Join Telegram- Maths by Aditya Ranjan Problems on Age

Problems on Age/vk;q laca/h iz'u

( Practice Sheet With Solution)
1. Father is aged three times more than his son 6. Ayesha's father was 38 years of age when she
Ronit. After 8 years, he would be two and a was born while her mother was 36 years old
half times of Ronit's age. After further 8 years, when her brother four years younger to her
how many times would he be of Ronit's age? was born. What is the difference between the
firk dh vk;q mlds iq=k jksfur ls rhu xquk vf/d gSA 8 ages of her parents?
o"kZ ckn mldh vk;q jksfur dh vk;q dh <kbZ xquh gks tc vk;'kk dk tUe gqvk rc mlds firk dh mez 38 lky
tk,xhA vxys 8 o"kZ ckn] og jksfur dh vk;q dk fdruk Fkh] tcfd mlls pkj lky NksVs HkkbZ ds iSnk gksus
xquk gksxk\ mldh eka dh mez 36 lky FkhA mlds ekrk&firk dh vk;q

r
(a) 2 times (b) 3 times
(c) 4 times (d) 1 times ds chp dk varj fdruk gS\

si
2. Sum of ages of 5 children born at the intervals (a) 2 years (b) 4 years
of 3 years each is 50 years. What is the age of (c) 6 years (d) 8 years
an by
the youngest child? 7.
3 o"kZ ds varjky ij iSnk gq, 5 cPpksa dh vk;q dk ;ksx
The age of father 10 years ago was thrice the
age of his son. Ten years hence, father's age

n
50 o"kZ gSA lcls NksVs cPps dh vk;q D;k gS\ will be twice that of his son. The ratio of their
(a) 4 years (b) 8 years present ages is:
(c) 10 years ja (d) None of these 10 o"kZ iwoZ firk dh vk;q mlds iq=k dh vk;q dh rhu xqu
R s
3. A father said to his son, "I was as old as you
FkhA nl o"kZ ckn] firk dh vk;q mlds iq=k dh vk;q dh
a th

are at the present at the time of your birth".

If the father's age is 38 years now, the son's nksxquh gksxhA mudh orZeku vk;q dk vuqikr gS%
age five years back was: (a) 5 : 2 (b) 7 : 3
,d firk us vius iq=k ls dgk] rsjs tUe ds le; esjh mez (c) 9 : 2 (d) 13 : 4
ty a

mruh Fkh ftruh rqEgkjh vkt gSA ;fn firk dh vk;q vHkh 8. Q is as much younger than R as he is older
38 o"kZ gS] rks ik¡p o"kZ igys iq=k dh vk;q Fkh% than T. If the sum of the ages of R and T is 50
di M

(a) 14 years (b) 19 years years, what is definitely the difference between
(c) 33 years (d) 38 years R and Q's age?
4. Six years ago, the ratio of the ages of Kunal Q] R ls mruk gh NksVk gS ftrukTog ls cM+k gSA ;fn
and Sagar was 6 : 5. Four years hence, the
R vkSjT dh vk;q dk ;ksx 50 o"kZ gS] rks fuf'pr :i ls
ratio of their ages will be 11 : 10. What is
Sagar's age at present? R vkSjQ dh vk;q ds chp fdruk varj gS\
Ng o"kZ igys] dq.kky vkSj lkxj dh vk;q dk vuqikr 6 (a) 1 year (b) 2 years
% 5 FkkA pkj o"kZ ckn] mudh vk;q dk vuqikr 11 % 10(c) 25 years (d) Data inadequate
gksxkA orZeku esa lkxj dh vk;q fdruh gS\ 2
(a) 16 years (b) 18 years 9. A person's present age is of the age of his
5
(c) 20 years
mother. After 8 years, he will be one-half of
A

(d) Cannot be determined

5. The present ages of three persons in the age of his mother. How old is the mother
proportions 4 : 7 : 9. Eight years ago, the sum at present?
of their ages was 56. Find their present ages ,d O;fÙkQ dh orZeku vk;q mldh ekrk dh vk;q dk
(in years).
2
rhu O;fÙkQ;ksa dh orZeku vk;q dk vuqikr 4 % 7 % 9 gSA gSA 8 o"kZ ckn mldh vk;q viuh ekrk dh vk;q dh
5
vkB o"kZ iwoZ mudh vk;q dk ;ksx 56 FkkA mudh orZeku
vk;q (o"kks± esa) Kkr dhft,A vk/h gksxhA orZeku esa ek¡ dh mez fdruh gS\
(a) 8, 20, 28 (b) 16, 28, 36 (a) 32 years (b) 36 years
(c) 20, 35, 45 (d) None of these (c) 40 years (d) 48 years

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10. What is Sonia's present age? 13. I was married 10 years ago my wife is the 6th
lksfu;k dh orZeku vk;q D;k gS\ member of the family. Today my father died
I. Sonia's present age is five times Deepak's and a baby born to me.The average age of my
present age. family during my marriage was same as today.
What is the age of Father when he died ?
lksfu;k dh orZeku vk;q nhid dh orZeku vk;q dk
ikap xquk gSA esjh 'kknh 10 lky igys gqbZ Fkh esjh iRuh ifjokj dh NBh
II. Five years ago her age was twenty-five times lnL; gSA vkt esjs firk dh e`R;q gks xbZ vkSj esjs ,d cPps
Deepak's age at that time. dk tUe gqvkA esjh 'kknh ds nkSjku esjs ifjokj dh vkSlr
ik¡p o"kZ igys mldh vk;q ml le; nhid dh vk;q vk;q ftruh Fkh vkt Hkh mruh gh gSA firk dh e`R;q ds
dk iPphl xquk FkhA le; mudh vk;q D;k Fkh\
(a) II alone sufficient while I alone not (a) 50 yrs (b) 60 yrs
sufficient to answer
(c) 70 yrs (d) 65 yrs
II vdsys i;kZIr tcfd I vdsyk mÙkj nsus ds fy,
14. Raju got married 8years ago. His present age
i;kZIr ugha gwa
(b) Either I or II alone sufficient to answer 6
is times his age at the time of his marriage
;k rksI ;k II vdsys mÙkj nsus ds fy, i;kZIr gSa 5

r
(c) Both I and II are not sufficient to answer Raju's sister was 10 years younger to him at

si
I vkSjII nksuksa mÙkj nsus ds fy, i;kZIr ugha gSa the time of his marriage. The present age of
Raju's sister is ?
(d) Both I and II are necessary to answer

11.
an by
mÙkj nsus ds fy,I vkSjII nksuksa vko';d gSa
Divya is twice as old as Shruti. What is the
jktw dh 'kknh 8 lky igys gqbZ FkhA mldh orZeku vk;
6

n
difference in their ages? mlds fookg ds le; dh vk;q dk xquk gS jktw dh
5
fnO;k dh mez Jqfr ls nksxquh gSA mudh vk;q esa fdruk
cgu mldh 'kknh ds le; mlls 10 o"kZ NksVh FkhA jktw dh
varj gS\ ja
R s
cgu dh orZeku vk;q fdruh gS\
I. Five years hence, the ratio of their ages
a th

(a) 30 (b) 32
would be 9 : 5.
ikap o"kZ ckn] mudh vk;q dk vuqikr 9 % 5 gksxkA(c) 38 (d) None
II. Ten years back, the ratio of their ages was 15. Six years ago Anita was P times as old as Ben
3 : 1. was. If Anita is now 17 years old, how old is
ty a

nl o"kZ igys] mudh vk;q dk vuqikr 3 % 1 FkkA Ben now in terms of P ?

(a) II alone sufficient while I alone not N% o"kZ igys vuhrk dh vk;q csu dh vk;qP dh
xquh FkhA
di M

sufficient to answer ;fn vuhrk vHkh 17 o"kZ dh gS]Prks

ds lanHkZ esa csu dh
II vdsys i;kZIr tcfd I vdsyk mÙkj nsus ds fy, vk;q fdruh gS\
i;kZIr ugha gwa
(b) Either I or II alone sufficient to answer 11 P
(a) (b)
;k rksI ;k II vdsys mÙkj nsus ds fy, i;kZIr gSa P +6 11 + 6
(c) Both I and II are not sufficient to answer 17 – P 11 + 6P
I vkSjII nksuksa mÙkj nsus ds fy, i;kZIr ugha gSa (c)
6
(d)
11
(d) Both I and II are necessary to answer
16. The age of a person is thrice the total ages of
mÙkj nsus ds fy,I vkSjII nksuksa vko';d gSa
his 2 daughters. 0.5 decades hence, his age
12. If 6 years are subtracted from the present age will be twice of the total ages of his daughters.
of Arun and the remainder is divided by 18, then
A

Then what is the father's current age?

the present age of his grandson Gokul is obtained.
If Gokul is 2 years younger to Madan whose age ,d O;fÙkQ dh vk;q mldh 2 iqf=k;ksa dh dqy vk;q dh rhu
is 5 years, then what is the age of Arun ? xquh gSA 0-5 n'kd ckn] mldh vk;q mldh iqf=k;ksa dh dq
;fn v#.k dh orZeku vk;q esa ls 6 o"kZ ?kVkdj 'ks"k dksvk;q dh nksxquh gks tk,xhA rks firk dh orZeku vk;q D;k g
18 ls foHkkftr fd;k tk,] rks mlds iksrs xksdqy dh (a) 35 years (b) 40 years
orZeku vk;q çkIr gksrh gSA ;fn xksdqy enu ls 2 o"kZ NksVk
(c) 45 years (d) 47 years
gS ftldh vk;q 5 o"kZ gS] rks v#.k dh vk;q fdruh gS\
17. Ten years ago, Karan was thrice as old as Shiva
(a) 72 years (b) 54 years was but 10 years hence, he will be twice as
(c) 60 years (d) 47 years old. Find Shiva's present age ?

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nl o"kZ igys] dj.k dh vk;q f'ko dh vk;q dh rhu xquh (a) 39 yrs (b) 45 yrs
Fkh] ysfdu 10 o"kZ ckn] og nksxquh vk;q dk gksxkA f'ko (c) 42 yrs (d) 35 yrs
22. Five years ago Laurel was four years more than
dh orZeku vk;q Kkr dhft;s\
four times the age of his son. Three years
(a) 70 years (b) 30 years
hence Laurel`s age will be six years less than
(c) 60 years (d) 40 years
thrice the age of his son. After how many years
18. The average age of a couple is 24 years when
from now will their combined age be 50 years?
they were married five years ago but now the
average age of the husband, wife and child is ik¡p o"kZ igys ykWjsy dh vk;q mlds iq=k dh vk;q ds pk
20 years (the child was born during the interval). xqus ls pkj o"kZ vf/d FkhA rhu o"kZ ckn ykWjsy dh v
What is the present age of the child ? mlds iq=k dh vk;q ds rhu xqus ls Ng o"kZ de gksxhA v
ik¡p o"kZ iwoZ fookg ds le; ,d naifÙk dh vkSlr vk;q ls fdrus o"kZ ckn mudh la;qÙkQ vk;q 50 o"kZ gksxh\
24 o"kZ gS ysfdu vc ifr] iRuh vkSj cPps dh vkSlr vk;q CRPF HCM 23/02/2023 (Shift - 03)
20 o"kZ gS (varjky ds nkSjku cPps dk tUe gqvk)A cPps(a) 10 (b) 8
dh orZeku vk;q D;k gS\ (c) 6 (d) 3
(a) 2 yrs (b) 4 yrs 23. The persent age (in years) of Arun is one year

r
(c) 3 yrs (d) 5 yrs less then two times the present age (in years)
19. A woman says, "If you reverse my own age, of Varun. After 5 years from now, Varun's age

si
the figures represent my husband's age. He 2
is, of course, senior to me and the difference will be equal to of the present age of Arun.
an by
between our ages is one-eleventh of their sum."
The woman's husband age is ?
3
What is the sum of the ages (in years) of Arun

n
and Varun after 2 years from now?
,d efgyk dgrh gS] ;fn vki esjh mez dks mYVk djrs gSa] rks
v#.k dh orZeku vk;q (o"kks± esa) o#.k dh orZeku vk;q
vkadM+s esjs ifr dh mez dk çfrfuf/Ro djrs gSaA og fuf'pr
ja (o"kks± esa) ds nks xqus ls ,d o"kZ de gSA vc ls 5 o"
:i ls eq>ls ofj"B gSa vkSj gekjh mez ds chp dk varj
gekjs
R s
mez ds ;ksx dk X;kjgoka fgLlk gSA efgyk ds ifr dh mez gS\ ckn] o#.k dh vk;q v#.k dh orZeku vk;q ds2 ds
a th

(a) 45 (b) 24 3
(c) 42 (d) 54 cjkcj gksxhA vc ls 2 o"kZ ckn v#.k vkSj o#.k dh vk;q
20. A is two years older than B who is twice as (o"kks± esa) dk ;ksx fdruk gS\
ty a

old as C. If the total of the ages of A, B and C

CRPF HCM 24/02/2023 (Shift - 01)
be 27, then how old is B ?
(a) 54 (b) 50
A, B ls nks o"kZ cM+k gS] ftldhCvk;q
ls nksxquh gSAA;fn
]
di M

(c) 58 (d) 52
B vkSjC dh dqy vk;q 27 gS] rksB dh vk;q fdruh gS\ 24. The present ages of two cousins are in the
(a) 10 yrs (b) 11 yrs ratio of 4 : 7. After 5 years, their ages are in
(c) 12 yrs (d) 13 yrs the ratio of 37 : 61. The ratio of their ages
21. The sum of the ages of a mother, son and after 8 years is:
daughter is 70 yrs. If mother is thrice as old nks ppsjs Hkkb;ksa dh orZeku vk;q dk vuqikr 4 % 7 gS
as her son and the daughter is 5 yrs older than
her brother. How old is mother?
o"kZ ckn] mudh vk;q dk vuqikr 37 % 61 gSA 8 o"kZ d
ckn mudh vk;q dk vuqikr gS%
,d ek¡] iq=k vkSj iq=kh dh vk;q dk ;ksx 70 o"kZ gSA ;fn
ekrk dh vk;q mlds iq=k dh vk;q dh rhu xquh gS rFkk iq=kh CRPF HCM 28/02/2023 (Shift - 01)
vius HkkbZ ls 5 o"kZ cM+h gSA ek¡ fdrus lky dh gS\ (a) 8 : 5 (b) 5 : 9
(c) 5 : 8 (d) 5 : 7
A

CRPF HCM 23/02/2023 (Shift - 02)

ANSWER KEY
1.(a) 2.(a) 3.(a) 4.(a) 5.(b) 6.(c) 7.(b) 8.(d) 9.(c) 10.(d)

11.(*) 12.(c) 13.(b) 14.(c) 15.(d) 16.(c) 17.(b) 18.(a) 19.(d) 20.(a)

21.(*) 22.(*) 23.(a) 24.(c)

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SOLUTION
1. (a) 7. (b)
F R F S
now 4 1 –10 years 3 1
+8 5 2 +10 years (2 1) × 2
1  8 + 10 years 4 2
5  40  1  20 years.
2  16 3  60 years.
F  16 32  16 48 2 Present age of Father = 70
 = = = Son = 30
R  16 8  16 24 1
2. (*)  ratio = 70 : 30
Let 'a' be the age of youngest child. =7:3
8. (d)

r
n A.T.Q.
We know, Sn = 2a  n  1 d 
2 R–Q=Q–T

si
5 R + T = 2Q = 50
50 =
2
 a = 4 years.
an by
[2a + 4 × 3]  Q = 25
We cannot tell the difference of R and Q by

n
given data.
3. (*)
9. (c)
A.T.Q.
F=s+s ja M P
R s
now 5 2
= 2s
+8 years (2 1) × 3
a th

 38 = 2s
 s = 19 +8 years 6 3
 s – 5 = 14 year. 18
4. (a) 5  40 years.
ty a

K S 10. (d)
–6 year 6 5 S D
di M

+4 year 11 10 Now (5 1) × 24 Difference bill same

5  10 –5 years (25 1) × 4
12 now 120 24
10  20 –5 years 100 4
Present age of Sagar = 20 – 4 = 16 year 5  20
5. (b) 14
A B C 120  480
4 7 9
 both (a) & (b) are required to answer.
A.T.Q.
11. (b)
(4x+7x+9x) – 24 = 56
D S
20x = 80
x=4 now (2 : 1) × 4
A

 Present ages = 16, 28, 36 (a) –5 years 9 : 5

6. (c) now 8 4
A.T.Q. 1  5 years
F – A = 38 ...(1) 4  20 years
A – Brother = 4 now 2:1×24 2
Brother = A – 4 (b) –10 years 3 : 1 3 1
M – B = 36 1  10 years
M – A = 32 ...(2) 2  20 years
from (1) and (2)  either (a) or (b) are alone sufficient to
F – M = 6 years. answer.

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12. (c) 17. (b)

A.T.Q. K S
–10 years 3 1
A6 + 10 years 2 1×2
=G
18 +10 years 4 2
 A – 6 = 18 G 1  20 years
 A = 18G + 6 ...(1) 2  40 years
also, G = 5 – 2 = 3 ...(2) Present age of Shiva = 30 years.
Put (2) in (1) 18. (a)
A = 54 + 6 = 60 years. A.T.Q.
13. (b) H 5 W  5
Let, S be the sum of all 6 members at the = 24
2
time of marriage and a be the average at that
 H + W = 58 ...(1)
time. Let, F be father's age when he died.
A.T.Q. H WC
Also, = 20
S = 6a ...(1) 3

r
H + W + C = 60 ...(2)
S  F  60

si
and, =a Put (1) in (2)
6
C = 2 years.

 F = 60 years.
an by
 6a – F + 60 = 6a (from (1)) 19. (d)
Let, women's age = 10x + y

n
14. (c)  Husband's age = 10y + x
–8 years now
1
Raju 5 6ja  10y + x –(10x + y) = (10y+x+10x+y)
R s
11
18
a th

5  40 1
9y – 9x = (11y + 11x) = x + y
 6  48  present age of Raju 11
Also, R – S = 10 10x = 8y
 S = 38 years.
ty a

4
x = y
5
15. (d)
di M

x = 4, y = 5
Anita Ben
 Husband's age = 10 × 5 + 4 = 54
Px x
20. (a)
–6  A.T.Q.
(x + 6) A = 2 + B and B = 2C
 (Px + 6)
Also, A + B + C = 27
Px + 6 = 17
B
11 2+B+B+ = 27
x= 2
P
5B
 11  = 25
+ 6 2
Age of Ben =  
A

P B = 10 years.
21. (a)
11+ 6P
= A.T.Q.
P
M + S + D = 70
16. (c) and M = 3s, D = S + 5
Let, D1 + D2 = A solving above equations, we have
Father's current age = 3A years 3s + s + s + 5 = 70
Also, 3A + 5 = 2(A + 10) 5s = 65
 A = 15 s = 13 years
 Father's current age = 45 years. M = 39 years.

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22. (d) 23. (a)

Let, age of son be A A = 2V – 1 ...(1)
A.T.Q., 2
L–5 = 4(A–5) + 4 V+5= A ...(2)
3
L–5 = 4A–20 + 4 from (1) and (2)
L–4A + 11 = 0 ...(1) A = 33, V = 17 years
Also,  A + 2 + V + 2 = 54 years
(L+3) = 3(A+3) – 6 24. (c)
L + 3 = 3A + 3 A B
L = 3A ...(2) now 4 7 × 24
Put (2) in (1) +5 years 37 61 × 3
now 96 168
3A – 4A = –11
+5 years 111 183
A = 11
15  5 years
L = 33
then, (L+A) + x = 50 1
1

r
 x = 50 – 44 3
96  32 years

si
x=6
 L + 3 + A + 3 = 50 168  56 years
A after 8 years = 40 years.
an by
 after 3 years from now, their combined age
will be 50 years.
B after 8 years = 64 years
 required ratio = 40 : 64 = 5 : 8

n
ja
R s
a th
ty a
di M
A

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QUESTIONS BASED ON AGE/ vk;q ij vk/kfjr iz'u

[CLASSROOM SHEET]
1. The present age of Rahim is five times the firk vkSj iq=k dh vk;q esa 15 o"kZ dk varj gSA 5 o"kZ
present age of his daughter, Savita. Seven iwoZ firk dh vk;q] vius iq=k dh vk;q dh 2 xquh FkhA
years from now, Rahim will be three times
mu nksuksa dh orZeku vk;q Kkr dhft,A
as old as Savita. What is the present age (in
years) of Rahim? SSC CHSL TIER II 26/06/2023
jghe dh orZeku vk;q] mldh iq=kh lfork dh orZeku (a) 45 yrs, 30 yrs (b) 40 yrs, 25 yrs
vk;q dh ik¡p xquk gSA vc ls lkr o"kZ ckn jghe dh (c) 30 yrs, 15 yrs (d) 35 yrs, 20 yrs

r
vk;q] lfork dh vk;q dh rhu xquh gksxhA jghe 5.dh The ratio between the present ages of A
orZeku vk;q (o"kZ esa) D;k gS\

si
and B is 3:5. If the ratio of their ages five
years hence becomes 13:20, then the
CGL PRE, 14/07/2023 (Shift-2)
(a) 45 an by (b) 35
present age of B is :
A vkSj B dh orZeku vk;q dk vuqikr 3%5 gSA ;fn

n
(c) 40 (d) 30 ikap o"kZ ckn mudh vk;q dk vuqikr 13%20 gks tkrk
2. Ratio of the present age of a mother to gS] rks
B dh orZeku vk;q gS%

ja
that of the daughter is 7 : 1. After 5 years
R s
CGL 2019 Tier-II (18-11-2020)
the ratio will become 4 : 1. What is the (a) 32 Years (b) 35 Years
a th

difference (in years) in their present ages?

(c) 30 Years (d) 40 Years
,d ek¡ vksj mldh csVh dh orZeku vk;q dk vuqikr
6. Eight year ago, the ratio of ages of A and
7 % 1 gSA 5 o"kZ ckn ;g vuqikr 4 % 1 gks tk,xkA B was 5 : 4. The ratio of their present ages
ty a

mudh orZeku vk;q esa varj (o"kZ esa) Kkr djsaA is 6 : 5. What will be the sum (in years) of
the ages of A and B after 7 years from now?
SSC CGL 16/08/2021 (Shift-01)
di M

vkB o"kZ igys]

A vkSjB dh vk;q dk vuqikr 5 % 4
(a) 30 (b) 28
FkkA mudh orZeku vk;q dk vuqikr 6 % 5 gSA vc ls
(c) 29 (d) 31 7 o"kZ ckn]
A vkSj B dh vk;q dk ;ksx (o"kksZa esa)
3. The ratio of present ages of A and B is 7 : fdruk gksxk\
8. After 6 years from now, the ratio of their SSC CGL MAINS 29 JAN 2022
ages will be 8 : 9. If C's present age is 10
(a) 80 (b) 112
years more than the present age of A, then
(c) 112 (d) 102
the present age (in years) of C is:
7. Mother told her daughter, "Seven years
A vkSjB dh orZeku vk;q dk vuqikr 7 % 8 gSA vc ago, I was seven times as old as you were
ls Ng o"kZ ckn] mudh vk;q dk vuqikr 8 % 9 gksxkAthen. Also, three years from now, I shall be
;fn C dh orZeku vk;q]A dh orZeku vk;q ls 10
A

three times as old as you will be". Find the

o"kZ vf/d gS] rks
C dh orZeku vk;q (o"kZ esa) Kkr present ages of the mother and the
djsaA daughter, respectively.

SSC CGL 17/08/2021 (Shift-03) ek¡ us viuh iq=kh ls dgk] ¶lkr lky igys] esjh vk;q
rqEgkjh rc dh vk;q dh lkr xquk FkhA vc ls rhu o"kZ
(a) 56 (b) 52
ckn esjh vk;q rqEgkjh rc dh vk;q dh rhu xquh gks
(c) 59 (d) 45 tk,xhA ek¡ vkSj iq=kh dh Øe'k% orZeku vk;q Kkr dhft,A
4. The difference between the ages of father
SSC CGL TIER I 19/07/2023 (Shift-03)
and son is 15 years. 5 years ago the age of
the father was twice the age of his son. (a) 45; 15 (b) 40; 10
Find the present age of both of them. (c) 42; 12 (d) 50; 20

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8. The ratio of the age of Ram and Rahim 10 13. The ages of Fatima and Ahmed are in the
years ago was 1 : 3. The ratio of their age ratio of 3:8. The sum of their present ages
five years hence will be 2 : 3. Then the ra- is 44 years. The difference of their ages is:
tio of their present age is
iQkfrek vkSj vgen dh vk;q dk vuqikr 3%8 gSA mudh
10 o"kZ iwoZ jke vkSj jghe dh vk;q dk vuqikr 1%3 orZeku vk;q dk ;ksx 44 o"kZ gSA mudh vk;q dk varj gS%
FkkA ikap o"kZ ckn mudh vk;q dk vuqikr 2%3 gksxkA SSC CHSL 26/10/2020 (Shift-03)
rks mudh orZeku vk;q dk vuqikr gS
(a) 30 years (b) 11 years
(a) 1 : 2 (b) 3 : 5
(c) 24 years (d) 20 years
(c) 3 : 4 (d) 2 : 5
9. The ratio of present ages of two brothers 14. The ratio of present ages (in years) of a fa-
is 1 : 2 and 5 years back the ratio was 1 : ther and son is 15 : 8. Six years ago, the
3. What will be the ratio of their age after ratio of their ages was 13 : 6. What is the
5 years ? father's present age?
,d firk vkSj iq=k dh orZeku vk;q (o"kks± esa) dk
nks Hkkb;ksa dh orZeku vk;q dk vuqikr 1 % 2 gS vkSj

r
vuqikr 15%8 gSA Ng o"kZ igys] mudh vk;q dk vuqikr
5 o"kZ iwoZ vuqikr 1 % 3 FkkA 5 o"kZ ckn mudh vk;q

si
dk vuqikr D;k gksxk\ 13%6 FkkA firk dh orZeku vk;q D;k gS\
SSC CHSL 19/10/2020 (Shift-03)
(a) 1 : 4
(c) 3 : 5 an by (b) 2 : 3
(d) 5 : 6 (a) 65 years (b) 58 years

n
10. The ratio of the ages of A and B is 3 : 4. (c) 45 years (d) 78 years
Four years ago, the ratio of their ages was 15. Six years ago, the average of the ages of

ja
5 : 7. What will be the ratio of the ages of
R s
Ravi, Mohan and Govind was 32 years. If
A and B four years from now?
Shyam joins them now, the average of the
a th

A vkSjB dh vk;q dk vuqikr 3%4 gSA pkj o"kZ igys] ages of all four of them is 36 years. The
mudh vk;q dk vuqikr 5%7 FkkA vc ls pkj o"kZ ckn present age of Shyam is:
A vkSjB dh vk;q dk vuqikr D;k gksxk\
Ng o"kZ igys] jfo] eksgu vkSj xksfoan dh vk;q dk
ty a

SSC PHASE IX 10/02/2022 (Shift-03)

vkSlr 32 o"kZ FkkA ;fn ';ke vc muds lkFk tqM+
(a) 6 : 7 (b) 5 : 6
tkrk gS] rks mu pkjksa dh vk;q dk vkSlr 36 o"kZ gSA
di M

(c) 4 : 5 (d) 7 : 9
';ke dh orZeku vk;q gS%
11. The ratio of the present ages of a man and
SSC CHSL 14/10/2020 (Shift-01)
his son is 5 : 3. The average of their
present ages is 32 years. What will be the (a) 35 years (b) 32 years
ratio of their ages after six years? (c) 40 years (d) 30 years
,d O;fDr vkSj mlds iq=k dh orZeku vk;q dk vuqikr
16. The ratio of ages of A and B, 8 years ago,
5 : 3 gSA mudh orZeku vk;q dk vkSlr
32 o"kZ gSA Ng was 2:3. Four years ago, the ratio of their
o"kZ i'pkr~ mudh vk;q dk vuqikr fdruk gksxk\ ages was 5:7. What will be the ratio of their
ICAR Mains, 08/07/2023 (Shift-2) ages 8 years from now?
(a) 12 : 17 (b) 15 : 23 8 o"kZ iwoZ
A vkSjB dh vk;q dk vuqikr 2 % 3 FkkA
A

(c) 17 : 12 (d) 23 : 15 pkj o"kZ iwoZ] mudh vk;q dk vuqikr 5 % 7 FkkA vc

12. The ratio between Sumit and Prakash age ls 8 o"kZ ckn mudh vk;q dk vuqikr D;k gksxk\
at present is 2 : 3. Sumit is 6 years SSC CGL 5/03/2020 (Shift-01)
younger than Prakash. The ratio of Sumit’s
(a) 7:8 (b) 4:5
age to Prakash’s age after 6 years will be
orZeku esa lqfer vkSj çdk'k dh vk;q dk vuqikr 2%3 (c) 3:4 (d) 5:6
gSA lqfer] çdk'k ls 6 o"kZ NksVk gSA 6 o"kZ 17.ckn lqfer
Five year ago, the ratio of the ages of A and
dh vk;q dk çdk'k dh vk;q ls vuqikr gksxk B was 3 : 4. Five years from now, the ratio
(a) 2 : 3 (b) 1 : 2 of their ages will be 4:5. What is the ratio
(c) 4 : 3 (d) 3 : 4 of A and B, 10 years form now ?

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ikap o"kZ igys]

A vkSjB dh vk;q dk vuqikr 3%4 FkkA
21. 5 years ago, the ratio of the age of A to
vc ls ikap o"kZ ckn] mudh vk;q dk vuqikr 4%5 gksxkAthat of B was 4:5. Five years hence, the ra-
tio of the age of A to that of B will be 6:7.
vc 10 o"kZ ds :i esaA vkSjB dk vuqikr D;k gS\
If, at present, C is 10 years younger than
SSC MTS 22/08/2019 (Shift-02)
B, then what will be the ratio of the
(a) 9:11 (b) 6:7 present age of A to that of C ?
(c) 5:6 (d) 7:9 5 o"kZ igys]
A dh vk;q vkSjB dh vk;q dk vuqikr
18. Ramesh is three times older to Suresh. 4%5 FkkA ikap o"kZA ckn]
dh vk;q vkSjB dh vk;q
After two years Ramesh’s age will be twice dk vuqikr 6%7 gksxkA ;fn] orZeku C, esa]
B ls 10
the age of Suresh. What is the current age o"kZ NksVk gS]
A dhrks
orZeku vk;q vkSj
C dh orZeku
of Ramesh. vk;q dk vuqikr D;k gksxk\
jes'k] lqjs'k ls rhu xquk cM+k gSA nks o"kZ ckn jes'k dh SSC CGL Tier II 12/09/2019
vk;q lqjs'k dh vk;q dh nksxquh gksxhA jes'k dh orZeku
(a) 3:2 (b) 5:4
vk;q D;k gS\ (c) 4:3 (d) 5:3

r
SSC MTS 22/08/2019 (Shift-01) 22. The ratio of the ages of A and B, 8 years
ago, was 5 : 7. The ratio of their ages, 8

si
(a) 4 (b) 6
years from now, will be 9 : 11. If the present
(c) 3 (d) 2
age of C is 13 years less than that of B, and
19.
an by
One year ago, the ratio of the age (in years)
of A to that of B was 4:3. The ratio of their
the present age of D is 8 years less than
that of the age of A, then the sum of the

n
respective ages, 3 years from now, will be
present ages of C and D, in years, is:
6:5. What will be the ratio of respective
8 o"kZ iwoZ
A vkSj B dh vk;q dk vuqikr 5%7 FkkA

ja
ages of A and B, 9 years from now?
vc ls 8 o"kZ ckn mudh vk;q dk vuqikr 9%11 gksxkA
R s
,d o"kZ igys]A dh vk;q (o"kks± esa)Bdkdh vk;q
ls vuqikr 4%3 FkkA vc ls 3 o"kZ ckn mudh lacaf/r ;fn C dh orZeku vk;qB dh vk;q ls 13 o"kZ de
a th

vk;q dk vuqikr 6%5 gksxkA vc ls 9 o"kZ A ckn

vkSj gS] vkSjD dh orZeku vk;qA dh vk;q ls 8 o"kZ de
B dh lacaf/r vk;q dk vuqikr D;k gksxk\ gS] rks o"kks±
C vkSj
esaD dh orZeku vk;q dk ;ksx gS%
SSC CGL Tier II 11/09/2019 SSC PHASE IX 14/03/2022 (Shift-03)
ty a

(a) 7:6 (b) 10:9 (a) 47 (b) 55

(c) 9:8 (d) 8:7 (c) 43 (d) 53
di M

23. The sum of the present ages of father and

20. The present age of a husband and wife is in a son is 52 years. Four years hence, the
the ratio 5 : 4. After 6 years their ages will 1
be in the ratio 6 : 5. At the time of their son’s age will be that of the father.
marriage the ratio of their ages was 4 : 3. 4
What will be the ratio of the ages of the
How many years ago they were married? son and father,10 years from now?
ifr vkSj iRuh dh orZeku vk;q dk vuqikr 5 % 4 gSA 6 o"kZfirk vkSj iq=k dh orZeku vk;q dk ;ksx 52 o"kZ gSA
ckn mudh vk;q dk vuqikr 6 % 5 gks tk,xkA mudh 'kknh ds 1
pkj o"kZ ckn] iq=k dh vk;q firk dh vk;q dh
le; mudh vk;q dk vuqikr 4 % 3 FkkA mUgksaus fdrus o"kZ 4
igys 'kknh dh\ gksxhA 10 o"kZ ckn iq=k vkSj firk dh vk;q dk vuqikr
SSC PHASE XI 28/06/2023 (Shift-03) D;k gksxk\
(a) 8 yrs (b) 10 yrs (a) 2 : 7 (b) 2 : 5
A

(c) 6 yrs (d) 4 yrs (c) 3 : 8 (d) 1 : 3

ANSWER KEY

1. (b) 2.(a) 3. (b) 4. (d) 5. (b) 6. (d) 7. (c) 8. (b) 9. (c) 10. (d)

11.(d) 12.(d) 13.(d) 14.(c) 15.(d) 16.(b) 17.(a) 18.(b) 19.(c) 20.(c)

21.(c) 22.(c) 23.(d)

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BOAT AND STREAM/(uko vkSj /kjk)

(CLASSROOM SHEET)
Definition & Formulae Important Formulae/egRoiw.kZ lw=k
There are a variety of subconcepts that are Given below are a few important formulas with
related to answering questions based on boat the help of which you can solve the questions
and streams concept. Given below are the four based on boat and streams.
terms which are important for a candidate to uhps dqN egRoiw.kZ lw=k fn, x, gSa ftudh lgk;rk ls vki
know to understand the concept of streams.
uko vkSj ty/kjk ij vk/kfjr ç'uksa dks gy dj ldrs gSaA
uko vkSj /kjkvksa dh vo/kj.kk ij vk/kfjr ç'uksa ds mÙkj Candidates must learn these formulas by heart
nsus ls lacaf/r fofHkUu mi&vo/kj.kk,a gSaA uhps pkj 'kCn to ensure they are able to answer the simple
fn, x, gSa tks ,d ijh{kkFkhZ ds fy, /kjkvksa dh vo/kj.kk formula based questions correctly and do not

r
dks le>us ds fy, egRoiw.kZ gSaA end up losing marks for direct questions.
mEehnokjksa dks bu lw=kksa dks fny ls lh•uk pkfg, rkfd

si
 Stream//kjk : The moving water in a river lqfuf'pr gks lds fd os ljy lw=k vk/kfjr ç'uksa dk lgh mÙkj
nsus esa l{ke gSa vkSj lh/s ç'uksa ds fy, vad ugha SaAxaokrs g

an by
is called a stream.
unh esa cgrs ty dks /kjk dgrs gSaA Speed of boat in still water = B
Upstream/ÅèoZizokg 'kkar ty esa uko dh pky

n
 : If the boat is flowing
in the opposite direction to the stream, it is Speed of the stream = S
/kjk dh pky

ja
called upstream. In this case, the net speed
R s
of boat is called upstream speed. 1. Downstream Speed of boat = (B + S)
;fn uko /kjk ds foijhr fn'kk esa cg jgh gS] rks bls uko dh vuqizokg pky
a th
ÅèoZizokg dgk tkrk gSA bl fLFkfr esa uko dh dqy xfr dks
2. Upstream Speed of boat = (B – S)
ÅèoZizokg xfr dgrs gSaA uko dh ÅèoZizokg pky
3. Speed of boat in still water
 Downstream / vuqizokg
: If the boat is
'kkar ty esa uko dh pky
ty a

flowing along the direction of the stream, it

is called downstream. In this case, the net 1
= (Downstream speed + Upstream speed)
speed of boat is called downtream speed.
di M

2
;fn uko /kjk ds fn'kk esa cg jgh gS] rks bls vuqizokg 4.
dgk Speed of the stream//kjk dh pky
tkrk gSA bl fLFkfr esa uko dh dqy xfr dks vuqizokg xfr 1
dgrs gSaA =
2
(Downstream speed – Upstream speed)

 Still Water / ' kk a r t y: Under this Points to Remember/Lej.kh; rF;

circumstance the water is considered to be
stationary and the speed of the water is zero. 1. If the total time taken by the boat to row a
,slh fLFkfr esa ty dks fLFkj ekuk tkrk gS vkSj ty dh xfr distance of D and reach back to its initial
position is T then,
'kwU; gksrh gSA
;fn uko }kjkD dh nwjh r; djus vkSj viuh çkjafHkd fLFkfr
The questions from this topic may seem to be
confusing until a candidate is aware of the esa okil vkus esa fy;k x;k dqy le;T gS] rks
above-mentioned terms and how they may be (a) Distance between the two places is
A

used for answering the questions. nks LFkkuksa ds chp dh nwjh

bl fo"k; ds ç'u rc rd Hkzfer djus okys çrhr gks ldrs T B 2 – S 2 
gSa tc rd fd dksbZ mEehnokj mi;ZqÙkQ 'krks± ls voxr u gksD =
2B
vkSj ç'uksa dk mÙkj nsus ds fy, mudk mi;ksx dSls fd;k tk
ldrk gSA (b) Average speed of the boat =
 B 2 – S2 
This topic basically deals with calculating the 2B
speed of anything in the water when it flows uko dh vkSlr pky
along with the flow of water or in the opposite 2. If it takes T hours more to go to a point
direction. upstream than downstream for the same
;g fo"k; ewy :i ls ikuh ds çokg ds lkFk ;k foijhr distance. Then,
fn'kk esa cgus ij ikuh esa fdlh Hkh pht dh xfr dh x.kuk ;fn leku nwjh ds fy, /kjk ds çfrdwy fdlh fcanq ij tkus esa
djus ls lacaf/r gSA /kjk ds vuqdwy tkus dh rqyukTesa ?kaVs vf/d yxrs gSa] rks

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4. If the time taken by the boat to row same

T B 2 – S 2 
Distance/nwjh
= distance in downstream is T1 and in upstream
2S is T2.
3. If a boat travels a distance downstream in T1 ;fn uko }kjk vuqçokg esa leku nwjh dks ikj djus esa fy;k
hours and returns the same distance upstream
in T2 hours.
x;k le; T1 gS vkSj /kjk ds çfrdwy Tesa
2
gSA
;fn ,d uko /kjk ds vuqdwy ,d nwjhT1 ?kaVs esa r; djrh Then, the ratio of speed of the boat to the speed
of stream
gS vkSj leku nwjh /kjk ds çfrdwy
T2 ?kaVs esa okil vkrh gS
Then, speed of man in Still water
rks] uko dh xfr dk /kjk dh xfr ls vuqikr
rks] fLFkj ty esa euq"; dh xfr B  T2 + T1 
= S= T –T
S  T2 + T1   2 1
=
 T2 – T1 

PRACTICE SHEET

r
si
SOME BASICS QUESTIONS 4. A man wishes to cover 1 km distance in river

an by
water. In still water he takes 12 minutes to
1. If the speed of a swimmer is 9 km/hr in still cover it, but in the flowing river he takes 13

n
water and the speed of stream is 5 km/hr then minutes. The speed of the flowing water of the
find the speed of swimmer against the stream river is:
and along the stream.

ja
,d iq#"k unh ds ikuh esa 1 fdeh dh nwjh r; djuk pkgrk
R s
;fn 'kkar ty esa fdlh rSjkd dh pky 9 fdeh@#?kaVk o
gSA 'kkar ty esa bl nwjh dks r; djus esa mls 12 feuV yxrs
/kjk dh pky 5 fdeh@?kaVk gS rks /kjk ds izfrdwy o /kjk
a th
gSA ysfdu cgrh unh esa 13 feuV yxrs gSaA unh ds cgr
ds vuqdwy rSjrs le; rSjkd dh pky Kkr dhft,A
ikuh dh pky Kkr djsaA
(a) 4km/hr, 10 km/hr
SSC CPO 27/06/2024 (Shift-01)
(b) 4km/hr, 14 km/hr
ty a

5
(c) 14km/hr, 16 km/hr (a) 25 km/h (b) km/h
13
di M

(d) 14km/hr, 18 km/hr

7
2. The speed fo a boat when travelling (c) 22 km/h (d) km/h
12
downstream is 32 km/hr, whereas when
travelling upstream it is 28 km/hr. What is the Type-01
speed of the boat in still water and the speed 5. A boat covers a certain distance downstream
of the stream?
1
/kjk dh fn'kk esa tkrs gq, uko dh pky 32 fdeh@?kaVk in 2 hours, while it comes back in 2 2 hours.
gS tcfd /kjk ds foijhr uko dh pky 28 fdeh@?kaVk If the speed of the stream is 3 km/h, then
gSA uko dh pky 'kkar ty esa vkSj /kjk dh pky D;k gS\ what is the speed of the boat in still water ?
(a) 29 km/hr, 3 km/hr ,d uko /kjk ds vuqdwy ,d fuf'pr nwjh 2 ?kaVs esa r;
(b) 30 km/hr, 2 km/hr
1
A

(c) 30 km/hr, 8 km/hr djrh gS] tcfd og 2 ?kaVs esa okil vkrh gSA ;fn
2
(d) 31 km/hr, 1 km/hr
3. A boat takes 48 minutes to cover 12 km
èkkjk dh pky 3 fdeh
/?akVk gS] rks fLFkj ty esa uko dh
against the steam, if the speed of stream is pky D;k gS\
2 km/hr then what will be the speed of the SSC Phase XII 24/06/2024 (Shift-03)
boat in still water? (a) 29 km/h (b) 25 km/h
,d uko /kjk dh foijhr fn'kk esa 48 feuV esa 12 (c) 20 km/h (d) 27 km/h
fdeh dh nwjh r; djrh gS] ;fn /kjk dh xfr 2 fdeh@?kaVk
6. A swimmer walks 30 km along the flow of river
gks rks 'kkar ty esa uko dh xfr fdruh gksaxh\ in 3 hours 45 minutes and walks 15 km
against the flow in 2 hours 30 minutes find
(a) 17 km/h (b) 15 km/h the speed of boat in still water and the speed
(c) 13 km/h (d) 1.25 km/h of flow (in km/hr).

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,d ukfod unh esa cgko dh vksj 3 ?kaVs 45 feuV10.

esa The speed of boat in still water is thrice the
30 fdeh uko pykrk gS rFkk cgko ds fo:¼ 2 ?kaVs speed of stream. If takes 6 hours to go 48 km
against the steam then what is the speed of
30 feuV esa 15 fdeh- uko pykrk gS] fLFkj ikuh esa boat is still water in kilometer per hour?
uko dh xfr rFkk izokg dh xfr Kkr dhft,A
'kkar ty esa uko dh pky] /kjk dh pky dk rhu xquk
(a) 8 and 1 (b) 7 and 8
gSA ;fn /kjk ds foijhr 48 fdeh tkus esa uko dks 6
(c) 7 and 1 (d) 9 and 10
7. A boat moves downstream at the rate of 1 km
?kaVs yxrs gksa] rks 'kkar ty esa uko dh pky (fdyksehV
in 7½ minutes and upstream at the rate of izfr ?kaVk) D;k gS\
5 km an hour. What is the speed of the boat (a) 10 (b) 8
in the still water?
(c) 12 (d) 14
,d uko 7-5 feuV esa 1 fdeh dh nj ls vuqçokg esa11. A man can row 18km/h in still water. It takes
pyrh gS vkSj 5 fdeh@?kaVk dh nj ls ÅèoZ çokg esahim two times as long to row up as to row
pyrh gSA fLFkj ikuh esa uko dh xfr Kkr djsa\ down the river. Find the rate of the stream.

r
1 ,d vkneh fLFkj ty esa18km/h dh pky ls uko pyk

si
(a) 2 km/hr (b) 6 km/hr
2 ldrk gSA mls unh esa /kjk ds izfrdwy uko pykus esa] /kjk
1 ds vuqdwy uko pykus esa yxus okys le; ls nksxquk le;

an by
(c) 4 km/hr (d) 3km/hr
2 yxrk gSA /kjk dh pky Kkr dhft,A

n
8. A boat goes downstream in one third the time
SSC CHSL 01/07/2024 (Shift-03)
it takes to go upstream. Then, the ratio
between the speed of boat in still water and (a) 12 km/h (b) 6 km/h

ja
R s
that of the stream is : (c) 24 km/h (d) 9 km/h
,d uko ,d fuf'pr nwjh /kjk ds çfrdwy r; djus esa
a th
Type-03
fy, x, le; dh rqyuk esa /kjk ds vuqdwy leku nwjh
r; djus esa ,d frgkbZ le; ysrh gSA rks] fLFkj ikuh12.
esa A boat travels 3 km upstream in 1 h and 1 km
downstream in 12 min. How much time will
uko dh xfr vkSj /kjk dh xfr ds chp dk vuqikr it take for the boat to go 6 km in still water?
ty a

Kkr djsaA
,d uko /kjk dh çfrdwy fn'kk esa1 ?kaVs3esa
fdeh pyrh
(a) 3 : 1 (b) 1 : 3
gS vkSj /kjk dh vuqdwy fn'kk12esa feuV esa1 fdeh
di M

(c) 1 : 2 (d) 2 : 1
pyrh gSA uko dks fLFkj ty 6esa fdeh tkus esa fdruk
Type-02 le; yxsxk\
1 SSC CHSL TIER-II 10/01/2024
9. The speed of a boat in still water is 5 km/h.
3 (a) 1 h 30 min (b) 1 h 25 min
It is found that the boat takes thrice as much (c) 1 h 20 min (d) 1 h 15 min
time to row up than it does to row down the
13. A swimmer can swim 2 km in 15 minute in
same distance in the river stream. Find the
a lake in still water and he can swim 4 km
speed of the river stream.
along the flow of river in 20 minutes. if a paper
1 boat is put into river, then how far will it float
'kkar ty eas ,d uko dh pky 5 km/h gSA ;g ik;k
A

3 1
in 2 hours?
gS fd uko dks /kjk dh foijhr fn'kk eas ,d fuf'pr 2
nwjh r; djus esa yxus okyk le;] /kjk dh fn'kk eas ,d rSjkd >hy esa 'kkar ty esa 15 feuV esa 2 fdeh
ogh nwjh r; djus esa yxus okys le; dk rhu xquk gSA rd rSjdj tk ldrk gS rFkk og ,d unh esa /kjk ds
unh dh /kjk dh pky Kkr dhft,A lkFk 20 feuV esa 4 fdeh dh nwjh rd rSj ldrk gSA
SSC CGL 05/12/2022 (Shift- 02) ;fn ml unh esa ,d dkxt dh uko j[k nh tk,] rks
23 22 1
(a)
27
m/sec (b)
27
m/sec og 2 ?kaVs esa fdruh nwj rd cgdj pyh tk,xh\
2
20 19 (a) 18 km (b) 12 km
(c) m/sec (d) m/sec
27 27 (c) 8 km (d) 10 km

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Type-04 18. The speed of a boat in still water is 6 km/h

and the speed of the stream is 1.5 km/h. In
14. A man goes downstream with a boat to some going from point A to point B and returning
destination and returns upstream to his to A, the boatman takes 2 hours 40 min. Find
original place in 5 hours. If the speed of the
the distance between points A and B.
boat in still water and the stream are 10 km/
hr and 4 km/hr respectively, the distance of fLFkj ty esa ,d uko dh xfr 6 fdeh@?kaVk gS vkSj /kjk
the destination from the starting place is dh xfr 1-5 fdeh@?kaVk gSAA fcanq
ls fcanqB rd tkus
,d vkneh uko ls fdlh xarO; rd tkus vkSj vius ewy vkSj fcanq
A ij ykSVus esa ukfod dks 2 ?kaVs 40 feuV yxrs
LFkku ij okil vkus esa 5 ?kaVs dk le; ysrk gSA ;fn fLFkjgSaA fcanq
A vkSjB ds chp dh nwjh Kkr dhft,A
SSC Phase XII 24/06/2024 (Shift-02)
ikuh esa uko dh xfr vkSj /kjk dh xfr Øe'k% 10 fdeh@?kaVk
(a) 7.5 km (b) 7 km
vkSj4 fdeh@?kaVk gS] rks çkjafHkd LFkku ls xarO; dh(c) nwjh
8 km (d) 8.5 km
Kkr djsaA 19. A man rows to a place 48 km distant and
(a) 16 km (b) 18 km comes back in 14 hours. He finds that he can

r
row 4 km with the stream in the same time
(c) 21 km (d) 25 km
as 3 km against the stream. The speed of the

si
15. Speed of a boat is 5 km/hr in still water and stream is:
the speed of the stream is 3 km/hr. If the boat ,d vkneh 48 km nwj ,d LFkku ij uko pykdj

an by
takes 3 hours to go a place and come back,
the distance of the place is:
tkrk gS vkSj 14 ?kaVs eas okil vkrk gSA og ikrk gS f
og /kjk ds lkFk 4 km dh nwjh r; dj ldrk gS]

n
,d uko dh xfr fLFkj ikuh esa 5 fdeh@?kaVk gS vkSj èkkjk
tcfd mlh le; esa /kjk ds foijhr og 3 km dh
dh xfr 3 fdeh@?kaVk gSA ;fn uko dks ,d L?Fkku ij tkus

ja
nwjh r; dj ldrk gSA /kjk dh pky gSA
R s
vkSj okil vkus esa 3 ?kaVs yxrs gSa] rks ml LFkku dh nwjh SSC CGL 07/12/2022 (Shift- 02)
Kkr djsaA
a th
(a) 1.5 km/h (b) 3.5 km/h
(a) 3.75 km (b) 4 km (b) 1.8 km/h (d) 1 km/h
(c) 4.8 km (d) 4.25 km 20. A boat can travel with a speed of 19 km/h
in still water. If the speed of the stream is 3
16. A motorboat, whose speed is 15 km/h in still
ty a

km/h, then what will be the total time (in

water goes 20 km downstream and comes back hours) taken by the boat to go 88 km
in a total of 4 hours. The speed of the stream downstream and 24 km upsteam ?
di M

(in km/h) is: ,d uko fLFkj ty esa 19 fdeh@?kaVk dh pky ls py

,d eksVjcksV dh pky fLFkj ty esa
15 km/h gSA mls ldrh gSA ;fn /kjk dh pky 3 fdeh@?kaVk gS rks uko
èkkjk dh fn'kk esa
20 km tkus vkSj ogk¡ ls okil vkus esa }kjk 88 fdeh /kjk dh fn'kk esa vkSj 24 fdeh /kjk dh
oqQy 4 ?kaVs yxrs gSaA rks /kjkkm/h
dh pkyesa)
( D;k gS\ foijhr fn'kk esa tkus esa dqy fdruk le; (?kaVs esa)
SSC Phase XII 26/06/2024 (Shift-04) yxsxk\
SSC CHSL 04/08/2021 (Shift- 01)
(a) 7 3 (b) 5 3 (a) 4.5 (b) 5
(c) 4 (d) 5.5
(c) 4 3 (d) 6 3
21. Ravi can row a boat in still water in the speed
17. The speed of a boat in still water is 12 km/h, of 14 km/h. If a river is flowing at the speed
and the speed of the stream is 3 km/h. A man of 2 km/h and Ravi takes 3 hours to cover a
A

goes to a place by boat, 45 km and comes back certain distance upstrain, then how much time
to the starting point. Find the total time taken will he take to cover the same distance
by him. downstream ?
jfo fLFkj ty esa ,d uko dks 14 fdeh@?kaVk dh pky ls
fLFkj ty esa ,d uko dh pky 12 fdeh/?kaVk gS] vkSj /
ys tk ldrk gSA ;fn unh 2 fdeh@?kaVk dh pky ls izokfgr
kjk dh pky 3 fdeh/?kaVk gSA ,d vkneh 45 fdeh dh
gS vkSj ujfo dks mlesa /kjk ds foijhr ,d fuf'pr nwjh
nwjh r; djds çkjafHkd fcanq ij okil vkrk gSA mlds }kjk
r; djus esa 3 ?kaVs yxrs gSa rks mls /kjk dh fn'kk e
fy;k x;k dqy le; Kkr dhft,A
mruh gh nwjh r; djus esa fdruk le; yxsxk\
SSC CHSL 08/07/2024 (Shift-03)
SSC CHSL 06/08/2021 (Shift- 01)
(a) 9 hours (b) 6 hours (a) 2 hr 20 min (b) 2 hr
(c) 8 hours (d) 7 hours (c) 2 hr 15 min (d) 2 hr 30 min

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22. A boat can travel 60 km downstream in 4 26.

X, Y are two points in a river. Points P and Q
hours. If the speed of the boat in still water is divide the straight line XY into three equal
13 km/h, then in what time will it cover 30 parts. The river flows along XY and the time
km upstream? taken by a boat to row from X to Q and from Y
,d ukSdk /kjk ds vuqdwy 60 fdeh dh ;k=kk 4 ?kaVs esato Q are in the ratio 4 : 5. The ratio of the speed
of the boat downstream that of the river current
dj ldrh gSA ;fn fLFkj ty esa ukSdk dh pky 13 fdeh@?kaVk is equal to:
gS] rks /kjk ds çfrdwy 30 fdeh dh ;k=kk ;g fdrus le;
esa r; djsxh\ X vkSj Y fdlh unh ij nks fcUnq gSaA fcUnq
P vkSj Q
SSC CHSL 02/07/2024 (Shift-01) lh/h js[kkXY dks rhu cjkcj Hkkxksa esa foHkkftr djrs
8 4 gSaA unh
XY ds lekukarj cgrh gS vkSj fdlh uko }kjk
X
(a) 2 hours (b) 3 hours ls Q rd vkSj Y ls Q dh ;k=kk esa yxus okys le; dk
11 7
4 5 vuqikr 4 % 5 gSA /kjk dh fn'kk esa uko dh pky vkSj
(c) 2 hours (d) 3 hours
7 7 unh dh /kjk dh pky dk vuqikr Kkr djsaA

r
23. A boat can go 15 km downstream and 8km
SSC CGL 13/08/2021 (Shift- 01)
upstream in 2 h. It can go 20 km

si
downstreamand 12km upstream in 2 h 50 m. (a) 3 : 10 (b) 3 : 4
What is the speed in km/h of the boat while (c) 10 : 3 (d) 4 : 3

an by
going downstream?
27. A boat moves 25 km upstream and 39km
dksbZ uko 2 ?kaVs esa /kjk dh fn'kk esa 15 fdeh vkSjdownstream
/ in 8 hours. It travels 35km

n
kjk dh foijhr fn'kk esa 8 fdeh dh nwjh r; dj ldrh upstream and 52 km downstream in 11 hours.
gSA ;g 2 ?kaVs 50 feuV esa /kjk dh fn'kk esa 20 fdehWhat is the speed of the stream if it travels

ja
vkSj /kjk dh foijhr fn'kk esa 12 fdeh dh nwjh r; at a uniform speed?
R s
dj ldrh gSA /kjk dh fn'kk esa tkrs le; uko dh ,d ukSdk 8 ?kaVs esa /kjk dh foijhr fn'kk25esa
km
a th
pky (fdeh@?kaVk esa) Kkr djsaA vkSj /kjk dh fn'kk esa
39 km pyrh gSA ;g 11 ?kaVs
SSC CHSL 15/08/2021 (Shift- 01) esa /kjk dh foijhr fn'kk esa
35 km vkSj /kjk dh
(a) 16 (b) 15 fn'kk esa52 km dh nwjh r; djrh gSA ;fn ;g ,d
ty a

(c) 20 (d) 18
24. The speed of a boat downstream is 150% more
leku pky ls ;k=kk djrh gS] rks /kjk dh pky crkb,A
than its speed upstream. If the time taken SSC CGL 12/12/2022 (Shift- 01)
di M

by the boat for going 80 km downstream and

(a) 4 km/h (b) 5 km/h
50 km upstream is 8.2 hours,then what is
speed (in km/h) of theboat downstream ? (c) 6 km/h (d) 3 km/h
/kjk dh fn'kk esa] fdlh uko dh pky /kjk dh foijhr 28. A boat covers a certain distance against the
fn'kk dh bldh pky ls 150» vf/d gSA ;fn /kjk stream in 9 hours 36 min and it covers the
dh fn'kk esa 80 fdeh vkSj /kjk dh foijhr fn'kk esa same distance along the stream in 6 hours.
50 fdeh dh nwjh r; djus esa yxk le; 8-2 ?kaVk What is the ratio of the speed of the boat in
gS] rks /kjk dh fn'kk esa uko dhpky (fdeh@?kaVkstill water to that of the stream?
esa) Kkr dhft,A ,d uko /kjk dh foijhr fn'kk esa] ,d fuf'pr nwjh
SSC CHSL 12/08/2021 (Shift- 01)
dks 9 ?kaVs 36 feuV eas r; djrh gSA vkSj ;g /kjk dh
(a) 16 (b) 30
fn'kk esa leku nwjh dks 6 ?kaVs esa r; djrh gSA fL
A

(c) 24 (d) 25
25. A person rows upstream a distance of 55 km ty esa uko dh pky vkSj /kjk dh pky dk vuqikr
in 5 hours and rows downstream a distance of D;k gksxk\
75 km in 3 hours. How much time will he take SSC CGL 12/12/2022 (Shift- 02)
to travel a distance of 96 km in still wates ?
dksbZ ;fDr /kjk dh foijhr fn'kk esa 55 fdeh dh nwjh (a) 13 : 3 (b) 9 : 2

5 ?kaVs esa r; djrk gS vkSj /kjk dh fn'kk esa 75 fdeh (c) 11 : 6 (d) 8 : 5
dh nwjh 3 ?kaVs esa r; djrk gSA mls fLFkj ty 29. esa 96
A boat can go 40 km downstream and 25 km
fdeh dh nwjh r; djus esa fdruk le; yxsxk\ upstream in 7 hours 30 minutes. It can go48
km downstream and 36 km upstream in 10
SSC CHSL 16/04/2021 (Shift- 01)
hours. What is the speed (in km/h) of theboat
(a) 4 hours 40 min (b) 5 hours 20 min
in still water?
(c) 6 hours 10 min (d) 5 hours 45 min.

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,d uko 7 ?kaVs 30 feuV esa 40 fdeh /kjk dh fn'kk 33.

esa A swimmer swims from a point P against the
vkSj 25 fdeh /kjk dh foijhr fn'kk esa tk ldrh gSA current for 6 min and then swims back along
the current for next 6 min and reaches at a
;g 10 ?kaVs esa 48 fdeh /kjk dh fn'kk esa vkSj 36 point Q. If the distance between P and Q is 120
fdeh /kjk dh foijhr fn'kk esa tk ldrh gSA 'kkar ty m then the speed of the current (in km/h) is:
esa uko dh pky (fdeh@?kaVk esa) fdruh gksxh\ ,d rSjkd ,d fcUnq P ls /kjk ds foijhr 6 feuV rd
SSC CPO 09/11/2022 (Shift-03) rSjrk gS vkSj fiQj vxys 6 feuV ds fy, /kjk ds lkFk rSjrk
(a) 6 (b) 12 gS vkSj ,d fcUnq
Q ij igq¡prk gSA ;fnP vkSjQ ds chp
(c) 9 (d) 15 d h nwjh
120 m gS] rks /kjk dh pky(km/h esa ) gSA
30. A boat covers a round trip journey between
SSC CGL 01/12/2022 (Shift- 03)
two points A and B in a river in T hours. If (a) 0.4 (b) 0.2
its speed in still water becomes 2 times, it (c) 1 (d) 0.6
80 34. A boat can go 2.4 km upstream in 16 minutes.
would take T hours for the same journey. The ratio of the speed of the boat in still water
161
to the speed of the stream is 8 : 3. How much

r
Find the ratio of its speed in still water to
the speed of the river time (in hours) will the boat take to go 21.6

si
dksbZ uko fdlh unh esa nks fcUnqvksa
A vkSj B ds chp km in still water and 33 km downstream?
,d uko /kjk ds foijhr 2.4 km dh nwjh16 feuV
jkmaM&fVªi ;k=kk okyh nwjh T ?kaVs
dks esa r; djrhgSA
esa r; dj ldrh gSA fLFkj ty esa uko dh pky vkSj

an by
;fn fLFkj ty esa bldh pky nqxquh gks tkrh gS]
blsrks èkkjk dh pky dk vuqikr8 : 3 gSA uko dks fLFkj ty
esa21.6 km vkSj /kjk dh fn'kk esa
33 km tkus esa

n
80
mlh nwjh dks r; djus esa T ?kaVs yxsaxsA fLFkj ty fdruk le; (?kaVksa esa) yxsxk\
161

ja
esa bldh pky dk] unh dh pky ls vuqikr Kkr djsaA ICAR Assistant 29/07/2022 (Shift- 03)
R s 5 19
SSC CGL 23/08/2021 (Shift- 01) (a) (b)
2 6
a th
(a) 11 : 1 (b) 161 : 40
(c) 1 : 11 (d) 2 : 1 17 13
31. A boat takes 20 hours for travelling (c) (d)
6 6
downstream from point A to point B and
35. A boat covers a certain distance upstream in
comes back to a midpoint C between A and
ty a

B. The speed of the stream is 5 km/h and 45 hours. It covers the same distance
the speed of the boat in still water is 10 km/ downstream in 36 hours. If the speed of boat
di M

h. Find the distance between A and B (in km). is 36 km/hr. Find the difference between
,d uko fcanqA ls fcanqB rd /kjk ds vuqdwy ;k=kk speed of boat in still water and the speed of
djus rFkkA vkSj B ds chp fLFkr ,d eè; fcanq C stream?
ij okil vkus esa 20 ?kaVs dk le; ysrh gSA /kjk dh ,d uko /kjk ds çfrdwy 45 ?kaVs esa ,d fuf'pr nwjh
pky 5 fdeh@?kaVk gS vkSj fLFkj ty esa uko dh pkyrd ;k=kk djrh gSA ;g /kjk ds vuqdwy 36 ?kaVs es
10 fdeh@?kaVkAgSA vkSj B ds chp dh nwjh (fdeh leku nwjh dh ;k=kk djrh gSA ;fn uko dh xfr 36
esa) Kkr dhft,A fdeh@?kaVk gSA 'kkarty esa uko dh xfr vkSj /kjk d
SSC MTS 01/09/2023 (Shift-01) xfr ds chp varj Kkr dhft;sA
(a) 100 (b) 150
(a) 30 km/hr (b) 32 km/hr
(c) 75 (d) 120
(c) 36 km/hr (d) 48 km/hr
1
32. A boat can go 5 km upstream 7 km 36. A man rows to a place 35 km in distance and
A

2 comes back in 10 hours ”30 minutes. He found

downstream in 45 2 minutes. It can also go
5 km downstream and 2.5km upstream in 25 that he could row 5 km with the stream in
minutes. How much time (in minutes) will the same time as he can row 4 km against
it take to go 6 km upstream ? the stream. Find the rate of flow of the stream.
1 ,d vkneh uko }kjk 35 fdeh dh nwjh tkus vkSj vkus
,d uko 5 fdeh ÅèoZizokg vkSj 7 fdeh vuqizokg esa 10 ?kaVs 30 feuV dk le; ysrh gSA mlus ik;k fd
2
45 feuV esa tk ldrh gSA og 25 feuV esa 5 fdeh vuqizokg og /kjk ds çfrdwy 4 fdeh dh nwjh r; djus dh
vkSj 2-5 fdeh ÅèoZizokg ij Hkh tk ldrh gSA 6 fdeh rqyuk esa leku le; esa /kjk ds vuqdwy 5 fdeh dh
ÅèoZizokg tkus esa fdruk le; (feuVksa esa) yxsxk\ nwjh r; djrk gSA /kjk ds çokg dh nj Kkr dhft,A
SSC CGL TIER-II (18/11/2020)
(a) 30 (b) 24 (a) 1 km/hrs (b) 0.5 km/hrs
(c) 36 (d) 32 (c) 0.75 km/hrs (d) 1.5 km/hrs

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37. A boat has to travel a distance of 12 km 41. A man travels by a motor boat down a river
starting from point P to point Q. It covers 8 to his office and back. With the speed of the
km downstream from point P in 20 min and river unchanged, if he doubles the speed of
remaining 4 km upstream to reach the point his motor boat, then his total travel time gets
Q. If the downstream speed was twice the reduced by 75%. The ratio of the original
upstream speed, what is the average speed speed of the motor boat to the speed of the
of boat throughout the journey? river is:
,d uko fcanqP ls 'kq: djrs gq, fcanqQ rd 12 fdeh ,d vkneh ,d eksVj cksV }kjk ,d unh ds ekè?;e ls
dh nwjh r; djrh gSA ;g 20 feuV esa fcanq
P ls 8 fdeh vius dk;kZy; tkrk vkSj okil vkrk gSA unh dh xfr
/kjk ds vuqdwy r; djrh gS vkSj fcanq
Q rd igqapus ds vifjofrZr gksus ds lkFk] ;fn og viuh eksVj cksV dh
fy, 'ks"k 4 fdeh /kjk ds çfrdwy r; djrh gSA ;fn / xfr dks nksxquk dj nsrk gS] rks mldh dqy ;k=kk dk
kjk ds vuqdwy xfr /kjk ds çfrdwy xfr ls nksxquh Fkh] le; 75» de gks tkrk gSA eksVj cksV dh ewy xfr dk
rks lexz ;k=kk esa uko dh vkSlr xfr D;k gS\ unh dh xfr ls vuqikr Kkr djsaA
(a) 16 km/hrs (b) 15 km/hrs (a) 6 : 2 (b) 7 : 2

r
(c) 18 km/hrs (d) 20 km/hrs
(c) 25 : 3 (d) 3 : 2
38. The ratio of speed of motorboat to that of

si
current water is 13 : 4. If boat takes 4hr 32 42. A fisherman can row his boat to the market
min against the current, it will come back in for 80 km along the stream. For this he takes

an by
1 hour 20 minutes. His son says that, his
eksVjcksV dh xfr dk] /kjk dh xfr ls vuqikr 13% 4
father’s rowing speed in still water is 45 km/
gSA ;fn uko dks /kjk ds çfrdwy ;k=kk djus esa 4 ?kaVs
hr. How much time should he take to row the

n
32 feuV dk le; yxrk gS] rks bls okil ykSVus esa same distance back, against the stream?
fdruk le; yxsxk\ ,d eNqvkjk viuh uko }kjk /kjk ds vuqdwy 80 fdeh

ja
(a) 2hr 24min (b) 2hr 28min
R s dh nwjh r; djds cktkj rd igqapk ldrk gSA blds
(c) 2hr 58min (d) 3hr 16min
fy, mls 1 ?kaVs 20 feuV dk le; yxrk gSA mlds iq=k
a th
39. A boat sails downstream from point A to point
B, which is 20 km away from A, and then dk dguk gS fd] 'kkarty esa mlds firk dh uko •sus
returns to A. If the actual speed of boat (in dh nj 45 fdeh@?kaVk gSA okil ykSVrs ds fy,] /kjk ds
still water) is 3 km/hr then the trip from A
çfrdwy leku nwjh r; djus ds fy, mls fdruk le;
ty a

to B takes 16 hrs less than that from B to A.

What must be the speed of the boat for the yxuk pkfg,\
trip to take exactly 80 minutes in travelling (a) 2 hrs 30 min (b) 2 hrs 40 min
di M

from A to B. (c) 3 hrs 10 min (d) 4 hrs

,d uko fcanqA ls fcanqB rd /kjk ds vuqdwy tkrh 43. Amit can row a boat d km upstream and the
gS] tksA ls 20 fdeh nwj gS vkSj fiQjA ij okil same distance downstream in 5 hours 15
ykSVrh gSA ;fn uko dh okLrfod xfr (fLFkj ikuh esa) minutes. Also, he can row the boat 2d km
3 fdeh@?kaVk gSB ls
rksA dh ;k=kk dh rqyuk esa
A ls upstream in 7 hours. How long will it take
B dh ;k=kk esa 16 ?kaVs de yxrs A gSaA
ls B rd dh to row the same distance 2d km downstream
for Amit?
;k=kk 80 feuV es r; djus ds fy, uko dh pky D;k
gksuh pkfg, \ vfer 5 ?kaVs 15 feuV esa ,d uko }kjk /kjk ds çfrdwy
(a) 12 km/hr (b) 13 km/hr o fdeh dh nwjh vkSj /kjk ds vuqdwy leku nwjh r;
(c) 10 km/hr (d) 9 km/hr dj ldrk gSA blds vykok] og uko }kjk 7 ?kaVs esa
40. A boat went downstream for 160 km and èkkjk ds çfrdwyd2fdeh dh ;k=kk dj ldrk gSA vfer
A

returned immediately. It took the boat 20 hr.

to complete the round trip. If the speed of
dks /kjk ds vuqdwyd 2fdeh dh leku nwjh r; djus
the river were twice as high, the trip to esa fdruk le; yxsxk\
downstream and back would take 32 hours. (a) 3 hrs 15 min (b) 3 hrs 30 min
What is the speed of boat in still water? (c) 4 hrs 12 min (d) 4 hrs 10 min
,d uko 160 fdeh rd /kjk ds vuqdwy tkrh gS vkSj 44. A man went downstream for 28 km in a motor
rqjar okil ykSVrh gSA uko dks jkmaM fVªi iwjh djusboat
esa and immediately returned. It took the
20 ?kaVs yxrs gSaA ;fn unh dh xfr nksxquh gksrh] manrks twice as long to make the return trip.
èkkjk ds vuqdwy vkSj /kjk ds çfrdwy ;k=kk esa 32 ?kaVs
If the speed of the river flow were twice as
yxrsA fLFkj ikuh esa uko dh xfr D;k gS\ high, the trip downstream and back would take
(a) 15 km/hr (b) 16 km/hr 672 minutes. Find the speed of the boat in
(c) 14 km/hr (d) 18 km/hr still water and the speed of the river flow.

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,d O;fÙkQ eksVj cksV esa 28 fdeh rd /kjk ds vuqdwy

45. A boat takes 38 hours for travelling
downstream from point A to point B and
;k=kk djrk gS vkSj rqjar okil ykSV vkrk gSA okilhcoming back to point C midway between A and
;k=kk ds fy, O;fÙkQ dks nksxq.k le; yxkA ;fn unh ds B. If the velocity of the stream is 4 kmph and
çokg dh xfr nks xquk vf/d gksrh] rks /kjk ds vuqdwy the speed of the boat in still water is 14 kmph,
tkus vkSj okil ykSVus esa 672 feuV dk le; yxrkA what is the distance between A and B?
,d uko 38 ?kaVs esa fcanq
A ls fcanqB rd /kjk ds
'kkarty esa uko dh xfr vkSj unh ds çokg dh xfr
vuqdwy ;k=kk djrh gS vkSj
A vkSj B ds chp fcanqC
Kkr dhft;sA
ij okil ykSVrh gSA ;fn /kjk dh xfr 4 fdeh çfr
(a) 8 km/hr, 2 km/hr
?kaVk gS vkSj 'kkarty esa uko dh xfr 14 fdeh çfr ?kaV
(b) 9 km/hr, 6 km/hr
(c) 12 km/hr, 3 km/hr gS] rks
A vkSjB ds eè; nwjh D;k gS\
(d) 9 km/hr, 3 km/hr (a) 120 km (b) 180 km
(c) 240 km (d) 360 km

r
ANSWER KEY

si
1.(b) 2.(b) 3.(a) 4.(b) 5.(d) 6.(c) 7.(b) 8.(d) 9.(c) 10.(c)

an by
11.(b) 12.(a) 13.(d) 14.(c) 15.(c) 16.(b) 17.(c) 18.(a) 19.(d) 20.(d)

n
ja
21.(c) 22.(a) 23.(b) 24.(d) 25.(b) 26.(c) 27.(a) 28.(a) 29.(c) 30.(a)
R s
a th
31.(d) 32.(c) 33.(d) 34.(b) 35.(b) 36.(c) 37.(c) 38.(a) 39.(b) 40.(d)

41.(b) 42.(b) 43.(b) 44.(d) 45.(d)

ty a
di M
A

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Alligation
( Practice Sheet With Solution)
1. In a class, the average weight of boys is 70 kg 5.The average weight of boys in a class is 30 kg
and average weight of girls is 60 kg If average and the average weight of girls in the same
weight of the whole class is 64 kg Find the class is 20kg. If the average weight of the
ratio of boys and girls. whole class is 23.25 kg, what could be the
,d d{kk esa yM+dksa dk vkSlr Hkkj 70 fdxzk rFkk yM+fd;ksa
possible strength of boys and girls respectively
in the same class?
dk vkSlr Hkkj 60 fdxzk gS ;fn iwjh d{kk dk vkSlr Hkkj
64 fdxzk gS rks yM+dksa rFkk yM+fd;ksa dk vkSlr Hkkj ,d d{kk
Kkr esa yM+dksa dk vkSlr Hkkj 30 fdxzk gS vkSj m
dhft,A d{kk esa yM+fd;ksa dk vkSlr Hkkj 20 fdxzk gSA ;fn
d{kk dk vkSlr Hkkj 23-25 fdxzk gS] rks leku d{kk es

r
(a) 2 : 3 (b) 3 : 2
Øe'k% yM+dksa vkSj yM+fd;ksa dh laHkkfor la[;k fdru

si
(c) 4 : 5 (d) 5 : 4
2. The ratio of the quantities of sugar, in which
ldrh gS\
an by
sugar costing Rs 20 per kg and Rs 15 per kg
in what ratio be mixed so that there will be
(a) 14 and 16
(c) 17 and 27
(b) 13 and 27
(d) None of these

n
neither loss nor gain on selling the mixed sugar
6. The ratio of water and alcohol in two different
at the rate of Rs 16 per kg is.
containers is 2 : 3 and 4 : 5. In what ratio we
phuh dh ek=kk dk vuqikr ftlesa 20 # çfr fdxzk phuh
ja are required to mix the mixtures of two
R s
vkSj 15 # çfr fdxzk dh phuh fdl vuqikr esa feykbZ tk, containers in order to get the new mixture in
rkfd fefJr phuh dks 16 # çfr fdxzk dh nj ls cspus which the ratio of alcohol and water be 7 : 5?
a th

ij u rks gkfu gks vkSj u gh ykHk gksA nks vyx&vyx daVsujksa esa ikuh vkSj vYdksgy dk vuqi
(a) 2 : 1 (b) 1 : 2 2 % 3 vkSj 4 % 5 gSA u, feJ.k dks çkIr djus ds fy,
gesa fdl vuqikr esa nks daVsujksa ds feJ.k dks feykuk
ty a

(c) 4 : 1 (d) 1 : 4
3. A merchant has 1000 kg of sugar part of which ftlesa vYdksgy vkSj ikuh dk vuqikr 7 % 5 gS\
di M

he sells at 8% profit and the rest at 18% profit. (a) 7 : 3 (b) 5 : 3

He gains 14% on the whole. The Quantity sold (c) 8 : 5 (d) 2 : 7
at 18% profit is.
7. In a class of 5 students, average weight of the
,d O;kikjh ds ikl 1000 fdxzk phuh gS ftlesa ls og 8» 4 lightest students is 40 kgs, Average weight
ykHk ij vkSj 'ks"k 18» ykHk ij csprk gSA mls iwjs ij 14»of the 4 heaviest students is 45 kgs. What is
dk ykHk gksrk gSA 18» ykHk ij csph xbZ ek=kk gSA the difference between the the maximum and
minimum possible average weight overall?
(a) 400 kg. (b) 560 kg.
(c) 600 kg. (d) 640 kg. 5 Nk=kksa dh ,d d{kk esa] 4 lcls gYds Nk=kksa dk vk
4. How many kilograms of sugar costing Rs 9 per otu 40 fdyksxzke gS] 4 lcls Hkkjh Nk=kksa dk vkSlr otu
kg must be mixed with 27 kg of sugar costing 45 fdyksxzke gSA dqy feykdj vf/dre vkSj U;wure laHko
Rs 7 per Kg so that there may be a gain of 10% vkSlr otu ds chp dk varj D;k gS\
A

by selling the mixture at Rs 9.24 per Kg?

(a) 2.8 kg. (b) 3.2 kg.
9 #i;s çfr fdyksxzke dh ykxr okyh fdrus fdyksxzke (c) 3 kg. (d) 4 kg.
phuh dks 7 #i;s çfr fdyksxzke dh ykxr okyh 27 fdyksxzke
8. Class A has boys to girls in the ratio 2 : 3,
phuh ds lkFk feyk;k tkuk pkfg, rkfd feJ.k dks 9-24 Class B has girls to boys in the ratio 5 : 3. If
#i;s çfr fdyksxzke dh nj ls cspus ij 10» dk ykHk gks the number of students in Class A is at least
lds\ twice as many as the number of students in
Class B, what is the minimum percentage of
(a) 36 kg. (b) 42 kg.
boys when both classes are considered
(c) 54 kg. (d) 63 kg. together?

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d{kkA esa yM+dksa dk yM+fd;ksa ls vuqikr 2% 3 gS] d{kk 15 #i;s@yhVj dh ykxr okys dksd dkWUlsaVªsV esa ikuh
B esa yM+fd;ksa dk yM+dksa ls vuqikr 5 % 3 gSA ;fn d{kkvuqikr esa feyk;k tkuk pkfg, rkfd ifj.kkeh is; dks 18
esa Nk=kksa dh la[;k ls de ls #i;s@yhVj ij cspdj 30» dk ykHk çkIr fd;k tk lds\
A esa Nk=kksa dh la[;kBd{kk
de nksxquh gS] rks D;k yM+dksa dk U;wure çfr'kr D;k(a)gS 12 : 1 (b) 11 : 1
(c) 1 : 10 (d) 1 : 12
tc nksuksa oxks± dks ,d lkFk ekuk tkrk gS\ 13. In Kaziranga national park, the residents are
(a) 33.33% (b) 40% either Hippopotamus or Peacocks. When the
(c) 39.17% (d) 37.5% heads are counted, it comes out to be 96 and
when the legs are counted it is 336 in number.
9. School X has 3 classes, A, B and C. The average Find the number of peacocks in the park.
score of Class B is 16 more than the average
dkthjaxk jk"Vªh; m|ku esa] fuoklh ;k rks nfj;kbZ ?kksM
score of class C. The strengths of Classes A, B
and C are in the ratio 2:3:5, respectively. If the eksj gSaA fljksa dks fxuus ij 96 vkSj iSjksa dks fxuus ij
average score of the school 2 less than the fudyrs gSaA ikdZ esa eksjksa dh la[;k Kkr dhft,A
average score of Class A, Find the difference (a) 72 (b) 24
between average of class A and class C. (c) 48 (d) 80
14. A mixture contains lemon juice and sugar
LdwyX esa 3 d{kk,a gSa]
A] B vkSjC d{kk B dk vkSlr

r
syrup in equal proportion. If a new mixture is
Ldksj d{kk C ds vkSlr Ldksj ls 16 vf/d gSA d{kkA] created by adding this mixture and sugar syrup

si
B vkSj C dh rkdr Øe'k% 2 % 3 % 5 ds vuqikr esa gSA in the ratio 1 : 3, then the ratio of lemon juice
and sugar syrup in the new mixture is?
;fn fo|ky; dk vkSlr çkIrkad d{kk A ds vkSlr çkIrkad
an by ,d feJ.k esa uhacw dk jl vkSj phuh dh pk'kuh leku
ls 2 de gS] rks d{kkA vkSj d{kkC ds vkSlr dk varj
vuqikr esa gSA ;fn bl feJ.k vkSj phuh dh pk'kuh dks
Kkr dhft,A

n
1 % 3 ds vuqikr esa feykdj ,d u;k feJ.k cuk;k tkrk
(a) 7.5 (b) 8.5 gS] rks u, feJ.k esa uhacw ds jl vkSj phuh dh pk'kuh dk
(c) 9 ja (d) 8 vuqikr fdruk gS\
R s
10. 6 kg of Rs 8/kg wheat is mixed with 3 kg of (a) 1 : 6 (b) 1 : 4
a th

another type of wheat to get a mixture costing (c) 1 : 5 (d) 1 : 7

Rs 10/kg. Find the price of the costlier wheat. 15. In what ratio should two varieties of tea, one
costing at Rs 27 per kg and the other costing
10 #i;s@fdxzk dh ykxr okyk feJ.k çkIr djus ds fy, Rs 32 per kg be mixed to produce a mixture
6 fdxzk 8 #i;s@fdxzk xsgwa dks 3 fdxzk vU; çdkj ds xsagw
ty a

of tea worth Rs 30 per kg? How much should

ds lkFk feyk;k tkrk gSA eagxs xsgwa dh dher Kkr dhft,A be the quantity of second variety of tea, if the
di M

first variety is 60 kg?

(a) Rs. 12/kg. (b) Rs. 14/kg.
fdl vuqikr esa pk; dh nks fdLesa] ,d dh dher 27
(c) Rs. 16/kg. (d) Rs. 6/kg.
#i;s çfr fdyks vkSj nwljh dh dher 32 #i;s çfr fdyks
11. Ram borrows Rs 4000 on simple interest from
gS] dks feykdj 30 #i;s çfr fdyks dh pk; dk feJ.k
Shyam for a period of 4 years. He borrows a
portion of amount at 2% interest and the rS;kj fd;k tk,\ nwljh fdLe dh pk; dh ek=kk fdruh
remaining at 5%. If the interest Shyam earns gksuh pkfg,] ;fn igyh fdLe 60 fdxzk gS\
is Rs 480, How much money did Ram borrow (a) 90 (b) 45
at 2% interest rate? (c) 30 (d) 60
16. Avinash covered 150 km distance in 10 hours.
jke 4 lky dh vof/ ds fy, ';ke ls lk/kj.k C;kt ij The first part of journey he covered by car,
4000 #i;s m/kj ysrk gSA og jkf'k dk ,d Hkkx 2» C;kt ij then he hired a ricksaw. The speed of car and
vkSj 'ks"k 5» ij m/kj ysrk gSA ;fn ';ke vftZr C;kt 480 rickshaw is 20 km/hr and 12 km/hr
A

#i;s gS] rks jke us 2» C;kt nj ij fdruk iSlk m/kj fy;k\ respectively. The ratio of distances covered by
car and the rickshaw respectively are:
4000 8000 vfouk'k us 10 ?kaVs esa 150 fdeh dh nwjh r; dhA ;k=kk d
(a)
3
(b)
3 igyk Hkkx mUgksaus dkj ls r; fd;k] fiQj mUgksaus ,d fjD
(c) 3000 (d) 2000
fdjk, ij fy;kA dkj vkSj fjD'kk dh xfr Øe'k% 20
fdeh@?kaVk vkSj 12 fdeh@?kaVk gSA dkj vkSj fjD'kk }
12. What is the ratio in which water should be
mixed with a coke concentrate costing Rs 15/ dh xbZ nwfj;ksa dk vuqikr Øe'k% gS%
litre to make a profit of 30% by selling the (a) 2 : 3 (b) 4 : 5
resultant drink at Rs 18/litre? (c) 1 : 1 (d) None of these

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17. Sharabi purchased two different kinds of nks çdkj ds ihry esa] dkWij ls ftad dk vuqikr Øe'k%
alcohol. In the first mixture the ratio of 8 % 3 vkSj 15 % 7 gSA ;fn nks çdkj ds ihry dks fi?kykdj
alcohol to water is 3 : 4 and in the second
5 % 2 ds vuqikr esa feyk;k tk, rks ,d u, çdkj dk
mixture it is 5 : 6. If he mixes the two given
mixture and makes a third mixture of 18 liters in ihry çkIr gksrk gSA bl u, çdkj ds ihry esa dkWij vkSj
which the ratio of alcohol to water is 4 : 5 the ftad dk vuqikr gSA
quantity of first mixture (whose ratio is 3 : 4) is (a) 3 : 2 (b) 2 : 3
required to make the 18 liters of the third kind
(c) 3 : 4 (d) 5 : 2
of mixture is:
21. In what ratio should coffee powder costing Rs
'kjkch us nks vyx&vyx rjg dh 'kjkc •jhnhA igys feJ.k 2500/kg be mixed with coffee powder costing
esa vYdksgy dk ikuh ls vuqikr 3 % 4 gS vkSj nwljs feJ.k Rs 1500/kg so that the cost of the mixture is
esa ;g 5 % 6 gSA ;fn og fn, x, nksuksa feJ.kksa dks feykdj Rs 2250/kg?
18 yhVj dk rhljk feJ.k cukrk gS ftlesa vYdksgy dk 2500 #i;s@fdxzk dh dher okys dkWiQh ikmMj dks 150
ikuh ls vuqikr 4 % 5 gS rhljs çdkj ds feJ.k ds 18 #i;s@fdxzk dh dher okys dkWiQh ikmMj ds lkFk fdl vuqikr
yhVj dks cukus ds fy, igys feJ.k dh ek=kk (ftldk esa feyk;k tkuk pkfg, rkfd feJ.k dh dher 2250

r
vuqikr 3 % 4 gS) dh vko';drk gS% #i;s@fdxzk gks tk,\

si
(a) 6 (b) 7 (a) 1 : 4 (b) 4 : 1
(c) 8 (d) 9
18.
an by
In a mixture, water and milk are in the ratio
of 3 : 5. In the second mixture, the ratio of
(c) 3 : 1 (d) 1 : 3
22. An alloy is made by mixing metal A costing Rs

n
2000/kg and metal B costing Rs. 400/kg in the
water and milk is 9 : 11. If these two mixtures ratio A : B = 3 : 1. What is the cost (in Rs) of 8
be mixed to form anew mixture in which water
ja kilograms of this alloy?
R s
and milk are in ratio 5 : 7, then what is the
ratio of these two mixtures in the new 2000 #i;s çfr fdxzk dh ykxr okyh /krqA vkSj 200
#i;s dh ykxr okyh /krq B dks feykdj ,d feJ/krq
a th

mixture?
,d feJ.k esa ikuh vkSj nw/ dk vuqikr 3 % 5 gSA nwljs cukbZ tkrh gSA
A % B ¾ 3 % 1 ds vuqikr esa 400@fdxzkA
feJ.k esa ikuh vkSj nw/ dk vuqikr 9 % 11 gSA ;fn bu bl feJ/krq dh 8 fdyksxzke dh dher (#i;s esa) D;k gS\
ty a

nksuksa feJ.kksa dks feykdj ,d u;k feJ.k cuk;k tk, ftlesa (a) 1600 (b) 9800
ikuh vkSj nw/ dk vuqikr gks 5 % 7 gS] rks u, feJ.k esa (c) 6400 (d) 12800
di M

bu nksuksa feJ.kksa dk vuqikr D;k gS\ 23. If a dairy mixes cow’s milk which contains 10%
(a) 1 : 2 (b) 3 : 2 fat with buffalo’s milk which contains 20% fat,
(c) 4 : 5 (d) 4 : 7 120 
then the resulting mixture has fat 
  % of

19. A milk merchant buys 50 litres of milk at the  7 
rate of Rs 40 per litre and mixes 5 litres of fat. What ratio was the cow’s milk mixed with
water in it. If he sells this mixture at the rate buffalo’s milk?
of Rs 42 per litre, then what is the profit ;fn ,d Ms;jh xk; ds nw/ esa 10» olk okys HkSal ds nw/
percentage for the dealer?
ds lkFk feykrh gS ftlesa 20» olk gksrk gS] rks ifj.kkeh
,d nw/ O;kikjh 40 #i;s çfr yhVj dh nj ls 50 yhVj
120 
nw/ •jhnrk gS vkSj mlesa 5 yhVj ikuh feykrk gSA ;fn og feJ.k esa olk dk   % Hkkx gksrk gSA xk; ds nw/

A

 7 
bl feJ.k dks 42 #i;s çfr yhVj dh nj ls csprk gS] rks
Mhyj ds fy, ykHk çfr'kr D;k gS\ dks HkSal ds nw/ esa fdl vuqikr esa feyk;k x;k Fkk\
(a) 17.2 (b) 14.4 (a) 2 : 5 (b) 1 : 5
(c) 16.6 (d) 15.5 (c) 2 : 3 (d) 2 : 1
20. In two types of brass, the ratios of Copper to 24. The milk and water in two vessels are in the
Zinc are 8 : 3 and 15 : 7 respectively. If the two ratio of 3 : 1 and 7 : 11 respectively. In what
types of brass be melted and mixed in the ratio ratio should the liquid in both the vessels be
5 : 2 a new type of brass is obtained. The ratio mixed to obtaina new mixture containing half
of Copper to Zinc in this new type of brass is. milk and half water?

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nks crZuksa esa nw/ vkSj ikuh Øe'k% 3 % 1 vkSj 729. % 11

Howds many kilograms of rice of Rs 5.4 per kg
vuqikr esa gSaA vk/k nw/ vkSj vk/k ikuh okyk ,d u;k should be mixed with 10kg of rice of Rs 4.5
per kg, such that there may be gain of 20% by
feJ.k çkIr djus ds fy, nksuksa crZuksa esa rjy dks fdl selling the mixture at Rs 5.94 per kg.
vuqikr esa feyk;k tkuk pkfg,\ 5-4 #i;s çfr fdyksxzke ds fdrus fdyksxzke pkoy dks 4-5
(a) 5 : 7 (b) 4 : 9 #i;s çfr fdyksxzke ds 10 fdyksxzke pkoy ds lkFk feyk;k
(c) 1 : 1 (d) 4 : 7 tkuk pkfg,] rkfd feJ.k dks 5-94 #i;s çfr fdyksxzke ds
25. In what ratio must two kinds of sugar at Rs fglkc ls cspus ij 20» dk ykHk gksA
1.15 and Rs 1.24 per kg be mixed so that by (a) 10 (b) 12
selling at Rs 1.50 per kg, 25% may be gained?
(c) 15 (d) 8
1-15 #i;s vkSj 1-24 #i;s çfr fdyksxzke dh nj ls nks30. In the Mumbai zoo, there are some ducks and
çdkj dh phuh dks fdl vuqikr esa feyk;k tkuk pkfg, some rabbits. If the head are counted there are
rkfd 1-50 #i;s çfr fdyksxzke dh nj ls cspus ij 25» 160, while the legs are 450. What will be
numbers of Rabbit in the zoo?
ykHk gks lds\
eqacbZ ds fpfM+;k?kj esa dqN cÙk• vkSj dqN •jxks'k gS
(a) 4 : 5 (b) 5 : 4
flj fxus tk,¡ rks 160 vkSj iSj 450 gSaA fpfM+;k?kj esa •jxk

r
(c) 1 : 1 (d) 2 : 3
dh la[;k fdruh gksxh\

si
26. An alloy of copper and nickel contains 65%
copper. A second alloy contains copper and (a) 65 (b) 60
(c) 95 (d) 85
an by
nickel in the ratio 17 : 3. In what ratio should
the two alloys be mixed so that the new
mixture contains 4 times as much copper as
31. A jar full of whiskey contains 40% alcohol. A
part of this whisky is replaced by another

n
nickel? containing 19% alcohol and now the
dkWij vkSj fudy dh ,d feJ/krq esa 65» dkWij gSA
ja ,d percentage of alcohol was found to be 26%.
The quantity of whisky replaced is.
R s
nwljh feJ/krq esa dkWij vkSj fudsy dk vuqikr 17 % 3 gSA
fOgLdh ls Hkjs ,d tkj esa 40» vYdksgy gSA bl fOgLdh
nksuksa feJ/krqvksa dks fdl vuqikr esa feyk;k tk, fd u, ds ,d fgLls dks 19» vYdksgy okys nwljs ls cny fn;k
a th

feJ.k esa fudy dh rqyuk esa 4 xquk vf/d dkWij gks\ tkrk gS vkSj vc vYdksgy dk çfr'kr 26» ik;k x;kA
(a) 4 : 5 (b) 5 : 4 çfrLFkkfir fOgLdh dh ek=kk gSA
(c) 1 : 3 (d) 2 : 3
ty a

4 3
27. How many kg of custard powder costing Rs 42 (a) (b)
3 4
per kg must be mixed with 16 kg of custard
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powder costing Rs 60 per kg so that 20 % may 2 2

(c) (d)
be gained by selling the mixture at Rs 60 per kg? 3 4
32.
42 #i;s çfr fdyksxzke dh ykxr okys fdrus fdyksxzke A sum of Rs 390 was divided among 450 boys
and girls. Each girl gets 50 paise and each boy
dLVMZ ikmMj dks 60 #i;s çfr fdyksxzke dh ykxr okys gets one rupee. How many girls are there
16 fdyksxzke dLVMZ ikmMj ds lkFk feyk;k tkuk pkfg,among them?
rkfd feJ.k dks 60 #i;s çfr fdyksxzke ds fglkc ls cspdj 390 #i;s dh jkf'k dks 450 yM+ds vkSj yM+fd;ksa esa ck
20» ykHk çkIr fd;k tk lds\ x;kA çR;sd yM+dh dks 50 iSls vkSj çR;sd yM+ds dks ,d
(a) 11 kg. (b) 14 kg. #i;k feyrk gSA muesa ls fdruh yM+fd;ka gSa\
(c) 12 kg. (d) 20 kg. (a) 100 (b) 110
28. A solution of ‘THANDA SHARBAT’ has 15% (c) 120 (d) 130
A

sugar. Another solution has 5% sugar. How 33. A person has 60 pens. He sells some of these
many liters’ of the second solution must be at a profit of 12% and the rest at 8% loss. On
added to the 20L of first solution to make a the whole, he gets a profit of 11%. How many
solution of 10% sugar? pens were sold at 12% profit?
BaMk 'kjcr ds ?kksy esa 15» phuh gSA nwljs ?kksy esa ,d O;fDr
5» ds ikl 60 isu gSaA og buesa ls dqN dks 12» ykHk
phuh gSA 10» phuh dk ?kksy cukus ds fy, igys ?kksy dsij vkSj 'ks"k dks 8» gkfu ij csprk gSA dqy feykdj mls 11»
20 yhVj esa fdrus yhVj nwljs ?kksy dks feyk;k tkuk pkfg,\ dk ykHk gksrk gSA 12» ykHk ij fdrus isu csps x,\
(a) 10 L (b) 5 L (a) 50 (b) 59
(c) 15 L (d) 20 L (c) 57 (d) 60

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34. A dishonest milkman professes to sell his milk 38. The average salary of all the staff in an office
at cost price but he mixes it with water and of a corporate house is Rs 5000. The average
there by gains 25%. Find the percentage of salary of the officers is 14,000 and that of the
water in the mixture is. rest is 4000. If the total number of staff is 500,
,d csbZeku nw/okyk vius nw/ dks ykxr ewY; ij cspus dk the number of officers is:
nkok djrk gS ysfdu og bls ikuh ds lkFk feykdj 25» dk ,d dkWikZsjsV ?kjkus ds dk;kZy; esa lHkh deZpkfj;ksa dk
ykHk çkIr djrk gSA feJ.k esa ikuh dk çfr'kr Kkr dhft,A osru 5000 #i;s gSA vf/dkfj;ksa dk vkSlr osru 14]000
(a) 4% (b) 10% vkSj ckdh dk 4000 gSA ;fn deZpkfj;ksa dh dqy la[;k
(c) 20% (d) 40% 500 gS] rks vf/dkfj;ksa dh la[;k gS%
35. Two vessels A and B contain spirit and water
(a) 10 (b) 20
mixed in the ratio 5 : 2 and 7 : 6 respectively.
Find the ratio in which these mixture be mixed (c) 15 (d) 50
to obtain a new mixture in vessel C containing 39. A can of water and milk mix ture contains 60%
spirit and water in the ratio 8 : 5? milk. A part of this mix ture is replaced by
nks crZuA vkSj B esa fLçV vkSj ikuh dk feJ.k Øe'k% another mix ture containing 50% milk and the
5 % 2 vkSj 7 % 6 ds vuqikr esa gSAC crZu
esa fLçV vkSj percentage of milk was found to be 52%. The

r
quantity of mix ture replaced is:
ikuh dk 8 % 5 ds vuqikr esa u;k feJ.k çkIr djus ds
ikuh vkSj nw/ ds feJ.k ds ,d fMCcs esa 60» nw/ gSA

si
fy, bu feJ.kksa dks fdl vuqikr esa feyk;k tk,\
(a) 4 : 3 (b) 3 : 4 bl feJ.k ds ,d Hkkx dks nwljs feJ.k ls cny fn;k
(c) 5 : 6
an by (d) 7 : 9
36. A milk vendor has 2 cans of milk. The first
tkrk gS ftlesa 50» nw/ gksrk gS vkSj nw/ dk çfr'kr
52» ik;k tkrk gSA çfrLFkkfir feJ.k dh ek=kk gS%

n
contains 25% water and the rest milk. The SSC CGL 13/12/2022 (Shift- 02)
second contains 50% water. How much milk
ja
should he mix from each of the containers so 1 3
R s
(a) (b)
as to get 12 litres of milk such that the ratio 5 5
of water to milk is 3 : 5?
a th

4 2
,d nw/okys ds ikl 2 dSu nw/ gSA igys esa 25» ikuh vkSj (c) 5 (d)
5
ckdh nw/ gSA nwljs esa 50» ikuh gSA mls çR;sd 40.ik=k
Howls many kilogram of rice costing Rs 60 per
fdruk nw/ feykuk pkfg, rkfd 12 yhVj nw/ çkIr gks kg must be mix ed with 24 kg of rice costing
ty a

lds] ftlls ikuh dk nw/ ls vuqikr 3 % 5 gks tk,\ Rs 42 per kg so that there may be a gain of
(a) 4 litres, 8 litres (b) 6 litres, 6 litres 12% by selling the mix ture at Rs 56 per kg.?
di M

(c) 5 litres, 7 litres (d) 7 litres, 5 litres #i;s 60 çfr kg dh ykxr okys fdrus kg pkoy dks
37. A sum of Rs 64 is made up of 80 coins which #i;s 42 çfr kg dh ykxr okys 24 kg pkoy ds lkFk
are either 100 paise or 50 paise coins. How feyk;k tkuk pkfg,] rkfd ifj.kkeh feJ.k dks #i;s 56
many coind are of 50 paise? çfr kg dh nj ls cspus ij 12» dk ykHk gks lds\
64 #i;s dh jkf'k 80 flDdksa ls cuh gS tks ;k rks 100 iSls SSC CGL TIER- II 07/03/2023
;k 50 iSls ds flDds gSaA 50 iSls ds fdrus flDds gSa\ (a) 22 kg (b) 20 kg
(a) 22 (b) 32
(c) 19.2 kg (d) 21.2 kg
(c) 42 (d) 52

Answer Key
A

1.(a) 2.(d) 3.(c) 4.(d) 5.(b) 6.(b) 7.(c) 8.(c) 9.(b) 10.(b)

11.(b) 12.(d) 13.(b) 14.(d) 15.(a) 16.(c) 17.(b) 18.(c) 19.(d) 20.(d)

21.(c) 22.(d) 23.(a) 24.(b) 25.(a) 26.(c) 27.(d) 28.(d) 29.(a) 30.(a)

31.(c) 32.(c) 33.(c) 34.(c) 35.(d) 36.(b) 37.(b) 38.(d) 39.(c) 40.(c)

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SOLUTIONS
1. (a) 3 unit  27
B G 1 unit  9
70 60 7 unit  9 × 7 = 63 kg.
5. (b)
B G
64 30 20

4 : 6 23.25
2 : 3
2. (d)

r
Since, there is neither loss nor gain

si
SP = CP = Rs 16 per kg. 3.25 : 6.75
20 15 13 : 27
an by 6. (b)
LCM (5, 9, 12) = 180

n
16 2
Water in A = × 180 = 72
5
ja
R s
4
Water in B = × 180 = 80
1 : 4 9
a th

3. (c)
8% 18% 7
Water in C = × 180 = 75
12
ty a

72 80
14%
di M

75
4 : 6
2 : 3
3 5 : 3
Qty sold at 18% profit = × 1000 = 3 × 200 =
5 7. (c)
600 kg. Let the weight be a, b, c, d and e where a < b,
4. (d) < c, < d, < e
SP  110%  9.24 a + b + c + d = 40 × 4 = 160
b + c + d + e = 45 × 4 = 180
9.24 For Avg. weight maximum, a should be
CP  100%   100 = 8.4
A

110 maximum which can be 40

9 7 May. avg. weight
a  b  c  d  e 40  180 220
= = = = 44 kg.
5 5 5
8.4 For Avg. weight minimum, e should be
minimum which can be 45 Min. avg. weight
a  b  c  d  e 160  45 205
= = = = 41 kg.
1.4 : 0.6 5 5 5
7 : 3 Diff. = 44 – 41 = 3 kg.

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8. (c) 12. (d)

Class  A Class  B Coke Water 18  10 
B:G  2:3 G:B  5:3 15  13 0  13  13

13 
2 SP  130%  18
% of Boys in class A = × 100 = 40%
5 18
CP  100%   100
3 130
% of Boys in class B = × 100 = 37.5%
8 195 0
40 – x 1
 =  x = 39.17
x – 37.5 2
9. (b)
180
A B C
Strength 2 : 3 : 5

r
Avg. P+2 x +16 x
180 : 15
Let, the schools Avg. be P

si
12 : 1
2(p + 2) + 3 (x + 16) + 5x = 10 × p
Hence water : coke = 1 : 12
8x – 8p = – 52
an by
2p + 4 + 3x + 48 + 5x = 10p
13. (b)
Total heads = 96

n
52 Total legs = 336
p–x = = 6.5
8 96 × 2 = 192 but 336 – 192 = 144 extra legs
ja because of 2 extra legs of hippo
R s
Diff. b/w Avg. of A and C = (p + 2) – x = p – x + 2
= 6.5 + 2 = 8.5
No. of hippo = 144 = 72
a th

10. (b) 2
Let the price of costlier weight be x
No. of peacock = 96 – 72 = 24
68  3 x 14. (d)
= 10
ty a

63 L : S in mixture = 1 : 1
48 + 3x = 10 × 9 Addding in this ratio 1 : 3 Let mixture = 1 unit
di M

48 + 3x = 90 and sugar = 3 unit

3x = 42 1 1
Lemon = 1  0 =
x = 14 2 2
11. (b)
1 1 7
480 Sugar = 1  3 =  3 =
Total interest = × 100 = 12%  for 1 2 2 2
4, 000
year = 3% 1 7
L:S = :  1:7
2 2
I II
15. (a)
2% 5%
27 32
A

3%
30

2 : 1 2 : 3
2 8, 000 ×30 ×30
Ram borrowed at 2% rate =  4, 000 = Rs
60 kg. : 90 kg.
3 3

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16. (c) 19. (d)

D = 150, T = 10 CP = 50 × 40 = Rs. 2,000
SP = (50 + 5) × 42 = 55 × 42 = Rs. 2310
D 150
S= = = 15 km/hr. (2310 – 2000) 310
T 10 Profit% =  100 = = 15.5%
2000 20
20 12
20. (d)
8:3 15 : 7
5:2
15 3 7 
 154
  154

11  22 

2
3 : 5  154

7
Time ratio = 3 : 5
Speed ratio = 5 : 3 LCM of 11, 22 and 7 is 154
42 49
20 12

r
Distance ratio = :
5 3

si
Required ratio = 1 : 1
17. (b) 44

3 
I an by 5 
II

n
  7  9  11
   7  9  11

5 : 2
7 11 
21. (c)
4
ja
 7  9  11

R s
2,500 1,500
9
a th

297 315

2,250
ty a

308

750 : 250
di M

3 : 1
7 : 11
22. (d)
7 2000  3  1  400 6400
Quantity of Ist mixture =  18 = 7 litres
18 cost = = = 1600
4 4
18. (c) cost of 8 kg. of this alloy = 8 × 1600 = Rs 12800
I II 23. (a)
3 9  C B
  120
   120
 10%) ×7 20%) ×7
8 20 
5 120  
 120
 
  %
  7
12   7  
A

LCM of 8, 20 and 12 is 120 70% 140%

45 54

120%
50

20 : 50
4 : 5 2 : 5

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24. (b) 27. (d)

I II SP  120%  Rs. 60
3  7  60
  36
   36
 SP  100% 
120
× 100 = Rs. 50
4 18 
1 42 60
 36

2
27 14

50

18
10 : 8
5 : 4
4 : 9 4 unit  16

r
25. (a) 1 unit  4

si
SP  125%  Rs 1.50 5 unit  20 kg.
28. (d)
SP  100%  an by1.50
125
 100 = 1.2 I.
15%
II.
5%

n
1.15 1.24

ja
R s
10%
a th

1.20

5 : 5
ty a

0.04 : 0.05
1 : 1
4 : 5
di M

Solution I  1 unit  20 litre

26. (c)
Solution II  1 unit  20 litre
C N 29. (a)
I. 65 35  13 : 7 SP  120%  Rs 5.94
II. 17 : 3 5.94
Final 4 : 1 CP  100%  Rs  100
120
7  3  = Rs 4.95
 20
  20

20  20  5.40 4.50
1
 20

5
A

7 3 4.95

4 0.45 : 0.45
1 : 1
×10 ×10
1 : 3 10 kg. 10 kg.

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30. (a) 35. (d)

Total heads = 160 A B
Total Legs = 450 2 6 
160 × 2 = 320   7  13
   7  13

7 13 
Extra legs = 450 – 320 = 130
5
because of extra two legs of Rabbits  7  13

13 
130
No. of Rabbits = = 65 26 42
2
31. (c)
Original Replaced
35
40% 19%

7 : 9
36. (b)

r
26%
3
= 37.5%

si
8
an by I. II.
7 : 14
25% 50%
1 : 2

n
2 2
Quantity of whisky replaced = =
ja 1 2 3
R s
37.5%
32. (c)
a th

G B
0.50 1
x 450 – x 12.5 : 12.5
(0.50) x + (450 – x) × 1 = 390 1:1 2 unit  12 litres
ty a

0.50x + 450 – x = 390

0.50x = 60 ×6 ×6 1 unit  6 litres
di M

x = 120 6 litres 6 litres

33. (c) 37. (b)

+12% –8% 1
 80
1×80 2

64
+11%  80
80

x y
A

19 : 1  20 unit  60
80 40
×3 ×3 1 unit  3
57 3
34. (c) 64

1  Water
Gain% = 25% =
4  Milk
24 16
1
% of water = × 100 = 20% 3 : 2
5

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2 40. (c)
  80 = 32 coins Final S.P = 56
5
Profit% = 12%
38. (d) 56
C.P =  100 = 50
112
Others Officers
By allegation:
Rs 4,000 Rs 14,000
60 42

Rs 5,000
50

9,000 : 1,000
8 10
9 : 1  10 unit  500

r
8 : 10
 1 unit  50

si
39. (c) 5  24
Using allegation:- 4  19.2 kg.
60%
an by 50%

n
ja
R s
52%
a th

2 8
ty a

1 : 4
4
 Mix ture replaced =
di M

5
A

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 ALLIGATION (,yhxs'ku)
(CLASSROOM SHEET)
dks fdl vuqikr esa feyk;k tkuk pkfg, rkfd u,
MIXTURE BASED QUESTIONS feJ.k esa nkftZfyax vkSj vle pk; dk vuqikr%
613
1. Two vessels are full of milk with milk- gks tk,A gS
water ratios 1 : 4 and 3 : 8, respectively. (SSC CGL Tier-II Exam, 2014 12.04.2015
If both are mixed in the ratio 3 : 2, what (a) 22 : 35 (b) 26 : 35
is the ratio of milk and water in the new (c) 35 : 78 (d) 13 : 22
mixture? 5. Acid and water are mixed in a vessel A
nks crZu nw/ vkSj ikuh ls Øe'k% 1 %4 vkSj in the ratio of 5 : 2 and in the vessel B
3 %8ds vuqikr esa Hkjs gq, gSaA ;fn nksuksa
%2ds dks3 in the ratio 8 : 5. In what proportion

r
vuqikr esa feyk;k tkrk gS]rks u, feJ.k esa nw/ should quantities be taken out from the
vkSj ikuh dk vuqikr D;k gksxk\ two vessels so as to form a mixture in

si
which the acid and water will be in the
(a) 4 : 15 (b) 3 : 7
ratio of 9 : 4?

2.
(c) 63 : 212
an by (d) N.O.T
Two mixtures contain milk and water in ,d crZu A esa 5%2 ds vuqikr esa ,flM vkSj ikuh
feyk;k tkrk gS vkSj crZu
B esa 8 %5 ds vuqikr esa

n
the ratios 3 : 2 and 4 : 5. How many litres
of the second mixture must be mixed feyk;k tkrk gSA nksuksa crZuksa ls fdl vuqikr esa ek=k
with 3 litres of the first mixture so that fudkyuh pkfg, rkfd ,d feJ.k cu tk, ftlesa
ja
R s
the new mixture thus formed contain
equal quantities of milk and water?
,flM gks vkSj ikuh%94 ds vuqikr esa gksxk\
a th

SSC CHSL, DEO & LDC Exam (04.12.2011)

nks feJ.kksa esa nw/ vkSj ikuh dk vuqikr
%2 vkSj
3
(a) 7 : 2 (b) 2 : 7
4 %5 gSA nwljs feJ.k dh fdrus yhVj ek=kk dks igys
(c) 7 : 4 (d) 2 : 3
feJ.k dh 3 yhVj ek=kk ls feyk;k tk, rkfd çkIr
6. Solution A contains 10% acid and
u, feJ.k esa nw/ vkSj ikuh dh ek=kk leku gks\
ty a

solution B contains 30% acid. In what

(a) 5 ltr (b) 5.4 ltr ratio should solution A be mixed with
di M

(c) 5.5 ltr (d) 6 ltr Solution B to obtain a mixture with 25%
3. The milk and water in two vessels A and acid?
B are in the ratio 4 : 3 and 2 : 3
feJ.k A esa 10» ,flM gS rFkk feJ.k B esa 30»
respectively. In what ratio, the liquids in
both the vessels be mixed to obtain a new ,flM gSA feJ.kA dks feJ.k B ds lkFk fdl vuqikr
mixture in vessel C containing half milk esa feyk;k tk, fd feJ.k esa 25» ,flM izkIr gks tk,\
and half water? CGL Mains 2018
nks crZuA vkSj B esa nw/ vkSj ikuh dk vuqikr (a) 1 : 2 (b) 3 : 1
Øe’k% 4%3 vkSj 2%3 gSA vk/k nw/ vkSj vk/k (c) 1 : 3 (d) 2 : 1
ikuh okys crZuB esa ,d u;k feJ.k çkIr djus ds 7. Two alloys are both made up of copper
fy, nksuksa crZuksa esa rjy inkFkZ dks fdl vuqikr esa
and tin. The ratio of copper and tin in the
feyk;k tkrk gS\ first alloy is 1 : 3 and in the second alloy
A

is 2 : 5. In what ratio should the two

(a) 7 : 5 (b) 5 : 2
alloys be mixed to obtain a new alloy in
(c) 3 : 11 (d) 1 : 2
which the ratio of tin and copper be 8 : 3?
4. In two blends of mixed tea, the ratios of
Darjeeling and Assam tea are 4 : 7 and nks feJ/krq,a nksuksa rkacs vkSj fVu ls cuh gSaA igy
2 : 5. The ratio in which these two blends feJ/krq esa rkacs vkSj fVu dk vuqikr%3 gS
1 vkSj
should be mixed to get the ratio of nwljh feJ /krq esa %25 gSA ,d ubZ feJ/krq çkIr
Darjeeling and Assam tea in the new djus ds fy, nksuksa feJ/krqvksa dks fdl vuqikr esa
mixture as 6 : 13 is
feyk;k tkuk pkfg, ftlesa fVu vkSj rkacs dk vuqikr
fefJr pk; ds nks feJ.kksa esa nkftZfyax vkSj vle
8 %3 gks\
pk; dk vuqikr 4 %7 vkSj 2%5 gSA bu nksuksa feJ.kksa
[1]
 (SSC CHSL DEO & LDC Exam. (27.10.2013) 11. 40 litres of a mixture of milk and water
(a) 3 : 5 (b) 4 : 7 contains 10% of water, the amount of
(c) 3 : 8 (d) 5 : 11 water to be added, to make the water
content 20% in the new mixture is :
8. The ratio of two liquids in a mixture is
3 : 5 and that in another mixture is 6 : 1. 40 yhVj okys nw/ vkSj ikuh ds feJ.k esa 10»
The ratio in which these two mixtures ikuh gSA fdl ek=kk esa ikuh feyk;s ftlls u;s feJ.k
should be mixed so as to make the ratio esa 20» ikuh gks\
of the liquids 7 : 3 is (a) 6 litre (b) 6.5 litre
,d feJ.k esa nks æoksa dk vuqikr%53 gS vkSj (c) 5.5 litre (d) 5 litre
nwljs feJ.k esa %
61 gSA bu nksuksa feJ.kksa dks12.fdl 300 gram of sugar solution has 40% of
vuqikr esa feyk;k tkuk pkfg, rkfd æoksa dk vuqikr sugar in it. How much sugar should be
added to make it 50% in the solution?
7 %3 gks tk,
300 xzke phuh ds ?kksy esa 40 izfr'kr phuh gSA blesa
(CGL Tier-II Exam, 2014 12.04.2015
fdruh phuh vkSj feykbZ tkuh pkfg, ftlls og bl
(a) 44 : 71
?kksy dk 50 izfr'kr gks tk,\
(b) 44 : 81
(a) 60 gms (b) 80 gms

r
(c) 44 : 91
(c) 10 gms (d) 40 gms
(d) 44 : 61
13. An alloy contains copper and tin the ratio

si
9. In an alloy 80% is copper and remaining 3 : 2. If 250 gm of copper is added to this
is tin. In another alloy, copper is 85% and alloy then the copper in it becomes
an by
tin is 12%. In what ratio should the two
alloy be mixed so that the new mixture
double the quantity of tin in it. What is
the amount (in gms) of tin in the alloy?

n
must have 15% tin. Also find the ,d feJ/krq esa rkacs vkSj fVu dk vuqikr
3%2
percentage of copper in the new mixture?
gSA ;fn bl feJ/krq esa 250 xzke rkack feyk fn;k
ja
,d feJ/krq esa 80» dkWij vkSj 'ks"k fVu gSA nwljh tkrk gS rks blesa mifLFkr rkack blesa mifLFkr fVu
R s
feJ/krq esa 85» dkWij vkSj 12» fVu gSA bu nksuksa dh ek=kk dk nksxquk gks tkrk gSA bl feJ/krq esa fVu
a th

feJ/krqvksa dk vuqikr D;k gksuk pkfg, fd u;s feJ.k fdruh ek=kk (xzke esa) gS\
esa 15» fVu gks rFkk ;g Hkh irk djsa fd u;s feJ.k CGL Mains 2018
esa dkWij fdrus izfr'kr gSa\ (a) 250 (b) 750
ty a

(a) 3 : 5 (c) 1000 (d) 500

(b) 5 : 3 14. A jar full of 60 litres syrup contains 40%
di M

(c) 2 : 3 honey. A part of this syrup is replaced by

(d) 3 : 4 another containing 19% of honey and now
10. If a dairy mixes cow’s milk which ratio of honey and other would be 13 : 37.
Find the quantity syrup is replaced.
contains 10% fat with buffalo’s milk
which contains 20% fat, then the 60 yhVj flji ls Hkjs tkj esa 40» 'kgn gSA bl
120 flji dk ,d fgLlk nwljs fgLls ls cny fn;k tkrk
% of fat.
resulting mixture has fat
7 gS ftlesa 19» 'kgn gS vkSj vc 'kgn vkSj vU; dk
What ratio was the cow’s milk mixed with vuqikr 13%37 gksxkA flji dh cnyh ek=kk Kkr djsaA
buffalo’s milk? (a) 40 (b) 45
dksbZ Ms;jh xk; dk nw/ ftlesa olk (iQSV) dk izfr'kr (c) 35 (d) 80
10» gS] rks HkSal ds nw/ ds lkFk feykrh gSa15. ftlesaA jar full of 70 litres syrup contains 50%
20» olk gS rks ifj.kkeh feJ.k eas olk] olk dk honey. A part of this syrup is replaced by
A

another containing 29% of honey and now

120
% gksrk gSA xk; dk nw/ fdl vuqikr esa ratio of honey and other would be 8 : 25.
7 Find the quantity syrup is replaced.
HkSal ds nw/ ds lkFk feyk;k x;k\ 70 yhVj flji ls Hkjs tkj esa 50» 'kgn gSA bl
CGL Mains 2018 flji dk ,d fgLlk nwljs fgLls ls cny fn;k tkrk
(a) 2 : 5 gS ftlesa 29» 'kgn gS vkSj vc 'kgn vkSj vU; dk
(b) 1 : 5 vuqikr 8% 25 gksxkA flji dh cnyh ek=kk Kkr djsaA
(c) 2 : 3 (a) 10 (b) 50
(d) 2 : 1 (c) 60 (d) 80

[2]
 20. A shopkeeper bought one type of rice at
PROFIT AND LOSS ` 12 per kg and other type at ` 16.25 per
kg. After mixing both types of rice he
BASED QUESTIONS. fixed the cost of mixture as ` 14.75 per
16. In what ratio should coffee powder kg. if the total quantity of the rice be 85
kg, find the quantity of first type of rice.
costing ` 2500/kg be mixed with coffee
powder costing ` 1500/kg so that the cost ,d O;kikjh ,d çdkj ds pkoy tks fd ` 12 çfr
of the mixture is ` 2250/kg? fdxzk gS vkSj nwljs çdkj ds pkoy tks` fd16-25
dkWiQh ikmMj ftldh dher ` 2500 izfr fdxzk gSa] çfr fdxzk •jhnrk gSA mlds ckn og mu nksuksa dks
dks fdl vuqikr esa` 1500 izfr fdxzk dher okys feykdj mudk ewY;` 14-75 çfr fdxzk fuf'pr djrk
dkWiQh ikmMj ds lkFk feyk;k tk, fd feJ.k dh gSA ;fn pkoy dh dqy ek=kk 85 fdxzk gks] rks igys
dher ` 2250 izfr fdxzk gks tk,\ çdkj ds pkoy dh ek=kk Kkr djsa\
(a) 1 : 4 (b) 4 : 1 (a) 55 kg (b) 30 kg
(c) 3 : 1 (d) 1 : 3 (c) 35 kg (d) 40kg
17. In what ratio, sugar costing ` 60 per kg 21. A shopkeeper have 65 kg daal , he sell one
be mixed with sugar costing ` 42 per kg part at 8% profit and sell other part to

r
such that by selling the mixture at ` 56 18% profit. In overall business he gain
14%, than find the quantity of rice that

si
per kg there is a gain of 12%?
is sell on 8% profit .
` 60 çfr fdxzk- okyh phuh dks
` 42 çfr fdxzk-
,d nqdkunkj ds ikl 65 fdxzk- nky gS mles ls
an by
okyh phuh esa fdl vuqikr esa fefJr fd;k tk,
ftlls fd fefJr phuh dks ` 56 çfr fdxzk- ds ewY;
dqN fgLls dks og 8» ykHk ij rFkk ‘ks”k dks og
18» ykHk ij csprk gSA iwjs O;kikj esa mls 14» ykHk

n
esa cspus ij 12» dk ykHk çkIr gks lds\
çkIr~ gksrk gSA 8» ykHk ij csph xbZ nky dh ek=kk
(a) 5 : 7 (b) 8 : 9
ja Kkr djsa A
R s
(c) 5 : 6 (d) 4 : 5
(a) 39 kg (b) 26 kg
18. How many kg of salt costing ` 28 per kg
a th

(c) 18 kg (d) 32 kg
must be mixed with 39.6 kg of salt
costing ` 16 per kg, so that selling the
mixture at ` 29.90, there is a gain of DISCOUNT BASED QUESTIONS
15%?
ty a

22. A seller sells 2 watches at 8% and 15%

` 16 çfr fdxzk ewY; ds 39-6 fdxzk ued `esa28 discount each. Total marked price of both
çfr fdxzk ewY; dk fdrus fdxzk ued feyk;k tk,
di M

the items are ` 2100 . Find the difference

ftlls fd feJ.k dks ` 29-90 dh nj ij cspus ij between marked price of both items, if
15» dk ykHk gks\ total discount is of 12%.
CGL Tier-II (2019) ,d foØsrk 2 ?kfM+;k¡ 8» vkSj 15» NwV ij csprk
(a) 198 (b) 133 gSA nksuksa oLrqvksa dk dqy vafdr
` 2100
ewY;
gSA
(c) 132 (d) 135 ;fn dqy NwV 12» gS] rks nksuksa oLrqvksa ds vafdr
19. A student bought 10 pencils and 8 pens ewY; ds chp dk varj Kkr dhft,A
at ` 150 . He sells pencil at 4% profit and CGL Tier II (2019)
pen at 7% profit. Overall he gains ` 9. (a) 360 (b) 300
Find the cost price of each pencil and (c) 500 (d) 200
pen.
,d Nk=k us ` 150 esa 10 isafly vkSj 8 isu •jhnsA SIMPLE INTEREST BASED
A

og isafly dks 4» ykHk ij vkSj isu dks 7» ykHk

ij csprk gSA dqy feykdj mls` 9 dk ykHk gksrk
QUESTIONS
gSA çR;sd isafly vkSj isu dk Ø; ewY; Kkr dhft,A 23. Harish is having ` 40,000 . He deposited
CGL Tier-II (2019) it in 2 banks. Interest given by 1st bank
(a) 3, 6 is 9.5% per annum and that of 2nd bank
(b) 5, 10.5 is 5.5% per annum. If at t he end of a
year Harish got ` 3200. Then find the
(c) 5, 12.5
difference of the balance amount
(d) 3, 6 deposited in both banks?

[3]
 gjh'k ds ikl ` 40]000 gSaA mlus bls 2 cSadksa
27. esa
A sum of ` 15,600 is invested partly at
tek dj fn;kA igys cSad }kjk fn;k x;k C;kt 7% per annum and the remaining at 9%
9-5» çfr o"kZ gS vkSj nwljs cSad dk 5-5» çfr o"kZ per annum simple interest. If the total
interest at the end of 3 years is ` 3738,
gSA ;fn ,d o"kZ ds var esa gjh'k`dks
3200 feyrs how much money was invested at 7% per
gSaA rks nksuksa cSadksa esa tek 'ks"k jkf'k dk varj Kkr
annum?
dhft,\ ` 15]600 dh jkf'k vkaf'kd :i ls 7» izfr o"kZ
(a) ` 36000 (b) ` 30000 vkSj 'ks"k 9» izfr o"kZ lk/kj.k C;kt ij fuos'k dh
(c) ` 10000 (d) ` 20000
tkrh gSA ;fn 3 o"kks± ds var esa dqy` C;kt
3738
24. A sum of ` 12,800 is invested partly at
15% per annum and the remaining at
gS] rks izfr o"kZ 7» ij fdruk /u fuos'k fd;k x;k
12% per annum simple interest. If the Fkk\
total interest at the end of 3 years is (a) ` 7800 (b) ` 7900
` 5085. Then how much money was (c) ` 7600 (d) ` 7700
invested at 15% per annum. 28. A sum of ` 10,200 is invested partly at 8%
` 12]800 dh ,d jkf'k va'kr% 15» izfr o"kZ rFkk per annum and remaining at 6% per
va'kr% 12» izfr o"kZ lk/kj.k C;kt ij fuos'k dh annum for 3 years at simple interest. If

r
tkrh gSA ;fn 3 o"kZ ds var esa dqy `C;kt5]085 the total interest is ` 2,124, how much

si
money was invested at 6% per annum?
gS] rks 15» izfr o"kZ ij fdruh jkf'k fuos'k dh x;h
Fkh\ ` 10]200 dh ,d jkf'k 3 o"kks± ds fy, va'kr% 8»
an by
SSC CPO 12 March 2019 izfro"kZ vkSj 'ks"k 6» izfr o"kZ lk/kj.k C;kt dh nj
ls fuos'k dh tkrh gSA ;fn dqy C;kt ` 2124 gS]

n
(a) ` 5200 (b) ` 7500
(c) ` 5800 (d) ` 5300 rks 6» izfro"kZ ij fdruh jkf'k fuos'k dh xbZ Fkh\
SSC CPO 13 March 2019 (Evening)
25.
ja
A person lends some amount of ` 8400 to
R s
the rate of 12% and at some at rate of (a) ` 4900 (b) ` 5200
21%. If the interest earned in the last (c) ` 4800 (d) ` 5400
a th

three year is ` 3906, then how much

29. A man has ` 10,000. He lent a part of it
money did they get at the rate of 21%?
at 15% simple interest and the remaining
,d O;fDr ` 8400 dh jkf'k esa ls dqN jkf'k 12» at 10% simple interest. The total interest
dh nj ij vkSj dqN jkf'k 21» dh nj ij m/kj
ty a

he received after 5 years amounted to

nsrk gSA ;fn dqy rhu o"kZ esa` C;kt
3960 feyk ` 6,500. The difference between the parts
gks] rks 21» dh nj ls mUgsa fdruk /u C;kt ds :Ik
di M

of the amounts he lent is :

esa feyk\ ,d O;fDr ds ikl ` 10]000 gSaA mlus blds ,d
(a) 2712 (b) 1848 fgLls dks 15» lk/kj.k C;kt rFkk 'ks"k fgLls dks
(c) 936 (d) 2058 10» lk/kj.k C;kt ij m/kj ns fn;kA 5 o"kks± ckn
26. A sum of ` 15,000 is invested partly at mls dqy` 6]500 lk/kj.k C;kt izkIr gqvkA mlds
12% per annum and the remaining at }kjk m/kj nh xbZ jkf'k;ksa dk varj gS %
10% per annum simple interest. If the
SSC CHSL 18/03/2020 (Morning)
total interest at the end of 2 years is
` 3,344, how much money was invested (a) ` 2,000 (b) ` 2,500
at 10% per annum? (c) ` 1,500 (d) ` 1,750
` 15]000 dh ,d jkf'k dk dqN Hkkx 12» izfr o"kZ
rFkk 'ks"k Hkkx 10» izfr o"kZ lkèkkj.k C;kt ij fuos'kTIME,SPEED AND DISTANCE
A

fd;k tkrk gSA ;fn 2 o"kks± ds var esa dqy C;kt BASED QUESTIONS
` 3]344 gS] rks 10» izfr o"kZ dh nj ls fdruh
jkf'k fuos'k dh xbZ Fkh\ 30. A person went to Delhi to Agra. He
SSC CPO 12 March 2019 (Morning) covered some distance by bus and
remaining distance by train. He covered
(a) ` 6,200 complete distance which is 360 km in 6
(b) ` 6,600 hours. Average speed of bus is 48 km/h
(c) ` 6,400 and average speed of train is 120 km/h.
(d) ` 6,500 Find distance covered by train.

[4]
 ,d O;fÙkQ fnYyh ls vkxjk x;kA mlus dqN nwjh cl ,d vkneh 61 fdeh dh nwjh 9 ?k.Vs esa r; djrk
ls vkSj 'ks"k nwjh Vªsu ls r; dhA mlus iwjh nwjh r; gS] ftles dqN lkbfdy rFkk dqN iSnyA ;fn lkbfdy
dh tks fd 6 ?kaVs esa 360 fdeh gSA cl dh vkSlr dh xfr 9 fdeh@?kaVk vkSj iSny dh xfr 4 fdeh@?kaVk
xfr 48 fdeh@?kaVk vkSj Vªsu dh vkSlr xfr 120 gS] rks mlds }kjk lkbfdy vkSj iSny pyus esa fy,
fdeh@?kaVk gSA Vªsu }kjk r; dh xbZ nwjh Kkr dhft,A x, le; dk vuqikr crkb, A
(a) 120 (b) 240 (a) 4 : 5 (b) 5 : 4
(c) 360 (d) 180 (c) 2 : 7 (d) 7 : 2
31. A car travel 20 km/h for 30 min and at x 35. A man covered a distance of 220km in 11
km/h for 45 min. If the average speed of hour partly by bus at 14 km\h and partly
the car for entire journey is 14 km/h find by car at 25 km\h. Find what percent of
the value of x distance he covered by bus.
,d dkj 20 fdeh@?kaVk ls 30 feuV pyrh gS rFkk ,d vkneh 220 fdeh dh nwjh 11 ?kaVs esa r; djrk
x fdeh-@?kaVk dh pky ls 45 feuV pyrh gSA ;fn gSA dqN fgLlk cl ls 14 fde@?kaVk dh pky ls
iwjh ;k=kk ds fy, dkj dh vkSlr pky 14 fdeh@?kaVk rFkk dqN dkj ls 25 fdeh@?kaVk dh pky ls r;
gS] rks
x dk eku crkb,A djrk gSA crkb, mlus fdruh izfr'kr dh nwjh cl

r
(a) 10 km/h ls r; dh\
(b) 15 km/h (a) 31.82% (b) 68.18%

si
(c) 12 km/h (c) 41.7% (d) 58.33%

32.
(d) 20 km/h
an by
A man covered a distance of 60 km in 5 PERCENTAGE

n
hour partly by train at 15 km/h and
partly by foot at 10km/h. The distance (POPULATION BASED QUESTIONS)
covered by train is.

ja
,d vkneh 60 fdeh dh nwjh 5 ?kaVs esa r; djrk36. Population of a town is 1,20,000 . If
R s
number of male increases by 7% and
gSA bldk ,d fgLlk Vªsu esa 15 fdeh@?kaVk dh pky females increases by 10%, then the
a th

ls rFkk nwljk fgLlk iSny 10 fdeh@?kaVk dh pky population of town would increase by
ls r; djrk gS] rks Vªsu ls r; dh xbZ nwjh crkb,A 9.5%. Find the difference between male
(a) 45 km to female population living in that town?
ty a

(b) 30 km ,d dLcs dh tula[;k 1]20]000 gSA ;fn iq#"kksa dh

(c) 20 km la[;k esa 7» vkSj efgykvksa dh la[;k esa 10» dh
di M

(d) 40 km o`f¼ gksrh gS] rks 'kgj dh tula[;k esa 9-5» dh

33. A person travels 255 km in 7 hours in two o`f¼ gksxhA ml 'kgj esa jgus okys iq#"k ls efgyk
stages. In the first part of journey, he vkcknh ds chp varj Kkr dhft,\
travels by bus at the speed of 30km\h.
In the second part of journey, he travels (a) 25000
by train at the speed of 45km\h. How (b) 80000
much distance he travel by bus? (c) 24000
,d vkneh 255 fdeh 7 ?kaVs esa nks pj.k esa ;k=kk (d) 10800
djrk gSA çFke pj.k esa og cl ls 30 fdeh@?kaVk 37. Population of town is 15,000. If number
of male decreases by 10% and number of
dh pky ls rFkk nwljs pj.k esa Vªsu ls 45 fdeh@?kaVkfemale increases by 5% then the
dh pky ls ;k=kk djrk gSA crkb, mlus cl ls fdruh population of town would increase by 600.
A

nwjh r; dh \ Find the number of male in the town.

(a) 135 km ' kgj dh vkcknh 15]000 gSA ;fn iq#"kksa dh la[;k
(b) 145 km esa 10» dh deh gksrh gS vkSj efgykvksa dh la[;k esa
(c) 120 km 5» dh o`f¼ gksrh gS] rks 'kgj dh tula[;k esa 600
(d) 125 km dh o`f¼ gksxhA 'kgj esa iq#"kksa dh la[;k Kkr dhft,A
34. A person travelled 61 km in 9 hours (a) 1500
partly by cycle and partly on foot. Speed
(b) 1000
of cycle is 9 km\h and speed of foot is 4
km\h. find the ratio of time travelled by (c) 1400
cycle and foot. (d) 1080

[5]
 42. There are 125 middle level employee in
PERCENTAGE Due North Inc. The average monthly
salary of the middle level employees is
(INCOME EXPENDITURE ` 5500 and that of the senior level
employees is ` 14000. If the average
BASED QUESTIONS) monthly salary of all these employees
` 8687.5, find the total number of
38. If the income of a family decreases by 6% employees in the company, if middle and
and expenditure decreases by 8% , and its senior level employees of Due North Inc.
saving increases by 4%. Find the ratio of form 80% of their total employees?
income and expenditure of that family.
Due north daiuh esa eè; Js.kh ds 125 deZpkjh
;fn ,d ifjokj dh vk; esa 6» dh deh gks tkrh
gSaA eè; Js.kh ds deZpkfj;ksa dk vkSlr osru
gS vkSj O;; esa 8» dh deh gks tkrh gS] vkSj mldh
` 5500 gS] tcfd mPp Js.kh ds deZpkfj;ksa dk
cpr esa 4» dh o`f¼ gksrh gSA ml ifjokj dh vk; vkSlr osru ` 14000 gSA ;fn dqy deZpkfj;ksa dh
vkSj O;; dk vuqikr Kkr dhft, A vkSlr ekfld osru ` 8687-5 gSA daiuh esa deZpkfj;ksa
(a) 6 : 5 (b) 2 : 1
dh lka[; Kkr dhft;s ;fn eè; vkSj mPp Js.kh ds
(c) 5 : 6 (d) 3 : 1
deZpkfj;ksa dh la[;k daiuh ds dqy deZpkfj;ksa dh

r
39. Raghav spends 80% of his income. If his
la[;k dk 80» gSA

si
income increase by 12% and the savings
decrease by 10%, then what will be the (a) 175 (b) 200
(c) 220 (d) 250
an by
percentage increase in his expenditure?
jk?ko viuh vk; dk 80» [kpZ djrk gSA ;fn mldh 43.
vk; 12» ls c<+ tkrh gS vkSj cpr 10» de gks
A company has undergraduate and
graduate employee. The average salary of

n
each graduate employee is ` 16550 and
tkrh gS] rks mlds O;; esa izfr'kr o`f¼ Kkr djsaA undergraduate employee is ` 11950,

ja
CGL Mains 11 September 2019 average salary of workers in company is
R s
(a) 20.5% (b) 16% ` 14750 if there are total 575 worker in
company then find out total number of
a th

(c) 17.5% (d) 22%

graduate employee in company?

PERCENTAGE ,d daiuh esa vaMj xzstq,V vkSj xzstq,V deZpkjh gSaA

izR;sd xzstq,V deZpkjh dh vkSlr ‘vk;
16550 gS]
ty a

MISCELLANEOUS QUESTIONS tcfd vaMj xzstq,V deZpkjh dh vkSlr vk;

` 11950
gSA tcfd deZpkfj;ksa dh vkSlr vk;` 14750 gSA
di M

40. There are 2 types coins in a box 25p and

50p. The total money in box is ‘ 42 and ;fn daiuh esa dqy deZpkfj;ksa dh la[;k 575 gS rks
the total number of coins is 120. Find the daiuh esa xzstq,V deZpkfj;ksa dh la[;k Kkr djsaA
number of 25p coins. (a) 280
fdlh ckWDl esa 25 iSls vkSj 50 iSls ds nks izdkj ds (b) 350
flDds gSaA ckWDl esa dqy ` 42/ugS vkSj flDdksa (c) 301
dh dqy la[;k 120 gSA 25 iSls ds flDds dh la[;k (d) 322
crkb,A 44. The income of A is 50% more than that
of B. If the income of A is increased by
(a) 72 (b) 48
40% and the income of B is increased by
(c) 52 (d) 60
90%, then the percentage increase in
41. There are 2 types coins in a box 25p and their combined income will be :
50p the total money in box is ` 36 and
A

A dh vk; B dh vk; ls 50» vf/d gSA ;fn A

the total number of coin is 90. If the
number of coins are interchanged then dh vk; 40» ls c<+k nh tk, vkSjB dh vk; 90»
find the total money. ls c<+k nh tk, rks mudh la;qDr vk; esa fdrus izfr'kr
fdlh ckWDl esa 25 iSls vkSj 50 iSls ds nks izdkj ds dh o`f¼ gksxh\
flDds gSaA ckWDl esa dqy ` 36 /u
gS vkSj flDdksa dh SSC CGL 6 June 2019 (Morning)
dqy la[;k 90 gSA ;fn flDdksa dh la[;k dks vkil (a) 64
esa cny fn;k tk, rks vc dqy /u fdruk gksxk\ (b) 55
(a) ` 30 (b) ` 35 (c) 60
(c) ` 31.5 (d) ` 40 (d) 70

[6]
45. Raghav spends 80% of his income. If his nks d{kkvksa
M rFkk N ds vkSlr vad Øe'k% 25
income increases by 12% and the savings rFkk 40 gS vkSj izkIr lexz vkSlr 30 gSAMd{kk
decrease by 10%, then what will be the
rFkkN ds Nk=kksa dk vuqikr gS %
percentage increase in his expenditure?
SSC MTS 9 August 2019 (Evening)
jk?ko viuh vk; dk 80» [kpZ djrk gSA ;fn mldh
(a) 2 : 1 (b) 5 : 6
vk; 12» ls c<+ tkrh gS vkSj cpr 10» ls de gks (c) 1 : 2 (d) 5 : 3
tkrh gS] rks mlds O;; esa izfr’kr o`f¼ Kkr djsaA
50. In a company with 600 employees, the
SSC CGL Tier II (11 September 2019) average age of male employees is 42 years
(a) 20.5 (b) 16 and that of female employees is 41 years.
(c) 17.5 (d) 22 If the average age of all the employees in
46. A spends 65% of his income. His income the company is 41 years and 9 months,
has increased by 20.1% and his then the number of female employees is :
expenditure has increased by 25%. His 600 deZpkfj;ksa okyh daiuh esa iq#"k deZpkfj;ksa dh
savings : vkSlr vk;q 42 o"kZ gS vkSj efgyk deZpkfj;ksa dh
A viuh vk; dk 65» [kpZ djrk gSA mldh vk; vkSlr vk;q 41 o"kZ gSA ;fn daiuh esa lHkh deZpkfj;ksa
20-1» ls c<+ tkrh gS vkSj O;; esa 25» dh o`f¼ dh vkSlr vk;q 41 o"kZ vkSj 9 eghus gS] rks efgyk

r
gks tkrh gSA mldh cpr gS % deZpkfj;ksa dh la[;k gS %

si
SSC CGL Tier II (12 September 2019) SSC CHSL 16/10/2020 (Morning)
(a) increase by 11% (b) increase by 5% (a) 150 (b) 250

47.
an by
(c) Decrease by 5% (d) Decrease by 11%
Monika spends 72% of her income. If her 51.
(c) 450 (d) 350
The average of 21 data is 36 out of which

n
income increase by 20% and savings the first 12 data are having an average of
increase by 15%, then her expenditure 15. The average of the rest 9 data is :

ja
increase by (correct to 1 decimal place) 21 vkadM+ksa dk vkSlr 36 gS ftlesa ls igys 12
R s
eksfudk viuh vk; dk 72» [kpZ djrh gSA ;fn vkadM+ksa dk vkSlr 15 gSA 'ks"k 9 vkadM+ksa dk vkSlr g
mldh vk; 20» c<+ tk, vkSj mldh cpr 15»
a th

SSC MTS 14 August 2019 (Evening)

c<+ tk, rks mlds O;; esa fdrus dh o`f¼ gksxh\ (a) 87 (b) 65
(,d n'keyo LFkku rd lgh) (c) 64 (d) 50
52. The average weight of 16 boys in a class
ty a

(a) 20.8% (b) 20.2%

(c) 21.9% (d) 19.8% is 60.25 kg and that of the remaining 10
boys is 45.75 kg. The average weight of
di M

2
48. A student answered rd of total all boys in the class is :
3
questions. 60% right. How much percent fdlh d{kk esa 16 yM+dksa dk vkSlr otu 60-25
he should answer rest questions right so fdxzk gS rFkk 'ks"k 10 yM+dksa dk vkSlr otu 45-75
that he may get 70% marks in fdxzk- gSA bl d{kk esa lHkh yM+dksa dk vkSlr otu
examination. D;k gksxk\
2 SSC CPO 16 March 2019 (Evening)
,d Nk=k us dqy ç'uksa esa dk
ls mÙkj fn;kA 60»
3 (a) 56.27 (b) 55.37
lghA mls 'ks"k ç'uksa dk fdrus çfr'kr lgh mÙkj (c) 54.67 (d) 53.76
nsuk pkfg, rkfd og ijh{kk esa 70» vad çkIr dj53. In a class of 50 students, 46% are girls
ldsA and the remaining are boys. The average
(a) 25% (b) 60% of the boys marks is 58 and that of the
A

(c) 80% (d) 90% girls is 62. What are average marks of the
whole class?
WEIGHTED AVERAGE BASED 50 Nk=kksa dh ,d d{kk esa 46» yM+fd;k¡ gSa rFkk 'ks"
yM+ds gSaA yM+dksa ds vadksa dk vkSlr 58 gS rF
QUESTIONS yM+fd;ksa ds vadksa dk vkSlr 62 gSA iwjh d{kk dk
49. The average marks of two classes M and vkSlr vad Kkr djsaA
N are 25 and 40 respectively and the SSC CGL 11 June 2019 (Evening)
overall average is 30. The ratio of the (a) 59.84 (b) 60.65
students of classes M and N is : (c) 60.38 (d) 60.12

[7]
54. The number of students in classes A and 58. The average age of 120 students in a
B are 60 and 70, respectively. The group is 13.56 years, 35% of the number
average score in mathematics of students of students are girls and the rest are boys.
in B is 57 and that of all students in A If the ratio of the average age of boys and
and B is 63. What is the average score of girls is 6.5, then what is the average age
students in A? (in years) of the girls?
d{kkA vkSj B esa Nk=kksa dh la[;k Øe'k% 60 vkSj ,d lewg ds 120 Nk=kksa dh vkSlr mez 13-56 o"kZ
70 gSAB esa xf.kr esa Nk=kksa dk vkSlr vad 57 rFkk
gSA Nk=kksa esa 35» yM+fd;k¡ gSa rFkk 'ks"k yM+ds
A vkSj B ds lHkh Nk=kksa dk xf.kr esa vkSlr vad
yM+dksa vkSj yM+fd;ksa dh vkSlr mez 6dk%5vuqikr
63 gSA
A ds Nk=kksa dk vkSlr vad Kkr djsaA
SSC MTS 22 August 2019 (Afternoon)
gS] rks yM+fd;ksa dh vkSlr mez (o"kZ esa) fdruh gS\
CGL Tier II (13 September 2019)
(a) 69 (b) 70
(c) 68 (d) 71 (a) 12 (b) 11.6
55. In a class of 60 students, 40% are girls. (c) 10 (d) 14.4
The average weight of the whole class is 59. In a class of 80 students, the ratio of the
59.2 kg and the average weight of the urban to the rural is 5 : 3. In a test, the
girls is 55 kg. What is the average weight average score of the rural students is 40%

r
of the boys? more than that of the urban students. If
60 Nk=kksa dh ,d d{kk esa 40» yM+fd;k¡ gSaA iwjh

si
the average score of all the students is
d{kk dk vkSlr otu 59-2 fdxzk gS vkSj yM+fd;ksa 69, then what is the average score of the

Kkr djsaA an by
dk vkSlr otu 55 fdxzk gSA yM+dksa dk vkSlr otu rural students?
80 Nk=kksa dh ,d d{kk esa] 'kgjh vkSj xzkeh.k dk

n
SSC CGL 12 June 2019 (Afternoon) vuqikr 5%3 gSA fdlh ijh{kk esa] xzkeh.k Nk=kksa ds
(a) 63 kg (b) 60 kg vkSlr vad 'kgjh Nk=kksa ds vkSlr vad ls 40» vfèkd
(c) 61 kg
ja (d) 62 kg FksA ;fn lHkh Nk=kksa ds vkSlr vad 69 gSa] rks xzke
R s
56. The average weight of 8 gold cons is 20 Nk=kksa ds vkSlr vad Kkr djsaA
a th

gram per coin. The average weight of 12

SSC CHSL 3 July 2019 (Evening)
coins of silver is 35 gram per coin. What
is the average weight per coin for 2 (a) 80 (b) 76
coins? (c) 92 (d) 84
ty a

8 lksus ds flDdksa dk vkSlr 20 xzke izfr flDdk

60. The number of students in section A and
gSA pk¡nh ds 12 flDdksa dk vkSlr Hkkj 35 xzke izfr section B of the class are 40 and 52
di M

flDdk gSA 2 flDds ds fy, izfr flDdk vkSlr Hkkj respectively. The average score in
fdruk gS\ mathematics of all the students is 75. If
SSC MTS 2 August 2019 (Afternoon) the average score of the students in A is
20%, more than that of students in B,
(a) 25 g (b) 29 g
then what is the average score of students
(c) 21 g (d) 31 g in B?
57. In a class of 80 students, 60% participate
in games and the rest do not. The average d{kkA vkSj d{kkB ds Nk=kksa dh la[;k Øe'k% 40
weight of the former group is 5% more vkSj 52 gSA lHkh Nk=kksa ds xf.kr esa vkSlr Ldksj 7
than that of the latter. If the average gSA ;fnA esa Nk=kksa dk vkSlrB vad esa Nk=kksa dh
1
weight of all the students is 51 kg, then rqyuk esa 20» gS] rks
B esa Nk=kksa dk vkSlr Ldksj
2 D;k gS\
what is the average weight (in kg) of the
A

former group? SSC CGL 2019 Tier II (16/11/2020)

80 Nk=kksa dh ,d d{kk esa 60» [ksyksa esa Hkkx ysrs
(a)gSa
65 (b) 63
rFkk 'ks"k [ksyksa esa Hkkx ugha ysrs gSaA igys lewg dk
(c) 71 (d) 69
vkSlr otu nwljs lewg ds vkSlr otu ls 5» vfèkd 61. The average score in Mathematics of 90
1 students of section A and B of class IX
gSA ;fn lHkh Nk=kksa dk vkSlr 51otu fdxzk gS] was 63. The number of students in A were
2
rks igys lewg dk vkSlr otu Kkr djsaA 10 more than those in B. The average
(a) 57.6 (b) 54.5 score of students in A was 30% more than
that of students in B. The average score
(c) 60 (d) 52.5
of students in B is :

[8]
 d{kk IX ds lsD'ku A vkSj B ds 90 Nk=kksa dk students is 63, then what is the average
xf.kr esa vkSlr Ldksj 63 gSA
A esa Nk=kksa dh la[;k score of the girls in mathematics?
B ls 10 vf/d FkhA A esa Nk=kksa dk vkSlrB vad ,d d{kk esa 96 Nk=k gSa] ftuesa ls yM+fd;ksa dh
ds Nk=kksa dh rqyuk esa 30» vf/dB FkkA
esa Nk=kksa la[;k yM+dksa dh la[;k ls 40» vf/d gSA yM+dksa
dk vkSlr vad gS % dk xf.kr esa vkSlr izkIrkad yM+fd;ksa ds vkSlr izkIrkad
SSC CGL 2019 Tier II (15/11/2020) ls 40» vf/d gSA ;fn xf.kr esa lHkh Nk=kksa dk
(a) 60 (b) 54 vkSlr izkIrkad 63 gS] rks xf.kr esa yM+fd;ksa dk vkSlr
(c) 50 (d) 56 izkIrkad Kkr djsaA
62. The total number of students in section SSC MTS 22 August 2019 (Evening)
A and B of a class is 110. The number of
(a) 51 (b) 54
students in section A is 10 more than
that of section B. The average score of the (c) 55 (d) 57
students in B, in a test is 20% more than 65. In a class, the number of girls is 60%
that of students in A. If the average score more than that of boys. the average
of all the students in the class is 72, then weight of the boys is 2.6 kg more than
what is the average score of the students that of girls. If the average weight of all

r
in A? the boys and girls is 50 kg, then find the
fdlh d{kk ds [kaMA vkSj B ds Nk=kksa dh dqy

si
average weight (in kg) of girls?
la[;k 110 gSA [kaM
A esa Nk=kksa dh la[;kB [kaM
ds ,d d{kk esa] yM+fd;ksa dh la[;k yM+dksa dh la[;k
an by
Nk=kksa dh la[;k ls 10 vf/d gSA fdlh ijh{kk
ds Nk=kksa ds vkSlr izkIrkaad
B esa
A ds Nk=kksa ds vkSlr
ls 60» vf/d gSA yM+fd;ksa dh rqyuk esa yM+dksa dk
vkSlr otu 2-6 fdxzk vf/d gSA ;fn lHkh yM+dksa

n
izkIrkad ls 20» vf/d gSA ;fn lHkh Nk=kksa dk vkSlr vkSj yM+fd;ksa dk vkSlr otu 50 fdxzk gS] rks
izkIrkad 72 gS] A rksds Nk=kksa dk vkSlr izkIrkad yM+fd;ksa dk vkSlr otu (fdxzk esa) fdruk gS\
Kkr djsaA
ja
R s
(a) 48.8 (b) 49.2
SSC CGL 7 June 2019 (Afternoon) (c) 49 (d) 48
a th

(a) 66 (b) 68 66. In a class of 100 students, the average

(c) 63 (d) 70 weight is 30 kg. If the average weight of
63. The total number of students in class A the girls is 24 kg and that of the boys is
ty a

and B is 96. The number of students in 32 kg, then what is the number of girls
A is 40% more than that in B. The in the class?
di M

average weight (in kg) of the students in

100 Nk=kksa dh ,d d{kk esa] vkSlr otu 30 fdxzk
B is 50% more than that of the students
in A. If the average weight of all the gSA ;fn yM+fd;ksa dk vkSlr otu 24 fdxzk gS vkSj
students in A and B taken together is 58 yM+dksa dk 32 fdxzk gS] rks d{kk esa yM+fd;ksa d
kg, then what is the average weight of the la[;k D;k gS\
students in B?
(a) 25 (b) 26
d{kkA vkSj B ds Nk=kksa dh dqy la[;k 96A gSA (c) 27 (d) 28
ds Nk=kksa dh la[;k
B ds Nk=kksa ls 40» vf/d gSA
B 67. Rita buys 5 sarees at an average cost of
d{kk ds Nk=kksa ds vkSlrAotu
ds Nk=kksa ds vkSlr ` 2250. If she buys three more sarees at
otu ls 50» vf/d gSA ;fn A vkSj A nksuksa ds an average cost of ` 2750, what will be
Nk=kksa dk dqy vkSlr otu 58 fdyksxzke BgS] rks the average (in `) of all the sarees she
ds Nk=kksa dk vkSlr otu Kkr djsaA buys?
A

SSC CHSL 2 July 2019 (Evening) jhrk us` 2250 esa vkSlr ewY; ls 5 lkfM+;ka •jhnhA
(a) 72 kg (b) 60 kg ;fn mlus rhu vkSj lkfM+;ka
` 2750 ds vkSlr ewY;
(c) 48 kg (d) 66 kg ls •jhnh rks lHkh lkfM+;ksa dk vkSlr `ewY;
esa) (
64. There are 96 students in a class, out of D;k gksxk\
which the number of girls is 40% more
(a) 2437.5
than that of the boys. the average score
in mathematics of the boys is 40% more (b) 2500
than the average score of girls. If the (c) 2450
average score in mathematics of all the (d) 2332.5

[9]
 ,d nqdkunkj rhu oLrqvksa
X, Y vkSj Z dks cspus
BOWLING AVERAGE BASED ij Øe'k% 21»] 19» vkSj 3» dh gkfu gksrh gSA
QUESTIONS ;fn X vkSjY ij dqy 20-66» rFkk Y vkSjZ ij
dqy 11» dh gkfu gqbZ rks rhuksa oLrqvksa ij gqbZ dq
68. Average run per wicket of a bowler is
11.5. In his next inning bowler took 5 gkfu » Kkr djsaA
wickets and conceded 40 run, thereby he (a) 13.12% (b) 16.16%
reduced his bowling average by 0.5. Find (c) 18.14% (d) 19.27%
the total number of wickets. 72. A shopkeeper sells three items X, Y and
,d xsanckt dk vkSlr ju çfr fodsV 11-5 gksrk gSA Z and incurs a profit of 16%, 19% and
viuh vxyh ikjh esa xsanckt us 5 fodsV fy, vkSj 28% respectively. The overall profit %
40 ju fn,] ftlls mlus vius xsanckth vkSlr esa selling X and Y items is 17% and that of
0-5 dh deh dhA fodsVksa dh dqy la[;k Kkr dhft,A Y and Z items is 22.25%. Find the overall
profit % on selling the three items?
(a) 25 (b) 35
(c) 24 (d) 23 ,d nqdkunkj rhu oLrqvksa
X, Y vkSj Z dks csprk
69. A cricketer whose bowling average is 12.4 gS vkSj mls Øe'k% 16»] 19» vkSj 28» dk ykHk

r
runs per wicket takes 5 wickets for 26 gksrk gSA ;fn
X vkSj Y ij dqy 17» rFkk Y vkSj

si
runs and thereby decreases his average by
Z ij dqy 22-25» dk ykHk gqvk gks rks rhuksa oLrqvksa
0.4 . Find total runs scored by him ?
ij gqbZ dqy ykHk Kkr djsaA
an by
,d fØdsVj ftldk xsanckth vkSlr 12-4 ju çfr
fodsV gS] 26 ju nsdj 5 fodsV ysrk gS vkSj bl
(a) 18.74% (b) 16.24%

n
(c) 20.25% (d) 13.24%
rjg mldk vkSlr 0-4 de gks tkrk gSA mlds }kjk
73. Two types of sugar worth ` 42 per kg and
cuk, x, dqy ju Kkr dhft,\ ` 46 per kg are mixed together with a
ja
R s
(a) 2500 (b) 1050 3rd variety of sugar in the ratio 3 : 3 : 9.
(c) 2400 (d) 1080 If the mixture is worth ` 47 per kg ,then
a th

the price of 3rd variety sugar per kg?

MISCELLANEOUS ` 42 izfr fdxzk vkSj
` 46 izfr fdxzk ds nks izdkj
ds phfu;ksa dks ,d rhljs izdkj ds phuh ds lkFk
70. If a man sells a pen at 21% profit and
ty a

pencil at 48% profit, he earns ` 1890 as vuqikr 3%3 %9 esa fefJr fd;k x;kA ;fn ifj.kkeh
21 feJ.k dk ewY;` 47 izfr fdxzk gS rks rhljs izdkj
di M

profit. But if he sells the pen at % ds phuh dk izfr fdxzk ewY; D;k gS\
4
profit and pencil at 15% loss then he (a) 45 (b) 49
bears no profit no loss. Find the cost (c) 44 (d) 50
price of the pen and pencil ?
74. A shopkeeper mixes 3 varieties of rice
;fn ,d O;fDr 1 isu dks 21» ij csprk gS rks costing ` 20/kg , ` 24/kg and ` 30/kg and
` 1890 dk ykHk dekrk gSA ysfdu ;fn og isu dks sells the mixture at a profit of 10% at
21 ` 27.5. How many kg of the 2nd variety
% ykHk vkSj isafly dks 15» gkfu ij csps rks will be in the mixture if 2kg of the 3rd
4
mls u rks ykHk gksxk u gkfuA isu vkSj isafly dk Ø; variety is there in the mixture?
ewY; Kkr djsaA ,d nqdkunkj pkoy dh rhu fdLeksa` 20 izfr fdxzk]
` 24 izfr fdxzk vkSj ` 30 izfr fdxzk dk feJ.k
A

(a) 10000, 4200

(b) 4000, 1400 djrk gS vkSj feJ.k dks 10» ds ykHk ij ` 27-5
(c) 5000, 1750
izfr fdxzk ij csprk gSA ;fn feJ.k esa rhljh fdLe
(d) 6000, 2100
71. A shopkeeper sells 3 items X, Y and Z
ds 2 fdxzk- pkoy gS rks nwljh fdLe ds fdrus fdxzk-
incurs a loss of 21%, 19% and 3% pkoy feJ.k esa gksaxs\
respectively. The overall loss % on selling (a) 1
X and Y items is 20.66% and that of Y (b) 3
and Z items is 11%. Find the overall (c) 5
loss% on selling three items?
(d) 6

[ 10 ]
 Answer Key
1. (c) 2.(b) 3. (a) 4. (a) 5. (a) 6. (c) 7. (b) 8. (c) 9. (a) 10. (a)

11.(d) 12.(a) 13.(d) 14.(a) 15.(c) 16.(c) 17.(d) 18.(a) 19.(c) 20.(b)

21.(b) 22.(b) 23.(c) 24.(d) 25.(d) 26.(c) 27.(b) 28.(d) 29.(a) 30.(a)

31.(a) 32.(b) 33.(c) 34.(b) 35.(a) 36.(b) 37.(b) 38.(a) 39.(c) 40.(a)

41. (c) 42.(d) 43. (b) 44. (c) 45. (c) 46. (a) 47. (c) 48. (d) 49. (a) 50. (a)

51.(c) 52.(c) 53.(a) 54.(b) 55.(d) 56.(b) 57.(d) 58. (b) 59. (d) 60. (d)

61. (b) 62.(a) 63. (a) 64. (b) 65. (c) 66.(a) 67.(a) 68.(b) 69.(d) 70.(c)

71. (c) 72.(a) 73. (b) 74. (c)

[ 11 ]