Aptitude-Upc Question Bank
Aptitude-Upc Question Bank
Year/Sem: I/I
What is the least number that should be subtracted from 3592 to obtain a
number exactly divisible by 19?
a) 0
31 CO107.1
b) 1
c) 2
d) 3
If 78Q928R is divisible by 6, then what are the values of Q and R?
a) Q=1 AND R=2
32 CO107.1
b) Q=3 AND R=3
c) Q=2 AND R=3
d) Q=1 AND R=4
How many three digits numbers can be formed using 2, 3, 4 and 5 with none of
the digits being repeated?
a) 45
33 CO107.1
b) 20
c) 10
d) 24
The largest four-digit number which is a multiple of 8, 10,12 and 15 is:
a) 9720
34 b) 9600 CO107.1
c) 9840
d) 9960
What is the largest power of 20 contained in 100 factorials?
a) 24
35 b) 56 CO107.1
c) 2
d) 1
Sum of the squares of the 3 consecutive natural numbers is 677. Determine the
largest number of the three.
a) 15
36 CO107.1
b) 16
c) 18
d) 19
What is the value of square of 71/2, when it is expressed as a mixed
1
a) 49 2
1
37 b) 494 CO107.1
1
c) 564
1
d) 144
What is the unit digit of 1!+2!+3!+……..+100!
a) 12
38 b) 13 CO107.1
c) 10
d) 15
The difference between the squares of two consecutive odd integers is always
divisible by:
a) 3
39 b) 6 CO107.1
c) 7
d) 8
S.No Questions CO
Mapping
1 Find the least number which when divided by 4,6,8,12,16 will leave in each case a
remainder 2?
a) 52
CO107.2
b) 50
c) 78
d) None of these
2 Find the least number of five digit which is divisible by 16, 18, 24 and 30.
a) 10000
b) 10016 CO107.2
c) 10080
d) 10008
3 Look at this series: U32, V29, __, X23, Y20, ... What number should fill the
blank? CO107.2
a) W26
b) W17
c) Z17
d) Z26
4 Between 200 and 2000 how many terms are multiples of 11
a) 160
b) 178 CO107.2
c) 163
d) 184
5 21,25,33,49,81____?
a) 145
CO107.2
b) 129
c) 113
d) 97
6 How many 4 digit numbers are multiples of 9
a) 100
b) 1000 CO107.2
c) 10
d) 10000
7 What is the value of if (ab+bc+ca) = 131,
=138 and abc = 280.
a) 17:43
CO107.2
b) 20:49
c) 18:41
d) 15:43
8 If , find the value of 3x-5
Options
a) 13
b) 19 CO107.2
c) 16
d) 10
9
The value of is :
a) 24.25 CO107.2
b) 23.75
c) 16.21
d) 15.01
10
The value of is:
a)
CO107.2
b)
c) 1
d) 2
11 What should came at place of (?) marks in the following question:
a) 4 CO107.2
b) 7
c) 6
d) 5
12
Find the value of
a)
b) CO107.2
c)
d) 1
13 If the LCM and HCF of three numbers 48, 144 and p are 720 and 24 respectively,
find the least value of p.
Options:
a) 180 CO107.2
b) 192
c) 120
d) 360
14
Simplify:
a)
CO107.2
b)
c)
d)
15 A number 452p36 is such that it is divisible by 36. What can the value of p^2 be?
Options:
a) 36
b) 25 CO107.2
c) 49
d) 16
16
a) 2
b) 4
c) 5 CO107.2
d) 3
19 What should come in place of a question mark?
=?
a) (2/13)^12 CO107.2
b) (⅔)^11
c) (⅔)^9
d) (⅔)^10
20 What approximate value will come in place of the question mark (?) in the
following question?
a) 34 CO107.2
b) 32
c) 33
d) 31
21 Five bells toll at intervals of 4,5,12,20 and 25seconds respectively. If they toll
together at the same time at 7pm,then at what time will they toll together again for
the fourth time (excluding 7pm)? CO107.2
a) 7:10pm
b) 7:30pm
c) 7:00pm
d) 7:20pm
22 The geometric mean of 12, 18, 25, 60, 75 is
a) 30
b) 20 CO107.2
c) 15
d) 60
23 What is the value of the expression: 5 * (2 + 16)/2 - 4 * (2+2) + ¼ of 16?
a) 26
b) 13 CO107.2
c) 34
d) 33
24 Three pieces of timber 42m, 49m and 63m long have to be divided into planks of
the same length. What is the greatest possible length of each plank?
a) 4m
CO107.2
b) 7m
c) 9m
d) 12m
25 Find the missing term in the series. 2, 3, 7, 8, 13, 14, ….
a) 24
b) 21 CO107.2
c) 18
d) 20
26 Find the next number in the series. 1, 4, 18, 48, …...
CO107.2
a) 120
b) 64
c) 100
d) 96
27 A1Z, B2Y,C3X, ?
a) D4A
b) D4B CO107.2
c) D4W
d) D4U
28 Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
a) 20
b) 22 CO107.2
c) 23
d) 26
29 42,40,38,35,33,31,28,?,?
a) 25 22
b) 26 23 CO107.2
c) 26 24
d) 25 23
30 Look at this series: F2, __, D8, C16, B32, ... What number should fill the blank?
a) A16
b) G4 CO107.2
c) E4
d) E3
“John is in football team” is written as “sit pit jit hit lit”. “Basketball and football
team have eleven players” is written as “mit kit pit nit bit git hit”. “Steve is in
Basketball team” is written as “bit jit fit hit sit”. How is “Steve is in football
team,” written as
41 CO 107.3
a) sit jit lit bit hit
b) sit rit lit pit hit
c) fit sit jit pit hit
d) hit rit lit pit bit
Determine the relationship between the first two words and then the second pair
such that it is analogous to the first pair.
PROGRAM : QTRKWGT :: APPLIANCE :
42 a) BRSPNGUKO CO 107.3
b) BRSQNGUKN
c) BRSQNGUKO
d) BRSPNGUKN
In each of the five pairs of letter-clusters, the letter in the second term are a
rearranged/ transformed form of the letters has been put together in a particular
pattern. In which two pairs, has the transformation been done in the same way?
A. PLANT: PLZMG
B. MANGO: MAMTL
C. BLACK: BLBDP
43 CO 107.3
D. TABLE: ATLBE
E. CHEER: HCREE
a) D and A
b) C and D
c) B and C
d) A and B
In a certain code, “ENCRYPT” is coded as “CLAPWNR”, then how would
“DECRYPT” be coded in the same language?
a) BCAPWNR
44 CO 107.3
b) ACAPWNR
c) CAAPWNR
d) BAAPWNR
In the following question, a portion from the Problem Figure is missing.
Complete the missing portion by selecting the correct option from the Response
Figure. (A), (B), (C), (D) and (E).
45 CO 107.3
a) (A)
b) (D)
c) (B)
d) (E)
In the following question, a portion from the Problem Figure is missing.
Complete the missing portion by selecting the correct option from the Response
46 CO 107.3
Figure. (A), (B), (C), (D) and (E).
a) E
b) B
c) A
d) D
In the following question, a portion from the Problem Figure is missing.
Complete the missing portion by selecting the correct option from the Response
Figure. (A), (B), (C), (D) and (E).
47 CO 107.3
a) B
b) D
c) A
d) E
If 'REASON' is coded as 5 and 'BELIEVED' as 7, what is the code number for
'GOVERNMENT'?
a) 10
48 CO 107.3
b) 6
c) 9
d) 8
If CONTRIBUTE is written as ETBUIRNTOC, which letter will be in the sixth
place when counted from the left if POPULARISE is written in that code?
a) L
49 CO 107.3
b) A
c) I
d) D
In a certain code ‘HIT BIT NIT’ means ‘GIT CIT MIT’; ‘SIT PIT MIT’ means
‘RIT QIT LIT’ and ‘FIT ZIT PIT’ means ‘EIT AIT OIT’. What does ‘DIT JIT
KIT’ stand for in that code language?
50 a) CIT KIT JIT CO 107.3
b) BIT CIT JIT
c) RIT LIT PIT
d) LIT RIT MIT
UNIT-IV - RATIO AND PROPORTION
Kamal was 4 times as old as his son 8 years ago. After 8 years, Kamal will be
twice as old as his son. Find out the present age of Kamal.
a) 40 years
6 CO107.4
b) 38 years
c) 42 years
d) 36 years
A boy is 17 years old and his sister is twice as old. When the boy is 23 years
old what will be the age of his sister?
a) 42
7 CO107.4
b) 46
c) 48
d) 40
Lisa can do a piece of work in 16 days. Paul is 60% more efficient than Lisa.
The number of days taken by Paul to do the same piece of work is:
a) 9 days
8 CO107.4
b) 12 days
c) 7 days
d) 10 days
A mixture of 40 liters contains wine and water in the ratio of 3:1. How much
water must be added to the mixture so that the ratio of wine and water is 5:2 ?
a) 2 liters
9 CO107.4
b) 5 liters
c) 4 liters
d) 3 liters
28 workers can build a piece of machinery in 50 days. How many workers are
needed to build the machinery part in 35 days?
a) 49
10 CO107.4
b) 45
c) 40
d) 35
Two numbers are in the ratio 3:17, if the first is 6, what is the other?
a) 42
11 b) 51 CO107.4
c) 68
d) 34
Pipe x can fill the tank in 20 minutes while pipe Y can empty the tank in 60
minutes. In how much time the tank will get full if pipes are opened
simultaneously?
12 a) 75 minutes CO107.4
b) 30 minutes
c) 40 minutes
d) 80 minutes
Find the value of x. 7 : 14 :: x : 70
a) 40
13 b) 35 CO107.4
c) 30
d) 42
A pump can fill a tank in 3hrs. however, due to a leak it takes 30minmore. how
much time would it take for the whole water to be drained out from the tank
because of the leak?
14 a) 21 hours CO107.4
b) 24 hours
c) 18 hours
d) None
15 what would be the result if the ratio 5:8 is multiplied by the ratio 40:3? CO107.4
a) 25.5
b) 25.24
c) 3.25
d) 8.3
A is two years older than B who is twice as old as C. If the total of the ages of
A, B and C be 27, then how old is B?
a) 7
16 b) 8 CO107.4
c) 9
d) 10
A can do a bit of work in 25 days which B can complete in 20 days. Both together
labor for 5 days and afterward A leaves off. How long will B take to complete
the remaining work?
17 a) 7 days CO107.4
b) 8 days
c) 9 days
d) 11 days
Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had
partnered for 14 months, 8 months and 7 months respectively. What was the
ratio of their investments?
18 a) 5: 7: 8 CO107.4
b) 20: 49: 64
c) 38: 28: 21
d) None of these
Two numbers are respectively 20% and 50% more than a third number. The
ratio of the two numbers is:
a) 2: 5
19 CO107.4
b) 3: 5
c) 4: 5
d) 6: 7
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg
to produce a mixture worth Rs. 6.30 a kg.
a) 1: 3 CO107.4
20
b) 2: 3
c) 3: 4
d) 4: 5
4 men and 5 boys can do a piece of work in 20 days while 5 men and 4 boys
can do the same work in 16 days. In how many days can 4 men and 3 boys do
the same work?
21 a) 10 days CO107.4
b) 15 days
c) 20 days
d) 25 days
A & B can make paintings in 6 days, B & C can make those paintings in 10
days. If A, B & C together can finish the work in 4 days, then A & C together
22 will do it in ________ days. CO107.4
a) 4 (2/7) days
b) 1/ 8 days
c) 2 (2/5) days
d) 6 (3/ 8) days
6 men can pack 12 boxes in 7 days by working for 7 hours a day. In how many
days can 14 men pack 18 boxes if they work for 9 hours a day?
a) 3.5 days
23 CO107.4
b) 5 days
c) 7.5 days
d) 12 days
Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively.
Both the pipes are opened together but after 4 minutes, pipe A is turned off.
What is the total time required to fill the tank?
24 a) 10 min. 20 sec. CO107.4
b) 11 min. 45 sec.
c) 12 min. 30 sec.
d) 14 min. 40 sec.
One year ago, the ratio of Harry and Peter age’s was 5: 6 respectively. After 4
years, this ratio becomes 6: 7. How old is Peter?
a) 25 years
25 CO107.4
b) 26 years
c) 31 years
d) 35 years
John, Tyson and Mike started a business by investing Rs.1,00,000, Rs.
1,50,000 and Rs. 1,75,000 respectively. Find the share of Mike, out of an
annual profit of Rs. 46,000.
26 a) Rs. 15941. 93 CO107.4
b) Rs. 16943. 59
c) Rs. 18941. 17
d) Rs. 19971. 03
Smith and Kate started a business investing Rs. 84,000 and Rs. 28,000
respectively. In what ratio the profit earned after 2 years be divided between
Smith and Kate respectively?
27 a) 2 : 3 CO107.4
b) 3 : 1
c) 13 : 3
d) None of these
If Rs 1050 is divided into three parts, proportional to (1 / 3): (3 / 4) : ( 4 / 6),
then what is the first part?
a) 500
28 CO107.4
b) 300
c) 200
d) 100
A man, his wife and daughter worked in a graden. The man worked for 3 days,
his wife for 2 days and daughter for 4 days. The ratio of daily wages for man to
women is 5 : 4 and the ratio for man to daughter is 5 : 3. If their total earnings
29 CO107.4
is mounted to Rs. 105, then find the daily wage of the daughter.
a) Rs. 15
b) Rs. 12
c) Rs. 10
d) Rs. 9
Pooja is twice as efficient as Aarti and takes 90 days less than Aarti to
complete the job. Find the time in which they can finish the job together.
a) 30 days
30 CO107.4
b) 45 days
c) 60 days
d) 90 days
Ronald and Elan are working on an assignment. Ronald takes 6 hours to type
32 pages on a computer, while Elan takes 5 hours to type 40 pages. How much
time will they take working together on two different computers to type an
assignment of 110 pages?
31 CO107.4
a) 7 hours 30 minutes
b) 8 hours
c) 8 hours 15 minutes
d) 8 hours 25 minutes
There are 5 pipes working in tandem which can fill a tank of 1,800 litre
capacity in 40 minutes. Out of these 5 pipes, 3 are used to fill liquid in the tank.
Each of these 3 pipes can individually fill the tank at the rate of 30 litre/min, 45
litre/min and 15 litre/min respectively. The other two pipes are used to empty
the tank - one of which can empty it at the rate of 30 litre/min. What is the rate
32 (litre/min) at which the other pipe alone can empty the tank, considering that CO107.4
the tank is full?
a) 15
b) 30
c) 45
d) 60
If two pipes function simultaneously, the reservoir will be filled in 24 hrs. One
pipe fills the reservoir 20 hours faster than the other. How many hours does it
take for the second pipe to fill the reservoir?
33 a) 12 hrs CO107.4
b) 30 hrs
c) 40 hrs
d) 60 hrs
The average age of 10 member of a dance group is 12. Three members of age 9
, 10, 11 years leave the group . A year later three new member of age 11, 12,
13 years respectively join the group. What is the average age of group now?
a) 11 years
34 CO107.4
b) 12.6 years
c) 13.3 years
d) 14 years
e) None of the above
How many litres of a 90% solution of concentrated acid needs to be mixed
with a 75% solution of concentrated acid to get a 30 l solution of 78%
35 CO107.4
concentrated acid?
a) 24 L
b) 22.5 L
c) 6 L
d) 17.5 L
Akshay, Bimal and Chirag work on a construction project. All of them work
with equal efficiency and can together complete the project in 20 days. If only
2 of them work on it at a time and all of them spend equal days to complete the
project, how many days would each one of them work for, to complete the
36 work? CO107.4
a) 10
b) 15
c) 30
d) 20
A wholesaler wants to combine two varieties of rice R1 and R2 to make a new
variety R3. To do so, he buys R1 at Rs. 40 per kg and R2 at Rs. 31 per kg.In
what ratio should he mix R1 and R2 such that the new variety R3 cost Rs.37
per kg?
37 a) 2:1 CO107.4
b) 1:2
c) 3:1
d) 1:3
A can do a certain work in the same time in which B and C together can do it.
If A and B together could do it in 10 days and C alone in 50 days, then B alone
could do it in how many days?
38 a) 15 days CO107.4
b) 20 days
c) 25 days
d) 30 days
A total profit of Rs. 36,000is to be distributed among Rajesh, Salesh and Rajeev
such that Rajesh: Salesh :: S : 4 and Salesh : Rajeev :: 8: 9. What is the share of
Rajeev?
39 a) Rs. 12,000 CO107.4
b) Rs. 24,000
c) Rs. 10,000
d) Rs. 20,000
Ram is five years elder to his youngest sibling Shreya. Shreya is two years
younger than her brother Ritesh. Ritesh is 13 years old and is Ram’s brother.
How old will Ram be in two years from now?
40 a) 16 CO107.4
b) 18
c) 20
d) 15
A computer typist types a page with 20 lines in 10 minutes, but he leaves 8%
margin on the left side of the page. Now he has to type 23 pages with 40 more
margin than before. How much time is now required to type these 23 pages?
41 a) 7 ½ hours CO107.4
b) 23 ½ hours
c) 7 2⁄3 hours
d) 3 ½ hours
The income of a and b are in the ratio 6:5 and their expenditure are in the ratio
5:3. if each saves rs.3500 then what is the income of b?
a) rs.3000
42 CO107.4
b) rs.4000
c) rs.5000
d) rs.6000
Five years ago, Pam’s age was three times of Sarah’s age. Five years hence,
Pam’s age will be twice Sarah’s age. After how many years from now will
their combined age be 80 years?
43 a) 12 CO107.4
b) 15
c) 14
d) 13
8 litres are drawn from a cask full of wine and is then filled with water. This
operation is performed three more times. The ratio of the quantity of wine now
left in cask to that of water is 16: 65. How much wine did the cask hold
originally?
48 CO107.4
a) 18 litres
b) 24 litres
c) 32 litres
d) 42 litres
A and B entered into partnership with capitals in the ratio 4 : 5. After 3
months, A withdrew of his capital and B withdrew of his capital. The gain
at the end of 10 months was Rs. 760. A's share in this profit is:
49 a) Rs. 330 CO107.4
b) Rs. 360
c) Rs. 380
d) Rs. 430
Siva and Balan can do a piece of work in 70 and 60 days respectively. They
began the work together, but Siva leaves after some days and Balan finished
the remaining work in 47 days. After how many days did Siva leave?
50 a) 14 days CO107.4
b) 16 days
c) 18 days
d) 7 days
UNIT-V - PERCENTAGE
Find the minimum number of complete years in which a sum of money put
at20% compound interest will be more than doubled.
a) 5
33 CO107.5
b) 4
c) 2
d) 3
The difference in the simple interest and compound interest on a principal
amount of rs.10,00,000 in 3 years at 4% per annum is
a) Rs. 4000 CO107.5
34
b) Rs. 5000
c) Rs. 4864
d) Rs. 4500
The price of onions soared higher by 15%. Shiny reduced the consumption of
onions for this reason by10percentage. By how much % will her expense for
onion increase or decrease?
35 a) 3.5% increase CO107.5
b) 3.5% decrease
c) 26.5% increase
d) 26.5% decrease
300 apples are distributed equally among a certain number of students. Had
there been 10 more students, each would have received one apple less. Find the
number of students.
36 a) 70 CO107.5
b) 90
c) 50
d) 40
Atul bought a machine for Rs.4, 50,000 and sold it to Irrfan at a profit. Irrfan
later sold the machine to Danish at a loss of 10% for Rs. 4, 95,000. The profit
earned by Atul is:
37 a) 23% CO107.5
b) 21%
c) 25%
d) 22.22%
Ankush bought (x+2) apples at the rate of Rs. 12 each. One apple got rotten
during transportation and he sold all the remaining apples for Rs. 300. If the
percentage profit made by Ankush in the whole transaction is 25%, find the
number of apples sold by Ankush.
38 CO107.5
a) 19
b) 15
c) 10
d) 12
Leela bought 18 chair each at Rs.700 and sold them all for Rs18,900. What
was the percentage of her profit or lost?
39 a) 50% CO107.5
b) 60%
c) 75%
d) 38%
A dealer makes a profit of 25% even after given a 20% discount on the
marked price of a television. If he makes a profit of Rs.5000 on the sale of the
television, then the marked price is,
40 a) Rs .29,125 CO107.5
b) Rs. 31,250
c) Rs. 27,250
d) Rs. 30,500
A trader bought 40 meters cloth at rs.25 per meter. At what rate should he sell
it so far as to gain rs. 200
a) 40
41 CO107.5
b) 30
c) 35
d) 45
A book store offers a 10 % discount on all the books sold plus an additional
discount of 5% on the total bill if the total bill after the initial discount is more
than or equal to Rs. 1000. Dilshan bought 3 books worth Rs. 450, Rs. 520 and
Rs. 250 respectively. How much money was Dilshan able to save as a result of
the various discounts offered by the store?
42 CO107.5
a) Rs. 102
b) Rs. 176.9
c) Rs. 61
d) Rs. 183
e) None of the above
Rahul takes a sum of Rs. 2310 as a loan. He has to repay this in two equal
annual installments. If the rate of interest is 10% compounded annually, find
the value of each instalment.
43 a) Rs.1210 CO107.5
b) Rs. 1000
c) Rs. 1331
d) Rs. 1100
An article is marked 36% above its cost price. A discount of 10% is offered
on the marked price. Later on, the article was sold by giving another discount
of Rs.12.60. If there is a profit of 15.4%, the marked price (in Rs.) of the
article is:
44 CO107.5
a) 245
b) 243
c) 220.30
d) 244.80
Mani deposited some money in a bank and got an interest of Rs. 560 and Rs.
600 in 3rd and 4th year respectively. What is the rate of interest offered by the
bank?
45 a) 7.14% CO107.5
b) 5.14%
c) 6.25%
d) 8.33%
Boy scored 90 marks in his mid-term exam and 105 in his end -term exam. If
46 the maximum marks in both the examinations are 150, then find the increase in CO107.5
his marks in percentage points.
a) 16.66%
b) 10%
c) 15%
d) 14.28%
In an entrance exam, 550 girls and 550 boys appeared. If 38% of the girls passed
and 32% of the boys passed, find the percentage of failed students?
a) 64.7%
47 CO107.5
b) 60%
c) 72%
d) 80%
A bank offers 5% compound interest calculated on half – yearly basis. A
customer deposits rs.1600 each on 1st January and 1st July of a year. At the
end of the year, the amount he would have gained by way of interest is,
48 a) Rs.121 CO107.5
b) Rs.120
c) Rs.123
d) Rs.122
An amount deposited on compound interest becomes Rs 4800 after two years
and Rs 6400 after four years at compound interest per annum. Find the sum.
a) Rs 3600
49 CO107.5
b) Rs 4100
c) Rs 3800
d) Rs 2800
Simple interest on a certain sum of money for 3 years at 8% per annum is half
the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum
placed on simple interest is:
50 a) Rs. 1550 CO107.5
b) Rs. 1650
c) Rs. 1750
d) Rs. 2000