General Knowledge Sample Paper - 2

SECTION-III : GENERAL TEST 9. India is the largest producer and 18. About how much of the world’s
exporter of land area is tropical rainforest?
1. Which of the following are
(a) Cotton (b) Copper (a) 2 percent
consumer semi-durable goods?
(a) Cars and television sets (c) Tea (d) Mica (b) 7 percent
(b) Milk and Milk products 10. From which part of Opium plant (c) 10 percent
(c) Foodgrains and other food we get morphine?
(d) 15 percent
products (a) Leaves (b) Stem
19. “Life Divine” is a book written by
(d) Electrical appliances like fans (c) Bark (d) Fruit coat
11. Glucose is a type of (a) M. K. Gandhi
and electric irons.
2. Other things being equal, a (a) Pentose sugar (b) Rabindranath Tagore
decrease in quantity demanded (b) Hexose sugar (c) S. Radhakrishnan
of a commodity can be caused by (c) Tetrose sugar (d) Shri Aurobindo
(a) a rise in the price of the (d) Diose sugar 20. The boiling point of water decre -
commodity 12. Which of the following is the ases at higher altitudes due to
(b) a rise in the income of the largest Biosphere Reserves of
(a) low temperature
consumer India?
(c) a fall in the price of a (a) Nilgiri (b) low atmospheric pressure
commodity (b) Nandadevi (c) high temperature
(d) a fall in the income of the (c) Sundarbans (d) high atmospheric pressure
consumer (d) Gulf of Mannar 21. The chemical name of “Hypo”
3. In which year were the States 13. ISRO’s Master Control Facility commonly used in photography is
recognized on a linguistic basis? is in (a) Sodium thiosulphate
(a) 1951 (b) 1947 (a) Andhra Pradesh
(c) 1950 (d) 1956 (b) Silver nitrate
(b) Odisha
4. Who has got the power to create (c) Sodium nitrate
(c) Gujarat
All India Services? (d) Karnataka (d) Silver iodide
(a) Supreme Court 14. An object covers distance which 22. With what bio-region is the term
(b) The Parliament is directly proportional to the “Steppe” associated?
(c) Council of Ministers square of the time. Its (a) Grasslands
(d) Prime Minister accelaration is (b) Tropical forests
5. Ravikirti, a jain, who composed (a) increasing
the Aihole Prashasti, was (c) Savanna
(b) decreasing
patronized by (d) Coniferous forests
(c) zero
(a) Pulakeshin (d) constant 23. Grammy Award is given in the
(b) Harsha field of
15. If the horizontal range of a
(c) Pulakeshin ll (a) Acting
projectile is four times its
(d) Kharavela
maximum height, the angle of (b) Music
6. The “Mein Kampf” was written
projection is (c) Singing
by
(a) 30° (b) 45°
(a) Hitler (b) Mussolini (d) Boxing
(c) Bismarck (d) Mazzini 1 1 24. The first woman to get the Bharat
(c) sin–1   (d) tan–1  
7. In the provisional Parliament of 4 4 Ratna Award is
India, how many members were 16. Which of the following metals has (a) Mother Teresa
there? least melting point? (b) Indira Gandhi
(a) 296 (b) 313 (c) Lata Mangeshkar
(a) Gold (b) Silver
(c) 318 (d) 316 (d) Sarojini Naidu
8. Who admits a new State to the (c) Mercury (d) Copper
17. Rainbow is formed due to 25. The President of World Bank is
Union of India?
(a) refraction and dispersion (a) Jim Yong Kim
(a) President
(b) Supreme Court (b) scattering and refraction (b) Christine Lagarde
(c) Prime Minister (c) diffraction and refraction (c) Prema Cariappa
(d) Parliament (d) refraction and reflection (d) Vijay L. Kelkar
Directions (Q . 26-29): Select the (II) In a journey, the importance of 42. In the following question, which
related word/letters/number from the destination is as equal as the one set of letters when
given alternatives. pathway of reaching that sequentially placed at the gaps in
26. Iraq : Dinar :: Korea: ? destination. the given letter series shall
(a) Pound (b) Yen Conclusions: complete it?
(c) Dollar (d) Won (I) Importance of people in life is ab_bc_bb_ _abb_c
27. AOE : ? : : GMA : IUO considerable, as they are our (a) babcb (b) bbaaa
(a) MXI (b) MWS journey mates. (c) aabbc (d) abcbc
(c) MWI (d) MXJ (II) Life teaches us many lessons to 43. I am facing north. I turn left and
28. DeF : Ihg : : wxY : ? face various known and unknown walk 30 m. Then I turn right and
(a) bAZ (b) Baz difficulties. walk 20 m, then I turn left and
(c) BaZ (d) baz (a) Only conclusion II follows walk 10 m and then turning right
29. 81 : 121 : : 49 : ? (b) Conclusion I and II both follow and walk 50 m. Then I turn left
(a) 81 (b) 62 (c) Neither I nor II follow and walk 50 m. In which
(d) Only conclusion I follows direction am I from the starting
(c) 52 (d) 100
37. B is older than C but not as old point?
Directions (Q. 30-32): Select the odd
as D. E is not as old as B. Who is (a) North
word/letters/number/number pair
the oldest of all? (b) South
from the given alternatives. (c) North-west
30. (a) BEH (b) DGJ (a) B (b) E
(c) C (d) D (d) North-east
(c) HKN (d) MNO 44. Raju introduces Yash by saying,
31. (a) 5210 (b) 8432 38. Arrange the given words in the
"He is the husband of the
(c) 8648 (d) 7240 sequence in which they occur in
the dictionary. granddaughter of my
32. (a) 81 (b) 125 grandmother's husband". How is
i. Stable ii. Stranger
(c) 64 (d) 198 Yash related to Raju?
iii. Stability iv. Struggle
Directions (Q. 33-35): A series is given (a) Nephew
(a) iii, ii, i, iv (b) iii, i, ii, iv
with one term missing. Choose the (b) Father
(c) iii, iv, i, ii (d) iv, i, ii, iii
correct alternative from the given ones (c) Brother
39. In a certain code language (d) Brother-in-law
that will complete the series.
"TITANIC" is written as
33. ijk, mno, lmn, pqr, opq,? 45. Identify the diagram that best
"7371835" and "SEMATIC" is
(a) stv (b) suv represents the relationship
written as "6241735". How will
(c) stu (d) stt among the given classes.
"MAINTAIN" be written in that
34. AZ, BY, CX,? Kitchen, Utensils, Glass
code language?
(a) CW (b) DW (a) 41387138 (b) 43187138
(c) DX (d) DY (c) 41837138 (d) 41783138
35. 23, 32, 42, 53, 65, ? 40. In the following qustions, select the (a)
(a) 78 (b) 88 missing number from the given
(c) 58 (d) 98 series.
36. In the following question, two 6 5 4
statements are given each
7 6 5 (b)
followed by two conclusions I
5 7 6
and II. You have to consider the
37 23 ?
statements to be true even if they
seem to be at variance from (a) 10 (b) 12 (c)
commonly known facts. You (c) 13 (d) 14
have to decide which of the given 41. After interchanging + & × and
conclusions, if any follows from 12 &18, which of the following
(d)
the given statements. equations will hold true?
Statements: (a) (9 + 1) × 18 = 60
(I) Life is a journey with few known (b) (18 + 6) × 12 = 90 46. If a mirror is placed on the line
people, few partially known and (c) (12 + 18) × 12 = 72 XY, then which of the answer
(d) (12 + 6) × 18 = 36 figure is the right image of the
mostly strangers.
given figure?
 Question Figure : Question Figure: (a) 4% loss
X (b) 14% profit
(c) 5.5% loss
(d) 20% profit
? ? 53. The mean of marks secured by
60 students in division A of
Answer Figures: class X is 66, 45 students of
Y division B is 62 and that of 75
Answer Figures: students of division C is 60.
(a) (b)
Find the mean of marks of the
students of three divisions of
(a) (b) class X.
(a) 61.8 (b) 62.5
(c) (d) (c) 61.1 (d) 63.9
54. On dividing 221 a 2 b 2 by 13 b 2 ,
(c) (d) 50. A word is represented by only we get :
one set of number as given any (a) 17a 2 (b) 17b2
2
(c) 13a b 2 (d) 13
one of the alternatives. The sets
of numbers given in the 55. A missile travels at 1116 km/h.
47. A piece of paper is folded and
alternatives are represented by How many metres does it travel
punched as shown below in the
question figures. From the given two classes of alphabets as shown in one second?
answer figures, indicate how it in the given two matrices. The (a) 360 metres (b) 368 metres
will appear when opened. column and rows of Matrix-I are (c) 310 metres (d) 348 metres
Question Figures : numbered from 0 to 4 and that 56. If the radius of a circle is
of Matrix-II are numbered from increased by 31% its area
5 to 9. A letter by its column, for increases by :
example, 'M' can be represented (a) 62 percent
by 10, 03 etc. and 'H' can be (b) 31 percent
represented by 55, 78 etc. (c) 35.805 percent
Answer Figures:
Similarly, you have to identify (d) 71.61 percent
the set for the word 'MATHS'. 57. A bank offers 20% compound
(a) (b) Matrix-I Matrix-II interest per half year. A
customer deposits ` 6,000 each
0 1 2 3 4 5 6 7 8 9 on 1st January and 1st July of
0 T S N M E 5 H G I P A
1 M T S N E 6 G H A I P
a year. At the end of the year,
2 S E M T N 7 A I G H I the amount he would have
(c) (d) 3 N M E S T 8 I P H A G gained by way of interest is—
4 E N T S M 9 P A P G H
(a) ` 7680 (b) ` 3840
(a) 03, 59, 11, 78, 43 (c) ` 1920 (d) ` 960
48. Three positions of a cube are (b) 10, 67, 22, 55, 01 58. The third proportional of two
shown below. What will come (c) 22, 75, 00, 66, 21 numbers 4 and 28 is :
opposite to face containing '1'? (d) 44, 88, 23, 98, 20 (a) 52 (b) 56
(c) 84 (d) 196
6 1 2 51. Coefficient ofx2 in 4x3 – 2x2 + 2x – 59. Mummy can bake 75 cakes in 15
4 3 1 3 is: hours, Mummy and Sister
2 6 5 (a) 6 (b) –2 together can bake 120 cakes in
(c) 3 (d) –3 20 hours. How many cakes sister
(a) 2 (b) 3 52. If a merchant offers a discount can bake in 30 hours?
(c) 4 (d) 6 of 40% on the list price, then he (a) 45 (b) 30
49. Which answer figure will makes a loss of 10%. What % (c) 60 (d) 10
profit or % loss will he make if 60. A rice trader buys 20 quintals
complete the pattern in the
he sells at a discount of 20% on of rice for ` 8,580. However,
question figure?
the list price? 22% rice is lost in
 transportation. At what rate Gwalior and Delhi. If sp eed of 2
72. Nirmit can do rd of a job in 18
should he sell to earn 20% Aman is 30 km/hr, what is the 3
profit? speed (in km/hr) of Kapil? days. Kashish is twice as efficient
(a) ` 278.8 per quintal (a) 28 (b) 30 as Nirmit. In how many days will
(b) ` 514.8 per quintal Kashish complete the job?
225 392
(c) ` 660 per quintal (c) (d) 29 27
7 15 (a) (b)
(d) ` 654.2 per quintal 4 2
68. The num ber of trees in a town is
61. What is the equation of the line
17640. If the number of trees 31 13
which has 3/1 and –4/7 as x and (c) (d)
increases annually at the rate of 2 2
y intercept respectively?
5%, how many trees were there Directions (Q. 73-75) : The table given
(a) 8x – 21y = –12
2 years ago? below shows the percentage of literate
(b) 8x + 21y = 14
(c) 8x – 21y = 12 (a) 14000 people in 6 cities. This table also shows
(d) 8x + 21y = –14 (b) 15000 the ratio of males to females among
62. A tetrahedron has 4 vertices. (c) 16000 literate poeple.
How many edges does it have? (d) 19450
(a) 8 (b) 12 69. Average age of team having 12 City % of literate Males
(c) 6 (d) 10 players is 23 years. If the age of People : Females
63. The circumference of a circle is the coach is also included, then
the average age increases by 2 1 80 4 : 5
equal to the perimeter of an
years. What is the age (in years) 2 85 7 : 4
equilateral triangle. If the
of the coach? 3 78 3 : 2
radius of the circle is 14cm
what is the length of the side of (a) 41 4 63 1 : 1
the equilateral triangle? (b) 47 5 92 9 : 7
(a) 88 cm (b) 88/3 cm (c) 49 6 58 2 : 3
(c) 88/3 cm (d) 883 cm (d) 51 % of literate people of any city =
64. If the curved surfa ce area of a 70. The length, breadth and height (Literate people of the city/Total
right circular cone is 10010 sq cm of a cuboid are in the ratio 19 : population of the city) × 100
and its radius is 35 cm, find its 11 : 13. If length is 30 cm more
73. If the total population of city 4 is
volume? than height, then what is the
(a) 6930 cubic cm 600000, then how many literate
volume in (cm 3) of this cuboid?
(b) 13860 cubic cm people are there in city 4?
(c) 3465 cubic cm (a) 480000 (b) 378000
(d) 27720 cubic cm (a) 81510 (c) 468000 (d) 348000
65. sin (A + B) – sin (A – B) is equal (b) 89665 74. Total population of city 6 is
to (c) 195300 200000 and the total population
(a) 2sinAcosB (d) 339625 of city-2 is 220000. What is the
(b) 2cosAcosB 71. An article is listed at ` 2375. A respective ratio of literate males
(c) 2cosAsinB man purchases it at two of city 2 and literate females of
(d) 2sinAsinB successive discounts of 50% and city 6?
66. The simple interest on a sum of 25% and spends ` 165 on (a) 348 : 595 (b) 255 : 199
money for 10 years is` 3130. If the repairing of article. If he sells the (c) 595 : 348 (d) 199 : 255
principal becomes 5 times after
article at a profit of 62.5%, what 75. If there are 259210 literate
5 years, what will be the total
is the selling price (in `) of the females in city 5, what is the total
interest (in `) obtained after 10
years? article? population of city 5?
(a) 6260 (b) 7825 (a) 1467 -6 (a) 644000 (b) 354200
(c) 9390 (d) 15650 (b) 1492 -6 (c) 690000 (d) 483000
67. Aman and Kapil start from Delhi (c) 1715 -39
and Gwalior respectively (d) 1467 -6
towards each other at the same
time. They meet at Mathura and
then take 196 minutes and 225
minutes respectively to reach
 Answers with Explanations

outlines his political ideology and Nadu and Sri Lanka. It is spread over
SECTION-III : GENERAL TEST
future plans for Germany. Volume 1 of an area of 10,500 km 2. The area of
1. (c) Goods which are neither Mein Kampf was published in 1925 other biosphere reserves (in km 2) is as
indestructible nor lasting are defined follows: Sundarbans: 9630; Nilgiri:
and Volume 2 in 1926. The book was
as Semi Durable Goods. They fall in 5520; Nandadevi: 5860.
edited by Rudolf Hess.
the category between Durable Goods 13. (d) The Master Control Facility
and Non Durable Goods. Some 7. (b) When the Constitution took (MCF) is located in the city of Hassan
common Semi Durable Goods are effect on January 26,1950, the in Karnataka. Established in 1982, this
clothing or preserved foods; vehicles Constituent Assembly became the facility is responsible for monitoring
and electronic home appliances are Provisional Parliament of India. It was and controlling geostationary and
classified as Durable Goods. “provisional” until the first elections geosynchronous satellites launched by
2. (a) In economics, the law states under the new Constitution took place ISRO.
that, all else being equal, as the price in 1952. It had 296 members in 1950 14. (d) When an object covers
of a product increases, quantity which increased to 313 in the distance which is directly proportional
demanded falls; likewise, as the price following year with the inclusion of the to the square of the time, its
of a product decreases, quantity princely states’ representatives. acceleration is constant. This is seen
demanded increases. So basically the in the cases of falling objects. This
8. (d) Article 2 states that the
quantity demanded and the price of a connection between time and distance
parliament may, by law, admit new
commodity is inversely related, other was first observed by Galileo.
states into Union of India or establish
things remaining constant. new states on terms and conditions its 15. (b) Equation of projectile :
3. (d) Indian states were deems fit. Article 3 empowers the gx2
y = x tan  :
reorganized on 1 November 1956 parliament to form a new state by 2u 2cos 2 
under the States Reorganization Act, separation of a part of territory of an u 2 sin 2  u 2 sin 2 
1956. Andhra State was merged with established state or to unite two or  4
the Telugu speaking area of Hyderabad g 2g
more states or parts of states or by
state (also known as Telangana) to uniting any territory to a part of any 2 sin  cos  = 2 sin 2
create Andhra Pradesh in 1956. state. tan  = 1
Similarly Kerala in the south and three 9. (d) India is not only the largest  = 45°
states (Uttar Pradesh, Bihar and producer but also the largest exporter
Madhya Pradesh) came into being in 16. (c) The melting point of the
of mica in the world. Andhra Pradesh given metals (in Celsius) are: Gold:
the Hindi speaking area. West Bengal, is the largest producer of mica
Rajasthan, and Punjab were enlarged 1063; Silver: 961;Copper: 1083;
(Geography oflndiaby Majid Hussain). Mercury: 38.86. Mercury is the only
by addition of territories. It is the second largest producer and
4. (b) Article 312 provides that an elemental metal known to melt at a
exporter of tea after China in the world. generally cold temperature.
All India Service can be created only 10. (d) Morphine is the pre-
if the Council of States (Rajya Sabha) 17. (d) A rainbow is an optical
dominant alkaloid found in the phenomenon that is caused by both
declares, by resolution supported by
varieties of opium poppy plant. It is reflection and refraction of light in
not less than a two-thirds majority, that
obtained in form of liquid from the water droplets resulting in a spectrum
it is necessary in the national interest
fruit capsule of the poppy. The latex of light appearing in the sky. It is
to create one or more such All India which oozes from the incisions is
Services. When once such a resolution caused by light being refracted (bent)
collected, and dried to produce “raw when entering a droplet of water, then
is passed, the Parliament is competent
opium” (about 8-14% morphine by reflected inside on the back of the
to constitute such an All India Service.
dryweight). droplet and refracted again when
5. (c) Ravikirti was the court poet
11. (b) Three common sugars leaving it.
of Chalukya King, Pulakesin II who
(glucose, galactose and fructose) share 18. (b) Tropical rainforests cover
reigned from 610 to 642 A.D. He
the same molecular formula: C 6H12 O6. only about 7% of the Earth’s surface.
authored the Aihole inscription at
Because of their six carbon atoms, each They are located in a band around the
Meguti Temple which describes the is a hexose. They are “single” sugars
defeat of Harshavardhana by Pulakesin equator, mostly in t he area between the
or monosaccharides. Tropic of Cancer (23.5° N latitude) and
II and the shifting of the capital from
12. (d) The Gulf of Mannar located the Tropic of Capricorn (23.5° S
Aihole to Badami.
in Tamil Nadu is one of South Asia’s latitude). They are home to
6. (a) Mein Kampf is an largest biosphere reserves. It extends approximately 5 0% of all living things
autobiographical manifesto by Nazi from Rameswaram Island in the North on earth.
leader Adolf Hitler, in which he to Kanyakumari in the South of Tamil
 19. (d) ‘Life Divine’ is a GMA I U O 35. (a)The sequence of the series is :
metaphysical treatise authored by Sri Similarly, 23 + 9 = 32
Aurobindo. It is called the most
32 + 10 = 42
profound book ever written on the Finally the missing term is MWI.
nature of spirit, creation, life, and 42 + 11 = 53
28. (b) As, Similarly,
human evolution. 53 + 12 = 65
D e F I h g W x Y B a z
20. (b) At higher altitudes, the air 65 + 13 = 78
pressure is decreased, which forces +2 –2 +2 –2
Finally the missing term is 78.
+3 +3
water’s boiling point to lower. The air
pressure decreases with altitude Finally the missing term is Baz. 36. (d) According to statements, only
because of the decrease in the density 29. (a) As, 81 121 conclusion I follows.
of air. The lowered boiling point of 9 + 2 = 11  (11)2 = 121 37. (d) According to question, the
water requires an increase incooking sequence is :
Similarly,
times or temperature. D>B>C>E
21. (a) An emulsion of sodium 49  81
7 + 2 = 9  (9) 2 = 81 Finally D is oldest of all.
thiosulfate is called hypo by photo-
graphers. It is used to stop development Finally the missing number is 81. 38. (b) According to dictionary. The
of exposed film. Thiosulfate converts arrangement of the words is given
undeveloped silver bromide grains in 30. (d) B E H D G J below—
2 5 8 4 7 10
the film into water-soluble silver (iii) Stability
thiosulfate complexes that can be +3 +3 +3 +3 (i) Stable
removed when the film is washed.
H K N M N O (ii) Stranger
22. (a) The Steppe is a dry, cold,
8 11 14 13 14 15 (iv) Struggle
grassland that is found in all of the
continents except Australia and +3 +3 +1 +1 Finally (iii), (i), (ii), (iv) is right
Antarctica. It is mostly found in the sequence.
USA, Mongolia, Siberia, Tibet and Finally the odd word pair is MNO.
39. (a) As, And
China, is usually found between the 31. (d)5210 = 5 × 2 = 10
T I TANI C S E MA T I C
desert and the forest. 8432 = 8 × 4 = 32
















23. (b) The Grammy Award is an 8648 = 8 × 6 = 48 7 3 7 1 8 3 5 6 2 4 1 7 35
accolade by the National Academy of Similarly
7240 = 7 × 2 = 14
Recording Arts and Sciences (NARAS)  MA I N TA I N
of the United States to recognize Finally the odd number is 7240.










outstanding achievement in the music 32. (d) 81 = (9) 2 4 1 3 8 71 38
industry. The first Grammy Awards 125 = (5) 3 40. (d) As, 6 × 7 – 5 = 37
ceremony was held on May 4, 1959.
64 = (4) 3 and
24. (b) Indira Gandhi became the
first woman to receive the Bharat 198 = (14) 2 + 2 5 × 6 – 7 = 23
Ratna in 1971. She served as the Prime Finally the odd number is 198. similarly
Minister of India from 1966 to 1977 33. (c) 4 × 5 – 6 = 14
and then again from 1980 until her Finally the missing number is 14.
assassination in 1984. Instituted in i +4 m –1 l +4 p –1 o +4 s
41. (b) + ×
1954, the Bharat Ratna is the highest
j +4 n –1 m +4 q –1 p +4 t × +
civilian award of India.
18 12
25. (a) Jim Yong Kim, a Korean- k +4 o –1 n +4 r –1 q +4 u 12 18
American physician and anthropologist,
has been the 12th President of the World Finally the missing term is stu.  (18 + 6) × 12 = 90
Bank since July 1, 2012. He was President 34. (b)  (12 × 6) + 18 = 90
of Dartmouth College from 2009 to 2012.  (72 + 18) = 90
A Z B Y C X D W
26. (d) As, Iraq's currency is Dinar. 1 26 2 25 3 24 4 23  90 = 90
Similarly,Korea's currencyis won. 42. (a) ab b bc a bb b c abb b c
+1 +1 +1
27. (c) As, AOE MW I The series becomes abbbc abbbc
–1 –1 –1 abbbc
Finally the missing term is DW. Finally the set of letters is babcb.
 43. (c)  31  31 
49. (d) Answer figure (d) will =  2  31  %
End point complete the pattern of the question  100 
N figure. = (62 + 9.61) % = 71.61%
50 m NW NE 57. (b) Amount
50 m 50. (a) M = 03 , 10, 22, 31, 44
10 m W E A = 59 , 67, 75, 88, 96 2
20 m  20  P×40×1
SE T = 00, 11 , 23, 34, 42 = P  1+  +
30 m SW
S
 100  100×2
H = 55, 66, 78 , 87, 99
Starting point 36 6000 40
S = 01, 12, 20, 33, 43 = 6000× 25  100 2
Finally 9 am in North-west direction For 'MATHS' the set of number is 03,
from the starting point. 59, 11, 78, 43. 6000  36 4 240000
= 
44. (d) Grand mother 51. (b) 4x3 – 2x2 + 2x– 3 100 200
= 60 × 144 + 1200
Grand daughter
Coefficient of x2 = –2
Amount = (8640 + 1200) = 9840
52. (d) By tricky formulae: Compound Interest = (9840 – 6000)
Husband
  100 – y   = ` 3840.
Raju Yash Profit % = (Profit  P%)  100 – x  100  58. (d) Let numbers be x
brother-in-Law    
4 : 28 :: 28 : x
Finally Yash is Brother-in-law of Raju.   100 – 20   4 28
Profit% = (100  10)  100 – 40   100  =
45. (b) Kitchen, Utensils, glass are   28 x
complements of each other because, 28  28
 80   x =
utensils and glass are in kitchen. So the =  90   100 4
 60 
best representeation among them is  x = 7 × 28 = 196
given be low— = (120 – 100) = 20% 59. (b) Mummy can cook cakes in
Here + sign indicates that the
Kitchen 75
merchant will get 20% profit. 1 hour = = 5 cakes
Utensils 15
53. (b) Mean Marks
Glass Mummy and sister can cook in
60  66  45 62 75 60 1 hour
= 60  45  75 120
X = = 6 cakes
2
3960  2790  4500 Sister can cook in 1 hour
46. (b) =
? 180 = (6 – 5) = 1 cake
11250 Sister can cook in 30 hours
= = 62.5 = 1 × 30 = 30 cakes
Y 180
60. (c) Cost price of 20 quintal rice
The right mirror image of the given 221a 2b 2 = ` 8580
54. (a) = 17a 2
13b 2 78
image is . 55. (c) Speed of missile = 1116 km/h Left rice = 20 
100
1116  1000 1560
= m/sec = = 15.60 quintal
47. (b) A piece of paper is folded and 3600 100
punched. when opened it will appear as The trader wants 20% profit,
given below— 5 124  5
= 1116 =  120 
18 2 SP =   8580
100 
= 62 × 5 = 310 metres/sec.
= 858 × 12 = ` 10296
Missile will travel 310 metres in 1
second. 10296
Rate/quintal of rice =
56. (d) By tricky formulae: 15.60
48. (c) The numbers 2, 3, 5 and 6 lie
Area increased of a circle 102960
on the faces adjacent to number 1.
= = ` 660 per quintal
Therefore, 4 lies opposite 1.  a2  156
=  2a  %
 100 
 4 66. (c) S.I. for first 5 years
61. (c) Here a = 3/2 and b =  71. (c) Single equivalent discount of
7
Equation of intercept  3130  two successive discount
=`   5  = ` 1565
x y  10   xy 
 = x y – %
a b =1 After 5 years, principal becomes five  100 
x y times of itself.  50  25 
  =1 =  50  25 – %
3/2 4/7 S.I. for 10 years = ` (1565 + 5 ×  100 
2x 7 y 1565) = (75 – 12.5)% = 62.5%
  =1 = ` (1565 +7825) = ` 9390
3 4  C.P. of article = (100 µ 62-5)»
8 x  21 y 67. (a) According to the question. of 2375
 =1
12 v1 T  2375  37.5 
8x – 21y = 12  2 = `
100
 = ` 890.625
v2 T1  
62. (c) Formula F + V = E + 2 Actual cost = ` (890.625 + 165) = `
 (4 + 4) = E + 2 30 225 15 1055.625
  v  196 14
 (8 – 2) = E 2 To gain 62.5% required S.P.
 E =6  15 v2 = 30 × 14  1055.625  162.5 
There are 6 edges in it. = ` 
30  14  100 
63. (b) According to question,  v2 = = 28 kmph.
15 = ` 1715.39
2r = 3a 67. (c) Number of trees 2 years ago
22 P 72. (b) Time taken by Nirmit in doing
 2 14 = 3a = n
7  R  2
88  1   rd work = 18 days
100 
  =a 3
3 17640 17640
=   Time taken by Nirmit in doing
88  5 
2
 1 
2
 Side (a) = cm 1   1  
3  100   20  18  3
1 work = = 27 days
64. (b) rl = C.S.A. of a cone 17640 17640 20 20 2
= 2

22  21  21  21 Kashish is twice as efficient as Nirmit.
  35  l = 10010  
7  20 
= 16000 27
10010  Time taken by Kashish =
69. (c) Age of coach = 23 + total 2
 l= = 91cm
110 increase
1
h = l 2 r 2 = 91 2  35 2 = (23 + 2 × 13) years = 49 years = 13 days
2
70. (d) Height of cuboid = x cm.
= (91  35) (91 35)  Its length = (x + 30) cm. 73. (b) Literate people in city-4
According to the question. 600000  63
= 126  56 =  378000
x  30 19 100
=
= 4  4 3 3 7 7 x 13
74. (c) Literate males in city-2
 19x = 13x + 390
 h = 4 × 3 × 7 = 84 cm
 6x = 390 85 7
1 2 = 220000  = 119000
390 100 11
 V = r h  x= = 65 cm.
3 6 Literate females in city-6
1 22 Length = (65 + 30) cm = 95 cm. 58 3
=   35  35 84 = 200000   = 69600
3 7 95 100 5
 Breadth = ( × 11) cm = 55 cm.
= 13860 cubic cm 19  Required ratio = 119000 :
65. (c) sin (A + B) – sin (A – B)  Volume of cuboid = (95 × 55 × 69600 = 595 : 348
= sin A.cos B + cos A sin B – sin A 65) cu. cm
cos B + cos A. sin B = 339625 cu. cm.
= 2 sin B.cos A
75. (a) Literate males in city-5
9
= × 259210 = 333270
7
 Literate population
= 333270 + 259210 = 592480
 Population of City-5
592480
=  100 = 644000
92