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8/19/2019 2015 SP Sub Insp
1/20
PART-A : GENERAL INTELLIGENCE & REASONING
DIRECTIONS (Qs. 1-5) : In questions below, select the related
word/letters/number from the given alternatives.
1. 9 : 24 :: ? : 6
(a) 3 (b) 2
(c) 1 (d) 5
2. hive : bee :: eyrie : ?
(a) Pigeon (b) Sparrow(c) Parrot (d) Eagle
3. STAR : RATS :: WARD : ?
(a) MICE (b) SHINE
(c) FAME (d) DRAW
4. DCBA : WXYZ :: IJKL : ?
(a) SRQP (b) QPON
(c) PONM (d) RQPO
5. DHLPTX : BFJMRV :: CGKOSW : ?
(a) AIOMUQ (b) UMQEIA
(c) IJKLMN (d) AEIMQU
6. Choose the similar group of numbers on the basis of certain
common properties they possess(31, 19, 41)
(a) (23,33,51) (b) (16,27,11)
(c) (27,29,47) (d) (29,17,37)
DIRECTIONS (Qs. 7-12) : In questions below, find the odd
number/letters/number pair form the given alternatives.
7. (a) ( 47,49 ) (b) ( 5,7 )
(c) ( 29,31 ) (d) ( 11,13 )
8. (a) Marigold (b) Lotus
(c) Tulip (d) Rose
9. (a) mmm qqq ttt (b) ccc ggg kkk
(c) kkk ooo sss (d) bbb fff jjj
10. (a) 8110 (b) 1234
(c) 9100 (d) 1189
11. (a) Brass (b) Tin
(c) Bronze (d) Steel
12. (a) TEAP (b) QIEM
(c) HIUL (d) ZOIV
13. Arrange the following according to Dictionary.
1. Fenestration 2. Feather
3. Feed head 4. Feature 5. Feminine
SSC SUB INSPECTOR
SSCSub-Inspector and Assistant Sub-Inspector Exam
Held on 21-06-2015
Time : 2 Hours Max. Marks : 200(Based on Memory)
(a) 4,2,3,1,5 (b) 2,4,3,5,1
(c) 2,4,1,5,3 (d) 4,2,3,5,1
14. Which one of the given responses would be a meaningful
order of the following?
1. Rivulet 2. Ocean 3. Tributary
4. River 5. Sea 6. Rain
(a) 6 5 3 1 2 4 (b) 5 6 1 3 2 4
(c) 6 4 1 3 5 2 (d) 6 1 3 4 5 2
DIRECTIONS (Qs. 15-16) : In questions below, which one set ofletters when sequentialy placed at the gaps in the given letter
series shall complete it?
15. LU_TUPLUBTU_LUBT_P_UBTUP
(a) LBPU (b) BPUL
(c) PBUL (d) BUPL
16. B_CCABB_CABBC_AB_CCA
(a) BCBC (b) BCCB
(c) BBCC (d) BBBC
DIRECTIONS (Qs. 17-18) : In questions below, a series is given,
with one/two term/ s missing. Choose the correct alternative
from the given ones that will complete the series.
17. 24, 35, 20, 31, 16, 27, __, __
(a) 9, 9 (b) 5, 30
(c) 8, 25 (d) 12, 23
18.1 2 5 2 2
7 , 8 , 9 ,12 ,16 , ?7 6 5 4 3
(a) 35 (b)50
2
(c)2
154
(d)4
164
19. Two persons A and B get the same salary. Their Basic payare different. The allowances are 65% and 80% of the basic
pay respectively. What is the ratio of the basic pay ?
(a) 7:5 (b) 17:15
(c) 12:11 (d) 11:10
20. A man climbing up a wall of 24 metres high, climbs 16 m on
one day but slipped back by 3m 40cms in the evening. How
far had the man reached on that day ?
(a) 12.6 m (b) 19 m 40 cm
(c) 12 m 40 cm (d) 11.4 m
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2015-2 SSC Sub-Inspector EXAM PAPER 2015
21. Two horses A and B run at a speed of 3:2 ratio in the first
lap; during the second lap the ratio differs by 4:7; during
the third lap the ratio differs by 8:9. What is the difference
in ratio of speed altogether between the two horses.
(a) 3 (b) 2
(c) 4 (d) 1
DIRECTIONS (Qs. 22-23) : In questions below, from the given
alternative words, select the word which cannot be formed using
the letters of the given word:22. ADMINISTRATION
(a) Station (b) Mind
(c) Ration (d) Minister
23. CHARACTER
(a) Tracer (b) Hearty
(c) Crate (d) Charter
24. If a represents ÷, ‘b’ represents +, ‘c’ represents – and ‘d’
represents x then 24a 6d 4b 9c 8 = ?
(a) 6 (b) 17
(c) 20 (d) 19
25. Some equations are solved on the basis of certain system.
find out the correct answer for the unsolved equation onthat basis: 7 × 6 × 4 = 674, 8 × 5 × 3 = 583, 9 × 1 × 2 = ?
(a) 727 (b) 292
(c) 192 (d) 462
26. In a language FIFTY is written as CACTY, CAR as POL,
TAR as TOL, how can TARIFF be written in that language?
(a) TOEFEL (b) TOEFDD
(c) TOLADD (d) TOLACC
27. Change the symbol and solve accordingly to find out correct
answer from the alternatives given below 9 × 8 × 7 = 24, 4 ×
7 × 3 = 14, 2 × 1 × 9 = ?
(a) 12 (b) 11
(c) 18 (d) 10
28. If GOODNESS is coded as HNPCODTR, how can
GREATNESS be written in that code?
(a) HQFZSMFRT (b) HQFZUFRTM
(c) HQFZUODTR (d) HQFZUMFRT
DIRECTIONS (Qs. 29-31) : In questions below, Select the missing
number from the given responses.
29.
(a) 53 (b) 71
(c) 76 (d) 68
30.
(a) 24 (b) 12
(c) 18 (d) 19
31.
(a) 8 (b) 7
(c) 10 (d) 9
32.
How many faces can you count in this 3 dimensional model?
(a) 18 (b) 14
(c) 12 (d) 16
33. Which of the following states the relationship between
Sociology, Psychology and Humanities ?
(a) (b)
(c) (d)
34. How many triangles are there in the following square ?
(a) 7 (b) 12
(c) 6 (d) 9
35. Keeping his back towards the rising sun, Reshma starts
walking. After a few minutes, she turns left and keeps on
walking. Then a little later she turns right and then left. In
which direction is she going at the moment?
(a) East or South (b) South or West
(c) North or South (d) West or North
36. From her home facing south west, Kavita walks 15m and
turns northward and walks 12 m. How far was she from her
home. Which was her starting point ?
(a) 12 m (b) 9 m
(c) 15 m (d) 10 m
37. Which venn diagram truly represents Teachers, Scholars
and Students ?
(a) (b) (c) (d)
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8/19/2019 2015 SP Sub Insp
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2015-4 SSC Sub-Inspector EXAM PAPER 2015
47. Which is the correct image if the picture is held in front of a
mirror?
Question figure:
Answer figures:
(a) (b) (c) (d)48. From the given answer figures, select the one in which the
question figure is hidden/embedded.Question figure :
Answer figures:
(a) (b) (c) (d)DIRECTIONS (Qs. 49-50) : A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II arenumbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column e.g., 'E' can be represented by01, 13 etc., and 'L' can be represented by 56, 77 etc. Similarly, youhave to identify the set for the word given in each question.
49. Matrix I Matrix I
0 1 2 3 4
0 Z M G R C
1 J L D B G
2 M B C M H
3 R L N G I
4 B D M R J
5 6 7 8 9
5 X K T E S
6 Q A U X P
7 U V O W E
8 T Y A F U
9 O O E V A
L A N E(a) 11, 66, 33, 96 (b) 31, 87, 32, 97(c) 31, 66, 33, 97 (d) 11, 67, 32, 97
50. Matrix I Matrix I
0 1 2 3 40 A E M N P
1 N P A E M
2 E M N P A
3 P A E M N
4 M N P A E
5 6 7 8 95 I L R S T
6 R S T I L
7 T I L R S
8 L R S T I
9 S T I L R
A I R S(a) 12, 76, 99, 78 (b) 43, 55, 86, 95
(c) 00, 68, 78, 88 (d) 24, 69, 56, 78
PART-B : GENERAL AWARENESS
51. The forests which act as barriers against cyclones are:
(a) Evergreen forests (b) Mangrove forests
(c) Monsoon forests (d) Alpine Forest
52. A reversible and an irreversible engine are working between
the same limits of temperature. The efficiency of.
(a) The reversible engine is greater than the irreversible
engine.
(b) Each engine is 100%.
(c) The two engines are equal
(d) The irreversible engine is greater than the reversible
engine.
53. Name the Kingdom which first used elephants in wars?
(a) Avanti (b) Champa
(c) Magadha (d) Kosala
54. Which of the following is used in the treatment of cancer?
(a) Electrotherapy (b) Psychotherapy
(c) Chemotherapy (d) Physiotherapy
55. The most abundant element is :
(a) Silicon (b) Calcium
(c) Nitrogen (d) Oxygen
56. An electron microscope gives higher magnifications than
an optical microscope because :
(a) The electrons have more energy than the light
particles.
(b) The electron microscope uses more powerful lenses.
(c) The wavelength of electrons is smaller as compared
to the wavelength of visible light.
(d) The velocity of electrons is smaller than that of light.
57. RAM is used as a short memory in a computer because it.
(a) is very expensive (b) is programmable
(c) is volatile (d) has less capacity
58. Who among the following was named as “HaryanaHurricane” ?
(a) Ajay Ratsa (b) Nawab Pataudi
(c) Kapil Dev (d) Ajay Jadeja
59. The states recorganisation in 1956 created :
(a) 17 States and 6 Union Territories.
(b) 17 States and 9 Union Territories.
(c) 14 States and 6 Union Territories.
(d) 15 States and 9 Union Territories.
60. A low interest policy is also known as :
(a) investment policy
(b) income generating policy
(c) dear money policy(d) cheap money policy
61. The resources which are obtained from biosphere and have
life are :
(a) Renewable resources (b) Potential resources
(c) Biotic resources (d) Abiotic resources
62. In a solar or lunar eclipse, the region of earth’s shadow is
divided into.
(a) Four parts (b) Five parts
(c) Two parts (d) Three parts
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63. Tulsidas wrote Ramacharitamans during the reign of :
(a) Akbar (b) Krishnadeva Raya
(c) Jahangir (d) Rama Raya
64. What does the word ‘amphibian’ mean ?
(a) Two lives (b) Four lives
(c) Three lives (d) One life
65. Reservation for the Scheduled castes and Scheduled tribes
in the service has been provided in the Indian Constitution
under :(a) Article 365 (b) Article 375
(c) Article 315 (d) Article 335
66. Government of India has decided to integrate -------- with
recent launched Pradhan Mantri Krishi Sinchayee Yojana.
(a) Accelerated Irrigation Benefit Programme.
(b) Haryali.
(c) National Rural Livlihood Mission.
(d) Mahatma Gandhi National Rural Employment
Guarantee Act.
67. The largest current, because of its dark waters is known as
the “black current” and that is :
(a) California current (b) Antarctic current
(c) Gulf stream (d) kuroshio currrent
68. The founder of the ‘Arya Samaj’ was:
(a) Dayananda Saraswati (b) Raja Ram Mohan Roy
(c) Vivekananda (d) Annie Besant
69. Nitrogen in water is commonly found in the form of:
(a) Nitric oxide (b) Nitrous oxide
(c) Nitrate (d) Nitrite
70. The Members of the Constituent Assembly which enacted
the constitution of India were:
(a) Nominated by Governor-General.
(b) Nominated by the Political Parties.
(c) Elected by the Legislative Assemblies of various
Provinces.
(d) Directly elected by the People.
71. To whom the President has to submit his resignation ?
(a) Speaker (b) Chief Justic
(c) Prime Minister (d) Vice President
72. The total number of planets revolving around the sun are:
(a) Seven (b) Eight
(c) Five (d) Six
73. Immunization technique was developed by:
(a) Louis Pasteur (b) Robert Koch
(c) Joseph Lister (d) Edward jenner
74. Which one of the following chapters in the Indian
Constitution guarantees fundamental rights to the people?
(a) Part III (b) Part IV
(c) Part I (d) Part II
75. The market equilibrium for a commodity is determined by:
(a) the balancing of the forces of demand and supply for
the commodity.
(b) the intervention of the Government.
(c) the market demand of the commodity.
(d) the market supply of the commodity.
76. “Economies” of a firm are:
(a) an increase in its profits
(b) its dominance of the market
(c) saving in its production costs
(d) a reduction in its selling expenses
77. The hydrophilic nature of DNA is due to the presence of.
(a) a number of hydrogen bonds
(b) phosphate group
(c) deoxyribose sugar (d) thymine base
78. In a computer system, which device is functionally opposite
of a keyboard ?
(a) Joystick (b) Trackball
(c) Mouse (d) Printer
79. The sense of balance is achieved by:
(a) Cerebellum equilibrium
(b) Thalamus equilibrium
(c) Cerebrum equilibrium
(d) Spinal cord equilibrium
80. Aluminium salt commonly used to stop bleeding is:
(a) Aluminium chloride (b) Aluminium nitrate
(c) Aluminium sulphate (d) Potash alum
81. Cripps Mission came to India in:
(a) 1945 (b) 1946
(c) 1940 (d) 1942
82. Who among the following Sultans tried to prohibit Sati?
(a) Muhammad Bin Tuglaq (b) Firoz Tuglaq
(c) Jalaluddin Khilji (d) Alauddin Khilji
83. Total internal reflection cannot take place when light goes
from:
(a) water to glass (b) water to air
(c) glass to air (d) glass to water
84. Who constructed Humayun’s Tomb in Delhi ?
(a) Haji Begam (b) Babar (c) Humayun (d) Akbar
85. Who among the following Mughal rulers banned music
and dancing ?
(a) Jahangir (b) Babar
(c) Aurangzeb (d) Humayun
86. Which of the following is the major copper producing
country?
(a) Indonesia (b) Russia
(c) Sri Lanka (d) Chile
87. Interferons are synthesized in response to:
(a) mycoplasma (b) fungi
(c) virus (d) bacteria88. Who was the governor-general during the Second Anglo-
Mysore War?
(a) Lord Wellesley (b) Sir John Shore
(c) Lord Cornwallis (d) Warren Hastings
89. The first law of thermodynamics is simply the case of:
(a) Charle’s law.
(b) the law of conservation of energy.
(c) the law of heat exchange.
(d) Newton’s law of cooling.
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90. Mac Iver says ‘Kinship creates society and society at
length creates ________’.
(a) Association (b) City State
(c) Nation (d) State
91. Red rot of sugarcane is caused by:
(a) Colletotriehum falcatum
(b) Cercospora personata
(c) Alternaria alternata
(d) Phylophthora Infestans
92. Regarding money supply situation in India it can be said
that the:
(a) Currency with the public is almost equal to the
deposits with the banks.
(b) Currency with the public is inconvertible only.
(c) Currency with the public is more than the deposits
with the banks.
(d) Currency with the public is less than the deposits
with the banks.
93. A clone is a group of individuals obtained through :
(a) self pollination (b) micropropagation
(c) hybridisation (d) cross pollination
94. Chemical name of Gammaxane is:(a) Aniline (b) Toluene
(c) Benzene hexachloride (d) Chloro benzene
95. The equilibrium price of a commodity will definitely rise of
there is a/an:
(a) increase in supply combined with a decrease in
demand.
(b) increase in demand accompanied by a decrease in
supply.
(c) decrease in both demand and supply.
(d) increase in both demand and supply.
96. The fleshy thalamus is edible in:
(a) Mango (b) Orange(c) Tomato (d) Apple
97. The largest forest which covers 25 percent of the world’s
Forest land is:
(a) Monsoon Forest
(b) Temperate forests of Europe
(c) The tropical Rain forest
(d) Taiga forest of Siberia
98. Name the acid attack victim who was honoured with
prestigious “International women of courage” award on 4
march 2014 at the state department ceremony in
Washington by Michelle Obama, first lady of the U.S.
(a) Malini (b) Shivani(c) Nirbhaya (d) Laxmi
99. If the Union Parliament is to assume legislative power over
and subject included in the State List, the resolution to the
effect has to be passed by which of the following ?
(a) Lok, Sabha, Rajya Sabha and legislatures of the
Concerned States.
(b) Both Lok Sabha and Rajya Sabha
(c) Lok Sabha
(d) Rajya Sabha
100. Which Article of the Indian constitution defines the duties
of the Chief Minister?
(a) Article 164 (b) Article 166
(c) Article 167 (d) Article 163
PART-C : QUANTITATIVE APTITUDE
101. 2km 5m is equal to:
(a) 2.005 km (b) 2. 0005 km
(c) 2.5 km (d) 2.05 km102. A trader marks his goods 20% above C.P. but allows his
customers a discount of 10. The C.P. of a blackboard, which
is sold for ` 216, is:
(a) ` 200 (b) ` 180
(c) ` 108 (d) ` 196
103. A bus moving at 40km per hour covers a distance in 6
hours 15 minutes. If it travels the same distance at 50 km
per hour how long will it take to cover the distance?
(a) 6 hours (b) 2 hours
(c) 4 hours (d) 5 hours
104. If a shopkeeper purchases cashewnut at ` 250 per kg and
sells it at ` 10 per 50 grams, then he will have:
(a) 25% profit (b) 20% profit
(c) 20% loss (d) 25% loss
105. The simplified value of
( )0.0539 0.002 0.4 0.56 0.07
0.04 0.25
- ´ + ´
´ is:
(a) 59.96 (b) 599.6
(c) 0.5996 (d) 5.996
106. The height of a triangle is increased by 10%. To retain the
original area of the tr iangle, its corresponding base must
be decreased by:
(a)1
9 %8
(b)1
9 %11
(c) 10% (d)1
9 %7
107. The mean of x and1
xis M. Then the mean of x2and 2
1
x is.
(a) M2 (b) M2 –2
(c) 4M2 –2 (d) 2M2 –1
108. In a factory, the production of cycles rose to 48,400 from
40,000 in 2 years. The rate of growth per annum is:(a) 8% (b) 9%
(c) 10.5% (d) 10%
109. A man bought a watch at 25% discount on the original
price. He got ` 40 more than the original price by selling it
at 140% of the price at which he bought. The price of buying
the watch was:
(a) ` 900 (b) ` 600
(c) ` 800 (d) ` 700
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110. How many seconds will a train 120 metres long running the
rate of 36km/ hr take to cross a bridge of 360 metres in
length?
(a) 48 sec (b) 36 sec
(c) 40 sec (d) 46 sec
111. Incomes of x and y are in the ratio 4 : 3. Their expenditures
are in the ratio 12 : 7. Both save ` 3200 at the end of the
month, then the income of x is :
(a) ` 6000 (b) ` 8000
(c) ` 2000 (d) ` 4000
112. 12 monkeys can eat 12 bananas in 12 minutes. In how many
minutes can 4 monkeys eat 4 bananas ?
(a) 12 (b) 10
(c) 4 (d) 8
113. A certain amount of money earns` 540 as Simple Interest
in 3 years. If it earns a Compound Interest of ` 376.20 at
the same rate of interest in 2 years, find the amount. (in
rupees)
(a) 2100 (b) 1600
(c) 1800 (d) 2000
114. The average of some natural numbers is 15. If 30 is added
to first number and 5 is subtracted from the last number theaverage becomes 17.5 then the number of natural number
is:
(a) 20 (b) 30
(c) 15 (d) 10
115. The smallest whole number that is to be multiplied with
59535 to make a perfect square number is x. The sum of
digits of x is:
(a) 9 (b) 6
(c) 5 (d) 7
116. The ratio of the ages of A and B at present is 3 : 1 Four
years earlier the ratio was 4 : 1. The present age of A is :
(a) 40 years (b) 32 years
(c) 36 years (d) 48 years
117.10 25 108 154 225
?3 8
+ + + +=
(a) 8 (b)1
2
(c) 2 (d) 4
118. If 2x y3 - = x y3
+ = 27 , then the value of x y3 - will be :
(a)1
3(b)
1
27
(c) 3 (d) 3
119. A number is increased by x%, to get back to the original
number, it is to be reduced by :
(a)10x
%100 x+
(b)100x
%100 x+
(c) x% (d)x
%100 x+
120. A fruit seller buys 240 apples for ` 600. Some of these
apples are bad and are thrown away. He sells the remaining
apples at ` 3.50 each and makes a profit of ` 198. The % of
apples thrown away are :
(a) 8% (b) 7%
(c) 6% (d) 5%
121. 20 men can do a piece of work in 18 days. They worked
together for 3 days, then 5 men joined them. In how many
more days is the work completed ?
(a) 12 (b) 14
(c) 15 (d) 13
Study the bar graph and answer Q. 122 to 125.
0
10
20
30
40
50
60
120
500
200
150
100
330
150
260
130150
12050
1996 1997 1998 1999 2000 2001Years
Quantity in lakh sugar bags
Value in crores rupees
122. The approximate percentage increase in quantity from 1997
to 1998 was :
(a) 27.3% (b) 27.8%
(c) 26.5% (d) 26.9%
123. Percentage fall in value from 2000 to 2001 in :
(a) 50% (b) 75%
(c) 25% (d) 40%
124. The difference between the bags exported in 1999 and 2000
was.
(a) 50,000,00 (b) 1,00,000,00
(c) 1,50,000,00 (d) 2, 00,000,00
125. Value per bag was minimum in the year:
(a) 2001 (b) 1999
(c) 1996 (d) 1997
126. A man was born in the year 1896 A.D. If in the year x 2 A.D.
his age is x-4, the value of x is:
(a) 44 (b) 36
(c) 42 (d) 40
127. The total surface area of a regular triangular pyramid with
each edges of length 1cm is:
(a) 3 sq.cm (b)4 33
sq.cm
(c) 4sq.cm (d) 4 3 sq.cm
128. The perimeter of a sheet of paper in the shape of a quadrant
of a circle is 75 cm. Its area would be22
7
æ öp =ç ÷
è ø:
(a) 346.5 cm2 (b) 100 cm2
(c) 693 cm2 (d) 512.25 cm2
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129. If in a triangle ABC, BE and CF are two medians
perpendicular to each other and if AB=19cm and AC=22cm
then the length of BC is :
(a) 20.5cm (b) 19.5cm
(c) 13cm (d) 26cm
130. The shadow of a tower standing on a level plane is found
to be 40m longer when the sun’s altitude is 45° than when
it is 60°. The height of the tower is:
(a) ( )30 3 3+ m (b) ( )40 3 3+ m
(c) ( )10 3 3+ m (d) ( )20 3 3+ m
131. O is the circumcentre of DABC. If BACÐ =50° then
OBCÐ is:
(a) 130° (b) 100°
(c) 50° (d) 40°
132. If a is an acute angle and 2sin a + 15cos2a =7, then the
value of cota is:
(a)4
5(b)
5
4
(c)4
3(d)
3
4
133. If the base of right prism remains same and the measures of
the lateral edges are halved, then its volume will be reduced
by:
(a) 50% (b) 25%
(c) 66% (d) 33.33%
134. If sin q + sin2 q =1, then the value of cos2 q + cos4q is:
(a) 2 (b) 0
(c) 1 (d) –1
135. If 999x + 888y = 1332
888x + 999y = 555
then the value of x+y is:(a) 888 (b) 1
(c) 999 (d) 555
136. The term that should be added to (4x2 + 8x) so that resulting
expression be a perfect square is:
(a) 4 (b) 1
(c) 2x (d) 2
137. Two circles of radii 10 cm and 8 cm intersect and the length
of the common chord is 12 cm. Then the distance between
their centres is:
(a) 15 cm (b) 10 cm
(c) 8 cm (d) 13.3 cm
138. The angle between the graph of the linear equation 239x –
239y + 5 = 0 and the x-axis is:
(a) 45° (b) 60°
(c) 0° (d) 30°
139. Provided sin (A – B)= sinA cosB – cosA sinB, sin15° will be:
(a)3 1
2
-(b)
3 1
2 2
-
(c)3
2 2(d)
3 1
2 2
+
140. If x +1
x= 2, then the value of
7
5
1x
x+ is:
(a) 25 (b) 212
(c) 2 (d) 27
141. The number of paving stones each measuring 2.5m ×2m
required to pave a rectangular courtyard 30m long and 17.5m
wide, are:
(a) 99 (b) 105
(c) 33 (d) 80142. From two points on the ground and lying on a straight line
through the foot of a pillar, the two angles of elevation of
the top of the pillar are complementary to each other. If the
distances of the two points from the foot of the pillar are 12
metres and 27 metres and the two points lie on the same
side of the pillar, then the height (in metres) of the pillar is:
(a) 16 (b) 12
(c) 15 (d) 18
143. The diagonal of a quadrilateral shaped field is 24m and the
perpendiculars dropped on it from the remaining opposite
vertices are 8m and 13m. The area of the field is:
(a) 252 m2 (b) 1152 m2
(c) 96 m2 (d) 156 m2144. Two isosceles triangles have equal vertical angles and their
areas are in the ratio 9:16. Then the ratio of their
corresponding heights is:
(a) 4.5 : 8 (b) 8 : 4.5
(c) 3 : 4 (d) 4 : 3
145. The perimetres of two similar triangles are 30 cm and 20cm
respectively. If one side of the first triangle is 9cm. Determine
the corresponding side of the second triangle:
(a) 15 cm (b) 5 cm
(c) 6 cm (d) 13.5 cm
DIRECTIONS (Qs. 146-150) : The expenses of a country for a
particular year is given in the pie chart. Read the pie chart and
answer question below.
Defence15%
Statedevelopment
15%
Non plan
36%
Others30%
Sports 18%
Health54%
Education
10%
146. If the total amount spent by Government during the year
was ` 3,00,000 crores, the amount spent on state
development exceeds that on sports by:
(a) ` 25,000 crores (b) ` 45,000 crores
(c) ` 35,000 crores (d) ` 30,000 crores
147. The percent of less money spent on non plan than that on
defence is:
(a) 12% (b) 15%
(c) 5% (d) 10%
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148. The percent of more money spent on others than that on
sports is:
(a) 26% (b) 25%
(c) 28% (d) 27%
149. If the total amount spent by the Government during the
year was ` 1,00,000 crores, then the amount spent on health
and education together was:
(a) ` 25,000 crores. (a) ` 30,000 crores.
(a) ` 15,000 crores. (a) ` 20,000 crores
150. The percent of the total spending that is spent on health is:(a) 25% (b) 30%
(c) 15% (d) 20%
PART-D : ENGLISH COMPREHENSION
DIRECTIONS (Qs. 151 to 155): In questions below,
some part
of the sentences have errors and some are correct. Find out
which part of a sentence has an error and blacken the circle [·]
corresponding to the appropriate letter (A,B,C). If a sentance
is free from error, blacken the circle corresponding to (D) in
the Answer Sheet .
151. The team was / now in the field and /(A) (B)
about to take their place. / No error
(C) (D)
152.Everyone were happy / to hear/
(A) (B)
about his success./ No error
(C) (D)
153.The lions/ kill the animals / and eat his meat./
(A) (B) (C)
o error
(D)
154.Hearing these strange noises above, /
(A)
the thought at once occured to me/
(B)
that thieves had entered the house./
(C)
o error
(D)
155.Our beloved Prime-Minister / is known to /
(A) (B)
the prominent figures all over the world./
(C)
o error
(D)
DIRECTIONS (Qs. 156-160) : In questions below sentences
given with blanks are to be filled in with an appropriate word
(s). Four alternatives are suggested for each question. Choose
the correct alternative out of the four and indicate it by
blackening the appropriate circle [·] in the Answer Sheet.
156. There were so many _______ points in his speech that the
audience _______ to get the message.
(a) superficial - listened
(b) relevant - hastened
(c) interesting - tried
(d) irrelevant - failed
157. The little boy ran _______ fast that he was _______ for
breath.
(a) so - gasping (b) too - fighting
(c) so - inhaling (d) very - struggling
158. He was so _______ at his job that he was asked to give a
_______ to the visitors.
(a) adept - demonstration (b) able - disclosure
(c) agile - demolition (d) accurate - display
159. She was so _______ that she was _______ by all.
(a) proud : respected (b) excellent : warned
(c) talented : praised (d) stupid : admired
160. The _______ of the ‘chief’ was _______ upon him.
(a) title, bestowed (b) name, dismissed
(c) title, imposed (d) appointment, thrown
DIRECTIONS (Qs. 161-165) : In questions below
out of the
four alternatives, choose the one which best expresses the
meaning of the given word and mark it in the Answer Sheet.
161. Annihilate
(a) initiate (b) destroy
(c) solve (d) deduce
162. Query
(a) quest (b) denounce
(c) victim (d) quake163. Interference
(a) honour (b) deference
(c) obstruction (d) fearful
164. Verisimilitude
(a) festive (b) fantastic
(c) grotesque (d) authenticity
165. Conjecture
(a) knowledge (b) guess
(c) truth (d) bias
DIRECTIONS (Qs. 166-170) : In questions below,
choose the
word opposite in meaning to the given word and mark it in the
Answer Sheet.166. Unscrupulous
(a) Single - minded (b) Superfluous
(c) Dedicated (d) Conscientious
167. Tranquil
(a) Perpetual (b) Temporal
(c) Unruffled (d) Disturbed
168. Enlarge
(a) amplify (b) glorify
(c) condense (d) augment
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169. Obsequious
(a) domineering (b) clever
(c) opaque (d) careful
170. Vacillate
(a) injure (b) relieve
(c) decide (d) repel
DIRECTIONS (Qs. 171-175) : In questions below, four
alternatives are given for the Idiom/Phrase underlined in the
sentence. Choose the alternative which best expresses the
meaning of the Idiom/Phrase and mark it in the Answer Sheet.
171. The shopping mall is a beehive of activity.
(a) a secure place (b) a sweet place
(c) a busy place (d) a costly place
172. To win laurels.
(a) To be disappointed
(b) To memories
(c) To be victorious in a game
(d) To earn great prestige
173. The officer was in the soup when there was a raid in his
office.
(a) preparing soup (b) distributing soup
(c) to be in trouble (d) drinking soup174. We must draw the line somewhere.
(a) turn the tables (b) put the screw on
(c) fix a limit (d) aim at the sky
175. To cut the Gordian knot.
(a) to do a job perfunctorily
(b) to cut a piece of cloth
(c) to perform an easy task
(d) to perform a difficult task
DIRECTIONS (Qs. 176-180): In questions below, a part of the
sentence is underlined. Below are given alternatives to the
underlined part at (A), (B), (C) which may improve the sentence.
Choose the correct alternative. In case no improvement is needed your answer is (D). Mark your answer in the Answer Sheet.
176. She is very eccentric woman.
(a) unusual (b) impatient
(c) generous (d) no improvement
177. The workers should have been more meticulous.
(a) precise (b) punctual
(c) committed (d) no improvement
178. The chickens in his farm are fatted up nicely.
(a) are fattening (b) are fattying
(c) are fattened (d) no improvement
179. I was angry at myself for making such a big mistake.
(a) about (b) with
(c) on (d) no improvement
180. Torture and trauma has made her a mental patient.
(a) mad (b) mania
(c) lunatic (d) no improvement
DIRECTIONS (Qs. 181-185): In quest ions below, out of the
four alternatives, choose the one which can be substituted for
the given words/sentences and indicate it by blackening the
appropriate circle [·] in the Answer Sheet.
181. Walking in sleep :
(a) Sleepy-head (b) Somnolence
(c) Somnambulism (d) Insomnia
182. A person who leaves his own country in order to go and
live in another :
(a) emigrant (b) refugee
(c) immigrant (d) expatriate
183. Showing a dislike of anything improper :
(a) crude (b) prim(c) strict (d) rude
184. That which cannot be avoided :
(a) inevitable (b) indifferent
(c) inestimable (d) infallible
185. Artistic, musical or dramatic interpretation :
(a) reparation (b) report
(c) imitation (d) rendition
DIRECTIONS (Qs. 186-190) : In questions below, four words
are given in each question, out of which only one word is
correctly spelt, Find the correctly spelt word and mark youranswer in the Answer Sheet.
186. (a) curiosity (b) quriocity(c) curiousity (d) curioucity
187. (a) Intecedent (b) Antecedant
(c) Antecedent (d) Entecedent
188. (a) Symetry (b) Cemetery
(c) Cemetary (d) Cemetry
189. (a) naseating (b) maditation
(c) delibarate (d) aberrance
190. (a) ansestral (b) encestral
(c) ansastral (d) ancestral
DIRECTIONS (Qs. 191-195) : In questions below, you have a
passage with 5 questions. Read the passage carefully and
choose the best answer to each question out of the fouralternatives and mark it by blackening the appropriate circle
[·] in the Answer Sheet.
Research is a detailed study of a subject undertaken on a
systematic basis in order to increase the stock of knowledge,
including knowledge of man, culture and society, and the use of
this stock of knowledge to devise new applications. It is used to
establish or confirm facts, reaffirm the results of pervious work,
solve new or existing problems or develop new theories. To test
the validity of instruments, procedures or experiments research
may replicate elements of prior projects, or the project as a wholeThe primary purposes of basic research are documentation,
discovery, interpretation or the research and development of
methods and systems for the advancement of human knowledgeThere are several forms of research : scientific, humanities,artistic, economic, social, business, marketing, etc.
Academic publishing describes a system that is necessary
in order for academic scholars to review the work and make it
available for a wider audience. Most academic work is publishedin book form. There is also a large body of research that exists in
either a thesis or dissertation form. Many researchers spend
their time applying for grants for research funds. These grants
are necessary not only for researchers to carry out their research, but also as a source of merit.
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191. How many kinds of research are there ?
(a) There are seven different kinds of research.
(b) There are different kinds of research.
(c) There is only one kind of research.
(d) There are two different kinds of research.
192. Select the answer which best reflects the view expressed
in the passage.
(a) Grants are not based on merit.
(b) Researchers never apply for grants.(c) Research can thrive without grants.
(d) Documentation is important in research.
193. Why is research conducted ?
(a) Research is conducted in order to minimise the result
of previous works.
(b) Research is conducted in order to destroy facts.
(c) Research is conducted in order to develop new
problems.
(d) Research is conducted in order to verify information.
194. What is research ?
(a) Research is the destruction of previous works.
(b) Research is the creation of new forms of knowledge.(c) Research is a process having no practical use.
(d) Research is the attempt to limit the growth of
knowledge.
195. Choose the most appropriate answer from this passage.
(a) Academic publishing is meant only for academicians.
(b) Academic publishing is meant only for professionals
(c) Academic publishing is meant to benefit the general
public.
(d) Academic publishing is meant only for experts.
DIRECTIONS : In Questions No. 196 to 200, in the following
passage some of the words have been left out. Read the passage
carefully and choose the correct answer to each question outof the four alternatives and fill in the blanks.
A team of Indian engineers 196 shown that digital photographs
of the hand may 197 cholesterol levels in the body and serve as
an early warning signal 198 poor lipid health without a standard
blood test. Researchers believe the programme may be 199 in the
future and 200 into mobile phones to enable it to analyses digital
images of the hand captured in the camera on a mobile phone.
196. (a) has been (b) are
(c) have (d) has
197. (a) conceal (b) conjecture
(c) reveal (d) conduct
198. (a) of (b) before(c) at (d) by
199. (a) resolved (b) refined
(c) retracted (d) recorded
200 (a) formulated (b) featured
(c) loaded (d) fixed
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PART-A : GENERAL INTELLIGENCE & REASONING
1. (a) 9 × 3 – 3 = 24
3 × 3 – 3 = 6
2. (d) A hive is a shelter for bees
A eyrie is a large nest of an eagle.
3. (d) Letters are arranged in reverse order.
¾¾®S T A R R A T S
Similarly,
¾¾®W A R D D R A W
4. (d) Place value from D C B A
the left end (4) (3) (2) (1)
¯ ¯ ¯ ¯
W X Y Z
Place value from (4) (3) (2) (1)
the right end
Similarly,
Place value from I J K Lthe left end (9) (10) (11) (12)
¯ ¯ ¯ ¯
R Q P O
Place value from (9) (10) (11) (12)
the right end
5. (d) D H L P T X
B F J M R V
–2 –2 –2 –3 –2 –2
Similarly,
C G K O S W
A E I M Q U
–2 –2 –2 –3 –2 –2
6. (c) All numbers are prime.
7. (a) All others except (a) are prime numbers.
8. (b) Lotus grows in the water but rest grow on the land.9. (a)
(d) bbb ttt jjj
(a) mmm qqq ttt (b) ccc ggg kkk
(c) kkk ooo sss
+4 +4
+4 +3+4 +4
+4 +4Hence (a) is the odd one out.
10. (d) (a) 8 + 1 + 1 + 0 = 10
(b) 1 + 2 + 3 + 4 = 10
(c) 9 + 1 + 0 + 0 = 10
(d) 1 +1 + 8 + 9 = 19
Hence, (d) is the odd one out.
11. (b) Tin is element but rest are the alloys.
12. (c) HIUL13. (b) Arrangement according to dictionary
(2) (4) (5)(3)
(1)
Feather Feature Feed head Feminine
Fenestration
® ® ®
®
14. (d) Meaningful order is :
(6) (1) (4) (5)(3)
(2)
Rain Rivulet Tributary River Sea
Ocean
® ® ® ®
®
Hints Explanations
1 (a) 21 (a) 41 (a) 61 (c) 81 (d) 101 (a) 121 (a) 141 (b) 161 (b) 181 (c)
2 (d) 22 (d) 42 (c) 62 (d) 82 (a) 102 (a) 122 (*) 142 (d) 162 (a) 182 (a)
3 (d) 23 (b) 43 (d) 63 (a) 83 (a) 103 (d) 123 (*) 143 (a) 163 (c) 183 (b)
4 (d) 24 (b) 44 (c) 64 (a) 84 (a) 104 (c) 124 (b) 144 (c) 164 (d) 184 (a)
5 (d) 25 (c) 45 (c) 65 (d) 85 (c) 105 (d) 125 (c) 145 (c) 165 (b) 185 (d)
6 (c) 26 (d) 46 (b) 66 (a) 86 (d) 106 (c) 126 (a) 146 (d) 166 (d) 186 (a)
7 (a) 27 (a) 47 (c) 67 (d) 87 (c) 107 (d) 127 (a) 147 (c) 167 (d) 187 (b)
8 (b) 28 (d) 48 (a) 68 (a) 88 (d) 108 (c) 128 (a) 148 (b) 168 (c) 188 (b)
9 (a) 29 (d) 49 (b) 69 (c) 89 (b) 109 (b) 129 (c) 149 (a) 169 (a) 189 (d)
10 (d) 30 (d) 50 (b) 70 (c) 90 (d) 110 (a) 130 (d) 150 (c) 170 (c) 190 (d)
11 (b) 31 (b) 51 (b) 71 (d) 91 (a) 111 (c) 131 (d) 151 (c) 171 (c) 191 (b)
12 (c) 32 (b) 52 (d) 72 (b) 92 (d) 112 (a) 132 (d) 152 (a) 172 (d) 192 (d)
13 (b) 33 (a) 53 (c) 73 (d) 93 (a) 113 (d) 133 (a) 153 (c) 173 (c) 193 (d)
14 (d) 34 (b) 54 (c) 74 (a) 94 (c) 114 (d) 134 (c) 154 (a) 174 (c) 194 (b)
15 (b) 35 (b) 55 (d) 75 (a) 95 (b) 115 (b) 135 (b) 155 (d) 175 (d) 195 (c)
16 (b) 36 (b) 56 (c) 76 (d) 96 (d) 116 (c) 136 (a) 156 (b) 176 (a) 196 (c)
17 (d) 37 (a) 57 (c) 77 (c) 97 (d) 117 (*) 137 (d) 157 (a) 177 (a) 197 (c)
18 (b) 38 (d) 58 (c) 78 (d) 98 (d) 118 (c) 138 (a) 158 (a) 178 (a) 198 (a)
19 (c) 39 (b) 59 (c) 79 (a) 99 (d) 119 (b) 139 (b) 159 (c) 179 (b) 199 (b)
20 (a) 40 (b) 60 (d) 80 (d) 100 (c) 120 (d) 140 (c) 160 (a) 180 (c) 200 (c)
ANSWER KEY
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15. (b) Words LUB and TUP are in consecutive order.
L U B T U P L U B T U P L U B T U P L U B T U P
16. (b) The sequence BBCCA is repeated
B B C C A B B C C A B B C C A B B C C A
17. (d) There are two numbers series:
I.
24 20 16 12
–4 –4 –4
II.
35 31 27 23
–4 –4 –4
18. (b)1 50
77 7
=
2 508
6 6=
5 509
5 5=
2 5012
4 4=
2 5016
3 3=
50 50 50 50 50 50, , , , ,
7 6 5 4 3 2
19. (c) Let basic pay of A = ` x
Let basic pay of B = ` y
As per given condition
Total salary = x + 0.65 x = 1.65 x of A
Total salary of B = y + 0.80y = 1.8y
1.65x = 1.8 y
x
y=
1.8
1.65=
180
165=
12
11
So ratio of basic pay = 12:11
20. (a)
3 m 40 cm.24 m
16 m
A
B
So net height climbed in one day
= 16 – 3.40
= 12.6 m
21. (a) Let the speed of A and B in first lap = 3x and 2x.
Speed of A and B in second lap = 4x and 7x
Speed of A and B in third lap = 8x and 9x
Total speed of horse A = 8x + 4x + 3x = 15x
Total speed of horse B = 9x + 7x + 2x = 18x
Difference between A and B = 18x – 15x = 3x
So correct answer is (a).
22. (d) Minister cannot be formed as there is no 'e' in the word
'ADMINISTRATION'.
23. (b) Hearty cannot be formed as they is no 'y' in the word
'CHARACTER.
24. (b) 24 ¸ 6 × 4 + 9 – 84 × 4 + 9 – 8
16 + 9 – 8
25 –8 =17
25. (c) 7 × 6 ×4 = 674
Similarly,
9 × 1 × 2 = 192
26. (d) F I F T Y C A R
C A C T Y P O LCoded as®
Coded as
T A R I F F
T O L A C C27. (a) (´) sign has been changed by (+) sign.
Therefore, 9 + 8 + 7 = 24
4 + 7 + 3 = 14
2 + 1 + 9 = 12
28. (d) G O O D N E S S
H N P C O D T R
+1 –1 +1 –1 +1 –1 +1 –1
Similarly,
G R E A T N E S S
H Q F Z U M F R T
+1 –1 +1 –1 +1 –1 +1 –1 +1
29. (d) 14 + 9 = 23
9 × 5 = 45
23 + 45 = 68
30. (d) 3 + 4 + 3 = 10
4 + 6 + 4 = 14
8 + 6 + 6 = 20
8 + 3 +8 = 19
31. (b) 9 × 8 – 7 = 656 × 5 – 4 = 26
7 × 6 – 3 = 39
33. (a) Humanities
Sociology
Psychology
34. (b) There are 12 triangles in the given square.
A B
C
D E
F
G H
I
JK
LM
D ABC, D ACD,D ABD,D AFDD FGB,D HIG,D HJI, D IJK D HJK, D HML,D EKL, D CED
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35. (b)Reshma’s starting point
AB
CD
E
Now, Reshma is going to south direction36. (b)
S
EW
E NW
SW SE
Starting pointEnd
Point 1 5 k m
12 km
C
B
A
Distance from starting point = (152 –122)1/2
= (225 – 144)1/2 = (81)1/2 = 9 m
Hence, the answer is 9m
37. (a)
Scholars
Students
Teachers
38. (d)
Editor ewspaper Journalist
39. (b)Theatres
LaboratoriesSchools
Conclusions:
(I) True
(II) False
40. (b) Conclusions:
(I) False(II) True
48. (a)
49. (b) L A N E
¯ ¯ ¯ ¯31 87 32 97
50. (b) A I R S¯ ¯ ¯ ¯43 55 86 95
PART-B : GENERAL AWARENESS
51. (b) Mangrove trees act as a natural barrier against
cyclones and storms.54. (c) Chemotherapy is the use of medicines or drugs to treat
cancer.
55. (d) Oxygen is the most abundant element, making up
about 47% of the earth's mass.
58. (c) Kapil Dev's fast pace earned him the nickname,
'Haryana Hurricane'.
60. (d) Cheap Money policy is a monetary policy through
which a bank sets low interest rates so that credit is
easily achievable.
68. (a) Arya Samaj is an Indian religious reform movement
founded by Swami Dayananda on 7th April 1875.
73. (d) Edward Jenner is often cal led " the father of
immunology".74. (a) The Fundamental Rights are defined in Part III of the
Constitution which apply to every Indian citizen
irrespective of race, place of birth, religion, caste, creed
or gender.
75. (a) Market equilibrium is a market state where the supply
in the market is equal to the demand in the market.
80. (d) Potash Alum is used to reduce bleeding in minor cuts
and abrasions, nosebleeds, and haemorrhoids.
81. (d) The Cripps mission was an attempt in late March 1942
by the Bri tish government to secure full Indian
cooperation and support for their efforts in World War II.
84. (a) Hamida Banu Begam, also known as Haji Begam,
commenced the construction of Humayun tomb in1569.
86. (d) Chile is the world's largest copper producer, producing
1.79 million tons in 2013.
87. (c) Interferon is produced by the body's cells as a
defensive response to viruses.
89. (b) The first law of thermodynamics is a version of the law
of conservation of energy.
90. (d) "Kinship" says MacIver, creates society and society
at length creates the state."
98. (d) Laxmi, a victim of acid attack was selected by the US
for the prestigious International Women of Courage
Award.
100. (c) Article 167 defines the duties of the chief minister.
PART-C : QUANTITATIVE APTITUDE
101. (a) 2km 5m = 2100
5+ = 2.005 km
102. (a) Marked price = 20 % above CP
=120
CP100
´
Discount = 10%
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\ S.P. =100 10 120
CP100 100
-´ ´
= 0.9 × 1.2 × CP = 1.08 CP
S.P. = ` 216
C.P. =216
1.08=`200
103. (d) Distance covered = Speed × Time =25
40 250 km4
´ =
New speed= 50 km/hour
\ Time taken to cover same distance =250
5h50
=
104. (c) C.P. = ` 250
S.P. = ` 10 per 50 g
=1000
1050
´ = ` 200
\ Loss =250 200
100 20%250
-´ =
105. (d) 0.0539 – 0.002 = 0.0519
0.56 × 0.07 = 0.03920.0519 × 0.4 = 0.02076
0.04 × 0.25 = 0.01
So(0.0539 0.002) 0.4 0.56 0.07
0.04 0.25
- ´ + ´
´
=0.0519 0.4 0.0392
0.01
´ +
=0.02076 0.0392
0.01
+=5.996
106. (c) Let original, area height, and base of triangle is a, hand b
New area, height and base of triangle is A, H, B
H =110
h100
Þ H = 1.1 h
Original area (a) =1
b h2
´ ´
New area (A) =1
B H2
´ ´
A =1
B 1.1h2
´ ´
But A = a
1 1B 1.1h b h
2 2\ ´ ´ = ´ ´
B 1
b 1.1=
B = 0.9b
\ Corresponding base must be decreased by
1 0.9100 10%
1
-´ =
107. (d) Mean of x and1
x= M
Þ1 1
x2 x
æ ö+ç ÷
è ø= M
Þ
2x 1
2x
+= M
Mean of x2 and 21
x=
2
2
1 1x
2 x
æ ö+ç ÷è ø
=
4
2
x 1
2x
+
=
2 2
2
(x 1) 2 x
2x
+ -
=
2 2
2
(2 xM) 2x
2x
-
=
2 2
24x M 1
2x-
= 2M2 –1
108. (c) Rate of growth =48, 400 40, 000 1
10040,000 2
-´ ´ = 10.5%
109. (b) CP = 0.75 × MP
SP = MP + 40
1.4 CP = M.P + 40
1.4 (0.75) MP = M.P + 40
1.05 MP = M.P. + 40
(1.05 – 1) MP = 40
M.P. = 400.05
= ` 800
\CP = 0.75 M.P. = 0.75 × 800 = ` 600
110. (a) Total distance = Length of train + Length of bridge
= 120 + 360 = 480 m
Speed = 36 km/h =36 1000
10 m/sec3600
´=
So time =Distance 480
48 secSpeed 10
= =
111. (c) Ratio of income of x and y = 4 : 3
Ratio of expenditure of x and y = 12 : 7
Saving of x = 4a – 12b = 3200 ...(i)Saving of y = 3a – 7b= 300 ..(ii)
Solving (i) and (ii)
12a 36b 960012a 28b 12800
8b 3200
- =- =+ --- =
b = 400
Now 3a = 3200 + 7b = 3200 + 7 (400) = 6000
a = ` 2000
So income of x = ` 2000
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112. (a) 12 monkeys can eat 12 bananas in 12 minutes
So 1 monkey can eat 1 banana in 12 minutes
4 monkeys can eat 4 banananas in 12 minutes
113 (d) S.I of 3 years = ` 540
S.I. of 1 year =540
3= ` 180
S.I. of 2 years = 2 × 180 = ` 360
CI of 2 years = ` 376.20
Difference between CI and SI = 376.20 – 360=`16.20
If we take P = ` 180 R = R% and Time = 1 year
180 R 116.20
100
´ ´=
R =1620
9%180
=
So S.I. = 540 = P × 9 ×3
100
P =540 100
9 3
´
´= ` 2000
114. (d) Let number of natural numbers be x
\ 15x + 30 – 5 = 17.5 x
25 = 2.5x
x =25
102.5
´
So 10 natural numbers are there.
115. (b) 59535 = 7 × 7 × 3 × 3 × 3 × 3 × 3 × 5
So if we multiply by 3 × 5 then 59535 × 15 = 893025 will
be perfect square
So smallest whole number is 15.
So sum of digits is 1 + 5 = 6
116. (c) Present age of A and B
A 3A 3B
B 1= Þ =
4 years earlier ratio of ages of A and B
A 4 4
B 4 1
-=
-= A – 4 = 4B – 16
A – 4B = – 12
3B – 4B = – 12
– B = – 12
So B = 12 and A = 12 × 3 = 36 years
117. (*)
10 25 108 154 125
3 8
+ + + +
=10 25 108 154 15
3 8
+ + + + ( )169 13=Q
=10 25 108 13
3 8
+ + + ( )121 11=Q
=10 25 11
3 8
+ + ( )25 11 6+ =Q
=10 6
3 8
+=
4
3 8
=
( )
4 2 2 2 2 2 2
2 3 63 2 23 2 2= ´ = =
´
All 4 options are incorrect. Correct answer is2 2
.6
118. (c) 32x – y = 3x + y =
3
227 3=
Þ 2x – y =3
2 x + y =
3
2
4x – 2y = 3 ...(i)
2x + 2y = 3 ...(ii)
Solving equation (i) and (ii)
x = 1 y =
1
2
Þ
1 11
2 23 3 3-
= =
119. (b) Cumulative % change = a + b +ab
100
Cumulative change to be 0
So a + b +ab
100= 0
Here a = x%
Soxb
x b100
+ + = 0
Þx
b 1100
æ ö+ç ÷
è ø= –x
b =x(100)
100 x
-
+
=100x
100 x
-
+ – ve sign means decrease
So we need to decrease the number by100x
%100 x+
120. (d) C.P = ` 600
Let number of apples thrown = xSo number of apples left = 240 – x
So S.P.= (240 – x) 3.50
= 840 – 3.5x
So 840 – 3.5 x – 600 =198
240 – 3.5 x = 198
x =42
123.5
=
So % age of apples thrown =12
100 5%240
´ =
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121. (a) 1 men 1 day's work =1 1
20 18 360=
´
20 men 3 days work =1 1
318 6
´ =
Remaining work =1 5
16 6
- =
25 men 1 days work = 125360
´ = 572
Now5
72 work is done by them in 1 day
5
6 work is done by them in
72 512 days
5 6´ =
122. (*) % increase in quantity from 1997 to 1998
=150 130 200
100 15.4% (app.)130 13
-´ = =
None of the options are correct.
Correct answer is 15.4%.123. (*) % age fall in value from 2000 to 2001
=500 120 380
100 100500 500
-´ = ´ = 76%
None of the options are correct
Correct answer is 76%
124. (b) Difference between the bags exported in 1999 and
2000 = 200 – 100 = 100 lakh = 100,00,000
125. (c) It is clear from bar graph
Value per bag is minimum in 1996.
126. (a) As per given condition
x2 – 1896 = x – 4
x2 – 1896 – x + 4 = 0
x2 – x – 1892 = 0x2 – 44x + 43x – 1892 = 0
x(x – 44) + 43 (x – 44) = 0
(x – 44) (x + 43) = 0
x = 44
So value of x is 44.
127. (a)
1 cm
1 c m 1 c
m
1 cm 1 cm
1 cmRegular equilateral triangular pyramid
Total surface area of pyramid
= 4 × Area of Equilateral triangle
=3
4 (1)4
´ = 3 sq. cm
128. (a) Perimeter of quadrant of a circle = 75 cm
1(2 r) 2 r
4p + = 75
2r 14
pæ ö+ç ÷
è ø= 75
2r =75(4)
4p +=
300
4p +
r =300 1
4 2´
p += 21 cm
129. (c) InD
ABCBE is median of AC
CF is median of AB
\CE =1 1
AC 222 2
= ´
= 11 cm
A
B C
EFy
2x2y
x
2 2 c m 1 9
c m
O
BF =1 1
AB 192 2
= ´
= 9.5 cm
BE and CF are medians of DABC which intersect a
point O.
Ratio of OB and OE = 2 : 1
Ratio of OC and OF = 2 : 1Let BO = 2x OE = x
and
OC = 2y OF = y
InD OEC EC = 2 2x (2y)+
(11)2 = x2 + 4y2 Þ x2 + 4y2 = 121 ...(i)
In DOFB FB = 2 2(2 x) (y)+
(9.5)2 = 4x2 + y2
90.25 = 4x2 + y2 ...(ii)
Solving equations (i) and (ii)
x = 4 y = 5.1
InDOEF EF = 2 2(4) (5.1)+ = 16 26+ = 6.5 cm
\BC = 2EF = 2 × 6.5 = 13 cm130. (d)
60°45°
h
x 40
A
S1 S2
BC D
Let S1 and S2 be the two different positions of sunand AB is the tower
InDABC
tan 45° =h
x (Q tan 45° = 1)
h = x
InDABD tan 60° =h
x 40+
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3 =h x
x 40 x 40=
+ +
( )3 1 x- = 40 3
x =40 3 3 1
3 1 3 1
+´
- +=
( )40 3 3 13 1
+
-
= ( )20 3 3 1+ = ( )20 3 3 m+131. (d) In DABC
ÐBAC = 50° (Given)
O is circumcentre ofDABC
ÐBOC = 2ÐBAC
A
O
B C
50°
= 2´ 50°
= 100°
(Q Angle subtended by sides of orthocenter will be
double the angle subtended by two sides of a triangle)
\ InDOBC = OB = OC
(Q Orthocenter O is equidistant from vertices of a
triangle)
\ InDOBC
ÐOBC =ÐOCB =1
(180 100 )2
° - ° =1
802
´ ° = 40°
ÐOBC = 40°
132. (d) 2 sina + 15 cos2a = 7 where a is acute angle
Þ 2 sina + 15 (1– sin2a) = 7
Þ 2 sina + 15 – 15 sin2a – 7 = 0
Þ – 15 sin2a+ 2 sina + 8 = 0
Þ 15 sin2a – 2 sina – 8 = 0
Let sina = t
So 15t2 – 2t – 8 = 0
15t2 – 12t + 10t – 8 = 0
3t (5t – 4) + 2 (5t – 4) = 0
Þ 5t – 4 = 0 3t + 2= 0
t = 45 t =2
3- (–ve value not possible)
\ sin a=4
5
cos a =2 25 4
5
-=
3
5
\ cot a =cos 3 5 3
sin 5 4 4
a= ´ =
a
133. (a) Volume of prism = base are × height= A × h
New volume =h
A2
´
\% decrease in volume =
AhAh
2 100Ah
-´
=1
100 50%2
´ =
134. (c) sinq + sin2q = 1
Þ sinq = 1 – sin2q
Þ sinq = cos2q
Squaring both sides
Þ sin2q = cos4q
Þ 1 – cos2q = cos4q
Þ cos2q + cos4q = 1
135. (b) 999x + 888y =1332
111(9x + 8y) = 1332
9x + 8y =1332
111= 12
9x + 8y = 12 ...(i)
888x + 999y =555
8x + 9y = 5 ...(ii)
Solving (i) and (ii)
x = 4 y = – 3
x + y = 4 – 3 = 1136. (a) 4x2 + 8x
= (2x)2 + 2(2x) (2) + (2)2
= (2x + 2)2 \ x2 + y2 + 2xy = (x + y)2
So, 4 should be added to make it perfect square.
137. (d)Q
PO
R
M
Line joining the centre is ̂bisector of common chord
\ QM = MR =1 1
QR 12 6cm2 2
= ´ =
InDOMQ,ÐOMQ = 90°
OQ2 = OM2 + MQ2 (Pythagorus theorem)
102 = OM2 + 62
OM2 = 100 – 36 = 64
OM =8cm
In DQMPÐQMP = 90°
QP2 = QM2 + PM2 (Pythagorus theorem)
82 = 62 + PM2
PM =64 – 36 = 28 2 7=
OP = OM + MP
= 8 2 7+
So distance between centres O and P
= 8 2 7 13.3 cm+ =138. (a) 239x – 239y + 5 = 0 writing this equation slop-intercept
in form
–239y = – 5 – 239x
239y = 5 + 239x
y =5
x239
+
So slope =tanq = 1
q= 45°
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139. (b) sin (A – B) = sin A cos B – cos A sin B\ sin (45° – 30°) = sin 45° cos 30° – cos 45° sin 30°
=1 3 1 1
2 22 2
æ ö æ ö´ - ´ç ÷ ç ÷ç ÷ è øè ø
=3 1
2 2 2 2- =
3 1
2 2
-
140. (c)
1
x x+
= 2Take cube on both sides
31
xx
æ ö+ç ÷
è ø= 23
3
3
1 1 1x 3(x) x
x xx
æ öæ ö+ + +ç ÷ç ÷
è øè ø= 8
3
3
1x 3(2)
x+ + = 8
3
3
1x
x+ = 2
Squaring on both sides
6
6
1x 2
x+ + = 4
6
6
1x
x+ = 2
Now multiplying both sides by x
6
6
1x x
x
æ ö+ç ÷
è ø= 2xÞ
7
5
1x
x+ = 2x
1x
x+ = 2
x2 +1 = 2xx2 – 2x + 1 = 0x2 – x – x +1 = 0x(x – 1) –1(x – 1)(x –1)2 = 0x = 1
So7
5
1x
x+ = 2(1) =2
141. (b) Number of stones required =Area of courtyard
Area of stones
=30 17.5
2.5 2
´
´=105
142. (d) Let height of the pillar is h mInDACD
tana =h
12
InDABD
tan (90 –a) =h
27 B C D
12 m27 m
A
h
9 0 –
a
a
cot a =h
27
1
tan a =
h
27
12
h =
h
27
h = 27 12 18cm´ =
143. (a) In DADC
Area of DADC = 1 DP AC2
´ ´
CD
A B
P
Q8 cm1 3 c m
Area ofDADC =1
8 242
´ ´ = 96 m2
Area ofDBAC =1
13 24
2
´ ´ = 156 m2
Area of Quadrilateral = 96 + 156 = 252 m2
144. (c)A
BD C
P
Q S R
Area of ABC
Area of PQR
D
D =
2
2
(AD)
(PS)
AD
PS=
9 3
16 4=
145. (c) A
B C
P
Q R
Perimeter ABC
Perimeter PQR
D
D=
AB
PQ
30
20=
9
PQ
PQ =20 9
30
´= 6 cm
146. (d) Amount spent on state development
=15
3,00,000100
´ = ` 45,000 crore
Amount spent on sports=18
3,00,000360 20
´
= `15,000 crore
So difference between amount spent on two heads
= 45,000 – 15,000 = 30,000 crores.
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147. (c) Money spent on non plan = 36°
36° is 10% of 360°
Money spent on defence = 15%
So percent of less money = 15 – 10 = 5%
148. (b) Money spent on others = 30%
Money spent on sports = 18°
18° is 5% of 360°
So difference = 30 – 5 = 25%
149. (a) Amount spent on health =54
1,00,000360
´
= ` 15,000 crore
Amount spent on education =10
1,00,000100
´
= ` 10,000 crore
Total amount spent = 15,000 +10,000 = 25,000 crore
150. (c) % of total spending spent on health
=54
100360
´ = 15%
PART-D : ENGLISH COMPREHENSION
161. (b) Annihilate means to destroy utterly.
162. (a) Query means a quest or pursuit for an object.
163. (c) Interference means act of interfering or obstructing.
164. (d) Verisimilitude means the state of being similar
Therefore, authenticity is the correct meaning of
verisimilitude.
165. (b) Conjecture means an opinion or guess formed on the
basis of incomplete information.
166. (d) Unscrupulous means having or showing no moral
principles whereas Conscientious means wishing to
do one's work or duty well. Therefore, Unscrupulous
is the antonym of Conscientious.
167. (d) Tranquil means free from disturbance. Therefore,tranquil is the antonym of disturbed.
168. (c) Enlarge means to make something larger or more
extensive whereas condense means to make something
more dense or compact. Therefore, enlarge is the
antonym of condense.
169. (a) Obsequious means obedient or attentive to an
excessive or servile degree whereas domineering
means trying to control the behaviour of others.
170. (c) Vacillate means to be indecisive whereas decide means
come or bring to a resolution. Therefore, Vacillate is
the antonym of decide.
181. (c) Somnambulism means sleepwalking.
182. (a) Emigrant means a person who leaves their own countryin order to settle permanently in another.
183. (b) Prim means feeling or showing disapproval of anything
184. (a) Inevitable means something which is certain to happen
185. (d) Rendition means a performance or interpretation,
especially of a dramatic role or piece of music.