02.Practice Set SSC-CGL TIER I.pdf
Transcript of 02.Practice Set SSC-CGL TIER I.pdf
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PRACTICE SET
SSC-CGL TIER-IPart A: General Intelligence And
Reasoning
Directions: In question nos. 1 to 9, select the related
words/letters/number from the given alternatives.
1. EGI : HEL : : JLN : ?
(A) MQJ (B) MJQ
(C) MQR (D) MOQ
2. KOP : RVW : : FJK : ?
(A) RQM (B) MRQ
(C) GKL (D) MQR
3. RS : PU : : TV : ?(A) SU (B) SY
(C) SW (D) WX
4. 25 : 343 : 32 : ?
(A) 125 (B) 216
(C) 512 (D) 81
5. 85 : 55 : : 95 : ?
(A) 65 (B) 81
(C) 72 (D) 25
6. 74 : 65 : : 36 : ?
(A) 39 (B) 54 (C) 45 (D) 90
7. Touch : Push : : ?
(A) Pull : Draw (B) Cup : Glass
(C) Milk : Tea (D) Sip : Gulp8. Window : Panes : : Book : ?
(A) Covers (B) Pages
(C) Letters (D) Novels
9. Truck : Scooter : Gear : : ?
(A) Home : Hut : Palace (B) Horse : Ox : Big
(C) Dog : Squirrel : Tail (D) Tiger : Fox : Water
Directions: In questions nos. 10 to 14, find the odd
word/numbers/letters from the given alternatives.
10. (A) HI (B) DE
(C) PQ (D) UV
11. (A) CEI (B) FHL
(C) JMQ (D) PRV
12. (A) 7 26 (B) 5 31
(C) 9 32 (D) 10 35
13. (A)2
1(B)
9
5
(C)13
2(D)
7
9
14. (A) Mensuration (B) Geography
(C) Algebra (D) Arithmetic
Directions: In question nos. 15 and 16 arrange thegiven words as per order in the English dictionary and
select the option indicating the correct order.
15. 1. Jasper 2. Japanese
3. January 4. Jasmine
5. Jaguar
(A) 5, 3, 4, 2, 1 (B) 5, 4, 3, 2, 1
(C) 5, 1, 2, 4, 3 (D) 5, 3, 2, 4, 1
16. 1. Pachyderm 2. Pacific
3. Pacifism 4. Pacification
5. Pacemaker
(A) 5, 1, 2, 4, 3 (B) 5, 1, 2, 3, 4
(C) 5, 1, 4, 3, 2 (D) 1, 2, 3, 4, 5
Directions: In questions nos. 17 to 21 a series is
given with one term missing. Choose the correct
alternative from the given ones.
17. G K M Q S ?
(A) Y (B) W (C) X (D) U
18. 29 121 16 49 ?
(A) 81 (B) 64 (C) 169 (D) 25
19. 7 28 84 168 ?
(A) 260 (B) 168 (C) 336 (D) 504
20. DFH IKM NPR ?
(A) SUW (B) SWU (C) TVX (D) STU
21. DF GJ KM NQ ?
(A) ST (B) TV (C) RU (D) RTDirections: In question nos. 22 to 24, from the given
alternative words, select the word which cannot be formed
using the letters of the given word.
22. ENDEAVOUR
(A) ROUND (B) NEVER
(C) DROWN (D) DROVE
23. TRIBUNAL
(A) BRAIN (B) LATIN
(C) BAIL (D) BUNDLE
24. DEPARTMENT
(A) PAYMENT (B) READ
(C) TEMPER (D) ENTER
25. Which of the following interchanges of signs wouldmake the given equation correct?
8 2 + 9 6 3 =2
33
(A) and + (B) and
(C) + and (D) and =
26. Identify the symbols to be inserted in place of to
make the expression correct.
3 3 12 8 20
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(A) + = (B) = +
(C) + = (D) = +
27. Which of the following interchanges of signs would
make the given equation correct?
6 + 12 6 17 3 = 25
(A) + and (B) and
(C) + and (D) and
Directions: In question nos 28 to 30, find the missing
number from the given responses.
28.
(A) 29 (B) 20
(C) 51 (D) 48
29.
(A) 10 (B) 24 (C) 30 (D) 8
30.
(A) 620 (B) 900
(C) 930 (D) 830
31. A starts from Z, meets K, and after that he meets M,
and finally he meets D. During this, he walks in a
straight line. The distance between every friend he
meets increases by 5 metres. If the distance between
Z and K is 20 metres, then how much total distance
did he cover?(A) 70m (B) 60m
(C) 30m (D) 75m
32. There are four trees A, M, B and P. Tree A is exactly
between tree P and B. Tree P is 20m towards north of
tree B. Tree M is 10 metres towards East of tree A.
Tree B is in which direction with respect to tree M?
(A) East (B) South-West
(C) South (D) North-West
33. If PLAIN is coded as LPIAO, then FLOUR will be coded
as
(A) LFUOS (B) LFOUS
(C) LOFUR (D) LUORF
34. If RETURN is coded as 243126 and UNION is coded
as 16856, then ROTTEN will be coded as
(A) 2463346 (B) 2436856
(C) 253346 (D) 4426326
35. In a certain code RELATION is coded as BCJSOGMU
then how is IDENTIFY coded in that language?
(A) OBCZJGDU (B) OBCZUJGR
(C) OBCJUDGZ (D) OBCJZGDU
36. P, K, Q, J, R and T are sitting around a circular table.
Two persons Q and J are sitting opposite each other. P
sits second to the right of K. Q is not the neighbour of
R. Who sits second to the left of J?
(A) Q (B) P (C) K (D) R
Directions (Q. 37-38): In questions number 37 and
38, study the following diagram carefully and answer the
questions based on it.
37. The diagram shows the survey on a sample of 500
persons with reference to the number of males, females
and children. 90 represents the group of which of the
following persons?
(A) Males, Females
(B) Females, Children(C) Children, Males
(D) Females, Children, Males
38. Which of the following number represents all males,
females and children?
(A) 150 (B) 130
(C) 70 (D) 80
Directions: In question nos. 39 and 40, two statements
are given followed by two conclusions I and II. You have to
consider both the statements to be true even if they seem
to be at variance with commonly known facts. You have to
decide which of the given conclusions, if any, logically
follows from the given statements.
39. Statements: I. Some numbers are odd. Some odds areeven.
II. All evens are pens. All pens are letters.
Conclusions: I. Some letters are odd.
II. Some numbers are pens.
(A) Only conclusion I follows
(B) Only conclusion II follows
(C) Both conclusions I and II follow
(D) Neither conclusion I nor II follows
40. Statements: All bags are caps.
Some caps are hats.
Conclusions: I. Some caps are bags.
II. All caps being bags is a possibility.
(A) Only conclusion I follows
(B) Only conclusion II follows
(C) Neither conclusion I nor II follows
(D) Both conclusions I and II follow
41. A piece of paper is folded and punched as shown
below in the Question Figures. From the given Answer
Figures, indicate how it will appear when opened.
Question Figures
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Answer Figures
(A) (B) (C) (D)
42. Which of the following Answer Figures will complete
the pattern in the Question Figure?
Question Figure
Answer Figures
(A) (B) (C) (D)
43. If a mirror is a placed on the line YZ, which of the
Answer Figures is the virtual image of the given figure?
Question Figures
Answer Figures
(A) (B) (C) (D)
44. Identify the Answer Figure from which the pieces given
in the Question Figure have been cut.
Question Figure
Answer Figures
(A) (B) (C) (D)
45. Which of the following boxes cannot be formed by
folding?
(A) (B)
(C) (D)
46. Three persons A, B and C travel a distance of 8 km by
an autorickshaw. The auto driver demanded `80. A
gave him sixty rupees and B gave him 20 rupees.
Reaching a fruit shop, A borrowed `40 from B for
buying fruits. After reaching home, C gave 30 rupees
to A. Then A gave 30 rupees to B and got 15 rupees
back. On the basis of the given information find the
amount spent by A.
(A) `5 (B) `30(C)`10 (D) No expense at all
47. Find the number of squares in the given figure.
(A) 55 (B) 54
(C) 60 (D) 48
48. Which Answer Figure will complete the design in the
Question Figure?Question Figure
Answer Figures
(A) (B) (C) (D)
49. If a mirror is placed on the line XY, which of the AnswerFigures is the virtual image of the given Question
Figure?
Question Figure
Answer Figures
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(A) (B) (C) (D)
50. A word is represented by only one set of numbers asgiven in any one of the alternatives. The set of
numbers given in the alternatives is represented by
two classes of alphabets as in the two Matrices given
below. The columns and rows of Matrix I are numbered
from 0 to 4 and those of Matrix II are numbered from 5
to 9. A letter from the Matrices can be represented first
by its row and then by its column, eg A can be
represented by 01, 40, etc and K can be represented
by 55, 68 etc. Similarly you have to identify the set for
TOPIC.
Matrix I
0 1 2 3 4
0 P A E F G
1 F I A G H
2 I D H P G
3 E F I A P
4 A G E D F
Matrix II
5 6 7 8 9
5 K L M N O
6 N O L K M
7 T S U C N
8 U C K M L
9 C U T S K
(A) 75, 34, 66, 86, 11
(B) 97, 59, 23, 95, 32
(C) 97, 66, 23, 86, 20
(D) 97, 59, 23, 32, 78
Part B: General Awareness
51. The Constitutional Amendment Bill can be initiated in
(A) the Lok Sabha
(B) the Rajya Sabha
(C) the State Assemblies
(D) Either of the two houses of the Parliament
52. The Supreme Court has overturned a 2009 Delhi High
Court judgment and recriminalised gay sex in India
under which of the following sections of the Indian
Penal Code?
(A) 371 (B) 374 (C) 376 (D) 377
53. The paintings of Ajanta depict stories of:(A) Buddha (B) Mahabharata
(C) Chandragupta (D) Ashoka
54. As per Article 164 of the Constitution, the number of
ministers of the state assemblies cannot be in excess
of _____of assembly seats.
(A) 10 per cent (B) 12 per cent
(C) 15 per cent (D) 18 per cent
55. Consider the following dynasties who ruled the
Sultanate of Delhi:
1. Tughlaqs 2. Lodhis
3. Slaves 4. Khiljis
Arrange the above dynasties in chronological order
using the codes given below:
(A) 3, 1, 4, 2 (B) 1, 3, 2, 4
(C) 3, 4. 1, 2 (D) 2, 1, 4, 3
56. Temujin Khan, the Mongol leader who rose from a
humble beginning to establish the largest land empire
in history, was later known as
(A) Tamerlane (B) Genghis Khan
(C) Batu Khan (D) Kublai Khan
57. Which of the following are the three groups of decision
makers in the economy?
(A) households, business firms, banks
(B) business firms, banks, foreign traders
(C) business firms, govts, banks
(D) households, business firms, and govts
58. An individual being unable to find a job because his/
her job skills have become obsolete is termed as:(A) Hidden unemployment
(D) Seasonal unemployment
(C) Cyclical unemployment
(D) Structural unemployment
59. What does tight monetary policy of the RBI refer
to?
(A) Decrease the demand for money
(B) Contract the supply of money
(C) Expand the supply of money
(D) Increase the demand for money
60. In which of the following cases the aggregate demand
curve would shift down?
(A) Taxes being increased(B) Money supply being increased
(C) Govt spending being increased
(D) Interest rate being decreased
61. Which of the following hurdles needs to be overcome
to achieve the goal of financial inclusion?
(A) Illiteracy (B) Lack of bank branches
(C) Low income (D) All the above
62. Who among the following was the first speaker of the
Lok Sabha?
(A) Neelam Sanjiva Reddy
(B) Sardar Hukam Singh
(C) MA Ayyangar
(D) Ganesh Vasudev Mavlankar63. Which of the following is the worlds largest
landlocked country?
(A) Ethiopia (B) Chad
(C) Kazakhstan (D) Mongolia
64. Match the states and their present chief ministers and
answer the question on the basis of codes given below:
1. Rajasthan a. Lal Thanhawla
2. Madhya Pradesh b. Raman Singh
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3. Chhattisgarh c. Vasundhara Raje
4. Mizoram d. Shivraj Singh Chouhan
1 2 3 4
(A) c d b a
(B) d c b a
(C) c b a d
(D) a d c b
65. Which of the following plants is used to extract bio-
diesel?
(A) Soybean (B) Castor
(C) Jatropha (D) Aloe Vera
66. Which of the following flowers is credited to have the
worlds largest bloom?
(A) Gustavia augusta (B)Rafflesia arnoldii
(C) Lilium (D) Iris
67. The term Ekistics is related to
(A) Human settlements (B) Human evolution
(C) Human behaviour (D) Human diseases
68. The method of scientific dating based on the analysisof tree-ring growth patterns is called
(A) Dendrochronology (B) Glaciospeleology
(C) Geomorphology (D) Orology
69. The company that launched the first mobile phone
operation in India is
(A) BSNL (B) Modi Telstra
(C) BPL (D) Reliance
70. Which of the following pairs of books and their authors
is NOT matched correctly?
(A) Mudrarakshasa Visakhadatta
(B) Kadambari Banabhatta
(C) Padmavat Malik Muhammad Jayasi
(D) Malavikagnimitram Ashvaghosha71. Match the following Vedas and Upanishadas attached
to them and answer the question on the basis of the
codes given below:
1. Rig Veda a. Mundaka
2. Yajur Veda b. Chhandogya
3. Sam Veda c. Katha
4. Atharva Veda d. Aitareya
1 2 3 4
(A) c d b a
(B) a c b d
(C) d c b a
(D) b d c a
72. Which of the following pairs of various conceptsregarding the origin of earth and scientists/
philosophers behind them is NOT matched correctly?
(A) Gaseous Hypothesis Immanuel Kant
(B) Nebular Hypothesis Laplace
(C) Supernova Hypothesis Russell
(D) Big Bang Theory Georges-Henri Lemaitre
73. Island Diu is situated near the state of
(A) Maharashtra (B) Gujarat
(C) Goa (D) Kerala
74. Which of the following passes is located in the state
of Sikkim?
(A) Zojila (B) Dungri La
(C) Shipki La (D) Nathu La
75. What is the geographical term used for the depression
formed due to deflating action of winds?
(A) Yardang (B) Cyclone
(C) Tsunami (D) Tide
76. Which of the following is used to check a condition in
a programming language?
(A) OR (B) IF
(C) NOT (D) All the above
77. A network based on TCP/IP protocols belonging to
an organisation which is accessible only by the
organisations members, employees, or others with
authorisation is called:
(A) Extranet (B) WAN
(C) MAN (D) Intranet
78. The main storage area of an e-mail account is called(A) Sent Mail (B) Inbox
(C) Drafts (D) Trash
79. Which of the following processes takes place inside a
bio-gas plant?
(A) Hydrogenation (B) Multiplication
(C) Reduction (D) Fermentation
80. Which of the following chemicals is used to preserve
food items?
(A) Sodium Benzoate
(B) Sodium Chloride
(C) Sodium Hydroxide
(D) Sodium Carbonate
81. Which of the following is being consumed by theathletes for the sake of instant energy?
(A) Vitamin C (B) Sodium Chloride
(C) Calcium (D) Sucrose
82. Match the following metals with their ores and answer
the question on the basis of codes given below:
1. Aluminium a. Galena
2. Lead b. Malachite
3. Copper c. Bauxite
4. Uranium d. Pitch Blende
1 2 3 4
(A) c d b a
(B) d c b a
(C) c a b d (D) a d c b
83. Which of the following substances consists of only
one element?
(A) Sand (B) Water
(C) Glass (D) Diamond
84. Who among the following has been credited for the
discovery of blood groups of human beings?
(A) GJ Mendel
(B) Hugo de Vries
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(C) William Harvey
(D) Karl Landsteiner
85. Formation of a mirage is an optical illusion which takes
place due to
(A) Polarisation of light (B) Refraction of light
(C) Total internal reflection (D) Scattering of light
86. Why is the wire in an electric fitting earthed?
(A) To reduce the power consumption
(B) To prevent the current from being wasted
(C) To facilitate the passage of current in case of short
circuit
(D) None of these
87. Chemotherapy deals with which of the following
fields?
(A) Use of chemicals in warfare
(B) Use of chemicals in industries
(C) Use of chemicals in the treatment of human
diseases
(D) All the above88. Alternating Current (AC) changes
(A) its magnitude and direction both
(B) its magnitude only
(C) its direction only
(D) None of the above
89. Name the country which has become the first country
of the world to legalise marijuana.
(A) Uruguay (B) Paraguay
(C) Ukraine (D) Vietnam
90. Which of the following is the first Indian company to
be listed on NASDAQ?
(A) Bharti Airtel (B) Satyam
(C) Infosys (D) TCS91. One barrel of oil is approximately equivalent to
(A) 200 litres (B) 150 litres
(C) 120 litres (D) 160 litres
92. As per the provisions of Indias Civil Nuclear Liability
Act, an operator of a nuclear plant will be liable for
damages worth up to
(A) `1,000 cr (B) `1,500 cr(C) `2,000 cr (D) `2,500 cr
93. Which of the following international airports of India
has been renamed after Nadaprabhu Kempe Gowda,
the person who founded the concerned city in 16th
century?
(A) Cochin International Airport(B) Mangalore International Airport
(C) Goa International Airport
(D) Bengaluru International Airport
94. Which of the following teams has won womens 2013
Kabaddi World Cup championships for the third time
in a row?
(A) New Zealand (B) India
(C) Nepal (D) China
95. Who invented microchip?
(A) Adam Osborne
(B) Charles Babbage
(C) Douglas Engelbart
(D) Jack Kilby and Robert Noyce
96. Who among the following has bagged the Emerging
Cricketer of the Year trophy at the 2013 ICC Annual
awards recently?
(A) Virat Kohli (B) R Ashwin
(C) Cheteshwar Pujara (D) Shikhar Dhawan
97. The International Mountain Day is observed on
(A) 11 Dec (B) 12 Dec
(C) 13 Dec (D) 14 Dec
98. Who among the following has been bestowed with
the prestigious Mother Teresa Memorial International
Award for Social Justice 2013?
(A) Shabana Azmi (B) Nandita Das
(C) Sushmita Sen (D) Raveena Tandon
99. The legislative assembly of which of the following
states has passed the Anti-Superstition Bill?(A) Assam (B) Odisha
(C) West Bengal (D) Maharashtra
100. Justice (retired) DP Buch took oath as the Lokayukta
of which of the following Indian states recently after
the post remained vacant for as much as a decade
(since Dec 2003)?
(A) Madhya Pradesh (B) Maharashtra
(C) Gujarat (D) West Bengal
Part C: Quantitative Aptitude
101. The radius of a circle, having centre at (2, 1), whose
one of the chords is a diameter of the circle x2+ y2 2x 6y + 6 = 0 is
(A) 1 (B) 2
(C) 3 (D) 3
102. The area of an equilateral triangle inscribed in the circle
x2+ y2+ 2gx + 2fy + c = 0 is
(A) )cfg(2
33 22 (B) )cfg(
4
33 22
(C) )cfg(4
33 22 (D) )cfg(
2
33 22
103. The circle x2
+ y2
8x + 4y + 4 = 0 touches(A) x-axis
(B) y-axis
(C) Both axes
(D) Neither x-axis nor y-axis
104. The radius of the circle passing through the point
(6, 2)and two of whose diameters are x + y = 6 andx + 2y = 4, is
(A) 4 (B) 6 (C) 20 (D) 20
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105. The expressionAcot3Acot
1
tanA3Atan
1 is
equal to
(A) cot 2A (B) tan 2A
(C) cot 3A (D) tan 3A
106. If cosec = x +x4
1, then the value of cosec + cot is
(A) 2x (B) 2x
(C)x2
1(D)
x3
1
107. The value of the expression
2(sin6 + cos6 ) 3(sin4 + cos4 ) + 1 is
(A) 1 (B) 1
(C) 0 (D) 2
108. The value of cos 2
16
+ cos2
16
3+ cos2
16
5
+ cos216
7is
(A) 0 (B) 1
(C) 2 (D) 3
109. The value of sin 36.sin 72.sin108.sin144 is
(A) 0 (B)16
3(C)
16
1(D)
16
5
110. The value of sin 47 + sin61 sin 11 sin 25 is
(A) cos 7 (B) cos 18
(C) sin 18 (D) cos 15
111. If cosec + cot =2
11, then the value of tan is
(A)117
17(B)
117
44
(C)117
13(D)
117
22
112. The sum of twenty consecutive even numbers is 980.
Then find the greatest number.
(A) 66 (B) 72
(C) 68 (D) 90
113. What is the sum of two consecutive even numbers, if
the difference of their squares is 92?
(A) 52 (B) 52
(C) 42 (D) 46
114. If 2 =
4
13
11
1x
, then find the value of x.
(A)17
21(B)
17
31
(C)17
19(D)
17
15
115. Find the value of143
7
99
7
63
7
35
7
15
7
3
7
.
(A)13
31 (B)
13
33
(C)13
23 (D)
13
73
116. When x is divided by 4, the remainder is 3. What will
be the remainder if 2x is divided by 4?
(A) 0 (B) 1
(C) 2 (D) 3
117. If the divisor is 7 times the quotient and 3 times the
remainder, then find the dividend if the remainder is28.
(A) 1040 (B) 996
(C) 1008 (D) 1036
118. If a number is divided by 223 the remainder is 79. If the
same number is divided by 179 it gives a quotient 315.
Find the remainder.
(A) 113 (B) 117 (C) 129 (D) 133
119. If x = 81 then the value of ( 1x 41
) ( 1x 41
) is
(A) 9 (B) 8 (C) 0 (D) x0
120. The simplified value of
25.6
50.1294.0
53.253.247.347.3
(A) 0 (B) 1 (C) 4 (D) 3
121.7
12
x
y
y
x and x + y = 12, then the value of xy
will be
(A) 85 (B) 72
(C) 56 (D) 49
122. If 3 men or 4 women can do a piece of work in 43 days
then in how many days will 7 men and 5 women do the
same piece of work?
(A) 12 days (B) 13 days(C) 15 days (D) 16 days
123. A man, a woman and a boy can do a piece of work in 3
days, 4 days and 12 days respectively. How many
boys should help a man and a woman to do the same
piece of work in4
1day?
(A) 41 (B) 48 (C) 52 (D) 61
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124. Some men can do a piece of work in 60 days. If 8 more
men join them the work is finished 10 days before the
stipulated time. How many men were there in the
beginning?
(A) 35 (B) 40 (C) 48 (D) 52
125. By working 8 hours a day 6 men earn `8400 in a week.How much money will 9 men earn in a week by working
6 hours a day?
(A) `5940 (B) `9054
(C) `9450 (D) `9540126. Two trains 160-m-long and 140-m-long respectively
run at the rate of 77 kmph and 67 kmph respectively in
opposite directions on parallel tracks. How long do
they take to pass each other?
(A) 4.5 seconds (B) 5.5 seconds
(C) 6.5 seconds (D) 7.5 seconds
127. A train crosses a 50-m-long-platform in 14 seconds
and crosses an electric pole in 10 seconds. What is
the speed of the train?(A) 45 kmph (B) 54 kmph
(C) 36 kmph (D) 72 kmph
128. In what proportion must some tea at `60 per kg bemixed with another tea at `65 per kg so that the new
mixture is sold at `68.2 per kg at a profit of 10%?(A) 2 : 3 (B) 3 : 2
(C) 4 : 3 (D) 5 : 7
129. A, B, C and D finish a work together and they get `60,
`70, `80 and `90 as wages respectively. If the wages
they get are in the proportion of their efficiencies, then
find the number of days required by A alone to finish
the work if all the four take 5
416 days to finish the
work together.
(A) 96 days (B) 94 days
(C) 84 days (D) 74 days
130. 20 men are employed to finish a work in 25 days.
However, due to some problem, after every 10 days 5
men are removed from the work. Find the number of
days required to finish the work.
(A) 60 (B) 50 (C) 30 (D) 40
131. Three men A, B and C can make 12000 toys in 2 hours,
4 hours and 3 hours respectively. If each of them works
in turn for 30 minutes at a time, in how much time will
they make 18500 toys?
(A)2
15 hours (B)
4
14 hours
(C)4
33 hours (D)
4
34 hours
132. The height of a right circular cylinder is 8 cm. Four
times the sum of the area of its two circular faces is
twice the area of its curved surface. The radius of the
base is
(A) 3 cm (B) 4 cm
(C) 5 cm (D) 1.5 cm
133. Water flows in a tank whose base is 250m 100m
through a pipe whose cross-section is 3dm by 2.5dm
at the speed of 20 km per hour. In what time will the
water level rise to 1.5 metres?
(A) 25 hours (B) 4.5 hours
(C) 45 hours (D) 2.5 hours
134. A well is 23.5m deep and its diameter is 14m. Find the
cost of plastering the inner curved surface at `4 persquare metre.
(A) `4136 (B) `4316
(C) `4436 (D) `4536135. In a 400 ml mixture of water and milk the quantity of
water is 70%. How much milk must be added to the
mixture so that the quantities of milk and water in the
mixture become equal?
(A) 120 ml (B) 130 ml
(C) 150 ml (D) 160 ml136. Fresh fruits contain 70% water in them whereas dry
fruits contain 25% water. Find the quantity of dry fruits
that can be obtained from 100 kg fresh fruits.
(A) 48 kg (B) 40 kg
(C) 32 kg (D) 38 kg
137. If the cost price of 15 articles is equal to the selling
price of 12 articles, the profit percentage is
(A) 25% (B) 20%
(C) 18% (D) 15%
138. The average of 15 numbers is 40. The average of first
eight numbers is 30. If the average of last eight
numbers is 50, then the eighth number is
(A) 35 (B) 40 (C) 45 (D) 50139. An item priced at `300 is sold at 10% gain. If the selling
price is reduced by 15%, what will be the gain or loss
per cent?
(A) 5.5% loss (B) 6.5% profit
(C) 6.5% loss (D) 7% loss
140. The ratio of three numbers is 2 : 3: 5 and their product
is 10290. Find all the numbers.
(A) 10, 15, 25 (B) 12, 18, 30
(C) 16, 25, 40 (D) 14, 21, 35
141. A shopkeeper allows a discount of 10% on the marked
price. By what per cent above the cost price must he
mark his goods to gain 8%?
(A) 20% (B) 22% (C) 24% (D) 25%142. A sum of money lent at compound interest for 2 years
at 20% per annum would fetch `482 more, if the interest
was payable half-yearly rather than annually. The sum
is
(A) `20000 (B) `25000(C) `28000 (D) `37000
143. A sells an article to B for `45000 at a loss of 10% in thetransaction. B sells it to C at a price which gives a
profit of 10% to A. By what per cent does B gain?
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(A)7
100% (B)
9
200%
(C)3
100% (D)
11
150%
144. A man can row against a current three-fourths of a
kilometre in 15 minutes and returns the same distancein 10 minutes. The ratio of his speed to that of the
current is
(A) 1 : 5 (B) 2 : 5 (C) 5 : 1 (D) 4 : 3
145. A wire when bent in the form of a square encloses an
area of 121 cm2. If the same wire is bent in the form of
a circle, the area of the circle will be
(A) 256 cm2 (B) 415 cm2
(C) 145 cm2 (D) 154 cm2
Direction (Q. 146-150) : Study the following bar-graph
carefully and answer the following questions.
The graph shows the number of copies of three
different novels Godan,Maila AnchalandMahabhojsold
in various years from 2007 to 2010.
0
10
20
30
40
50
60
70
80
90
2007 2008 2009 2010
Year
Numberofcopies(inthousand)
Godan Maila Anchal Mahabhoj
.
146. What is the ratio of the number of copies sold ofGodan
to that ofMahabhoj during the period 2008 to 2010?
(A) 36 : 37 (B) 38 : 35
(C) 38 : 39 (D) 39 : 38
147. What is the total number of copies ofMaila Anchal
sold over the given period?
(A) 260 thousand (B) 240 thousand
(C) 270 thousand (D) 220 thousand
148. Total sale of all the three novels in 2010 is whatpercentage less than the total sale of all the three novels
in 2007?
(A) 12.4 % (B) 12.1 %
(C) 11.9 % (D) 12.5 %
149. The number of copies ofMahaboj sold in the year
2009 was what percentage of the number of copies of
Godansold in that year?
(A) 100% (B) 50%
(C) 37.5% (D) 25%
150. What is the average number of copies of all the three
novels sold in the given period?
(A) 187.5 thousand (B) 87.5 thousand
(C) 250 thousand (D) 177.5 thousand
Part-D: English ComprehensionDirections: In question nos. 151-155, some parts of
the sentences have errors and some have none. Find out
which part of a sentence has an error and blacken the
rectangle [ ] corresponding to the appropriate letter (A),
(B), (C). If there is no error, blacken the rectangle [ ]
corresponding to (D) in the Answer Sheet.
151. I would like to express my extreme grief at the pass
(A)
away of the man who stood for human r ights and for
(B)
equality in this world. No error
(C) (D)152. Hundreds of flights were delayed or cancelled in
(A)
Shanghai as record levels of air pollution shrouded
(B)
city in smog. No error
(C) (D)
153. The love of Indians for gold and silver is legendary
(A)
and Indian politicians are no exception to this fondess
(B)
for precious metals. No error
(C) (D)
154. Pakistan PM directed authorities to make up special (A)
courts to try persons arrested for the gruesome killing
(B)
of ten foreign climbers at the Nanga Parbat base camp.
(C)
No error
(D)
155. Nelson Mandela dedicated his entire adult life to the
(A)
struggle of freedom in South Africa, and in 1994
(B)
became president of the countrys first democratically
(C)elected government. No error
(D)
Directions: In question nos. 156 to 160 sentences
are given with blanks 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 rectangle [ ] in the
Answer-Sheet.
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156. It is a tragic reality that________ a huge pool of
talented, hardworking individuals, India remains in
pathetic chaos.
(A) although (B) despite having
(C) in spite of being (D) being
157. The youth in India are ________ the non-functioning
UPA government.
(A) parted with (B) fell out with
(C) get rid of (D) fed up with
158. Looking ________ the lens of poverty, there are
various areas of discrimination against women.
(A) through (B) with
(C) into (D) at
159. The huge Indian TV network, reaching out to people
in all ________ of the country, is enormously
influential.
(A) part and parcel (B) back to the wall
(C) nooks and corners (D) hook, line and sinker
160. Gen VK Singh said he tried to improve matters whenhe was the Army Chief, but more ________ than not
he was frustrated by the bureaucracy.
(A) certain (B) never
(C) often (D) over
Directions: In question nos. 161 to 165, out of the
four alternatives choose the one which best expresses the
meaning of the given word and mark it in your Answer-
Sheet.
161. Incursion
(A) growth (B) protection
(C) invasion (D) indication
162. Pigheaded
(A) obstinate (B) pungent(C) powerful (D) blemished
163. Deterrent
(A) derogatory (B) devil
(C) prudent (D) preventive
164. Jilt
(A) pull (B) reject
(C) shake (D) trick
165. Yore
(A) rustic (B) adolescent
(C) cry (D) old times
Directions: In question nos. 166 to 170, choose the
alternative opposite in meaning to the given word and mark
it in the Answer-Sheet.166. Recondite
(A) review (B) obscure
(C) rebuild (D) easy to understand
167. Flout
(A) mock (B) abide by
(C) vacillate (D) fluent
168. Disburse
(A) collect (B) expend
(C) discard (D) deny
169. Foment
(A) incite (B) frustrate
(C) cease (D) tremble
170. Treason
(A) treachery (B) wealth
(C) pact (D) loyalty
Directions: In question nos. 171 to 175, four
alternatives are given for the idiom/phrase bold-italicised
in the sentence. Choose the alternative which best
expresses the meaning of the idiom/phrase and mark it in
the Answer-Sheet.
171. Arvind was forced to eat humble pie and publicly
apologise to her.
(A) behave politely (B) eat silently
(C) admit his mistake (D) to steal something
172. Rameshs friend wolfed down the contents of his
fridge.
(A) threw away(B) ate quickly and greedily
(C) handed over something of value
(D) chose after careful thought
173. His elder brotherspushed him aroundwhen they were
children.
(A) knocked down
(B) loved a lot
(C) helped
(D) behaved roughly and rudely
174. The new owner will certainlydivest him ofhis position
as marketing director.
(A) take away (B) hand over
(C) award (D) concede175. Business is poor and so the company has had to
dispense withsome of its employees.
(A) rely on somebody (B) retrench
(C) employ (D) deal with successfully
Directions: In question nos. 176-180, a part of the
sentence is underlined. Below are given alternatives to
the underlined part at (A), (B) and (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. Many successful men reach such heights of success
that they live in their own world and think the normal
rules of social behaviour dont apply to them, neitherdoes the laws of the land.
(A) either does the laws of
(B) neither do the laws of
(C) neither do the laws for
(D) No improvement
177. What sets Sachin Tendulkar apart from others is the
fact that no one has ever been able to question his
attitude and passion towards the game.
(A) alway been able
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(B) often been able
(C) never been able
(D) No improvement
178. Tajikistans president won re-election by landslide
extending his 20-year-long rule to other seven years.
(A) by forthcoming seven years
(B) for other seven years
(C) by another seven years
(D) No improvement
179. As the longest serving and illustrious cricketer of
modern times, Sachin Tendulkar has had the pleasure
of having more teammates than none of his
contemporaries such as Ricky Ponting, Rahul Dravid
and Brian Lara.
(A) any of his contemporaries
(B) few of his contemporaries
(C) no other contemporaries
(D) No improvement
180. India should have taken the opportunity to firmly tellSri Lanka that it is time it makes a difference to the
lives of Tamils.
(A) could make (B) made
(C) creates (D) No improvement
Directions: In question nos. 181 to 185, out of the
four alternatives, choose the one which can be substituted
for the given words/sentence.
181. Indefinite and very long period of time
(A) Credo (B) Limbo
(C) Aeon (D) Niche
182. Someone who makes a bet
(A) Punter (B) Snob
(C) Exponent (D) Malefactor 183. Embarrassing social mistake
(A) Outcry (B) Default
(C) Remorse (D) Faux pas
184. Confusing or meaningless words or activities
(A) Vivacious (B) Mumbo-jumbo
(C) Volte-face (D)Bete noire
185. Clarity of a persons speech
(A) Tone (B) Theme
(C) Rhythm (D) Diction
Directions: In question nos. 186 to 190, four words
are given in each question, out of which only one word is
correctly spelt. Find the correctly spelt word and indicate
it in the Answer Sheet by blackening the appropriaterectangle.
186. (A) puerile (B) pergative
(C) rookee (D) roomate
187. (A) convalese (B) aquilin
(C) effiminate (D) assassin
188. (A) exquisite (B) bireavement
(C) exhorbitant (D) pleging
189. (A) decongestent (B) infinitesimal
(C) colosal (D) playright
190. (A) troumatize (B) vaneguard
(C) gonorhoea (D) commissariat
PASSAGE I (Question Nos. 191 to 195)
According to Seymour M Hersh, Barack Obama did
not tell the whole story when he tried to make the case that
Bashar al-Assad was responsible for the chemical weapons
attack near Damascus on 21 August. He omitted important
intelligence, presented some assumptions as fact and failed
to acknowledge that the Syrian army is not the only part in
the countrys civil war with access to sarin. In the months
before the attack, the American intelligence agencies
produced a series of highly classified reports citing
evidence that the al-Nusra Front, a jehadi group affiliated
with al-Qaeda, had mastered the mechanics of creating sarin
and was capable of manufacturing it in quantity. When
the attack occurred al-Nusra should have been a suspect,
but the administration cherry-picked intelligence to justify
a strike against Assad, writes Hersh. One high-level
intelligence officer wrote in an email that the attack wasnot the result of the current regime. When Obama decided
to walk away from his red-line threat to bomb Syria, it
appears possible that at some point he was directly
confronted with contradictory information: evidence strong
enough to persuade him to cancel his attack plan. Hersh
ends by saying that the irony of the situation is that while
the Syrian regime continues the process of eliminating its
chemical arsenal, al-Nusra and its Islamist allies could
end up as the only faction inside Syria with access to the
ingredients that can create sarin.
191. Which of the following statements is based on the
facts mentioned in the given passage?
(A) Barack Obama elaborated the whole story whiletrying to accuse Bashar al-Assad for chemical
attack on Damascus.
(B) The onus for the use of chemical weapons near
Damascus lies on al-Qaeda.
(C) Bashar al-Assad successfully averted the effort
of chemical attack on Syria.
(D) According to Barack Obama, none other than
Bashar al-Assad is responsible for the 21 August
chemical attack on Damascus.
192. Which of the following is not true on the basis of the
given passage?
(A) Prior to the attack, the American intelligence
agencies had produced evidence aboutinvolvement of al-Nusra front in making chemical
weapons.
(B) The al-Nusra front is a jehadi group affiliated with
al-Qaeda.
(C) The al-Qaeda had mastered the mechanics of
creating sarin in huge quantity.
(D) All the above
193. Who among the following wrote in an email that the
attack was not the result of the current regime?
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(A) Seymour M Hersh (B) Barack Obama
(C) Bashar al-Assad (D) None of these
194. Which of the following can be inferred from the given
passage?
(A) Syria no longer wants to dismantle its chemical
weapons.
(B) Syria is in the process of eliminating its chemical
weapons.
(C) A group of Islamists including al-Nusra is engaged
in creating sarin in Syria.
(D) Barack Obama is adamant on attacking Syria.
195. What is the meaning of the phrase cherry-picked as
used in the passage?
(A) Picking selectively
(B) Picking up cherries
(C) Something in ones control
(D) Arranging the things in order
PASSAGE II (Question Nos. 196 to 200)
Worthless currency is not necessarily useless. It canbe a pointed way of shaming someone who asks for a
bribe. That is the thinking behind zero-rupee notes, an
Indian anti-corruption gimmick now attracting worldwide
interest. They look roughly like 50-rupee notes; people are
encouraged to hand them to corrupt officials, signalling
resistance to sleaze.
Vijay Anand, founder of the 5th Pillar, an anti-bribery
campaign that launched the notes, calls them a non-violent
weapon of non co-operation. His group has distributed
more than 2.5m zero-rupee notes since 2007. The idea is
catching on. Campaigners from Argentina, Nepal, Mexico
and Benin have been in touch asking for details. Malaysia
is mulling a similar project. And a worthless note will belaunched in Yemen next year.
Yemen is usually reckoned to be one of the worlds
most corrupt countries. But Mariam Adnan, an activist
there, says a new generation may be amenable to change.
Her group is handing out 5000 honest riyals in schools
and universities. You have to change minds before you
can change laws, she says.
Such campaigns might be risky in countries where
bribes are extorted at gunpoint. But in places where public
opinion is already shifting, they could be a useful way of
making bureaucrats behave better. Shaazka Beyerle, an
expert on civil resistance campaigns, says that using zero-
rupee note offers protection. It shows a persons affiliationwith a larger movement which cannot be brushed aside by
one angry official.
196. What is the central idea of the given passage?
(A) It is essential to issue fake currency as a way of
shaming the corrupt official who asks for a bribe.
(B) The zero-rupee note stands as a non-violent
weapon of non-cooperation.
(C) The resistance campaigns can be successful
where bribes are extorted at gunpoint.
(D) It is worthless to think about the success of fake
currency as a means to fight against corruption.
197. Which of the following is true about the 5th Pillar
campaign?
(A) It is anti-bribery campaign.
(B) Under the 5th Pillar campaign more than two-and-
a-half million fake currency notes have been
distributed so far.
(C) Under the said campaign zero-rupee notes have
been launched as non-violent weapons of non-
cooperation.(D) All the above
198. What is the intention behind launching zero-rupee
notes?
(A) To use them as a tool to fight against inflation
(B) To hand them to children to make fun
(C) To cheat innocent people and destablise Indias
economy
(D) To shame someone who asks for a bribe
199. What has been the impact of the anti-bribery campaign
launched by Vijay Anand?
(i) The idea of the anti-bribery campaign is catching
on and the campaigners from a few foreign
countries are asking for details.(ii) Malaysia has outright rejected the concept of
using fake currency as a means of fighting against
corruption.
(iii) Yemen is going to launch worthless notes in line
with 5th Pillar of India.
(A) Only (i) and (ii) (B) Only (ii) and (iii)
(C) Only (i) and (iii) (D) All (i), (ii) and (iii)
200. What is the nearest meaning of the word mulling as
used in the passage?
(A) To make wine and beer
(B) To ponder over something
(C) To reject an idea
(D) To crush something into pieces
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Answers
1.B;
2.D;
Similarly,
3.C;
4.A; The second number is the cube of the
sum of both the digits of the first number. ie
2 + 5 = 73= 343
Similarly, 3 + 2 = 53= 125
5. A; The pattern follows as given below:
85 = 82 (8 5)2 = 64 9 = 55
Similarly, 95 = 92 (9 5)2= 81 16 = 65
6.C; 74 = 72+ 42= 49 + 16 = 65
36 = 32+ 62= 9 + 36 = 45
7.D; Touch is milder form of Push. Similarly,
Sip is milder form of Gulp.
8. B; Window is made of Panes. Similarly,
Book is made of Pages.
9. C; Truck and Scooter both have Gears.
Dog and Squirrel both have Tail.
10. C; The rest have one consonant and one
vowel.
11.C;
12.B; 7 3 = 21 + 5 = 26
5 3 = 15 + 5 =
9 3 = 27 + 5 = 32
10 3 = 30 + 5 = 35
13 . D; Except D, all others have the
numerator smaller than the denominator.
14 . B; Except B, rest are branches of
Mathematics.
15. D;
16. A;
17.B;
18.C; 29 = 2 + 9 = 112= 121
121 = 1 + 2 + 1 = 42= 16
16 = 1 + 6 = 72= 49
49 = 4 + 9 = 132= 169
19.B; 7 4 = 28
28 3 = 84
84 2 = 168
168 1 = 168
20.A;
21.D;
22. C; There is no W in the keyword.23.D; There is no D or E in the keyword.
24. A; There is no Y in the keyword.
25.B; 8 2 + 9 6 3 =2
33
After interchanging and x,
we get 8 2 + 9 6 3
= 16 +2
1=
2
33
26.A; 3 3 12 + 8 = 20
or, 1 12 + 8 = 20
or, 12 + 8 = 20
27.C; 6 + 12 6 17 3
6 12 6 17 + 3
= 6 2 17 + 3= 6 34 + 3
= 34 + 9 = 25
28.A; 19 2 7 = 31
And, 15 2 4 = 26
Similarly, 29 2 9 = 49
29.B; 25 + 28 + 17 = 70
Now, 70 10 = 7
11 + 24+ 15 = 50; 50 10 = 5
31 + 49 + 20 = 100, 100 10 = 10
30.C; 12+ 22+ 52+ 72= 1 + 4 + 25 + 49
= 79 10 = 790,
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42+ 22+ 8 2+ 32= 16 + 4 + 64 + 9 = 93 10
= 930
Similarly, 02+ 62+ 42+ 52= 0 + 36 + 16 + 25
= 77 10 = 770
31.D;
Total distance ZD = 20 + 25 + 30
= 75 metres32.B;
33.A;
Similarly,
34.C;R E T U N I O
2 4 3 1 6 8 5
So,
35.D;
Similarly,
36.B;
37 . C; 90 persons represent the number of
only males and children.
38. B
39.A; All evens are pens (A) + All pens are
letters (A) = A + A = A = All evens are letters.
Now, Some odds a re even (I) + All evens are
letters (A) = I + A = I = Some odds are letters
conversion Some letter s are odds.
Hence, conclusion I follows.
Again, Some odds are even (I) + All evens
are pens (A) = I + A = Some odds are pens.
Now, Some numbers are odds (I) + Some oddsare pens (I) = I + I = No conclusion. Hence,
conclusion II does not follow.
40 . D; There is no negative statement.
Hence, possibility in II exist from statement
I. All bags are caps conversion Some
caps are bags. Hence, conclusion I follows.
41. B 42.A 43. C 44. B 45. C
46. A; Expenses of A
= 60 40 15 = `5
47. A 48. C 49. D
50. D; T 75, 97
O 59, 66
P 00, 23, 34
I 11, 20, 32
C 78, 86, 95
TOPIC 97, 59, 23, 32, 78
51. D 52. D 53. A 54. C 55. C
56. B 57. D 58. D 59. B 60. A
61. D 62. D 63. C 64. A 65. C
66. B 67. A 68. A 69. B70.D; It was written by Kalidasa
71. C 72. C 73. B 74. D 75. A
76. B 77. D 78. B 79. D 80. A
81. D 82. C 83. D 84. D 85. C
86. C 87. C 88. A 89. A 90. C
91. D 92. B 93. D 94. B 95. D
96. C 97. A 98. C 99. D 100.C
101. C;
Let C' be the centre of circle whose equationis x2+ y2 2x 6y + 6 = 0
C' = (1, 3) (Comparing it to general equation
of the circle)
Now, the equat ion of the circle with centre
at (2, 1) is
(x 2)2+ (y 1)2 = r2
or, x2 4x + 4 + y2 2y + 1 r2 = 0
or, x2+ y2 4x 2y + 5 r2= 0
Comparing the two equations, we get
2x 6y + 6 = 4x 2y + 5 r2
or, 2x 4y + 1 + r2= 0
Now putting x = 1 and y = 3, we get
r2= 9
r = 3 cm
102.B;
Given circle is x2+ y2+ 2gx + 2fy + c = 0
... (i)
Let C be its centre and PQR be an equilateral
triangle inscribed in the circle. Then C
= (g, f) and the radius of the circle, CQ
= cfg 22
From QLC,
QL = CQ. sin 60 = 2
3
( cfg22
)
QR = 2QL = cfg.3 22
Now, ar ea of PQR =4
3QR2
= )cfg(34
3 22
= )cfg(4
33 22
103.B; Given equation of circle,
x2+ y2 8x + 4y + 4 = 0
On comparing with standard equation of circle
x2+ y2+ 2gx + 2fy + c = 0
We get, g = 4, f = 2 and c = 4
Co-ordinates of the centre are (g, f)
ie (4, 2)
Radius of the circle = cfg 22
= 4)2()4( 22
= 4416
= 4
Here, the radius of the circle is equal to the
co-ordinates of the centre.
Circle touches y-axis.
104. D; The centre is point of inersection of
two diameters, ie the point is C (8, 2).
r = 164 = 20
105.A; We have,
AcotA3cot
1
AtanA3tan
1
Acos.A3sinAsin.A3cos
Asin.A3sin
AsinA3cosAcosA3sin
A3cos.Acos
)AA3sin(
Asin.A3sin
)AA3sin(
A3cos.Acos
=A2sin
)AA3cos(= cot2A
106.A; Let cosec + cot = k
cosec cot =k
1
On adding, we get
2cosec
= k +k
1
( cosec = x +x4
1)
or, 2(x +x4
1) = k +
k
1
or, 2x + x2
1= k + k
1
k = 2x
107.C; sin6
+ cos6
= (sin2
)3+ (cos2
)3
a3+ b3= (a + b) (a2+ b2 ab)
sin6 + cos6 = (sin2 + cos2 ) (sin4 +
cos4
sin2
.cos2
)
= sin4 cos4 sin2 .cos2
Now, 2(sin6 + cos6 3(sin4 + cos4 ) + 1
= 2(sin4 + cos4 ) 2sin2 .cos2 3(sin4 +
cos4
) + 1
= sin4 cos4 sin2 .cos2 + 1
= (sin4 + cos4 + 2sin2 .cos2 ) + 1
= (sin2+ cos2)2+ 1= 1 + 1 = 0
108.C; The given expression
cos2 16
+ cos2 16
3
+ cos2 16
3
2 +
cos2 16
2
= cos216
+ cos216
3+ sin2
16
3+ sin2
16
=16
3sin
16
3cos
16sin
16cos 2222
= 1 + 1 = 2
109.D; Given,
sin 36.sin 72.sin 108.sin 144
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= (sin 36.sin 144) (sin 72.sin 108)
= (sin 36.sin 36) (cos 18.cos 18)
= sin2 36.cos218 =16
520
16
5210
=1616
20100
=16
5
110.A;(sin 47 + sin 61) (sin 11 + sin 25)
= 2sin 54.cos 7 2sin 18. cos 7
= 2cos 7 (sin 54 sin 18)
= 2cos 7.2cos 36.sin 18
= 2 cos 7.2 4
15
4
15 = cos 7
111.B; Given, cosec + cot =2
11
or,2
11
sin
cos1
or, 2
11
cos.sin2
cos22
or,2
11cot or, tan
11
2
tan = 117
44
121
41
11
22
tan1
tan2
2
112.C; Number of terms = 20
Common difference = 2
tn = last term
Sn= }d).1n(a2{
2
n
= }2)120(a2{
2
20
= 10 2a + 38 10 = 20a + 380
Now, 20a + 380 = 980
or, 20a = 600
a = 30
Now, last term = tn= a + (n 1) d
= 30 + (20 1) 2 = 68
Hence, the greatest number is 68.
113.D; Let the number be x and x + 2.
Then, (x + 2)2 x2= 92
or, (x + 2 + x) (x + 2 x) = 92
or, (2x + 2) 2 = 92
or, x + 1 = 23
or, x = 22
Sum of the numbers = x + x + 2 = 22 + 22
+ 2 = 46
114.A; 2 =
4
13
11
1x
4
13
11
1x
or, 2 =
13
17
1x
13
41
1x
or, 2 =17
13x
or, x = 2 17
13=
17
21
115.B; 7 143
1
99
1
63
1
35
1
15
1
3
1
=143
2
99
2
63
2
35
2
15
2
3
2
2
7
=2
7 {1
3
1 +
5
1
3
1 +
7
1
5
1 +
9
1
7
1+
11
1
9
1+
13
1
11
1}
=2
7 {1
3
1+
3
1
5
1+
5
1
7
1+
7
1
9
1+
9
1
11
1+
11
1
13
1}
=2
7{1
13
1} =
2
9
13
12=
13
42=
13
33
116. C; Let x = 4P + 3, where P is the
quotient.
Now, 2x = 8P + 6 = 4(2P + 1) + 2
Hence, 2x is divided by 4, the remainder will
be 2 .
117. D; Divisor = 7 Quotient
= 3 Remainder = 3 28
Quotient = 127
283
Q = 12, R = 28 and divisor = 84
Dividend = (Divisor Quotient) + R
= (84 12) + 28 = 1008 + 28 = 1036
118.A; Let the number be N.
Then, N = 223k + 79
Again, 179 315 = 56385
If 56385 is divided by 223, we get 252 as
quotient and 189 as remainder
Reqd remainder = 79 + (223 189) = 79 +
34 = 113
119.B;)1x)(1x( 4
1
4
1
=)181)(181( 4
1
4
1
(Put x = 81)
= (3 1) (3 + 1)
= 2 4 = 8
120.C;25.6
5.12
94.0
53.253.247.347.3
= 294.0
)53.247.3)(53.247.3(
= 294.0
94.000.6 = 6 2 = 4
121.D;7
12
x
y
y
x
Squaring both sides, we get
or,
22
7
12
x
y
y
x
or, 49
144
x
y.
y
x.2
x
y
y
x
or,49
1442
xy
yx 22
or,49
144
xy
xy2yx 22
or,49
144
xy
)yx(2
or,49
144
xy
)12(2
( x + y = 12)
or, xy = 49
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122.A; 4 women = 3 men
1 woman =4
3men
So, 5 women =4
15 men
Total men = men
4
437
4
15
3 men do the work in 43 days
4
43men do the work in
43
4343 = 12 days
123.A; 1 man does the work in4
1 day
12
1
4
1
3
1 part
1 woman does the work in4
1 day
16
1
4
1
4
1
part
Total work done by one man and one woman
=16
1
12
1 =
46
34 =
48
7
Remaining work = 1 48
7=
48
41part
The number of boys = 4848
41 = 41 boys
124. B; Let the number of men be x.
x men do the work in 60 days.
1 man does the work in 60 x days.
(x + 8) men do the work in 50 days.
1 man does the work in 50(x + 8) days.
Now, 60x = 50(x + 8)
or, 60x 50x = 400
or, x = 40
125.C; 6 men by working 8 hrs per day
earn `8400
1 man can earn in a week by working 8 hrs
a day= 86
8400
9 men can by working 6 hrs a day earn in
a week =8
6
6
98400 = `9450
126.D;
Time =18567
18577
140160
=144
18
5
300
= 5.740
300 seconds
127. A; Let the length of the train be x
metres.
And the length of the platform be 50m.
Now,10
x=
14
50x
or, 14x = 10x + 500
or, 4x = 500
x =4
500= 125m
Now, the speed of the train
=
10
125= 12.5 m/s
12.5 5
18= 45 kmph
128. B; Selling price = `68.2
Profit = 10%
Cost price =110
1002.68 = `62
By alligation method,
Reqd ratio = 3 : 2
129. C; A B C D
Wages 6 0 7 0 8 0 9 0
Efficiency 6 7 8 9
Let 1 days work of A, B, C and D = (6 + 7 +
8 + 9) = 30 units
Now, total work = 30 5
84= 504 units
A will do it in6
504= 84 days
130. D;
20 mens 25 days work = 25 20
= 500 units
20 mens 10 days work = 20 10
= 200 units
Remaining work = (500 200) = 300 units
According to the question.
After every 10 days 5 men are removed from
the work.
Then, 15 mens work in 10 days = 15 10
= 150 units
So, remaining work = 300 150 = 150 units
Again, 10 men work in 10 days 10 10
= 100 units
Remaining work = 150 100 = 50 units
Hence finally 50 units work done by 5 men.
5 mens work in 10 days = 5 10 = 50 units
Hence, the total number of days
= 10 + 10 + 10 + 10 = 40 days
Alternative Method:
Me n Days Units of workTotal work by
20 men
throughout
20 25 25 20 = 500 units
Total work as
per given
conditions
20 10 20 10 = 200 units
15 10 15 10 = 150 units
10 10 10 10 = 100 units
5 10 5 10 = 50 units
Total number of days = 10 + 10 + 10 + 10
= 40 days
131.B; A makes 12000 toys in 2 hours
A makes toys in 30 minutes =2
1
4
12000
= 3000 toys
Again, B makes 12000 toys in 4 hours
B makes toys in 30 minutes =21
412000
= 1500 toys
C makes 12000 toys in 3 hours
C makes toys in 30 minutes =2
1
3
12000
= 2000 toys
Now, if they al l work alternately then in 1
hour 30 minutes they make 3000 + 1500 +
2000 = 6500 toys
In 3 hours they make 6500 2 = 13000 toys
Remaining toys = 18500 13000 = 5500
Remaining toys made by A in 30 hours
= 3000
Now, the remaining toys = 5500 3000
= 2500
Again, the remaining toys are made by B.
B makes 1500 toys in 30 minutes.
Remaining toys = 2500 1500 = 1000 toys
Remaining toys are made by C.
C makes 2000 toys in 30 minutes
C makes 1000 toys in 10002000
30
= 15 minutes
Reqd total time = 3 hours + 30 minutes + 30
minutes + 15 minutes = 4 hours 15 minutes
132.B; According to the question,
4 2 r2= 2 2 r 8
r = 4 cm
133. D; Suppose in x hours water will be 1.5metres deep in the tank.
Volume of water in the tank = (250 100
1.5) = 37500m3
Area of the cross-section of the pipe
=2m
10
5.2
10
3 =
10
5.7=
4
3m2=
5
3m2
Volume of water that flows in the tank in x
hours
= (Area of cross-section of the pipe) (speed
of water) time
=3mx20000
4
3 = 1500x m3
( Speed = 20 kmph = 20000 m/hr)
The volume of water in the tank is equal to
the volume of water that flows in the tank in
x hours.
15000x = 37500
or, x =15000
37500= 2.5 hours
134. A; Total cost of plastering the inner
curved surface area
= 2 7
22
2
14 23.5 4 = `4136
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135. D; The quantity of milk in the mixture
is100
30400 = 120 ml
And quantity of water in the mixture
=100
70400 = 280 ml
Let x ml milk be added in the mixture.Then, x + 120 = 280
x = 280 120 = 160 ml
136.B; In dry fruits 75% pulp = 30 kg
Quantity of dry fruits = 10075
30 = 40 kg
137.A; Profit % = 10012
1215
= 10012
3 = 25%
138.B; The sum of total numbers = 15 40
= 600
The sum of first eight numbers = 8 30
= 240
The sum of last eight numbers = 8 50
= 400
Eighth number = 400 + 240 600 = 40
139.C; Selling price =100
110300 = `330
Now, after reducing 15%,
Selling price =100
85330 = `280.5
Cost price = 300
Loss = 300 280.5 = `19.5
% loss = 100300
5.19 = 6.5%
140. D; Let the numbers be 2x, 3x and 5x
respectively.Now, 2x 3x 5x = 10290
or, 30x3 = 10290
or, x3 = 343
x = 7
Number = 7 2 = 14, 7 3 = 21, 7 5
= 35
141.A; Let the price be `100.
Then, selling price = `108
Marked price = 10090
108 = `120
Reqd % = 100100
100120 = 20%
142.A; `20000
143. B;
Cost price of A =90
10045000= `50000
According to the question,
Selling price of B =100
10050000
= `55000
Cost price of C = `55000
And cost price of B = `45000
Now, percentage profit of B
=45000
4500055000 100 =
45000
10000 100
= %9
200
144.C; The man travels with the current at
4
3
10
60= 4.5 km per hour
And it travels against the current at
4
3
15
60= 3 km per hour
Speed of man in still water
=2
1(4.5 + 3) = 3.75
And the speed of the current =2
1 (4.5 3)
=2
5.1= 0.75
Ratio =1
5
75.0
75.3 = 5 : 1
145.C; Area of the square = 121 sq cm
Side of the square = 121 = 11 cm
So, perimeter of the square = 4 side
= 4 11 = 44 cm
Let r be the radius of the circle. Then the
circumference of the circle = perimeter of
the square
or, 2 r = 44
r = 7 cm
Area of the circle = r2 = 777
22
= 154 cm2
146. C; The number of copies of of Godan
sold during 2008 to 2010 = (55 + 80 + 60)
thousand
= 195000
The number of copies Maila An chal sold
during 2008 to 2010
= (45 + 60 + 85) 1000
= 190000
Required ratio = 195000 : 190000
= 195 : 190 = 39 : 38
147. C; The total number of copies of Maila
Anc ha l sold = 80 + 45 + 60 + 85 = 270
thousand
148. C; The total number of all three novels
sold in 2010
= (60 + 85 + 40) 1000
= 185000
The total number of all three novels sold in
2007 = (70 + 80 + 60) 1000 = 210000
Reqd % =1000210
1001000185210
= 11.7%
149. B; The number of copies of Mahabhoj
sold in the year 2009 = 40 thousand
The number of copies of Godan sold in the
year 2009 = 80 thousand
Reqd % = 10080
40 = 50%
150. A; Average =4
185180175210
=4
750= 187.5 thousand
151. B; Replace pass with passing
152. C; Add the before city
153. D154. A; Replace make with set
155.B; Replace of with for
156. B 157. D 158.A 159. C 160. C
161. C 162.A 163. D 164. B 165. D
166. D 167. B 168.A 169. C 170. D
171. C 172. B 173. D 174.A 175. B
176. B 177. D 178.C 179.A 180. B
181. C 182.A 183. D 184. B 185. D
186.A 187. D 188.A 189. B 190. D
191. D 192. C 193. D 194. B 195.A
196. B 197. D 198. D 199. C 200. B