04.practice set ssc-cgl tier i.pdf
TRANSCRIPT
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PRACTICE SET
SSC-CGL TIER-IPart A: General Intelligence And
Reasoning
Directions: In question nos. 1 to 8, select the related
words/letters/number from the given alternatives.
1. KMF : LLG : : SUH : ?
(A) TVJ (B) TTI (C) ITT (D) TVG
2. ACE : E9 : : BDF : ?
(A) F6 (B) E6 (C) F12 (D) D12
3. Tree : Roots : : House : ?
(A) Foundation (B) Floor
(C) Stairs (D) Platform4. Hope : Aspire : : ?
(A) Time : Hour (B) Ordinary : Fake
(C) Lie : Fib (D) Happy : Sorrow
5. Baldness : Hair : : ?
(A) Silence : Noise (B) Evening : Night
(C) Laugh : Giggle (D) Finger : Nail
6. WDS : DWH : : EVR : ?
(A) VES (B) SVE (C) VEI (D) EIV
7. 9 : 15 : 21 : : ?
(A) 7 : 21 : 28 (B) 4 : 10 : 16
(C) 10 : 14 : 16 (D) 8 : 12 : 12
8. 15 : 36 : : 23 : ?
(A) 46 (B) 52 (C) 50 (D) 55Directions: In question nos. 9 and 10 which set of
letters, when sequentially placed in the gaps in the given
letter series, shall complete it?
9. b _ c _ b _ _ g _ ccgb _ cg
(A) bcgccb (B) ccbccg (C) cgccbc (D) ccgcbc
10. c _ bba _ cab _ ac _ ab _ ac
(A) babcc (B) bcabc (C) acbcb (D) abccb
Directions: In questions nos. 11 to 15, find the odd
word/numbers/letters from the given alternatives.
11. (A) Goitre (B) Anaemia
(C) Pellagra (D) Scurvy
12. (A) Titanium (B) Sodium
(C) Bromine (D) Mercury
13. (A) 15 23 (B) 16 24 (C) 19 23 (D) 13 23
14. (A) 5 3 (B) 2 6 (C) 7 3 (D) 7 1
15. (A) EGF (B) IGH (C) RPQ (D) OMN
Directions: In questions nos. 16 to 20 a series is
given with one term missing. Choose the correct
alternative from the given ones.
16. D11G J23M P35S ?
(A) T42V (B) U45X
(C) V47Y (D) V49Y
17. AC RT DF UW GI ?(A) VX (B) YX (C) JL (D) XZ
18. Y V Q N I ?
(A) D (B) F (C) E (D) L
19. 25 7 49 13 81 ?
(A) 18 (B) 15 (C) 10 (D) 9
20. 115 226 337 448 ?
(A) 550 (B) 669 (C) 559 (D) 599
21. If CLOVE is coded as E4O2C then SPANK is coded as
(A) K4A2S (B) S4A2K (C) K5A3S (D) A4S5A
22. If AT is coded as 20 and BAT is coded as 40 then CAT
will be coded as
(A) 35 (B) 60 (C) 80 (D) 70
23. If Orange is called Banana, Banana is called Honey,
Honey is called Milk, Milk is called Apple and Apple
is called Orange, which of the following is made by
bees?
(A) Honey (B) Banana (C) Milk (D) Orange
24. If means , means , means + and + means then
(2 16 18) 5 + 2 = ?
(A) 8 (B) 6 (C) 2 (D) 10
25. Identify the symbols to be inserted to make the
expression correct.
8 7 40 8 51
(A) =, , , (B) , , , =
(C) , , , = (D) , , , =26. A watch reads 3 : 15. If the hour hand points to north,
then which direction will the minute hand point?
(A) East (B) West
(C) North (D) South
27. One morning after sunrise, Kavita and Savita were
sitting in a lawn with their backs towards each other.
Kavitas shadow fell exactly towards her left. Which
direction was Savita facing?
(A) South (B) North
(C) East (D) West
28. In the following figure the rectangle represents school
teachers, the square represents college teachers and
the circle represents MBA teachers. Find out the theperson who is a school teacher and MBA teacher but
not college teacher.
(A) B (B) C (C) D (D) A
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Directions: In question nos. 29 to 31, find the missing
number from the given responses.
29.6 5 2
5 3 3
1 4 736 60 ?
(A) 72 (B) 84 (C) 80 (D) 75
30.
(A) 13 (B) 12 (C) 14 (D) 11
31.
(A) 42 (B) 54 (C) 63 (D) 108
Directions: In question nos. 32 to 34, from the given
alternative words, select the word which cannot be formed
by using the letters of the given word.
32. CONSOLIDATE
(A) NATIVE (B) SOLD(C) SLAIN (D) DETAIL
33. MIRACULOUS
(A) SCAR (B) MURAL
(C) RACE (D) MOLAR
34. KNOWLEDGE
(A) KEEN (B) EAGLE
(C) GOLDEN (D) WEDGE
35. What is the least number to be added to 6000 to make
it a perfect square?
(A) 88 (B) 76 (C) 84 (D) 58
Directions: In question nos. 36 and 37 arrange the
given words in a meaningful order and select the option
indicating the correct order.36. 1. Milk 2. Butter 3. Grass
4. Cow 5. Ghee
(A) 3, 4, 1, 2, 5 (B) 4, 3, 5, 2, 1
(C) 4, 3, 2, 1, 5 (D) 3, 4, 5, 2, 1
37. 1. Door 2. Light 3. Key
4. Room 5. Lock
(A) 1, 2, 3, 4, 5 (B) 1, 2, 3, 5, 4
(C) 1, 4, 3, 5, 2 (D) 3, 5, 1, 4, 2
Directions: In question nos. 38 and 39, two statements
are given followed by two conclusions I and II. You have to
consider both 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, follows from the
given statements.
38. Statements: Some blankets are pillows.
All pillows are books.
Conclusions: I. Some books are blankets.
II.Some pillows are not blankets.
(A) Only conclusion I follows
(B) Both conclusions I and II follow
(C) Only conclusion II follows
(D) Either conclusion I or II follows
39. Statements: No American is an Indian.
No Indian is a boy.
Conclusions: I. Some Americans are not boys.
II. No boy is an Indian.
(A) Only conclusion I follows(B) Both conclusions I and II follow
(C) Only conclusion II follows
(D) Either conclusion I or II follows
40. Which of the following diagrams indicates the best
relation between College, Teacher and Students?
(A) (B)
(C) (D)
41. A sheet of paper has been folded as shown in the
Question Figure. You have to figure out from among
the four Answer Figures how it will appear whenopened.
Question Figures
Answer Figures
(A) (B) (C) (D)
42. Which Answer Figure will complete the QuestionFigure?
Question Figure
Answer Figures
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(A) (B) (C) (D)
43. Which Answer Figure will complete the Question
Figure?Question Figure
Answer Figures
(A) (B) (C) (D)
44. Three different positions of a dice have been shown
in the following figures. Which dot number will beopposite five dots?
(A) 4 (B) 3 (C) 1 (D) 2
45. Which of the following Answer Figures is embedded
in the Question Figure?
Question Figure
Answer Figures
(A) (B) (C) (D)
46. From the given Answer Figure, select the one in which
the Question Figure is hidden/embedded.
Question Figure
Answer Figures
(A) (B) (C) (D)
47. Find out water image of the given group of letters.
EMANATE
(A) (B)
(C) (D)
48. Which of the following Answer Figures is the exact
mirror image of the given Question Figure, when the
mirror is held on the line AB?
Question Figure
Answer Figures
(A) (B) (C) (D)
49. How many triangles are there in the figure given
below?
(A) 13 (B) 12 (C) 14 (D) 15
50. A word is represented by only one set of numbers as
given in any one of the alternatives. The set of
numbers given in the alternatives is represented by
two classes of alphabets as shown 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 00, 13, 57 and T can be
represented by 56, 03 etc. Identify the set for the word
TEMP.Matrix I
0 1 2 3 4
0 A U O T B
1 T E P A W
2 R M G G I
3 U M M C L
4 P I N E C
Matrix II
5 6 7 8 9
5 P T A M E
6 G I O T M
7 E A L T N
8 R A B L I
9 N P E G P
(A) 68, 11, 69, 40 (B) 78, 43, 31, 97
(C) 10, 58, 41, 14 (D) 56, 55, 42, 99
Part B: General Awareness51. The fiscal policy in India is NOT aimed at which of the
following?
(A) Financial inclusion
(B) Poverty eradication
(C) Regulation of international trade
(D) Full employment
52. Which of the following is NOT a qualitative credit
control measure of the RBI in India?
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(A) Moral Suasion
(B) Open Market Operations
(C) Marginal Requirement
(D) Rationing of credit
53. Who among the following was the revenue minister at
the court of Akbar?
(A) Man Singh
(B) Todar Mal
(C) Birbal
(D) Abdul Rahim Khan-I-Khana
54. Due to presence of which of the following, a chameleon
can change it colour?
(A) Chromatophore (B) Haemoglobin
(C) Pneumatophore (D) Chlorophyll
55. Which of the following is the richest known source of
protein?
(A) Milk (B) Eggs
(C) Meat (D) Soyabean
56. Which of the following is NOT an example of directtax?
(A) Income tax (B) Gift tax
(C) Property tax (D) Sales tax
57. Which of the following is a fundamental right?
(A) Right to property
(B) Right to freedom of religion
(C) Right to employment
(D) Right to strike
58. The govt removes barriers and restrictions that affect
doing business in a country under
(A) Privatisation (B) Liberalisation
(C) Globalisation (D) Capitalisation
59. ________ is a utility that compresses a file to reduceits size for easy transmission.
(A) Opera (B) WinZip
(C) PowerPoint (D) CorelDraw
60. Nitrogen is an essential constituent of which of the
following?
(A) Vitamins (B) Fats
(C) Carbohydrates (D) Proteins
61. Which of the following principles is used in
cinematography?
(A) Total internal reflection
(B) Refraction
(C) Persistence of vision
(D) Scattering of light62. Sleeping sickness (Trypanosomiasis) is a disease
prevalent in sub-Saharan Africa and is spread by
(A) Tsetse fly (B) Mosquito
(C) Ant (D) Rat
63. Which of the following is/are NOT matched correctly?
(A) Normal Blood Pressure: 120/80
(B) Normal Pulse Rate (adult): 60-100 beats/minute
(C) Normal Blood Glucose Level (fasting): 70-100 mg/
dL
(D) None of the above
64. Which of the following gases is supplied through
piped connection for cooking in households?
(A) LPG (B) CNG
(C) PNG (D) All the above
65. Which of the following was the first state to establish
the institution of Panchayati Raj in independent India?
(A) Gujarat (B) Maharashtra
(C) Rajasthan (D) Andhra Pradesh
66. Non-Resident Indians (NRI) day is observed on which
of the following dates?
(A) 2 Jan (B) 9 Jan (C) 22 Jan (D) 30 Jan
67. A limnic eruption, also referred to as a lake overturn, is
a rare type of natural disaster which takes place with a
sudden eruption of
(A) Carbon dioxide (B) Nitrogen
(C) Vapour (D) Carbon monoxide
68. Which of the following statements is/are NOT correct
with respect to polio?(A) Polio is also called infantile paralysis.
(B) Polio virus multiplies in intestinal cells.
(C) Polio damages motor neurons of central nervous
system (CNS).
(D) Polio is still a prevalent disease in India.
69. Match the following missions with corresponding
years and answer the question on the basis of the
codes provided below:
1. Cabinet Mission a. 1942
2. Cripps Mission b. 1945
3. Wavell Plan c. 1919
4. Rowlatt Act d. 1946
1 2 3 4(A) d a b c
(B) d c b a
(C) b d c a
(D) a d c b
70. Which of the following vessels carries oxygenated
blood to the human heart?
(A) Pulmonary veins (B) Systemic veins
(C) Superficial veins (D) Renal veins
71. Which among the following is NOT a term related to
functioning of the Indian Parliament?
(A) Appropriation Bill
(B) Adjournment sine die
(C) Ad hoc Committee(D) None of the above
72. The concept of Five Year Plan was borrowed from
the constitution of which of the following countries?
(A) USA (B) Russia
(C) France (D) Canada
73. The deepest part of the worlds oceans, Mariana
Trench, is located in the
(A) Indian Ocean (B) Pacific Ocean
(C) Arctic Ocean (D) Atlantic Ocean
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74. Which of the following dynasties ruled in south India?
(A) Gupta dynasty (B) Chola dynasty
(C) Maurya dynasty (D) Nand dynasty
75. Match the following irrigation and power projects in
India with the state they are located in and answer the
question on the basis of the codes provided below:
1. Indira Gandhi Canal a. Gujarat
2. Hirakud Project b. Andhra Pradesh
3. Nagarjuna Sagar c. Odisha
4. Kakrapar Project d. Rajasthan
1 2 3 4
(A) d a b c
(B) d c a b
(C) b d c a
(D) d c b a
76. Joule is an SI unit used to measure
(A) Work (B) Energy
(C) Quantity of heat (D) All the above
77. Match the following reactions and their characteristicsand answer the question on the basis of the codes
provided below:
1. Photochemical reaction a. Heat is evolved
2. Electrochemical reaction b. Heat is absorbed
3. Endothermic reaction c. Chemical reaction
caused by electric
current
4. Exothermic reaction d. Chemical reaction
which requires light
energy
1 2 3 4
(A) d c b a
(B) d b c a(C) b d c a
(D) a d c b
78. The Parliament passed the Interim Budget 2014-15
recently. What is the budget allocation for the non-
plan expenditure for the financial year 2014-15?
(A) `12,07,892 cr (B) `10,12,000 cr
(C) `7,11,235 cr (D) `5,55,532 cr
79. The theory of ionisation was given by
(A) Henry Becquerel (B) L Pauling
(C) GN Lewis (D) S Arrhenius
80. Match the following and answer the question on the
basis of the codes provided below:
1. Lord Curzon a. Subsidiary Alliance2. Lord Clive b. Indian Universities Act
3. Lord Rippon c. Local Self-Governance
4. Lord Wellesley d. Dual System of Govt in
Bengal
1 2 3 4
(A) d a b c
(B) d c b a
(C) b d c a
(D) a d c b
81. The Booker-winning novelThe God of Small Things
has been written by who among the following?
(A) Salman Rushdie (B) Kiran Desai
(C) Arundhati Roy (D) Anita Desai
82. The two nations which are connected by an
underwater tunnel are
(A) Indian and Sri Lanka
(B) North Korea and South Korea
(C) France and England
(D) Malaysia and Singapore
83. The silver coins were calledrupyakaduring the period
of
(A) Guptas (B) Rashtrakutas
(C) Mauryas (D) Palas
84. Match the following technologies and the principle
they are based on and answer the question on the
basis of the codes provided below:
1. Television a. Digital Logic2. Computers b. Propagation of electromagnetic
waves
3. Sonar c. Bernoullis principle in fluid
dynamics
4. Aeroplane d. Reflection of ultrasonic waves
1 2 3 4
(A) d a b c
(B) b a d c
(C) b d c a
(D) a d c b
85. Identify among the following the device that facilitates
transmission of the computer output over a telephone
line.(A) Repeater (B) Modem
(C) USB (D) Interpreter
86. Which of the following methods is/are used to measure
the national income of a country?
(A) Product Method (B) Income Method
(C) Expenditure Method (D) All the above
87. Which of the following is NOT correct?
(A) First woman governor of a state Sarojini Naidu
(B) First woman chief minister of a state Sucheta
Kriplani
(C) First woman Union Cabinet minister Vijaya
Lakshmi Pandit
(D) First woman Speaker of the Lok Sabha NajmaHeptulla
88. A bug refers to which of the following in a
programme?
(A) Repetition (B) Hyperlink
(C) Error (D) Signature
89. Name the Indian industrialist who has been conferred
USD 50,000 DSC prize for South Asian literature for
his literary workChronicles of a Corpse Bearer?
(A) Ratan Tata (B) Cyrus Mistry
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(C) Azim Premji (D) NR Narayana Murthy
90. The Central Govt has directed the implementation of
150 days of wage employment under Mahatma Gandhi
Na tion al Rural Em ploymen t Guarantee Ac t
(MGNREGA) to Scheduled Tribe households living
in
(A) forest areas (B) flood-affected areas
(C) drought-affected areas (D) north-eastern area
91. Which of the following sports federations has been
conferred the Best National Sports Federation award
from the Federation of Indian Chamber of Commerce
and Industry (FICCI) recently?
(A) All India Football Federation (AIFF)
(B) National Rifle Association of India (NRAI)
(C) Federation of Motor Sports Club of India
(D) Billiards and Snooker Federation of India
92. According to the population-based study by the
Indian Council for Medical Research (ICMR), which
of the following cities in India has the largest numberof child cancer cases?
(A) Pune (B) Delhi
(C) Chennai (D) Mumbai
93. The Financial Stability and Development Council
(FSDC), the apex body of the financial sector regulators
in India, is led by
(A) the governor of RBI (B) the Finance Minister
(C) the Prime Minister (D) the Law Minister
94. The temporary loans from the RBI to the govt given
time-to-time to bridge the interval between expenditure
and receipts, are called
(A) Dated Securities
(B) Gilt-edged securities(C) Ways and means advances
(D) Treasury bills
95. It is an economic condition in which there is a general
decline in prices, often caused by a reduction in the
supply of money or credit. Identify the condition.
(A) Deflation (B) Inflation
(C) Devaluation (D) Stagflation
96. The Ninth Mahatma Gandhi National Rural
Employment Guarantee Act (MGNREGA) Divas was
observed recently on which of the following dates?
(A) 30 Jan (B) 31 Jan (C) 1 Feb (D) 2 Feb
97. The Union Cabinet chose Dugarajapatnam as the
location for one of two new govt-controlled ports inthe country recently. It is situated in which of the
following states?
(A) Tamil Nadu (B) Gujarat
(C) Andhra Pradesh (D) Maharashtra
98. Indian Navy conducted its largest exercise till date
under the lens of Indias first dedicated military satellite
recently. Which of the following is Indias first
dedicated military satellite?
(A) IRNSS-1A (B) GSAT-10
(C) GSAT-7 (D) GSAT-14
99. Who among the following was conferred Rotarys
highest award for his leadership recently? The award
is recognition for heads of countries or govts for service
to humanity, upholding values reflected in the Rotarys
motto Service Above Self.
(A) Pranab Mukherjee (B) Vladimir Putin
(C) Barack Obama (D) Shinzo Abe
100. Which of the following countries has become the first
country in the world to allow euthanasia for terminally
ill children recently?
(A) Norway (B) Sweden
(C) Belgium (D) Brazil
Part C: Quantitative Aptitude
101. In the given figure, O is the centre of the circle and the
radius of the circle is 7 cm. If OAB = 45, find the area
of the shaded portion.
(A) 38.5 cm2 (B) 27.5 cm2
(C) 13.5 cm2 (D) 14 cm2
102. Find the ratio of the area of an equilateral triangle of
side 2a units to that of a square whose diagonal is 4a
units.
(A) 1 : 1 (B) 2 : 1
(C) 1:3 (D) 8:3
103. A right prism has a triangular base with perimeter 38
cm. If the lateral surface area of the prism is 342 cm2,
find its height.
(A) 5 cm (B) 16 cm (C) 12 cm (D) 9 cm
104. Find the area of the square inscribed in a circle of
radius 6 cm.
(A) 36 cm2 (B) 144 cm2
(C)2cm
2
144(D) 72 cm2
105. If the radius of a sphere increases by 50% then its
volume will increase by
(A) 50% (B) 150%(C) 337.5% (D) 237.5%
106. PXY and PQR are secants drawn to a circle. If PX
= 2PQ, XY = 12 cm and PQ = 4 cm, find QR.
(A) 20 cm (B) 26 cm
(C) 36 cm (D) 16 cm
107. In the given figure, O is the centre of the circle,
A = 40 and C = 30. Find AOC.
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(A) 100 (B) 70 (C) 120 (D) 220
108. In the given figure, ABCD is a square of side 4 cm, if
CD : DE = 2 : 5, find the area of BDE.
(A) 25 cm2 (B) 10 cm2 (C) 20 cm2 (D) 15 cm2
109. In the given figure, O is the centre of the circle and CB
is a tangent. If AOB = 120, find ABC.
(A) 90 (B) 60 (C) 30 (D) 40
110. In the given figure, ABC is an isosceles triangle in
which BA = BC, BCA = 60, CD is the angular bisector
of ACB and AE is the angular bisector of BAC.
Find CDB.
(A) 30 (B) 90 (C) 120 (D) 60
111. A solid rectangular box of dimensions 16 cm 12 cm
11 cm is melted to form lead balls of diameter 4 cm.
Find the number of balls thus formed.
(A) 52 (B) 100 (C) 93 (D) 63
112. Find the total surface area and volume respectively ofa rectangular box which is 9m long, 8m wide and 7m
high.
(A) 391m2, 292m3 (B) 382m2, 504m3
(C) 504m2, 382m3 (D) 121m2, 392m3
113. The product toequalisto...)32()32()32( 361
6
1
(A) 32 (B) 16 (C) 64 (D) 0
114. A 200-m-long train crosses a pole in 10 seconds.
Another train travelling at the same speed crosses a
300-m-long platform in 20 seconds. Find the time taken
by the second train to cross the first, if the first train is
stationary.
(A) 20 seconds (B) 15 seconds
(C) 10 seconds (D) 30 seconds
115. A man rows a distance of 6 kilometres in 45 minutes
with the help of the tide. When the direction of the
tide reverses he travels another 16 km in 4 hours. How
many hours would he have saved, had the direction
of the tide not changed?
(A) 4 hours (B) hours2
11
(C) 2 hours (D) hours3
22
116. Tap P can fill a tank in 20 hours and Tap Q can fill the
same tank in 30 hours. Both taps were opened
simultaneously at 6 am and after some time Q wasclosed. If the tank got filled at 9 pm, at what time was
Q closed?
(A) 6 pm (B) 12 : 30 pm
(C) 7 : 30 pm (D) 1 : 30 pm
117. A barrel contains 300 litres of pure wine. From this, 30
litres of wine is replaced with water and the process is
repeated two more times. Find the concentration of
wine in the resultant solution.
(A) 90% (B) 70% (C) 63.9% (D) 72.9%
118. A sum is invested for thr ee years at compound
interests of 8%, 10% and 20% respectively. Find the
sum if at the end of three years, it becomes`14256.(A) `5000 (B) `9000
(C) `8000 (D) `10000
119. An article marked at `840 is sold at `588 at a loss of
2%. By what per cent above the CP was it marked?
(A) 20% (B) 40%
(C) 60% (D) 50%
120. Out of total complaints received by the municipal
corporation, 63% of the households lack water supply,
which is 14% of the households under the municipal
corporation. The households only under the municipal
corporation can lodge complaints. If the total number
of complaints is 1200000, what is the total number of
households under that muncipal corporation?(A) 3600000 (B) 2540000
(C) 1360000 (D) 5400000
121. Find the value of (a + b + c), if a3+ b3+ c3= 99,
(a2+ b2+ c2 ab bc ac) = 3 and abc = 24.
(A) 1 (B) 9
(C) 24 (D) 3
122. Find the least number which when divided by 12, 18
and 33 leaves a remainder of 5 in each case.
(A) 295 (B) 396
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(C) 300 (D) 401
123. A rectangular piece of paper is 71 cm long and 10 cm
wide. A cylinder is formed by rolling the paper along
its breadth. Find the volume of the cylinder.
(Take = 113
355
)(A) 465 cm3 (B) 565 cm3 (C) 365 cm3 (D) 685 cm3
124. The ratio of the ages of four members of a family is 9 :
8 : 3 : 2. The average age of the family is 22 years.
What is the age of the second youngest person of the
family?
(A) 3 years (B) 12 years
(C) 24 years (D) 10 years
125. ?3
11f
4
31
3
12
2
110
7
1
2
11
(A) 1 (B) 2 (C) 3 (D) 4
126. Simplify 1211
4326
813
431
(A) 0 (B) 1 (C) 2 (D) 4
127. The HCF and LCM of two numbers are 21 and 4641
respectively. If one of the numbers lies between 200
and 300, then the two numbers are?
(A) 273, 357 (B) 273, 361
(C) 273, 359 (D) 273, 363
128. Find the LCM of 16x 4x2and x2+ x 6.
(A) 4(x2 4) (x + 3) (B) 6(x2 4) (x + 4)
(C) 8(x2 6) (x + 3) (D) (x2 4) (x 3)
129. What is the sum of all even numbers up to 300?
(A) 22000 (B) 22500(C) 22650 (D) 22750
130. A dealer professes to sell his goods at cost price but
uses a false weight and thus gains %9
111 for a kg.
What is the weight used by him?
(A) 960 gm (B) 940 gm
(C) 900 gm (D) 990 gm
131. I gave `5000 as loan to my landlord who promised to
pay me interest thereon at 12% per annum. How much
does he owe me after one year, if he makes the
deduction of six months rent at `200 per month?
(A) `4000 (B) `4200(C) `4400 (D) `4600
132. The compound interest on a sum of money for 3 years
at 5% per annum is `252.20. What is the simple
interest?
(A) `220 (B) `230
(C) `240 (D) `200
133. A reduction of 10% in the price of mangoes enables a
man to buy 20 more mangoes for `27. What is the
reduced price per dozen?
(A) `1 (B) `1.62 (C) `2 (D) `2.65
134. Two pipes A and B can fill a cistern in 12 hours and 15
hours respectively. Both are opened together, but at
the end of 3 hours the first pipe is turned off. How
much longer will the cistern take to be filled?
(A) hours217 (B) hours
218
(C) hours4
18 (D) hours
4
16
135. If cosec = ...333 find the value of sin .
(A) 1 (B) 0
(C)3
1(D) Cant be determined
136. Find the value of cos20 + cos23+ cos26... cos290.
(A) 15 (B) 15.5
(C) 16 (D) 16.5137. If tanA + cotA = 2, what is the value of tan4A + cot4A?
(A) 2 (B) 16
(C) 0 (D) 4
138. Rahul purchased a bicycle for `5200 and spent `600
on its repairs. He sold it for `5600. Find his profit or
loss percentage.
(A) %29
134 (B) %
29
33
(C) %29
133 (D) %
29
135
139. The incomes of Suresh and Ramesh are in the ratio of7 : 2 and their expenditure is in the ratio of 4 : 1. If each
of them saves `1000, find the expenditure of Suresh.
(A) `20000 (B) `5000
(C) `12000 (D) `10000
140. If sec 4A = cosec (A 20), where 4A is an acute angle,
find the value of A.
(A) 44 (B) 22 (C) 18 (D) 45
141. Evaluate51cos
39sin + 2tan11.tan31.tan45.tan59.
tan79 3(sin221 + sin269)
(A)21 (B)
21 (C)
23 (D) 0
142. If cot
=8
7, then find the value of
)cos1)(cos1(
)sin1)(sin1(
(A)112
58(B)
64
49(C)
13
69(D)
13
64
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143. Evaluate sin .cos )90sec(
cos)90cos(.sin
)90(osecc
sin)90sin(.cos
(A) 1 (B)2
1(C) 0 (D)
2
1
144. If tan (A + B) = 3 , and tan (A B) = 3
1and
0 < A + B < 90, find A and B respectively.
(A) 60, 30 (B) 45, 45
(C) 45, 15 (D) 50, 20
145. 9sec2A 9tan2A = ?
(A) 1 (B) 9 (C) 8 (D) 0
Directions (146-150): Study the following pie-chart
carefully and answer the given questions.The pie-chart shows the investment of a person in
different sectors out of `50000.
Real
Estate
22%
Banks
7%Pension
Plan
18%
NSC
15%PP F
10%
Shares
28%
146. The persons investment in NSC is what per cent more
than that in PPF?
(A) 5% (B) 25% (C) 30% (D) 50%
147. How much does the invest in Real Estate?
(A) `10000 (B) 11000
(C)`15000 (D) 18000
148. What is his average investment in Banks and Pension
Plan?
(A) `6500 (B) `4000
(C) `6250 (D) `5500
149. Investment in Shares is what per cent more than that
in Banks?(A) 200% (B) 250%
(C) 150% (D) 300%
150. What is the average investment in Shares, PPF and
NSC?
(A) `8000 (B) `7999.9
(C) `9129.5 (D) `7833.3
Part-D: English Comprehension
Directions: 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. Design specialists refers to the sink, cooking range
(A)
and refrigerator as the Kitchen Triangle, an area of
(B)
significant movement that requires careful planning
(C)
and unobstructed ingress. No error
(D)
152. Ever since the Delhi Jal Board was constituted in 1998,
(A)
Delhi has had a system of telescopic pricing for water.
(B) (C)
No error (D)
153. I had better died than live in disgrace. No error
(A) (B) (C) (D)
154. The loss of international credibility is just one of the
(A) (B)
worry for Sheikh Hasina. No error
(C) (D)
155. Every organisation needs to be proactive in devised
(A) (B)
strategies to ensure the retention of staff. No error
(C) (D)
Directions: In question nos. 156 to 160 sentences
are given with blanks to be filled in with an appropriateword(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.
156. Natural resources must not be given away to private
companies in general and to foreigners in ________.
(A) special (B) particular
(C) honour (D) excess
157. Any decision on a project should be taken fast ,
________ in approval or otherwise.
(A) neither (B) if
(C) however (D) whether
158. The younger generation seeks a dynamic primeminister who will ________ economic progress in all
the states of the country.
(A) turn over (B) call out
(C) bring about (D) make up
159. UK documents claiming to show the ex-premier
Margaret Thatcher sent a British advisor to ________
the Indian army on Operation Bluestar must be
investigated in detail.
(A) counsel (B) groom
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(C) teach (D) aid
160. Mr Singh has betrayed civil service etiquette; his
allegations have only ________ his own dignity.
(A) underlined (B) undermined
(C) underscored (D) underhand
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. Cemetery
(A) mortar (B) condemnation
(C) pottery (D) graveyard
162. Ambient
(A) surrounding (B) vague
(C) submissive (D) copious
163. Impair
(A) share (B) damage
(C) divulge (D) immovable
164. Shrug(A) push (B) languish
(C) dislike (D) avoid
165. Effrontery
(A)shamelessness (B) rejection
(C) resilience (D) vanity
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. Precocious
(A) mature (B) advanced
(C) unintelligent (D) suspicious
167. Mount
(A) soar (B) escalate(C) height (D) descend
168. Rosy
(A)depressing (B) rough
(C) prickly (D) blushing
169. Inhibit
(A) obstruct (B) impede
(C) encourage (D) prohibit
170. Punctilious
(A)conscientious (B) careless
(C) precise (D) particular
Directions: In question nos. 171 to 175, four
alternatives are given for the idiom/phrase bold-italicised
in the sentence. Choose the alternative which bestexpresses the meaning of the idiom/phrase and mark it in
the Answer Sheet.
171. Yesterday her mothergave up the ghost.
(A) met a ghost (B) died
(C) saw a ghost (D) dreamt of a ghost
172. Mercedes is a white elephantfor a student.
(A) useful material (B) necessary item
(C) costly and useless item(D) luxurious car
173. Her son left her in the lurch.
(A) helped her in difficult situation
(B) provided her medicine
(C) left her in the church
(D) abandoned her when she needed help
174. The Delhi Policeset the baitto arrest the criminal.
(A) chased the criminal
(B) announced the reward
(C) laid the trap
(D) took a decision
175. When he was at a Metro Station in New Delhi, heran
intoan old friend.
(A) met accidentally (B) remembered
(C) decided to meet (D) telephoned
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. The fog in Kathmandu do not prevent us from reaching
the airport by 7:45 am.
(A) ought not prevent (B) could not prevent
(C) must not prevent (D) No improvement
177. In the six-car cavalcade, we was with us one of the
worlds greatest treasures the FIFA World Cup
trophy.
(A) we had with (B) we were with
(C) we have have (D) No improvement
178. Without a copy of Aadhar card your application for
new gas connection is not in process.
(A) are not able to processed
(B) has not been processing(C) cannot be processed
(D) No improvement
179. Several good books have been published by BSC.
(A) books are going to published
(B) books had published
(C) books are publishing
(D) No improvement
180. Manish met his friend on the bus in which he was
travelled.
(A) he did travelled (B) he was travelling
(C) he has to travel (D) No improvement
Directions: In question nos. 181 to 185, out of the
four alternatives, choose the one which can be substitutedfor the given words/sentence.
181. Not connected with spiritual or religious matters
(A) Secular (B) Nondescript
(C) Moribund (D) Impudent
182. Speaking very softly or quietly
(A) Stammer (B) Screech
(C) Jitter (D) Whisper
183. Sum of money advanced to a person for a particular
purpose
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(A) Loan (B) Imprest
(C) Aid (D) Gift
184. Persons, animals or planets that live, grow or are often
found in a particular place
(A) Citizen (B) Netizen
(C) Denizen (D) Pagan
185. Most important part of something
(A) Nitty-gritty (B) Rendition
(C) Connoisseur (D) Quintessence
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 appropriate
rectangle.
186. (A) millionair (B) billionaire
(C) tycoun (D) lumsum
187. (A) stubborn (B) unconceiled
(C) opposit (D) indosility
188. (A) paroachial (B) parrenthesis(C) outcaste (D) parsonage
189. (A) inzurious (B) fibrous
(C) genuin (D) analogus
190. (A) impregnated (B) predilekson
(C) accenchuate (D) trumble
PASSAGE I (Question Nos. 191 to 195)
The coal situation in India reminds me of the famous
line, "Water, water, everywhere, but not a drop to drink!"
India, with estimated coal reserves of 280 billion tonnes, is
said to be the fifth largest in terms of reserves. Of this, 110
billion tonnes are "proven" reserves. At our current rate of
production, just the proven reserves are enough to carry
on for more than 100 years. But even then, our coalproduction falls short of actual requirements and India
needs to import coal. So, we have 280 billion tonnes of coal
reserves, but inadequate availability!
With demand for electricity greater than supply, the
Indian economy is on the verge of a power crisis. A principal
reason for this is inadequate availability of coal. Coal, as a
fuel, accounts for almost 59% of India's total power
generation (132 GW of a total 226 GW of electricity output
is from coal). Coal is also an input for a large number of
other industries, like iron and steel, cement, fertiliser and
so on.
In 2012-13, total domestic demand for coal was 773
million tonnes while production was 569 million tonnes.The deficit was largely met by imports and almost $16 billion
worth of coal was imported from Indonesia, Australia and
South Africa. This has been happening every year and
such imports are aggravatingthe current account deficit,
one of the reasons why the rupee has been depreciating
against the dollar.
Coal is primarily mined and controlled by Coal India
(CIL), but the current level of mechanisation at the public
sector behemoth is inadequate, compromising the
productivity and efficiency levels and resulting in shortage
of coal. Thus, the scarcity is absolutely artificial. It is
difficult to take a call on which route for assigning coal
blocks is better: allotment or auction. The government of
India had allotted coal blocks on a project-specific basis,
but little support was extended to them in terms of enabling
them to start mining.
Not being able to start mining effectively leads to
cancellation of allotment. On the other hand, it has been
argued that coal being a finite, nonrenewable natural
resource, auction is a better option. But auction of a key
raw material like coal is bound to have an inflationary impact
across the board, be it agriculture, industry or service
sectors. So, allocation of coal blocks must be dealt with in
an intelligent manner, keeping in mind the interest of the
general public.
191. Why does the author say, Water, water everywhere
but not a drop to drink!?
(A) To express his anguish over non-availability ofpure water
(B) To express his concern over underproduction of
coal
(C) To express that India has a vast reserve of poor
quality of coal
(D) None of these
192. Which of the following statements is not true is the
context of the given passage?
(A) Our coal production is not enough to meet our
actual requirement.
(B) We have 280 bn tonnes of coal reserves.
(C) Indian economy is on the verge of power crisis
due to inadequate supply of electricity.(D) Coal is an output of a large number of industries
like cement, iron and steel, fertiliser and so on.
193. Which of the following is one of the reasons of Indias
current account deficit? Give your answer in the
context of the given passage.
(A) Indias export is more than its import.
(B) India has to pay a huge amount for import of coal.
(C) Export of gold jewellery
(D) Corruption and inflation
194. What is the antonym of the word aggravating as
used in the given passage?
(A) Alleviating (B) Provoking
(C) Increasing (D) Waxing195. The auction of coal blocks has inflationary impact on
(A) Service sector (B) Agriculture
(C) Industry (D) All the above
PASSAGE II (Question Nos. 196 to 200)
Each time the RBI Governor takes the stage to give us
the latest bad news on the economy and interest rates, the
air becomes thick with avian metaphors. When a journalist
said, The policy action is hawkish but the guidance is
dovish. So is not the guidance anti-inflationary?, he drolly
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replied: We are neither hawks nor doves but actually owls.
If figuring out this exchange is giving you a mild
headache, may be youd like to know more about how
central bankers came to acquire feathered friends.
Policymakers are tagged as hawks or doves depending
on how aggressive they are in dealing with the challenges
they face. Like the predatory hawk which swoops down
on its unsuspecting prey, hawkish policymakers like to go
on the offensive to tackle a problem. They favour the Wild
West approach shoot and then ask questions.
Dovish policymakers, on the other hand, are more
peace-loving an d pr efer coaxing th e enemy int o
submission. This terminology which originated in the
military has now found its way into the world of money
and finance.
Coming to monetary policy, inflation hawks
aggressively pursue the goal of keeping inflation in check
by ruthlessly subduing it with high interest rates (more on
this later).The doves, on the other hand, have a more benign
view on inflation. They argue that if you keep rates low,
companies will borrow more, put up more manufacturing
units, produce more goods and services. Thus, supply will
eventually catch up with demand, reducing inflation.
Its these birds that call the shots when it comes to the
big macroeconomic decisions that affect a country and its
people. Lets take the case of the RBI.
Suppose the RBI is hawkish believes that inflation
is a worry. What does it do? It promptly increases the repo
rate, the rate at which banks borrow money from the RBI.
Banks in turn try recovering this increase in cost from their
customers in the form of higher loan rates. This workstowards reducing peoples spending people take fewer
loans and buy fewer homes, cars and other things. As
consumption falls, it helps soothe prices. Remember the
textbook definition of inflation: too much money chasing
too few goods. So, if you cant produce more goods quickly,
the next best thing to do is to make people buy fewer goods.
196. How do the dovish policymakers behave with their
enemies?
(A) Like the predatory hawks, dovish policymakers
swoop down on their prey.
(B) They prefer to persuade their enemies into
submission.
(C) They prefer to kill their enemies than to force them
to surrender.
(D) They prefer to transform their enemies into their
friends.
197. What do the economic terms hawksor dovessignify?
(A) Hawks are predatory birds while doves are peace-
loving birds.
(B) Hawks signify agility while doves signify
dullness.
(C) Hawks symbolise cruelty while doves symbolise
gentleness.
(D) Hawks or doves signify the aggressiveness of
the policymakers in dealing with the challenges
they face.
198. What do the hawkish policymakers do?
(A) They try aggressively to keep inflation under
control.
(B) They do not take inflation so seriously.(C) They argue that low interest helps borrowers, who
ultimately produce more goods and eventually
catch up with demands and thus inflation is
contained.
(D) All the above
199. Which of the following is not true in the context of the
given passage?
(A) To contain inflation, RBI increases the repo rate.
(B) The repo rate is the rate at which RBI lends money
to banks.
(C) To compensate the interest burden caused due
to increase in repo rate, banks charge higher rate
of interest from loan borrowers.(D) None of these
200. What is the meaning of the word benign as used in
the given passage?
(A) tough (B) stern
(C) lenient (D) firm
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2.C;
Similarly,
3.A; Root is the base of a tree and foundation
is the base of a house.
4.C; First and second are synonyms.
5. A; First refers to the absence of the
second.
6.C;
Similarly,
7.B;2
numberrd3numberst1 = 2nd number
Now,2
219 =
2
30= 15
Thus, 9 : 15 : 21
Similarly,2
164 =
2
20= 10
Thus, 4 : 10 : 16
8.B; 15 2 + 6 = 36
Similarly, 23 2 + 6 = 52
9. C; b
ccg
/bcc
g/b
ccg/bccg10. C; cabbac/cabbac/cabbac
11. A; Remaining diseases are caused due to
deficiency of vitamins but Goitre is caused
due to the deficiency of iodine.
12 . C; Rest are metals while Bromine is a
non-metal.
13. B; Rest are pairs of odd numbers.
14.C; Sum of digits in all other options is 8.
15. A; In all others, 2nd letter 3rd letter
1st letter in alphabetical order.
16. C;
17 . D; The series is a combination of two
series:
18.B;
19.D; 2 + 5 = 7
Similarly, 4 + 9 = 13
So, 8 + 1 = 9
20.C; 115 + 111 = 226
226 + 111 = 337
337 + 111 = 448
448 + 111 = 559
21.A; Similarly,
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22.B;
Similarly,
So,
23.C; Bees makes Honey and Honey is called
Milk. So, the correct answer is Milk.
24.A; (2 16 18) 5 + 2
After substituting, we get
(2 16 + 18) 5 2
= (32 + 18) 5 2
= 50 5 2 = 10 2 = 8
25.C; 8 7 40 8 51
Then, 8 7 40 8 = 51
or, 56 5 = 51
26. C; At 3 : 15 both hands of a watch will
coincide and as given in the question, if hour
points towa rds north, the minute hand will
also point towards north.
27.A;
28.D; A
29.B; 6 + 5 + 1 = 12 3 = 36
Similarly, 5 + 3 + 4 = 12 5 = 60
So, 2 + 3 + 7 = 12 7 = 84
30.C; 2 + 1 = 3, 3 + 1 = 4, 4 + 1 = 5.
Similarly, the second part of the circle follows
the rule,
5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14
31.B; 3 8 = 24, 8 9 = 72, 9 6 = 54, 6
3 = 18
32. A; There is no V in the keyword.33. C; There is no E in the keyword.
34. B; There is no A in the keyword.
35. C; 6000 + 84 = 6084 = (78)2
Hence, 84 is added to the number to make it
a perfect square.
36.A;
37. D;
38. A; Some blankets are pillows (I) + All
pil lows are books (A) = I + A = I = Some
blankets are books conversion Some
boo ks ar e blanke ts. Hence con clus ion Ifollows.
Again, Some blankets are pillows
conversion Some pillows are blank ets.
Hence conclusion II does not follow.
39. C; No American is an Indian (E) + No
Indian is a boy (E) = E + E = No conclusion.
Hence conclusion I does not follow.
No Indian is a boy conversion No boy
is an Indian. Hence conclusion II follows.
40. C 41. B 42. C 43. D 44. C
45. A 46. D 47. C 48. B
49. C; ABD, ABH, ABI, ADI, AEH, BCD,
BCF, BFG, BFH, BGH, BHI, CFH, DEG, GHI.
Thus, there are 14 triangles.
50.A; T 03, 10, 56, 68, 78
E 11, 43, 59, 75, 97
M 21, 31, 32, 58, 69
P 12, 40, 55, 96, 99
TEMP 68, 11, 69, 40
51. C 52. B 53. B 54. A 55. D
56. D 57. B 58. B 59. B 60. D
61. C 62. A 63. D 64. C 65. C
66. B 67. A 68. D 69. A 70. A
71. D 72. B 73. B 74. B 75. D
76. D 77. A 78. A 79. D 80. C
81. C 82. C 83. A 84. B 85. B
86. D
87. D; Meira Kumar
88. C 89. B 90. A
91. A 92. C 93. B 94. C 95. A96. D 97. C 98. C 99. A 100. C
101. D;
OAB = OBA (radius = equal sides)
AOB = 180 (45 + 45) = 180 90 = 90
Now, area of sector =360
)radius( 2
=360
9077
7
22 = 38.5 cm2
Area of OAB
= sinr2
1 2= 90sin49
2
1=
2
49= 24.5
Area of shaded portion
= 38.5 24.5 = 14 cm2
102.D; Area of equilateral triangle
=22 a3)a2(
4
3
Area of square ACOB
=2
)diagonal( 2=
22
a82
a16
Reqd ratio = 2
2
a8
a3= 3 : 8
103. D; Now, perimeter of base height =
LSA (lateral surface area)
Height =
38
342= 9 cm
104.D; Area of a square inscribed in a circle
of radius r is 2r2.
So, the area of square = 2r2= 2 6 6
= 72 cm2
105.D; Volume of sphere =3r
3
4
After 50% increase in radius
Volume of sphere =
3
2
r3
7
22
3
4
Percentage increase in volume
=3
33
r3
4
r3
4
2
r3
3
4
= 1008
19 = 237.5%
106.C; PX = 2PQ = 2 4 = 8 cm
Now, PX PY = PQ PR
or, 8 20 = 4 PR
or, PR = 40 cm
QR = 40 4 = 36 cm
107.D; OA and OB are radii.
OAB = OBA
Similarly, OCB = OBC
Now, BOC = 180 60 = 120
Again, AOB = 180 80 = 100
Hence, AOC = 100 + 120 = 220
108.C; ABCD is a square whose side is 4cmSo, AB = AC = CD = BD = 4 cm
Now, CD : DE = 2 : 5
So, 2x = 4
x = 2 cm
Thus, DE = 5 2 = 10 cm
Now, a rea of triangle BDE
= DEBD2
1 = 104
2
1 = 20 cm2
109.B; OBC = 90
OAB = OBA
Now, in OAB,
OAB + AOB + OBA = 180
( OBA = OAB)
or, OAB + 120 + OAB = 180
or, 2 OAB = 180 120 = 60
OAB =2
60= 30
Again, ABC = OBC OBA
(
OBA = OAB)
= 90 30 = 60
110.D; BCD =2
1
BCA = 30
In DBC, BDC = {180 (90 + 30)} = 60
111. D; Required number of balls
=
2223
4
111216
= 63
112. B; Total surface area = 2(lb+ bh + hl)
= 2(9 8 + 8 7 + 7 9)
= 2(72 + 56 + 63)
= 2(191) = 382m2
Volume = l b h= 9 8 7
= 72 7 = 504m2
113.C; to...)32()32(32 36
1
6
1
x...
36
1
6
11
3232
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where x =r1
ato...
36
1
6
11
5
6
6
11
1
Product = 6422)32(65
6
55
6
114. B; Speed of 1st train = 20 m/s
Speed of 2nd train = 20 m/s
Distance = (300 + x)
Now, 20 =20
)x300(
or, x = 100m
Now, distance = 100 + 200 = 300m
Speed of the second train = 20 m/s
T = Speed
Distance=
20
300= 15 seconds
115. C; Let the speed of the man be M and
that of the tide be T. Then
Speed in favourable direction
(M + T) =45
606 = 8 kmph
Speed in unfavourable direction (M T)
=4
16 = 4 kmph
Now, M + T = 8, M T = 4
So, M = 6 kmph and T = 2 kmph
Now, favourable time =8
16= 2 hours
Hence, he saves (4 2) = 2 hours
116.D; In 15 hours Tap P can fill
20
15=
4
3part
So, Q will fill
4
1 part.
Time taken by Q =4
30 =
2
17 hrs to fill
4
1 tank
So, Q was closed at 6 am + 7 : 30 minutes
= 1 : 30 pm
117. D; Reqd concentration
= 100300
303003
= 72.9%
118. D; Let the sum be x.
Then,100
120
100
110
100
108x = `14256
x = `10000
119.B; Loss % = icePrCost
588icePrCost
or, icePrCost
588icePrCost
100
2
or, CP = `600
Loss = 840 600 = `240
Reqd % = 100600
240 = 40%
120.D; 1200000100
63 = 756000
Now, let the total number of households under
the municipal corporation be x.
Then, 14% of x = 756000
or, 100
x14
= 756000
x = 10014
756000 = 5400000
121.B; a3+ b3+ c3 3abc
= (a + b + c) (a2+ b2+ c2 ab bc ca)
Now, (a + b + c) =3
24399 = 9
122. D; LCM of 12, 18, 33 = 396
Hence, least number = 396 + 5 = 401
123. B; Circumference of the paper
= Breadth of the paper
or, 2
r = 10
or, r = 2
10
= 3552
11310
= 71
113
cm
The length of the paper becomes the height
of the cylinder.
Volume of cylinder = r2h
= 7171
113
71
113
113
355 = 565 cm3
124. B; Let the ages be 2x, 3x, 8x and 9x
respectively. Then, average age
=4
x2x3x8x9
= 22
x = 4
Now, second youngest person of the family
= 3x = 3 4 = 12 years
125.B;34of
47
37
221
71
23
=3
7
3
7
2
21
7
1
2
3
= 12
21
7
1
2
3
12
61
2
3
2
3 = 2
126.B;12
11
4
116
8
25
4
7
=12
226
8
25
4
7
= 6
116
8
25
4
7
=6
25
8
25
4
7
=25
6
8
25
4
7
=4
3
4
7=
4
4= 1
127. A; Product of the numbers
= HCF LCM
= 21 4641 = 3 7 3 7 13 17
The numbers can be 3 7 13 = 273
and 3 7 17 = 357
128.A; Let p(x) = 16 4x2 = 4(4 x2)
= 4(2 x) (2 + x) = 4(x 2) (x + 2)
q(x) = x2 + x 6= x2+ 3x 2x 6
= x(x + 3) 2(x + 3)
= (x 2) (x + 3)
LCM = 4(x 2) (x + 2) (x + 3)
= 4(x2 4) (x + 3)
129. C; The number of even numbers up to
300 = 1502
300
Sum of even numbers = n(n + 1)
= 150(150 + 1)
= 150 151 = 22650
130.C; If x is the error
then, 100
x1000
x = %
9
111
or,9
1
x1000
x
or, 9x = 1000 x
or, 10x = 1000
or, x = 100g
True weight = 1000 100 = 900g
131.C; Net earning = Interest House rent
= 20061100
125000
600 1200 = 600
Amount due to me after a year
= 5000 600 = `4400
132.C; CI = 1100
r1P
n
= 1100
51P
3
= 120
21P
3
= 18000
9261P
=8000
80009261P
=8000
P1261
Now,8000
P1261= 252.20
or, P =1261
100020.252 = `1600
So, SI =100
351600
100
trP
= `24 0
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K
KUNDAN
133.B; Savings on `27 = 27 100
10= `2.70
Reduced price of mangoes = 1220
70.2
= `1.62
134. C; Pipe (A + B) fill the cistern together
in 1 hr =20
3
60
9
15
1
12
(A + B) fill the cistern in 3 hours
=20
93
20
3
Remaining part = 1 20
9=
20
11
Pipe B can fill the cistern in 15 hours.
20
11 part of the cistern can be filled in
= 4
1
84
33
20
11
15
hours
135.C; cosec = to...333
Squaring both sides
cosec2 = to...3333
or, cosec2
= 3cosec
or, cosec2 3cosec = 0
or, cosec (cosec 3) = 0
Hence, cosec
= 0
or, cosec = 3
sin
=3
1
136.B; (cos20 + cos290) + (cos23 + cos2
87) + (cos26 + cos284) + ... (cos242 + cos2
48) + cos245
= 15 1 +2
1
= 15 +2
1=
2
31= 15.5
137.A; tanA +Atan
1= 2
or, tan2A + 1 = 2tanA
or, tan2A 2tanA + 1 = 0
or, (tanA 1)2 = 0
or, tanA = 1 and cotA = 1
Now, tan4A + cot4A = 1 + 1 = 2138.C; Cost price of the bicycle
= 5200 + 600 = `5800
SP = `5600
Since SP < CP
Loss = CP SP = 5800 5600 = `200
Loss % =CP
100loss =
5800
100200
=29
100= %
29
133
139.A; We have, a : b = 7 : 2, c : d = 4 : 1 and
saving (s) = `1000
Sureshs expenditure =bcad
)ab(cs
=
)4217(
)72(10004
= `20000
140. B; sec4A = cosec(90 4A)
or, cosec(90 4A) = cosec(A 20)
or, 90 4A = A 20
A = 22
141. D;51cos
39sin + 2tan11.tan31.tan45.
tan59.tan79 3(sin2 21 + sin2 69)
=51cos
)5190sin( + 2tan11.tan31.tan45.
tan(90 31).tan(90 11) 3(sin221 +
sin2 (90 21))
=
51cos
51cos + 2tan11.tan31.tan45.cot31.
cot11 3(sin221 + cos221)
= 1 + 2tan11.cot11.tan31.cot31.tan45
3 1
= 1 + 2 1 1 1 3 = 0
142.B; cot =8
7, so b = 7, p = 8,
h = 4964bp 22
= 113
Now, )cos1)(cos1(
)sin1)(sin1(
= 2
2
cos
sin1
64
49
113
491
113
641
143. C; sin cos )90sec(
cos)90cos(sin
)90(cosec
sin)90sin(.cos
= sin
.cos
eccos
cossinsin
sec
sincos.cos
= sin
.cos
sin3
.cos
cos3
.sin
= sin
.cos
(1 sin2
cos2
)
= sin cos {1 (sin2 + cos2 )}
= sin
.cos
(1 1) = 0
144.C; tan 60 = 3
tan 30 =3
1
Thus, A + B = 60 ... (i)
And, A B = 30 ... (ii)
Equating, we get = A = 45, B = 15
145.B; 9sec2A 9tan2A =Acos
Asin9
Acos
92
2
2
= 9Acos
Acos9
Acos
)Asin1(9
2
2
2
2
146.D; Investment in NSC =100
1550000
= `7500
Investment in PPF =100
1050000= `5000
Reqd % = 1005000
50007500
= 1005000
2500 = 50%
147. B; Investment in Real Estate
= 100
2250000
= `11000
148.C; Average =2
100
5000018
1000
500007
=2
90003500 =
2
12500= `6250
149. D; Investment in Shares
=100
5000028= `14000
Investment in Banks =100
500007 = `3500
Reqd % = 1003500
10500 = 300% more
150.B; Average
=3
100
5000015
100
5000010
100
5000022
=3
7500500011000 =
3
23500= `7833.3
151.A; Replace refers with refer
152. D
153. A; Replace died with die
154.B; Replace worry with worries
155.B; Replace devisedwith devising
156. B 157. D 158. C 159.A 160. B
161. D 162.A 163. B 164. C 165.A
166. C 167. D 168.A 169. C 170. B
171. B 172. C 173. D 174. C 175.A
176. B 177.A 178. C 179. D 180. B
181.A 182. D 183. B 184. C 185. D
186. B 187.A 188. D 189. B 190.A
191. B 192. D 193. B 194.A 195. D
196. B 197. D 198.A 199. D 200. C