Exam Details

Subject
Paper paper 1
Exam / Course ssc cgl combined graduate level
Department
Organization Staff Selection Commission
Position
Exam Date 01, July, 2012
City, State central government,


Question Paper

Directions In each of the following
questions, select the related letters word in
umber from the given alternatives.
1. 8 12 6
8 11
5 7
2. 13: 19: 21
41 81
141 14
3. Eagle Swoops Duck:
waddles floats
swims flits
4. APPLE: 50 ORANGE
60 69
61 63
5. Accommodation: Rent:: Journey:
Freight Octrol
Fare
Expense
6. Fire Smoke
Children School
Cloud Rain
Moon Sky
Shoe Polish
7. Grenade: Gun:
Sister Brother
Father Mother
Man Woman
Head Brain
8. TSH IRQ QPK
LNO LON
PWK PON
9. AEZ FPY BGX
HWW IYY
HTX HYW
Directions (10 17) In each of the following
questions, find the odd number /letters/word
number pair from the given alternatives.
10. SP NL
ZW TQ
11. Major Colonel
Brigadier Admiral
12. Life Insurance Corporation
New India Assurance Company Ltd.
United India Insurance Company Ltd.
National Insurance Company Ltd.
13. Hurdle Disease
Barrier Obstacle
14. Mar Remedy
Maim Mutilate
15. Socrates Beethoven
Mozart Bach
16.

17. 6246-6296 7137-7267
4344-4684 5235-5465
Directions (18 In each of the following
questions, a series is given, with one term
missing. Choose the correct alternative from the
given ones that will complete the series.
18. YX, UTS, ONML,
FEDCB CFEDC
IHGFE HGFED
19. DA, HE, LI, TN
SOLVED PAPER
SSC COMBINED GRADUATE LEVEL
Tier-I EXAM
Held on: 01.07.2012 (First Sitting)
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2 SOLVED PAPER
PJ PT
PM PK
20. B E I NT
X Y
A Z
21. AZ, CX, EV,
HT HU
GS GT
22. D9Y, J27S, P81M, V243G,
A324B C729B
B729A A729B
23. Which one set of letters when sequentially
placed at the gaps in the given letter series
shall complete it

daabbc bdbcba
adabcd cdbbca
Directions (24 In each of the following
questions, identify the wrong number in the
series.
24. 170,340
83. 40
340 170
25. 21,28,33,35.37,36
21 36
33 35
26. 5,13,29,61,120,253
120 253
61 29
27. 124,215
28 215
7 63
28. Some relationships have been expressed
through symbols which are explained
below:
0 greater than
D not equal to
× not less than
equal to
f not greater than
Ñ less than
a Ñ b Ñ c implies
a DA b f c
a b c
a o b c
a o b x c
29.
2 3
4 5

14400 15600
23040 17400
30. If PEAR is written a GFDN how is REAP
written in this code?
FDNG NFDG
DNGF NDFG
31. If 54 43 60 51 10, then 62 72
30 18
20 9
32. If L denotes x
M denotes ÷
P denotes
Q denotes
then 16 P 24 M 8 Q 6 M 2 L 3
10 9
12 11
33. In this question, from the given alternatives
select the word which cannot be formed by
using the letters of the given word.
APPROPRIATE
PIRATE APPROVE
PROPER RAPPORT
34. If FLATTER is coded as 7238859 and
MOTHER is coded as 468159, then how is
MAMMOTH coded?
4344681 4344651
4146481 4346481
35. If l6 2,9 3 81 then what is 64
4
4 2
6 8
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SOLVED PAPER 3
Directions (36 37) In each of the following
questions, select the missing number from the
given responses.
36.
20 10
25 15
37.
10 11 15
12 12 8
4 12 10
10 5 13
18 20
21 20
23 22
38. Four aeroplanes of Airforce viz,
started for a demonstration flight towards
east. After flying 50 km planes A and D flew
towards right, planes B and C flew towards
left. After 50 km, planes B and C flew
towards their left, planes A and D also
towards their left. In which directions are
the aeroplanes C respectively flying
now?
North, South" East, West
South, North, West, East
East, West, West, East
West, East, West, East
39. Satish start from A and walks 2 km east upto
B and turns southwards and walks 1 km
upto C. At C he turns to east and walks 2 km
upto D. He then turns northwards and
walks 4 km to E. How far is he from his
starting point?
5km 6km
3km 4km
Directions (40 In each of the following
questions, one/two statements are given,
followed by two conclusions I and II. You have
to consider the statements to be true, even if they
seem to be at variance from commonly known
facts. You have to decide which of the given
conclusions, if any follow from the given
statement.
40. Statements
Temple is a place of worship. Church is also
a place of worship.
Conclusions:
I. Hindus and Christians use the same
place for worship.
II. All churches are temples.
Neither conclusion I nor II follows
Both conclusions I and II follow
Only conclusion I follows
Only conclusion II follows
41. Statement:
The human organism grows and develops
through stimulation and action.
Concluslons:
I. Inert human organism cannot grow and
develop.
II. Human organisms do not react to
stimulation and action.
Neither conclusion I nor II follows
Both conclusions I and II follow
Only conclusion I follows
Only conclusion II follows
42. If the first four letters of a term
HIPPNOWADIASM are written in reverse
order, the next five letters are written without
changing their order and then, the remaining
letters are again written in reverse order,
then which letter is in the middle of the word?
O W
A I
43. In the following letter series how many times
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4 SOLVED PAPER
do PQR occur in such away hat Q is in the
middle of P and R.
Q M P N P Q R R O P N O P P R P
M Q R O P Q R P P R R P Q R P
5 6
4 3
44. Volume of a sphere is equal to the volume of
a hemisphere. If the radius of the hemisphere
is 33 2 cm, then the radius of the sphere is
equal to
93 2 cm
63 2 cm
27 cm
3 cm
45. A sheet of paper has been folded as shown
by the question figures. You have to figure
out from amongst the four answer figures
how it will appear when opened?
Question Figures
Answer Figures

46. Which of the answer figure is exactly the
mirror image of the question figure if a mirror
is placed on the line MN?
Question Figure
Answer Figures

B B B
B B
B
B B
47. If SEARCH is coded as TFBSDI. how will
PENCIL be coded?
RGPEN LICNEP
QFODJM QLMBHK
48. Which answer Figure completes the form in
question figure?
Question Figure
Answer FIgures

49. From the answer figures, select the one in
which the question figure is hidden/
embedded.
Question Figure
Answer Figures

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SOLVED PAPER 5
50. A word is represented by only one set of
numbers as given in anyone of the
alternatives. The sets of numbers given
in the alternatives are represented by
two classes of alphabets as in two
matrices given below. The columns and
rows of Matrix I are numbered from 0 to
4 and that of Matrix II are numbered from
5 to 9. A letter from these matrices can be
represented first by its row and next by
its column, e.g. can be represented
by 10. 33, etc and can be represented
by 59. 78. etc. Similarly you have to
identify the set for the word GUIDE.
Matrix I
0 1 2 3 4
0 I E A O U
1 A O U I E
2 E I O U A
3 O U E A I
4 U A I E O
Matrix II
5 6 7 8 9
5 F D B G H
6 B G H F D
7 D F G H B
8 G H D B F
9 H B F G D
85, 23, 21, 87, 32
58, 31, 12, 57, 41
77, 13, 42, 99, 32
66, 31, 43, 78, 14
GENERAL AWARENESS
51. The National Commission for Minorities
was constituted in the year
1990 1992
1980 1989
52. The first Indian who was chosen as the
Secretary General of Commonwealth is
Rakesh Verma
Gopalaswami
Krishna Murthy
Kamalesh SHarma
53. In which of the following systems of
government is bicameralism an essential
feature?
Federal system
Unitary system
Parliamentary system
Presidential system
54. Kuldip Nayer, a journalist, was appointed
as a High Commissioner in
Sri Lanka Australia
UK Pakistan
55. Which king is referred to as Devanampiya
Piyadassi (Beloved of the Gods) in the
inscriptions?
Asoka Harsha
Bindusara
Chandragupta Maurya
56. Socialism succeeds in achieving
higher standard of living of the people
equal distribution of income in the
society.
higher individual welfare in the society
maximum social welfare in the society
57. Monopolist resorts to price discrimination
depending upon the
Elasticity of supply
Elasticity of demand
Law of demand
Law of supply
58. Economic planning is an essential feature
of
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6 SOLVED PAPER
Socialist economy
Capitalist economy
Mixed economy
Dual economy
59. The HYV programme in India is also' called
as
Traditional Agriculture
New Agricultural Strategy
White Revolution
Blue Revolution.
60. The National Policy for Empowerment of
Women was adopted in the year
2001 2005
1991 1995
61. Ballots were first used in
Australia
USA
Ancient Greece
England
62. The Rashtrtya Barh Ayog is related
with
Droughts and Floods
Poverty Alleviation
Floods
Disaster Management
63. Which of the following criteria is not used
for the classification of human races?
Nose Hair
Eyes Ear
64. Railway coaches are manufactured at
Jamshedpur
Chittaranjan
Perambur
Varanasi
65. Fertilization occurs normally in the
Cervix
Vagina
Fallopian tube
Uterus
66. People consuming alcohol in heavy
quantities generally die of
liver or stomach cancer
weakening of heart muscles leading to
cardiac arrest
blood cancer
Cirrhosis
67. The organisms at the base of the grazing
food-chain are
Carnivores Decomposers
Producers Herbivores
68. Who among the following was credited
with the destruction of Chinalgani, a group
of powerful nobles?
Balban
Qutb-ud-din Aibak
Iltutmish
Razia- Sultan
69. Bombay was given away as dowry to the
English King Charles II for marrying the
Princess of
France Portugal
Holland Denmark
70. The 'Grand Trunk Road built by Shershah
connected Punjab with
Agra East Bengal
Lahore Multan
71. Nam the Maratha Saint who was a
contemporary of Shivaji.
Saint Eknath
Saint Tukaram
Saint Dhyaneshwar
Namdev
72. The study of lake is called
Topology
Hydrology
Limnology
Potomology
73. A series of lines connecting places having a
quake at the same time are called
Homoseismal lines
Seismolines
Coseisrnal lines
Isoseismallines
74. is the unit of
Illuminance
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SOLVED PAPER 7
Brightness
Luminous flux
Luminous intensity
75. The transfer of date from a CPU to peripheral
devices of computer is achieved through
interfaces
buffer memory
modems
computer ports
76. Which of the following items is not used in
Local Area Networks (LANs)
Interface Card
Cable
Computer Modem
77. The mass of 10 moles of water is .
90 g 45 g
18 g 180 g
78. Vitamin A is rich in
Carrot Lime
Beans Rice
79. The high boiling point of water compared
to hydrogen sulphide or hydrogen chloride
is due to
Dipole insulation
Vander Waal's attraction
Polar covalent bonding
Hydrogen bonding
80. Which of the following determines the
chemical properties of an element?
Number of electrons
Number of neutrons
Number of protons
All of the above
81. The Central Drug Research Institute of India
is located at
Madras Lucknow
Delhi Bangalore
82. Which of the following cereals was among
the first to be used by man
Rye Wheat
Rarley Oat
83. What of the following wheat species are
being cultivated in India?
Club wheat Durum wheat
Emmer wheat Bread wheat
84. Which one of the following forces is a
'dissipative force'?
Electrostatic force
Magnetic force
Gravitational force
Frictional force
85. If a resistive wire is elongated, its resistance
decreases
remains constant
increases
All of the above
86. If a magnet has a third pole, then the third
pole is called
defective pole
consequent pole
extra pole
arbitrary pole
87. How many spokes are there in the
Dharmachakra of the National Flag?
14 18
22 24
88. The latest official language of the U.N. is
Russian Arabic
Chinese Spanish
89. Srikrishna Committee Report which was
made public in 2011, is related to
rejuvenation of higher education
demand for a separate Telangana State
ragging in educational institutions
impeachment of Justice Dinakaran
90. The latest book "Kurukshetra to Kargil' is
written by
Suryanath Singh
Kunal Bhardwaj
Karan Singh
Kuldip Singh
91. The Educational Development Index
Report., released in 2011, is led by
Tamil Nadu Puducherry
Kerala
Lakshadweep
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8 SOLVED PAPER
92. Shunglu Committee, which submitted its
report in 2011, is related to
Commonwealth Games scandal
reforms in the Insurance sector
revamp of Defence management
management of Co-operative Sector
93. The 65th National Football Championship
(Santosh Trophy 2011) was won by
Bangal Punjab
Manipur Goa
94. The organisation involved primarily with
environmental planning is
CIFRI ICAR
CSIR NEERI
95. What would be the impact of global warming
on mangrove forests?
They will grow more luxurious
Large areas of mangroves will be
submerged
Their role as carbon sinks will become
more important
Both and above
96. The sweet taste of fruits is due to
Lactose Fructose
Maltose Ribose
97. The most endangered Asiatic top predator
on the edge of extinction is
Black Bear
Asiatic Lion Siberian Tiger
Dhole
98. Analects is the sacred book of
Confucianism
Judaism
Shintoism
Taoism
99. The seat of Madhya Pradesh High Court is
located at
Gwalior Indore
Bhopal Jabalpur
100. The brightest planet is
Venus Mercury
Jupiter
Mars
QUANTITATIVE APTITUDE
101. P and Q are two points observed from the
top of a building 10 3 m high. IF the angles
of depression of the points are
complementary and PQ 20 then the
distance of P from the building is
25 m
45 m
30 m
40 m
102. If A and are complementary angles, then the
value of
Sin A cos B cos A sin B tan A tan B sec2
A cot2 B is
2 0
0
103. The least value of 2sin2 q 2cos2 q is
3 5
1 2
104. are three points on a line segment and
C is a points not lying on AOB. IF ÐAOC
40o and OX, OY are the internal and external
bisectors of ÐAOC respectively, then
ÐBOY is
70o 80o
75o 68o
105. If 4x sec q and
4
x tan q then
2
2
1
8 x
x
æ ö ç ÷
è ø is

1
16
1
8

1
2

1
4
106. If 2 cos2 q 3 sin q cos q sin q ¹ cos q
then tan q is
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SOLVED PAPER 9

1
2
0

2
3
1
3
107. If sin q cos q 2 cos (90 q then cot q
is
2 0
2 2
108. If x sin2 q y cos3 q sin q cos q and x
sin q y cos q sin q ¹ q cos q then x2
y3 is

1
2
1
2
1 2
109. In the following figure, O is the centre of the
circle and XO is perpendicular to OY. If the
area of the triangle XOY is 32, then the area
of the circle is
64 256
16 32
110. The side BC of DABC is produced to D. If
DACD 108° and ÐB
1
2 ÐA then ÐA
is
36° 72°
108° 59°
111.Two circles of radii 4cm and 9 cm respectively
touch each a common tangent touches then
at the points P and Q respectively. Then the
area of a square with one side PQ, is
97 sq.cm 194 sq.cm
72 sq.cm 144 sq.cm
112. Two tangent are drawn from a point P to a
circle at A and B. O is the centre of the circle.
If ÐAOP then ÐAPB is
120° 90°
60° 30°
113. If each interior angle is double of each
exterior angle of a regular polygon with n
sides, then the value of n is
8 10
5 6
114. If the length of the side PQ of the rhombus
PQRS is 6cm and ÐPQR 120°, then the
length of QS, in cm, is
4 6
3 5
115. The angle formed by the hour-hand and the
minute-hand of a clock at 2 15 p.m. is

1
27
2
45°

1
22
2
30°
116.Two sides of a triangle are of length 4 cm and
10 cm. If the length of the third side is cm,
then
a 5 6£ a £ 12
a 6 6 a 14
117. If x y 2
1
(0.08) and z 0.08)2
then out of the following, the true
relation is
y x and x z
x y and x z
y x x z x y
118. In xy plane, P and Q are two points having
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10 SOLVED PAPER
co-ordinates and respectively.
Then the numerical value of the area of the
circle with radius PQ, is
16 p 32 p
14 p 25 p
119. If x4 4
1
x
23, then the value of
2 1
x
x
æ ö ç ÷
è ø
will be
7
3
120. The value of
+...upto is equal to
3 10
8 2
121. If x
1
x the value of
5
5
1
x
x
is
123 126
113 129
122. sec4 q sec2 q is equal to
tan2 q tan4 q
tan2 q tan4 q
cos4 q cos2 q cos2 cos4
123. In DABC AD is the median and AD
1
2
BC. IF ÐACD then measure of then
measure of is
90° 45°
30° 60°
124. If 6 ´ 15 x 10 then the value of x is
3 ± 3
3 6
125.
3 5 1
3
4 3 5



is equal to
0
3
2

5
2
5
126. If a b 1 then the value of (a3 b3 1
3ab) is
3 0
1
127. In the xy-coordinate system, if and
b are two points on the line defined
by the equation x 3y then k

7
3 1
9 3
128.The average age of 4 boys, five year age was 9
years. On including a new boy, the present
average age of all the five is 15 years. The
present age of the new boys is
14 years 6 years
15 years 19 years
129. If the average of 39, 48, 51, 63, 75, 83, x and
69 is 60, then the value of x is
52 53
50 51
130. The cost of a piece of diamond varies with
the square of its weight. A diamond of Rs.
5,185 value is cut into 3 pieces whose
weights are in the ratio 1 2 3. Find the loss
involved in the cutting.
Rs. 3,068 Rs. 3,008
Rs. 3,175 Rs. 3,168
131. A discount of 30% on the marked price of a
toy reduces its selling price by Rs. 30. What
is the new selling price (in
70 21
130 100
132. The capacities of two hemispherical vessels
are 6.4 litres and 21.6 litres. The ratio of their
inner radii is
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SOLVED PAPER 11
4 9 16 81
3 2 3
133.Pipe A alone can fill a tank in 8 hours. Pipe B
alone can fill it in 6 hours. If both the pipes
are opened and after 2 hours pipe A is closed,
then the other pipe will fill the tank in
6 hours
1
3
2
hours
4 hours
1
2
2
hours
134. If 5 and then the
value of
a3 b3 c3 3abc
a b c


is
17.5 20.5
10.5 15.5
135.The population of a town is 15000. If the
number of males increases by and that
of females by then the population
would increase to 16300. Find the number
of females in the town.
4000 6000
3000 5000
136. If Rs. 5,0000 becomes Rs. 5,700 in a year's
time, what will Rs. 7,000 become at the end
of 5 years at the same rate of simple interest?
Rs. 10,500 Rs. 11,900
Rs. 12,700 Rs. 7,700
137. A thief is noticed by a policeman from a
distance of 200 m. The thief starts running
and the policeman chases him. The thief and
the policeman run at the rate of 10 km and
11 km per hour respectively. The distance
(in metres) between then after 6 minutes is
190 200
100 150
138. sells an article to at a profit of 20%
and sells it to at a profit of 25%. If
pays Rs. 1,200, the cost price of the article
originally (in Rs.) is
700 600
1,000 800
139. The number nearest to 75070 which is
divisible by 65, is
75070 75075
75010
75065
140. The number 20% more than 80 in
36 30
90 96
141. A tree is broken by the wind. If the top of the
tree struck the ground at an angle of 30° and
at a distance of 30m from the root, then the
height of the tree is
25 3m
30 3m
15 3m
20 3m
142.If cos A cos2 A then sin2 A sin4 A is
equal to
1 1/2
0
143. A farmer divides his herd of n cows among
his four sons, so that the first son gets onehalf
the herd, the second one-fourth, the third
son and the fourth son 7 cows. Then the
value of n is
240 100
180 140
144.By what least number should 675 be
multiplied to obtain a number which is a
prefect cube?
7 8
5 6
145.The least number which when divided by 35,
45, 55 leaves the remainder 18, 28, 38
respectively is
3448 3482
2468 3265
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12 SOLVED PAPER
Directions (146 The graph shows Income
and Expenditure of a Company. Study the graph
and answer the questions.
146.The expenditure from 2002 to 2003 increased
by

1
33
3 40%
10% 20%
147.The income in 2002 was equal to the
expenditure in the year
2003 2004
2000 2001
148.The profit was maximum in the year
2003 2004
2001 2002
149. The difference in profit between 2001 and
2002 is
Rs. 25 lakhs
No difference
Rs. 10 lakhs
Rs. 20 lakhs
150. The number of years in which the income
exceeds the average income is
three four
one two
ENGLISH COMPREHENSION
Directions In the following questions,
some parts of the sentences have errors and some
have none. Find out which part of a sentence has
an error. If a sentence is free from error then your
answer is i.e. No error.
151. You do not look as your brother.
No error
152.My elder brother is six foot high.(3)/
No error
153.Without no proof of your guilt the only
course open to me is to dismiss the case.
No error
154. As we see it. she appears to be
unreasonable anxious about pleasing
her husband. No error
155. The scissor is lying on the table.
No error
Directions In the following questions,
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 as your answer.
156. The Union Budget is likely to be presented
on February 26, two days ahead of the
date.
critical conventional
suitable convenient
157. I am sorry the mistake.
from with
for at
158. He that she would pass.
insured ensured
assumed assured
159. Your father worry. a very careful
driver.
needn't none
can't doesn't
160. The chosen for construction of the
building is in the heart of the city.
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SOLVED PAPER 13
cite slight
sight site
Directions In the following questions,
out of the four alternatives. choose the one which
best expresses the meaning of the given word as
your answer.
161. Nexus
connection distance
deficit difference
162. Mammoth
straight huge
wild greedy
163. Hyperbole
expansion imitation
decoration exaggeration
164. Eulogy
apology address
speech praise
l65. Menacingly
dangerously threateningly
harmfully hideously
Directions In the following questions,
choose the word opposite in meaning to the
given word as your answer.
166. Impeccable
faulty tedious
flashy boring
167. Amalgamate
separate combine
assimilate integrate
16S. Zenith
climax crisis
acme nadir
169. Influx
reflex deflection
effluent exodus
170. Orderly
semitic colic
democratic chaotic
Directions In the following questions,
four alternatives are given for the idiom/ phrase
printed in bold in the sentence. Choose the
alternative which best expresses the meaning of
the idiom/phrase as your answer.
171. Ram is very calculative and always has an
axe to grind.
has no result
works for both sides
has a private agenda
fails to arouse interest
172. The police looked all over for him but drew
a blank.
did not find him
put him in prison
arrested him
took him to court
173. On the issue of marriage, Sarita put her foot
down.
stood up was firm
got down walked fast
174. His investments helped him make a killing
in the stock market.
lose money quickly
plan a murder quickly
murder someone quickly
make money quickly
175. There is no gainsaying the fact that the
country is in difficulties.
ignoring hiding
forgetting denying
Directions in the following questions,
a part of the sentence is printed in bold. Below
are given alternatives to the bold part at
and which may improve the sentence.
Choose the correct alternative. In case no
improvement is needed, your answer is
176. Sordid and sensational books tend to vitiate
'the public taste.
divide distract
distort No improvement
177.By studying AIDS has engaged many
researchers in the last decade.
Important study
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14 SOLVED PAPER
Now that the study
The study of
No improvement
178. His Master's thesis was highly estimated
and is now being prepared for publication.
was highly discussed
was highly commended
is highly appraised
No improvement
179. No sooner had she realized her blunder than
she began to take corrective measures.
then she began to take
than she began taking
when she began to take
No improvement
18O. A good scholar must be precise and possess
originality.
must be precise and original
must be possess precision and original
must be precision and possess
Originality
No improvement
Directions In the following questions,
out of the four alternatives, choose the one which
can be substituted for the given. words/
sentence.
18l. One who loves books
Bibliophile
Bibliophagist
Bibliophoebe
Bibliographer
182. Speaking without preparation
Deliberate Fluent
Loquacious Extempore
183. Special trial of the Head of State by
Parliament
Impingement Infringement
Impeachment Impediment
184. Someone able to use both hands with equal
skill
Ambivalent Amphibious
Ambiguous Ambidextrous
185. Cure for all diseases
Curable Panacea
Incurable Curative
Directions In the following questions,
there are four different words out of which one
is correctly spelt. Find the correctly spelt word.
186. pleintive sustein
villain alleince
187. comissioner
commissionar
commistoner
commissioner
188. aprentice advertise
treatrce sencitive
189. suprintendent
supirentendent
superintendent
superentendent
190. symetry syrnmttry
symatry symmetry
Direction In the following questions,
you have two brief passages with 5 questions
following each passage. Read the passages
carefully and choose the best answer to each
question out of the four (alternatives.
Passage I (191-195)
Two years later, in November 1895, he signed his
final will. He left the bulk of his fortune,
amounting to about £ 1,75,00 to a trust fund
administered by Swedish and Norwegian
trustees. The annual interest shall be awarded as
prizes to those persons who during the previous
year have rendered the greatest services to
mankind. The interest shall divided into five
equal parts now amounting to about £ 8,000
each one of which shall be awarded to the
person who has made the most important
discovery or invention in the- realm of physics,
one to the person who has made the most
important chemical discovery or improvement,
one to the person who has made the most
important physiological or medical discovery,
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SOLVED PAPER 15
one to the person who has produced the most
outstanding work of literature, idealistic in
character, and one to the person who has done
the best work for the brotherhood of nations, the
abolition or reduction of standing armies, as
well as for the formation or popularization of
peace congress.
191.The said prize is awarded
once in 5 years
every year
once in 4 years
once in 2 years
192.Which is the prize that is referred to in the
passage?
Nobel Prize
Magsaysay Award
Pulitzer Prize
Booker Prize
193. The number of prizes in the field of science
are
Four One
Three Five
194. Total annual prize money amounts to
£ 8,000 £ 1.750,000
£ 350,000 £ 40,000
195. Prize is awarded for outstanding work in
Chemistry
Literature
Physics
All the above
Passage II (196-200)
If an opinion contrary to your own makes you
angry, that is a sign that you are subconsciously
aware of having no good reason for thinking, as
you do. If someone maintains that two and two
are five that Iceland is on the Equator, you feel
pity rather than anger, unless you know so little
of arithmetic or geography that his opinion
shakes your own contrary conviction.
196. If someone else's opinion makes us angry, it
means that
we are subconsciously aware of having
no good reason for becoming angry
there may be good reasons for his
opinion but we are not consciously
aware of them
our own opinion is not based on good
reason and we know this
subconsciously
we are not consciously aware of any
reason for our own opinion
197. "Your own contrary conviction" refers to
the fact that you feel pity rather than
anger
The opinion that two and two are five
and that Ice-land is one the Equator
The opinion that two and two are five
and that Ice-land is on the Equator
The fact that you know so little about
arithmetic or geography
198. Conviction means
persuasion
disbelief
strong belief
ignorance
199. The writer says if someone maintains that
two and two are five you feel pity because
you
have sympathy
don't agree with him
want to help the
person
feel sorry for his ignorance
200. The second sentence in the passage
builds up the argument of the first
sentence by restarting it from the
opposite point of view
makes the main point which has only
been introduced by the first sentence
simply adds, a further point to the
agreement already stated in the first
sentence
illustrates the point made in the first
sentence
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16 SOLVED PAPER
ANSWERS
1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
11. 12. 13. 14. 15. 16. 17. 18. 19. 20.
21. 22. 23. 24. 25. 26.(1) 27. 28. 29.(1) 30.
31. 32. 33. 34. 35. 36.(4) 37. 38. 39. 40.
41. 42. 43. 44.(4) 45. 46. 47. 48.(2) 49.(4) 50.
51. 52. 53. 54. 55. 56. 57. 58. 59. 60.(1)
61. 62. 63. 64. 65. 66. 67. 68.(1) 69. 70.
71. 72. 73. 74. 75. 76. 77. 78. 79. BO.
81. 82. 83. 84. 85. 86. 87. 88.(2) 89. 90.
91. 92. 93. 94. 95. 96.(2) 97. 98. 99. 100.
101. 102. 103. 104. 105. 106. 107. 108. 109. 110.
111. 112. 113. 114.m 115. 116. 117. 118. 119. 120.(1)
121. 122. 123. 124. 125. 126. 127. 128. 129. 130.
131. 132. 133. 134. 135. 136. 137. 138. 139. 140.
141. 142.(1) 143. 144. 145. 146. 147. 148. 149. 150.
151. 152. 153. 154. 155. 156. 157. 158. 159. 160.
161. 162. 163. 164. 165. 166. 167. 168. 169. 170.
171. 172. 173. 174. 175. 176. 177. 178. 179. 180.
181. 182. 183. 184. 185. 186. 187. 188. 189. 190.
191. 192. 193. 194. 195. 196. 197. 198. 199. 200.
EXPLANATIONS
1. The relationship is x (2x
8 × 2 4 16 4 12
Similary, 6 × 2 4 12 4 8
2. 9 Þ19
Similarly, 1 Þ 41
3. Eagle swoops down on anything. The
movement of eagle is like swooping.
Similarly, the movement of duck is called
waddle.
4.
Similarly,
5. We pay rent for accommodiation. Similarly,
we pay fare for journey.
6. Fire causes smoke, smoke comes out when
something is burnt in fire. Similarly, cloud
causes rain.
7. Grenade and gun are fire arms. Similarly,
head and brain sensitive organs.
8.
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SOLVED PAPER 17
Similarly,
9.
Similarly,
10. S 3 P ¾¾- ¾®
N 2 L ¾¾- ¾®
Z 3 W ¾¾- ¾®
3 T Q ¾¾- ¾®
11. Major, Colonel and Brigandier are different
ranks in the Indian Army. Admiral is the
topmost rank in the Indian Navy.
12. Expect Life Insurance Corporation, all others
are insurance companies for general
insurance, i.e., vehicles, property etc.
13. Except disease, all other terms denote
obstruction, hindrance or interruption.
14. Except remedy, all other terms denote loss
of something.
15. Socrates was a Greek philosopher. Ludwing
Van Beethowen was a German Composer
and Musician. Bach was also a German
Composer. WA Mozard was a Austrain
Composer.
16. 112 is completely divisible by 4.

112
4
28

132
5 26.4;
125
8 15.625;

124
7
17.21
17. The difference between the two numbers in
the number pair 6246 6296 is least.
6296 6246 50
7267 7137 130
4684 4344 340
5465 5235 230
18.
19.
20.
21.
22.
23. a c d b a cb c d a b c db d a
24. 9 × 2 1 18 1 19
19 × 2 2 38 2 40
40 × 2 3 80 3 83
83 × 2 4 166 4 170
170 × 2 5 340 5 345
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18 SOLVED PAPER
Therefore, the number 340 is wrong in th
series.
25. 21 7 28
28 5 3
33 3 36
36 1 37
37 1 36
Therefore, the number 35 is wrong in the
series.
26. 5 8 =13
13 16 29
29 32 61
61 64 125
125 128 253
Therefore, the number 120 is wrong in the
series.
27. 0 7 7
7 21 28
28 35 63
63 61 124
124 87 211
Therefore, the number 215 is wrong in the
series.
28. aÑ bÑ c
Þ a b c
Option
a D b f c
Þ a b £ c or,
a b £ c
option
a f b c
Þ a £ b c
option
a 0 b cÞ a b c
option
a 0 b × c Þ a b ³ c
29. 2 × 3 × 5 × 4 120
120 × 120 14400
30. P E A R
¯ ¯ ¯ ¯
G F D N
Therefore,
R E A P
¯ ¯ ¯ ¯
N F D G
31. 5 4 1
4 3 1
1 1 2
6 2
7 2 5
4 5 9
32.
16P 24 M 8 Q 6 M 2 L 3
Þ 16 24 ÷ 8 6 ÷ 2 × 3
Þ 16 3 3 × 3
Þ 16 3 9 10
33. There is no letter in the given word.
34. F L A T T E R
¯ ¯ ¯ ¯ ¯ ¯ ¯
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SOLVED PAPER 19
7 2 3 8 8 5 9
M O T H E R
¯ ¯ ¯ ¯ ¯ ¯
4 6 8 1 5 9
Therefore,
M A M M O T H
¯ ¯ ¯ ¯ ¯ ¯ ¯
4 3 4 4 6 8 1
35. 16 Þ(2
9 Þ 0)2
Similarly, 64
Þ(4 4)2
36. The product of two numbers in a sector is
equal to the central number in the previous
sector.
3 × 5 15
8 × 3 24
7 × 2 14
5 × 3 15
8 × 4 32
9 × 1 9
7 × 4 28
37. First Column
10 12 4 10 36
36
2
18
18 (Lowermost number)
Second Column
11 12 15 5 40
40
2
20
Third Column
15 8 10 13 46
46
2
23
38.
A ÞEast, B Þ West,
C Þ West, D Þ East,
39.
Required distance AE
(AF (EF

16 9
25
5 km
40. Temple and Church are place of worship. It
does not imply that Hindus and Christians
use the same place for worship. Church is
difference temple. Therefore, neither
Conclusion I nor II follows.
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20 SOLVED PAPER
41. Growth and development of human
organism is a continuous process. Some
changes take place in human body now and
then. Therefore, neither and then. Therefore,
neither Conclusion I nor II follows.
42. H I P P NOW A D I AS M
P P I HNO W A D MS A I
43. QMPN PQR ROPQNOP PQR
MQRO PQR PPRR PQR P
44. Volume of sphere 4 3
3
pr
Volume of hemisphere 2 3
3
pr
Now,
4 3
3
pr 2 3
3
pr
or, r3
2 3
27 2
3 4
´ ´ ´
r 3cm
47.
S E A R C H T F B S D I
Similarly,
48.
49.
50. G Þ 58, 66, 77, 85, 98
U Þ 04, 12, 23, 31, 40
I Þ 00, 13, 21, 34, 42
D Þ 56, 69, 75, 87, 99
E Þ 01, 14, 20, 32, 43
101.
AB Building 10 3 metre
PQ 20 metre
BQ x metre
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SOLVED PAPER 21
If ÐAQB 90° q
From DABP
tan q
AB
BP

10 3
x 20

From DABQ
tan q
AB
BQ
Þcot q
10 3
x

By multiplying both equations,
tan q .cot q
10 3 10 3
x 20 x
´

Þx2 20x 10 × 10 × 3
Þx2 20x 300 0
Þx2 30x 10x 300
Þx(x 30) 10(x 30) 0
10) 30) 0
Þx 10
x ¹ -30
BP 10 20 30 metre
102. A B 90°
ÞA 90° B
ÞsinA sin cos B
Similarly,
Þcos A sin tan A cot B
sin cos B cos A. sin B tan A. tanB
sec2A cot2B
cos2B sin2B cotB. tanB sec2A tan2A
1 1 1 1
[QtanB. cotB
sec2A tan2A 11
103. 2 sin2 q 3 cos2 q 2 sin2 q 2cos2 q
cos2 q
2 (sin2 q cos2 q cos2 q
2 cos2 q
Least value 2 0 2
[Qcos2 q ³
104.
OY is the bisector of ÐAOC 2 ÐCOX .
ÐBOC 2 ÐCOY
ÐAOC ÐBOC
2ÐCOY 2ÐCOX 180°
Þ2(ÐCOX 2ÐYOC 180°
Þ ÐXOY 90°
ÐAOX ÐXOY ÐBOY 180°
180° 90° 20° 70°
105. 4x sec q
Þx
sec
4
q
Again,
4
x tan q
Þ
1
x
tan
4
q
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22 SOLVED PAPER

2
2
1
8 x
x
æ ö ç ÷
è ø

sec2 tan2
8
16 16
æ q q ö
çç ÷÷
è ø

8 2 2
(sec tan
16
q

1
2
106. 2 cos2 q 3 sin q .cos q
Dividing by cos2 q
2
2
1
cos

q 2
3sin .cos
cos
q q
q
Þ 2 sec2 q 1 3 tan q
Þ 2 1 tan2 q 1 3 tan q
Þ 2tan2 q 2 1 3 tan q
Þ 2tan2 q 3tan q 1 0
Þ 2tan2 q 2tan q tan q 1
0
Þ 2tan q (tan q 0
Þ tan q
1
2
or 1
107. sin q cos q
2 cos q
Þ sin q cos q 2 sin q
On squaring,
cos2 q sin2 q 2 cos q . sin q
2 sin2 q
Þ cos2 q sin2 q 2 cos q .sin q
On dividing by sin2 q
Þ cot2 q 2 cot q 0
cot q
2 4 4
2
±

2 2 2
2
±
2
or 2
108. xsin3 q y cos3 q sin q .cos q
Þ sin q . sin2 q cos q
cos2 q sin q .cos q
Þ xsin q . sin2 q x sin q . cos2 q
sin q .cos q
Þ x sin q (sin2 q cos2 q
sin q .cos q
Þ x cos q
sin q .cos q
Þ cos q . sin q y cos q
Þ y sin q
x2 y2 cos2 q sin2 q 1
109. ÐXOY 90° OX OY radius
DXOY is a right angled triangle.

1
2
× × 32
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SOLVED PAPER 23
Þ r2 2 × 32 64
r 64 8
Area of circle pr 2
110.
ÐACD ÐABC ÐBAC
Þ 108°
2
A
A


Þ
3
2
ÐA
180°
Þ ÐA
108 2
3
´
72°
111.
r1 r2 13 cm
r2 r1 9 4 5 cm
PQ

2
2
2 1
distance between
centre
r r
æ ö
ç ÷
è ø
(132 52 12cm
Area of square 12 × 12 144 sq.cm
112.
In right Ds OAP and OPB.
AP PB, OA OB
OP OP
DOAP DOPB
ÐAOP ÐPQB and ÐAPO
ÐOPB
From DAOP
DAPO 180° 90° 60° 30°
DAPB 2 × 30 60°
113.
(2n 90
n
´

300
2
n

´
Þ (2n × 90° 2 × 360°
Þ 2n 4 8 2n 12
Þ n 6
114. ÐPQO
1
2
PQR 60°
From DPOQ
ÐOPQ 180° 90° 60° × 30°
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24 SOLVED PAPER
sin OPQ
OQ
PQ
Þ OQ PQ sin 30°
Þ 6 ×
1
2
3
QS 2 × 3 6 cm
115. Angle traced by hour hand in an hour 30°
Angle traced in
1
2
4
i.e.,
9
4
hours

9
4
×30°
135
2

Angle traced by minute hand in 60 minutes
360°
Angle traced in 15 minutes
360
15
60
´
90°
Required angle 90°
135
2


45 1
22
2 2

116. The sum of any two sides of a triangles is
greater than third side and their differene is
less than third side.
a 4 10Þ a 10 4
a 6
Again, a 4 10 Þ a 14
6 a 14
117. x
y 2
1
(0.08)
10000
64 156.25
z 0.08)2- 1
1 (0.08)2 2 × 0.08
(0.08)2 2 2 × 0.08
Clearly, z x y
118.
PQ 2)2 0)2
9 +16 5
Area of circle pr 2
25 p sq. units
119.
4
4
1
x
x
23
Þ
2
2
2
1
x
x
æ ö ç ÷
è ø
2 23
Þ
2
2
2
1
x
x
æ ö ç ÷
è ø
23 2 25
2
2
1
x
x
5
2
1
x
x
æ ö ç ÷
è ø

2
2
1
x
x
2
5 2 3
120. x 6 6 6 ........¥
On squaring,
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SOLVED PAPER 25
x2 6 6 6 ......¥
Þ x2 6 x
Þ x2 3x 2x 6 0
Þ x(x 2(x 0
Þ 0
Þ x 3 because x ¹
121.
1
x
x
3
On squaring,
2 1
x
x
æ ö ç ÷
è ø
9
Þ 2
2
1
x
x
9 2 7
Again,
3 1
x
x
æ ö ç ÷
è ø
27
Þ x3 3
1 1
3 x
x x
æ ö ç ÷
è ø 27
Þ x3 3
1
x
27 3 × 3 18

2 3
2 3
1 1
x x
x x
æ ö æ ö ç ÷ç ÷
è øè ø
7 × 18
Þ 5
5
1 1
x x
x x
æ ö ç ÷
è ø 126
Þ 5
5
1
x
x
126 3 123
122. sec4 q sec2 q
sec2 q (sec2 q
tan2 q tan2 q
tan2 q tan2 q
123.
BD DC AD
ÐBAD 30°
From DABD
DBAD 30°
DABD DBAD 30°
DADB 180° 2 × 30° 120°
DADC 180° 120° 60°
AD DC
Þ ÐDAC ÐACD 60°
124. 6 ´ 15 x 10
Þ 2 ´ 3 ´ 3 ´ 5 x 10
Þ 2 ´ 5 ´ 3 x 10
Þ 3 10 x 10
Þ x 3
125.
1
3 5
3 5




3 5 3 5
9 5 4



3 5 3 5
3
4 4


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26 SOLVED PAPER

12 3 5 3 5
4


6 3
4 2

126. If a b c 9
then a3 b3 c3 3abc 0
127. Points and will satisfy
the equation
x 3y 7 0
a 3y 7 0
and a 3b 7 0
Þ a 3 3b 3 k 7 0
Þ a 3b 7 3 3 k 0
Þ 3 3k 0
Þ 3k 3
Þ k
3
3 1 [Qa 3 b 7
128. Sum of the present ages of four boys
9 × 4 20 56 years
Sum of the present ages of five boys
15 × 5 75 years
Present age of new boys
75 56 19 years
129. 39 48 51 63 75 83 x 69 60 × 8
Þ 428 x 480
Þ x 480 428 52
130. If the weight of a piece of diamond be 6 x
units, then Original price a(6x)2 36k2
36kx2 5184
Again,
New price k (x2 4x2 9x2)
14kx2

14 5184
36
´
Rs. 2016
Loss 5184 2016
Rs. 3168
131. Q30% Rs. 30
100% Rs. 100
New S.P 100 30
Rs. 70
132.
3
1
3
2
2
32
3
r
r
p
p
6.4
21.6
Þ
3
1
3
2
r
r

64
216
3 4
6
æ ö
ç ÷
è ø

3 2
3
æ ö
ç ÷
è ø
Þ
1
2
2
3
r
r

133. Part of the tank filled by both pipes in two
hours
2
1 1
8 6
æ ö ç ÷
è ø
2
3 4
24
æ ö
ç ÷
è ø
7
12
Remaining part 1
7
12

5
12
Time taken by B in filling the remaining part

5
12
× 6
5
2

1
2
2
hours
134. a3 b3 c3 3abc
b
(a2 b2 c2 ab bc ac)
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SOLVED PAPER 27

1
2
b (2a2 2b2 2c2 2ab 2bc
2ac)

1
2
b b)2

a3 b3 c3 3abc
a b c


1 2 2 2

2
éë a b b c c a ùû

1
2
25

35
2
17.5
135. If the number of femalses be then, number
of males 15000 x
x ×
10
100 (15000 ×
8
100
16300 15000
Þ 10x 120000 8c
1300 × 100
Þ 2x 130000 120000
10000
Þ x 5000
136. Interest 57000 5000
Rs. 700
Rate
700 100
5000 1
´
´ 14%
Case II,
Interest

Principal × Time × Rate
100

7000 5 14
100
´ ´
Rs. 4900
Amount 7000 4900
Rs. 11900
137. Relative profit percent

20 25
20 25
100
æ ´ ö ç ÷
è ø
50%
Original cost price

100
1200
150
´ Rs. 800
139. 65)175070)1154
65
100
65
357
325
320
260
60
Required number
75070 (65 60) 75075
140. Required number

50 120
100
´
96
141.AB tree
BC broken part
BC CD
AD 30 metre
From DACD
tan30°
AC
AD
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28 SOLVED PAPER
Þ AC AD ×
1
3

30
3 10 3 metre
CD AC sin 30°
10 3 ×
1
2
5 3 15 3metre
142. Cos A 1 cos2A sin2 A
sin2A sin4A sin2A cos2A 1
143. According to the question,
7
2 4 5
n n n 7
Þ
10 5 4 7
20
n n n
n
Þ
19
7
20
n n
Þ n
19
20
n
7
Þ 20
n
7
Þ n 20 × 7 =140
144. 675 5 × 5 × 3 × 3
32 × 52
Required number
3465 17 3448
146. Required percentage increase

40 30
100
30

´
100
3

1
33
3
147. Income of company in 2002
Rs. 40 lakhs
Expdnditure of company in
2003 Rs. 40 lakhs
148. Profit of company in 2004
Rs. 25 lakhs
149. Required difference
20 10 Rs. 10 lakhs
150. Average income of company

30 50 40 60 60
5


240
5 Rs. 48 lakhs
The incomes of company in years 2001,
2003, and 2004 were greater than Rs. 48
lakhs.
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