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1. Three equal charges are placed on three corners of a square. If the force
between
and
is
and that between
and
is
, the ratio of
magnitude
/
is
a)
b) 2
c)
d)
2. Two metal spheres of radii
and
are charged to the equal potential.
The ratio of the charge on the two spheres is
a)
b)
c)
d)
3. The fraction of the energy drawn from the charging battery is stored in a
capacitor is
a) 100%
b) 75%
c) 50%
d) 25%
4. In a parallel plate capacitor of capacitance , a metal sheet is inserted
between the plates, parallel to them. The thickness of the sheet is half of
the separation between the plates. The capacitance becomes
a)
b)
c)
d)
5. If a charged spherical conductor of radius has potential at a point
distant from its centre, then the potential at a point from the
centre will be
a)
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b)
c)
d)
6. In an experiment, a graph was plotted of the potential difference between
the terminals of a cell against circuit current , by varying load rheostat.
Internal conductance of the cell is given by
a)
b)
c)
d)
7. A uniform wire of resistance and length is cut into four equal parts,
each of length , which are then connected in parallel. The effective
resistance of the combination is
a)
b)
c)
d)
8. In India for domestic use electricity is supplied at , in USA it is
supplied at . If resistance of bulb for use in India is , that of
bulb for USA will be
a)
b)
c)
d)
9. A current passing through a circular coil of two turns produces a magnetic
field at its centre. The coil is then rewound so as to have four turns and
the same current is passed through it. The magnetic field at its centre now is
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a)
b)
c)
d)
10. A short magnetic needle is pivoted in a uniform magnetic field of strength
. When another magnetic field of strength
is applied to the needle
in a perpendicular direction, the needle deflects through an angle , where is
a)
b)
c)
d)
11. To send of main current through a moving coil galvanometer of
resistance the shunt required is
a)
b)
c)
d)
12. Two circular coils and subtend same solid angle at point lying on the
axis of the coils. Smaller coil is midway between and . Both coils have
same current in same sense. Then magnetic field
and magnetic field
of
have a ratio as
a)
b)
c)
d)
13. Two straight infinitely long and thin parallel wires are spaced apart
and carry a current of each. Find the magnetic field at a point distant
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from both wires when the currents are in the same direction.
a)
b)
c)
d)
14. A coil of wire turns of certain radius has a self inductance of .
The self inductance of a second similar coil of turns will be
a)
b)
c)
d)
15. Reactance of a capacitor of capacitance for A.C. of frequency
is . The value of is
a)
b)
c)
d)
16. A train is moving towards north with a speed of . If the
vertical component of the earth’s magnetic field is
, the
induced in the axle long is
a)
b)
c)
d)
17. In an A.C circuit, and are given by,
, and
. Then the power dissipated in the circuit is
a)
b)
c)
d)
18. The focal lengths of objective and eyepiece of an astronomical telescope
are and respectively. If the final image is formed at a distance
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of from the eyepiece, the magnifying power of telescope will be
a)
b)
c)
d)
19. is the polarising angle for two optical media, whose critical angles
and
. Then the correct relation is
a)
b)
c)
d)
20. Length of a Galilean telescope in normal adjustment, in terms of the focal
lengths of the objective
and that of the eyepiece
is
a)
b)
c)
d) None of these
21. Light is incident on a glass plate at an angle of
. The reflected and
refracted rays are mutually perpendicular to each other. The refractive
index of the plate is
a)
b)
c)
d)
22. In an equilateral prism , a light ray suffers minimum deviation. Two
identical shape and material prisms and are added to as shown in
figure. Then the light ray will suffer
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a) total internal reflection
b) no deviation
c) same deviation
d) greater deviation
23. The diameter of the sun is
and it is
distance from the
earth. The diameter of its image formed by focal length convex lens is
a)
b)
c)
d) Zero (point image)
24. The refractive index of a thin planoconvex lens is and its radius of
curvature is . It behaves as concave mirror when its plane surface is
silvered. Then its focal length is
a)
b)
c)
d)
25. A beam of particles passes undeflected through crossed electric and
magnetic fields with
and . The speed of
particles is
a)
b)
c)
d)
26. After an interval on one day 1/6
th
of the initial amount of a radioactive
material remains in a sample. Then its half-life is
a)
b)
c)
d)
27. Photoelectrons are emitted from a surface with a speed of
when a light of frequency
is incident on it, then the threshold
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frequency for the surface is
a)
b)
c)
d)
28. A pure semiconductor has
free electrons and is doped with
pentavalent impurity atoms of density
. The free electron density
will increase by order of magnitude
a)
b)
c)
d)
29. In a common base configuration,
. The value of
base current is
a)
b)
c)
d)
30. To get an output 1 from the circuit given below, the input must be
a)
b)
c)
d)
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31. What would be the heat released when an aqueous solution containing
0.6 mole of HNO
3
is mixed with 0.4 mol of OH
−
(Enthalpy of neutralization = - 57.1 kJ) ?
a) 28.5 kJ
b) 17.13 kJ
c) 22.84 kJ
d) 1.7 kJ
32. The molecule like Iodine heptafluoride is pentagonal bipyramidal in
shape. What is the type of hybridisation shown in these molecules?
a) sp
3
d
2
b) dsp
2
c) dsp
3
d) sp
3
d
3
33. The correct statement among the following is
a) N
2
has higher bond order than N
2
+
and hence has larger
bond length compared to N
2
+
b) N
2
+
has higher bond order than N
2
and hence has larger
bond length compared to N
2
c) N
2
has higher bond order than N
2
+
and hence has larger
dissociation energy compared to N
2
+
d) N
2
has lower bond order than N
2
+
and hence has larger
dissociation energy compared to N
2
+
34. What happens when dilute hydrochloric acid is added to iron fillings?
a) Hydrogen gas and Aluminum chloride are produced.
b) Chlorine gas and Aluminum hydroxide are produced.
c) No reaction takes place.
d) Aluminum salt and water are produced.
35. The number of sp
3
– hybrid carbons in 2-butyne is
a) 1
b) 2
c) 3
d) 4
36. A quantity of HI was sealed in a tube, heated to 425
o
C and held
at this temperature until equilibrium was reached. The
CHEMISTRY
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concentration of HI in the tube at equilibrium was found to be
0.0706 mol/L. Calculate the equilibrium concentration of H
2
(and I
2
).
For the gas-phase reaction,
H
2
+ I
2
↔2HI Kc = 54.6 at 425
o
C
a) 9.55 * 10
-3
M
b) 1.17 * 10
-3
M
c) 1.85 * 10
-3
M
d) 4.78 * 10
-3
M
37. Select the best name for:
a) 5-ethyl-trans-5-octene
b) 4-ethyl-trans-3-octene
c) 4-ethyl-cis-3-octene
d) 5-ethyl-cis-5-octene
38. How many alcohols are structural isomers with the formula: C
5
H
11
OH?
The correct answer is
a) 6
b) 7
c) 5
d) 8
39. Which of the following will undergo an addition reaction with chlorine?
a) CH
3
CH
2
CH
2
CH
3
b) CH
3
CH
2
CH=CHCH
3
c) C
6
H
6
d) CH
3
CH
2
COOH
40. Which of the following sets is of coinage metals?
a) Cu, Ag, Au
b) Zn, Cd, Hg
c) Au, Ag, Zn
d) Li, Na, K
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41. The Hall-Heroult process is used in the production of:
a) Mg
b) Fe
c) Al
d) Au
42. 7.5 g of a gas occupies a volume of 5.6 litres at NTP. The gas is
a) CO
2
b) CH
4
c) NO
d) SO
2
43. Three 1.0 liter flasks are filled with H2, O2 and Ne, respectively, at STP.
Which of the following statements is true?
a) Each flask has the same number of gas molecules.
b) The velocity of the gas molecules is the same in each flask.
c) The density of each gas is the same.
d) There are twice as many O2 and H2 molecules as Ne atoms
44. The enthalpy change involved in the oxidation of glucose is
−2880 kJmol
−1
. 25% of this energy is available for muscular work.
If 80 kJ of muscular work is needed to walk one km, what is the
maximum distance that a person will walk after eating 120g glucose?
a) 3 km
b) 6 km
c) 5 km
d) 8 km
45. Identify the INCORRECT statement.
a) Helium in a balloon: an element
b) Paint: a mixture
c) Tap water: a compound
d) Mercury in a barometer; an element
46. An organic compound containing C and H has 92.3 % of carbon.
Its empirical formula is
a) CH
b) CH
2
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c) CH
3
d) CH
4
47. For water (m.p. 0
o
C, b.p. 100
o
C)
Heat of fusion = 333 J/g @ 0
o
C
Heat of vaporization = 2260 J/g @ 100
o
C
Specific Heat (solid) = 2.09 J/g
o
C
Specific Heat (liquid) = 4.18 J/g
o
C
Specific Heat (gas) = 2.03 J/g
o
C
Calculate the amount of heat (in kJ) that must be absorbed to convert
108 g of ice at 0
o
C to water at 70
o
C.
a) 77
b) 68
c) 64
d) 57
48. The geometry of H
2
S and its dipole moment are
a) Linear and zero
b) Angular and zero
c) Linear and non-zero
d) Angular and non-zero
49. Which one of the following salts is insoluble?
a) Ca(NO
3
)
2
b) BaCO
3
c) Na
2
S
d) Zn(CH
3
COO)
2
50. Which statement is incorrect?
a) The thermodynamic symbol for entropy is S.
b) Gibbs free energy is a state function.
c) For an endothermic process, ∆H is negative.
d) If the work done by the system is greater than the heat absorbed
by the system, ∆E is negative
51. How many faradays are required to reduce 1.00 g of aluminum (III) to
the aluminum metals?
a) 1.00
b) 1.50
c) 3.00
d) 0.111
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52. The dihedral angle in the staggered conformation of C
2
H
6
is
a) 120
o
b) 60
o
c) 0
o
d) 90
o
53. What is the electron configuration of Mn
3+
ion?
a) [Ar] 4s
2
3d
10
b) [Ar] 4s
2
3d
2
c) [Ar] 3d
5
d) [Ar] 3d
4
54. Strong field ligands such as CN
-
a) usually produce high spin complexes and small crystal field splitting.
b) usually produce low spin complexes and small crystal field splitting.
c) usually produce low spin complexes and high crystal field splitting.
d) usually produce high spin complexes and high crystal field splitting.
55. Which of the following is not an actinide?
a) Curium
b) Californium
c) Uranium
d) Terbium
56. Which of the following is an ionic hydride?
a) KH
b) H
2
S
c) HI
d) PH
3
57. Chlorobenzene can be obtained from benzene diazonium chloride by
a) Gattermann’s reaction
b) Friedel Crafts reaction
c) Wurtz reaction
d) Fittig reaction
58. What is the name of total four carbon atoms and one aldehyde group
containing carbohydrate?
a) Aldotetrose
b) Aldopentose
c) Ketotetrose
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d) Ketopentose
59. Which of the following drugs consists of a mixture of ethynylestradiol
are Norethindrone?
a) Antiseptic
b) Antacid
c) Antifertility
d) Antibiotics
60) The reagent used for converting ethanol to acetic acid is
a) Pyridinium chlorochromate (PCC)
b) Chromic anhydride
c) Acidified potassium permanganate
d) Sulphuric Acid
61. If
then
a)
b)
c)
d)
62. A is a set having 6 distinct elements. The number of distinct functions
from A to A which are not bijections is…
a)
b)
c)
d)
63. Let f : R → R be defined by
Then
is
a) 8
b) 10
c) 9
d) 25
64. If
, then
is..
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a)
b)
c)
d)
65. The value of the expression
is..
a)
b)
c)
d)
66. If the side of a cube is increased by 5%, then the surface area of a
cube is increased by
a) 10%
b) 20%
c) 5%
d) 15%
67. If A and B are two events of a sample space S such that P(A) =0.2,
P(B) =0.6 and P(A/B)=0.5 then
=..?
a) 3/10
b) 2/3
c) 1/3
d) 1/2
68. A man speaks truth 2 out of 3 times. He picks one of the natural numbers in
the set S = {1, 2, 3, 4, 5, 6, 7} and reports that it is even.
The probability that it is actually even is
a) 2/5
b) 1/5
c) 3/5
d) 8/5
69. If U is the universal set with 100 elements; A and B are two sets such
that n(A) = 50, n(B) = 60, n(AB) = 20 then n(A’B’) =?
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a) 60
b) 50
c) 20
d) 10
70.
a) 4
b) 1
c) 3
d) 2
71. Foot of the perpendicular drawn from the point (1,3,4) to the
plane 2x-y+z+3=0 is
a) (0,-4,-7)
b) (-1,4,3)
c) (-3,5,2)
d) (1,2,-3)
72. The curve passing through the point (1, 2) given that the slope of the
tangent at any point (x,y) is 2x/y represents
a) Hyperbola
b) Ellipse
c) Circle
d) Parabola
73. The point (1,-3,4) lies in the octant
a) Eighth
b) Second
c) Fourth
d) Third
74. The value of
is
a) 0
b) 1
c) Does not exist
d) -1
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75. If A = {a,b,c}, then the number of binary operations on A is
a) 3
9
b) 3
6
c) 3
3
d) 3
76. If A and B are square matrices of same order and B is a skew symmetric
matrix, then A’BA is
a) Symmetric matrix
b) Skew symmetric matrix
c) Diagonal matrix
d) Null matrix
77. If
, then dy/dx is
a)
b)
c)
d)
78. If
then
is
a)
b)
c)
d)
79. The value of
a)
b)
c) 1
d)
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80. The value of
is
a)
b)
c)
d)
81. The eccentricity of the ellipse
a) 4/5
b) 3/5
c) 3/4
d) 9/16
82. The negation of the statement ''All continuous functions are differentiable.''
a) All continuous functions are not differentiable
b) Some continuous functions are differentiable.
c) All differentiable functions are continuous.
d) Some continuous functions are not differentiable.
83. Mean and standard deviation of 100 items are 50 and 4 respectively.
The sum of all squares of the items is
a) 251600
b) 256100
c) 266000
d) 261600
84. Two letters are chosen from the letters of the word 'EQUATIONS'.
The probability that one is vowel and the other is consonant is
a) 8/9
b) 4/9
c) 3/9
d) 5/9
85. If
is equal to
a) 4
b) 2
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c) 6
d) 3
86. The degree of the differential equation of which
is
a) 0
b) 1
c) 2
d) 3
87. XY plane divides the line joining the points A (2,3,-5) and B(-1,-2,-3)
in the ratio.
a) 2:1 internally
b) 3:2 externally
c) 5:3 internally
d) 5:3 externally
88. The value of
is
a) 4.999
b) 4.899
c) 5.001
d) 4.897
89. A unit vector perpendicular to the plane containing the vectors
and
is
a)
b)
c)
d)
90.
a)
b)
c)
d) 3
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Choose the appropriate answer to fill in the blank in the given sentence.
91. I was watching the movie when the lights ______ off .
a) go
b) goes
c) were going
d) went
92. I was having a conversation when the phone _______.
a. rings
b. rang
c. is ringing
d. has rung
93. I will be waiting at the airport when the plane ______ .
a. was landing
b. land
c. lands
d. landed
Select the correctly spelt words in the following two questions.
94.
a) Goverment
b) Govermentt
c) Government
d) Governmentt
95.
a) Dependency
b) Dependancey
c) Dependancy
d) Dependancey
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Fill in the blank spaces with the appropriate word:-
96. He ____ here last week
a) comes
b) come
c) came
d) coming
97. When he _____ there, she was sleeping.
a) reached
b) reach
c) will reach
d) reaching
98. ________ welcome to come over and study with me.
a) You
b) Your
c) You’re
d) You’ll
99. I’m not sure how _______ solve this math problem.
a) to
b) through
c) two
d) too
100. I am not sure if I have _______ money left in my bank account.
a) enough
b) to much
c) to
d) too
101. I ________ the store today, but I changed my mind.
a) am going to
b) was going to
c) was going
d) am going
102. I need to buy a new ____ for my car.
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a) Tyre
b) Tires
c) Tyres
d) Tier
103. We will be leaving for our vacation ____ two days.
a) on
b) at
c) in
d) with
104. I will finish my degree ______ two years.
a) in
b) on
c) by
d) of
105. We are going to be late _______ the meeting if we don't leave now.
a) for
b) to
c) at
d) in
106. I need to buy ____ new laptop for my studies.
a) a
b) an
c) the
d) no article
107. She is _______ honest person.
a) a
b) an
c) the
d) no article
108. ____ former colleague of mine just called to say hello.
a) a
b) an
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c) the
d) no article
109. I watched _____ television show last night.
a) an
b) a
c) those
d) no article
110. He has a ________ determination to finish his assignment.
a) merciful
b) intermittent
c) persistent
d) lenient
111. She stood ___foot in the sand, feeling the grains between her toes.
a) bear
b) bare
c) bair
d) bier
Choose the word which is most nearly the same in meaning as the word
given -
112. Abundance:
a) plenty
b) scarcity
c) dearth
d) excess
113. diligent:
a) inattentive
b) lazy
c) careless
d) hardworking
114. Gigantic:
a) Huge
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b) Tiny
c) Little
d) Small
Choose from the options, the appropriate meanings for the italicised
phrases.
115. Do not put all your eggs in one basket.
a) take risks
b) be cautious
c) be reckless
d) take no risks
116. Do not judge a book by its cover.
a) form an opinion based on appearance
b) form an opinion based on content
c) form an opinion based on reputation
d) form an opinion based on hearsay
Select the appropriate plural forms for the following nouns.
117. Shelf
a) Shelves
b) Shelfs
c) Shelvs
d) Shelv’s
118. Box-
a) Boxs
b) Boxeses
c) Boxes
d) Box’s
Select the correct question tag for the following sentence.
119. The store is closed on Sunday, ________?
a) is it?
b) isn’t it?
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c) doesn’t it?
d) does it?
120. The cat is sleeping on the couch, __________?
a. is it?
b. aren’t they?
c. doesn’t it?
d. isn’t it?
LOGICAL REASONING
Direction
(Q.No. 01 to 04) There are some details given to you in the best way. Choose the best answers.
121. Find out which of the figures (1), (2), (3) and (4) can be formed from the pieces given in figure (X).
A.
1
B. 2
C. 3 D. 4
122. Find out which of the figures (1), (2), (3) and (4) can be formed from the pieces given in figure (X).
A. 1 B. 2
C. 3 D. 4
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123. Which of the following figures (a), (b), (c) and (d), when folded along the lines, will produce the
given figure (X)?
A. 1 B. 2
C. 3 D. 4
124. Find out which of the figure (a), (b), (c), (d) can be formed from the pieces given in fig. (X).
A. 1 B. 2
C. 3 D. 4
Direction
(Q. No 05 to 08) There are some details given to you in the best way. Choose the best answers. Find the
missing number
125.
441 : 462 :: 841 : ?
A. 800 B. 830
C. 870 D. 890
126. 42 : 56 : : 110 : ?
A. 18 B. 126
C. 132 D. 140
127.
25: 36 :: 49 : _
A. 61 B. 63
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C. 65 D. 60
128. 3 : 9 : : 4 : .....
A. 12 B. 16
C. 18 D. 24
Direction
(Q. No 09 to 11) There are some details given to you in the best way. Choose the best answers.
129. Statement: I know nothing except the fact of my ignorance.
Conclusions:
I. Writer's knowledge is very poor.
II. The world of knowledge is too-vast to be explored by a single person.
A. conclusion I follows. B. conclusion II follows.
C. I or II follows. D. I nor II follows.
130. Statements: National Aluminum Company has moved India from a position of shortage to self-
sufficiency in the metal.
Conclusions:
Previously, India had to import aluminum.
With this speed, it can soon become a foreign exchange earner.
A. Either I or II follows B. Only conclusion II follows
C. Both I and II follow D. Neither I nor II follows
131. Statements: Some fruits are trees. Some fruits are flowers. All the flowers are poets.
Conclusions:
Some flowers are trees
Some poets are fruits
All the fruits are poets
Some poets are trees
A. Only I and II follows B. Only II follows
C. Only I and III follows D. Only II and IV follows
Direction
(Q. No 12 to 16) There are some details given to you in the best way. Choose the best answers.
132.
Choose the word which is least like the others word in a group?
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A. Calendar B. Date
C. Day D. Month
133. Find the odd one out
A. crusade B. campaign
C. expedition D. Cruise
134. In the following questions, a set of similar terms is given in which one of the term is odd and does
not fit in the given set. You have to choose the term which does NOT fit in the set.
A. 1089 B. 729
C. 644 D. 529
135. Choose the number which is different from others in the group.
A. 17 B. 27
C. 29 D. 37
16. Choose the word which is different from the rest.
A. Cap B. Turban
C. Helmet D. Veil
Direction
(Q. No 17 to 19) There are some details given to you in the best way. Choose the best answers.
Statement & Assumption.
137. Statement:
Food poisoning due to the consumption of liquor is very common in rural areas
Assumption I:
There are more illegal and unauthorised shops selling liquor in villages and rural areas
Assumption II:
The ratio of people drinking liquor in villages is much more than that in towns
A. Both Assumption I and II follow
B. Neither Assumption I nor Assumption II follows
C. Only Assumption I follows
D. Assumption II follows but Assumption I does not follow
138. Statement:
Divya was advised by the Doctor that she should not take part in the dance competition
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Assumption I:
The Doctor did not want Divya to take part in the competition because he was afraid that
she might lose
Assumption II:
Divya had major surgery because of her injury
Assumption III:
Divya did not have the money to go for the auditions
A. Only Assumption I follows
B. Assumption II follows but Assumption I and III do not follow
C. All Assumption I, II & III follow
D. None of the three assumptions follow
139. Statement:
In an election conducted in Village X, only 20% of the total number of women in the
village came to vote.
Assumption I:
The number of men in the village is more than the number of women in the village X
Assumption II:
Women had to cook food and could not come to vote
A. Only Assumption I follows
B. Only Assumption II follows
C. Neither Assumption I nor Assumption II follows
D. Either Assumption I or Assumption II follows
Direction
(Q. No 20 to 23) There are some details given to you in the best way. Choose the best answers.
Critical Reasoning.
140.
Many business offices are located in buildings having 2-8 floors. If a building has more than 3 floors,
it has a lift. If the above statements are true, which of the following must be true?
A. 2nd floors do not have lifts
B. 7th floors have lifts
C. Only floors above the 3rd floors have lifts
D. All floors may be reached by lifts
141.
Some men are definitely intelligent, others are definitely not intelligent, but of intermediate men, we
should say, 'intelligent'? Yes, I think, so or no, I shouldn't be inclined to call him intelligent."
Which of the following reflects the intention of the writer well?
SET-
Jain University
Space for rough work
29
A. To call men intelligent who are not strikingly so must be to use the concept with undue imprecision
B. Every empirical concept has a degree of vagueness
C. Calling someone intelligent or not depends upon one's whim
D. There is no need to be as indecisive as the writer of the above.
142.
Unless you dedicate your whole life to it, you will never learn to speak the language of another
country to perfection; you will never know its people and its literature with complete intimacy. Which of
the following is likely to undermine the above argument?
A. I can speak 10 foreign languages already
B. I do not travel to foreign countries.
C. I am happy with the languages I know and do not need to learn any other language.
D. I should spend time to understand my own people and literature first, only then can I appreciate other
languages and cultures.
143.
Which of the following will strengthen the following statement? “The farmers will again grow cotton
next year due to the increased price of cotton yarn.”
A. Govt. plans to increase subsidy on cash crops including cotton.
B. There is a high alert in entire Europe due to terrorist threats.
C. Alternative cash crops are evergreen and unaffected by an economic slowdown.
D. Govt. is planning to import more cotton from abroad.
Direction
(Q. No 24 to 26) There are some details given to you in the best way. Choose the best answers.
144.
Thermometer: Temperature: Barometer?
A. Stress B. Pressure
C. Force D. Strain
145.
Judge: Court: Doctor?
A. Tehsil B. Factory
C. Municipality D. Hospital
146.
Choose the odd one
A. Orissa B. Gujrat
Jain Entrance Test – 2020
Space for rough work
30
C. Madhya Pradesh D. Maharashtra
Direction
(Q. No 27 to 28) There are some details given to you in the best way. Choose the best answers.
147.
In a group of 6 students P, Q, R, S, T and U each one having different height. P is taller than T but
not as tall as U. Q and U are not the tallest and also R is the shortest. Who is the tallest among them?
A. S B. Q
C. U D. P
148.
A woman walking with a boy meets another woman and on being asked about her relationship with
the boy, she says, “My maternal uncle and his maternal uncle’s maternal uncle are brothers.” How is the
boy related to the woman?
A. Grandson B. Son or Nephew
C. Nephew D. Son
Direction
(Q. No 29 to 30) There are some details given to you in the best way. Choose the best answers.
149.
Find the number of triangles in the given figure.
A. 8 B. 10
C. 12 D. 14
150.
Find the number of parallelograms in the below figure.
A. 16 B. 20
C. 19 D. 18
