Railway Recruitment Board Allahabad ESM Grade-III Examination Held on 13-09-2009
1. Who was the President of the Constituent Assembly?
(a) Pt Jawaharalal Nehru
(b) Dr Rajendra Prasad
(c) Dr B R Ambedkar
(d) C Rajgopalachari
2. The Constitution describes India as a
(a) Federation of States
(b) Union of States
(c) Confederation of States
(d) Unitary State
3. Who among the following has received both Bharat Ratna and Nishan-e-Pakistan?
(a) Morarji Desai
(b) Mahatma Gandhi
(c) Ayub Khan
(d) Maulana Abul Kalam Azad
4. Who among the following laid the foundation of nuclear science in the country ?
(a) Vikram Sarabhai
(b) Homi J Bhabha
(c) M G K Menon
(d) Raja Ramanna
5. Which of the following is used as a moderator in nuclear reactor ?
(a) Ordinary water
(b) Radium
(c) Thorium
(d) Graphite
6. Cryogenic engines find applications in
(a) rocket technology
(b) frost-free refrigerators
(c) sub-marine propulsion
(d) researches in superconductivity
7. Which of the following is the largest part of the brain ?
(a) Cerebrum
(b) Medulla
(c) Thalamus
(d) Cerebellum
8. The Estimates Committee
(a) consists of 30 members appointed by the Speaker
(b) consists of 15 members each from Lok Sabha and Rajya Sabha
(c) has its members elected according to the system of proportional representation
(d) has a Union Minister as its Chairman
9. Which of the following theories was not proposed by Charles Darwin?
(a) Natural selection
(b) Survival of the fittest
(c) Struggle for existence
(d) Inheritance of acquired characters
10. Which of the group of blood is universal Donar?
(a) O
(b) A
(c) B
(d) AB
11. The first Bank established in India was
(a) Punjab National Bank
(b) Traders Bank
(c) State Bank of India
(d) Bank of Hindustan
12. For regulation of the Insurance Trade in the country the Government has formed
(a) SEBI
(b) Reserve Bank of India
(c) Insurance Regulatory and Development Authority
(d) General Insurance
13. Which Indian became the President of International Court of Justice ?
(a) Justice HR Khanna
(b) Justice Ajit Ray
(c) Dr Nagendra Singh
(d) Justice PN Bhagwati
14. A person covers half the distance with speed v1 and remaining half with speed v2. The average speed is given by
(a) 
(b) 
(c) 
(d) 
15. Two spheres of masses 3 kg and 4 kg are attached to ends of a string which passes over a frictionless pulley. Take g = 9.8 m/s2. The relative acceleration of the system is
(a) 4 ms−2
(b) 1.4 ms−2
(c) 3 ms−2
(d) 2.8 ms−2
16. Two particles of equal masses have ratio of their linear momenta as 2 : 3. The ratio of kinetic energies will be
(a) 4 ; 9
(b) 2 : 3
(c) √2 : √3
(d) 3 : 2
17. A body of mass M1 collides with another mass M2 at rest. The collision is elastic. Maximum transfer of energy occurs when
(a) M1 = M2
(b) M1 > M2
(c) M1 < M2
(d) None of these
18. The rotational kinetic energy and moment of inertia of a body are represented by E and I respectively. The angular momentum (L or J) of the body is
(a) L2 = 2EI
(b) L2 = EI
(c) L2 = 2E/I
(d) L2 = 2I/E
19. A person sees his images in a room in which the ceiling and two adjacent walls are mirrors. How many images are formed?
(a) 5
(b) 6
(c) 7
(d) 8
20. A rectangular tank of depth 8 m is full of water (μ = 4/3). The bottom is seen at the depth
(a) 6 cm
(b) 8/3 cm
(c) 8 cm
(d) 10 cm
21. The phenomenon utilized in an optical fibre is
(a) refraction
(b) interference
(c) polarization
(d) total internal reflection
22. Kirchhoff’s second law is based on the law of conservation of
(a) charge
(b) momentum
(c) angular momentum
(d) energy
23. The effective resistance between points A and B is
(a) 60 Ω
(b) 40 Ω
(c) 20 Ω
(d) 10 Ω
24. A 100% efficient transformer has 100 turns in the primary and 25 turns in its secondary coil. If the current in the secondary coil is 4 A, then the current in the primary coil is
(a) 16 A
(b) 8 A
(c) 4 A
(d) 1 A
25. We can reduce eddy currents in the core of a transformer
(a) by increasing turns is secondary
(b) by increasing turns in primary
(c) by taking thick wire for windings
(d) by taking laminated core
26. Metal which is present in liquid state at room temperature is
(a) Hg
(b) Ga
(c) ‘a’ and ‘b’
(d) None of these
27. LPG (Liquified Petroleum Gas) is a
(a) mixture
(b) compound
(c) element
(d) None of these
28. Heavy water is
(a) deuterium oxide
(b) tritium oxide
(c) rain water
(d) water at 4°C
29. ‘mho’ is the unit of
(a) resistance
(b) specific resistance
(c) conductivity
(d) None of the above
30. Baloons are filled with
(a) helium
(b) oxygen
(c) nitrogen
(d) argon
Directions (Q. 31-33) : Read the following informations carefully and answer the questions given below it.
(i) Six persons P, Q, R, S, T and U are standing in two rows facing one another.
(ii) U is second to the right of R.
(iii) P is at last in row.
(iv) T is the neighbour of Q.
(v) R is in front of Q.
31. Which of the following are standing in same row ?
(a) P, Q and U
(b) T, Q and P
(c) P, R and T
(d) None of these
32. If P and Q interchange their place, who will be to the immediate left of O?
(a) S
(b) T
(c) U
(d) None of these
33. Which of the following pairs is facing each other?
(a) P, Q
(b) S, T
(c) R, U
(d) P, S
34. In a certain code language ‘POLISH’ is written as ‘MLIFPE’. How will ‘DIG’ be written in that code ?
(a) ZFD
(b) AFD
(c) BGD
(d) EHF
Directions (Q. 35-37) : In each of the following questions, there is a certain relationship between two given words on one side of : : and one word is given on another side of : : while another words is to be selected from the given alternatives, having the same relationship with this word as the words of the given pair bear. Choose the correct alternative.
35. Venerate : Worship : : Extol : ?
(a) Glorify
(b) Homage
(c) Compliment
(d) Recommend
36. Birth : Death : : Increase : ?
(a) Ease
(b) Decrease
(c) Tease
(d) Cease
37. Dog : Bark : : Goat : ?
(a) Bleat
(b) Hawl
(c) Grunt
(d) Bray
Directions (Q. 38-40) : In each of the following questions, four words have been given out of which three are alike in a certain way and one is different. Choose out the odd one.
38.
(a) Sun
(b) Moon
(c) Star
(d) Universe
39.
(a) Mast
(b) Bow
(c) Deck
(d) Quay
40.
(a) Hostel
(b) Hotel
(c) Motel
(d) Club
Directions (Q. 41-42) : In each of the following letters series, some of the letters are missing, which are given in that order as one of the alternatives below it.
41. c_baa_aca_cacab_acac_bca
(a) acbaa
(b) bbcaa
(c) bccab
(d) cbaac
42. c_bbb_abbbb_abbb_
(a) aabcb
(b) abccb
(c) abacb
(d) bacbb
Directions (Q. 43-45) : In each of the following questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces.
43. 12, 32, 72, 152, (……….)
(a) 312
(b) 325
(c) 515
(d) 613
44. 2, 15, 41, 80, (……….)
(a) 111
(b) 120
(c) 121
(d) 132
45. 8, 10, 14, 18 (………), 34, 50, 66
(a) 24
(b) 25
(c) 26
(d) 27
46. Y is the East of X, which is to the North of . If P is to the South of Z, then P is in which direction with respect to Y ?
(a) North
(b) South-West
(c) South-East
(d) North-East
47. If A + B means A is the brother of B; A ÷ B means A is the father of B and A × B means A is the sister of B, then which of the following means M is the uncle of P ?
(a) N × P ÷ M
(b) M + S ÷ R ÷ P
(c) M ÷N × P
(d) M + K ÷ T × P
Directions (Q. 48-49) : Find the missing character in the following questions.
48. 
(a) 19
(b) 23
(c) 25
(d) 31
49. 
(a) 184
(b) 210
(c) 241
(d) 425
50. If February 1, 1996 is Wednesday, what day is March 3, 1996 ?
(a) Monday
(b) Sunday
(c) Saturday
(d) Friday
Directions (Q. 51-52) : Each of the following questions consists of two sets of figures (1, 2, 3, 4) constitute the problem set while figure (a, b, c) and (d) constitute the answer set. There is a definite relationship between figures (1) and (2). Establish a similar relationship between figures (3) and (4) by choosing a suitable figure from the answer set.
51. 
52. 
Directions (Q. 53-54) : Each of the following questions, a part of the figure is missing. Find out from the given options (a, b, c and d), the right figure to fit in the missing figure.
53. 
54. 
55. How many parallelograms are there in the figure given below ?
(a) 14
(b) 15
(c) 18
(d) 16
56. The sum of first 20 odd natural numbers is equal to
(a) 210
(b) 300
(c) 400
(d) 420
57. The simplified value of 
is
(a) 2/99
(b) 1/25
(c) 1/50
(d) 1/100
58. The value of 
is
(a) 0.3
(b) 1.1
(c) 0.1
(d) 0.61
59. The value of 
is
(a) 990809
(b) 998996
(c) 999824
(d) 998999
60. The LCM of two numbers is 225 and their HCF is 45. If one number is 25, then the other number will be
(a) 5
(b) 25
(c) 45
(d) 225
61. The least number which when divided by 12, 15, 20 or 54 leaves a remainder of 4 in each case, is
(a) 450
(b) 454
(c) 540
(d) 544
62. The average of runs of a cricket player of 10 inning was 32. How many runs must be make in the next inning so as to increase his average of runs by 4?
(a) 76
(b) 70
(c) 4
(d) 2
63. The average of 8 numbers is 20. The average of first two numbers is 
and that of the next three is 
If the sixth be less than the seventh and eighth numbers by 4 and 7 respectively, then the eighth number is
(a) 18
(b) 22
(c) 25
(d) 27
64. The price of an article is cut by 10%. To rectify it to its former value, the new price must be increased by
(a) 10%
(b) 
(c) 
(d) 11%
65. If 60% of the student in a school are boys and the number of girls are 972. How many boys are there in the school?
(a) 1258
(b) 1458
(c) 1324
(d) 1624
66. Raghvan purchased a scooter 13/15th of its selling price and sold it at 12% more than its selling price. Its gain is
(a) 20%
(b) 30%
(c) 
(d) 
67. A man sells a book at a profit of 20%. If he had bought it for 20% loss and sold if for Rs 22 less he would have gained 25%. What is the cost of the book?
(a) Rs 78
(b) Rs 90
(c) Rs 110
(d) Rs 122
68. A starts a business with Rs 3500 and after 5 months B joins with A as his partner. After 1 yr the profit is divided in the ratio 2 : 3. What is B’s contribution in capital?
(a) Rs 8000
(b) Rs 8500
(c) Rs 9000
(d) Rs 7500
69. What are factors of (6√3x2 – 47x + 5√3)
(a) (2x – 5√3) (1 – 3√3x)
(b) (2x – 5√3) (3√x – 1)
(c) (2x – 5√3) (3x – 1)
(d) (2x – 5√3) (3√3x – 1)
70. What must be added to 1/x to make it equal to x?
(a) 
(b) 
(c) 
(d) None of these
71. If a + b + c = 10 and ab + bc + ac = 31, then the value of a2 + b2 + c2 is
(a) 28
(b) 100
(c) 62
(d) 38
72. In a rectangle ABCD, AB = 15 cm, ∠BAC = 60°, then the length of side BC is
(a) 15√2
(b) 15
(c) 15√5
(d) 15√3
73. If √3 tan 2θ – 3 = 0, then the angle θ is
(a) 30°
(b) 60°
(c) 90°
(d) None of these
74. The value of 2 cos x – cos 3x – cos 5x is
(a) 16 cos2 x sin3 x
(b) 16 cos3 x sin2 x
(c) 16 cos3 x
(d) 6 cos3 x cos2 x
75. A horse is tied to post by a rope. If the horse moves along a circular path always keeping the rope tight and describes 88 m when it has traced out 72° at the centre, then what is the length of the rope ?
(a) 40 m
(b) 32 m
(c) 70 m
(d) 88 m
76. If OA and OB are opposite rays, a ray OC inclined. If one of the angle is 75°, then the measurement of the second angle is
(a) 105°
(b) 70°
(c) 15°
(d) None of these
77. If figure, ∠AOC and ∠BOC from a linear pair, then the value of x is
(a) 15°
(b) 40°
(c) 25°
(d) 30°
78. The rational expression which should be added to 
to get 
is
(a) 1
(b) 
(c) 
(d) None of these
79. log5√5 5 is equal to
(a) 2/3
(b) 1/3
(c) 1/2
(d) 2
80. The value of log6 (216√6) is equal to
(a) 3/2
(b) 5/2
(c) 7/2
(d) 9/2
81. The value of 
is equal to
(a) 81
(b) 1/81
(c) 20
(d) 1/20
82. Out of a certain number of Sarasbird one-fourth the number are moving about in lotus plants, 1/9th coupled with 1/4th as well as 7 times the square root of the number, move on a hill, 56 birds remain in Vakula tree. Then find the total number of birds are
(a) 756
(b) 24
(c) 124
(d) 576
83. ABC is an isosceles triangle. If the co-ordinates of the base are B(1, 3) and C(−2, 7), the co-ordinates of vertex A can be
(a) (1, 6)
(b) (−1/2, 5)
(c) (5/6, 6)
(d) (7, −1/8)
84. If A = {a, b, c, d} and B = {b, c, e}, then A ∪ B is equal to
(a) {a, b, c, d, e}
(b) ϕ
(c) {b, c, d}
(d) None of these
85. The value of log2 64 is equal to
(a) 2
(b) 4
(c) 6
(d) 8
Directions (Q. 86-88) : Find out the part which has an error in the following sentences. If there is no error, your answer is (d).
86. All I know is that (a) / I won’t be at peace with myself (b) / unless I do not go there. (c) / No error (d)
87. Dr Sinha was sympathetic (a) / not only to the rich patients (b)/ and also to the poor ones. (c) / No error (d)
88. Her name is so glorious (a) / in our history (b) / as any other leader. (c)/ No error (d)
Directions (Q. 89-91) : Fill in the blanks with appropriate words.
89. A great poet and leader ………..
(a) were dead
(b) die
(c) has died
(d) have died
90. Neither he nor you ………. to go.
(a) is
(b) was
(c) have
(d) has
91. Just outside the hotel ……… two bars, extremely beautiful as well as crowdy.
(a) is
(b) are
(c) has been
(d) was
Directions (Q. 92-94) : In the following questions, choose the word same in meaning of the word given in bold letters.
92. Macabre
(a) Innocent
(b) Tarried
(c) Gruesome
(d) Pleasing
93. Denouement
(a) Outcome
(b) Eschew
(c) Action
(d) Character
94. Feign
(a) Hesitate
(b) Pretend
(c) Deserve
(d) Attend
Directions (Q. 95-97) : In the following questions, choose the word opposite in meaning of the word given in bold letters.
95. Parsimonious
(a) Scrimp
(b) Lavish
(c) Polite
(d) Meticulous
96. Delectable
(a) Agonising
(b) Appetising
(c) Distasteful
(d) Laborious
97. Grave
(a) Noble
(b) Inconsequential
(c) Solemn
(d) Senile
Directions (Q. 98-100) : Choose the alternative which can be substituted for the given words/ sentence.
98. Walking in sleep
(a) Somniloquism
(b) Somnambulism
(c) Obsession
(d) Hallucination
99. Belief or opinion contrary to what is generally accepted
(a) Unbelief
(b) Superstition
(c) Non conformity
(d) Heresy
100. The custom of having more than one husband at the same time
(a) Polygamy
(b) Polyandry
(c) Debauchery
(d) Bigamy
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