Railway Recruitment Board Secunderabad ESM Grade-II Examination Held on 15-11-2009
1. Out of three numbers, the first is twice the second and is half of the third. If the average the three numbers is 56, then difference of first and third number is
(a) 12
(b) 20
(c) 24
(d) 48
2. The sum of the square of two positive numbers is 100 and difference of their square is 28, the remainder will be
(a) 2
(b) 5
(c) 13
(d) 28
3. A number divided by 899 gives a remainder of 63. If the number is divided by 29, the remainder will be
(a) 2
(b) 5
(c) 13
(d) 28
4. 
is equal to
(a) 
(b) 
(c) 9/10
(d) 
5. The value of 
is
(a) 7/4
(b) 4/7
(c) 7/5
(d) 3/7
6. 4 bells ring at intervals of 30 min, 1 h, 
and 1 h 45 min, respectively. All the bell ring simultaneously at 12 noon. They will again ring simultaneously at
(a) 12 mind night
(b) 3 am
(c) 6 am
(d) 9 am
7. The least multiple of 13 which on divided by 4, 5, 6, 7 and 8 leaves remainder 2 in each case, is
(a) 2320
(b) 842
(c) 2522
(d) 840
8. The average of 7 consecutive number is 20. The largest of these numbers is
(a) 24
(b) 23
(c) 22
(d) 20
9. The average age of 14 girls and their teacher’s age is 15 yr. If the teacher’s age is excluded, the averaged reduces by 1. What is the teacher’s age?
(a) 35 yr
(b) 32 yr
(c) 30 yr
(d) 29 yr
10. A person who spends 
of h is income is able to save Rs 1200 per month. Its monthly expenses (in Rs) is
(a) 1200
(b) 2400
(c) 3000
(d) 3200
11. If 80% of A = 50% of B and B = x% of A, then the value of x is
(a) 400
(b) 300
(c) 160
(d) 150
12. A house worth Rs 150000 is sold by X at a 5% profit to Y. Y sell the house back to X at a 2% loss. Then the in entire transaction
(a) X gain Rs 4350
(b) X loses Rs 4350
(c) X gain Rs 3150
(d) X loses Rs 3150
13. A book seller bought 200 text books for Rs 12000. He wanted to sell them at a profit to that he got 20% books free. At what profit percent should he sell them ?
(a) 10
(b) 11
(c) 11.5
(d) 12
14. Jayant started a business investing Rs 40000. After four months, Arun joined him with capital of Rs 60000. At the end of 1 yr, at what ratio should Jayant and Arun share the profit?
(a) 1 : 2
(b) 2 : 1
(c) 1 : 1
(d) 1 : 3
15. The simple interest on a certain sum of money for 
at 12% per annum is Rs 40 less than the simple interest on the same sum for 
at 10% per annum. The sum is
(a) Rs 600
(b) Rs 800
(c) Rs 700
(d) Rs 900
16. In how much time would the simple interest on a certain sum he 0.125 times the principal at 10% per annum ?
(a) 
(b) 
(c) 
(d) 
17. If the amount is 2.25 times of the sum after 2 yr at compound interest (compound annually), the rate of interest per annum is
(a) 25%
(b) 30%
(c) 45%
(d) 50%
18. The diagonal of a square is The diagonal of another square hose area is double that of the first square, is
(a) 8√2 cm
(b) 16 cm
(c) √32 cm
(d) 8 cm
19. The area of square and a rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 5 cm and the breadth is less by 3 cm. The perimeter of rectangle is
(a) 17 cm
(b) 26 cm
(c) 30 cm
(d) 34 cm
20. A train 132 m long passes a telegraph pole in 65. The speed of the train is
(a) 72 km/h
(b) 70 km/h
(c) 79.2 km/h
(d) 80 km/h
21. The value of 
is
(a) 
(b) 
(c) 
(d) None of these
22. If a = log24 12, b = log36 24, c = log48 36, then 1 + abc is equal to
(a) 2ac
(b) 2bc
(c) 2ab
(d) None of these
23. The value of 
is equal to
(a) 49
(b) 625
(c) 216
(d) 890
24. 
is equal to
(a) 0
(b) 1
(c) 17/8
(d) 23/17
25. 16 divided into two parts such that the twice of the square of the greater part exceeds, the square of the smaller part by 64. What will the greater part ?
(a) 58
(b) 6
(c) 10
(d) None of these
26. If α, β are the roots of the equation ax2 + bx + c = 0, then an equation whose roots are 
(a) bx2 + ax + c = 0
(b) ax2 – bx + c = 0
(c) cx2 + ax + b = 0
(d) cx2 + bx + a = 0
27. In a group of children, each child gives a gift to every other child. If the number of gifts is 132, then the number of children are
(a) 11
(b) 12
(c) 14
(d) None of these
28. What is the remainder when (4x3 – 3x2 + 2x – 1) is divided by (x + 2) ?
(a) 49
(b) −49
(c) 9
(d) −32
29. What are the factors of (a – b)3 + (b – c)3 + (c – a)3 ?
(a) 3(a – b) (b – c) (a – c)
(b) 3(a – b) (c – b) (c – a)
(c) 3(a – b) (b – c) (c – a)
(d) None of the above
30. The altitude AD of a ∆ABC in which ∠A is obtuse, is 10 cm. If BD = 10 cm and CD = 10√3 cm, then ∠A is
(a) 60°
(b) 30°
(c) 105°
(d) None of these
31. The value of 
is
(a) 5
(b) 3
(c) 9
(d) 2
32. The value of 2(sin6 θ + cos6 θ) – 3(sin4 θ + cos4 θ) is
(a) 1
(b) 0
(c) 5
(d) 3
33. In the given figure, PT touches the circle with centre O at R. Diameter SQ when produced meet PT at P. If ∠SPR = x and ∠QSR = y, then the value of (x + 2y) is
(a) 180°
(b) 90°
(c) 270°
(d) None of these
34. A point P(h, k) lies on the straight line x + y + 1 = 0 and is at a distance 5 from the origin. If k is negative, then h is equal to
(a) −3
(b) 3
(c) −4
(d) 4
35. If (a – 1, b) = (2, 3), then a and b are
(a) a = 3, b = 3
(b) a = 2, b = 3
(c) a = 0, b = 4
(d) None of these
36. In a certain code language ‘MONKEY’ is written as ‘XDJMNL’. How will ‘TIGER’ be written in that code ?
(a) QDHJS
(b) SDFHS
(c) SHFDQ
(d) QDFHS
Directions (Q. 37-39) : The following questions consist of two words each that have a certain relationship to each other, followed by four letter pairs of words. Select the lettered pair that has the same relationship as the original pair of words.
37. Numismatist : Coins
(a) Philatelist : Stamps
(b) Jeweller : Jewels
(c) Cartographer : Maps
(d) Geneticist : Chromosomes
38. Train : Track
(a) Idea : Brain
(b) Bullet : Barrel
(c) Water : Boat
(d) Fame : Television
39. Cells : Cytology
(a) Worms : Ornithology
(b) Insects : Entomology
(c) Diseases : Physiology
(d) Tissues : Morphology
Directions (Q. 40-42) : In each of the following questions, four numbers are given. Out of these, three are alike in a certain way but the one is different. Choose the one which is different from the rest three.
40.
(a) 1754
(b) 2690
(c) 7324
(d) 9611
41.
(a) 215
(b) 126
(c) 65
(d) 28
42.
(a) 392
(b) 326
(c) 414
(d) 248
Directions (Q. 43-45) : In each of the following questions, a number series is given with e one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces.
43. 5, 9, 17, 29, 45, (……..)
(a) 60
(b) 65
(c) 68
(d) 70
44. 1, 6, 15, (……….), 45, 66, 91
(a) 25
(b) 26
(c) 27
(d) 28
45. 1, 2, 3, 5, 8, (………)
(a) 9
(b) 11
(c) 13
(d) 15
46. If Raman is to the South of Shyam and Mohan is to the Eat of a Shyam, in which direction is Raman with respect to Mohan?
(a) North-East
(b) North-West
(c) South-East
(d) South-West
Directions (Q. 47-50) : Study the following informations carefully and answer the questions given below it.
There are six persons A, B, C, D, E and F. C is the sister of of F. B is the brother of E’s husband.
D is the father of A and grandfather of F. There are two fathers, three brothers and a mother in the group.
47. Who is the mother?
(a) A
(b) B
(c) D
(d) E
48. Who is E’s husband?
(a) B
(b) C
(c) A
(d) F
49. How many male members are there in the group?
(a) One
(b) Two
(c) Three
(d) Four
50. How is F related to E?
(a) Uncle
(b) Husband
(c) Son
(d) Daughter
51. If 1st October is Sunday, then 1st November will be
(a) Monday
(b) Tuesday
(c) Wednesday
(d) Thursday
52. In a March Past, seven persons are standing in a row. Q is standing left to R but right to P, O is standing right to N and left to P. Similarly, S is standing right to R and left to T. Find out who is standing in the middle?
(a) P
(b) Q
(c) R
(d) D
Directions (Q. 53-55) : In the following questions, three classes are given. Out of the four figures that follow, you are to indicate which figure will best represent the relationship amongst the three classes.
53. Authors, Teachers, Men
54. Tables, Chairs, Furniture
55. Tea, Coffee, Beverages
56. In a queue, Amrita is 10th from the front while Mukul is 25th from rear and Mamta is just in the middle of the two. If there are 50 persons in the queue, what position does Mamta occupy from the front?
(a) 20th
(b) 19th
(c) 18th
(d) 17th
57. Shyam is taller than Pradeep and Pradeep is equal to Anurag. But Anand is smaller than Suresh who is equal to Anurag. If Pradeep is taller than Praveen, who is the tallest of all?
(a) Pradeep
(b) Praveen
(c) Suresh
(d) Shyam
58. How many squares are there in the following figure?
(a) 5
(b) 4
(c) 7
(d) 6
Directions (Q. 59-60) : 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.
59. 
60. 
61. The book ‘Indica’ was written by
(a) Vishakhadatta
(b) Bhadrabahu
(c) Megasthenes
(d) None of these
62. The triratnas were stressed by
(a) Buddha
(b) Mahavira
(c) Manu
(d) Gaudapada
63. The practice of Sati was declared illegal by
(a) Lord Ripon
(b) Lord Cornwallis
(c) Lord William Bentinck
(d) Raja Ram Mohan Roy
64. Who among the following was responsible for the revival of Hinduism in the 19th Century?
(a) Swami Dayananda
(b) Swami Vivekananda
(c) Guru Shankaracharya
(d) Raja Ram Mohan Roy
65. What is the title of APJ Abdul Kalam’s autobiography?
(a) Me and Missile
(b) My Memories
(c) Sky is the Limit
(d) Wings of Fire
66. The Maratha power reached its Zenith during the Peshwaship of
(a) Narayan Rao
(b) Bajirao I
(c) Madhav Rao
(d) Balaji II
67. The Mughal emperor at the time of Ahmed Shah Abdall’s invasion of India was
(a) Bahadur Shah I
(b) Shah Alam I
(c) Bahadur Shah II
(d) Shah Alam II
68. The highest waterfall in India is
(a) Sivasundaram
(b) Jog
(c) Courtallam
(d) Hogenakal
69. Which of the following latitudes passes through India?
(a) Equator
(b) Arctic Circle
(c) Tropic of Capricorn
(d) Tropic of Cancer
70. Who among the following is the world’s first woman cosmonaut?
(a) Stratosphere
(b) Exosphere
(c) Ionosphere
(d) Mesosphere
71. Who among the following is the world’s first woman cosmonaut?
(a) Bachendri Pal
(b) Junko Tabei
(c) Valentina Tereshkova
(d) Sally Ride
72. The field of view is maximum when image is formed by reflection at
(a) plane mirror
(b) convex mirror
(c) concave
(d) cylindrical mirror
73. The plane surface of a plano-convex lens is silvered. Focal length of lens is f. After silvering it will behave as
(a) plane mirror
(b) convex mirror of focal length 2f
(c) concave mirror of focal length f/2
(d) None of the above
74. A plano-convex lens is made of glass of refractive index 1.5. The radius of curvature of its convex surface is R. Its focal length is
(a) R/2
(b) R
(c) 2R
(d) 1.5 R
75. A galvanometer can be converted into an ammeter by connecting a
(a) low resistance in parallel
(b) low resistance in series
(c) high resistance in parallel
(d) high resistance in series
76. In transformer, core is made of soft iron to reduce
(a) eddy current losses
(b) magnetic flux losses
(c) copper losses
(d) hysteresis losses
77. In a transformer, 220 AC voltage is increased to 2200 V. If the number of turns in the secondary are 2000, then the number of turns in the primary will be
(a) 20
(b) 100
(c) 50
(d) 200
78. First organic compound which as prepared in laboratory is
(a) methane
(b) urea
(c) formaldehyde
(d) water
79. Purest form of iron is
(a) cast iron
(b) pig iron
(c) steel
(d) wrought iron
80. Temporary hardness of water can be removed
(a) by passing CO2
(b) by passing SO2
(c) by adding Ca(OH)2
(d) by adding NaCl
81. At a particular height, the velocity of an ascending body is u. The velocity at the same height while the body falls under gravity is
(a) u
(b) u2
(c) 2u
(d) u/2
82. A force of 100 N acts on a huge mass of 100 kg for 0.1 s. Change in momentum will be
(a) 100 kgm/s
(b) 10 kgm/s
(c) 1 kgm/s
(d) 0.1 kgm/s
83. Two bodies having masses in the ratio 2 : 3 fall freely under gravity from heights 9 : 16. The ratio of their linear momenta on touching the ground is
(a) 2 : 9
(b) 3 : 16
(c) 1 : 2
(d) 3 : 2
84. Maximum work will be done if the angle between force applied and displacement produced as
(a) zero
(b) 45°
(c) 90°
(d) 180°
85. An artificial satellite is revolving around earth. The physical quantity which is conserved as
(a) angular momentum
(b) torque
(c) moment of inertia
(d) total energy
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. Your will not (a) / get well until (b) / you take medicine regularly. (c)/ No error (d)
87. You must either (a) / inform the police else be (b)/ prepared to suffer any loss. (c)/ No error (d)
88. Both the rich along with the poor (a)/ are responsible for a great many vice (b)/ with which our society as well as country is inflicted. (c)/ No error (d)
Directions (Q. 89-91) : Fill in the blanks with appropriate words.
89. Two miles beyond that pasture ……….. seen hundreds of cattle including some lambs.
(a) was
(b) has
(c) is
(d) were
90. The teachers face the same problems in their day to day lives as ………. an ordinary man of our society.
(a) do
(b) does
(c) have
(d) are
91. If I …………. you I would not stand this humiliation.
(a) am
(b) was
(c) were
(d) be
Directions (Q. 92-94) : In the following questions, choose the word same in meaning of the word given in bold letters.
92. Revulsion
(a) Apathy
(b) Violence
(c) Disgust
(d) Avenge
93. Salacious
(a) Obscene
(b) Wise
(c) Wholesome
(d) Confident
94. Repercussion
(a) Reaction
(b) Acceptance
(c) Resistance
(d) Magnificence
Directions (Q. 95-97) : In the following questions, choose the word opposite in meaning of the word given in bold letters.
95. Confidant
(a) Turncoat
(b) Arrogant
(c) Confederate
(d) Firm
96. Boisterous
(a) Serene
(b) Tumultous
(c) Brazen
(d) Opaque
97. Reprimand
(a) Reward
(b) Appreciate
(c) Encourage
(d) Praise
Directions (Q. 98-100) : Choose the alternative which can be substituted for the given words/sentence.
98. Simplest and smallest form of a plant life, present in air, water and soil; essential to life but may cause disease
(a) Virus
(b) Amoeba
(c) Bacteria
(d) Toxin
99. Relationship by blood or birth
(a) Parentage
(b) Affiliation
(c) Consanguinity
(d) Nepotism
100. Opposed to great or sudden change
(a) Static
(b) Revolutionary
(c) Conservative
(d) Evolutionary
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