Railway Recruitment Board Kolkata Assistant Loco Pilot Examination Held on 27-09-2009
1. The sum of 5% of a number and 4% of other number is 2/3 of the sum of 6% of the first number and 8% of second. The ratio of the first number to the second is
(a) 2 : 3
(b) 3 : 2
(c) 3 : 4
(d) 4 : 3
2. In an election involving two candidates, 68 votes were declared invalid. The winning candidates score 52% and win by 98 votes. The total number of votes polled is
(a) 2520
(b) 2518
(c) 2500
(d) 2400
3. The cost price of 36 books is equal to the selling price of 30 books. The gain is
(a) 20%
(b) 
(c) 18%
(d) 
4. A man wanted to sell an article with 20% profit; but he actually sold at 20% loss for Rs 480. At what price did he want to sell it to earn the profit?
(a) Rs 720
(b) Rs 840
(c) Rs 600
(d) Rs 750
5. Ashok started a business investing Rs 25000. After 3 months, Vinod joined him with a capital of Rs 30000. At the end of the year they make a profit of Rs 19000. What will be Ashok’s share?
(a) Rs 5000
(b) Rs 10000
(c) Rs 9000
(d) Rs 8000
6. The sum of three consecutive odd natural numbers is 87, the smallest of these numbers is
(a) 29
(b) 31
(c) 23
(d) 27
7. 1/2 of 3/4 of a number is 
of 10. What is the number?
(a) 50
(b) 60
(c) 
(d) 56
8. Simplification of 
yields the result
(a) 6.91
(b) 7
(c) 6.81
(d) 7.1
9. The value of 
is
(a) 3/8
(b) 4/7
(c) 8/3
(d) 7/4
10. The HCF of two number is 48 and their LCM is 1440. If one of the numbers is 288, then the other number is
(a) 96
(b) 144
(c) 192
(d) 240
11. The least number which when divided by 25, 40 and 60 leaves the remainder 7 in each case is
(a) 1207
(b) 607
(c) 609
(d) 593
12. The average of 15 numbers is 7. If the average of the first 8 numbers be 6.5 and the average of last 8 numbers be 9.5, then the middle number is
(a) 20
(b) 21
(c) 23
(d) 18
13. Out of 10 teachers of a school, one teacher retires and in his place, a new teacher of age 25 yr joins. As a result average age of teachers reduces by 3 yr. The age of the retired teacher is
(a) 50 yr
(b) 55 yr
(c) 58 yr
(d) 60 yr
14. A sum of Rs 400 amounts to Rs 480 in 4 yr. What will it amount to if the rate of interest is increased by 2%?
(a) Rs 484
(b) Rs 560
(c) Rs 512
(d) None of these
15. At what rate per cent of simple interest will a sum of money double itself in 12 yr ?
(a) 
(b) 
(c) 
(d) 
16. The difference between the simple interest and compound interest on a certain sum of money for 2 yr at 4% per annum is Rs 1. The sum is
(a) Rs 2500
(b) Rs 2400
(c) Rs 2600
(d) Rs 625
17. The radius of a wheel is 21 cm. How many revolution will it make in travelling 924 m? (use π = 22/7)
(a) 9
(b) 11
(c) 200
(d) 700
18. The area of sector of a circle of a radius 5 cm formed by an arc of length 3.5 cm is
(a) 8.5 cm2
(b) 8.75 cm2
(c) 7.75 cm2
(d) 7.5 cm2
19. The rectangular paper 11 cm by 8 cm can be exactly wrapped to cover the curve surface of a cylinder of height 8 cm. The volume of cylinder is
(a) 66 cm3
(b) 77 cm3
(c) 88 cm3
(d) 121 cm3
20. The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is
(a) 27 : 20
(b) 20 : 27
(c) 9 : 4
(d) 4 : 9
21. The sum of two numbers is 42 and their product is 437. Then the absolute difference between the number is
(a) 3
(b) 4
(c) 5
(d) 7
22. The value of (243)6 × (243)0.04 is equal to
(a) 0.16
(b) 3
(c) 1/3
(d) 0.04
23. Of the three numbers whose average is 60, the first is one fourth of the sum of the others. The first number is
(a) 30
(b) 36
(c) 42
(d) 45
24. The average age of 12 players of a team is 25 yr. If the captain’s age is included, the average age increase by 1 yr. The age of the captain is
(a) 25 yr
(b) 38 yr
(c) 36 yr
(d) 26 yr
25. An athlete ran 200 m race in 24 s. His speed in km/h is
(a) 20
(b) 24
(c) 28.3
(d) 30
26. 5 person can prepare an admission list in 8 days working 7 h a day. If 2 person join them so as to complete the work in 4 days, they need to work per hour
(a) 10 h
(b) 9 h
(c) 12 h
(d) 8 h
27. The value of 
is
(a) 
(b) 
(c) 
(d) 
28. The ratio between the present ages of A and B I s 4 : 5. If the difference between their present ages is 8 yr, what is the sum of their present ages?
(a) 32 yr
(b) 40 yr
(c) 68 yr
(d) None of these
29. A mixture if 40 L of mil and water contain 100% water. How much water must be added to make water 20% in the new mixture?
(a) 10 L
(b) 7 L
(c) 5 L
(d) 3 L
30. In an hour a boat goes 11 km along the s tram and 5 km against the stream. The speed of the boat in still water in (km/h) is
(a) 5
(b) 6
(c) 8
(d) 9
31. The factor from (a4b4 – 16c4) is
(a) 4(a2b2 + c2) (ab – 2c) (ab + 2c)
(b) (a2b2 – 4c2) (ab + 2c)2
(c) (a2b2 + 4c2)(ab + 2c) (ab – 2c)
(d) (a2b2 – 4c2)2(ab + 2c) (ab + 4c)
32. If 
, then the value of 
will be
(a) 
(b) 
(c) 0
(d) 
33. If ‘a’ is an integer such that 
then the value of 
is
(a) 4
(b) 13/4
(c) 17/4
(d) 15/4
34. If √2sin(60° – 9) = 1 then, the value of θ is
(a) 20°
(b) 30°
(c) 15°
(d) None of these
35. ABC is a right angled triangle, right angled at C. If ∠A = 60° and AB = 40 unit, then the length of AC is
(a) 30
(b) 20
(c) 40
(d) None of these
36. AB and CD are two chords of a circle such that AB = 10 cm, CD = 24 cm and AB | | CD. The distance between AB and CD is 17 cm. Then the radius of the circle is equal to
(a) 13
(b) 169
(c) 26
(d) 23
37. ∠PQR and ∠QOR form a linear pair. If a – b = 80°, then the values of a and b respectively.
(a) 95°, 85°
(b) 108°, 72°
(c) 130°, 50°
(d) 105°, 750°
38. The value of 
is
(a) 
(b) 
(c) a + 5
(d) None of these
39. If 
then 
is equal to
(a) 0
(b) 1
(c) f(a)
(d) 2f(a)
40. If log(3 + 4 + k) = log 3 + log 4 + log k, then the value of k is equal to
(a) 11/7
(b) 7/11
(c) 7 × 11
(d) None of these
41. If α and β be the roots of ax2 – bx + c = 0, then what is the value of 
(a) 
(b) 
(c) 
(d) None of these
42. What will be the value of x for which 2x + 4 – 2x + 2 = 3 is true ?
(a) −2
(b) −3
(c) 0
(d) 5
43. If α and β are the roots of the equation x2 – 5x + 6 = 0, then the value of α2 – β2
(a) 5
(b) −5
(c) ±5
(d) ±4
44. If n(A ∪ B) = 727, n(A) = 600 and n(A ∩ B) = 127. Then, n(B) is equal to
(a) 324
(b) 292
(c) 254
(d) 236
45. In a class, 300 students speak Hindi, 150 students speak English and 100 students speak both Hindi and English. Then total number of students is
(a) 100
(b) 120
(c) 160
(d) 350
Directions (Q. 46-50) : Read the following informations carefully and answer the questions given below.
(i) A, B, C, D, E, F and G are sitting in a row facing North.
(ii) ‘F’ is immediate right of E.
(iii) ‘C’ is the neighbour of B and D.
(iv) The person who is third to the left of D, is on one of the ends.
(v) E is fourth to the right of G.
46. What is the position of ‘A’?
(a) Between A and D
(b) At the right end
(c) fifth to the right G
(d) None of the above
47. Which of the following statements is definitely true ?
(a) ‘D’ is immediate left of C
(b) ‘E’ is between A and F
(c) ‘G’ is immediate left of B
(d) None of the above
48. Who is to the left of ‘C’?
(a) G, B and D
(b) G and D
(c) D, E, F and A
(d) None of these
49. Who are the neighbours of ‘B’?
(a) C and G
(b) F and G
(c) C and D
(d) G and F
50. Which of the following statements is definitely false?
(a) ‘A’ is on one of the ends
(b) ‘E’ is immediate left of D
(c) ‘G’ is immediate left of B
(d) ‘F’ is second to the right of D
51. In a row of girls, Shilpa is eighth from the left and Reena is seventeenth from the right. If they interchange their positions, Shilpa becomes fourteenth from the left. How many girls are there in the row ?
(a) 25
(b) 30
(c) 27
(d) 28
52. There are five different houses, A to E, in a row. A is to the right of B and E is to the left of C and right of A, B is to the right of D. Which of the houses is in the middle?
(a) A
(b) B
(c) D
(d) E
Directions (Q. 53-54) : 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. State, Country, City
54. Woman, Teacher, Student
55. The cricket ball is heavier than the hockey ball and volleyball is lighter than the football. Hockey bal is heavier than the football and tennis ball. Which of the following is the heaviest ball ?
(a) Hockey ball
(b) Cricket ball
(c) Volleyball
(d) Football
56. In a row of trees one tree is fifth from either end of the row. How many trees are there in the row ?
(a) 8
(b) 9
(c) 10
(d) 11
57. There are four towns P, Q, R and T. Q is to the South-West of P, R is to the East of Q and South-East of P and T is to the North of R in the line with QP. In which direction of P is T located?
(a) South-East
(b) North
(c) North-East
(d) East
58. If ‘A ⋆ B’ means A is the mother of B; ‘A × B’ means A is the husband of B, then which of the following equations shows that ‘P’ is the father of ‘Q’?
(a) Q ⋆ M × P
(b) P ⋆ Q
(c) Q ⋆ P
(d) P × M ⋆ Q
Directions (Q. 59-60) : Find the missing character in the following questions.
59. 
(a) 320
(b) 274
(c) 262
(d) 132
60. 
(a) 48
(b) 32
(c) 35
(d) 120
61. If the first day of the year (other than the leap year) was Friday, then which was the last day of that year?
(a) Monday
(b) Friday
(c) Saturday
(d) Sunday
62. In a certain code language ‘STEAMER’ is written as ‘TUFBNFS’. How will ‘HOUSE’ b e written is that code?
(a) IPVUF
(b) IPUTF
(c) IPVTF
(d) IPVSF
Directions (Q. 63-65) : The following questions consist of two words each that have a certain relationship to each other, followed by four lettered pairs of words. Select the lettered pair that has the some relationship as the original pair of words.
63. Shield : Soldier
(a) Law : Court
(b) Stethoscope : Doctor
(c) Helmet : Rider
(d) Book : Rider
64. Food : Hungry
(a) Thought : Politics
(b) Water : River
(c) Rest : Weary
(d) Wine : Intoxication
65. Traffic : Road
(a) Aeroplane : Aerodome
(b) Roots : Tree
(c) Blood : Veins
(d) Car : Garage
Directions (Q. 66-68) : 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.
66.
(a) 21
(b) 69
(c) 81
(d) 93
67.
(a) 140
(b) 240
(c) 360
(d) 480
68.
(a) 232
(b) 431
(c) 612
(d) 813
Directions (Q. 69-71) : In each of the following questions, various term of a letter series are given with tone term missing as shown by (?). Choose the missing term out of the given alternatives.
69. CAT, FDW, IGZ, ?
(a) KJA
(b) KTC
(c) LHD
(d) LJC
70. BEH, KNQ, TWZ, ?
(a) IJL
(b) CFI
(c) BDF
(d) ADG
71. FLP, INS, LPV, ?
(a) ORY
(b) UXZ
(c) VXY
(d) SVW
Directions (Q. 72-75) : In each of the following questions, one term in the number series is wrong. Find out the wrong term.
72. 1, 2, 4, 8, 16, 32, 64, 96
(a) 4
(b) 32
(c) 64
(d) 96
73. 5, 10, 17, 24, 37
(a) 10
(b) 17
(c) 24
(d) 37
74. 6, 14, 30, 64, 126
(a) 6
(b) 14
(c) 64
(d) 126
75. 11, 2, 21, 3, 32, 4, 41, 5, 51, 6
(a) 21
(b) 11
(c) 32
(d) 51
Directions (Q. 76-77) : Each of the following questions, contain four problem figures marked (1, 2, 3) and (4) and four answer figures marked (a, b, c) and (d). Select a figure from amongst the answer figures which will continue the same series as given in the problem figures.
76. 
77. 
Directions (Q. 78-79) : Each of the following questions consists of two sets of figures (1, 2, 3, 4) constitute the problem set while figures (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.
78. 
79. 
Directions (Q. 80) : Find the mirror image of the questions.
80. NIRMALA
(a) ALAMRIN
(b) 
(c) NRILAMA
(d) INRMALA
81. 
If the speed of light in glass is 2.00 × 108 m/s, the speed in water will be
(a) 2.67 × 108 m/s
(b) 2.25 × 108 m/s
(c) 1.78 × 108 m/s
(d) 1.50 × 108 m/s
82. The reason for shining of air bubble in water is
(a) diffraction of light
(b) dispersion of light
(c) scattering of light
(d) total internal reflection
83. The emf of a primary cell is 2 V. When it I s short-circuited, it gives a current of 4 A. Its internal resistance is
(a) 2.0 Ω
(b) 5.0 Ω
(c) 0.5 Ω
(d) 8.0 Ω
84. A choke coil has
(a) low inductance and high resistance
(b) high inductance and low resistance
(c) high inductance and high resistance
(d) low inductance and low resistance
85. Which one of the following is most stable for cores of transformer?
(a) Steel
(b) Brass
(c) Copper
(d) Soft iron
86. An element which is not found in nature is
(a) Pt
(b) K
(c) Zn
(d) Pm
87. The most abundant gas is
(a) nitrogen
(b) oxygen
(c) helium
(d) carbon dioxide
88. In a flame, which part of flame is called the luminous zone?
(a) Outer zone
(b) Inner zone
(c) Middle zone
(d) Top of the flame
89. Which of the following is best conductor of electricity?
(a) Sea water
(b) Rain water
(c) Ordinary water
(d) Distilled water
90. Displacement s is related with time t in the equation s = 5t2 + 4t + 3. The acceleration is equal to
(a) 10 unit
(b) 5 unit
(c) 4 unit
(d) 3 unit
91. Whenever a horse pulls a cart, the force helpful in the movement of the horse is the force exerted by
(a) ground on the horse
(b) horse on the ground
(c) cart on the ground
(d) ground on the cart
92. A bullet of mass m is fired with velocity v in a large bulk of mass M. The final velocity v’ will be
(a) 
(b) 
(c) 
(d) (m + M)v
93. A bullet is fired from a rifle and the rifle recoils. Kinetic energy of rifle is
(a) less than KE of bullet
(b) greater than KE of bullet
(c) equal to KE of bullet
(d) None of the above
94. While jumping in a swimming pool, swimmer bends his body to decrease his
(a) angular momentum
(b) angular speed
(c) kinetic energy of translation
(d) moment of inertia
95. Which is the lower layer of the atmosphere?
(a) Troposphere
(b) Stratosphere
(c) Mesosphere
(d) Thermosphere
96. ATM stands for
(a) Automatic Teller Machine
(b) Automated Teller Machine
(c) Automatic Tally Machine
(d) Automated Tally Mechanism
97. Who is named as the flying Sikh of India?
(a) Mohinder Singh
(b) Ajit Pal Singh
(c) Joginder Singh
(d) Milkha Singh
98. The largest planet in our solar system is
(a) Mars
(b) Jupiter
(c) Saturn
(d) Mercury
99. The energy stored in a watch spring is
(a) Kinetic energy
(b) Potential energy
(c) Heat energy
(d) Chemical energy
100. The founder of the ‘Brahmo Samaj’ was
(a) Swami Dayananda Saraswati
(b) Ishwar Chandra Vidyasagar
(c) Raja Ram Mohan Ray
(d) Swami Vivekananda
101. The headquarters of UNESCO is in
(a) New York
(b) The Hague
(c) Paris
(d) Moscow
102. What is the minimum age for being the member of the parliament?
(a) 21 yr
(b) 25 yr
(c) 30 yr
(d) 35 yr
103. Delhi became the capital of India in
(a) 1910
(b) 1911
(c) 1916
(d) 1923
104. The capital of the pallavas was
(a) Badami
(b) Kanchi
(c) Manyalia
(d) Mahabalipuram
105. Which one of the following animals is called farmer’s friend?
(a) Ant
(b) Earthworm
(c) Bee
(d) Butterfly
Directions (Q. 106-108) : Find out the part which has an error in the following sentences. If there is no error, your answer is (d).
106. Hardly had I (a)/ left the house (b)/ then it began to rain. (c) No error (d)
107. The teacher said to the students, (a)/ “Go through the notes as many times (b)/ as possible lest you would fall.” (c)/ No error (d)
108. Unless you do not (a) / take care of your health. (b)/ you will continue to suffer. (c)/ No error (d)
Directions (Q. 109-111) : Fill in the blanks with appropriate words.
109. Either you or she ……….. this.
(a) have done
(b) has done
(c) would have done
(d) do
110. Many a girl ………. the movie.
(a) have seen
(b) has seen
(c) are going to see
(d) see
111. ……….. either of the two candidates been selected for the post of Branch Manager?
(a) Has
(b) Were
(c) Have
(d) Was
Directions (Q. 112-114) : In the following questions, choose the word same in meaning of the word given in bold letters.
112. Trivial
(a) Significant
(b) Momentous
(c) Unimportant
(d) Critical
113. Appease
(a) Agitate
(b) Pacify
(c) Qualify
(d) Interrupt
114. Defile
(a) Pollute
(b) Disapprove
(c) Delav
(d) Reveal
Directions (Q. 115-117) : In the following questions, choose the word opposite in meaning of the word given in bold letters.
115. Ignoble
(a) Huge
(b) Worthy
(c) Known
(d) Hypocritical
116. Lax
(a) Saltry
(b) Strict
(c) Shrill
(d) Boring
117. Tractable
(a) Irreligious
(b) Incapable
(c) Unmanageable
(d) Unreal
Directions (Q. 118-120) : Choose the alternative which can be substituted for the given words/sentence.
118. Story told to illustrate a moral or spiritual truth
(a) Didactic
(b) Parable
(c) Paragon
(d) Paradigm
119. One who eats everything
(a) Omnipotent
(b) Insolvent
(c) Omniscient
(d) Omnivorous
120. To move along with quick, short twisting.
(a) Swagger
(b) Stumble
(c) Wriggle
(d) Crawl
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