Arithmetic – WB Excise Constable Prelim Previous Year Question Paper

WB Excise Constable Question Paper – 2013

8. What is the value of ⅙ + ¹/₁₂ + ¹/₂₀ + ¹/₃₀ – ⅓ ?

(A) ⅓

(B) ⅔

(C) 1

(D) 0

9. The numbers below are arranged in a specific order. What will be the next number?

1, 4, 9, 16, 25, 36, 49, …

(A) 55

(B) 60

(C) 64

(D) 98

38. A sells a watch to B at a loss of 10%. B sells the watch to C at a profit of 10%. If A had sold the watch at the price C bought it, what would be his percentage of loss?

(A) 10%

(B) 20%

(C) 5%

(D) 1%

39. Which of the following is not a prime number?

(A) 43

(B) 53

(C) 85

(D) 71

40. Average of the first 15 odd numbers is ____

(A) 18

(B) 15

(C) 20

(D) None of the above

41. The average age of 30 girls was 13 years. The average age of the first 18 is 15 years. What is the average age of the remaining 12 girls?

(A) 12 years

(B) 10 years

(C) 16 years

(D) 10.5 years

42. If a/3 = b/5 = c/7 then what is the value of (a+b+c)/b ?

(A) ¹/₅

(B) ¹/₃

(C) 3

(D) None of the above

43. If wheat priced at ₹ 2.04 per kg is mixed with wheat priced at ₹ 2.88 per kg in what ratio will the price of mixed wheat be ₹ 2.52 per kg?

(A) 2 : 3

(B) 3 : 2

(C) 5 : 3

(D) 3 : 4

44. A and B invest in a business in the ratio of 3 : 2. They contribute 5% of the total profit and if A’s capital is ₹ 4,275 then what is the total profit?

(A) ₹8,000

(B) ₹7,700

(C) ₹7,500

(D) ₹6,500

45. If 12 people working 16 hours a day earn ₹ 33,600 a week, then 18 people working 12 hours a day will earn how much ?

(A) ₹ 40,000

(B) ₹ 35,000

(C) ₹ 28,800

(D) ₹ 37,800

46. If 8% of X equals 4% of Y, then 20% of X will be equal to what % of Y?

(A) 10% of Y

(B) 15% of Y

(C) 20% of Y

(D) 25% of Y

49. A boat travels 60 km upstream in 2½ hours and returns the same distance in 3¾ hours. What is the speed of the boat in still water?

(A) 25 km/hr

(B) 15 km/hr

(C) 20 km/hr

(D) 10 km/hr

50. A seller makes 40% profit by selling 10 apples for ₹1. How many apples did he buy with the money?

(A) 14

(B) 24

(C) 30

(D) 10

51. At simple interest rate any capital is compounded 3 times in 20 years. In how many years will that capital double at the same rate of interest?

(A) 8 years

(B) 10 years

(C) 12 years

(D) 14 years

52. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. What is the L.C.M. of the two number?

(A) 12

(B) 16

(C) 48

(D) 24

59. One person walks from P to Q and returns by taxi from Q to P. The journey time is 16 hours. But if they come by taxi all the way, it takes less than 4 hours. If coming and going is only on foot, it will take.

(A) 15 hours

(B) 20 hours

(C) 18 hours

(D) 12 hours

60. The lengths of the two trains are 80 meters and 90 meters respectively. If they run towards each other with speeds of 10 m/s and 7 m/s respectively, in what time will they cross each other?

(A) 20 seconds

(B) 15 seconds

(C) 17 seconds

(D) 10 seconds

63. 10% of the total number of students in a class is male is equal to ¼ of females. What is the ratio of students in that class?

(A) 3 : 2

(B) 5 : 2

(C) 2 : 1

(D) 4 : 3

66. A 20% tax increase on an item reduces the item’s consumption by 20%. Now the tax that will be collected is ______

(A) Same

(B) 4% less

(C) 4% more

(D) 8% more

68. The largest four-digit number divisible by 88 is

(A) 9944

(B) 9678

(C) 9988

(D) 8888

69. 1-2+3-4+5-6+7-8+…. following this sequence, the value of the number till 1000 is

(A) -450

(B) -500

(C) -550

(D) Cannot be determined

75. A vendor loses the selling price of 4 oranges on selling 36 oranges. His loss per cent is

(A) 10%

(B) 11⅑%

(C) 12½%

(D) None of the above

78. Dividing a number by 4, 5, 6 successively has quotients of 2, 3 and 4 respectively. What is the number?

(A) 214

(B) 476

(C) 954

(D) 1908

81. What time will be taken by a train 110 m long running at a speed of 72 km per hour to cross a bridge 132 m long?

(A) 9.8 secs

(B) 12.1 secs

(C) 12.42 secs

(D) 14.3 secs

83. The ratio of boys to girls in a school is 7 : 5. If the total number of students in that school is 2400, what is the number of girls?

(A) 500

(B) 200

(C) 1000

(D) 700

84. In any line Indra is 7th from left and Jaya is 5th from right. When they swap positions, Jaya is 19th from the right. Then what is the position of Indra from left?

(A) 21st

(B) 19th

(C) 23rd

(D) 20th

86. The numbers given below are arranged in a special order. Put the correct number in the blank.

(A) 421

(B) 561

(C) 322

(D) 221

87. In one camp 95 people had 200 days of supplies. After 5 days 30 people left the camp. How long will the supplies last?

(A) 180

(B) 285¹⁶/₁₉

(C) 139

(D) 28.5