51. A number when divided by 357 gives a remainder 37.
By dividing the same number by 17, the remainder
would be:
(a) 3 (b) 4
(c) 2 (d) None of these
52. The product of two numbers is 120. The sum of their
squares is 289. The sum of the two numbers is:
(a) 20 (b) 23
(c) 169 (d) None of these
53. Three numbers are in the ratio 4:5:6 and their average
is 25. The largest number is:
(a) 42 (b) 36
(c) 30 (d) 32
54. A number exceeds 20% of itself by 40. The number is:
(a) 50 (b) 60
(c) 80 (d) 320
55. If 16% of 40% of a number is 8, the number is:
(a) 200 (b) 225
(c) 125 (d) 320
56. 4767 exactly divides *** 341, the missing digits are:
(a) 468 (b) 586
(c) 363 (d) None of these
57. A number when divided by a certain divisor left remainder
241, when twice the number was divided by the same
divisor, the remainder was 112. Find the divisor.
(a) 370 (b) 365
(c) 380 (d) 456
58. Two numbers when divided by a certain divisor give
remainders 43 and 37 respectively, when their sum
is divided by the same divisor, the remainder is 13.
Find the divisor.
(a) 71 (b) 67
(c) 57 (d) 77
59. Two numbers are such that the ratio between them is
3:5; but if each is increased by 10, the ratio between
them becomes 5:7. The numbers are:
(a) 3, 5 (b) 7, 9
(c) 13, 22 (d) 15, 25
60. Divide 50 into two parts so that the sum of their
reciprocals is 1/12.
(a) 20, 30 (b) 24, 26
(c) 28, 22 (d) 36, 14
61. The sum of seven numbers is 235. The average of
the fi rst three is 23 and that of last three is 42. The
fourth number is:
(a) 40 (b) 126
(c) 69 (d) 195
62. The sum of squares of two numbers is 68 and the
squares of their difference is 36. The product of the
two numbers is:
(a) 16 (b) 32
(c) 58 (d) 104
63. What is the least value of K so that the number
6735K1 is divisible by 9?
(a) 5 (b) 7
(c) 4 (d) 3
64. For what value of K, the number 7236K2 is divisible
by 8?
(a) 7 (b) 5
(c) 4 (d) 9
65. Find the least values of x and y so that the number
5x423y is divisible by 88.
(a) 8, 2 (b) 7, 3
(c) 9, 4 (d) 6, 5
66. 24 is divided into two parts such that 7 times the
first part added to 5 times the second part makes
146. The first part is:
(a) 13 (b) 15
(c) 17 (d) 19
67. Sum of three numbers is 132. First number is twice
the second and third number is one-third of the first.
Find the second number.
(a) 18 (b) 36
(c) 20 (d) 16
68. What least number must be added to 7231 so that
the resulting number is exactly divisible by 5 and 9
together?
(a) 20 (b) 18
(c) 14 (d) 16
69. Find a number nearest to 9231 which is exactly
divisible by 3 as well as by 11.
(a) 9240 (b) 9340
(c) 9540 (d) 9440
70. Find a nearest number to 12199 which is exactly
divisible by the product of the first four prime
numbers.
(a) 12181 (b) 12179
(c) 11281 (d) 11279

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