Number System

51. Which one of the following is greater than 2/3?

• ক. 33/50
• খ. 8/11
• গ. 3/5
• ঘ. 13/27

52. If - 1 < x ≤ 1 and x is an integer, then value of x is--

• ক. 0 only
• খ. 1 only
• গ. 0 and 1
• ঘ. one value more than 1

53. A number is selected at random from 40 to 50 inclusive. What is the probability that the number is prime number?

• ক. 3/11
• খ. 3/10
• গ. 2/11
• ঘ. 1/5

54. How many of the positive integers less than 25 are 2 less than an integer multiple of 4?

• ক. two
• খ. three
• গ. four
• ঘ. six

55. If x and y are prime numbers, which of the following cannot be the sum of x and y?

• ক. 5
• খ. 9
• গ. 13
• ঘ. 23

56. Which of the following is a prime number?

• ক. 2
• খ. 0
• গ. 1
• ঘ. 143

57. If n is an even integer which of the following must be an odd integer?

• ক. 7n - 2
• খ. 5(n - 2)
• গ. (16n + 24)/8
• ঘ. (6n + 12)/3

58. What is the product of the odd integers between - 8 and 8?

• ক. 11025
• খ. 5005
• গ. 0
• ঘ. 10050

59. The difference between √150 and √54 is--

• ক. 2√6
• খ. 16√6
• গ. 9√6
• ঘ. 6√2

60. The sum of a number and its inverse (or reciprocal) is equal to twice the number. What is the number?

• ক. 1 or -1
• খ. -2
• গ. 1
• ঘ. -1

61. How many prime numbers are there between 56 and 100?

• ক. 10
• খ. 11
• গ. 9
• ঘ. 8

62. The average of four consecutive odd positive integers is always--

• ক. an even number
• খ. an odd number
• গ. divisible by 4
• ঘ. Both a and c

63. If m is an even integer and n is an odd integer and both are positive numbers then which of the following must be even?

• ক. m2 + n2
• খ. mn + n2
• গ. m3 + n2
• ঘ. mn + m2

64. Which of the following must be odd? I. The product of two even numbers II. The product of two odd numbers III. The sum of an odd and an even number

• ক. I only
• খ. II and III only
• গ. I and III only
• ঘ. I, II and III

65. If 2 < x < 4 and 3 < y < 7, what is the largest integer value of x + y?

• ক. 9
• খ. 10
• গ. 7
• ঘ. 8

66. If the 1st number ina deries of consecutive odd numbers is 8 less than the last number in the series, how many numbers are there in the series?

• ক. 7
• খ. 8
• গ. 4
• ঘ. 5

67. If 1.4 is halfway between two points x and y what sre the possible values of x and y?

• ক. -1.4 and 2.4
• খ. -1 and 2
• গ. 0.3 and 3.1
• ঘ. 0.15 and 1.55

68. What is the number of primes that are divisible by 3?

• ক. 2
• খ. infinite
• গ. 1
• ঘ. 0

69. Which of the following is not an integer?

• ক. 9.98
• খ. 2
• গ. -3
• ঘ. 0

70. The product of two numbers is 900 and their sum exceeds their difference by 30. The greater of these two numbers is:

• ক. 60
• খ. 15
• গ. 75
• ঘ. 90

71. Find the missing number of the series 1/16, 1/4, -- , 4

• ক. 16
• খ. 4
• গ. 1/2
• ঘ. 1

72. Six consecutive whole numbers are given; the sum of the first three numbers is 27. What is the sum of the last three numbers?

• ক. 36
• খ. 33
• গ. 32
• ঘ. 30

73. Find the next number of the series 7, 10, 14, 16, 21, 22, ---

• ক. 20
• খ. 22
• গ. 26
• ঘ. 28

74. In the following series, what comes next? 1, A, 9, I, 17, --

• ক. E
• খ. Q
• গ. U
• ঘ. T

75. Fill in the blank in the series: 000, 001, 011, ---

• ক. 111
• খ. 101
• গ. 010
• ঘ. 110