পাটিগণিত

51. What is the probability of getting a sum of six if two dices are thrown at once?

• ক. 5/36
• খ. 7/36
• গ. 2/36
• ঘ. 1/36

52. A ladder rests against a wall that is perpendicular to the ground. If the bottom of the ladder is 4m away from the bottom of the wall, while the top of the ladders is at a height of 3m what is the length of he ladder?

• ক. 7m
• খ. 35m
• গ. 5m
• ঘ. 25m

53. In a room of 36 people, 20 players play chess while 28 players play poker. How many players play both?

• ক. 48
• খ. 20
• গ. 12
• ঘ. 28

54. A fair six-sided dice is rolled. Find the probability of getting an odd number or a number less then 4 -

• ক. 2/3
• খ. 3/4
• গ. 5/6
• ঘ. 1/6

55. How many positive integers less than ten thousand are multiples of both right and eighteen?

• ক. 70
• খ. 72
• গ. 138
• ঘ. 139

56. রোমান সংখ্যা MCCLXXIV এর মান কত?

• ক. ৭৮৪
• খ. ১২৮৫
• গ. ১২৩৪
• ঘ. ২২৮৪

57. Find the area of the triangle formed by the points located at (5,2), (-9,-3) and (-3,-5).

• ক. 27 square unit
• খ. 29 square unit
• গ. 31 square unit
• ঘ. 20 square unit

58. a is greater than b by 2 and b is greater than c by 10. If (a + b + c) = 130, then b + c - a =?

• ক. 34
• খ. 36
• গ. 38
• ঘ. 39

59. A number consists of 3 digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is -

• ক. 253
• খ. 352
• গ. 145
• ঘ. 370

60. The batting average for 40 innings of a cricket player is 50 runs. His highest score in an innings exceeds his lowest score by 172 runs. If these two innings are excluded, the average score of the remaining 38 innings is 48 runs. Find his highest score in

• ক. 180 runs
• খ. 170 runs
• গ. 174 runs
• ঘ. 168 runs

61. What is the greatest prime factor of (2⁴)² - 1?

• ক. 3
• খ. 5
• গ. 11
• ঘ. 17

62. A number x is divided by 7. When this number is divided by 8, 12 and 16, It leaves a remainder 3 in each case. The least value of x is?

• ক. 150
• খ. 148
• গ. 151
• ঘ. 147

63. A train is moving at the rate 8 mi/h along a piece of circular track of radius 2500 ft. Through what angle does it turn in 1 min?

• ক. 0.3816 rad or 18.13
• খ. 0.2816 rad or 16.13
• গ. 0.2844 rad or 16.13
• ঘ. 0.2916 rad or 17.13

64. N can do a piece of work in 80 days. He works at it for 10 days and then M lone finishes the remaining work in 42 days. In how much time will N and M, workings together, finish the work?

• ক. 24 days
• খ. 30 days
• গ. 36 days
• ঘ. 20 days

65. A wheel that has 6 cogs in meshed with a larger wheel if 14 cogs. When the smaller wheel has made 21 revolutions, the number of revolutions made by the larger wheel will be -

• ক. 5
• খ. 8
• গ. 10
• ঘ. 9

66. If a, b, c are the lengths of the sides of a triangle, then which of the following is true?

• ক. a+b>c
• খ. a+b=c
• গ. a-b
• ঘ. a+b

67. If 9^{2x + 1} = 81, then x =?

• ক. 1/2
• খ. 3/2
• গ. 7/2
• ঘ. 5/2

68. A man in a train notice that he can count 21 telephone posts in one minute. It they are known to be 50 meters apart, then at what speed is the train travelling?

• ক. 60 kmph
• খ. 55 kmph
• গ. 63 kmph
• ঘ. 57 kmph

69. If x² - 4x + 3 = 0, then what is he value of (x - 2)² ?

• ক. -1
• খ. 0
• গ. 1
• ঘ. 3

70. The sum and difference of the L.C.M and H.C.F. of two numbers are 592 and 518 respectively. If the sum of the numbers be 296, find the product of the numbers.

• ক. 20535
• খ. 25550
• গ. 30550
• ঘ. 28430

71. What is the value(s) of p such that 4x² - px + 9 is a perfect square?

• ক. 4 and 9
• খ. 3 and 5
• গ. 5 and 7
• ঘ. 2 and 5

72. If x² + 4x + 3 is odd, then which one of the following could be the value of x?

• ক. 9
• খ. 11
• গ. 12
• ঘ. 16

73. A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and p. He found the mean to be 12. What should be the number in place of p?

• ক. 7
• খ. 3
• গ. 17
• ঘ. 31

74. After getting two successive discounts, a shirt with a list price of 150 taka is available at 105 taka. If the second discount is 12.5%, find the first discount.

• ক. 30%
• খ. 25%
• গ. 20%
• ঘ. 35%

75. If Q/O = 1/4. What is the value of P+Q/P - Q ?

• ক. 5/3
• খ. 2/3
• গ. 3/5
• ঘ. 3/4