51. The average of 8 numbers is 8. If 4 is subtracted from each of 6 of these numbers, what is the new average?
A. 3.5 B. 5 C.4 D. 6.5
52. In the triangle, what is the value of x?
A.25 B. 55 C. 60 D. 77
53. The sum of four consecutive multiples of 4 is 200. What is the largest number?
A. 48 B. 52 C. 56 D. 60
54. A rectangular field is 3.2 yards long. A fence marking the boundary is 11.2 yards in length. What is the area of the field in square yards?
A. 4.68 B. 7.68 C. 9.28 D. 11.28
55. When the price of each book goes up by Tk. 5, the librarian purchases 20 books than the required number for Tk. 1200. The original price of the book was
A. 15 Tk. B. 20 Tk. C. 25 Tk. D. 30 Tk.
56. At what rate of compound interest per annum will a sum of Tk. 1800 becomes Tk. 3042 in two years?
A. 10% B. 15% C. 20% D. 30%
57. In a tourist group of 100 people, 55 speak French, 40 speak Spanish, and 20 speak none of the languages. How many of them speak just one language?
A. 15 B. 25 C.40 D. 65
58. (289)0.17 x (17)0.16 =?
A. 4 B. √7 C. √17 D. √19
59. 69% of the students of a certain class took Mathematics and 47% took Biology. If each student took Biology or Mathematics and 44 took both, what is the total number of students in the class?
A. 150 B. 250 C. 300 D. 275
60. The distance between cities A and B is 120 miles. A car travels from A to B at 60 miles per hour and returns from B to A along the same route at 40 miles per hour. What is the average speed for the round trip?
A. 48 B. 50 C. 52 D. 56
61. The average of a natural number and Its cube is 13 times the number. The number is
A. 5 B. -5 C. ±5 D. 25
62. If logx27/64 = -3, then x=?
A. 1/3 B. 4/3 C. ¾ D. 2/3
63. √(x-6)+√(x+1) / √(x-6)-√(x+1) =-7, the value of x is
A. 11 B. 15 C. 9 D. None of these
64. Solution set of the inequality: x-5>4x+7 is
A. (-∞,-4) B. [-∞,-4) C. (-∞,-4] D. [-∞,-4]
65. If 1={1,4,9,16,25), the number of proper subsets of A is
A. 15 B. 16 C. 31 D. 32
66. If the height of a triangle is increased by 60% and its base is decreased by 30%, what will be the effect on its area?
A. 12% Increase B. 12% decrease C. 112% Increase D. No change
67. A tank is 1/3 parts full with water. If 8 liters of water is added, the tank becomes 5/6 parts full. What is the capacity of the tank?
A. 16 B. 24 C. 48 D. None
68. If x/y + y/x = √7 then what is the value of x4/y4 + y4/x4?
A. 22 B. 23 C. 25 D. 27
69. The denominator of a proper fraction is 3 more than the numerator. If the fraction is squared, its denominator will be 39 more than the numerator. The fraction is
A. 5/8 B. 4/7 C. 2/5 D. 8/11
70. If 3x + 3/x =5, then x3 + 1/x3 =?
A. 260/27 C. 85/27 C. -10/27 D. -90/27