Equation and Inequality

51. If 1/x > 1/y, then which of the following must be true?

• ক. y > x
• খ. x > y
• গ. x < 0
• ঘ. y < 0

52. If 2x + 2y = 7z, then what is the average of x, y and z?

• ক. 1.5z
• খ. 3z
• গ. 2z + 1
• ঘ. z/3

53. An employer pays 3 workers X, Y and Z a total of Tk.610 or 36600.00 a week. X is paid 125% of the amount of Y is paid and 80% of the amount of Z is paid. How much does X make a week?

• ক. Tk.150 or 8500
• খ. Tk.175 or 11700
• গ. Tk.180 or 10800
• ঘ. Tk.195 or 9000

54. 8 is added to x. The sum is multiplied by 3. The product is devided by 2. Then 7 is subtracted from the quotient. The remainder is 50. Therefore x is--

• ক. 35
• খ. 20
• গ. 30
• ঘ. 40

55. If x = -1, which of the following has the largest value?

• ক. 2x
• খ. 4x
• গ. 8x
• ঘ. x/2

56. The solution set of the inequality (2x + 1) < 9(4 - x) is--

• ক. -5 < x < 7/4
• খ. x ≤ -5 and x ≥ 7/4
• গ. -7/4 < x < 5
• ঘ. x > 5 and x < -7/4

57. What is the value of t2 + 2t + 1t + 1 × n2 + nn3 + 2n2 + n =?

• ক. t/n
• খ. (t + 1)/(n + 1)
• গ. t2/n
• ঘ. (t + 1)/(n - 1)

58. If 2n = 128 and y = 5, then 2n - 1 × 5n - 2y - 1 =?

• ক. 100000
• খ. 1000000
• গ. 10000000
• ঘ. None of these

59. If 0.04 ×0.4 × a = 0.4 × 0.04 ×b, then the value of a/b is:

• ক. 0.016
• খ. 1.60
• গ. 0.16
• ঘ. None of these

60. If 1/3 + 1/2 + 1/x = 4, then x =?

• ক. 18/5
• খ. 19/6
• গ. 24/11
• ঘ. 6/19

61. If a + b = √5 and a - b = √3, then a2 + b2 =?

• ক. √8
• খ. 6
• গ. 4
• ঘ. 4√2

62. In the expression of (x - y)3, the coefficient of y2 is:

• ক. 1
• খ. 3
• গ. 3a
• ঘ. -3a2

63. If x + y = 1 and x - y = 5, then what x is equal to?

• ক. 2
• খ. 4
• গ. 3
• ঘ. 5

64. If 2x - y = 4 then 6x - 3y =?

• ক. 12
• খ. 10
• গ. 4
• ঘ. 6

65. If 3x/(1 + x) = 1, then x =?

• ক. -1
• খ. 2
• গ. 10
• ঘ. 1

66. If x/y = -1 and xy = -1, then x - y =?

• ক. -1
• খ. -2
• গ. 2
• ঘ. 1

67. If 2x - 4 < 4, then--

• ক. x > 2
• খ. x < 2
• গ. 2 < x < 4
• ঘ. x < 4

68. If -3t + 8 > t - 6, then--

• ক. t > 7/2
• খ. t < 7/2
• গ. t > 1
• ঘ. t > -7/2

69. If x + y > 5 and x _ y > 3, then which of the following gives all & only possible values of x?

• ক. x > 4
• খ. x < 5
• গ. x > 5
• ঘ. x < 3

70. If the result obtained by multiplying a number x by a number 1 less itself is 4 less than multiplying x by itself, then x =?

• ক. 4
• খ. 5
• গ. 6
• ঘ. 2

71. Five times a number less 3 is 32. What is twice the number?

• ক. 16
• খ. 7
• গ. 3
• ঘ. 5

72. A ferry can carry 20 buses or 32 cars. If there are 15 buses on the ferry. How many cars can be loaded into it?

• ক. 12
• খ. 15
• গ. 6
• ঘ. 8

73. If x/bc = y/ca = z/ab, then x + y + z =?

• ক. (a + b + c)/abc
• খ. 1
• গ. 0
• ঘ. a + b + c

74. If x = 5y = 16 and x = -3, then the value of y is--

• ক. -24
• খ. -8
• গ. -2
• ঘ. 2

75. If 5/8 = 3/x and y = 1/5, what is the value of (x + 6y)?

• ক. 41/30
• খ. 2
• গ. 6
• ঘ. 16/5