Equation and Inequality

76. (2uv)2 + (u2 - v2)2 =?

• ক. 2uv
• খ. (u2 + v2)2
• গ. u2 + v2
• ঘ. (2uv)2 + (u2 + v2)2

77. Which of the following inequalities is true?

• ক. 0 < 1/10 < 0.01
• খ. 0.12 < 1/8 < 0.13
• গ. 0.30 < 1/4 < 0.50
• ঘ. 0.30 < 1/3 < 0.33

78. If p = 3/5, q = 7/9 and r = 5/7, then

• ক. p < q < r
• খ. q < r < p
• গ. p < r < q
• ঘ. None of these

79. If x = ya, y = zb and z = xc then the value of abc is--

• ক. 4
• খ. 3
• গ. 2
• ঘ. 1

80. If 2x = 2y = 4-z then 1/x + 1/y + 1/z is equal to:

• ক. 0
• খ. 1
• গ. 3/2
• ঘ. -1/2

81. f(x) = -1 for all x > 0. If f(a) = -1 and f(ab) = -1 then b =?

• ক. 1
• খ. 3
• গ. -1
• ঘ. -3

82. Rahim, Karim and James paid a total of Tk. 45 for their dinner at a restaurant. If Rahim paid of the total amount, Karim paid Tk.17 and James paid the rest then what fraction of the total amount did james pay?

• ক. 2
• খ. 14
• গ. 1
• ঘ. 7

83. Tapo earns Tk.5.00 for every hour he works. Last week he worked for x hours. He purchased y kg of rice. Price of per kg rice is Tk.12.00. He saved the remaining amount. Which expression below ahows his savings?

• ক. Tk.(5.00x + 12x + 12.00y)
• খ. Tk.(5x - 12.00y)
• গ. Tk.5.00(x - y)
• ঘ. Tk.7.00(x - y)

84. Last season, Ellen and Janet together won 32 tennis matches. Ellen won 6 more matches than Janet. How many matches did Ellen win?

• ক. 13
• খ. 16
• গ. 19
• ঘ. 25

85. If C/5 = R/4 = (F - 32)/9, then what will be the value of C and R if F = 140?

• ক. C = 0, R = 0
• খ. C = 60, R = 48
• গ. C = 80, R = 100
• ঘ. C = 140, R = 140

86. If y = (3x - 6)/x, then for what values of x, y will be positive?

• ক. x > 2 or x < 0
• খ. x > 0
• গ. x < 0
• ঘ. -2 < x < 2

87. If b < 2 and 2x - 3b = 0, which of the following must be true?

• ক. x > -3
• খ. x < 2
• গ. x = 3
• ঘ. x < 3

88. If x = 2y = 3z = 36 then the arithmetic mean of x, y and z is:

• ক. 33
• খ. 22
• গ. 18
• ঘ. 12

89. If x ≥ 10 and y ≤ 7, which of the following must be true?

• ক. x + y ≥ 3
• খ. x + y ≤ 7
• গ. x - y ≤ 3
• ঘ. x - y ≤ 10

90. If x + 2y = 2x + y, then x - y equal to--

• ক. 0
• খ. 2
• গ. 4
• ঘ. 5

91. A dealer had 24 mobile phones. He sold some of them at a profit of Tk.950 each and he sold the rest at a loss of Tk.500 each. If his total profit was Tk.9750, how many phones did he sell at a loss?

• ক. 6
• খ. 10
• গ. 15
• ঘ. 9

92. A 40 meters long rope is divided into two parts and the one part is 18 meters more than the other one. What is the smaller part?

• ক. 5 meters
• খ. 6 meters
• গ. 7 meters
• ঘ. 11 meters

93. Which of the following describes all values of x for which 1 - x2 ≥ 0?

• ক. x ≥ 1
• খ. x ≤ - 1
• গ. 0 ≤ x ≤ 1
• ঘ. x ≤ - 1 or x ≥ 1

94. If two non-zero positive integers p and q are such that p = 4q and p < 8, then q =?

• ক. 1
• খ. 2
• গ. 3
• ঘ. 4

95. What is the value of x if 4/x + 3/5 = 10/x?

• ক. 50
• খ. 12
• গ. 40
• ঘ. 10

96. if y/x = 1/3 and x + 2y = 10, then x is--/যদি y/x = 1/3 এবং x + 2y = 10 হয় তাহলে x = ?

• ক. 2
• খ. 3
• গ. 4
• ঘ. 6