বীজগণিত

76. ax² + b এর মান x = 1 হলে 1 এবং x = 3 হলে 25 হয়। x = 2 হলে এর মান কত?

• ক. 5
• খ. 10
• গ. 15
• ঘ. 20

77. f(x) = 2x² + 3x - 1 হলে f(0) = কত?

• ক. 6
• খ. 4
• গ. 1
• ঘ. -1

78. 3x যদি 15 থেকে 3(Three) বেশি হয়, তাহলে 3x + 2 = কত?

• ক. 17
• খ. 18
• গ. 20
• ঘ. 21

79. x > y এবং z < o হলে নিচের কোনটি সঠিক?

• ক. xz > yz
• খ. x/z > y/x
• গ. z/x > z/y
• ঘ. x/z < yz

80. 5p - 3q = 42; 5p + 3q = 18 Given this systems of equations, what is the value of |p| + |q|?

• ক. 2
• খ. 4
• গ. 6
• ঘ. 10

81. If 2x - y = 10 and x/y = 3, then x = ?

• ক. a - 10
• খ. 2
• গ. 4
• ঘ. 6

82. If 4x - 3y = 13 and 5x + 2y = -1, then x = ?

• ক. -3
• খ. -1
• গ. 1
• ঘ. 3

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

• ক. -12
• খ. -6
• গ. 6
• ঘ. 12

84. Luke drives the first 300 miles of a trip at 60 miles an hour. How fast does he have to drive, in miles per hour, on the final 200 miles of the trip if the total time of the trip is to equal 7 hourns?

• ক. 100
• খ. 110
• গ. 115
• ঘ. 120

85. If Michael can shovel all the snow of a standard driveway in 12 minutes, and Emon can shovel all the snow of a standard driveway in 36 minutes, then working together, how many minutes would it take for them both to shovel all the snow of a standard drivew

• ক. 5
• খ. 9
• গ. 15
• ঘ. 18

86. Of the following list of numbers, which has the greatest standard deviation?

• ক. 1,2,3
• খ. 6,8,10
• গ. 2,4,6
• ঘ. 4,7,10

87. A container holds 4 quarts of chemical and 4 quarts of water. How many quarts of water must be added to the container to create a mixture that is 3 parts chemical to 5 parts water by volume?

• ক. 4/3
• খ. 5/3
• গ. 7/3
• ঘ. 8/3

88. Sue planted 4 times as many apple seeds as she planted orange seeds. 15% of the apple seeds grew into trees, and 10% of the orange seeds grew into trees. If a total of 420 apple trees and orange trees grew from the seeds, how many orange seeds did sue pla

• ক. 540
• খ. 600
• গ. 660
• ঘ. 720

89. If y exceeds x by 20%, then x is less than y by :

• ক. 16%
• খ. 16.33%
• গ. 16.67%
• ঘ. 16.60%

90. In the coordinate plane, line m passes through the origin and has a slope of 3. If points (6,y) and (x,12) are on line m, then y - x = ?

• ক. 14
• খ. 18
• গ. 22
• ঘ. 26

91. If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5, then what is the value of m?

• ক. -22.5
• খ. 16
• গ. -17.5
• ঘ. 10.5

92. The average of several exam scores is 80. One make-up exam was given. Included with the other scores, the new average was 84. If the score on the make up exam was 92, how many total exams were give?

• ক. 3
• খ. 2
• গ. 4
• ঘ. 5

93. A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have on exactly 2 sides>

• ক. 13
• খ. 27
• গ. 30
• ঘ. 12

94. A man spent 1/2 of his money and then lost 1/4 of the remainder. He was left with TK. 3600. How much did he start with?

• ক. 7200
• খ. 8800
• গ. 9600
• ঘ. 10400

95. If 3x - 5y = 5 and x/x+y = 5/7 then what is the value of x - y is -

• ক. -3
• খ. 3
• গ. 6
• ঘ. 9

96. If f(x) = x/x-2 then value of f^-1 (2)?

• ক. -3
• খ. 3
• গ. 4
• ঘ. 5

97. What is factor of x³ - 3x² + 4x - 4?

• ক. (x - 2) (x² - x + 2)
• খ. (x - 2) (x² + x - 2)
• গ. (x - 2) (2x² - x + 4)
• ঘ. (x² - 2) (x + 2x + 4)

98. চলক এর বৈশিষ্ট্য কোনটি?

• ক. মান নির্দিষ্ট
• খ. প্রতীক ব্যবহার করা যায় না
• গ. মান নির্দিষ্ট নয়
• ঘ. খ ও গ উভয়ই

99. একটি ফাংশন f : R - R, f(x) = 2x + 1 দ্বারা সংজ্ঞায়িত হলে f^-1 (2) এর মান কত?

• ক. 0
• খ. 1/2
• গ. 5
• ঘ. 1

100. দুই অঙ্কবিশিষ্ট একটি সংখ্যার দশক স্থানীয় অঙ্ক একক স্থানীয় অঙ্কের দ্বিগুণ। একক স্থানীয় অঙ্ক ২ হলে, মূল সংখ্যার সাথে স্থান বিনিময়কৃত সংখ্যার পার্থক্য কত?

• ক. ২৮
• খ. ৩৬
• গ. ১০
• ঘ. ১৮