81. What is the diameter (in cm) of a sphere with a surface area of 154 square cm?
Answer: 7
82. A solid cylinder with a radius of 7 cm and a height of 20 cm is divided into two equal cylinders by cutting it along its height. What is the percentage increase in the total surface area?
Answer: 29.78
83. What is the probability of getting an even number when a die is thrown?
Answer: 1/2
84. What is the probability of drawing a red card from a deck of 52 playing cards?
Answer: 1/2
85. What is the median of the following numbers: 7, 18, 6, 9, 4, 15, 21, 14, 26?
Answer: 14
86. What is the mode of the given series? 4, 3, 7, 13, 16, 23, 3, 4, 7, 4, 3, 3, 9, 6, 9, 6
Answer: 4
87. If sinA = 24/25, then find the value of tanA/cosA
Answer: 24 x 7 / 49
88. What is the value of cot210°?
Answer: 1/√3
89. The interior angle of a regular polygon is 120 degrees more than each exterior angle. How many sides does the polygon have?
Answer: 8
90. The graph of the polynomial p(x) = 3x – 2 is a straight line that intersects the x-axis at exactly one point, that is
Answer: (2/3, 0)
91. The graph of the polynomial ax² + bx + c is an upward parabola if
Answer: a > 0
92. If the sum of the roots of the polynomial f(x) = 2x³ – 3kx² + 4x – 5 is 6, what is the value of k?
Answer: 4
93. A quadratic polynomial whose sum of roots is 2 and product is 1, is given by
Answer: x² – 2x + 1
94. The sum and product of the roots of the polynomial 6x² – 5 are, respectively:
Answer: 0, -6/5
95. If a = 10 and d = 10, what will be the first four terms of the sequence?
Answer: 10, 20, 30, 40
96. Which term of the AP 3, 8, 13, 18, … is 78?
Answer: 15th
97. If the second term of an AP is 13 and the fifth term is 25, what is its seventh term?
Answer: 37
98. If a + b + c = 9 and ab + bc + ca = 23, then a² + b² + c² =
Answer: 35
99. In the figure below, the number of roots of the polynomial f(x) is:
Answer: 3
100. A system of three linear equations in three variables is inconsistent if their planes:
Answer: Do not intersect