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