List of top Quantitative Ability and Data Interpretation Questions on Quadratic Equation asked in CMAT

Match List I with List II :

List I (Quadratic equations)	List II (Roots)
(A) \(12x^2 - 7x + 1 = 0\)	(I) \((-13, -4)\)
(B) \(20x^2 - 9x + 1 = 0\)	(II) \(\left(\frac{1}{3}, \frac{1}{4}\right)\)
(C) \(x^2 + 17x + 52 = 0\)	(III) \((-4, -\frac{3}{2})\)
(D) \(2x^2 + 11x + 12 = 0\)	(IV) \(\left(\frac{1}{5}, \frac{1}{4}\right)\)

Choose the correct answer from the options given below :

If the roots of the equation px² + x + r = 0 are reciprocal to each other, then which one of the following is correct?

If \(x^2-3x+2\) is a factor of \(x^4-px+q\), then \((p,q)\) =

Which of the following statements regarding quadratic equations are true?
(A) Solution set for the equation 6x²-5x=4 is \(\{-\frac{1}{2},\frac{4}{3}\}\).
(B) The nature of the roots of the equation 9x²+6x+1=0 is equal, real and rational.
(C) If one root of 4x²-3x+K=0 is 3 times the other, then \(K=\frac{27}{256}\)
Choose the correct answer from the options given below:

If f(x) = \(x\)³−4\(x\) \(+\)P and f(0) and f(1) are of opposite signs, Which one of the following is necessarily true?