Allied & ICAR Exam Bank • ALLIED_2323 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

If the roots of the quadratic equation $x^2 - bx + c = 0$ are two consecutive integers, then the discriminant $b^2 - 4c$ must be:

Options:

  • (A) 1
  • (B) 0
  • (C) 2
  • (D) 4

Answer Key:

A

Step-by-Step Solution & Explanation

Let roots be $n$ and $n+1$. Difference of roots $= 1 = \frac{\sqrt{b^2 - 4c}}{a} = \sqrt{b^2 - 4c} \implies b^2 - 4c = 1$.
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