Allied & ICAR Exam Bank • ALLIED_1369 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

If $\alpha$ and $\beta$ are the roots of the quadratic equation $x^2 - 7x + 12 = 0$, the value of $\alpha^2 + \beta^2$ is:

Options:

  • (A) 25
  • (B) 37
  • (C) 49
  • (D) 24

Answer Key:

A

Step-by-Step Solution & Explanation

$\alpha + \beta = 7$, $\alpha \beta = 12$. $\alpha^2 + \beta^2 = (\alpha+\beta)^2 - 2\alpha\beta = 49 - 24 = 25$.
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