Allied & ICAR Exam Bank • ALLIED_2517 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

If $a + b = 5$ and $ab = 6$, the value of $a^4 + b^4$ is:

Answer Key:

97

Step-by-Step Solution & Explanation

$a^2 + b^2 = 25 - 12 = 13$. $a^4 + b^4 = (a^2 + b^2)^2 - 2(ab)^2 = 169 - 2(36) = 169 - 72 = 97$.
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