Allied & ICAR Exam Bank • ALLIED_2482 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

The minimum value of the quadratic function $f(x) = 2x^2 - 12x + 25$ for all real $x$ is:

Answer Key:

7

Step-by-Step Solution & Explanation

Vertex occurs at $x = -b/(2a) = 12/4 = 3$. Minimum value $f(3) = 2(9) - 12(3) + 25 = 18 - 36 + 25 = 7$.
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