Allied & ICAR Exam Bank • ALLIED_2200 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

Let $f(x) = x^2 - 4x + 7$. The minimum value of $f(x)$ for all real $x$ is:

Answer Key:

3

Step-by-Step Solution & Explanation

Completing square: $f(x) = (x - 2)^2 + 3$. Minimum value is 3 at $x = 2$.
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