Allied & ICAR Exam Bank • ALLIED_2514 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

If $f(x)$ satisfies $2f(x) + 3f(-x) = 15 - 4x$ for all real $x$, the value of $f(2)$ is:

Answer Key:

11

Step-by-Step Solution & Explanation

For $x = 2$: $2f(2) + 3f(-2) = 7$. For $x = -2$: $3f(2) + 2f(-2) = 23$. Solving simultaneous equations gives $f(2) = 11$.
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