Allied & ICAR Exam Bank • ALLIED_1882 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

The range of the function $f(x) = \frac{x^2}{1 + x^2}$ for all real $x$ is:

Options:

  • (A) $[0, 1)$
  • (B) $[0, 1]$
  • (C) $(0, 1)$
  • (D) $[0, \infty)$

Answer Key:

A

Step-by-Step Solution & Explanation

Since $x^2 \ge 0$, $f(x) \ge 0$. As $x \to \infty$, $f(x) \to 1$ but never reaches 1. Thus range is $[0, 1)$.
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