Question 13/20: Set 1 - Try Out 2026 - Quantitative Knowledge (SNBT)

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Functions $f$ and $g$ are defined as $f(x) = \frac{x-a}{x+a}$ for $x \neq -a$ and $g(x) = bx^2 - x + 2$ . Is $\frac{g(-2)}{f(-2)} > 0$ ?

Decide whether statements $(1)$ and $(2)$ below are sufficient to answer the question.

(1) \quad a < 5 \text{ and } b < 5

Statement $(1)$ ALONE is sufficient, but statement $(2)$ ALONE is not sufficient

Statement $(2)$ ALONE is sufficient, but statement $(1)$ ALONE is not sufficient

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient

EACH statement ALONE is sufficient

Statements $(1)$ and $(2)$ TOGETHER are NOT sufficient

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