## CAT 2021 Exam Question Papers Slot 1 | CAT Quants

### CAT Quantitative Aptitude | CAT 2021 Question Papers

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All CAT 2021 Quantitative aptitude questions have detailed answer keys and solutions provided by our experts. Watch the videos below to learn the fastest ways to answer the questions:

f(x) = is negative if and only if

-5 < x < -2 or 3 < x < 9

-2 < x < 3 or x > 9

x < -5 or 3 < x < 9

x < -5 or -2 < x < 3

### Explanation

By taking factors of numerator and denominator, the function can be written as

f(x) =

The function will be negative if and only if one or three of the factors are negative.

When x < -5, all factors are negative. If -5 < x < - 2, only (x +5) is positive. If 3 < x < 9, only (x – 9) is negative.

Thus, f(x) = is negative if and only if -5 < x < -2 or 3 < x < 9

Ans (1)