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
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)