CAT 2019 Linear and Quadratic Equations Question (Hard)

Question

What is the largest positive integer such that n 2 - 4n - 21 is also a positive integer?

Accepted Answer

To solve the problem, we need to find the largest positive integer such that the expression n 2 - 4n - 21 is also a positive integer. Let s break this down step-by-step 1. Factor the numerator and denominator - The numerator is . We can factor this as n 2 9n 20 n 4 n 5 - The denominator is . We can

CAT 2019

Quantitative

Linear and Quadratic Equations

Hard

What is the largest positive integer $n$ such that
$\frac{n^2 + 9n + 20}{n^2 - 4n - 21}$
is also a positive integer?

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