CAT 2019 Functions Question (Hard)

Question

For any positive integer n, let f n n n 1 if n is even, and f n n 3 if n is odd. If m is a positive integer such that 8f m 1 - f m 2, then m equals TITA

Accepted Answer

Step 1 We are given a piecewise function - If is even - If is odd We are told We need to find the positive integer satisfying this equation. Step 2 We ll try values of starting from a small number, checking for when the equation holds true. Try even Then is odd, so Now compute This satisfies the equ

CAT 2019

Quantitative

Functions

Hard

For any positive integer n, let f(n) = n(n + 1) if n is even, and f(n) = n + 3 if n is odd. If m is a positive integer such that 8f(m + 1) - f(m) = 2, then m equals [TITA]

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