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Basics (Functions) — XAT Previous-Year Questions

3 previous-year questions on Basics (Functions) from XAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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3 questions

Basics (Functions) · XAT PYQs

XAT 2016 · QA & DI
Q1.

f is a function for which f(1) = 1 and f(x) = 2x + f(x – 1ؘ) for each natural number x ≥ 2. Find f(31).

XAT 2015 · QA & DI
Q2.

If f(x2 – 1) = x4 – 7x2 + k1 and f(x3 – 2) = x6 – 9x3 + k2 then the value of (k2 – k1) is

XAT 2015 · QA & DI
Q3.

For a positive integer x, define f(x) such that f(x + a) = f(a × x), where a is an integer and f(1) = 4. If the value of f(1003) = k, then the value of ‘k’ will be: