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Functions

Functions

MODULES

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Relations & Functions
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Domain, Codomain & Range
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Basics of Functions
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Quadratic & Log
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Minimum & Maximum
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Box & Composite Functions
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Sequences & Patterns
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Piecewise & Non-Standard Input
Past Questions

CONCEPTS & CHEATSHEET

Concept Revision Video

SPEED CONCEPTS

Functions 1
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Functions 2
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PRACTICE

Functions : Level 1
Functions : Level 2
Functions : Level 3
ALL MODULES

CAT 2025 Lesson : Functions - Past Questions

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5. Past Questions

Question 1

If a1 =1and an+1 – 3an +2 = 4n for every positive integer n, then a100 equals
[CAT 2005]

399 – 200
399 + 200
3100 – 200
3100 + 200

Answer: (3) 3100 – 200

Question 2

f(x+2) = f(x) + f(x+1) for all positive integers x, and f(11) = 91, f(15) = 617, then f(10) equals
[CAT 2018 Shift 1]

Answer: 54

Question 3

For all non-negative integers x and y, f(x, y) is defined as below
f(0,y) = y + 1
f(x + 1, 0) = f(x, 1)
ff(x + 1, y + 1) = f(x,f(x + 1, y))
Then, what is the value of f(1, 2)?
[CAT 2000]

Two
Four
Three
Cannot be determined

Answer: (2) Four

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