﻿ Engineering Entrance Exam Question and Answers | Relations and Functions - Zigya

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# Relations and Functions

#### Multiple Choice Questions

21.

Let A = {1, 2, 3} and B = {2, 3, 4}, then which of the following relations is a function from A to B ?

• {(1, 2), (2, 3), (3, 4), (2, 2)}

• {(1, 2),(2, 3), (1, 3)}

• {(1, 3), (2, 3), (3, 3)}

• {(1, 1), (2, 3), (3, 4)}

22.

If , then x is equal to

• y

• y2

• y3

• None of these

23.

The domain of the function

is

• [4, 6]

• (2, 3)

• None of these

24.

The inverse of the function f(x) =  is

25.

The number of solutions of

• 2

• 1

• 6

• 7

26.

, then f(2x) is

27.

∼ (P ∨ q) v ( ∼ p ∧ q) is logically equivalent to

• - p

• p

• q

28.

Given,  and , then fog(x) equals

• [f(x)]3

• - f(x)

• 3f(x)

• None of these

29.

Which of the following proposition is a tautology?

30.

If N denote the set of all natural numbers and R be the relation on N $×$ N defined by (a, b) R (c, d), if ad(b + c) = bc(a + d), then R is

• symmetric only

• reflexive only

• transitive only

• an equivalence relation