# JEE Main Quiz: Sets, Relation And Functions Set 2

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| By Tanmay Shankar
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Tanmay Shankar
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Questions: 10 | Attempts: 146

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• 1.

### A survey shows that 60% of Indians like football whereas 76% like cricket. If X% of the Indians like both mangoes and apples, then:

• A.

15 ≤ x ≤ 19

• B.

9 ≤ x ≤ 19

• C.

6 ≤ x ≤ 7

• D.

3 ≤ x ≤ 5

B. 9 ≤ x ≤ 19
• 2.

### Let A = {a, b, c, d}. The total number of unordered pairs of disjoint subsets of A is equal to:

• A.

An ellipse

• B.

A pair of straight

• C.

A hyperbola

• D.

A parabola

D. A parabola
• 3.

### Two points X and Y in a plane are related if OX = OY, where o is a fixed point. This relation is:

• A.

Partial Order Relation

• B.

Equivalence relation

• C.

Reflexive but not symmetric

• D.

Reflexive but not transitive

B. Equivalence relation
Explanation
OX = OY, which implies that OY = OX, now as OX = OY, then if,
OY = OZ, then OX = OZ, which proves that it is an equivalence relation.

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• 4.
• A.

A is Reflexive, symmetric and transitive.

• B.

A is Reflexive, transitive but not symmetric

• C.

A is Symmetric, Transitive but not reflexive

• D.

A is neither transitive nor reflexive but symmetric

B. A is Reflexive, transitive but not symmetric
• 5.

### In a town of 10,000 families, it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy newspaper C. 5% families buy A & B, 3% buy B & C and 4% buy c and A. If 2% of families buy all the newspaper, then how many families buy newspaper A only?

• A.

3300

• B.

4100

• C.

2600

• D.

3700

A. 3300
• 6.
• A.

Reflexive but not symmetric

• B.

Reflexive but not transitive

• C.

Symmetric and transitive

• D.

Equivalence relation

A. Reflexive but not symmetric
Explanation
For any set x ∈ N, we have x/x, which implies that R is reflexive, but R is not symmetric, so that’s why x R y does not imply y R x.

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• 7.
• A.

A = B

• B.
• C.
• D.

None of these

C.
• 8.

### Let A & B are two finite sets having x and y no of elements respectively. Then the total no of mappings from A to B is:

• A.
• B.

Xy

• C.
• D.
C.
• 9.
• A.

– f(x)

• B.

3f(x)

• C.
• D.

None of these

B. 3f(x)
• 10.

### Let X be a set containing 10 distinct elements, then the total number of distinct functions from X to X is:

• A.

100

• B.
• C.
• D.
B.

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• Current Version
• Mar 21, 2023
Quiz Edited by
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• Aug 14, 2014
Quiz Created by
Tanmay Shankar

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