JEE Main Quiz: Sets, Relation And Functions Set 2

Approved & Edited by ProProfs Editorial Team

The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.

Learn about Our Editorial Process

| By Tanmay Shankar

Tanmay Shankar

Community Contributor

Quizzes Created: 491 | Total Attempts: 1,782,797

Questions: 10 | Attempts: 138 | Updated: Mar 21, 2023

Questions

Settings

Create your own Quiz

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

Questions and Answers

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
Correct Answer
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
Correct Answer
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
Correct Answer
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.

Rate this question:
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
Correct Answer
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
Correct Answer
A. 3300
6.
- A.
  
  Reflexive but not symmetric
- B.
  
  Reflexive but not transitive
- C.
  
  Symmetric and transitive
- D.
  
  Equivalence relation
Correct Answer
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.

Rate this question:
7.
- A.
  
  A = B
- B.
- C.
- D.
  
  None of these
Correct Answer
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.
Correct Answer
C.
9.
- A.
  
  – f(x)
- B.
  
  3f(x)
- C.
- D.
  
  None of these
Correct Answer
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.
Correct Answer
B.

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Mar 21, 2023

Quiz Edited by
ProProfs Editorial Team
Aug 14, 2014

Quiz Created by
Tanmay Shankar

JEE Main Quiz: Sets, Relation And Functions Set 2

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

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

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

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?

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:

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