JEE Main Quiz: Sets, Relation And Functions Set 2

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| By Tanmay Shankar

Tanmay Shankar

Community Contributor

Quizzes Created: 491 | Total Attempts: 1,842,795

Questions: 10 | Attempts: 156 | Updated: Mar 21, 2023

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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.

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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
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.

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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: