# Mathematics Questions and Answers – Universal Set

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Universal Set”.

1. A set which is superset of all basic sets of that type?
a) Power set
b) Universal set
c) Empty set
d) Singleton set

Explanation: Universal set is the set which is a superset of all basic sets of that type.
Power set is the set of all subsets of given set. Empty set is the set which does not contain any element. Singleton set is the set that contains one element.

2. Which of the following is universal set for integers?
a) Natural numbers
b) Whole numbers
c) Rational numbers
d) Prime numbers

Explanation: Since set of rational numbers is superset for set of integers so it can be a universal set for integers. Rest are subset of integers so they can not act as the universal set for set of integers.

3. Let A={1,2}, B={2,4}, C={4,5,6}. Which of the following may be considered as the universal set for set A, B, C?
a) {1,6,7,8,9}
b) {1,2,3,4}
c) {2,4,5,6}
d) {1,2,3,4,5,6}

Explanation: Universal set is the set which is superset of all basic sets of that type.
{1,2,3,4,5,6} is the set which contains all the elements of set A, B, C.

4. Which of the following is a universal set for the equilateral triangle?
a) Set of isosceles triangles
b) Set of right triangles
c) Set of acute triangles
d) Set of obtuse triangles

Explanation: Set of isosceles triangles can be considered as universal set for set of equilateral triangles because all equilateral triangles are isosceles.

5. Which of the following is considered as universal set for squares?
a) Set of Rhombus
b) Set of Parallelogram
c) Set of Rectangle
d) Set of Trapezium

Explanation: Set of rectangles is considered as universal set for set of squares because all squares are rectangles.

6. Which of the following is universal set for {a, p}?
a) Set of vowels
b) Set of consonants
c) Set of letters of English alphabet
d) Set of numbers

Explanation: Set of letters of English alphabet can be considered as universal set for {a, p} because ‘a’ is a vowel and ‘p’ is a consonant.

7. Which of the following is considered as universal set for set of multiple of 4?
a) Set of multiple of 16
b) Set of multiple of 12
c) Set of multiple of 2
d) Set of multiple of 8

Explanation: Since every multiple of 4 is a multiple of 2 so, set of multiple of 2 is considered a set of multiple of 4.

8. U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Which of the following is not a subset of the universal set?
a) {1,2}
b) {0,1,2,3,4,5,6,7,8,9}
c) {2,3,5,7}
d) {1,2,3,4,5,6,7,8,9,10}

Explanation: In {1,2,3,4,5,6,7,8,9,10}, 10 is not present in set U. So, it is not the subset of universal set. Rest all are subsets of set U as their elements are present in universal set.

9. The set {a, b, e, i, o, u, v, z} is a universal set for a set of vowels.
a) True
b) False

Explanation: Since set {a, b, e, i, o, u, v, z} has all the vowels so it can be considered as the universal set for set of vowels.

10. The set of prime numbers is a universal set for odd numbers.
a) True
b) False 