Engineering Questions with Answers - Multiple Choice Questions
MCQs on Types of Set
1 - Question
{x: x is an integer neither positive nor negative} is ________ a) Empty set b) Non-empty set c) Finite set d) Non- empty and Finite set
View Answer
Answer: d
Explanation: Set = {0} non-empty and finite set.
2 - Question
{x: x is a real number between 1 and 2} is an ________
a) Infinite set
b) Finite set
c) Empty set
d) None of the mentioned
View Answer
Answer: a
Explanation: It is an infinite set as there are infinitely many real number between any two different real numbers.
3 - Question
Write set {1, 5, 15, 25,…} in set-builder form.
a) {x: either x=1 or x=5n, where n is a real number}
b) {x: either x=1 or x=5n, where n is a integer}
c) {x: either x=1 or x=5n, where n is an odd natural number}
d) {x: x=5n, where n is a natural number}
View Answer
Answer: c
Explanation: Set should include 1 or an odd multiple of 5.
4 - Question
. Express {x: x= n/ (n+1), n is a natural number less than 7} in roster form.
a) {1⁄2, 2⁄3, 4⁄5, 6⁄7}
b) {1⁄2, 2⁄3, 3⁄4, 4⁄5, 5⁄6, 6⁄7, 7⁄8}
c) {1⁄2, 2⁄3, 3⁄4, 4⁄5, 5⁄6, 6⁄7}
d) Infinite set
View Answer
Answer: c
Explanation: n/(n+1) = 1/(1+1) = 1⁄2 and n>7.
5 - Question
Number of power set of {a, b}, where a and b are distinct elements.
a) 3
b) 4
c) 2
d) 5
View Answer
Answer: b
Explanation: Power set of {a, b} = {∅, {a, b}, {a}, {b}}.
6 - Question
Which of the following is subset of set {1, 2, 3, 4}?
a) {1, 2}
b) {1, 2, 3}
c) {1}
d) All of the mentioned
View Answer
Answer: d
Explanation: There are total 16 subsets.
7 - Question
A = {∅,{∅},2,{2,∅},3}, which of the following is true?
a) {{∅,{∅}} ∈ A
b) {2} ∈ A
c) ∅ ⊂ A
d) 3 ⊂ A
View Answer
Answer: c
Explanation: Empty set is a subset of every set.
8 - Question
Subset of the set A= { } is?
a) A
b) {}
c) ∅
d) All of the mentioned
View Answer
Answer: d
Explanation: Every set is subset of itself and Empty set is subset of each set.
9 - Question
. {x: x ∈ N and x is prime} then it is ________
a) Infinite set
b) Finite set
c) Empty set
d) Not a set
View Answer
Answer: a
Explanation: There is no extreme prime, number of primes is infinite.
10 - Question
Convert set {x: x is a positive prime number which divides 72} in roster form.
a) {2, 3, 5}
b) {2, 3, 6}
c) {2, 3}
d) {∅}
View Answer
Answer: c
Explanation: 2 and 3 are the divisors of 72 which are prime.