JEE MATHS UNIT 1 SETS, RELATIONS AND FUNCTIONS
QUIZ NO 3
TOTAL QUESTIONS = 20
1. If f: R → R is defined by f(x) = x³, then f is
A. one-one
B. bijective
C. onto
D. none of these
2. If n(A) = 5 and n(B) = 3, then the total number of relations from A to B is
A. 243
B. 125
C. 32
D. 15
3. The number of subsets of a set containing 4 elements is
A. 32
B. 16
C. 8
D. 4
4. Which of the following is an example of a relation that is not reflexive?
A. R = {(1, 2), (2, 1)}
B. R = {(1, 1)}
C. R = {(1, 2), (3, 4)}
D. R = {(1, 1), (2, 2)}
5. If A = {x : x² ≤ 9, x ∈ R}, then A is
A. {-3, -2, -1, 1, 2, 3}
B. {-3, 3}
C. {-2, -1, 0, 1, 2}
D. {-3, -2, -1, 0, 1, 2, 3}
6. If A = {1, 2, 3, 4, 5} and R = {(x, y) : x ≤ y}, then the relation R is
A. Neither symmetric nor reflexive
B. Reflexive but not symmetric
C. Symmetric but not transitive
D. Reflexive and transitive
7. A relation R on a set A is called reflexive if
A. for every a, b ∈ A, (a, b) ∈ R
B. for every a ∈ A, (a, a) ∈ R
C. none of these
D. for every a, b ∈ A, (b, a) ∈ R
8. If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7}, then A ∪ B is
A. {1, 2, 3, 4, 5, 6, 7}
B. {6, 7}
C. {4, 5, 6, 7}
D. {1, 2, 3, 4, 5}
9. The set of all even integers is an example of which type of set?
A. finite set
B. infinite set
C. singleton set
D. empty set
10. If f(x) = x + 2 and g(x) = 2x, then (f∘g)(x) is
A. 2x + 4
B. 2x + 2
C. 4x + 2
D. x + 4
11. The power set of a set with n elements has how many elements?
A. 2ⁿ
B. n
C. 2²ⁿ
D. 2n
12. The complement of the universal set is
A. Subset of universal set
B. None of these
C. Empty set
D. Universal set
13. The power set of a set with 2 elements has
A. 4 elements
B. 16 elements
C. 8 elements
D. 2 elements
14. If A = {1, 2, 3} and B = {2, 3, 4}, then A ∪ B is
A. {2, 3}
B. {3, 4}
C. {1, 2, 3, 4}
D. {1, 2}
15. If A = {x : x is a natural number less than 5}, then A is
A. {2, 3, 4, 5}
B. {1, 2, 3, 4, 5}
C. {0, 1, 2, 3, 4}
D. {1, 2, 3, 4}
16. A function is said to be onto if?
A. each element of the domain is mapped to a unique element in the codomain
B. every element of the range corresponds to an element in the domain
C. every element of the domain has a unique image in the codomain
D. every element of the codomain has a pre-image
17. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {1, 2, 3, 4}. Then the complement of A is
A. {1, 2}
B. {3, 4, 5}
C. {4, 5, 6}
D. {5, 6, 7, 8, 9}
18. What is the cardinality of the set {1, 2, 3, 4, 5}?
A. 4
B. 6
C. 5
D. 3
19. The relation R = {(1, 2), (2, 3), (3, 4)} is an example of a?
A. transitive relation
B. symmetric relation
C. reflexive relation
D. antisymmetric relation
20. If A = {x : x is an even number less than 10}, then A is
A. {2, 4, 6, 8}
B. {2, 6, 9}
C. {4, 6, 10}
D. {1, 3, 5}
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