JEE MATHS UNIT 1 SETS, RELATIONS AND FUNCTIONS
QUIZ NO 4
TOTAL QUESTIONS = 20
1. If n(A) = 5 and n(B) = 3, then the number of functions from A to B is
A. 81
B. 15
C. 243
D. 125
2. The number of one-one functions from set A = {1, 2, 3} to B = {a, b, c} is
A. 9
B. 6
C. 8
D. 3
3. If A = {1, 2, 3} and B = {3, 4, 5}, then A ∩ B is
A. {3}
B. {4}
C. {1, 2}
D. {2, 3}
4. The union of two sets A = {1, 2} and B = {2, 3} is
A. {1, 2}
B. {1, 3}
C. {2, 3}
D. {1, 2, 3}
5. The range of the function f(x) = x² - 4 is
A. [0, ∞)
B. (-∞, -4]
C. (-∞, ∞)
D. [-4, ∞)
6. The function f(x) = x^2 is an example of which type of function?
A. onto function
B. many-one function
C. one-one function
D. bijective function
7. The intersection of sets A and B is the set of elements
A. in both A and B
B. in A or B
C. in A but not in B
D. in B but not in A
8. If A = {1, 2, 3} and B = {3, 4, 5}, then A - B is
A. {3, 4}
B. {4, 5}
C. {1, 2}
D. {2, 3}
9. In a college of 300 students, every student reads 5 newspapers, and every newspaper is read by 60 students. The number of newspapers is
A. 20
B. 35
C. 25
D. 30
10. Which of the following is a subset of the set {a, b, c}?
A. {a, c, d}
B. {b, c, d}
C. {d, e, f}
D. {a, b}
11. If A and B are two sets such that A ⊆ B, then A ∩ B is equal to
A. None of these
B. A ∪ B
C. B
D. A
12. A function f: A → B is onto if
A. every element of A has an image in B
B. every element of B has a pre-image in A
C. none of these
D. some elements of B have no pre-image in A
13. If A = {x : x is a natural number less than 6}, then A is
A. {2, 3, 4, 5}
B. {1, 2, 3, 4, 5}
C. {0, 1, 2, 3, 4}
D. {1, 2, 3, 5, 6}
14. What is the universal set in the context of sets?
A. the set containing no elements
B. the set containing only one element
C. the set containing all elements
D. the set containing only prime numbers
15. The relation R on A = {1, 2, 3} defined by R = {(1, 2), (2, 3), (1, 3)} is
A. Symmetric but not transitive
B. Reflexive but not symmetric
C. Reflexive and symmetric
D. Transitive but not symmetric
16. The number of elements in the Cartesian product A × B if n(A) = 3 and n(B) = 2 is
A. 3
B. 6
C. 2
D. 5
17. The number of elements in the power set of a set with 3 elements is?
A. 3
B. 8
C. 6
D. 9
18. If A = {1, 2, 3} and B = {4, 5}, then the total number of subsets of A × B is
A. 32
B. 16
C. 128
D. 64
19. A function f: A → B is one-one if
A. the same element in A maps to different elements in B
B. different elements in A map to different elements in B
C. different elements in A map to the same element in B
D. none of these
20. If A = {(x, y) : x² + y² = 25} and B = {(x, y) : x² + 9y² = 144}, then A ∩ B contains how many points?
A. 2
B. 3
C. 4
D. 5
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