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600
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1. If A = Φ , n(B) = 4 then n(A x B) is
A. 0
B. 5
C. 1
D. 4
2. If A = {-1, 1, 2}, then n(A x A x A) =
A. 9
B. 16
C. 27
D. 3
3. If A ={1, 2, 3, 4}, B = {2, 3} then find n = A ∪ B
A. 16
B. 4
C. 8
D. 6
4. Given A = {1, 2} and B = {5, 6, 7} then A x B =
A. Φ
B. {(5, 1), (5, 2), (6, 1), (6, 2), (7, 1), (7, 2)}
C. {(1, 5), (1, 6), (1, 7), (2, 5), (2, 6), (2, 7)}
D. { 1, 6), (1, 7), (2, 5), (2, 6), (2, 7)}
5. If A ={3, 5},then A x A x A is
A. {(3, 3, 3), (5, 5, 5)}
B. {(3, 3, 3), (3, 3, 5), (3, 5, 3), (5, 5, 5)}
C. {(3, 3), (3, 5), (5, 3), (5, 5)}
D. {(3, 3, 3), (3, 3, 5), (3, 5, 3), (5, 3, 3), (3, 5, 5), (5, 3, 5), (5, 5, 3), (5, 5, 5) }
6. If A = {3, 4} and B = {5, 6} then B x A is
A. {(5, 3), (5, 4), (6, 3), (6, 4)}
B. {(3, 5), (3, 6), (4, 5), (4, 6)}
C. {3, 4, 5, 6}
D. Φ
7. If (x – 1, y + 1 ) = (5, 6), then the value of x and y is given by
A. x = 5, y = 5
B. x = 6, y = 5
C. x = 5, y = 6
D. x = 0, y = 0
9. If n(A) = 3, n(B) = 2 and if (x, 4), (y, 5), (z, 4) are three distinct elements of A x B, then
A. A = {x, y, z} and B = {4, 5}
B. A = {4, x, y} and B = {5, z}
C. A ={y, z, 5} and B = {x, 4}
D. A = {4, 5} and B = {x, y, z}
10. If A × B = {(x, a), (x, b), (y,a), (y, b)} then A =
A. {x,y}
B. {a,b}
C. {x,x,y,y}
D. {x,a}
11. If A = {2, 4} and B = {5, 6} then A x B ∪ Φ will be:
A. {(2, 5), (2, 6), (4, 5), (4, 6)}
B. Φ
C. {(2, 5), (4, 6)}
D. {2, 4, 5, 6}
12. If n(A) = 3 and n(B) =4 then find the number of elements in the power set of A × B
A. 64
B. 24
C. 4096
D. 8
13. If ordered pair (a + 2b, 9) = (7, 3a + 2b), then the values of a and b are
A. 9, 7
B. 1, 3
C. 7, 9
D. 3, 1
14. If set A has 4 elements and B = {5, 6}, then the number of elements in A x B are
A. 9
B. 8
C. 7
D. 10
16. If A = {2, 5, 6}, B = {1, 2}, C = {1, 3, 6}, then A (B ∩ C) is
A. {(2, 1), (5, 1), (6, 1)}
B. {(2, 3), (5, 3), (6, 3)}
C. {(2, 2), (5, 5), (6, 6)}
D. {(2, 6), (5, 6), (6, 6)}
17. If A = {1, 3, 6}, B = {4, 8} then A x A is
A. {(1, 3), (1, 6), (3, 1) {(3, 6), (6, 1), (6, 3)}
B. {(1, 1), (1, 3), (1, 6), {(3, 1), (3, 3), (3, 6), {(6, 1), (6, 3), (6, 6)}
C. {(1, 4), (1, 8), (3, 4), {(3, 8), (6, 4), (6, 8)}
D. {(1, 1), (3, 3), (6, 6)}
18. If (x + 2, y - 2) = (3, 1) then the values of x and y are:
A. 3, 5
B. 1, -3
C. 5, 3
D. 1, 3
19. If A = {1, 2, 3, 4}, B = {3, 4} and C = {2, 3} then n ((A ∩ B x C)
A. 2
B. 8
C. 4
D. 16
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