HomeMath Class 11Sets MCQ test 1 Sets MCQ test 1 Set 11 CBSE - MCQ test 1 Q1. The cartesian product of two sets P and Q can be written as P.Q PXQ 1.PQ None of these Q2. If A = { 1, 3, 5} and B = {2, 3}, then Find: A × B [{2, 1},{2, 3},{2, 5},{3, 1},{3, 3},{3, 5}] [{1, 2},{1, 3},{3, 2},{3, 3},{5, 2},{5, 3}] 6 None of these Q3. If : (𝒙5,𝒚+1)=(32,∛27) , then : (𝒙,𝒚)=...... (2,3) (32,27) (2,2) (5,2) Q4. What will be Cardinality of Cartesian product of a non empty set with a set containing element Φ? A={1,2,3} and B={Φ} 0 3 6 9 Q5. If A = {-1, 1, 2}, then n(A x A x A) = 9 16 27 3 Q6. If A ={3, 5},then A x A x A is...... {(3, 3), (3, 5), (5, 3), (5, 5)} {(3, 3, 3), (3, 3, 5), (3, 5, 3), (5, 3, 3), (3, 5, 5), (5, 3, 5), (5, 5, 3), (5, 5, 5) } {(3, 3, 3), (3, 3, 5), (3, 5, 3), (5, 5, 5)} {(3, 3, 3), (5, 5, 5)} Q7. If A = {3, 4} and B = {5, 6} then B x A is....... {(5, 3), (5, 4), (6, 3), (6, 4)} {(3, 5), (3, 6), (4, 5), (4, 6)} {3, 4, 5, 6} Φ Q8.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 = {4, x, y} and B = {5, z} A = {x, y, z} and B = {4, 5} A ={y, z, 5} and B = {x, 4} A = {4, 5} and B = {x, y, z} Q9. If A × B = {(x, a), (x, b), (y,a), (y, b)} then A =........ {a,b} {x,y} {x,x,y,y} {x,a} Q10. If n(A) = 3 and n(B) =4 then find the number of elements in the power set of A × B 64 24 4096 8 Q11. If two sets A and B have 99 elements in common, then the number of elements common to each of the sets A x B and B x A are 2^99 99^2 100 18 Q12. If set A has 4 elements and B = {5, 6}, then the number of elements in A x B are ......... 4 8 12 16 Q13. If A = {1, 3, 6}, B = {4, 8} then A x A is ........ {(1, 3), (1, 6), (3, 1), (3, 6), (6, 1), (6, 3)} {(1, 4), (1, 8), (3, 4), {(3, 8), (6, 4), (6, 8)} {(1, 1), (3, 3), (6, 6)} {(1, 1), (1, 3), (1, 6), (3, 1), (3, 3), (3, 6), (6, 1), (6, 3), (6, 6)} Q14. If the ordered pairs (x, – 1) and (5, y) belong to the set {(a, b): b = 2a – 3}, find the values of x and y. x = 2 and y = 5 x = 1 and y = 7 x = 3 and y = 3 None of these Q15. Given A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6}, find (A x B) ∩ (B x C). {(3, 4)} {(3, 4),(1, 4)} (3, 4),(5, 4) None of these Q16.If set A = {2, 4, 6}, B = {8, 9} and C = {7, 8}, then find the relation A × (B ∩ C) {(2,8), (4,8), (6,8)} {(2,7), (4,7), (6,7)} {(2,9), (4,9), (6,9)} None of these Q17. For the two non-empty sets A and B, the cartesian product A × B = B × A. True False Q18. The cartisian product of PXP has 16 elements,among which are found (a,1) and (b,2) then the setP is...... {a,b} {a,b,1,2} {1,2} None of these Q19. The Cartesian product of sets A and B is: A x B = {(a,b), a ∈ B and b ∈ A} True False Q20. If P X Q is an empty set then which of the following is a null set? only P only Q either P or Q None of these Submit Your Answers Newer Older