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If A 1 2 3 4 B A B And F Is A Mapping Such That F A B Then A B Is

1) {(a, 1), (3, b)} 2) {(a, 2), (4, b)} 3) {(1, a), (1, b), (2, a), (2, b), (3, a), (3, b), (4, a), (4, b)} 4) None of these Solution: (3)... View Article

What Is The Number Of Elements In The Set A B 2a 2 Plus 3b 2 35 A B Belongs To Z Where Z Is The Set Of All Integer

1) 2 2) 4 3) 8 4) 12 5) 16 Solution: (3) 2a2 + 3b2 = 35 3b2 = 35 - 2a2 Maximum value on RHS is 35. 3b2 ≤ 35 b2 ≤ 11.66 b = 0, ± 1,... View Article

If N A 4 N B 3 A B C 24 Then N C

1) 288 2) 1 3) 12 4) 17 5) 2 Solution: (5) n (A × B × C) = n (A) × n (B) × n (C) n (C) = [24/ [4 × 3]] = 2... View Article

In A Class Of 30 Pupils 12 Take Needlework 16 Take Physics And 18 Take History If All The 30 Students Take At Least One Subject And No One Takes All Three Then The Number Of Pupils Taking 2 Subjects Is

1) 16 2) 6 3) 8 4) 20 Solution: (1) N - pupils who take needlework P - pupils who take physics H - pupils who take history n (N ∪ P ∪... View Article

3 Sets A B C Are Such That A B Intersection Of C And B C Intersection Of A Then

1) A ⊂ B 2) A ⊃ B 3) A ≡ B 4) A ⊂ B’ Solution: (3) A = B ∩ C and B = C ∩ A, then A ≡ B.... View Article

A 1 2 3 And B 3 8 Then A Union Of B A Intersection Of B Is

1) {(3,1), (2, 3), (3,3), (3, 8)} 2) {(1, 3), (2, 3), (3,3), (8, 3)} 3) {(1, 2), (2,3), (3,3), (8, 8)} 4) {(8, 3), (8, 2), (8, 1), (8, 8)}... View Article

If 1 3 2 5 And 3 3 Are Three Elements Of A B And The Total Number Of Elements In A B Is 6 Then The Remaining Elements Of A B Are

1) (1, 5); (2, 3); (3, 5) 2) (5, 1); (3,2); (5, 3) 3) (1, 5); (2, 3); (5, 3) 4) None of these Solution: (1) A × B = 6 A has 3 elements... View Article

If A 1 2 4 B 2 4 5 C 2 5 Then A C B C Is

1) {(1, 2), (1, 5), (2, 5)} 2) {(1, 4), (4, 4)} 3) (1, 4) 4) None of these Solution: (2) A = {1, 2, 4}, B = {2, 4, 5}, C = {2, 5} A − C =... View Article

If A B C Are 3 Sets Then A Intersection Of B Union Of C Is Equal To

1) (A ∪ B) ∩ (A ∪ C) 2) (A ∩ B) ∪ (A ∩ C) 3) (A ∪ B) ∪ (B ∪ C) 4) None of these Solution: A ∩ (B ∪ C) is the same as taking the... View Article

If A B And C Are Three Sets A B Intersection Of C Is Equal To

1) (A - B) ⋃ (A - C) 2) (A - B) ∩ (A - C) 3) (A - B) ⋃ C 4) (A - B) ∩ C Solution: (1) According to De’Morgan’s Law, A - (B ∩ C) = (A - B)... View Article

Let A And B Be Two Sets In The Universal Set Then A B Equals

1) A ∩ B’ 2) A’ ∩ B 3) A ∩ B 4) None of these Solution: (1) A – B = A ∩ B’... View Article

If A And B Be Subsets Of A Set X Then

1) A - B = A ⋃ B 2) A - B = A ∩ B 3) A - B = Ac ∩ B 4) A - B = A ∩ Bc Solution: (4) A - B = {x : x ∈ A and x ∉ B} = {x : x ∈ A and x ∈... View Article

If A And B Are Two Sets Then A Intersection B Dash Is Equal To

1) A' ∩ B' 2) A' U B' 3) A ∩ B 4) A U B Solution: (2) According to De’Morgan’s Law, (A ∩ B)' = A' U B'... View Article

If A And B Are Two Sets Then A B B A Iff

1) A ⊆ B 2) B ⊆ A 3) A = B 4) None of these Solution: (3) In general, A × B ≠ B × A A × B = B × A is true if A = B.... View Article

In A Class 100 Students 55 Students Have Passed In Mathematics And 67 Students Have Passed In Physics Then The Number Of Students Who Have Passed In Physics Only

1) 22 2) 33 3) 10 4) 45 Solution: (4) n (U) = 100 n (M) = 55 n (P) = 67 n (P) - n (M ⋂ P) = ? n (M ∪ P) = n (M) + n (P) - n (M ⋂ P)... View Article

Of The Members Of Three Athletic Teams In A Certain School 21 Are In The Basketball Team 26 In Hockey Team And 29 In The Football Team

1) 43 2) 76 3) 49 4) None of these Solution: (1) B is the set of members who are in the basketball, F is the set of members who are in the... View Article

If N A Denotes The Number Of Elements In Set A And If N A 4 N B 5 And N A Intersection Of B 3 Then N A B Intersection Of B A

1) 8 2) 9 3) 10 4) 11 Solution: (2) n (A × B) ∩ (B × A) = n [(A ∩ B) × (B ∩ B) × (B ∩ A) × (A ∩ A)] = n [(A ∩ B) × 1 × (B ∩ A) × 1] = n... View Article

A Survey Shows That 63 Of The Americans Like Cheese Whereas 76 Like Apples If X Of The Americans Like Both Cheese And Apples Then

1) x = 39 2) x = 63 3) 39 ≤ x ≤ 63 4) None of these Solution: (3) n (A) = 76% n (C) = 63% n (C ⋃ A) = n (A) + n (C) - n (C ⋂ A) = 63 +... View Article

Out Of 800 Boys In A School 224 Played Cricket 240 Played Hockey And 336 Played Basketball

1) 128 2) 216 3) 240 4) 160 Solution: (C ⋃ H ⋃ B)’ = U - [C ⋃ H ⋃ B] = U - [n (C) + n (H) + n (B) - n (C ∩ H) - n (H ∩ B) - n (B ∩ C) +... View Article

In A Battle 70 Of The Combatants Lost One Eye 80 An Ear 75 An Arm 85 A Leg X Lost All The Four Limbs The Minimum Value Of X Is

1) 10 2) 12 3) 15 4) None of these Solution: (1) The combatants who lost an eye and an ear = (70 + 80 − 100)% = 50% The combatants who... View Article