Archives

N N 1 2n 1 N Z Is A Subset Of

Solution: (1) The value of n becomes n = ± 1. A = {...... -30, 0, -6, 6, 30,.....} A = {6K : K ∈ Z}... View Article

The Number Of Elements In The Set A B 2 A 2 3 B 2 35 A B Z Where Z Is The Set Of All Integers Is

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

If N A 4 N B 3 And N A B C 24 Then N C Is Equal To

Solution: (5) n (A × B × C) = n (A) × n (B) × n (C) 24 = 3 × 4 × n (C) 24 = 12 × n (C)... View Article

If A X X Is A Multiple Of 3 And B X X Is A Multiple Of 5 Then A Intersection B Is Given By

Solution: (3) Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, .... A = {3, 6, 9, 12, 15, 18, 21, ....} Multiples of 5 = 5, 10, 15, 20, 25, 30 ....... View Article

If A X Y Then The Power Set Of A Is

Solution: (4) A = {x, y} Power set contains all the sets of values of A and all subsets of A. Power set of A = {ɸ, {x}, {y}, {x, y}}.... View Article

If X And Y Are The Sets Of All Positive Divisors Of 400 And 1000 Respectively Including 1

Solution: (5) The factors of 400 and 1000 are given below. 400 = 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400 1000 = 1, 2, 4, 5,... View Article

If A 1 2 3 4 And B 2 4 6 Then The Number Of Set C Such That A Intersection B C A Union B Is

If A = {1, 2, 3, 4} and B = {2, 4, 6}. Then, the number of set C such that A ∩ B ⊆ C ⊆ A ∪ B is (1) 6 (2) 9 (3) 8 (4) 10 (5) 12... View Article

If Universal Set Is Given Then Find A Intersection B Is Equal To

Solution: (3) U = x5 - 6x4 + 11x3 - 6x2 = 0 U = x2 (x3 − 6x2 + 11x − 6) U = x2 (x − 1) (x − 2) (x − 3) A... View Article

Is A Intersection Of A Is Phi

Solution: (2) A ∩ ϕ = ϕ ϕ denotes an empty set. The intersection of an empty set is an empty set.... View Article

If Z Denotes The Integers A And B Are Given Then Find The Number Of Element In A Intersection B

Solution: (5) A = {(a, b):a2 + 3b2 = 28, a, b ∈ Z} A = {(1, 3), (-1, 3}, (4, 2}, (- 4, 2}, (5, 1), (-5, 1), (-5, -1), (-4, -2), (-1, -3),... View Article

The Value Of A Union B Union C Intersection A Intersection B C Intersection C Intersection C Is

From the figures (i), (ii) and (iii), (A ∪ B ∪ C) (A ∩ BC ∩ CC)C ∩ CC = B ∩ CC The answer is B ∩ CC. ... View Article

If N A Denotes The Number Of Elements In The Set A

Solution: (2) n[(A x B) ∩ (B x A)] = n [(A ∩ B) * (B ∩ B) * (B ∩ A) * (A ∩ A)] = n [(A ∩ B) * (1) * (B ∩ A) * 1]... View Article

If A 1 2 3 B 3 4 And C 4 5 6 Then A Union B Intersection C Is Equal To

Solution: (4) A = {1, 2, 3} B = {3, 4} C = {4, 5, 6} (B ∩ C) = {3, 4} ∩ {4, 5, 6} = {4} A ∪ (B ∩ C) = {1, 2, 3} ∪ {4} =... View Article

If A A B C B B C D And C A D C Then A B B Intersection C Isequalto

Solution: (1) Given that: A = {a, b, c}, B = {b, c, d} and C = {a, d, c} A − B = {a, b, c} − {b, c, d} = {a}and B ∩ C = {b, c,... View Article

A Survey Shows That 63 Of The Americans Like Cheese Whereas 76 Like Apples

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 =... View Article

Three Sets A B And C Are Such That A B C And B C A Then

Three sets A, B and C are such that A = B ∩ C and B = C ∩ A, then (1) A ⊂ B (2) A ⊃ B (3) A = B (4) A ⊂ B' Solution:... View Article

In A Certain Town 25 Of Families Own A Cell Phone 15 Of Families Own A Scooter

Solution: (3) % of families that own a cell phone = 25% % of families that own a scooter = 15% % of families that own neither a cell phone nor... View Article

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

Solution: (1) By applying De Morgan’s Law, (A’ ∩ B’) ∪ (A’ ∩ B) By distributive law, A’ ∩... View Article

For Any Two Sets A And B A A B Is Equal To

Solution: (3) Given A and B are two sets. A - (A - B) = A − (A ∩ Bc) = A ∩ (A ∩ Bc)c = A ∩ (Ac ∪ B) =... View Article

X Belong To R 2x 1 X 3 4 X 2 3x Is Equal To

Solution: (3) Consider A = {x ∈ R: 2x - 1 / [x3 + 4x2 + 3x]} [x3 + 4x2 + 3x] = x [x2 + 4x + 3] = x (x + 3) (x + 1) x ≠ 0, -1, -3 A =... View Article