If A - a - b - c - d - e and C - B -1-2-3-4- then A - B - A - C isA- a - b - c - d - e B- 1-2-3-4C- a- b- c- d- e- 1-2-3-4D- Null set

The correct option is C a, b, c, d, e, 1, 2, 3, 4 (A∪ B) ∩ (A ∪ C) = A ∪ (B ∩ C) = A ∪ (C ∩ B) [B∩ C = C ∩ B] = a,b,c,d,e U 1,2,3,4 = a,b,c,d,e,1,2,3,4 So, opt ...

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Quantitative Aptitude

Three Sets Venn Diagram

If A = a , b ...

Question

If A = {a, b, c, d, e} and C $\cap$ B = {1, 2, 3, 4}, then (A $\cup$ B) $\cap$ (A $\cup$ C) is

{a, b, c, d, e}

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{1, 2, 3, 4}

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{a, b, c, d, e, 1, 2, 3, 4}

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Null set

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Solution

The correct option is C {a, b, c, d, e, 1, 2, 3, 4}

$(A \cup B) \cap (A \cup C) = A \cup (B \cap C) = A \cup (C \cap B) [B \cap C = C \cap B]$
= {a,b,c,d,e} U {1,2,3,4} = {a,b,c,d,e,1,2,3,4}
So, option C is correct.

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Similar questions

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If A = {a, b, c, d, e} and C ∩ B = {1, 2, 3, 4}, then (A ∪ B) ∩ (A ∪ C) is

The correct option is C {a, b, c, d, e, 1, 2, 3, 4} (A∪B)∩(A∪C)=A∪(B∩C)=A∪(C∩B)[B∩C=C∩B] = {a,b,c,d,e} U {1,2,3,4} = {a,b,c,d,e,1,2,3,4} So, option C is correct.

If A = {a, b, c, d, e} and C $\cap$ B = {1, 2, 3, 4}, then (A $\cup$ B) $\cap$ (A $\cup$ C) is

The correct option is C {a, b, c, d, e, 1, 2, 3, 4}

$(A \cup B) \cap (A \cup C) = A \cup (B \cap C) = A \cup (C \cap B) [B \cap C = C \cap B]$
= {a,b,c,d,e} U {1,2,3,4} = {a,b,c,d,e,1,2,3,4}
So, option C is correct.