यदि A = {1,2,3,4}, B = {3,4,5} तथा C = {4,5,6} हों, तो (A ∪ B) ∩ C क्या होगा?
If A = {1,2,3,4}, B = {3,4,5}, and C = {4,5,6}, what is (A ∪ B) ∩ C?
Correct answer and explanation
A. {4,5}
Simple Explanation
A ∪ B = {1,2,3,4,5} होता है। अब इस集合 का C = {4,5,6} के साथ intersection लेने पर सामान्य सदस्यों का समूह {4,5} मिलता है। विकल्प B गलत है क्योंकि 3 ∈ (A ∪ B) है पर 3 ∉ C है; विकल्प D केवल {5,6} है और इसमें 4 छूट गया है। परीक्षा-टिप: पहले यूनियन निकालें और फिर उसी परिणाम का intersection लें। / A ∪ B = {1,2,3,4,5}. Intersecting this with C = {4,5,6} gives the common elements {4,5}. Option B is wrong because 3 is not in C, so {3,4} cannot be the intersection. Option D misses 4, and option C lists the full union of all elements rather than the intersection. Exam tip: compute the union first, then intersect that result with the third set to avoid mistakes.
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