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Operations on Sets

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By Expert Faculty of Sri Chaitanya
Question

Let X=nN:1n50. If A=nX:n   isa  multiple    of   2 and  B=nX:n   is a   multiple    of   7. Then the number of elements in the smallest subset of X containing both A and B is _____

Easy
Solution

We have AA=2,4,6,8........50, B=7,14,21,28,35,42,49 and AB=14,28,42

Also the smallest subset containing both A and B is AB

nAB=nA+nBnAB= 25 + 7 – 3 = 29


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