1.

If A={x:x is a multiple of 3} and B={x:x is a multiple of 4} and C={x:x is a multiple of 12}, then which one of the following is a null set?A. `(A//B)uuC`B. `(A//B)//C`C. `(AnnB)nnC`D. `(AnnB)//C`

Answer» Correct Answer - D
A={x:x is a multiple of 3}
`therefore` A={3, 6, 9, 12, 15, 18, 24,….}
`therefore (AnnB)/(C)`
`"B={x : x is a multiple of 4}"`
`thereforeB={4,8,12,16,20,24,28,32,....}`
C={x : x is a multiple of 12}
`therefore C={12, 24, 36, 48, 60, 72, 84, 96,....}`
`AnnB={12,24,....}= (AnnB)/(C)`.


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