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If F(n) is the set of all factors of 'n'...

If `F(n)` is the set of all factors of 'n' excluding 1 and `F(16) nn F(24) = F(x)`, then find thevalue of x.

Text Solution

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The correct Answer is:
8
`F(n)` is the set of all the factors of n excluding 1.
`F(16)={2, 4, 8, 16}`
`F(24)={2, 3, 4, 5, 8, 12, 24}`
`F(16) nn F(24)={2, 4, 8}=F(8)`
Given `F(16) nn F(24)=F(x)`
`:. x=8`
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