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Question

If the set of factors of a whole number n, including n itself but not 1 is denoted by F(n), and F(16)F(40) = F(x) then x is


A

4

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B

8

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C

6

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D

10

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Solution

The correct option is B

8


From the given definition that \(F(n)\) is the set of factors of a whole number n, including n itself but not 1.
We can compute

F(16)={2,4,8,16}

and
F(40)={2,4,5,8,10,20,40}

Also
F(16)F(40)=F(x) [ given]
{2,4,8}=F(x)

F(8)=F(x)
x=8


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