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If A = {9, 10, 11, 12, 13} and let f : A...

If `A = {9, 10, 11, 12, 13}` and let `f : A rarr N` is defined by `f(x)` = highest prime factor of x. then the number of distinct elements in the image of f is :

A

`6`

B

`7`

C

`8`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
D
If `A = {9, 10, 11, 12 ,13}` ……………..
as per given function
`F(9) = 3`
`F(10) = 5`
`F(11) = 11`
`F(12) = 3`
`F(13) = 13)`
Range `= {3, 5, 11, 13}`
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