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If n gt 0 and exactly 15 integers sat...

If `n gt 0 ` and exactly 15 integers satisfying (x+6)(x-4 ) (x-5) `(2x-n) le 0 ` then sum of digits of the least possible value of n is

A

10

B

12

C

14

D

16

Text Solution

Verified by Experts

The correct Answer is:
D
`(x+6)(x-4)(x-5)(2x -n)le0`

Hence , ` x in [-6,4] cup [5,n/2]`
so `n/2 in [8,9)`
`rArr n in [16 ,18)`
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