carollu wrote:

if when a certain integer x is divided by 5, the remainder is 2, then each of the following could also be an integer EXCEPT:

a)x/17

b)x/10

c)x/6

d)x/3

e)x/11

The question tells us that x is not completely divisible by 5 (it leaves a remainder 2). If x is not divisible by 5, it certainly will not be divisible by 10 either because to be divisible by 10, it needs to be divisible by 5 as well as 2. Hence answer (B)

If you want to see examples how other options can be integers, let me give examples where x/5 gives a remainder 2:

x = 17; Completely divisible by 17

x = 12; Completely divisible by 6 and 3

x = 22; Completely divisible by 11

_________________

Karishma

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