Q.)If n is an integer , how many values of n will give an integral value of ?

(a)2

(b)3

(c)4

(d) None of these

[CAT 1997 Question,CAT Question,Number System]

Solution :

The expression can be rewritten as

= (16n+7) +

The expression would be an integer only if also is an integer i.e. n should divide 6 without any remainder.

6 will be divisible by following integral values : 1,2,3,6,-1,-2,-3,-6

so, total possible values of n = 8

So, the number of values of n which would give integral value of = 8

Hence, OPTION(d)