Q.)If n is an integer , how many values of n will give an integral value of ?
(d) None of these
[CAT 1997 Question,CAT Question,Number System]
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