if z 100 2-x 2 then for how many value of x z is divisible by 6

ans: 33 values of x
explanation: x must be 1 to 99
if x=1 not divisible by 6
if x=2 divisible by 6
in this way we get that if x=2,4,8,10,14,16,20,22,.....then z divisible by 6
so here we get two series
2,8,16,20.......98(total 17 values) and
4,10,16,22......94(total 16 values)
so,total 33 values of x.
8 years agoHelpfull: Yes(15) No(6)
68 values
(100-x)(100+x)
8 years agoHelpfull: Yes(2) No(1)
Yes,
Correct answer is 66.
I have marked 66 and it is correct as i got marks for this.
8 years agoHelpfull: Yes(1) No(2)
z=100pow2-xpow2
let x=2
then
z=10000-4
z=9996 which is divisible by 6
so the value of x=2
satisfied
8 years agoHelpfull: Yes(1) No(3)
z=100^2-x^2
let x=2
z=10000-2^2
z=10000-4
z=9996
which is divisible by 6
8 years agoHelpfull: Yes(1) No(2)
x value when used as 2 then z is divisible by 6
ie. z=10000-4
z=9996/6
z=1666
thus x=2
8 years agoHelpfull: Yes(0) No(4)
Answer is 3
For values x= 2, 4 and 8 z value would be 96 84 and 36...which would be divisible by 6...
8 years agoHelpfull: Yes(0) No(0)
@anupam the pattern of the series is not clear..please explain in detail??
8 years agoHelpfull: Yes(0) No(0)

if z=100^2-x^2,then for how many value of x, z is divisible by 6.