Latest Elitmus Aptitude Question SOLUTION: if z=100^2-x^2,then for how many value of x, z is divisible by 6.

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

Asked In Elitmus Rohit Kumar Singh (8 years ago)

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amitesh sharma  (8 years ago)

66
because x can be negative also.
33*2=66

Is this solution Helpfull? Yes (18) | No   

Anupam ghosh  (8 years ago)

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.

Is this solution Helpfull? Yes (15) | No (6)  

SAURABH GUPTA  (8 years ago)

68 values
(100-x)(100+x)

Is this solution Helpfull? Yes (2) | No (1)  

Sourabh Prasad  (8 years ago)

Yes,
Correct answer is 66.
I have marked 66 and it is correct as i got marks for this.

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Asmita  (8 years ago)

z=100pow2-xpow2
let x=2
then
z=10000-4
z=9996 which is divisible by 6
so the value of x=2
satisfied

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Asmita  (8 years ago)

z=100^2-x^2
let x=2
z=10000-2^2
z=10000-4
z=9996
which is divisible by 6

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Aleem Pasha  (8 years ago)

x value when used as 2 then z is divisible by 6
ie. z=10000-4
z=9996/6
z=1666
thus x=2

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Vidyakant soni   (8 years ago)

Answer is 3
For values x= 2, 4 and 8 z value would be 96 84 and 36...which would be divisible by 6...

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ananga  (8 years ago)

@anupam the pattern of the series is not clear..please explain in detail??

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