x % of x^2 % of x^3 % of an unknown integer = perfect square integer. unknown integer will be (x

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04 Sep 2012 perfect square

x % of x^2 % of x^3 % of an unknown integer = perfect square integer.
unknown integer will be
(x is any integer)

OPtion

1) 5
2) 9
3) 12
4) 19
5) 25
6) 32
7) 49
8) 2 options are possible
9) 3 options are possible
10) none of these

Solution

according to the given conditions
(x/100)*(x^2/100)*(x^3/100)*y = perfect square
or (x^6/10^6)*y = perfect square integer
so y should be a perfect square integer
and 3 options are perfect square

Correct Option: 9 Best Solution (0)