stonecold wrote:
Hi everyone
abhimahna DAllison2016 msk0657here is what i think =>
The ANSWER here should be C
WE aren't told A,B.C are integers.
if the Question would mention that A,B,C are integers then ye => C is fine
Else here E Gotta be true
CC-
BunuelDude,
504 can be written as \(7 * 3^2 * 2^3\)
so, since \(sqrt(ABC) = 504\), we can say ABC = \(7^2 * 3^4 * 2^6\)
Now, Statement 1 has made it clear that C is an integer.
Now, we also know that A*B = \(7 * 3^3 * 2^3\)
We are not sure if B is even. hence, insufficient.
Now Statement B states that A is a perfect Square. No info about B and C, hence insufficient.
Combining,
We know C and product of A and B.
What do you wanna take the value of A. 1/2, if yes, then take it. I know one thing that in order to make the multiplication of A and B an integer, I MUST have 2 in B.
if you wanna take A = 1/7, again take it (
) , Since I have the product of A and B even, and A is ODD, I can say B MUST be even.
Also, If I go with the normal integral values, then since I have A a perfect square and 3 2's in the product of A and B, I must infer that B must have atleast one 2 in it.
Hence, sufficient.
Do let me know if you have any doubts.
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