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n an integer

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by baha777 » Wed Aug 05, 2009 12:47 pm
If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n?
(1) n is even
(2) the cube root of n is an integer

OA: B
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Re: n an integer

by riteshbindal » Wed Aug 05, 2009 4:24 pm
baha777 wrote:If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n?
(1) n is even
(2) the cube root of n is an integer

OA: B
lets note down all the square numbers between 2 to 100. It won't be a pretty long list: 4, 9, 16, 25, 49, 64, 81, 100
1. N is even --> We have several even values in our list. So definitely not A or D. It should be either B, D or E now
2. cube root f n is an integer --> It indirectly says that the number in our list is also a cube of another integer. I can see just 64 as cube of 4 over here. Rest all numbers are not cube of any integer. Hence, B is sufficient.
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