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# If n is an integer between 2 and 100 and if n is also the

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Director
Joined: 03 Jul 2003
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If n is an integer between 2 and 100 and if n is also the [#permalink]

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04 Dec 2003, 17:52
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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 the cube of an integer.
(2) n is even.

Director
Joined: 28 Oct 2003
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04 Dec 2003, 18:37
From the stem, we know that N is either 4, 9, 16, 25, 36, 49, 64, or 81.

1 tells us that it is also a cube.
cubes between 1-100... 8, 27, 64

64 is the only number common to both lists. A is sufficient.

2 tells us that the number is even.
This could be 4, 16, 36, or 64.

Many numbers are common. B is not sufficient.
Director
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04 Dec 2003, 18:51
A is sufficient.
n is 64.. sq of 8 and cube of 4. no other number share the same property.. oh, <100

B, not sufficient.
n is even, then possible values are 4, 16, 36, 64. Not sufficient
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