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Difficulty:
45%
(medium)
Question Stats:
62% (01:35) correct
38%
(01:53)
wrong
based on 119
sessions
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If both x and p are integers where x^3 = p and 2 < p < 200, what is the value of p ?
(1) p is even
(2) p is a perfect square
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(1) p is even
(2) p is a perfect square
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
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Statement 2 alone is sufficient in my opinion
Since p is a perfect square, let p = n^2, but
p = x^3
=> n^2 = x^3
In the list of squares until 200, 64 is the only number which holds true for both square and a cube and since it is mentioned that x and p are integers,
=> p = 64
Since p is a perfect square, let p = n^2, but
p = x^3
=> n^2 = x^3
In the list of squares until 200, 64 is the only number which holds true for both square and a cube and since it is mentioned that x and p are integers,
=> p = 64
divyadna
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