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number properties

Expert replies
Source: — Data Sufficiency |

by Anurag@Gurome » Sat Jan 28, 2012 11:35 pm
sud21 wrote:Is Z an integer?
1). Z^3 is an integer
2). Root z is an integer.
Statement 1: z³ is an integer doesn't imply that z is an integer too.
For example,
  • # z = cube root of 2 is not an integer but 2 is
    # Both z = 3 and z³ = 27 are integers
Not sufficient

Statement 2: As √z is an integer, z = (√z)² will be also an integer.

Sufficient

The correct answer is B.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
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