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Is z an odd integer?

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Source: — Data Sufficiency |

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by ceilidh.erickson » Wed Nov 08, 2017 12:22 pm
Try TESTING CASES here:

Is z an odd integer?

(1) z is divisible by 3.
If z = 9, then yes: z is odd.
If z = 6, then no: z is not odd.

We tested 2 values that both fit the statement, and we got one yes and one no. Insufficient.

(2) The square root of z is an integer divisible by 3.
If the square root of z is divisible by 3, then z must be a perfect square that is divisible by 3. Again, test cases that fit:
If z = 9, then yes: z is odd.
If z = 36, then no: z is not odd.
Insufficient.

Putting the statements together does not help, because we already know statement 1 in knowing statement 2. Therefore, the answer must be E.
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
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