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A terminating decimal is defined as a decimal that has...

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A terminating decimal is defined as a decimal that has...

by AAPL » Fri Nov 03, 2017 7:40 am
A terminating decimal is defined as a decimal that has a finite number of nonzero digits. Examples of terminating decimals are 0.24, 52, and 6.0314. x and y are positive integers. If x/y is expressed as a decimal, is it a terminating decimal?

(1) 50 < x < 60

(2) y = 9

The OA is E.

I need help to solve this DS question. Please, can any expert explain it for me? Thanks.
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Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Fri Nov 03, 2017 8:18 am
AAPL wrote:A terminating decimal is defined as a decimal that has a finite number of nonzero digits. Examples of terminating decimals are 0.24, 52, and 6.0314. x and y are positive integers. If x/y is expressed as a decimal, is it a terminating decimal?

(1) 50 < x < 60

(2) y = 9
Target question: If x/y is expressed as a decimal, is it a terminating decimal?
Let's go straight to....

Statements 1 and 2 combined
There are several values of x and y that satisfy BOTH statements. Here are two:
Case a: x = 54 and y = 9. So, x/y = 6. In this case, the decimal equivalent of x/y IS a terminating decimal
Case b: x = 55 and y = 9. So, x/y = 6.33333333........ In this case, the decimal equivalent of x/y is NOT a terminating decimal
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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