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A child selected a three-digit number, XYZ, where X, Y, and Z denote the digits of the number. If no two of the three

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A child selected a three-digit number, XYZ, where X, Y, and Z denote the digits of the number. If no two of the three

by BTGmoderatorDC » Sun May 24, 2020 6:33 pm

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A child selected a three-digit number, XYZ, where X, Y, and Z denote the digits of the number. If no two of the three digits were equal, what was the three-digit number?

(1) The sum of the digits was 10.
(2) X < Y < Z



OA E

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Source: — Data Sufficiency |

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Re: A child selected a three-digit number, XYZ, where X, Y, and Z denote the digits of the number. If no two of the thre

by Jay@ManhattanReview » Mon May 25, 2020 1:01 am

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BTGmoderatorDC wrote: ↑
Sun May 24, 2020 6:33 pm
 A child selected a three-digit number, XYZ, where X, Y, and Z denote the digits of the number. If no two of the three digits were equal, what was the three-digit number?

(1) The sum of the digits was 10.
(2) X < Y < Z

OA E

Source: GMAT Prep
Let's take each statement one by one.

(1) The sum of the digits was 10.

The number can be any 127, 235, 253, etc. Insufficient.

(2) X < Y < Z

The number can be any 127, 235, etc. Insufficient.

(1) and (2) together

Both the numbers 127 and 235 are applicable for each statement. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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