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

[BTGmoderatorDC]

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

[Jay@ManhattanReview]

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
_________________
Manhattan Review GMAT Prep

Locations: Manhattan Review Warangal | Hyderabad | GRE Prep Mumbai | Visakhapatnam GRE Coaching | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.