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Integers

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by danjuma » Mon Sep 20, 2010 3:21 pm
6. A child selected a 3 digit number XYZ, where X , Y and Z denote the digits of the number. If no 2 of the 3 digits were equal , what was the 3 digit number?

a. The sum of the digits was 10.

b. X<Y<Z
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Source: — Data Sufficiency |
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by beatthegmatinsept » Mon Sep 20, 2010 3:25 pm
IMO E

You get different combinations of numbers with a and b together,
For example,
136
145
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by Gurpinder » Mon Sep 20, 2010 5:01 pm
danjuma wrote:6. A child selected a 3 digit number XYZ, where X , Y and Z denote the digits of the number. If no 2 of the 3 digits were equal , what was the 3 digit number?

a. The sum of the digits was 10.

b. X<Y<Z

(a)
we can have 721 or, 631 or the other way around hence insufficient.

(b)
we can have 127 or 136 - hence insufficient

together
the possibilities that make 10 are

127
136
019

hence (E)
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