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In the addition above, #, @, and & each represent a dist

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by BTGmoderatorDC » Fri Jan 18, 2019 3:08 am

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Answers

A

B

C

D

E

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Difficulty—

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In the addition above, #, @, and & each represent a distinct, positive digit. If & is even, what is the value of # ?

(1) # and @ are even and & = 6
(2) # < @

OA C

Source: Princeton Review
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Fri Jan 18, 2019 4:10 am
BTGmoderatorDC wrote:Image

In the addition above, #, @, and & each represents a distinct, positive digit. If & is even, what is the value of #?

(1) # and @ are even and & = 6
(2) # < @

OA C

Source: Princeton Review
We have # + @ = &, where #, @, and & each represents a distinct, positive digit and & is even

We have to get the value of #.

Let's take each statement one by one.

(1) # and @ are even and & = 6.

There are two possibilities: 1. # = 2 and @ = 4 and 2. # = 4 and @ = 2. No unique value of #. Insufficient.

(2) # < @

Certainly insufficient.

(1) and (2) together

From (1) and (2), we have # = 2 and @ = 4. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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