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## The symbol âŠ- represents one of the following...

tagged by: swerve

This topic has 1 expert reply and 0 member replies

### Top Member

swerve Master | Next Rank: 500 Posts
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#### The symbol âŠ- represents one of the following...

Tue Oct 31, 2017 9:13 am
The symbol âŠ- represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 7âŠ-4?

(1) 4âŠ-7 < 1

(2) 4âŠ-3 > 1

The OA is C.

I need help to solve this DS question. Please, can any expert explain it for me? Thanks.

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
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Fri Nov 10, 2017 1:09 am
swerve wrote:
The symbol âŠ- represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 7âŠ-4?

(1) 4âŠ-7 < 1

(2) 4âŠ-3 > 1

The OA is C.

I need help to solve this DS question. Please, can any expert explain it for me? Thanks.
We have to the value of 7âŠ-4. To get this, we must know what operation âŠ- does.

Question rephrased: What operation âŠ- does?

(1) 4âŠ-7 < 1

1. Assuming that âŠ- is addition, then 4âŠ-7 < 1 => 4 + 7 (= 11) > 1. Not correct.
2. Assuming that âŠ- is subtraction, then 4âŠ-7 < 1 => 4 - 7 (= -3) < 1. Correct.
3. Assuming that âŠ- is multiplication, then 4âŠ-7 < 1 => 4 x 7 (= 28) < 1. Not correct.
4. Assuming that âŠ- is division, then 4âŠ-7 < 1 => 4 Ã· 7 (= 0.5) < 1. Correct.

âŠ- can either be subtraction or division. No unique answer. Insufficient.

(2) 4âŠ-3 > 1

1. Assuming that âŠ- is addition, then 4âŠ-3 > 1 => 4 + 3 (= 7) > 1. Correct.
2. Assuming that âŠ- is subtraction, then 4âŠ-3 > 1 => 4 - 3 (= 1) = 1. Not correct.
3. Assuming that âŠ- is multiplication, then 4âŠ-3 > 1 => 4 x 3 (= 12) > 1. Correct.
4. Assuming that âŠ- is division, then 4âŠ-3 > 1 => 4 Ã· 3 (= 1.33) > 1. Correct.

âŠ- can either be addition, multiplication or division. No unique answer. Insufficient.

(1) and (2) combined:

After combing, we get that âŠ- is a division. No unique answer. Sufficient.

Hope this helps!

-Jay
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