swerve wrote:The symbol ⊗ represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 7⊗4?
(1) 4⊗7 < 1
(2) 4⊗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 7⊗4. To get this, we must know what operation ⊗ does.
Question rephrased: What operation ⊗ does?
(1) 4⊗7 < 1
1. Assuming that ⊗ is addition, then 4⊗7 < 1 => 4 + 7 (= 11)
> 1. Not correct.
2. Assuming that ⊗ is subtraction, then 4⊗7 < 1 => 4 - 7 (= -3)
< 1. Correct.
3. Assuming that ⊗ is multiplication, then 4⊗7 < 1 => 4 x 7 (= 28)
< 1. Not correct.
4. Assuming that ⊗ is division, then 4⊗7 < 1 => 4 ÷ 7 (= 0.5)
< 1. Correct.
⊗ can either be subtraction or division. No unique answer. Insufficient.
(2) 4⊗3 > 1
1. Assuming that ⊗ is addition, then 4⊗3 > 1 => 4 + 3 (= 7)
> 1. Correct.
2. Assuming that ⊗ is subtraction, then 4⊗3 > 1 => 4 - 3 (= 1)
= 1. Not correct.
3. Assuming that ⊗ is multiplication, then 4⊗3 > 1 => 4 x 3 (= 12)
> 1. Correct.
4. Assuming that ⊗ is division, then 4⊗3 > 1 => 4 ÷ 3 (= 1.33)
> 1. Correct.
⊗ can either be addition, multiplication or division. No unique answer. Insufficient.
(1) and (2) combined:
After combing, we get that ⊗ is a division. No unique answer. Sufficient.
The correct answer:
C
Hope this helps!
-Jay
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