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If represents one of the four basics operation of arithmetic

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If represents one of the four basics operation of arithmetic [#permalink]

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New post 24 Oct 2017, 08:26
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If @ represents one of the four basics operation of arithmetic - addition, subtraction, division or multiplication, what is \(\frac{1}{3}@\frac{1}{4}\)?
1) \(1@1=1\)
2) \(\frac{1}{2}@\frac{1}{3}=\frac{1}{6}\)

self made : from a similar but still different Q
[Reveal] Spoiler: OA

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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

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Re: If represents one of the four basics operation of arithmetic [#permalink]

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New post 24 Oct 2017, 09:24
B
St 1: can be * or / diff answers
St 2 : can be - or * same answer 1/12



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Last edited by saicharan1191 on 24 Oct 2017, 09:28, edited 1 time in total.

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New post 24 Oct 2017, 09:27
Oh missed it.. It must be B
Because * or - yield 1/12 answer.

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Re: If represents one of the four basics operation of arithmetic [#permalink]

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New post 24 Oct 2017, 09:46
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ST1: can be either multiplication or division
ST2: can be either multiplication or subtraction

Combined-@ is definitely multiplication

hence C
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New post 24 Oct 2017, 11:05
Sasindran wrote:
ST1: can be either multiplication or division
ST2: can be either multiplication or subtraction

Combined-@ is definitely multiplication

hence C

In statement 2 , for either case ( substraction or multiplication) u get 1/3@1/4 = 1/12 so B is sufficient. It's a tricky question.

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Re: If represents one of the four basics operation of arithmetic [#permalink]

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New post 24 Oct 2017, 17:02
Stmt 1: Not sufficient - can be multiplication or Division. If you test these on the prompt you will get 1/12 with multiplication and 4/3 with division - so NS

Stmt 2: Sufficient - can be multiplication or subtraction. If you test both on the prompt you will get 1/12 for each, therefore it is sufficient since you will receive one unique answer no matter what the operation is. Note that the question asks specifically what the answer would be.

TLDR: Answer is B

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Re: If represents one of the four basics operation of arithmetic [#permalink]

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New post 24 Oct 2017, 22:57
Answer should be B.
\(1/3@1/4\)
1/3 - 1/4 = 1/12
1/3*1/4 = 1/12
So both multiplication and subtraction gives the same answer for the stem. We need to find out whether any of the 2 statement gives the same answer

from 1.
1*1 = 1
1/1 = 1
so 1/3 -1/4 = 1/12
(1/3) / (1/4) = 4/3
different answer clearly Not sufficient.

From 2.
1/2 - 1/3 = 1/6
1/2 * 1/3 = 1/6
both answer gives same, which is similar the operation used in the question stem.
So sufficient.

Answer B
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Re: If represents one of the four basics operation of arithmetic   [#permalink] 24 Oct 2017, 22:57
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