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# If represents one of the four basics operation of arithmetic

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

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24 Oct 2017, 07:26
1
6
00:00

Difficulty:

(N/A)

Question Stats:

56% (01:02) correct 44% (01:11) wrong based on 150 sessions

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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

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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

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Updated on: 24 Oct 2017, 08:28
B
St 1: can be * or / diff answers
St 2 : can be - or * same answer 1/12

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Originally posted by saicharan1191 on 24 Oct 2017, 08:24.
Last edited by saicharan1191 on 24 Oct 2017, 08:28, edited 1 time in total.
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Re: If represents one of the four basics operation of arithmetic  [#permalink]

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24 Oct 2017, 08:27
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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24 Oct 2017, 08:46
1
ST1: can be either multiplication or division
ST2: can be either multiplication or subtraction

Combined-@ is definitely multiplication

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

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24 Oct 2017, 10:05
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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24 Oct 2017, 16:02
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.

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

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24 Oct 2017, 21:57
$$1/3@1/4$$
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

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.

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

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18 Oct 2018, 17:33
chetan2u wrote:
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

Statement 1: can be multiplication or division yields different values for $$\frac{1}{3}@\frac{1}{4}$$

Statement 2: can be multiplication or subtraction yields same values for $$\frac{1}{3}@\frac{1}{4}$$

Re: If represents one of the four basics operation of arithmetic   [#permalink] 18 Oct 2018, 17:33
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