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# The symbol © represents one of the following operations: addition, sub

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Math Expert
Joined: 02 Sep 2009
Posts: 58320

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11 Jan 2015, 12:14
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Difficulty:

15% (low)

Question Stats:

76% (00:53) correct 24% (00:46) wrong based on 185 sessions

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The symbol © represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 4 © 5?

(1) 0 © 1 = 0
(2) 0 © 1 = 1

Kudos for a correct solution.

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Joined: 27 Oct 2013
Posts: 199
Location: India
Concentration: General Management, Technology
GMAT Date: 03-02-2015
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12 Jan 2015, 03:06
1
Statement 1:

© could be multiply or divide

hence not Statement 1 is not sufficient.

Statement 2:

© has to be addition for the above result to be true.

hence Statement 2 is sufficient to answer the question.

option B is correct
Intern
Joined: 15 Nov 2014
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12 Jan 2015, 04:29
1
I picked B

Stat 1 - © could be multiplication or division. Hence not sufficient

Math Expert
Joined: 02 Sep 2009
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19 Jan 2015, 03:24
Bunuel wrote:
The symbol © represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 4 © 5?

(1) 0 © 1 = 0
(2) 0 © 1 = 1

Kudos for a correct solution.

OFFICIAL SOLUTION:

To determine the value of 4 © 5, you have to figure out which of the four operations the symbol represents. The way to do so is to plug each of the operations into the equations offered by each of the two statements and see whether either of them allows you to narrow the symbol down to just one operation.

Statement (1) gives you 0 © 1 = 0. Plug in each operation to see whether any make the equation true. You know addition and subtraction don’t work because you can’t add 1 to or subtract 1 from a number and end up with the same number. However, both multiplication and division work: 0 × 1 = 0, and 0 ÷ 1 = 0. Therefore, statement (1) isn’t sufficient because it doesn’t allow you to narrow the symbol down to just one operation. The answer, then, can’t be A or D.

Statement (2) offers 0 © 1 = 1. The only difference between this equation and the one in statement (1) is the answer. You know that multiplication and division don’t work, because they already produced an answer of zero. Subtraction results in –1, so the only operation that works is addition (0 +1 = 1). This means that statement (2) alone gives you enough information to determine which operation the symbol stands for, which allows you to figure out the

Data sufficiency questions don’t ask for the actual numeric answer, so don’t take the time to actually determine the value of 4 + 5 (not that it would take you long in this instance).
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19 Jan 2015, 03:26
Bunuel wrote:
Bunuel wrote:
The symbol © represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 4 © 5?

(1) 0 © 1 = 0
(2) 0 © 1 = 1

Kudos for a correct solution.

OFFICIAL SOLUTION:

To determine the value of 4 © 5, you have to figure out which of the four operations the symbol represents. The way to do so is to plug each of the operations into the equations offered by each of the two statements and see whether either of them allows you to narrow the symbol down to just one operation.

Statement (1) gives you 0 © 1 = 0. Plug in each operation to see whether any make the equation true. You know addition and subtraction don’t work because you can’t add 1 to or subtract 1 from a number and end up with the same number. However, both multiplication and division work: 0 × 1 = 0, and 0 ÷ 1 = 0. Therefore, statement (1) isn’t sufficient because it doesn’t allow you to narrow the symbol down to just one operation. The answer, then, can’t be A or D.

Statement (2) offers 0 © 1 = 1. The only difference between this equation and the one in statement (1) is the answer. You know that multiplication and division don’t work, because they already produced an answer of zero. Subtraction results in –1, so the only operation that works is addition (0 +1 = 1). This means that statement (2) alone gives you enough information to determine which operation the symbol stands for, which allows you to figure out the

Data sufficiency questions don’t ask for the actual numeric answer, so don’t take the time to actually determine the value of 4 + 5 (not that it would take you long in this instance).

Check other Symbols Representing Arithmetic Operation questions in our Special Questions Directory.
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29 Mar 2019, 03:25
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The symbol © represents one of the following operations: addition, sub   [#permalink] 29 Mar 2019, 03:25
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