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Math Expert V
Joined: 02 Sep 2009
Posts: 58320
The symbol © represents one of the following operations: addition, sub  [#permalink]

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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.

_________________
Manager  Joined: 27 Oct 2013
Posts: 199
Location: India
Concentration: General Management, Technology
GMAT Date: 03-02-2015
GPA: 3.88
Re: The symbol © represents one of the following operations: addition, sub  [#permalink]

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1
Statement 1:

0 © 1 = 0

© could be multiply or divide

hence not Statement 1 is not sufficient.

Statement 2:

0 © 1 = 1

© 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
Posts: 1
Re: The symbol © represents one of the following operations: addition, sub  [#permalink]

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1
I picked B

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

Stat 2 - © can only be addition, this sufficient.
Math Expert V
Joined: 02 Sep 2009
Posts: 58320
The symbol © represents one of the following operations: addition, sub  [#permalink]

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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
value of 4 © 5.

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).
_________________
Math Expert V
Joined: 02 Sep 2009
Posts: 58320
Re: The symbol © represents one of the following operations: addition, sub  [#permalink]

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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
value of 4 © 5.

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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Non-Human User Joined: 09 Sep 2013
Posts: 13147
Re: The symbol © represents one of the following operations: addition, sub  [#permalink]

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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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