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Senior Manager  Joined: 12 Mar 2009
Posts: 273
The operation* represents either addition, subtraction, or  [#permalink]

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2
16 00:00

Difficulty:   45% (medium)

Question Stats: 54% (00:56) correct 46% (00:48) wrong based on 636 sessions

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The operation* represents either addition, subtraction, or multiplication of integers, what is the value of 1*0?

(1) 0*2=2
(2) 2*0=2

Originally posted by vaivish1723 on 23 Jan 2010, 00:25.
Last edited by Bunuel on 03 Jul 2013, 08:49, edited 1 time in total.
Edited the question and the OA.
##### Most Helpful Expert Reply
Math Expert V
Joined: 02 Sep 2009
Posts: 55271
Re: Symbols  [#permalink]

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1
6
vaivish1723 wrote:
9
The operation* represents either addition, subtraction, or multiplication of integers,
what is the value of 1*0?
(1) 0*2=2
(2) 2*0=2

OA is

Why cant the OA is D because using statement II we get the same answer and we can use that to solve 1*0.

(1) 0*2=2 --> operation * represents addition --> 1*0=1+0=1. Sufficient.

(2) 2*0=2 --> operation * represents either addition or subtraction --> 1*0=1+0=1 and 1*0=1-0=1, the same answer. Sufficient.

Answer: D.

OA must be wrong.
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Manager  Joined: 05 Mar 2011
Posts: 102
The operation* represents either addition, subtraction, or multiplicat  [#permalink]

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1
The operation* represents either addition, subtraction, or multiplication of integers, what is the value of 1*0?

(1) 0*2=2
(2) 2*0=2
GMAT Tutor G
Joined: 24 Jun 2008
Posts: 1527
Re: The operation* represents either addition, subtraction, or multiplicat  [#permalink]

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ashiima wrote:
The operation* represents either addition, subtraction, or multiplication of integers, what is the value of 1*0?
(1) 0*2=2
(2) 2*0=2

We know that * is a plus sign, a minus sign, or a multiplication sign. If Statement 1 is true, the '*' symbol must be a plus sign, since the equation in Statement 1 won't be true if '*' is subtraction or multiplication. Since * represents addition, 1*0 = 1+0 = 1, and Statement 1 is sufficient.

For Statement 2, we know 2*0 = 2. This would be true if * is either addition or subtraction; * cannot be multiplication. So we know that 1*0 is either equal to 1+0 = 1, or is equal to 1-0 = 1. Either way its value is 1, so Statement 2 is also sufficient.

The answer is D (the OA given above is not right).
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Manager  Joined: 08 Sep 2011
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Re: The operation* represents either addition, subtraction, or multiplicat  [#permalink]

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Agree D. I think the source picked A because you are unsure of the sign in statment 2 however this does not affect the outcome of 1*0
Intern  Joined: 18 May 2013
Posts: 12
WE: Consulting (Consulting)
Re: Symbols  [#permalink]

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Bunuel wrote:
vaivish1723 wrote:
9
The operation* represents either addition, subtraction, or multiplication of integers,
what is the value of 1*0?
(1) 0*2=2
(2) 2*0=2

OA is

Why cant the OA is D because using statement II we get the same answer and we can use that to solve 1*0.

(1) 0*2=2 --> operation * represents addition --> 1*0=1+0=1. Sufficient.

(2) 2*0=2 --> operation * represents either addition or subtraction --> 1*0=1+0=1 and 1*0=1-0=1, the same answer. Sufficient.

Answer: D.

OA must be wrong.

Hi Bunuel,

Operation from statement 1: You assumed 0*2 is an "addition" operation i.e. a*b = a +b. But couldn't it be assumed that a*b could also be = b-a (subtraction) ?. And hence 0*2 = 2-0 = 2. Isn't this statement insufficient because of 2 scenarios?

Where as in statement 2: 2*0 could be 2-0 = 2 or 2+0= 2. In either case, this statement alone is sufficient. Hence answer is B.

Am I missing something ?

Best
Rohan
Math Expert V
Joined: 02 Sep 2009
Posts: 55271
Re: Symbols  [#permalink]

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RohanKhera wrote:
Bunuel wrote:
vaivish1723 wrote:
9
The operation* represents either addition, subtraction, or multiplication of integers,
what is the value of 1*0?
(1) 0*2=2
(2) 2*0=2

OA is

Why cant the OA is D because using statement II we get the same answer and we can use that to solve 1*0.

(1) 0*2=2 --> operation * represents addition --> 1*0=1+0=1. Sufficient.

(2) 2*0=2 --> operation * represents either addition or subtraction --> 1*0=1+0=1 and 1*0=1-0=1, the same answer. Sufficient.

Answer: D.

OA must be wrong.

Hi Bunuel,

Operation from statement 1: You assumed 0*2 is an "addition" operation i.e. a*b = a +b. But couldn't it be assumed that a*b could also be = b-a (subtraction) ?. And hence 0*2 = 2-0 = 2. Isn't this statement insufficient because of 2 scenarios?

Where as in statement 2: 2*0 could be 2-0 = 2 or 2+0= 2. In either case, this statement alone is sufficient. Hence answer is B.

Am I missing something ?

Best
Rohan

In (1) the operation cannot be subtraction, since $$0-2=-2$$ and not 2, as stated. But even if you were right, so suppose the operation can be addition or subtraction (as in the second statement), still (1) would be sufficient because we need to find the value of 1*0 which is the same for either of these two operations (+ or -).

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Hope it helps.
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Re: Symbols  [#permalink]

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Bunuel, Thanks for you reply. However by subtraction, I meant 2-0=2 not 0-2=-2. i.e. the operation 0*2 can be construed as addition (like you said) i.e. 2+0=2 or subtraction i.e 2-0=0. Please note that for subtraction, I am considering the case: a*b=b-a (which is 2-0 = 2) and not a-b (which is 0-2=-2) . hope my query is clear to you ?
Math Expert V
Joined: 02 Sep 2009
Posts: 55271
Re: The operation* represents either addition, subtraction, or  [#permalink]

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RohanKhera wrote:
Bunuel, Thanks for you reply. However by subtraction, I meant 2-0=2 not 0-2=-2. i.e. the operation 0*2 can be construed as addition (like you said) i.e. 2+0=2 or subtraction i.e 2-0=0. Please note that for subtraction, I am considering the case: a*b=b-a (which is 2-0 = 2) and not a-b (which is 0-2=-2) . hope my query is clear to you ?

Notice that the first statement is 0*2 not 2*0.
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Re: The operation* represents either addition, subtraction, or  [#permalink]

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D.

From 1, * cannot be multiplication and subtraction. so 1+0 = 1
From 2, * can be addition or subtraction, but 1-0 = 1 or 1+0 = 1

Thus both statement sufficient. Please check what question is asking this is good trap that test makers exploit.

vaivish1723 wrote:
The operation* represents either addition, subtraction, or multiplication of integers, what is the value of 1*0?

(1) 0*2=2
(2) 2*0=2

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Re: The operation* represents either addition, subtraction, or  [#permalink]

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Even if in the second statement the operator can be both + and -
the question stem will will have same value with both the operators. hence Both are correct
IMO D
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Re: The operation* represents either addition, subtraction, or  [#permalink]

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_________________ Re: The operation* represents either addition, subtraction, or   [#permalink] 23 Apr 2019, 22:43
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