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* Operation

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by Gmat09_5ALL » Wed Sep 16, 2009 1:10 am
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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Source: — Data Sufficiency |

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Re: * Operation

by Brent@GMATPrepNow » Wed Sep 16, 2009 8:06 am
Gmat09_5ALL 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

(1) If 0*2=2, then * must represent either addition (0+2=2, 0-2=-2, 0x2=0 and 0/2=0), in which case 1*0 must equal 1. So, statement 1 is sufficient.

(2)If 2*0=2, then * could represent either addition (2+0=2) or subtraction (2-0=2). So, it seems that statement 2 might be insufficient. However, notice that in both cases (* represents addition or subtraction) the value of 1*0 is the same (1+0=1 and 1-0=1). So, statement (2) is sufficient and the answer is D.
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