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# If & represents one of the operations +, -, and *, is

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Senior Manager
Joined: 30 Oct 2004
Posts: 284
If & represents one of the operations +, -, and *, is [#permalink]

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21 Sep 2005, 18:07
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If & represents one of the operations +, -, and *, is k&(m + n) = (k&m) + (k&n) for all numbers k,m,n?

1) k&1 is not equal to 1&k for some numbers k
2) & represents subtraction
_________________

-Vikram

Senior Manager
Joined: 15 Aug 2005
Posts: 257
Location: Las Vegas, NV

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21 Sep 2005, 18:49
I think it's D.

Statement two is pretty obvious.

In Statement one,

Try substituting all numbers (pos, neg, frac, zero) and the only one that holds true to the statement is subtraction.

fraction-1 does not equal 1-fraction
Senior Manager
Joined: 27 Aug 2005
Posts: 331

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21 Sep 2005, 20:54
The question stem is simply asking if the operation is multiplication, because that's the only one of the three operations where the question stem holds true.

Statement 2 says it's subtraction. Ergo, not multiplication. Ergo, sufficient.

Statement 1 implies that it's not multiplication or addition. Ergo, subtraction. Ergo, not multiplication. Ergo, sufficient.

D.
Manager
Joined: 06 Aug 2005
Posts: 197

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22 Sep 2005, 00:48
Has anyone seen a question of this type in a real GMAT ?

Although this problem is not too difficult, conceptually it is a level above most of the questions I actually got.
Senior Manager
Joined: 22 Jun 2005
Posts: 363
Location: London

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22 Sep 2005, 03:49
yes, this is a D.

The second statement is obvious.

The first statement also says that & is subtraction.
Try putting in the operators.
k*1= 1*k
k+1 = 1+k
k-1 is sometimes not equal 1-k

Therefore each statement do have the info to answer the question.
Director
Joined: 23 Jun 2005
Posts: 841
GMAT 1: 740 Q48 V42

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22 Sep 2005, 20:04
coffeeloverfreak wrote:
The question stem is simply asking if the operation is multiplication, because that's the only one of the three operations where the question stem holds true.

Statement 2 says it's subtraction. Ergo, not multiplication. Ergo, sufficient.

Statement 1 implies that it's not multiplication or addition. Ergo, subtraction. Ergo, not multiplication. Ergo, sufficient.

D.

another nice explanation, CLF
Senior Manager
Joined: 30 Oct 2004
Posts: 284

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23 Sep 2005, 17:21
marmstrong74 wrote:
What if all three #s are 0.

I think statement (1) puts a constraint on using all three zeros.
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-Vikram

Senior Manager
Joined: 27 Aug 2005
Posts: 331

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23 Sep 2005, 19:07
It says for ALL numbers. That means it has to be true for every number whether it's a 0 or not.
23 Sep 2005, 19:07
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