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The three integers X, Y, and Z. Is their product XYZ = zero [#permalink]
 26 Jun 2003, 04:07
Question Stats:
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0% (00:00) wrong based on 0 sessions
The three integers X, Y, and Z. Is their product XYZ = zero
(1) X^Y=1
(2) X=Y=Z
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Manager
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(1): X^Y=1 alone is sufficient to tell us that Y is 0 and therefore X*Y*Z=0
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Manager
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You're right Stolyar - I didn't think of that.
Then neither statements are sufficient
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Intern
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is it C.
from 1: x^y=1 only in 2 cases 0^1 and 1^1 in both cases y=1.
from 2: u cant say anyting
both: x=y=z=1, then xyz=1. so no is the answer
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SVP
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arun wrote: is it C.
from 1: x^y=1 only in 2 cases 0^1 and 1^1 in both cases y=1.
from 2: u cant say anyting
both: x=y=z=1, then xyz=1. so no is the answer
lots of mistakes; even so, C is correct
(1) X^Y=1 follows that 1^1=1, 0^1=1, and –1^0=1: NOT ENOUGH
(2) is of no use
combine X=Y=Z=1, so the product does not equal to a zero.
thus, C.
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Director
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Is 0^1 = 1 ???
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stolyar wrote: arun wrote: is it C.
from 1: x^y=1 only in 2 cases 0^1 and 1^1 in both cases y=1.
from 2: u cant say anyting
both: x=y=z=1, then xyz=1. so no is the answer lots of mistakes; even so, C is correct (1) X^Y=1 follows that 1^1=1, 0^1=1, and тАУ1^0=1: NOT ENOUGH (2) is of no use combine X=Y=Z=1, so the product does not equal to a zero. thus, C. Fabulous problem !!!!!!
0^1 = 0 just like 5^1=5 
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Manager
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From statement 1, 0^0= 1 so X=y=z is also sufficient when all are 0. so the answer must be E.
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The three integers X, Y, and Z. Is their product XYZ = zero (1) X^Y=1 (2) X=Y=Z CAN ANYONE HELP ME? I think it is E. As combining both statement we have two possible values for x=y=z. Combining statement 1 and 2, there could be two values (x,y,z)= (1,1,1) or (0,0,0) But where i am confused is that - can we say 0^0=1 for statement 1. If we can't, then the answer must be C not E. Let me know what GMAT says about 0^0.
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The value of any number raised to 0 is 1, though the opinion regarding the value of 0^0 differs across various sources  check this : 0-raised-to-90605.html
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Senior Manager
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btw, this DS question is from which source ?
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Manager
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Thanks, What would you have said "C' or "E"?
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Senior Manager
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Now... what's the OA? C / E Personally, I'll go with C
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Its your duty to post OA afterwards; some one must be waiting for that...
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The three integers X, Y, and Z. Is their product XYZ = zero
(1) X^Y=1
(2) X=Y=Z
st 1.
it tells us that X=1 but Y could be 0 or any positive integer besides 0. INSUFF
st 2.
INSUFF
st1+st2
they tell us that a X=Y=Z=1. SUFF to prove that XYZ does not equal 0.
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Thanks to All of you!
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