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value of z^x - x^z?

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by gmatmachoman » Fri Mar 26, 2010 1:08 am
If x is a positive integer and z is a non-negative integer such that (2,066)z is a divisor of 3,176,793, what is the value of z^x - x^z?
A) -81
B) -1
C) 0
D) 1
E) It Cannot Be Determined
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by neoreaves » Fri Mar 26, 2010 2:02 am
What is the source of this ? The question stem is incorrect .


If we divide 3,176,793 by 2066 we will never get an integer ....look at the unit digit ..it is 6 and no digit multiplied with 6 will result in a 3. So z is either a fraction or a zero.

If z = 0 then it 2066z can not be a divisor because 0 is not a divisor of any numbers (1 is ) .


So the stem doesn't make any sense.
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by akhpad » Sun Mar 28, 2010 9:21 am
problem:

If x is a positive integer and z is a non-negative integer such that (2,066)^z is a divisor of 3,176,793, what is the value of z^x - x^z?

Solution:

Since, 2,066 is not a divisor of 3,176,793

put z = 0 and we got it
0^x - x^0 = 0-1 = 1

Ans B
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by akhpad » Sun Mar 28, 2010 9:23 am
problem:

If x is a positive integer and z is a non-negative integer such that (2,066)^z is a divisor of 3,176,793, what is the value of z^x - x^z?

Solution:

Since, 2,066 is not a divisor of 3,176,793

put z = 0 and we got it
0^x - x^0 = 0-1 = -1 (It was a typo in previous post)

Ans B
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by superdesi2100 » Sun Mar 28, 2010 9:29 am
The problems says (2,066)z is a divisor of 3,176,793. If z=0 then 3,176,793/ (2,066)z will be undefined. I believe the problem does not make any sense.
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by akhpad » Sun Mar 28, 2010 9:32 am
It was posted wrongly by the initiator. So, I corrected it.
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by akhpad » Sun Mar 28, 2010 9:35 am
It was posted wrongly by the initiator. So, I corrected it.
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by eaakbari » Sun Mar 28, 2010 10:11 am
If the question is what akhp says then answer is B
Nice question
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by gmatmachoman » Sun Mar 28, 2010 10:49 am
akhp77 wrote:It was posted wrongly by the initiator. So, I corrected it.
Kindly accept my apologies...

@akhp.Thx for the correction!

OA: B
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Re: value of z^x - x^z?

by Scott@TargetTestPrep » Sat Feb 08, 2020 7:09 pm
gmatmachoman wrote: ↑
Fri Mar 26, 2010 1:08 am
 If x is a positive integer and z is a non-negative integer such that (2,066)z is a divisor of 3,176,793, what is the value of z^x - x^z?
A) -81
B) -1
C) 0
D) 1
E) It Cannot Be Determined
Since 2,066 is even and 3,176,793 is odd, we see that the only possible value for z is 0.

Thus, 0^x = 0 and x^0 = 1, so 0 - 1 = -1.

Answer: B

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