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# If x, y, and z are all positive integers, what is the

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Math Expert
Joined: 02 Sep 2009
Posts: 52278
Re: If x, y, and z are all positive integers, what is the  [#permalink]

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09 May 2014, 03:03
himanshujovi wrote:
Bunuel wrote:
BangOn wrote:
7^(xyz) / 4

Even power raised to 7 will yield remainder 3
Odd power will yield 1

A) yz = 3 => which means xyz is odd. So remainder is 1.
B) X is odd. Odd/Even both pssbl.

What is the mistake here?

For (1) xyz could be even if x is even.

Hope it's clear.

Bit confusing Bunuel because xyz here was interpreted by me as some three digit number with x in hundred's place , y in ten's place and z in one's place rather than X*Y*Z. Not sure if I am thinking too much into it. I do recollect seeing one question in this forum where xyz was interpreted as a three digit number.

Please read the whole thread: if-x-y-and-z-are-all-positive-integers-what-is-the-142058.html#p1231781
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Re: If x, y, and z are all positive integers, what is the  [#permalink]

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09 May 2014, 07:28
Bunuel wrote:
BangOn wrote:
I am concerned about what yz represents here. Possibilities
1) product of y and z
2) representation of last two digits.

Representation of last two digit makes little sense.
Ok. Thanks Brunnel.

xyz means x*y*z. If it were otherwise it would be explicitly stated.

Thanks Bunuel .. This clears it nicely for me !!
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Re: If x, y, and z are all positive integers, what is the  [#permalink]

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16 Apr 2018, 03:31
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Re: If x, y, and z are all positive integers, what is the &nbs [#permalink] 16 Apr 2018, 03:31

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# If x, y, and z are all positive integers, what is the

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