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655-705 (Hard)|   Remainders|      
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Bunuel
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If x, y, and z are all positive integers, what is the 09 May 2014, 04:03
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himanshujovi
Bunuel
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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.
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Please read the whole thread: if-x-y-and-z-are-all-positive-integers-what-is-the-142058.html#p1231781
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If x, y, and z are all positive integers, what is the 09 May 2014, 08:28
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Bunuel
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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.
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Thanks Bunuel .. This clears it nicely for me !! :)
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If x, y, and z are all positive integers, what is the 22 Nov 2024, 02:06
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