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For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ
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16 Feb 2017, 03:31
Question Stats:
62% (01:05) correct 38% (01:41) wrong based on 61 sessions
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For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ
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Updated on: 16 Feb 2017, 21:53
Bunuel wrote: For integers x, y, and z, \(3^x4^y5^z=54675\). What is the value of product xyz?
A. 0 B. 15 C. 30 D. 45 E. Cannot be determined Given that \(3^x4^y5^z=54675\), notice that 54675is not divisible by 4 (using divisibility rule of 4) so y=0 and therefore x*y*z =0 Hence Option A is correct. Hit Kudos if you liked it
Originally posted by 0akshay0 on 16 Feb 2017, 03:44.
Last edited by 0akshay0 on 16 Feb 2017, 21:53, edited 2 times in total.



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Re: For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ
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16 Feb 2017, 03:45
if we do prime factorization of 382725 we will result : 5^2 *3^7 *7. if so 4^y should be 7, which is not possible from the argument.
i think answer is E



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Re: For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ
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16 Feb 2017, 07:16
prime factorize..
4^y should account for 7, hence cannot be determined.
Ans E



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Re: For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ
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16 Feb 2017, 08:07
Bunuel wrote: For integers x, y, and z, \(3^x4^y5^z=382725\). What is the value of product xyz?
A. 0 B. 15 C. 30 D. 45 E. Cannot be determined \(3^x*4^y*5^z=382725 = 3^7 * 5^2 * 7^1\) So, we do not have any 4's in the Factorization, thus, answer must be (E) Cannot be determined
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Re: For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ
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16 Feb 2017, 09:09
Bunuel wrote: For integers x, y, and z, \(3^x4^y5^z=382725\). What is the value of product xyz?
A. 0 B. 15 C. 30 D. 45 E. Cannot be determined Hi, It is given that x, y and z are integers... So 4^y cannot be 7... Value of y as an integer has to be 0, so product xyz is 0.. Bunuel, some error in Q, could be typo.. There has to be 7 on left hand side..
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Re: For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ
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16 Feb 2017, 10:48
chetan2u wrote: Bunuel wrote: For integers x, y, and z, \(3^x4^y5^z=382725\). What is the value of product xyz?
A. 0 B. 15 C. 30 D. 45 E. Cannot be determined Hi, It is given that x, y and z are integers... So 4^y cannot be 7... Value of y as an integer has to be 0, so product xyz is 0.. Bunuel, some error in Q, could be typo.. There has to be 7 on left hand side.. You are right but the original question does not have it. Edited the question to correct the issue. Thank you for noticing.
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Re: For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ
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16 Feb 2017, 12:03
Option AGiven: \(3^x4^y5^z = 54675; xyz = ?\) :5467 5 is an odd number, hence can't have any even factors or in other words y = 0 (\(4^0 = 1\)). : xyz = 0
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