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If m is an integer, is m^4 divisible by 5?

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If m is an integer, is m^4 divisible by 5?  [#permalink]

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New post 02 Nov 2016, 03:00
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

98% (01:03) correct 2% (00:44) wrong based on 62 sessions

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Re: If m is an integer, is m^4 divisible by 5?  [#permalink]

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New post 02 Nov 2016, 03:06
Bunuel wrote:
If m is an integer, is m^4 divisible by 5?

(1) m is divisible by 2
(2) m^3 is divisible by 125

B
Sufficient to know 125 as a factor.

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Re: If m is an integer, is m^4 divisible by 5?  [#permalink]

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New post 02 Nov 2016, 03:41
1
Bunuel wrote:
If m is an integer, is m^4 divisible by 5?

(1) m is divisible by 2
(2) m^3 is divisible by 125


IMO B

from statement 1
m=6 in this case m^4=1296 not divisible by 5
m=10 in this case m^4=10000 divisible by 5
hence insufficient

from statement 2
minimum value of m=5 as m^3 is divisible by 125
so value of m can be 5 or multiples of 5 (5, 10, 15, 20, 25 etc)
hence sufficient
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Re: If m is an integer, is m^4 divisible by 5?  [#permalink]

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New post 02 Nov 2016, 05:46
Forget Conventional Methods here(it sounds cool when i say that eh?)
Use the property => K and K^n always have the same exact prime factors.
Statement1=> m=2 => NO
m=10=> YES
insuff
Statement 2 => From this statement we can say that m must have 5 as its prime.
Hence m^5 must be divisible by 5.
Suff

Hence B
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Re: If m is an integer, is m^4 divisible by 5?  [#permalink]

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New post 02 Nov 2016, 12:22
Bunuel wrote:
If m is an integer, is m^4 divisible by 5?

(1) m is divisible by 2
(2) m^3 is divisible by 125



1. m is divisible by 2 i.e. m is even number which can not be divisible by 5(odd number)
IN SUFFICIENT

2. m^3 is divisible by 125
as 5 is a factor of 125, so m^4 must be divisible by 5.
SUFFICIENT

ANSWER=B


ALL THE VERY BEST FOR YOUR PREPERATION.
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Re: If m is an integer, is m^4 divisible by 5?  [#permalink]

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New post 17 Jul 2017, 17:05
Bunuel wrote:
If m is an integer, is m^4 divisible by 5?

(1) m is divisible by 2
(2) m^3 is divisible by 125


Statement 1

No because m could be 10, 4 or a bunch of other numbers

Statement 2

m^3/5^3 = integer so

m^3 x m/5 = integer

B
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Re: If m is an integer, is m^4 divisible by 5?   [#permalink] 17 Jul 2017, 17:05
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If m is an integer, is m^4 divisible by 5?

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