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Is the integer n divisible by 20?

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Is the integer n divisible by 20?  [#permalink]

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New post 01 Nov 2018, 07:27
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Difficulty:

  25% (medium)

Question Stats:

85% (00:42) correct 15% (00:32) wrong based on 33 sessions

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Re: Is the integer n divisible by 20?  [#permalink]

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New post 01 Nov 2018, 08:14
gmatbusters wrote:
Is the integer n divisible by 20?
(1) n is divisible by 5
(2) n is divisible by 6



Prime factorization 20 = 2^2*5, thus n should be divisible by both 2^2 and 5

Combined it tells us that n is divisible by 2*3*5=30 or a multiple of 30.
Thus n can be divisible by 30 or 60
Insufficient

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Is the integer n divisible by 20?  [#permalink]

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New post 01 Nov 2018, 08:24
gmatbusters wrote:
Is the integer n divisible by 20?
(1) n is divisible by 5
(2) n is divisible by 6


n/20 = integer

it means n is 0,20,40,60 etc..

Statement 1) n is divisible by 5 so it means n is 0, 5, 10, 15, 20,25,30 ..... 60

if n = 20 then yes if n = 5 then no.

Insufficient.

Statement 2) n is divisible by 6 so it means n is 0,6,12,18,24,30.... 60

if n = 0 then 0/20 = 0 yes divisible.

if n = 6 no.

Combined we get n can be 0,30,60 etc..

So insufficient.

E
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Is the integer n divisible by 20? &nbs [#permalink] 01 Nov 2018, 08:24
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Is the integer n divisible by 20?

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