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# When 15n, where n is a positive integer, is divided by 6,

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Senior Manager
Joined: 06 Jan 2008
Posts: 485
When 15n, where n is a positive integer, is divided by 6,  [#permalink]

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28 Apr 2008, 12:28
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Question Stats:

50% (01:32) correct 50% (01:16) wrong based on 8 sessions

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When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of
x?
(1) When n is divided by 2, the remainder is 0.
(2) When n is divided by 3, the remainder is 0.

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Senior Manager
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28 Apr 2008, 13:11
saravalli wrote:
When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of
x?
(1) When n is divided by 2, the remainder is 0.
(2) When n is divided by 3, the remainder is 0.

15n is 5*3*n , it would be divisible by 6 if n is divisible by 2 and remainder x=0 , condition 1 suffice that

in 2 if n =3 x>0 ; n=6 ;x=0 so insuff
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28 Apr 2008, 18:13
2
1
saravalli wrote:
When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of
x?
(1) When n is divided by 2, the remainder is 0.
(2) When n is divided by 3, the remainder is 0.

The sequence is as follows: 15n(n) - 15(1), 30(2), 45(3), 60(4), 75(5), 90(6), etc.

(1) You know that n is even since any even number divided by two is a whole number. So n can = 2, 4, 6, 8, 10, etc. 15*2=30, 15*4=60, 15*6=90, 15*8=120, etc. All those numbers divided by 6 are whole, meaning that x=0. SUFFICIENT, eliminate BCE.

(2) n must be 3, 6, 9, 12, 15, etc, which means 15n must be 45, 90, 135, 180, 225, etc. 45/6=7r3, 90/6=15r0, 135/6=22r3, 180/6=30, 225/6=37r3. Half the time x=3 and the other half the time x=0. INSUFFICIENT, eliminate D.

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Re: When 15n, where n is a positive integer, is divided by 6,  [#permalink]

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17 Sep 2018, 04:52
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Re: When 15n, where n is a positive integer, is divided by 6, &nbs [#permalink] 17 Sep 2018, 04:52
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