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If N is a 3-digit positive integer and when N is divided by

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If N is a 3-digit positive integer and when N is divided by [#permalink]

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New post 01 Aug 2008, 03:24
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

. If N is a 3-digit positive integer and when N is divided by 15, the remainder is 2, N=?
(1) When N is divided by 24, the remainder is 2.
(2) When N is divided by 21, the remainder is 2.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

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New post 01 Aug 2008, 04:47
nikhil... pls explain....if there are'nt any previously

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Re: 3 digit no. [#permalink]

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New post 01 Aug 2008, 05:08
arjtryarjtry wrote:
. If N is a 3-digit positive integer and when N is divided by 15, the remainder is 2, N=?
(1) When N is divided by 24, the remainder is 2.
(2) When N is divided by 21, the remainder is 2.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient


we need to find N
let N=15k1 + 2

1.) N = 24k2 + 2
since both the remainders are same, we need to take the LCM of 15 and 24. the equation becomes: 120k12+2...N can be 122,242, etc.

2.)N = 21k3 + 2
using LCM, N = 105k13 + 2 ...again, N can be 107, 212, etc.

Using 1 and 2, N = 840k123 + 2...N is 842

Therefore, C

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Re: 3 digit no. [#permalink]

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New post 01 Aug 2008, 05:13
I see, but no freaking way I can solve this in two minutes or less...
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New post 01 Aug 2008, 05:15
thanks... but if remainders are different, then how do u get the resulting general form...
say A=15k+2
A=12K+3.
SO how do u integrate the two?

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Re: 3 digit no.   [#permalink] 01 Aug 2008, 05:15
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If N is a 3-digit positive integer and when N is divided by

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