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When the positive integer n is divided by 3, the remainder i [#permalink]
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When the positive integer n is divided by 3, the remainder is 2 and when n is divided by 5, the remainder is 1. What is the least possible value of n?

[Reveal] Spoiler: OA
11

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Question: 15
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Re: When the positive integer n is divided by 3, the remainder i [#permalink]
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Carcass wrote:
When the positive integer n is divided by 3, the remainder is 2 and when n is divided by 5, the remainder is 1. What is the least possible value of n?

When it comes to remainders, we have a nice rule that says:
If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc.

For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc.

GIVEN: When the positive integer n is divided by 3, the remainder is 2
The possible values of n are: 2, 5, 8, 11, 14, 17, 20,...

GIVEN: When n is divided by 5, the remainder is 1
The possible values of n are: 1, 6, 11, 16, 21,...

11 is the smallest value that appears in both lists of possible n-values.

Cheers,
Brent
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Re: When the positive integer n is divided by 3, the remainder i [#permalink]
When positive integer n is divided by 3, the remainder is 2; and when positive integer t is divided by 5, the remainder is 3. If n-2 is divisible by 5 and t is divisible by 3. What is the remainder when the product nt is divided by 15 ?

a)0 b)1 c)2 d)3 e)5 Re: When the positive integer n is divided by 3, the remainder i   [#permalink] 08 Jan 2020, 08:49
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