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If the remainder is 1 when the integer n is divided by 15, what is the

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Bunuel
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If the remainder is 1 when the integer n is divided by 15, what is the [#permalink] New post   08 Mar 2019, 02:07
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If the remainder is 1 when the positive integer n is divided by 15, what is the remainder when n is divided by 5?

A. 1
B. 2
C. 3
D. 4
E. It cannot be determined from the information given
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A
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Re: If the remainder is 1 when the integer n is divided by 15, what is the [#permalink] New post   08 Mar 2019, 02:12
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When n is divided by 15, the remainder is 1, then n can be 15n+1
When 15n+1 is divided by 5, the remainder is 5n+1.
1 is the remainder.

A is the answer.
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Re: If the remainder is 1 when the integer n is divided by 15, what is the [#permalink] New post   08 Mar 2019, 02:25
IMO A

n can be 16, 31, 46, 61..

In all the cases, the remainder will be 1 after division by 5

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Re: If the remainder is 1 when the integer n is divided by 15, what is the [#permalink] New post   08 Mar 2019, 04:06
Bunuel wrote:
If the remainder is 1 when the positive integer n is divided by 15, what is the remainder when n is divided by 5?

A. 1
B. 2
C. 3
D. 4
E. It cannot be determined from the information given


a number divisible by 15 would result in being divisible by 5 as well ...
so we will get remainder as 1 when n is divided by 5
IMO A
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Re: If the remainder is 1 when the integer n is divided by 15, what is the [#permalink] New post   08 Mar 2019, 04:25
IMO A ,


set of numbers are 16,31,46 etc

and if we divide these by 5 , we get remainder 1

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Re: If the remainder is 1 when the integer n is divided by 15, what is the [#permalink] New post   08 Mar 2019, 05:39
Bunuel wrote:
If the remainder is 1 when the positive integer n is divided by 15, what is the remainder when n is divided by 5?

A. 1
B. 2
C. 3
D. 4
E. It cannot be determined from the information given



n/15 = x + 1

n = 15x + 1, where x is a integer.

n could be, 16 , 31 , 46.

Now divide n by 5.

In all cases , we have remainder 1.

Note: n yields a remainder 1 when divide by 15. Now 5 is a factor of 15. thus, remainder will be same in all cases.

A is the correct answer.
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If the remainder is 1 when the integer n is divided by 15, what is the [#permalink] New post   19 Oct 2022, 11:29
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If the remainder is 1 when the positive integer n is divided by 15

Theory: Dividend = Divisor*Quotient + Remainder

n -> Dividend
15 -> Divisor
a -> Quotient (Assume)
1 -> Remainders

=> n = 15*a + 1 = 15a + 1

What is the remainder when n is divided by 5

n = 15a + 1 = 5*3a + 1
=> n when divided by 5 gives 3a as quotient and 1 as remainder

So, Answer will be A
Hope it helps!

Watch the following video to learn the Basics of Remainders

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If the remainder is 1 when the integer n is divided by 15, what is the [#permalink]
19 Oct 2022, 11:29
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