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# When n is divided by 21, the remainder is 4. What is the remainder whe

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When n is divided by 21, the remainder is 4. What is the remainder whe  [#permalink]

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20 Apr 2016, 23:32
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Difficulty:

5% (low)

Question Stats:

89% (00:59) correct 11% (01:09) wrong based on 71 sessions

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When n is divided by 21, the remainder is 4. What is the remainder when n + 16 is divided by 7?

A. 2
B. 3
C. 4
D. 5
E. 6

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Re: When n is divided by 21, the remainder is 4. What is the remainder whe  [#permalink]

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21 Apr 2016, 01:41
1
Bunuel wrote:
When n is divided by 21, the remainder is 4. What is the remainder when n + 16 is divided by 7?

A. 2
B. 3
C. 4
D. 5
E. 6

Assume n = 25
Remainder (n/21) = 4

n+16 = 41
Remainder (41/7) = 6
Option E
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Re: When n is divided by 21, the remainder is 4. What is the remainder whe  [#permalink]

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21 Apr 2016, 20:52
1
Bunuel wrote:
When n is divided by 21, the remainder is 4. What is the remainder when n + 16 is divided by 7?

A. 2
B. 3
C. 4
D. 5
E. 6

Here's an alternate solution:
When n is divided by 21, the remainder is 4
So, n = 21k + 4
What is the remainder when n + 16 is divided by 7?
n + 16 = 21k + 20
Or, n + 16 = 21k + 14 + 6
Both 21k and 14 are divisible by 7, but 6 is not.
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Re: When n is divided by 21, the remainder is 4. What is the remainder whe  [#permalink]

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22 Apr 2016, 10:31
Since 21 is a multiple of 7 and 4 is smaller than 7, then n divided by 7 also yields a remainder of 4
So : 4 + 16 = 20/7, remainder = 6
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Re: When n is divided by 21, the remainder is 4. What is the remainder whe  [#permalink]

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08 Dec 2017, 23:35
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Re: When n is divided by 21, the remainder is 4. What is the remainder whe &nbs [#permalink] 08 Dec 2017, 23:35
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