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# When the integer n is divided by 24, the remainder is 21. Which of the

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Math Expert
Joined: 02 Sep 2009
Posts: 55802
When the integer n is divided by 24, the remainder is 21. Which of the  [#permalink]

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29 Nov 2018, 00:36
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84% (00:54) correct 16% (01:03) wrong based on 59 sessions

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When the integer n is divided by 24, the remainder is 21. Which of the following must be a divisor of n ?

A. 3
B. 4
C. 5
D. 6
E. 9

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Re: When the integer n is divided by 24, the remainder is 21. Which of the  [#permalink]

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29 Nov 2018, 03:46
Bunuel wrote:
When the integer n is divided by 24, the remainder is 21. Which of the following must be a divisor of n ?

A. 3
B. 4
C. 5
D. 6
E. 9

N= 24*a+21

N can be : @ a:1 45 then divisor can be 9 & 5
@ a:2, n 69 , only divisor would be 3 IMO A ...
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Re: When the integer n is divided by 24, the remainder is 21. Which of the  [#permalink]

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29 Nov 2018, 06:35
Bunuel wrote:
When the integer n is divided by 24, the remainder is 21. Which of the following must be a divisor of n ?

A. 3
B. 4
C. 5
D. 6
E. 9

n/24 = q + 21

n = 24q + 21

n = 3(8q + 7)

Option A. 3 is our answer. n is divisible by 3.
Re: When the integer n is divided by 24, the remainder is 21. Which of the   [#permalink] 29 Nov 2018, 06:35
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