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# When a certain number X is divided by 63, the remainder is 27. What is

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When a certain number X is divided by 63, the remainder is 27. What is  [#permalink]

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14 Apr 2016, 23:57
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When a certain number X is divided by 63, the remainder is 27. What is the remainder when X is divided by 7?

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

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Re: When a certain number X is divided by 63, the remainder is 27. What is  [#permalink]

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15 Apr 2016, 03:00
2
When a certain number X is divided by 63, the remainder is 27. What is the remainder when X is divided by 7?

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

Putting a value say x = 27 we get remainder as 27 when divided by 63.
When 27 divided by 7 we get 6 as remainder.

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Re: When a certain number X is divided by 63, the remainder is 27. What is  [#permalink]

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15 Apr 2016, 10:11
Let possible value of x is 90

least possible value of x/7 is 90/7 => 17 quotient with remainder 6

PS : Personally I like @FightToSurvive's approach (Kudos added )
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Re: When a certain number X is divided by 63, the remainder is 27. What is  [#permalink]

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15 Apr 2016, 23:24
2
Bunuel wrote:
When a certain number X is divided by 63, the remainder is 27. What is the remainder when X is divided by 7?

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

Grouping can be used here too.
When x balls are divided in groups of 63, we make groups of 63 balls each and 27 balls are leftover. When the same x balls will be divided into groups of 7, each group of 63 will neatly split into nine groups of 7 balls each. Out of 27 balls, we can make three groups of 7 balls each and we will be left with 6 balls.

For more on grouping, check this link: http://www.veritasprep.com/blog/2011/04 ... unraveled/
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Re: When a certain number X is divided by 63, the remainder is 27. What is  [#permalink]

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15 Jun 2020, 20:39
1
Bunuel wrote:
When a certain number X is divided by 63, the remainder is 27. What is the remainder when X is divided by 7?

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

Given: When a certain number X is divided by 63, the remainder is 27.
Asked: What is the remainder when X is divided by 7?

X = 63k + 27; where k is an integer
X = 7(9k+3) + 6

IMO E
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Re: When a certain number X is divided by 63, the remainder is 27. What is  [#permalink]

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16 Jun 2020, 14:57
Bunuel wrote:
When a certain number X is divided by 63, the remainder is 27. What is the remainder when X is divided by 7?

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

We can basically find out the number by adding 27 to 63. So the number is 90.

We know 91 is a multiple of 7. So 90 will leave a remainder of 6.

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Re: When a certain number X is divided by 63, the remainder is 27. What is  [#permalink]

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20 Jun 2020, 12:30
Bunuel wrote:
When a certain number X is divided by 63, the remainder is 27. What is the remainder when X is divided by 7?

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

Solution:

We can let X = 27, so 27/7 = 3 remainder 6.

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Re: When a certain number X is divided by 63, the remainder is 27. What is   [#permalink] 20 Jun 2020, 12:30