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If the remainder when positive integer y is divided by 9 is 3 and the

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If the remainder when positive integer y is divided by 9 is 3 and the  [#permalink]

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New post 06 Apr 2018, 04:34
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If the remainder when positive integer y is divided by 9 is 3 and the remainder when y is divided by 6 is also 3, what is the smallest possible value of y?

A. 3
B. 12
C. 18
D. 21
E. 27

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Re: If the remainder when positive integer y is divided by 9 is 3 and the  [#permalink]

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New post 06 Apr 2018, 04:41
Bunuel wrote:
If the remainder when positive integer y is divided by 9 is 3 and the remainder when y is divided by 6 is also 3, what is the smallest possible value of y?

A. 3
B. 12
C. 18
D. 21
E. 27


If the remainder when positive integer y is divided by 9 is 3

y= 9k+3 -->(1)

the remainder when y is divided by 6 is also 3

y= 6k+3 -->(2)

From (1) & (2) if k=0 then it is 3

Hence A

Also you can use Ans options, which gives 3 & 21
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Re: If the remainder when positive integer y is divided by 9 is 3 and the  [#permalink]

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New post 06 Apr 2018, 05:07
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1st condition: n= 9q+3 so n could be 3, 12, 21, 30
2nd condi : n= 6q + 3 so n could be 3,9, 15, 21, 27
so common term = 3 & 21
check next number - 3+18 =21 which also yields remainder 3 on division by 6 & 9.
hence smallest value is 3. Answer is A.
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Re: If the remainder when positive integer y is divided by 9 is 3 and the  [#permalink]

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New post 08 Apr 2018, 06:56
1
1st condition: n= 9q+3 so n could be 3, 12, 21, 30
2nd condi : n= 6q + 3 so n could be 3,9, 15, 21, 27
so common term = 3 & 21
check next number - 3+18 =21 which also yields remainder 3 on division by 6 & 9.
hence smallest value is 3. Answer is A.
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Re: If the remainder when positive integer y is divided by 9 is 3 and the &nbs [#permalink] 08 Apr 2018, 06:56
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