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# What is the remainder when the sum of the positive integers x and y is

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Math Expert
Joined: 02 Sep 2009
Posts: 51185
What is the remainder when the sum of the positive integers x and y is  [#permalink]

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12 Nov 2017, 22:37
00:00

Difficulty:

5% (low)

Question Stats:

92% (01:07) correct 8% (01:07) wrong based on 80 sessions

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What is the remainder when the sum of the positive integers x and y is divided by 6?

(1) When x is divided by 6, the remainder is 3.

(2) When y is divided by 6, the remainder is 1.

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Re: What is the remainder when the sum of the positive integers x and y is  [#permalink]

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12 Nov 2017, 22:46
Option C

St1: x=6(m+3) where m is the quotient. But no info about y. Clearly insufficient

St2: y=6(n+1) where n is the quotient. No info about c. Insufficient

Combining,
x+y= 6(m+n+4)/6
Hence remainder will be 4. Sufficient

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Re: What is the remainder when the sum of the positive integers x and y is  [#permalink]

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15 Nov 2017, 04:14
3
St1: No info about y , hence insufficient.
St2: No info about x, hence insufficient.
Combing St1 & St2
we get to know that remainder is 3+1 = 4.
hence sufficient.
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Re: What is the remainder when the sum of the positive integers x and y is &nbs [#permalink] 15 Nov 2017, 04:14
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