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What is the remainder if the positive integer y is divided by 3?

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Bunuel
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What is the remainder if the positive integer y is divided by 3? [#permalink] New post   11 Jul 2019, 00:47
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What is the remainder if the positive integer y is divided by 3?

(1) y is an even integer.
(2) y is a multiple of 6.
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B
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abhishekdadarwal2009
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Re: What is the remainder if the positive integer y is divided by 3? [#permalink] New post   11 Jul 2019, 01:02
IMO : B

What is the remainder if the positive integer y is divided by 3?

(1) y is an even integer.
(2) y is a multiple of 6.


1) y can be 2,4,6,8,10,12 and remainders =2,1,0,2,1,0 so we dont know what is the remainder.

2) y is multiple of 6 then we always get remainder =0 so B is correct
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Re: What is the remainder if the positive integer y is divided by 3? [#permalink] New post   11 Jul 2019, 01:06
What is the remainder if the positive integer y is divided by 3?
(1) y is an even integer.

Statement 1 doesn’t really tell us anything about the prime factors of y which yield multiple possibilities 10/3= R1 and 12/3= R0.

(2) y is a multiple of 6

Statement 2 gives us a lot of info. Y is an even integer divisible by both 2 and 3. Since 3 is a prime factor of 6, Y must be divisible by 3; therefor, the remainder is 0. SUFFICIENT

ANSWER: B

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BrentGMATPrepNow
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What is the remainder if the positive integer y is divided by 3? [#permalink] New post   12 Mar 2020, 07:40
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Bunuel wrote:
What is the remainder if the positive integer y is divided by 3?

(1) y is an even integer.
(2) y is a multiple of 6.


Target question: What is the remainder if the positive integer y is divided by 3?

Statement 1: y is an even integer.
So, some possible values of y include: 2, 4, 6, 8, 10, 12, ...etc
Case a: If y = 2, then y divided by 3 leaves a remainder of 2
Case b: If y = 4, then y divided by 3 leaves a remainder of 1
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: y is a multiple of 6
If y is a multiple of 6, then we can write: y = 6k (for some integer k)
We can rewrite this as: y = (3)(2k), which tells us that y is a multiple of 3
If y is a multiple of 3, then y divided by 3 MUST leave a remainder of 0
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent

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