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Math Expert V
Joined: 02 Sep 2009
Posts: 60772
If a, b, and c are consecutive integers, such that a < b < c, is their  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 60% (01:28) correct 40% (01:38) wrong based on 42 sessions

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If a, b, and c are consecutive integers, such that a < b < c, is their sum even?

(1) abc = 0
(2) a + c = 0

Are You Up For the Challenge: 700 Level Questions

_________________
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4235
If a, b, and c are consecutive integers, such that a < b < c, is their  [#permalink]

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Top Contributor
Bunuel wrote:
If a, b, and c are consecutive integers, such that a < b < c, is their sum even?

(1) abc = 0
(2) a + c = 0

Are You Up For the Challenge: 700 Level Questions

Given: a, b, and c are consecutive integer, such that a < b < c

Target question: Is a + b + c EVEN?

Statement 1: abc = 0
This tells us that a = 0, b = 0 or c = 0
Here are two possible cases:
Case a: a = 0, b = 1 and c = 2. In this case, a + b + c = 0 + 1 + 2 = 3 (odd). So, the answer to the target question is NO, a + b + c is NOT even
Case b: a = -1, b = 0 and c = 1. In this case, a + b + c = -1 + 0 +1 = 0 (even). So, the answer to the target question is YES, a + b + c IS even
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: a + c = 0
We already know that a, b, and c are consecutive integers, AND a < b < c
So, if a + c = 0, we can be certain that a = -1, b = 0 and c = 1
In this case, a + b + c = -1 + 0 + 1 = 0 (even). So, the answer to the target question is YES, a + b + c IS even
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent
_________________

Originally posted by GMATPrepNow on 06 Dec 2019, 07:32.
Last edited by GMATPrepNow on 09 Dec 2019, 09:19, edited 1 time in total.
Senior Manager  G
Joined: 16 Feb 2015
Posts: 282
Location: United States
Concentration: Finance, Operations
Re: If a, b, and c are consecutive integers, such that a < b < c, is their  [#permalink]

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2
GMATPrepNow wrote:
Bunuel wrote:
If a, b, and c are consecutive integers, such that a < b < c, is their sum even?

(1) abc = 0
(2) a + c = 0

Are You Up For the Challenge: 700 Level Questions

Given: a, b, and c are consecutive integer, such that a < b < c

Target question: Is a + b + c EVEN?

Statement 1: abc = 0
This tells us that a = 0, b = 0 or c = 0
Here are two possible cases:
Case a: a = 0, b = 1 and c = 2. In this case, a + b + c = 0 + 1 + 2 = 3 (odd). So, the answer to the target question is NO, a + b + c is NOT even
Case b: a = 1, b = 2 and c = 3. In this case, a + b + c = 1 + 2 +3 = 5 (even). So, the answer to the target question is YES, a + b + c IS even
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: a + c = 0
We already know that a, b, and c are consecutive integers, AND a < b < c
So, if a + c = 0, we can be certain that a = -1, b = 0 and c = 1
In this case, a + b + c = -1 + 0 + 1 = 0 (even). So, the answer to the target question is YES, a + b + c IS even
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent

Dear GMATPrepNow ,
In Statement 1, It is given : abc=0
In your case b, You have taken values,a = 1, b = 2 and c = 3 Which cannot be Zero, if we multiply them.
Hope you Got my point, Pls explain if i'm wrong.

Regards,
Rajat Chopra
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4235
Re: If a, b, and c are consecutive integers, such that a < b < c, is their  [#permalink]

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Top Contributor
rajatchopra1994 wrote:
Dear GMATPrepNow ,
In Statement 1, It is given : abc=0
In your case b, You have taken values,a = 1, b = 2 and c = 3 Which cannot be Zero, if we multiply them.
Hope you Got my point, Pls explain if i'm wrong.

Regards,
Rajat Chopra

Oops, the catch!
I've edited my response accordingly.
Kudos for you!!!!

Cheers,
Brent
_________________ Re: If a, b, and c are consecutive integers, such that a < b < c, is their   [#permalink] 09 Dec 2019, 09:20
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