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# If a, b, and c are consecutive even integers, what is the value of b?

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Intern
Joined: 08 Jun 2017
Posts: 12
If a, b, and c are consecutive even integers, what is the value of b?  [#permalink]

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Updated on: 15 Oct 2017, 00:34
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Question Stats:

81% (01:14) correct 19% (01:07) wrong based on 46 sessions

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If a, b, and c are consecutive even integers, what is the value of b?

(1) a + c = 0

(2) b x c = b x a

(Source: Princeton Review Test 6)

Originally posted by aashaybaindurgmat on 14 Oct 2017, 20:30.
Last edited by Bunuel on 15 Oct 2017, 00:34, edited 2 times in total.
Renamed the topic.
Intern
Joined: 28 Dec 2010
Posts: 49
Re: If a, b, and c are consecutive even integers, what is the value of b?  [#permalink]

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14 Oct 2017, 20:52
OA is incorrect. Answer would be D.

1. a+c =0
This means a = -2, and the c = 2.
So, b=0.
Can Solve.

2. b*c = b*a
This means
Either b=0
Or c = a.

Since they are consecutive integers, c != a, So b=0 would be true.
Can Solve.

Hence D.
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Re: If a, b, and c are consecutive even integers, what is the value of b?  [#permalink]

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Updated on: 14 Oct 2017, 22:58
aashaybaindurgmat wrote:
If a, b, and c are consecutive even integers, what is the value of b?

(1) a + c = 0

(2) b x c = b x a

(Source: Princeton Review Test 6)

as $$a$$, $$b$$, $$c$$ are consecutive integers so $$median=mean$$ $$b=\frac{(a+b+c)}{3}$$

Statement 1: provides the value of $$a+c$$, hence $$b=0$$. Sufficient

Statement 2: implies $$bc-ba=0 => b(c-a)=0$$

$$b=0$$ or $$a=c$$. $$a$$ cannot be equal to $$c$$ as numbers are consecutive. Hence $$b=0$$. sufficient

Option D

Originally posted by niks18 on 14 Oct 2017, 22:27.
Last edited by niks18 on 14 Oct 2017, 22:58, edited 1 time in total.
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Re: If a, b, and c are consecutive even integers, what is the value of b?  [#permalink]

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14 Oct 2017, 22:53
a+c = 0 in case of consecutive even integer the value should be -2 and 2 so be should be 0, Sufficient.
a*b = b* c means b should be 0 so Sufficient (because of Even consecutive integer).

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Re: If a, b, and c are consecutive even integers, what is the value of b? &nbs [#permalink] 14 Oct 2017, 22:53
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