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

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

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New post Updated on: 15 Oct 2017, 00:34
00:00
A
B
C
D
E

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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.
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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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New post 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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New post 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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New post 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).

So answer should be D
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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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If a, b, and c are consecutive even integers, what is the value of b?

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