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Re: If a, b, c are three consecutive positive even integers, which of the [#permalink]
three consecutive numbers be x,x+2,x+4
sum ;3x+6 or say 3 * (x+2)
possible integer values would stand valid at I & III only
option D


Bunuel wrote:
If a, b, c are three consecutive positive even integers, which of the following must be an integer?

I. \(\frac{(a+b+c)}{2}\)
II. \(\frac{(a+b+c)}{4}\)
III. \(\frac{(a+b+c)}{6}\)

A. I only
B. III only
C. I and II only
D. I and III only
E. I, II and III
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If a, b, c are three consecutive positive even integers, which of the [#permalink]
Bunuel wrote:
If a, b, c are three consecutive positive even integers, which of the following must be an integer?

I. \(\frac{(a+b+c)}{2}\)
II. \(\frac{(a+b+c)}{4}\)
III. \(\frac{(a+b+c)}{6}\)

A. I only
B. III only
C. I and II only
D. I and III only
E. I, II and III

Let the even positive integers be \(2n\) , \(2n + 2\) & \(2n + 4\)

I. \(\frac{(a+b+c)}{2} = \frac{2n + 2n +2 +2n +4}{2}= \frac{6n + 6}{2} = 3n +3\)
II. \(\frac{(a+b+c)}{4} = \frac{2n + 2n +2 +2n +4}{4}= \frac{6n + 6}{4}\)
III. \(\frac{(a+b+c)}{6} = \frac{2n + 2n +2 +2n +4}{6}= \frac{6n + 6}{6} = n+1\)

Hence, Answer must be I. & III, (D)
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Re: If a, b, c are three consecutive positive even integers, which of the [#permalink]
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Re: If a, b, c are three consecutive positive even integers, which of the [#permalink]
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