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# Which one of the following could be an integer?

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Joined: 18 Apr 2015
Posts: 4895
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Kudos [?]: 976 [0], given: 4494

Which one of the following could be an integer? [#permalink]  16 Apr 2018, 11:09
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Question Stats:

83% (00:29) correct 16% (02:40) wrong based on 6 sessions
Which one of the following could be an integer?

(A) The average of two consecutive integers
(B) The average of three consecutive integers
(C) The average of four consecutive integers
(D) The average of six consecutive integers
(E) The average of 6 and 9
[Reveal] Spoiler: OA

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Joined: 07 Jan 2018
Posts: 538
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Kudos [?]: 464 [1] , given: 82

Re: Which one of the following could be an integer? [#permalink]  18 Apr 2018, 01:42
1
KUDOS

let $$x$$be the first integer than 2nd integer is$$x+1$$
There average will be $$\frac{2x + 1}{2} = x + \frac{1}{2}$$ which is not a integer

For option B
1st integer = $$x$$
2nd integer = $$x+1$$
3rd integer = $$x+2$$

Hence there average $$= \frac{3x +3}{3}$$ or, $$\frac{3(x+1)}{3} = x + 1$$
since x is an integer $$x +1$$ is also a integer
option B
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Re: Which one of the following could be an integer?   [#permalink] 18 Apr 2018, 01:42
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