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# Which of the following must be true?

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Joined: 12 Aug 2015
Posts: 2617
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Which of the following must be true?  [#permalink]

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06 Aug 2016, 21:45
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Difficulty:

55% (hard)

Question Stats:

63% (01:58) correct 37% (01:41) wrong based on 99 sessions

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Which of the following must be true?
A) The Average of 93 Consecutive Even integers must be an even integer.
B) The Average of 94 Consecutive Even integers must be an even integer.
C) The Average of N Consecutive is an integer only if N is Odd.
D) For a set of N consecutive integers the Average would be equal to its Median.

1)All of them
2)A,B,D
3)B,C,D
4)A,C,D
5)A,D

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Which of the following must be true?  [#permalink]

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06 Aug 2016, 23:26
1
stonecold wrote:
Which of the following must be true?
A) The Average of 93 Consecutive Even integers must be an even integer.
B) The Average of 94 Consecutive Even integers must be an even integer.
C) The Average of N Consecutive is an integer only if N is Odd.
D) For a set of N consecutive integers the Average would be equal to its Median.

1)All of them
2)A,B,D
3)B,C,D
4)A,C,D
5)A,D

An easy one.

A) The Average of 93 Consecutive Even integers must be an even integer. --> Average of N consecutive Even integers is the middle number if N is odd. Hence, since the middle number is Even, Hence this is statement is true.

B) The Average of 94 Consecutive Even integers must be an even integer. --> Average of N consecutive Even integers is the mean of two middle numbers if N is Even. Hence, since the middles number are both even, their mean would be ODD, Hence this is statement is False.

C) The Average of N Consecutive is an integer only if N is Odd. --> Mean is equal to the middle term if N is odd. Hence True.

D) For a set of N consecutive integers the Average would be equal to its Median. --> if Terms are in AP, Mean=Median. Hence True.
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Re: Which of the following must be true?  [#permalink]

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14 Sep 2018, 10:46
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Re: Which of the following must be true?   [#permalink] 14 Sep 2018, 10:46
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