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Set S is comprised of six distinct positive integers less than 10. Whi

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Joined: 02 Sep 2009
Posts: 59236
Set S is comprised of six distinct positive integers less than 10. Whi  [#permalink]

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New post 18 Oct 2019, 02:26
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

52% (01:28) correct 48% (01:21) wrong based on 42 sessions

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Set S is comprised of six distinct positive integers less than 10. Which of the following must be true?

I: The median is an integer
II: The median is less than the average
III: The range of digits in Set S is less than 8

(A) I only

(B) I & II

(C) II & III

(D) III only

(E) None of the above.

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Re: Set S is comprised of six distinct positive integers less than 10. Whi  [#permalink]

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New post 18 Oct 2019, 02:46
For statements 1&2 we can imagine
Set:{1,2,3,4,5 6}
The median and average, both are 3.5 which is not integer.
For statement 3, we can imagine a set with the greatest member,9 and the least one, 1 which has the range of 8.
So, option E

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Re: Set S is comprised of six distinct positive integers less than 10. Whi   [#permalink] 18 Oct 2019, 02:46
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Set S is comprised of six distinct positive integers less than 10. Whi

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