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# S is a set containing 8 different positive odd numbers

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Manager
Joined: 11 Aug 2012
Posts: 125

Kudos [?]: 135 [0], given: 16

Schools: HBS '16, Stanford '16
S is a set containing 8 different positive odd numbers [#permalink]

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25 Oct 2012, 14:40
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Difficulty:

35% (medium)

Question Stats:

70% (01:06) correct 30% (01:19) wrong based on 157 sessions

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S is a set containing 8 different positive odd numbers. T is a set containing 7 different numbers, all of which are members of S. Which of the following statements CANNOT be true?

(A) The range of T is even.
(B) The mean of S is even.
(C) The mean of T is even.
(D) The range of S is equal to the range of T.
(E) The median of T is equal to the mean of T.
[Reveal] Spoiler: OA

Kudos [?]: 135 [0], given: 16

Manager
Status: Private GMAT Tutor
Joined: 22 Oct 2012
Posts: 86

Kudos [?]: 258 [1], given: 44

Location: India
Concentration: Economics, Finance
Schools: IIMA (A)
GMAT 1: 780 Q51 V47
Re: S is a set containing 8 different positive odd numbers [#permalink]

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25 Oct 2012, 18:58
1
KUDOS
danzig wrote:
S is a set containing 8 different positive odd numbers. T is a set containing 7 di¤erent numbers, all of which are members of S. Which of the following statements CANNOT be true?
(A) The range of T is even.
(B) The mean of S is even.
(C) The mean of T is even.
(D) The range of S is equal to the range of T.
(E) The median of T is equal to the mean of T.

Option C.

Given: S is a set containing 8 different positive odd numbers
Easily inferred: T is a set containing 7 different odd numbers

(A) The range of T is even. - Always even, since it is a difference of two odd numbers
(B) The mean of S is even. - can be. suppose 8 numbers consist of 4 pairs of (16n-1,16n+1) for different values of n. Adding these will give a multiple of 16, which when divided by 8 (to arrive at mean), will give an even number
(C) The mean of T is even. - Cannot be. Mean = (sum of 7 odd numbers)/7 = Odd number/odd number thus cannot be even.
(D) The range of S is equal to the range of T.
(E) The median of T is equal to the mean of T
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Kudos [?]: 258 [1], given: 44

Math Expert
Joined: 02 Sep 2009
Posts: 41893

Kudos [?]: 129091 [0], given: 12194

Re: S is a set containing 8 different positive odd numbers [#permalink]

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26 Oct 2012, 04:09
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BOOKMARKED
danzig wrote:
S is a set containing 8 different positive odd numbers. T is a set containing 7 different numbers, all of which are members of S. Which of the following statements CANNOT be true?

(A) The range of T is even.
(B) The mean of S is even.
(C) The mean of T is even.
(D) The range of S is equal to the range of T.
(E) The median of T is equal to the mean of T.

Similar question to practice: s-is-a-set-containing-9-different-positive-odd-primes-126042.html

Hope it helps.
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Kudos [?]: 129091 [0], given: 12194

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Posts: 16609

Kudos [?]: 273 [0], given: 0

Re: S is a set containing 8 different positive odd numbers [#permalink]

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11 Dec 2015, 02:03
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: S is a set containing 8 different positive odd numbers   [#permalink] 11 Dec 2015, 02:03
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