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Consider the set S = {2, 3, 4, ...., 2n+1), where n is a positive inte

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Math Expert
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Joined: 02 Sep 2009
Posts: 61510
Consider the set S = {2, 3, 4, ...., 2n+1), where n is a positive inte  [#permalink]

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New post 01 Jan 2020, 02:08
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

62% (02:45) correct 38% (02:40) wrong based on 13 sessions

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Intern
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B
Joined: 30 Dec 2019
Posts: 6
Re: Consider the set S = {2, 3, 4, ...., 2n+1), where n is a positive inte  [#permalink]

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New post 01 Jan 2020, 05:23
Take smaller values of n, such as n=5 or n=6.

Notice that n=5 => X=7,Y=6
n=6 => X=8, Y=7.

As we can see, X=n+2 and Y=n+1.

Hence, X-Y = 1.

Option B
Director
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Concentration: General Management
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Re: Consider the set S = {2, 3, 4, ...., 2n+1), where n is a positive inte  [#permalink]

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New post 01 Jan 2020, 05:41
1
Even set = {2,4,6,8,...2n}
Odd set = {3,5,7,9,...2n+1}

By property, if a certain number x is added to all elements of a set, the average of the set increases by x

By this property, since the odd set is just the even set with 1 added to all elements, the average of the odd set must be 1 greater than the average of the even set

So X-Y=1

Answer is (B)

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Re: Consider the set S = {2, 3, 4, ...., 2n+1), where n is a positive inte   [#permalink] 01 Jan 2020, 05:41
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Consider the set S = {2, 3, 4, ...., 2n+1), where n is a positive inte

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