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# Which one of the following numbers can be removed from the set S = {0,

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Math Expert
Joined: 02 Sep 2009
Posts: 58428
Which one of the following numbers can be removed from the set S = {0,  [#permalink]

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09 Apr 2019, 23:43
00:00

Difficulty:

15% (low)

Question Stats:

89% (00:52) correct 11% (00:50) wrong based on 19 sessions

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Which one of the following numbers can be removed from the set S = {0, 2, 4, 5, 9} without changing the average of set S?

(A) 0
(B) 2
(C) 4
(D) 5
(E) 9

Source: Nova GMAT
Difficulty Level: 600

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Intern
Joined: 27 Sep 2018
Posts: 37
Re: Which one of the following numbers can be removed from the set S = {0,  [#permalink]

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10 Apr 2019, 00:08
Avg of given set=(0+2+4+5+9)/5=4

Let the number removed be x so that there is no change in average of set

Now atq (0+2+4+5+9-x)/4=4
Solving for x we get, 20-x=16
X=4

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Joined: 31 Oct 2013
Posts: 1465
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Which one of the following numbers can be removed from the set S = {0,  [#permalink]

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10 Apr 2019, 00:50
Bunuel wrote:
Which one of the following numbers can be removed from the set S = {0, 2, 4, 5, 9} without changing the average of set S?

(A) 0
(B) 2
(C) 4
(D) 5
(E) 9

Average of the set = 0 + 2 + 4 + 5 + 9 / 5 = 4

Average will remain same if we remove 4.

Sum of the set = 0 + 2 + 4 + 5 + 9 = 20

20 - 4 / 4 = 4.

Thus C is the correct answer.
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Joined: 29 Nov 2018
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Re: Which one of the following numbers can be removed from the set S = {0,  [#permalink]

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10 Apr 2019, 01:14
(0+2+4+5+9)/5=4
Lets remove 0
(2+4+5+9)/5=4
Manager
Joined: 19 Jan 2019
Posts: 93
Re: Which one of the following numbers can be removed from the set S = {0,  [#permalink]

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10 Apr 2019, 01:19
djdli wrote:
(0+2+4+5+9)/5=4
Lets remove 0
(2+4+5+9)/5=4

2,4,5 and 9 are 4 terms....

(2+4+5+9)/4 = 5.... Not 4

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Location: India
Concentration: Sustainability, Marketing
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Re: Which one of the following numbers can be removed from the set S = {0,  [#permalink]

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10 Apr 2019, 01:48
Bunuel wrote:
Which one of the following numbers can be removed from the set S = {0, 2, 4, 5, 9} without changing the average of set S?

(A) 0
(B) 2
(C) 4
(D) 5
(E) 9

sum of no S = {0, 2, 4, 5, 9} 20 and avg = 4
so target is to remove a no and get same avg or say total = 4*4 ; 16
so remove 4 we get sum = 16
IMO C
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Re: Which one of the following numbers can be removed from the set S = {0,  [#permalink]

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10 Apr 2019, 01:54
djdli wrote:
(0+2+4+5+9)/5=4
Lets remove 0
(2+4+5+9)/5=4

If u remove zero, the number of remaining numbers is four.
Thus new mean =20/4=5 which is NOT EQUAL to existing mean (4).
Thus, u should not remove ZERO for getting the same mean.

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Re: Which one of the following numbers can be removed from the set S = {0,   [#permalink] 10 Apr 2019, 01:54
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