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# If m is the median of the first 10 positive multiples of 2 and A is th

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Math Expert
Joined: 02 Sep 2009
Posts: 43796
If m is the median of the first 10 positive multiples of 2 and A is th [#permalink]

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31 Jan 2017, 09:19
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Difficulty:

5% (low)

Question Stats:

94% (00:54) correct 6% (00:56) wrong based on 62 sessions

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If m is the median of the first 10 positive multiples of 2 and A is the average (arithmetic mean) of the first 10 positive multiples of 2 what is the value of A – m?

A. 2
B. 1
C. 0
D. –1
E. -2
[Reveal] Spoiler: OA

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Director
Joined: 07 Dec 2014
Posts: 906
Re: If m is the median of the first 10 positive multiples of 2 and A is th [#permalink]

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31 Jan 2017, 09:55
Bunuel wrote:
If m is the median of the first 10 positive multiples of 2 and A is the average (arithmetic mean) of the first 10 positive multiples of 2 what is the value of A – m?

A. 2
B. 1
C. 0
D. –1
E. -2

2+9*2=20
(2+20)/2*10=110
A=110/10=11
m=(10+12)/2=11
A-m=0
Intern
Joined: 25 Apr 2016
Posts: 25
Concentration: Entrepreneurship, Marketing
Re: If m is the median of the first 10 positive multiples of 2 and A is th [#permalink]

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31 Jan 2017, 22:05
Bunuel wrote:
If m is the median of the first 10 positive multiples of 2 and A is the average (arithmetic mean) of the first 10 positive multiples of 2 what is the value of A – m?

A. 2
B. 1
C. 0
D. –1
E. -2

Assuming the series to be 2,4,6,8,.....,20

Sum = 10/2(2*2 + 2(10-1)) = 110 [Using AP formula]
Mean = Sum/n = 110/10 = 11

Median = (10+12)/2 = 11

A-m =0
Senior Manager
Joined: 24 Oct 2016
Posts: 317
Location: India
Schools: IIMB
GMAT 1: 550 Q42 V28
GPA: 3.96
WE: Human Resources (Retail Banking)
Re: If m is the median of the first 10 positive multiples of 2 and A is th [#permalink]

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10 Mar 2017, 22:29
1
KUDOS
no need to calculate mean and median as if we know that it is an A.P then the mean and median will be equal always
so the answer must be 0 which is option C
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Status: QA & VA Forum Moderator
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Location: India
GPA: 3.5
Re: If m is the median of the first 10 positive multiples of 2 and A is th [#permalink]

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10 Mar 2017, 23:34
Bunuel wrote:
If m is the median of the first 10 positive multiples of 2 and A is the average (arithmetic mean) of the first 10 positive multiples of 2 what is the value of A – m?

A. 2
B. 1
C. 0
D. –1
E. -2

The first 10 positive multiples of 2 are - $${ 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 }$$

Thus median (m) will be $$\frac{10 + 12}{2}$$ = $$11$$

Average (A) of the first 10 positive multiples of 2 will be = $$11$$

So, A - m = 11 - 11

Thus, answer must be (C) 0

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Thanks and Regards

Abhishek....

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Re: If m is the median of the first 10 positive multiples of 2 and A is th   [#permalink] 10 Mar 2017, 23:34
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