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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # The average (arithmetic mean) of five numbers is 25. After o  Question banks Downloads My Bookmarks Reviews Important topics
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The average (arithmetic mean) of five numbers is 25. After o [#permalink]
Expert's post 00:00

Question Stats: 90% (00:42) correct 10% (01:48) wrong based on 10 sessions
The average (arithmetic mean) of five numbers is 25. After one of the numbers is removed, the average (arithmetic mean) of the remaining numbers is 31. What number has been removed?

(A) 1

(B) 6

(C) 11

(D) 24

(E) It cannot be determined from the information given.
[Reveal] Spoiler: OA

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Director Joined: 20 Apr 2016
Posts: 828
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 603 , given: 124

Re: The average (arithmetic mean) of five numbers is 25. After o [#permalink]
Carcass wrote:
The average (arithmetic mean) of five numbers is 25. After one of the numbers is removed, the average (arithmetic mean) of the remaining numbers is 31. What number has been removed?

(A) 1

(B) 6

(C) 11

(D) 24

(E) It cannot be determined from the information given.

Here,

We know $$Arithmetic mean = \frac{Sum of numbers}{number of terms}$$

i.e. $$\frac{Sum of numbers}{5} = 25$$

or $$Sum of numbers = 125$$

Now if 1 number is removed then Arithmetic mean = 31

i.e. $$\frac{Sum of numbers}{4} = 31$$

or $$Sum of numbers = 124$$

Therefore $$the number removed = 125 - 124 = 1$$
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