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The arithmetic average of 20 numbers is A. The arithmetic average of 1
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16 Aug 2021, 01:49
16 Aug 2021, 01:49
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The arithmetic average of 20 numbers is A. The arithmetic average of 10 of the number is 16. In terms of A, what is the arithmetic average of the remaining 10 numbers?
(A) A - 8
(B) 16 - A
(C) 16 - 2A
(D) 2A - 16
(E) 20A - 6
(A) A - 8
(B) 16 - A
(C) 16 - 2A
(D) 2A - 16
(E) 20A - 6
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
The arithmetic average of 20 numbers is A. The arithmetic average of 1
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16 Aug 2021, 10:00
16 Aug 2021, 10:00
1
is it the first time posted, or may be I used timer earlier
\(16*1/2 + x*1/2 = A\) OR \(160+10x=20A\)
\(16+x=2A\) ---> \(x=2A-16\) OR
\(10x=20A-160\) ---> \(x=2A-16\)
answer is D
\(16*1/2 + x*1/2 = A\) OR \(160+10x=20A\)
\(16+x=2A\) ---> \(x=2A-16\) OR
\(10x=20A-160\) ---> \(x=2A-16\)
answer is D
Carcass wrote:
The arithmetic average of 20 numbers is A. The arithmetic average of 10 of the number is 16. In terms of A, what is the arithmetic average of the remaining 10 numbers?
(A) A - 8
(B) 16 - A
(C) 16 - 2A
(D) 2A - 16
(E) 20A - 6
(A) A - 8
(B) 16 - A
(C) 16 - 2A
(D) 2A - 16
(E) 20A - 6
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The arithmetic average of 20 numbers is A. The arithmetic average of 1
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17 Aug 2021, 06:47
17 Aug 2021, 06:47
1
Carcass wrote:
The arithmetic average of 20 numbers is A. The arithmetic average of 10 of the number is 16. In terms of A, what is the arithmetic average of the remaining 10 numbers?
(A) A - 8
(B) 16 - A
(C) 16 - 2A
(D) 2A - 16
(E) 20A - 6
(A) A - 8
(B) 16 - A
(C) 16 - 2A
(D) 2A - 16
(E) 20A - 6
Let's create a nice set of values that satisfy the given conditions.
Let's say the set of 20 numbers is {16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16}
The arithmetic average of 20 numbers is A
So, A = 16
The arithmetic average of 10 of the numbers is 16
So, the average of {16, 16, 16, 16, 16, 16, 16, 16, 16, 16} is clearly 16
What is the arithmetic average of the remaining 10 numbers?
In other words, what is the arithmetic average of {16, 16, 16, 16, 16, 16, 16, 16, 16, 16}
Well, the average is 16
So, we want an answer choice that yields an OUTPUT of 16 when A = 16
Check the answer choices...
(A) 16 - 8 = 8. No good. We want an output if 16
(B) 16 - 16 = 0. No good. We want an output if 16
(C) 16 - 2(16) = -16. No good. We want an output if 16
(D) 2(16) - 16 = 16. PERFECT!
(E) 20(16) - 6 = 314. No good. We want an output if 16
Answer: D
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