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A certain meter records voltage between 0 and 10, inclusive

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A certain meter records voltage between 0 and 10, inclusive  [#permalink]

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New post Updated on: 03 Feb 2012, 04:56
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A certain meter records voltage between 0 and 10, inclusive. If the average of 3 readings was 8, what is the smallest possible reading?

A: 2
B: 3
C: 4
D: 5
E: 6

Originally posted by Bamsefar on 27 Nov 2011, 06:26.
Last edited by Bunuel on 03 Feb 2012, 04:56, edited 1 time in total.
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Re: GMATprep question  [#permalink]

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New post 27 Nov 2011, 10:51
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If the average of three readings was 8, then the sum of the three readings would be 8*3 = 24.

Now, to get the smallest possible value for one reading, make the other two readings as large as possible (10). Therefore the smallest possible reading = 24 - 10 - 10 = 4

Option (C)
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Re: A certain meter records voltage between 0 and 10, inclusive  [#permalink]

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New post 01 Aug 2017, 20:55
Bamsefar wrote:
A certain meter records voltage between 0 and 10, inclusive. If the average of 3 readings was 8, what is the smallest possible reading?

A: 2
B: 3
C: 4
D: 5
E: 6


Average of \(3\) readings was \(8\)

Therefore Sum of \(3\) readings \(= 8 * 3 = 24\)

Meter records voltage between \(0\) and \(10\), inclusive.

\(2\) Highest possible reading would be \(= 10 + 10 = 20\)

Therefore Smallest possible reading would be \(= 24 -20 = 4\)

Answer (C)...

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Re: A certain meter records voltage between 0 and 10, inclusive  [#permalink]

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New post 17 Oct 2018, 07:37
Bamsefar wrote:
A certain meter records voltage between 0 and 10, inclusive. If the average of 3 readings was 8, what is the smallest possible reading?

A: 2
B: 3
C: 4
D: 5
E: 6


OA:C

Let the three reading be \(x,y\) and \(z\).

According to the question

\(8=\frac{x+y+z}{3}\)

\(x+y+z=24\)

For finding the smallest possible reading, the other two should be maximum possible reading.

\(x+10+10=24\)

\(x=24-20=4\)
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Re: A certain meter records voltage between 0 and 10, inclusive  [#permalink]

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New post 18 Oct 2018, 17:26
Bamsefar wrote:
A certain meter records voltage between 0 and 10, inclusive. If the average of 3 readings was 8, what is the smallest possible reading?

A: 2
B: 3
C: 4
D: 5
E: 6



To make one number as small as possible, the other two numbers must be as large as possible. Thus, we will let the two greatest voltage readings be 10, and he lowest reading be n and create the equation for the average of the 3 readings:

(n + 10 + 10)/3 = 8

n + 20 = 24

n = 4

Answer: C
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Re: A certain meter records voltage between 0 and 10, inclusive &nbs [#permalink] 18 Oct 2018, 17:26
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