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A certain meter records voltage between 0 and 10 volts

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Senior Manager
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A certain meter records voltage between 0 and 10 volts  [#permalink]

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New post Updated on: 31 Dec 2014, 03:59
3
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A
B
C
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E

Difficulty:

  15% (low)

Question Stats:

73% (00:55) correct 27% (01:17) wrong based on 204 sessions

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A certain meter records voltage between 0 and 10 volts inclusive. If the average value of 3 recordings on the meter was 8 volts, what was the smallest possible recording in volts?

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

Originally posted by getzgetzu on 05 Apr 2006, 03:37.
Last edited by Bunuel on 31 Dec 2014, 03:59, edited 1 time in total.
Added the OA.
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Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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New post 05 Apr 2006, 03:40
Hallo,
If the average of the three outcomes is 8 then ther sum of the measurments is 24. The least possible is when the other 2 are max or 10 volts, then the least is 24-20=4
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Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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New post 05 Apr 2006, 21:39
Total voltage = 24

Cannot be 2 as that will result in 22 being split among two other readings. Assuming 1 reading is 10, there's still one reading that needs to be at 12 volts, which is impossible.

Cannot be 3 as well for the same reasoning.

Smallest reading: 4V

Ans C
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Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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New post 06 Apr 2006, 06:32
if average of 3 is 8 so sum of 3 should be 24

3 recording can be from 0-10 inclusive

to find one smallest other two should be highest

so, lets assume three var are a,b,c

say a is smallest and give b and c greatest readings say 10 and 10

so a has to be 4
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Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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New post 06 Apr 2006, 13:39
C.

3 reading, 3*8 =24,
max can be 10, so 10+10 =20, 24-20 =4


getzgetzu wrote:
A certain meter records voltage between 0 and 10 volts inclusive. If the average value of 3 recordings on the meter was 8 volts, what was the smallest possible recording in volts?

A. 2
B. 3
C. 4D. 5
E. 6
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Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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New post 30 Dec 2014, 23:46
An official question. Please practice. Bumping it up
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Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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New post 20 Apr 2018, 14:56
Top Contributor
getzgetzu wrote:
A certain meter records voltage between 0 and 10 volts inclusive. If the average value of 3 recordings on the meter was 8 volts, what was the smallest possible recording in volts?

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


Sum of values = (# of values)(mean)
So, sum of the 3 readings = (3)(8) = 24

To MINIMIZE one of the readings, we must MAXIMIZE the other two readings.
The maximum reading is 10, so let two of the readings equal 10.

Since the sum of all 3 readings must be 24, the last remaining reading (the SMALLEST reading) must equal 4

Answer: C

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Re: A certain meter records voltage between 0 and 10 volts &nbs [#permalink] 20 Apr 2018, 14:56
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