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# A certain meter records voltage between 0 and 10 volts

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Senior Manager
Joined: 08 Aug 2005
Posts: 251
A certain meter records voltage between 0 and 10 volts  [#permalink]

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Updated on: 31 Dec 2014, 02:59
3
00:00

Difficulty:

15% (low)

Question Stats:

74% (00:56) correct 26% (01:16) wrong based on 217 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, 02:37.
Last edited by Bunuel on 31 Dec 2014, 02:59, edited 1 time in total.
Director
Joined: 13 Nov 2003
Posts: 766
Location: BULGARIA
Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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05 Apr 2006, 02:40
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
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 4803
Location: Singapore
Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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05 Apr 2006, 20:39
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.

Ans C
Manager
Joined: 24 Jan 2006
Posts: 239
Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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06 Apr 2006, 05:32
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
Senior Manager
Joined: 11 Nov 2005
Posts: 306
Location: London
Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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06 Apr 2006, 12:39
C.

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
Senior Manager
Status: Getting strong now, I'm so strong now!!!
Affiliations: National Institute of Technology, Durgapur
Joined: 04 Jun 2013
Posts: 432
Location: India
GPA: 3.32
WE: Information Technology (Computer Software)
Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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30 Dec 2014, 22:46
An official question. Please practice. Bumping it up
CEO
Joined: 11 Sep 2015
Posts: 3344
Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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20 Apr 2018, 13:56
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

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Re: A certain meter records voltage between 0 and 10 volts &nbs [#permalink] 20 Apr 2018, 13:56
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