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Manager  Joined: 08 Aug 2005
Posts: 249
A certain meter records voltage between 0 and 10 volts  [#permalink]

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Difficulty:   15% (low)

Question Stats: 75% (00:56) correct 25% (01:24) wrong based on 193 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.
Director  Joined: 13 Nov 2003
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Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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1
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
CEO  Joined: 07 Jul 2004
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Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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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: 200
Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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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
Manager  Joined: 11 Nov 2005
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Location: London
Re: A certain meter records voltage between 0 and 10 volts  [#permalink]

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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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GMAT 1: 780 Q51 V48 GRE 1: Q800 V740 Re: GMATprep question  [#permalink]

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1
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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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 $$= 24 -20 = 4$$

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

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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, inclusive  [#permalink]

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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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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

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

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_________________ Re: A certain meter records voltage between 0 and 10, inclusive,   [#permalink] 14 Oct 2019, 05:35
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