A certain meter records voltage between 0 and 10, inclusive

Question

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

BrentGMATPrepNow · Accepted Answer

Sum of values = (# of values)(mean) 
So,  sum of the 3 reading s = (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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BG · Answer

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

ywilfred · Answer

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

gmatacer · Answer

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

SunShine · Answer

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

GyanOne · Answer

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)

sashiim20 · Answer

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)... _________________ Please Press "+1 Kudos" to appreciate.

Bismarck · Answer

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

ScottTargetTestPrep · Answer

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

Jitesh8 · Answer

Super easy

2*10 will give 20 and average is 8 so total will be 24
24-20=4

Opt C

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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

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