a certain meter records voltage between 0 and 10 volts, inclusive. if the average value of 3 recordings from the meter was 8 volts, what was the smallest possible recording in volts?
A) 2
B) 3
C) 4
D) 5
E) 6
A) 2
B) 3
C) 4
D) 5
E) 6
(v1+v2+v3)/3=8
v1+v2+v3=24
For any one to be min, the other two must be max. ****
max for v =10, If v1 is min and v2,v3 are max
v1= 24-20=4
v1+v2+v3=24
For any one to be min, the other two must be max. ****
max for v =10, If v1 is min and v2,v3 are max
v1= 24-20=4
Ans : C
****TAKEAWAY:
when you have numbers with a fixed sum or product:
if you want to MINIMIZE A QUANTITY, then you must MAXIMIZE ALL OTHER QUANTITIES in the sum or product.
if you want to MAXIMIZE A QUANTITY, then you must MINIMIZE ALL OTHER QUANTITIES in the sum or product.
when you have numbers with a fixed sum or product:
if you want to MINIMIZE A QUANTITY, then you must MAXIMIZE ALL OTHER QUANTITIES in the sum or product.
if you want to MAXIMIZE A QUANTITY, then you must MINIMIZE ALL OTHER QUANTITIES in the sum or product.
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