The average weight of a body, as calculated by the average of seven different experiments is 53.735 gms, while the average of first three is 54.005 gms, the fourth was greater than the fifth by 0.004 gms, while the average of sixth and seventh was 0.01 gms less than the average of the first three. Find weight of the body as obtained by the fourth experiment.
The average weight of a body, as calculated by the average of seven different experiments is 53.735 gms, while the average of first three is 54.005 gms, the fourth was greater than the fifth by 0.004 gms, while the average of sixth and seventh was 0.01 gms less than the average of the first three. Find weight of the body as obtained by the fourth experiment.
Option 1 -
52.02
Option 2 -
53.072
Option 3 -
55.11
Option 4 -
58.70
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1 Answer
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Correct Option - 2
Detailed Solution:Let weight of body by fourth experiment = x
Net total of seven experiments = 53.735 * 7
= 376.145 gms.
Net total of first three = 3 * 54.005 = 162.015 gms.
Net total of 6th & 7th = 2 * 53.991 = 107.982 gms.
W5 + W4 = (x + 0.004) + x = 2x + 0.004
162.015 + 2x + 0.004 + 107.982 = 376.145
x = 53.072 gms
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