Q. The average weight of A, B, C is 40 kg, the average weight of B, D, E is 42 kg and the weight of F is equal to that of B. What is the average weight of A, B, C, D, E and F?
a. 40.5 kg
b. 40.8 kg
c. 41 kg
d. Cannot be determined as data is Inadequate
Correct Answer: c. 41 kg
Question from UPSC Prelims 2022 CSAT Paper
Explanation :
(A + B + C)/3 = 40
A + B + C = 120 ——-(1.)
(B + D + E)/3 = 42
B + D + E = 126 ——–(2.)
As B = F, so we can write F in place of B in equation (2.)
We get, F + D + E = 126 ——-(3.)
Adding equation (1.) and (3.), we get
A + B + C + D + E + F = 120 + 126
A + B + C + D + E + F = 246
Avereage weight of A, B, C, D, E and F = 246 / 6 = 41
Hence, option 3 is correct.
