# 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.