Question
CSATMediumPrelims 2022Maths

The average weight of A, B, C is 4040 kg, the average weight of B, D, E is 4242 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?

Explanation

The problem involves finding the average weight of six individuals: A, B, C, D, E, and F. We are provided with the following information:

  1. The average weight of A, B, and C is 40 kg: (A+B+C)3=40A+B+C=120\frac{(A+B+C)}{3} = 40 \Rightarrow A+B+C = 120 (Equation 1)

  2. The average weight of B, D, and E is 42 kg: (B+D+E)3=42B+D+E=126\frac{(B+D+E)}{3} = 42 \Rightarrow B+D+E = 126 (Equation 2)

  3. The weight of F is equal to that of B: F=BF = B (Equation 3)

Now, we need to find the average weight of A, B, C, D, E, and F.

By adding Equation 1 and Equation 2:

(A+B+C)+(B+D+E)=120+126(A+B+C) + (B+D+E) = 120+126 A+2B+C+D+E=246A+2B+C+D+E = 246

Since F = B, we replace B with F:

A+B+C+D+E+F=246A + B + C + D + E + F = 246

Now, the average weight of A, B, C, D, E, and F is:

(A+B+C+D+E+F)6=2466=41\frac{(A+B+C+D+E+F)}{6} = \frac{246}{6} = 41

Thus, the average weight is 41 kg.

Maths PYQs from 2022

Trusted by 2L aspirants

Practice UPSC Prelims PYQs Smarter

Practice Now
  • Track accuracy & weak areas
  • See past trends & repeated themes
Start Practicing Now

PYQs by Papers

Crack UPSC with your
Personal AI Mentor

An AI-powered ecosystem to learn, practice, and evaluate with discipline

SuperKalam
SuperKalam is your personal mentor for UPSC preparation, guiding you at every step of the exam journey.

Download the App

Get it on Google PlayDownload on the App Store
Follow us

ⓒ Snapstack Technologies Private Limited