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NTPC Graduate Tier 1 2025 Shift-3 📅 05 Jun, 2025

A group of people consists of men, women and children. Among them, 20% are men, 50% are women and the rest are children, and their average weights are 45 kg, 50 kg and 50 kg, respectively. The average weight (in kg) of the group is:

A
51
B
50
C
48
D
49
Result Summary
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APEDIA

NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-3
A group of people consists of men, women and children. Among them, 20% are men, 50% are women and the rest are children, and their average weights are 45 kg, 50 kg and 50 kg, respectively. The average weight (in kg) of the group is:
Correct Answer
49
[Population Distribution Modeling]: To prevent messy fractional calculations, we can confidently assume the entire group constitutes exactly 100 individuals. Co......
💡 Analysis & Explanation
[Population Distribution Modeling]
To prevent messy fractional calculations, we can confidently assume the entire group constitutes exactly 100 individuals. Consequently, there are 20 men, 50 women, and naturally, 30 children (since 100 - 20 - 50 = 30).
[Total Mass Aggregation]
Compute the collective weight for each distinct demographic segment using the provided averages. Men: 20 × 45 kg = 900 kg. Women: 50 × 50 kg = 2500 kg. Children: 30 × 50 kg = 1500 kg.
[Comprehensive Averaging]
The total accumulated weight of the entire population is 900 + 2500 + 1500 = 4900 kg.
[Final Quotient]
Divide the absolute total weight by the total number of individuals: 4900 kg / 100 people.
Conclusion
The balanced overall average weight is firmly 49 kg.