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UPSC Prelims 2024CSATQuantitative AptitudeAverages and Ratios

Q36. 36. Consider the following : Weight of 6 boys = Weight of 7 girls = Weight of 3 men = Weight of 4 women If the average weight of the women is 63 kg, then what is the average weight of the boys?

A. 40 kg
B. 42 kg✓ Correct
C. 45 kg
D. 63 kg

Detailed Solution

✓ Correct Answer: Option B

Given that the average weight of the women is 63 kg. Since there are 4 women, their total weight = 4 × 63 kg = 252 kg. The problem states that 'Weight of 6 boys = Weight of 4 women'.

Therefore, the total weight of 6 boys is also 252 kg. To find the average weight of the boys, we divide their total weight by the number of boys: Average weight of boys = 252 kg / 6 = 42 kg.

The information about the weights of girls and men is extraneous for solving this specific part of the problem. This question tests basic understanding of averages and direct proportionality.

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