Question : The average weight of 100 students is 34 kg. The average weight of the first 49 students is 34 kg and of the last 50 students is 32 kg. What is the weight of the 50th student?
Option 1: 138 kg
Option 2: 134 kg
Option 3: 130 kg
Option 4: 136 kg
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Correct Answer: 134 kg
Solution :
The average weight of 100 students = 34 kg
$\therefore$ Total weight of 100 students = 100 × 34 = 3400 kg
The average weight of first 49 students = 34 kg
$\therefore$ Total weight of first 49 students = 34 × 49 = 1666 kg
The average weight of last 50 students = 32 kg
$\therefore$ Total weight of last 50 students = 50 × 32 = 1600 kg
So, the weight of the 50
th
student = 3400 - 1666 - 1600 = 134 kg
Hence, the correct answer is 134.
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