Question : Ram, Shyam, Rohan, Reeta, and Mukesh are five members of a family who are weighed consecutively and their average weight is calculated after each member is weighed. If the average weight increases by 2 kg each time, how much heavier is Mukesh than Ram?
Option 1: 14 kg
Option 2: 18 kg
Option 3: 16 kg
Option 4: 12 kg
Correct Answer: 16 kg
Solution :
Let the weight of Ram be
Average weight
According to the question,
After adding Shyam, the average weight
Weight of Shyam
After adding Rohan, the average weight
Weight of Rohan
After adding Reeta, the average weight
Weight of Reeta
After adding Mukesh, the average weight =
Weight of Mukesh
Now, Mukesh is heavier than Ram by
Hence, the correct answer is 16 kg.
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