Question
8 workers working for 8 days make 8 motor cycles. Then
how many motor cycles would be made by 4 workers if they work for 4 days? Assume equal efficiency of each worker.Solution
ATQ, If 8 workers make 8 motorcycles in 8 days, each worker makes 1 motorcycle in 8 days. Now, let’s see how many motorcycles 4 workers can make in 4 days: 1 worker makes 1/8 of a motorcycle in 1 day. So, 1 worker makes 4/8 (which is 1/2) of a motorcycle in 4 days. If 1 worker makes 1/2 a motorcycle in 4 days, 4 workers will make 4 times as much in 4 days, because there are 4 of them: 4 workers make 4 x (1/2) = 2 motorcycles in 4 days.
The sum of three consecutive odd natural numbers each divisible by 3 is 81. Which number is the largest number among the three numbers?
What is the ratio of the sum of the squares of the first 8 natural numbers to the sum of the first 12 odd natural numbers?
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