CMAT 2018 - Slot 2 Quantitative Aptitude Question 4
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Quantitative Aptitude
First wheel makes 60 revolution in 1 minute
=> It makes 60 revolutions in 60 seconds
=> It makes 1 revolution 1 second.
This implies, after every 1 second the certain point at which the wheel started its revolution reaches its initial position.
Similarly, Second wheel and Third wheel makes 36 and 24 revolution in 1 minute respectively.
=> Second and Third wheel makes 1 revolution in 5/3 and 5/2 seconds respectively.
So for all the multiples of 5/3 and 5/2 seconds the certain point of second wheel and third reaches its initial position respectivley.
After LCM {1, 5/3, 5/2} seconds all the three wheels will come together in the same position
LCM of fractions = LCM of numerators/HCF of denominators
=> LCM {1, 5/3, 5/2} = LCM {1, 5, 5} ÷1 = 5
Hence, after 5 seconds all the wheels will come again together in the same position.