Aaron, Ben, and Cliff all make resolutions to exercise more in the new year. Aaron resolves to exercise on every fourth day, Ben resolves to exercise on every seventh day, and Cliff resolves to exercise on every tenth day. If they follow their resolutions exactly, what is the probability that they all exercised on a randomly selected day, assuming this is not a leap year?


A. \(\frac{2}{365}\)

B. \(\frac{1}{280}\)

C. \(\frac{1}{73}\)

D. \(\frac{13}{65}\)

E. \(\frac{28}{73}\)


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Explanation:

Only 2 Days are there on which all 3 will exercise.
i.e. 140 th & 280th Day.
Probability : Favourable outcome/ total no. of outcomes
= 2/365
IMO-A

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