Sudhir goes to the market once every 64 days and Sushil goes to the same…
2024
Sudhir goes to the market once every 64 days and Sushil goes to the same market once every 72 days . They meet each other one day . How many days later will they meet each other again ?
- A.
216
- B.
432
- C.
576
- D.
448
Attempted by 80 students.
Show answer & explanation
Correct answer: C
Answer: 576
They will meet again after a number of days equal to the least common multiple (LCM) of 64 and 72.
Prime factorize each number: 64 = 2^6; 72 = 2^3 × 3^2.
Take the highest power of each prime appearing: 2^6 and 3^2.
Compute the LCM: 2^6 × 3^2 = 64 × 9 = 576.
Therefore, they will meet again after 576 days.