SSAT Math Question 146: Answer and Explanation
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Question: 146
8. Event A occurs every 4 minutes, event B every 6 minutes, and event C every 15 minutes. If they occur simultaneously at noon, when is the next time all three events will occur together again?
- A. 1 p.m.
- B. 1:30 p.m.
- C. 3 p.m.
- D. 6 p.m.
Correct Answer: A
Explanation:
The correct answer is (A). To find the number of minutes that must pass before the events next occur simultaneously, calculate the least common multiple of 4, 6, and 15. The LCM is 60 minutes. If the events last occurred together at noon, the next occurrence will thus be 60 minutes later, or at 1 p.m.