LCM of Time Intervals for Beeping Devices

CMAT 2026 · Quantitative Techniques & Data Interpretation · Easy · Number System

Four different electronic devices make a beep after every 30 minutes, 1 hour, 1121\frac{1}{2} hour and 1 hour 45 minutes, respectively. All these devices beeped together at 12 noon. They will again beep together at

  1. A.

    12 midnight

  2. B.

    3 AM.

  3. C.

    6 AM.

  4. D.

    9 AM.

Answer

D

Explanation

Intervals in minutes: 30, 60, 90, 105. LCM(30, 60, 90, 105) = 1260 minutes = 21 hours. 12 noon + 21 hours = 9 AM next day.

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