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Three bells ring at intervals of (18), (24), and (30) minutes. If they start ringing together, after how many minutes will they ring together again?
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Answer and explanation
Correct answer: (360)
Step 1: The time when they ring together again is the LCM of (18), (24), and (30). Step 2: (18=2\times 3^2), (24=2^3\times 3), (30=2\times 3\times 5). The LCM is (2^3\times 3^2\times 5=360). Step 3: Use LCM for repeated-time meeting problems.
Frequently asked questions
What is the correct answer to this question?
(360)
Why is this the correct answer?
Step 1: The time when they ring together again is the LCM of (18), (24), and (30). Step 2: (18=2\times 3^2), (24=2^3\times 3), (30=2\times 3\times 5). The LCM is (2^3\times 3^2\times 5=360). Step 3: Use LCM for repeated-time meeting problems.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.
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