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3 bells ring at the time interval of 35, 45 and 105 seconds. If they rang together at 6:20:15 A.M, then find out the time when they together ring again? 
1. 6:21:30 A.M
2. 6:22:15 A.M
3. 6:25:30 A.M
4. 6:25:15 A.M

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Correct Answer - Option 3 : 6:25:30 A.M

Given:

3 bells ring at the time interval of 35, 45 and 105 seconds

Calculation:

Find LCM of 3 bells

⇒ 35 = 5 × 7

⇒ 45 =  32 × 5

⇒ 105 = 3 × 5 × 7

LCM of 3 bells is

⇒ 32 × 5 × 7 = 315 seconds

After converting into minutes we get 5 minutes 15 seconds

So, next time they ring together at 6:25:30 A.M

∴ 3 bells will ring together at 6:25:30 A.M.

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