Five bells beginning together toll at interval of 4,5,7,8and 10 s respectively. After what interval of time will they toll again together?
1. 4 min 35 s
2. 4 min 40 s
3. 4 min 45 s
4. 4 min 51 s
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Answer:
The interval at which they will toll again
= L.C.M of 4,5,7,8,10
4 = 2×2
5 = 5
7 = 7
8 = 2×2×2
10 = 2×5
L.C.M
= 2×2×2×5×7
= 280
-----------------------------
Hence after 280 sec = 4 min 40 sec ,the bells will toll again.
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