Four bells begin to toll together and toll respectively at intervals of 6, 7, 8 and 9 seconds. In 1.54 hours, how many times do they toll together and in what interval (seconds)?
A. 14, 504
B. 14, 480
C. 12, 504
D. 16, 580
Answer: Option C
Solution(By Examveda Team)
Interval after which the bells will toll together = (LCM of 6, 7, 8, 9) sec = 504 sec.In 1.54 hours, they will toll together
$$\eqalign{ & {\text{ = }}\left[ {\left( {\frac{{1.54 \times 60 \times 60}}{{504}}} \right) + 1} \right] \cr & {\text{ = 12 times}} \cr} $$
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Why we add to find out times do they toll together