Aptitude - Problems on H.C.F and L.C.M - Discussion

Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 3)
3.
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
4
10
15
16
Answer: Option
Explanation:

L.C.M. of 2, 4, 6, 8, 10, 12 is 120.

So, the bells will toll together after every 120 seconds(2 minutes).

In 30 minutes, they will toll together 30 + 1 = 16 times.
2

Discussion:
170 comments Page 6 of 17.

Rohit said:   4 years ago
At first min all bell will till together then 3 because of 129-sec diff than 5, 6, 7, 9, 11, . 29 so.

Total is 15, not 16.
(3)

Akhil said:   10 years ago
4 bells ring at an interval of 12, 16, 20, 24 min if they start together at 9 am after how long will they ring together.

Secotad said:   10 years ago
The bells toll at Intervals of 10mins, 15mins, 20mins. If they toll together at 11:00am, when next do they toll again.

Secotad said:   10 years ago
The bells toll at Intervals of 10mins, 15mins, 20mins. If they toll together at 11:00am, when next do they toll again.

Saj said:   1 decade ago
@Fozia.

I guess the answer should be 9pm, since the LCM of 8, 9, 12, 15 is 360. i.e 360 minutes i.e. after 6 hours.

Anand jannu said:   10 years ago
@Saravan explained excellent. But that concept 30/2+1 I didn't understand. But I follow concept said by @Saravan.

Mr Perfect said:   1 decade ago
Since the bells start tolling together, the first toll also needs to be counted. Therefore we need to add 1.

Lalit Salaria said:   9 years ago
LCM of 10, 15, 20 = 60 minutes = 1 hour.
Thus, bells will toll after 1 hour.

Thus 1:00 pm is the answer.

Niharika said:   1 decade ago
30/2 in order to calculate time for in fractions to each minute, as the LCM gave 2 minutes as the time.

NIDISH said:   8 years ago
If 6 bells takes 6 seconds then how much seconds does the 10 bells take? can anyone solve this?


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