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:
172 comments Page 6 of 18.

Sangeeta said:   1 decade ago
I didn't understand why did we add 1?

Please explain.

Malatha said:   1 decade ago
I also didn't understand why did we add '1'? please tell me.

Aashish said:   1 decade ago
Thanks sundar. Amazing explanation!

Vasu said:   1 decade ago
Thanks to both Sravan and Sundar for your explanation.

Fozia sheikh said:   1 decade ago
Four bells toll after intervals of 8, 9, 12and 15minutes, respectively. If they toll together at 3pm. When will they toll together next?

Ramesh said:   1 decade ago
Awesome sravan!!

Suparna said:   1 decade ago
Why 30 divided by 2 and 1 added?

Divya said:   1 decade ago
Please present answer to fozia sheihk.

Manasa said:   1 decade ago
120seconds is 2 min so divided by 2.

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.


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