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 4 of 17.

Dive_nithi said:   6 years ago
Thank you for your excellent explanations @Sravanreddy.

Riya said:   6 years ago
Thanks @Sravanreddy.

GSS said:   6 years ago
Thnaks @Sravanreddy.

Sagar said:   7 years ago
As it is clear from the question and the answer provided that the bells Are going to toll together after every 2 min.

So, in the given interval of 30 min.

They will be going to toll 30/2 that is 15 times and early in the question they have mentioned that the bells are already toll together at once.

So, the answer is 30/2 + 1= 16 times.
(2)

Shivam Tiwari said:   7 years ago
Why +1 is done in this can anyone say?

Orbis Roy said:   7 years ago
How to got 120 LCM? please explain me.

Ashif said:   7 years ago
Excellent explanation. Thank you so much. @Sravan.

Saanvi said:   7 years ago
Well said, Thanks @Sravanreddy.

Praful said:   7 years ago
15 should be the correct answer.

because
if, it is asked that how many times clock hands have coincided then the answer is 22 not 23.

Imran said:   7 years ago
Nice explanation @Saravan.


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