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 9 of 17.

Sam said:   10 years ago
12 = 2*2*3.

16 = 2*2*2*2.

20 = 2*2*5.

24 = 3*2*2*2.

L.C.M = 2*2*2*2*3*5 = 240 min.

= 240 min/60 min = 4 hr.

So at 1 pm it will ring again (9+4).

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.

Awanish said:   10 years ago
I am not agree with this explanation 1st beep at 0 sec so time start after 0 so within 30 min it beeps 15 times.

For 16 beep it takes 30 min 1 sec.

Renuka said:   10 years ago
Really it is a good explanation. Thanks.

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.

Muneesh said:   10 years ago
Formula: (n/2+1) from n--30.

= 30/2+1 = 16 answer.

Dhivakar said:   9 years ago
If all the bells starts to toll, it will get the toll together only at the 120th second. If a bell starts to tell, will it start from zero or directly from 120?

Simi said:   9 years ago
Answer for Fozia Sheikh 21:01 P.M.

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.


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