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. 15)
15.
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?
26 minutes and 18 seconds
42 minutes and 36 seconds
45 minutes
46 minutes and 12 seconds
Answer: Option
Explanation:

L.C.M. of 252, 308 and 198 = 2772.

So, A, B and C will again meet at the starting point in 2772 sec. i.e., 46 min. 12 sec.

Discussion:
66 comments Page 4 of 7.

Srikanth said:   9 years ago
Thanks @Sundar.

Liana said:   9 years ago
Why is 12 seconds added?

Shweta said:   9 years ago
@Liana.

To convert into minute = 2772/60 = 46 min and remainder is 12.

That's why 46 min 12 sec.
(1)

Prathi said:   9 years ago
How to take LCM of these numbers?

Nagalakshmi said:   9 years ago
What will happen if we take HCF instead of LCM?

Gargi said:   9 years ago
If LCM is 2772 then why we are dividing 2760 by 40?
(1)

Prahlad said:   8 years ago
2772 /60 =924/20 = 46minutes 4 seconds.
But 2772 /60 = 46minutes 12 seconds.

Deepak said:   8 years ago
The Right answer is 46 minutes and 20 seconds, this is a correct solution which I am going to explain below:

Lcm of (252,308,198) is 2772 seconds.

Converting in minutes by dividing 60,
2772/60 = 46 minutes and 20 seconds.

Sandy said:   8 years ago
2400 sec= 40min and 360 sec = 6 min. Remaining 12 sec (2400+360+12).

Vijay said:   8 years ago
2772/60 = 46 min and remaining 12 sec.
or
2772/60=>693/15=>231/5 = 46 min 1/5.
1/5 =1 * 60/5 = 12 sec.
46 min 12 sec.


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