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 ?
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 6 of 7.
Sams said:
7 years ago
Can you kindly explain in details because I don't understand? Please help me to get it.
Viswa said:
7 years ago
Thank you all for explaining the answer.
Shubham said:
7 years ago
Thanks for all the given explanation.
Nagul said:
7 years ago
@All.
Simple solution:
The L C M of given number = 2772
=> 2772 ÷ 60 we get 46 as quotient and 12 as a reminder.
Simple solution:
The L C M of given number = 2772
=> 2772 ÷ 60 we get 46 as quotient and 12 as a reminder.
Zikpe said:
6 years ago
Just take LCM of 252, 308 & 198.
LCM = 2772 seconds or 46 minutes 12 seconds.
LCM = 2772 seconds or 46 minutes 12 seconds.
Anitha said:
6 years ago
LCM is 2772.
So, 2772/60 = 46min 12sec.
So, 2772/60 = 46min 12sec.
Anyone said:
6 years ago
I have not understand what you said please show me the LCM how you have done.
(2)
Virat said:
5 years ago
Just deduce it like this---->>
252 ---2*126 = 2^2*63 = 2^2*3*21 = 2^2*3^2*7.
308 ---2*154 =2^2*77 = 2^2*11*7.
198 ---2*99 = 2*3*11.
Now just take the prime factors with the highest power out.
So LCM = 2^2*3^2*7*11= 2772.
252 ---2*126 = 2^2*63 = 2^2*3*21 = 2^2*3^2*7.
308 ---2*154 =2^2*77 = 2^2*11*7.
198 ---2*99 = 2*3*11.
Now just take the prime factors with the highest power out.
So LCM = 2^2*3^2*7*11= 2772.
(4)
Isha said:
5 years ago
Thanks all for explaining the answer.
(1)
Ramin said:
4 years ago
Simply divide 2772 by 60.
You will get 46.
And remainder 12.
The remainder is seconds.
You will get 46.
And remainder 12.
The remainder is seconds.
(3)
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers