Joseph visits the club on every 5 th day, Harsh visits on every 24 th day, while Sumit visits on every 9 th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?
Wednesday
Given:
Joseph visits the club on every 5th day ,
Harsh visits the club on every 24 th day and
Sumit visits the club on every 9th day .
All three of them met at the club on a Sunday.
Calculation:
Taking LCM of their visiting intervals
3 | 5, 24, 9
5, 8, 3
⇒ LCM = 3 × 5 × 8 × 3 = 360
⇒ All three will meet 360 th day.
Now as 1 st time they meet is on Sunday which occurs after every 7 days.
⇒ 360 = 51 × 7 + 3
⇒ 357 th day will be Sunday and hence, 360 th day will be on Wednesday.
So, option 2 is correct.
Important Questions from LCM and HCF
The HCF and LCM of two numbers are 12 and 72, respectively. If the ratio of the two numbers is 2 ∶ 3, then the larger of the two numbers is:
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
What is the least number which when divided by 12,20 and 24 leaves in each case a remainder of 8?
Which of the following is a pair of co-primes?
Five persons fire bullets at a target at an interval of 6, 7, 8, 9 and 12 seconds respectively. The number of times they would fire the bullets together at the target in an hour is
