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.
The sum of two numbers is 1215 and their HCF is 81. How many such pairs of numbers can be formed?
The LCM of two numbers in 48. Their ratio is 2:3 What is the sum of the numbers?
What is the least number which when divided by 12,20 and 24 leaves in each case a remainder of 8?
