Question

# Today, the cricket team, the soccer team and the basketball team, all had games. The cricket team plays every 2nd day, the soccer team plays every 3rd day and the basketball team plays every 5th day. On which of the following day from today, will all the teams have games on the same day again?

A
18th
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
10th
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
30th
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
15th
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is C 30thTo find when all teams have games on the same day again, we need to find the the common multiples of the days after which team has a game. Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32 Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 Multiples of 5: 5, 10, 15, 20, 25, 30, 35 We can see that, 30 is a common multiple of 2, 3 and 5. Hence, 30th day from today, all the teams will have games on the same day again.

Suggest Corrections
1
Join BYJU'S Learning Program
Related Videos
LCM of 3 numbers
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program