Question

The soccer team plays every 6${}^{\text{th}}$ day. The basketball team plays every 9${}^{\text{th}}$ day. The day will fall common for both the teams.

• A. 18${}^{\text{th}}$
• B. 16${}^{\text{th}}$
• C. 21${}^{\text{th}}$
• D. 30${}^{\text{th}}$

Answer 1

The correct option is A 18${}^{\text{th}}$

The soccer team plays on
every $6^{\text{th}}$ day.
The basketball team plays on
every $9^{\text{th}}$ day.

To find when both teams have their games on the same day, we have to find the least common multiple of 6 and 9.

Multiples of 6 are:


Multiples of 9 are:


Now, we check the common multiples of both the numbers.


Common multiples are 18 and 36.

Out of these, the least common multiple of 6 and 9 is 18.

Hence, both the teams will have their games on the 18${}^{\text{th}}$ day.