Question

In a board game, Alex wins 5 tickets from every game, and Shalini wins 6 tickets. When they stopped playing, Alex and Shalini had won the same number of tickets in total. What is the minimum number of games that were played in total?​

• A. 6
• B. 5
• C. 3
• D. 11

Answer 1

The correct option is D 11

Alex wins 5 tickets, and Shalini wins 6 tickets.
As they win the same number of tickets, we need to find the common multiples.
Let’s find the common number of tickets which the two can win using the concept of common multiples of 6 and 5.
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Alex and Shalini can possibly win 30, 60, and so on, the number of tickets.
To find the minimum number of games played by Alex, we need to find the minimum possible number of common tickets.
So, the minimum possible number of tickets such that they win the same number of tickets will be 30.
To win 30 tickets, Alex will have to play 6 games, and Shalini will have to play 5 games.


So, in total, they will have to play a minimum of 11 games to win the same number of tickets.