Number Systems: How many teams are there?

Number System is easily the most important topic on the quant section of several aptitude exams. Not only is the topic vast, but it forms the basis for a lot of other topics and majority of questions in actual exam. 

This topic has a range of subtopics and the questions can vary from being very easy to tough in difficulty level. It is imperative that you solidify this topic from test prep point of you as it does have an impact in your preparation for other topics as well as the final result in a big way.

Solve the following question:

What else you can do inside qs leap ?

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In order to play a certain game, 24 players must be split into n teams, with each team having an equal number of players. If there are more than two teams, and if each team has more than two players, how many teams are there?
(1) If thirteen new players join the game, one must sit out so that the rest can be split up evenly among the teams.
(2) If seven new players join the game, one must sit out so that the rest can be split up evenly among the teams.

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