In a group of 200 people, 90 like tennis, while 108 like cricket and 46 people like both tennis and cricket. How many people like neither tennis nor cricket?

Answer: 48

Let's break down the given information:

To find the people who like neither, we can use the following formula:

Total people = People who like tennis only + People who like cricket only + People who like both + People who like neither

Let's find the people who like only tennis and only cricket:

People who like only tennis = Total tennis players - People who like both = 90 - 46 = 44
People who like only cricket = Total cricket players - People who like both = 108 - 46 = 62

Now, we can plug these values into the formula: 200 = 44 + 62 + 46 + People who like neither

People who like neither = 200 - 44 - 62 - 46 = 48

Therefore, 48 people like neither tennis nor cricket.

So, the answer is 48.

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