S.N. Chhibber Solutions for Chapter: Operations on Sets, Exercise 8: Revision Time

In James' apartment block there are $27$ apartments with a dog, $23$ with a cat and $17$ with a dog and a cat. $35$ apartments have neither a cat nor a dog. How many apartments contain no dog?

In James' apartment block there are $27$ apartments with a dog, $23$ with a cat and $17$ with a dog and a cat. $35$ apartments have neither a cat nor a dog. How many apartments contain no cats?

$46\%$ of the people in a town, ride a bicycle and $45\%$ ride a scooter and $16\%$ ride neither a bicycle nor a scooter. Illustrate this information on a Venn diagram.

$46\%$ of the people in a town, ride a bicycle and $45\%$ ride a scooter and $16\%$ ride neither a bicycle nor a scooter. What percentage of people ride both a bicycle and a scooter?

$46\%$ of the people in a town, ride a bicycle and $45\%$ ride a scooter and $16\%$ ride neither a bicycle nor a scooter. What percentage of people ride at least one of two: a bicycle or a scooter?

$46\%$ of the people in a town, ride a bicycle and $45\%$ ride a scooter and $16\%$ ride neither a bicycle nor a scooter. What percentage of people ride a bicycle only?

$46\%$ of the people in a town, ride a bicycle and $45\%$ ride a scooter and $16\%$ ride neither a bicycle nor a scooter. If the percentage of people ride exactly one of two: a bicycle or a scooter is $k\%$, then find the value of $k$.

In a teen-group survey, it was revealed that $25\%$ of the total students read fiction; $8\%$ read non-fiction; $15\%$ read only text books; $2\%$ read all three; $3\%$ read fiction and non-fiction; $2\%$ read only text books and fiction; $5\%$ read text books and non-fiction; and the rest do not read at all. Draw a Venn diagram depicting this information.