A survey is taken of 100 boys in a village it is found that 35 boys use motor cycles 45 boys use cycles and 10 boys use both of them find how many boys
and have none of them

A family has two children. What is the probability that both the children are boys given that at least one of them is a boy ?

Today 10 of us have come to park to play. If the ratio of number of girls and boys is 2 : 3 in our group, how many girls and boys have come to play.

In a school there are 100 students 60 of them don't like chocolate ad 50 don't like Biscuit and 10 of them like none then how many of them like both ?

Using a Venn diagram or otherwise, solve the following problem: In a class of 70 students, each student has taken either English or Hindi or both. 45 students have taken English and 30 students have taken Hindi. How many students have taken both English and Hindi?

From 10 boys and 6 girls , how many different selections can be made so as to include at least one boy and one girl ?

In a class, 5% of the boys and 10% of the girls have an IQ more than 150. In the class 60% of the students are boys and rest girls. If a student is selected at random and found to have an IQ of more than 150, find the probability that the student is a boy.

In a class, 5% of the boys and 10% of the girls have an IQ more than 150. In the class 60% of the students are boys and rest girls. If a student is selected at random and found to have an IQ of more that 150, find the probability that the student is a boy.

In how many ways can 10 boys and 5 girls be seated in a round table so that two girls never be seated together ?

In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the students can get any number of prizes?

Represent the following situations with suitable mathematical equations. Sridhar and Rajendar together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles now they have is 124. We would like to find out how many marbles each of them had previously.