Let U be universal set of all the students of Class XI of a coeducational school and A be the set of all girls in Class XI. Find A′.

Let X = {Ram, Geeta, Akbar} be the set of students of Class XI, who are in school hockey team. Let Y = {Geeta, David, Ashok} be the set of students from Class XI who are in the school football team. Find X ∪ Y and interpret the set.

Let A be the set of all 50 students of Class X in a school Let f: A to N be function defined by f(x) = roll number of the student x. Show that f in one-one but not onto.

The number of girl students in each class of a co-educational middle school is depicted by the pictograph: Observe this pictograph and answer the following questions : (b) Is the number of girls in class VI less than the number of girls in Class V?

The number of girl students in each class of a co-educational middle school is depicted by the pictograph: Observe this pictograph and answer the following questions : (a) Which class has the minimum number of girl students?

The number of girl students in each class of a co-educational middle school is depicted by the pictograph: Observe this pictograph and answer the following questions : ( c) How many girls are there in Class VII ?

List all the subsets of the set { –1, 0, 1 } .

The set of all integral multiples of 5 is a subgroup

Let A be the set of all students of a boys school. Show that the relation R in A given by R = {(a,b):a is sister of b} is the empty relation and R' ={(a,b): the difference between heights of a and b is less than 3 meters } is the universal relation.

The donations given to an orphanage home by the students of different classes of a secondary school are given below. Find the mean, median and mode of the data.

If P is the set of all parallelograms and T is the set of all trapeziums then P nn T is