Which of the following relations are functions ?
a is the capital of b where `binB` and B is the set of all countries, `ainA` and A is the set of capital cities of countries.

Which of the following is not an equialence relation on I (set of all integers) ?

State for each of the following relations whether it is function or not. (Write Yes or No) {(x,y):x inA,yinB,y" is sewn onto y"} , where A is the set of buttons and B is the set of shirts.

State for each of the following relations whether it is function or not. (Write Yes or No) {(x,y):x inA,yinB" is surname of x"} where A is the set of people in India and B is the set of surnames.

Write each of the following sets in Roster form: B = set of all whole number less than 8.

Which of the following are examples of empty set? Set of all even prime numbers.

Which of the folowing statements are true ? (i) The set of all rectangles is contained in the set of all squares. (ii) The sets A={ x:x is a letter of the word . 'LITTLE', B={x:x is a letter of the word 'TITLE',} are equal (iii) The set of all cats is contained in the set of all animals.

State for each of the following relations whether it is function or not. (Write Yes or No) {(x,y):x inB,yinP,y" is a passenger on x"} where B is the set of buses of a school and P is set of pupils of some schools.

Write the following sets in set builder form : B = {all months of a year}

If the set A contains 5 elements and the set B also contains 5 elements, then find the number of bijective functions from A to B.

Which of the following sets in an finite/infinite set ? (i) Set of divisors of 24 (ii) Set of all real number which lie between 1 and 2 (iii) Set of all three digit natural numbers