Let  be defined as  is

Let  defined by  , then  is

Q function  from the set of natural numbers to integers defined by  is

Let  be the set of all real numbers Then, the relation  on S is

The relation  defined on the set of natural numbers as {(a,b) a differs from b by 3} is given by

Let {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set   The relation is

Let  be a relation on the set  The relation R is

In this question, we have to find the which type of relation it is. Try to prove the all type of relation and find the which one is satisfies it.

Five coins whose faces are marked 3,4 are thrown. The chance of obtaining a total of 18 is

Out of 20 consecutive natural numbers two are chosen at random. The probability that their sum is odd is

An investigator interviewed 100 students to determine the performance of three drinks milk, coffee and tea. The investigator reported that 10 students take all three drinks milk, coffee and tea; 20 students take milk and coffee, 30 students take coffee and tea, 25 students take mile and tea, 12 students take milk only, 5 students take coffee only and 8 students take tea only. Then, the number of students who did not take any of the three drinks, is

Universal set,  and  Then,  is equal to

In a certain town 25% families own a cell phone, 15% families own a scooter and 65% families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a scooter, then the total number of families in the town is

If sets A and B are defined as  , then

If  . Then,  is

Let  and  denotes null set. If  denotes cartesian product of the sets A and B ; then  is