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1.
Let 
be a relation defined by
Then, 
is
be a relation defined by2.
On the set of human beings a relation 
is defined as follows:
is defined as follows:
"ab iff a and b have the same brother". Then is
3.
In a class of 35 students, 17 have taken Mathematics, 10 have taken Mathematics but not Economics. If each student has taken either Mathematics or Economics or both, then the number of students who have taken Economics but not Mathematics is
4.
5.
If 
, then 
is
, then is
6.
Let 
be the set of all students in a school. A relation is defined on as follows:
"aRb iff a and b have the same teacher”
be the set of all students in a school. A relation is defined on as follows:"aRb iff a and b have the same teacher”
7.
If 
is the set of all parallelograms, and 
is the set of all trapeziums, then 
is
is the set of all parallelograms, and is the set of all trapeziums, then is
8.
and 
are any two non-empty sets and is proper subset of 
If 
then find the minimum possible value of 
and are any two non-empty sets and is proper subset of If then find the minimum possible value of
9.
If 
, then 
is equal to
, then is equal to
10.
In a class, 70 students wrote two tests viz; test-I and test-II. 50% of the students failed in test-I and 40% of the students in test-II. How many students passed in both tests?