List of top Quantitative Aptitude Questions on Set Theory

The total number of subset of a finite set A has 56 more elements then the total number of subset of another finite set B. What is the number of elements in set A

If the cardinality of a set A is 4 and that of a set B is 3, then what is the cardinality of the set AAB? where A is difference.

Which of the following set(s) is/are convex set(s)?
A. {(x, y): xy ≤ 1, x ≥ 0, y ≥0}
B. {(x, y): x²-3>-y², x, y ≥ 0}
C. {(x, y): y² ≤ 4x, x ≥ 0, y ≥ 0}
D. {(x, y): x² + y² ≤ 4}
Choose the most appropriate answer from the options given below:

Read the statements about set and their properties.
A. S = {1, 2, 3, 4, 5} is a set of order 5.
B. S = {0} is a set of order zero.
C. If a~b and b~c; then a~c It is a transitive property.
D. If a~b, and b~a It is a symmetric property.
E. For all a, a~b It is a reflexive property.
Choose the correct answer from the options given below :

Match List-I and List-II

LIST I (Operation of union)		LIST II (Law)
A.	A∪B=B∪A	I.	Associative Law
B.	(A∪B)∪C=A∪(B∪C)	II.	Commutative Law
C.	A∪A=A	III.	Law of Idempotent
D.	A∪Φ=A	IV.	Law of Identity

Choose the correct answer from the options given below:

Let a,b,c be non-zero real numbers such that \(b^2<4ac\), and \(f(x)=ax^2+bx+c\). If the set S consists of all integers m such that \(f(m)<0\), then the set S must necessarily be

A club has 256 members of whom 144 can play football, 123 can play tennis, and 132 can play cricket. Moreover, 58 members can play both football and tennis, 25 can play both cricket and tennis, while 63 can play both football and cricket. If every member can play at least one game, then the number of members who can play only tennis is

An electronic company conducts a survey of 1500 houses for their products. The survey suggested that 862 houses own TV, 783 houses has AC and 736 houses has washing machine. There were 95 houses having only TV, 136 houses having only AC and 88 houses having only washing machine. There were 398 houses having all the three equipments. How many houses have only TV and washing machine but not AC?

Let a,b,c be non-zero real numbers such that b2<4ac, and f(x)=ax2+bx+c. If the set S consists of all integers m such that f(m)<0, then the set S must necessarily be

Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side 2 cm. What is the area of the portion that is common to both the circles?