Subsets

IMPORTANT

Subsets: Overview

This Topic covers sub-topics such as Universal Set, Open and Close Intervals, Subset of a Set, Number of Subsets of a Set, Proper Subsets of a Set, Superset of a Set, Intervals as Subsets of R, Semi-Open Interval and, Length of an Interval

Important Questions on Subsets

EASY
IMPORTANT

If A=1,2,3, then how many elements are there in the power set of A ?

MEDIUM
IMPORTANT

Let A=x:x9,xN. Let B=a,b,c be the subset of A where a+b+c is a multiple of 3. What is the largest possible number of subsets like B?

EASY
IMPORTANT

How can we find the number of subsets?

EASY
IMPORTANT

If A={1, 2, 3, 4, 5, 6, 7}, then the number of proper subsets of A is

EASY
IMPORTANT

Which of the following could be a super set of the set X=x:x is an equilateral triangle?

MEDIUM
IMPORTANT

If the number of elements in the power set of set A is 128, then find the number of elements in the set A.

EASY
IMPORTANT

For sets A and B, which is false?

EASY
IMPORTANT

The number of proper subsets of a set having n+1 elements is?

EASY
IMPORTANT

Let A,B and C be three sets. If AB and BC, is it true that AC?. If not, give an example.

EASY
IMPORTANT

The number of subsets of the power set of set A=7,10,11 is

EASY
IMPORTANT

Let A=a,b, B=a,b,c. Is AB? What is AB?

EASY
IMPORTANT

What is meant by subset?

EASY
IMPORTANT

If φ is a subset of both A & B then can we say that A & B are also subset of each other?

HARD
IMPORTANT

List all the subsets of the set -1, 0, 1.

HARD
IMPORTANT

Let A, B and C be three sets. If AB and BC, is it true that AC? If not, give an example.

HARD
IMPORTANT

Let A=a, e, i, o, u and B=a, b, c, d. Is A a subset of B ? Is B a subset of A

EASY
IMPORTANT

If A={1,3,5} how many elements has P(A)?

HARD
IMPORTANT

If X=8n-7n-1:nN  and Y=49n-1:nN, then 

HARD
IMPORTANT

Let Z be the set of integers. If A=xZ:2(x+2)x2-5x+6=1 and B={xZ:-3<2x-1<9}, then find the number of subsets of the set A×B.

EASY
IMPORTANT

Find the length of interval 8,32.