Science (English Medium) Class 11 - CBSE Question Bank Solutions

Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

Φ ∈ A

Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

Φ ⊂ A

Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{Φ} ⊂ A

Write down all the subsets of the following set:

{a, b}

Write down all the subsets of the following set:

{1, 2, 3}

Write down all the subsets of the following set:

Φ

Write the following interval in Set-Builder form:

(– 3, 0)

Given that N = {1, 2, 3, ..., 100}, then write the subset A of N, whose element are odd numbers.

Given that N = {1, 2, 3, ..., 100}, then write the subset B of N, whose element are represented by x + 2, where x ∈ N.

State true or false for the following statement given below:

Let R and S be the sets defined as follows:
R = {x ∈ Z | x is divisible by 2}
S = {y ∈ Z | y is divisible by 3}
then R ∩ S = φ

State true or false for the following statement given below:

Q ∩ R = Q, where Q is the set of rational numbers and R is the set of real numbers.

Given that N = {1, 2, 3, ... , 100}. Then write the subset of N whose elements are even numbers.

Given that N = {1, 2, 3, ... , 100}. Then write the subset of N whose element are perfect square numbers.

If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by 4n

If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n + 6

If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by `n/2`

If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n – 1

If Y = {1, 2, 3, ... 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

a ∈ Y but a² ∉ Y

If Y = {1, 2, 3, ... 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

a + 1 = 6, a ∈ Y

If Y = {1, 2, 3, ... 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

a is less than 6 and a ∈ Y