List of practice Questions

Which of the following is a finite set?

If A = {1, 2, {3, 4}, 5}, then which of the following is incorrect?

If A and B are the two sets containing 3 and 6 elements respectively, then what can be the maximum number of elements in A∪B?

For \(\vec{F}=(x+y)\hat{i}+(x+y)\hat{j}\) the value of \(\oint\vec{F}.d\vec{r}\) along the path shown in the figure is ________. Give your answer as an integer.

Let $S_1 = {(x, y) ∈ R^2 ∶ x + y ≥ 1, x + y ≤ 2, y ≥ x^2, x, y ≥ 0}$ and $S_2 = {(x, y) ∈ R^2 ∶ x + y ≥ 1, x + y ≤ 2, y ≤ x^2, x, y ≥ 0}.$ Then, which of the following is CORRECT ?

If \(A=\begin{pmatrix} 1 & -1 \\ 2 & -2 \end{pmatrix}\), the eigenvalues of A are _____

If \( A \) is the set of even natural numbers less than 8 and \( B \) is the set of prime numbers less than 7, then the number of relations from \( A \) to \( B \) is:

Given the following sets:
𝐴 = {2, 4, 6, 8, 10, 12}
𝐵 = {8, 10, 12, 14, 16, 18}
𝐶 = {7, 8, 9, 10 11, 12, 13}
(𝐴 ∩ 𝐵) ∪ (𝐵 ∩ 𝐶) is

Which of the following is true?

In a class of 60 students, 45 students like music, 50 students like dance and 5 students like neither. Then, the number of students in the class who like both music and dance is

Match the following:

A	Null set	I	{x : x is a real number}
B	Singleton set	II	{x : x is a whole number and x < 0}
C	Infinite set	III	{x : x is an even prime number}

Which of the following collections is not a set?

Out of the three thousand people living in a gated community,three hundred people have taken sim card from Company X and 1200 have taken sim card from Company Y.If 100 have taken sim cards from both X andY,how many have not taken any of the two?

Let \( S \) be a set consisting of 10 elements.
The number of tuples of the form \( (A, B) \) such that \( A \) and \( B \) are subsets of \( S \), and \( A \subseteq B \), is \(\underline{\hspace{2cm}}\).

A={C,O,V,I, D, 19, 2020}, B={C,O,V,I, D, 19, 2021} then B-A=?

If \(A∩B = B\), then the correct statement is

A= {P, O, L, Y, T, E, C, H, N, I, Q), B= {P, O, L, Y, C, E, T, 2020), B-A=

If A={a}, B={a,b}, C={a,b,c}, then A∩B∩C=

If A∩B= d. then which of the following is correct?

n(A)=8, n(B)=9, n(A∩B)=6 where A and B are two sets, then n(AUB)=