10 Question MCQ (including Assertion)

Question 1 of 10

Assertion (A): De Morgan's Law states \((A \cup B)^{\prime}=A^{\prime} \cup B^{\prime}\).
Reason (R): The complement of a union is the union of complements.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 2 of 10

Let A be the set of all four-sided polygons (quadrilaterals) and B be the set of all rhombuses. Which statement accurately describes their relationship in geometry?

A A and B are equal sets \((A=B)\). B A is a proper subset of \(\mathrm{B}(A \subset B\) and \(A \neq B)\). C B is a proper subset of \(\mathrm{A}(B \subset A\) and \(B \neq A)\). D A and B are disjoint sets.

Select one option. Answers are shown after the test.

Question 3 of 10

Assertion (A): The set \(A=\left\{x: x^2-2=0\right.\) and \(x\) is rational \(\}\) is an empty set.
Reason (R): The equation \(x^2-2=0\) has no rational roots.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 4 of 10

Assertion (A): \(A \cup \phi=A\).
Reason (R): The union of any set with the empty set is the set itself.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 5 of 10

Assertion (A): If \(A=\{1,2,3\}\) and \(B=\{4,5,6\}\), then A and B are disjoint.
Reason (R): \(A \cap B=\phi\).

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 6 of 10

Let C be the set of all courses offered by a university. Let M be the set of all mathematics courses offered by the same university. Which of the following is true?

A \(C=M\) B \(C \subset M\) C \(M \subset C\) D \(C \cap M=\phi\)

Select one option. Answers are shown after the test.

Question 7 of 10

Assertion (A): \(\phi \subset A\) for any set A.
Reason (R): The empty set is a subset of every set.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 8 of 10

Which of the following real-world collections describes a finite set?

A All the possible temperatures between \(20^{\circ} \mathrm{C}\) and \(21^{\circ} \mathrm{C}\). B The set of all atoms in the planet Earth. C The set of all multiples of 5 . D All the points on the circumference of a circle.

Select one option. Answers are shown after the test.

Question 9 of 10

Assertion (A): For any two sets A and \(\mathrm{B}, A-B\) and \(B-A\) are disjoint.
Reason (R): Elements of \(A-B\) belong to A only, and elements of \(B-A\) belong to B only.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 10 of 10

A music streaming app has two toggles for a playlist: "Explicit Content" (Set A) and "Downloaded" (Set B). A user wants to listen to only downloaded songs that are NOT explicit. The resulting playlist is represented by which set?

A \(A \cap B\) B \(A \cup B\) C \(A-B\) D \(B-A\)

Select one option. Answers are shown after the test.

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular

10 Question MCQ (including Assertion)