Punjab Board - Class 10 (PSEB Matriculation Board Exam) previous year questions (PYQ)

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): The quadratic equation $x^2 - 6x + 9 = 0$ has real and equal roots.

Reason (R): A quadratic equation $ax^2 + bx + c = 0$ has real and equal roots if and only if its discriminant $D = b^2 - 4ac = 0$.

Directions: In the following question, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): Plaster of Paris should always be stored in moisture-proof airtight containers.

Reason (R): Plaster of Paris ($CaSO_4 \cdot \frac{1}{2}H_2O$) absorbs moisture from the atmosphere and sets into a hard solid mass of gypsum ($CaSO_4 \cdot 2H_2O$).

[SAT] Which gas is primarily responsible for the greenhouse effect and global warming?

[MAT] A clock shows 8:30. What is the angle between the hour hand and the minute hand?

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): A convex mirror is commonly used as a driver's rear-view mirror in automobiles.

Reason (R): A convex mirror always forms an erect, virtual, and diminished image, providing a much wider field of view.

[SAT] Who was the Chairman of the Drafting Committee of the Indian Constituent Assembly?

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): If two linear equations represent coincident lines, the system has infinitely many solutions.

Reason (R): Two lines $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$ coincide when $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$.

Refer to the Case Study 'Case Study: Hazardous Enterprise and Supreme Court Doctrine of Absolute Liability' to answer:

Which Fundamental Right under Part III of the Constitution was invoked as the constitutional foundation for environmental protection?

[MAT] Pointing to a photograph, a woman said, 'He is the only son of the father of my brother.' How is the man in the photograph related to the woman?

[MAT] Pointing to a photograph, a woman said, 'He is the only son of the father of my brother.' How is the man in the photograph related to the woman?

Directions: In the following question, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): Money in the form of currency notes and coins is universally accepted as a medium of exchange.

Reason (R): Currency notes in India are legally authorized and backed by the central government through the Reserve Bank of India (RBI).