Haryana Board (BSEH) - Class 10 (Matric) previous year questions (PYQ)

[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): Diamond sparkles brilliantly with internal radiance.

Reason (R): Total internal reflection of light occurs inside diamond because its critical angle is exceptionally small (approximately 24.4°).

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

What is the crucial legal distinction between the English rule of 'Strict Liability' and Indian 'Absolute Liability'?

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.

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?

Refer to the Case Study 'Case Study: Parabolic Cable Geometry in Civil Engineering Suspension Bridges' to answer:

What geometric property distinguishes the vertex of the upward-opening parabola $y = ax^2 + c$ ($a > 0$)?

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 $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$.

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

Assertion (A): Danger signals on communication towers and traffic posts are always illuminated in red color.

Reason (R): Red light has the longest wavelength in the visible spectrum and suffers minimum Rayleigh scattering ($I \propto 1/\lambda^4$) through fog and smoke.

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

Assertion (A): Terrace farming is widely practiced in hilly and mountainous agro-ecosystems.

Reason (R): Terraces create stepped flat platforms along slopes that significantly reduce the surface velocity of water runoff and prevent topsoil erosion.

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

Assertion (A): An agreement entered into without lawful consideration is void ab initio under Section 25 of the Indian Contract Act 1872.

Reason (R): Lawful consideration is a mandatory statutory pillar of contractual enforceability under the legal maxim *ex nudo pacto non oritur actio*.

Refer to the Case Study 'Case Study: Parabolic Cable Geometry in Civil Engineering Suspension Bridges' to answer:

Determine the parameter $c$ in the parabolic equation $y = ax^2 + c$ from the vertex information.

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

Assertion (A): An agreement entered into without lawful consideration is void ab initio under Section 25 of the Indian Contract Act 1872.

Reason (R): Lawful consideration is a mandatory statutory pillar of contractual enforceability under the legal maxim *ex nudo pacto non oritur actio*.

[MAT] Find the odd one out from the given options:

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

Assertion (A): The sky appears dark or black to an astronaut in outer space.

Reason (R): There is no atmosphere in space to cause Rayleigh scattering of sunlight towards the observer's eyes.