Maharashtra Board - Class 10 (SSC) 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 question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): The value of $\sin\theta$ cannot exceed 1 for any real angle $\theta$.

Reason (R): In any right-angled triangle, the hypotenuse is the strictly longest side, ensuring the ratio $\text{Perpendicular}/\text{Hypotenuse} \le 1$.

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

[MAT] In a certain code language, 'ROSE' is written as '6821' and 'CHAIR' is written as '73456'. How is 'SEARCH' written in that code?

What is the cause-and-effect relationship established under 'Writing and Balancing Chemical Equations'?

Which standard unit or property is applied when calculating 'Graphical Method'?

Which scientific law or classification system governs 'Cybercrime and Safety on Internet'?

How does understanding 'Solid Waste Management and Disaster Preparedness' benefit environmental conservation in Maharashtra?

Which primary source or geographical evidence verifies 'Natural Vegetation and Wildlife of India and Brazil'?

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

Which statutory enactment was passed by the Indian Parliament following the Bhopal gas disaster and oleum gas leak?

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): 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 $D = b^2 - 4ac = 0$.

Which observation or experiment demonstrates 'Versatile Nature of Carbon (Catenation, Tetravalency)' in school laboratories?

How do we troubleshoot or verify a problem involving 'Bonds in Carbon Compounds: Covalent Bonds'?

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 square root of 2 ($\sqrt{2}$) is an irrational real number.

Reason (R): The square root of any positive prime integer is an irrational number.

What is the cause-and-effect relationship established under 'Chordata Subphyla and Vertebrata Classes (Cyclostomata to Mammalia)'?

What is the outcome when the conditions of 'Theorem of Geometric Mean' are strictly evaluated?

Which property distinguishes 'Construction of Similar Triangles (Distinct & Common Vertex)' from other sub-topics in Geometric Constructions?

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

What measure of financial compensation did the Supreme Court establish in the M.C. Mehta Oleum Gas case?

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 Simon Commission was met with widespread nationwide boycotts and black flag protests upon landing in Bombay in 1928.

Reason (R): The British colonial government failed to appoint a single Indian representative to the seven-member Indian Statutory Commission.

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 measure of financial compensation did the Supreme Court establish in the M.C. Mehta Oleum Gas case?

[SAT] Which layer of the atmosphere contains the ozone layer that absorbs harmful solar ultraviolet (UV) radiation?

Which map element or primary archival source is crucial when analyzing 'Sports and History (Ancient to Modern Olympic)'?