Junior college (Class 11-12)

Himachal Pradesh Board (HPBOSE) - Class 11 previous year questions (PYQ)

7,678 previous year Himachal Pradesh Board (HPBOSE) - Class 11 questions, grouped by year, with answers and solutions.

2026 (2737 questions)

Q1.
In Physics, consider the de Broglie wavelength associated with a particle of mass $m$ moving with velocity $v$. Which statement correctly defines this principle?

(A)
\lambda = hp
(B)
\lambda = \frac{mv}{h}
(C)
\lambda = \frac{h}{2mv^2}
(D)
\lambda = \frac{h}{mv} = \frac{h}{p}
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Q2.
In Physics, consider the de Broglie wavelength associated with a particle of mass $m$ moving with velocity $v$. Which statement correctly defines this principle?

(A)
\lambda = \frac{h}{2mv^2}
(B)
\lambda = hp
(C)
\lambda = \frac{mv}{h}
(D)
\lambda = \frac{h}{mv} = \frac{h}{p}
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2025 (407 questions)

Q1.

Refer to the Case Study 'Case Study: Optical Fibers and Total Internal Reflection in Medical Endoscopy' to answer:

What essential conditions must be satisfied for total internal reflection to occur within the optical fiber?


(A)
Light must propagate from an optically denser medium to a rarer medium, and the angle of incidence must exceed the critical angle
(B)
Light must propagate from a rarer medium to a denser medium at an angle less than the critical angle
(C)
Both core and cladding must possess identical refractive indices
(D)
Light must be polarized parallel to the fiber axis
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Q2.

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.


(A)
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B)
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C)
Assertion (A) is true but Reason (R) is false.
(D)
Assertion (A) is false but Reason (R) is true.
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2024 (901 questions)

Q1.
In Social Science / Indian Studies, identify the historically and geographically correct fact regarding Central Bank of India established in 1935 responsible for monetary policy and currency issuance.

(A)
Reserve Bank of India (RBI)
(B)
Securities and Exchange Board of India (SEBI)
(C)
NITI Aayog
(D)
State Bank of India (SBI)
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Q2.
In Biological Sciences, identify the accurate description regarding Vascular plant tissue responsible for unidirectional transport of water and dissolved minerals from roots to leaves.

(A)
Collenchyma (supporting tissue)
(B)
Phloem (sieve tubes and companion cells)
(C)
Cambium (meristematic tissue)
(D)
Xylem (composed of tracheids, vessels, xylem parenchyma, and xylem fibres)
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2023 (406 questions)

Q1.

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.


(A)
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B)
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C)
Assertion (A) is true but Reason (R) is false.
(D)
Assertion (A) is false but Reason (R) is true.
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Q2.

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

Assertion (A): Heavy water ($D_2O$) is utilized as a moderator in thermal nuclear power reactors.

Reason (R): Deuterium nuclei slow down energetic fission neutrons through elastic collisions without substantial parasitic neutron absorption.


(A)
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B)
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C)
Assertion (A) is true but Reason (R) is false.
(D)
Assertion (A) is false but Reason (R) is true.
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2022 (417 questions)

Q1.

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*.


(A)
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B)
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C)
Assertion (A) is true but Reason (R) is false.
(D)
Assertion (A) is false but Reason (R) is true.
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Q2.

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*.


(A)
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B)
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C)
Assertion (A) is true but Reason (R) is false.
(D)
Assertion (A) is false but Reason (R) is true.
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2021 (428 questions)

Q1.
In Social Science / Indian Studies, identify the historically and geographically correct fact regarding Sector of the Indian economy that includes agriculture, dairy, fishing, and forestry.

(A)
Quaternary Sector (Research & Information)
(B)
Tertiary Sector (Services & Banking)
(C)
Secondary Sector (Manufacturing & Industry)
(D)
Primary Sector, directly dependent on exploitation of natural resources
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Q2.
In Social Science / Indian Studies, identify the historically and geographically correct fact regarding Fundamental Rights in the Indian Constitution are enshrined in which Part.

(A)
Part II (Citizenship)
(B)
Part IVA (Fundamental Duties)
(C)
Part IV (Directive Principles of State Policy)
(D)
Part III (Articles 12 to 35)
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2020 (405 questions)

Q1.
In Chemistry, examine the topic of Functional group present in all Carboxylic Acids. Which statement is scientifically accurate?

(A)
COOH (Carboxyl group composed of carbonyl and hydroxyl groups)
(B)
CO- (Carbonyl ketone group)
(C)
CHO (Formyl group)
(D)
OH (Alcoholic hydroxyl group)
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Q2.
Calculate 7 × 7.

(A)
51
(B)
49
(C)
42
(D)
56
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2019 (410 questions)

Q1.

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

Assertion (A): Electric current in a conductor is treated as a scalar physical quantity.

Reason (R): Although electric current has both magnitude and direction, it does not obey the laws of vector addition.


(A)
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B)
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C)
Assertion (A) is true but Reason (R) is false.
(D)
Assertion (A) is false but Reason (R) is true.
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Q2.

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

Assertion (A): Heavy water ($D_2O$) is utilized as a moderator in thermal nuclear power reactors.

Reason (R): Deuterium nuclei slow down energetic fission neutrons through elastic collisions without substantial parasitic neutron absorption.


(A)
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B)
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C)
Assertion (A) is true but Reason (R) is false.
(D)
Assertion (A) is false but Reason (R) is true.
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2018 (410 questions)

Q1.
In Business Studies and Accountancy, what is the core principle governing Golden rule of accounting for Nominal Accounts (Expenses, Losses, Incomes, Gains)?

(A)
Debit the receiver, Credit the giver
(B)
Debit what comes in, Credit what goes out
(C)
Debit all assets, Credit all liabilities
(D)
Debit all expenses and losses, Credit all incomes and gains
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Q2.
In Social Science / Indian Studies, identify the historically and geographically correct fact regarding Sector of the Indian economy that includes agriculture, dairy, fishing, and forestry.

(A)
Secondary Sector (Manufacturing & Industry)
(B)
Quaternary Sector (Research & Information)
(C)
Tertiary Sector (Services & Banking)
(D)
Primary Sector, directly dependent on exploitation of natural resources
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2017 (387 questions)

Q1.

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

Assertion (A): Under the Constitution of India, the judiciary enjoys structural independence from executive and legislative interference.

Reason (R): Judges of the Supreme Court and High Courts have security of tenure and their judicial salaries are charged directly to the Consolidated Fund of India.


(A)
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B)
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C)
Assertion (A) is true but Reason (R) is false.
(D)
Assertion (A) is false but Reason (R) is true.
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Q2.

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


(A)
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B)
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C)
Assertion (A) is true but Reason (R) is false.
(D)
Assertion (A) is false but Reason (R) is true.
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2016 (372 questions)

Q1.

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?


(A)
The Environment (Protection) Act, 1986
(B)
The Factories Act, 1948
(C)
The Wildlife Protection Act, 1972
(D)
The Indian Penal Code, 1860
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Q2.

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?


(A)
The measure of damages must be exemplary and correlated to the financial magnitude and wealth of the enterprise
(B)
Damages are strictly limited to verified hospital pharmacy bills
(C)
Damages are paid exclusively from the State disaster relief treasury
(D)
No financial compensation is awarded without a formal criminal conviction
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2015 (398 questions)

Q1.

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.


(A)
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B)
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C)
Assertion (A) is true but Reason (R) is false.
(D)
Assertion (A) is false but Reason (R) is true.
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Q2.

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

Assertion (A): Heavy water ($D_2O$) is utilized as a moderator in thermal nuclear power reactors.

Reason (R): Deuterium nuclei slow down energetic fission neutrons through elastic collisions without substantial parasitic neutron absorption.


(A)
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B)
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C)
Assertion (A) is true but Reason (R) is false.
(D)
Assertion (A) is false but Reason (R) is true.
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