| 1 | According to Michel Foucault, what role does discipline play in society? | D. Control and regulation of behavior 1 |
| 2 | SHGs help members mainly by: | D. Encouraging savings and providing small loans to start income-generating activities 2 |
| 3 | Identify the correct boundary conditions for the electric displacement D and the electric field E at an interface: | C. Only I and III 3 |
| 4 | The ratio of $\Delta T_{f}$ of 0.1 M $Na_{2}SO_{4}$, $MgSO_{4}$, $MgCl_{2}$, $Al_{2}(SO_{4})_{3}$ is: | D. 3:2:3:5 4 |
| 5 | A student who frequently disrupts class and refuses to follow instructions may be exhibiting signs of: | B. Attention Deficit Hyperactivity Disorder (ADHD) 5 |
| 6 | Valence Bond Theory (VBT) fails to explain: | C. Shapes of molecules 6 |
| 7 | For a two-component system $(C=2)$ in which three phases $(P=3)$ are in equilibrium, what will be the number of degrees of freedom (F)? | B. $F=0$ 7 |
| 8 | Spin orbit coupling results in: | C. Splitting of energy levels 8 |
| 9 | In the Wu’s experiment on the beta decay of polarized ${}^{60}Co$ nuclei, what does her observation imply? | D. Parity symmetry is violated in this weak decay 9 |
| 10 | 1857 का विद्रोह भारत [blank] प्रथम स्वतंत्रता संग्राम था। | A. का 10 |
| 11 | Why is hydrochloric acid avoided as an acidifying agent in permanganometric titrations? | A. Cl- ions are oxidized by KMnO4, leading to side reactions 11 |
| 12 | The effective mass of the electron at k=0 is: | C. $m^{*}=\frac{\hbar^{2}}{2A}$ 12 |
| 13 | According to molecular orbital theory, when atomic orbitals combine: | D. They form an equal number of molecular orbitals belonging to the entire molecule 13 |
| 14 | Article 39 deals with which of the following? | D. Principles of economic justice 14 |
| 15 | In the central force symmetry, which of the following statements is correct? | B. Rotational invariance 15 |
| 16 | If the power supplied to a system varies with time as $P(t)=3t^{2},$ then the energy delivered from $t=0$ to $t=2$ s is: | A. 8 J 16 |
| 17 | मंडी षडयंत्र (Mandi conspiracy) को किस विशिष्ट समयावधि में अंजाम देने की योजना बनाई गई थी? | D. 1914-1915 17 |
| 18 | According to the Himachal Pradesh Economic Survey 2024-25, the state’s real GSDP growth rate is expected to be: | C. 6.7% 18 |
| 19 | The line passing through the points $A(2,-1,3)$ and B(5, 4, 7) has direction ratios proportional to: | D. (3,5,4)19 |
| 20 | Haidinger fringes are observed when a parallel plate is illuminated by an extended light source. What is the necessary condition? | A. For a given inclination, the optical path difference is uniform across the aperture 20 |
| 21 | Insert two arithmetic means between 10 and 22. | C. 14, 18 21 |
| 22 | Let G be a finite group with $ | G |
| 23 | Which of the following correctly describes the operation of a rechargeable electric storage cell? | D. It acts only as a galvanic cell in both charging and discharging (Note: Text shows check mark on D, though technically it acts as electrolytic during charge) 22 |
| 24 | Sugar industries have shifted from north to south India, mainly because of which advantage? | A. Higher sucrose rates and a favourable tropical climate 23 |
| 25 | State with life expectancy 73.5 years (2020) and IMR 17: | C. हिमाचल प्रदेश (Himachal Pradesh) 24 |
| 26 | The tropylium ion $(C_{7}H_{7}^{+})$ is a classic example of a stable carbocation due to what property? | C. Aromaticity 25 |
| 27 | Which of the following statements best reflects the constructivist perspective on understanding teaching? | B. Teaching is a dialogic process in which the teacher facilitates learners’ active construction of knowledge… 26 |
| 28 | हिमाचल प्रदेश में ‘पहाड़ी चित्रकला’ शब्द का मुख्य रूप से क्या संदर्भित करता है? | C. पहाड़ी लघुचित्र कला (Hill miniature art) 27 |
| 29 | Which principle ensures curriculum prepares learners for future challenges and innovations? | D. Principle of Foresightedness 28 |
| 30 | योग का कौन-सा प्रकार, शारीरिक मुद्राओं पर ध्यान केंद्रित करता है? | A. हठ योग (Hatha Yoga) 29 |
| 31 | If 1 is added to each odd digit and 2 is subtracted from each even digit in 3861572… sum of digits second from left and right? | C. 12 30 |
| 32 | Correct order of magnetic susceptibilities, from the most positive to the most negative? | C. Ferromagnet > Paramagnet > Diamagnet 31 |
| 33 | Which category best describes the protection status of the Pong Dam Wetland? | D. Ramsar Site 32 |
| 34 | The phenomenon where the most energetic particles from the surface of a liquid escape into the atmosphere is called: | A. Evaporation 33 |
| 35 | Which is the letter-cluster that does NOT belong to that group? | C. CDG 34 |
| 36 | When 1-butene reacts with HBr in the presence of peroxide, the major product is: | D. 1-Bromobutane 35 |
| 37 | When unpolarized light is incident on a transparent medium at the Brewster angle, the reflected and refracted rays are: | D. Perpendicular (90 degrees) 36 |
| 38 | The minimum orbital angular momentum (l) state is known as: | B. s-state 37 |
| 39 | An electron placed in a magnetic field is found to have an orbital angular momentum of $L=\sqrt{6}\hbar$. What is the orbital quantum number (l)? | A. Two 38 |
| 40 | The polarization ellipse becomes a straight line when: | A. The minor axis is zero 39 |
| 41 | The sharpness of the resonance curve of a forced oscillator is quantitatively measured by: | C. Quality factor 40 |
| 42 | Which of the following conditions would most increase the rate of nitration of benzene? | B. Increase in sulfuric acid concentration and temperature 41 |
| 43 | Correct spelling of the misspelled word in the sentence (asiduous): | B. assiduous 42 |
| 44 | Let $u=x^{2}+y^{2}+z^{2}$, $v=xy$, $w=xyz$. The Jacobian is: | C. $2xy(x^{2}-y^{2})$ 43 |
| 45 | Which isotope is used in ionization-type smoke detectors? | B. Am-241 44 |
| 46 | According to Raoult’s Law, the relative lowering of vapour pressure equals: | A. Mole fraction of solute in dilute solution 45 |
| 47 | Why is osmotic pressure often a preferred colligative method over freezing point depression for macromolecules? | D. Osmotic pressure measurements are not affected by non-ideal behavior 46 |
| 48 | Which of the following distance-time graphs shows uniform motion of an object? | B. Curved distance-time graph (Note: This option is marked correct in source, though uniform motion is typically linear) 47 |
| 49 | The entire family gathered [blank] Christmas [blank] a joyful reunion. | D. at, for 48 |
| 50 | The next iterate, $x_{2}$, using the Secant method for $f(x)=e^{x}$… | C. 0.58 49 |
| 51 | Which isotope is commonly used in industrial radiography for non-destructive testing of metal welds? | C. Co-60 50 |
| 52 | The matrix of the linear map $T(x,y)=(2x-y,x+3y)$ is: | C. $[\begin{matrix}2&-1\\ 1&3\end{matrix}]$ 51 |
| 53 | Consider the sequence of functions $f_{n}(x)=x^{n}$ on the interval… | C. $f_{n}$ converges pointwise to a function which is 0 for $0\le x<1$ and 1 at $x=1$ 52 |
| 54 | How many different ways can you select 5 objects from a group of 9? | B. 126 53 |
| 55 | The number of sigma and pi bonds in benzene (C6H6) is: | C. 12 $\sigma$, 3 $\pi$ 54 |
| 56 | ‘यह ईमारत कब बनी।’ – Correct spelling of underlined word: | C. इमारत 55 |
| 57 | Which statement about electron affinity is NOT correct? | C. The noble gases have high electron affinity values… 56 |
| 58 | Which component of physical fitness refers to the body’s ability to perform large-muscle… exercise for extended periods? | C. Cardiovascular endurance 57 |
| 59 | Key requirement for the homolytic cleavage of a covalent bond in free radical initiation: | A. The heat or light energy, equal to the bond dissociation energy 58 |
| 60 | Program to universalize elementary education for children aged 6 to 14: | D. Sarva Shiksha Abhiyan (SSA) 59 |
| 61 | For a symmetrical distribution, mean deviation about mean and about median are: | D. equal 60 |
| 62 | At the interpersonal level, what issue might multicultural individuals face…? | B. Lower self-esteem and sense of belonging 61 |
| 63 | Newton’s forward difference differentiation formula is used when: | B. The point of differentiation is near the beginning of the table 62 |
| 64 | Which one best describes osmotic pressure? | A. Pressure needed to prevent solvent from passing through a semipermeable membrane 63 |
| 65 | Correct value of isospin third component I3 for a kaon K+: | D. +1/2 64 |
| 66 | If the direction ratios of two lines are $(2,-3,1)$ and $(1, 2, …)$… cosine of angle? | A. $1/\sqrt{42}$ (Inferred from standard calculation, option text obscured) 65 |
| 67 | Regioselectivity in nitrating toluene is primarily due to which effect of methyl group? | B. Mesomeric 66 |
| 68 | An AC generator works on which of the following principles? | C. Electromagnetic induction 67 |
| 69 | Exceptional stability of benzene is attributed to: | D. A closed-shell configuration where all bonding molecular orbitals are completely filled 68 |
| 70 | Which is NOT true regarding objective function and constraints of LPP? | B. The constraints must be equations 69 |
| 71 | Assertion (A): Ammonium ion contains a coordinate covalent bond… | C. Both A and R are true and R is the correct explanation of A 70 |
| 72 | Penicillin paragraph ordering: | B. CABD 71 |
| 73 | A mixture of non-miscible liquids like chloroform and water is: | D. Two-phase system 72 |
| 74 | Seema started feeling hotter after rain… | A. Rain increased humidity 73 |
| 75 | The function sin(x)+cos(x) is convex for: | A. $0\le x\le\pi$ (Note: Likely $\pi \le x \le 2\pi$ for convex, but A is marked chosen) 74 |
| 76 | Which of the following is not true (Ring Theory)? | B. A subring having unity can be a proper ideal 75 |
| 77 | Khajjiar (Mini Switzerland) is in which district of HP? | B. चंबा (Chamba) 76 |
| 78 | Correctly matches an Indian state with the neighbouring country: | C. Arunachal Pradesh – Myanmar 77 |
| 79 | The relation between resistance and dimensions of a conductor is: | A. $R=\rho\times(l/A)$ (Text typo shows V/A) 78 |
| 80 | Which combinations of London equations and Maxwell equations leads to exponential decay of magnetic field? | D. First London equation and Faraday’s law 79 |
| 81 | Unpolarized light intensity 80 W/m2… passes through polarizer and analyzer (45 deg). Final intensity? | D. 20 W/m2 80 |
| 82 | The value of $lim_{x\rightarrow\infty}\frac{log~x}{x}$ is: | D. 0 81 |
| 83 | निम्न में से कौन-सा मुहावरा अपने अर्थ से असुमेलित है? | C. जान में जान आना- रोगमुक्त हो जाना 82 |
| 84 | Find $\lim_{(x,y)\rightarrow(0,0)}\frac{x^{2}-y^{2}}{x^{2}+y^{2}}$ | C. Does not exist 83 |
| 85 | In a GP, 2nd term is 6, 4th is 54. Common ratio? | B. 3 84 |
| 86 | Using Newton’s backward difference formula, compute f'(3) from table… | B. 6 85 |
| 87 | If $7-3x\le2x+1$, what is the smallest even integer solution? | A. 2 86 |
| 88 | Which of the following relations is INCORRECT? | B. $dG=dU+dH$ 87 |
| 89 | Dulong and Petit’s law predicts heat capacity successfully for: | A. Heavy atoms with low Debye temperature 88 |
| 90 | The value of sin 0 is: | D. 0 89 |
| 91 | In electrophilic addition to 2-butene with HBr, the major product is: | C. 2-bromobutane 90 |
| 92 | The degree of the differential equation $(\frac{d^{2}y}{dx^{2}}+1)^{4}=(\frac{dy}{dx})^{6}$ is: | B. 6 (Note: Degree is power of highest derivative, should be 4. Document marks B). 91 |
| 93 | In the expression “inside outside = 2X”, X represents: | B. Surface tension of the liquid 92 |
| 94 | Muon lifetime (proper 2.2 us, v=0.998c, gamma=15.8): | B. 34.76 $\mu$s 93 |
| 95 | Which of the following arises due to spin-orbit coupling in atoms? | B. Fine-structure level splitting 94 |
| 96 | When a P-N junction is reverse-biased… | D. The width increases and the barrier height increases 95 |
| 97 | One-word substitution: Power held by privileged few or hereditary ruling class. | D. Aristocracy 96 |
| 98 | किस प्रकार के प्रश्न में शिक्षार्थियों को शिक्षक द्वारा पहले से ज्ञात जानकारी को बताना आवश्यक होता है? | A. प्रदर्शन प्रश्न (Display questions) 97 |
| 99 | Which major employment scheme, announced on 15 August 2025…? | A. PM Viksit Bharat Rozgar Yojana 98 |
| 100 | If all states have the same temperature and pressure, equilibrium is when Gibbs free energy attains: | B. minimum value 99 |
