A body performing motion with a = –kx is in
A UCM
B SHM
C Projectile
D Random motion
Acceleration proportional to displacement and opposite.
Escape velocity on a planet depends on
A Radius
B Mass
C Both mass & radius
D Density
Which lens has positive power
A Concave
B Convex
C Plano-concave
D None
Unit of magnetic flux
A Tesla
B Weber
C Henry
D Gauss
Transformer operates on
A DC
B AC
C Both
D None
Compton effect proves
A Wave nature
B Particle nature
C Dual nature
D Diffraction
A semiconductor with more electrons is
A p-type
B n-type
C Intrinsic
D Superconductor
The force on charge in magnetic field is
A qvB
B q(E + v×B)
C qE
D qB
Skin effect increases with
A Decreasing frequency
B High frequency
C DC
D Low resistance
In TIR, angle of incidence must be
A < critical
B > critical
C = critical
D Any angle
Nuclear binding energy per nucleon is highest for
A U-235
B He-4
C Fe-56
D C-12
Wien’s law relates
A λ and T
B λ and P
C λ and volume
D λ and time
Maxwell’s equations unify
A Heat and light
B Electricity & magnetism
C Matter & energy
D Mechanics & optics
Dimension of Planck constant
A ML²T⁻¹
B ML²T⁻²
C MLT⁻²
D M⁰L²T
The reason for damping in oscillator is
A Elastic force
B Restoring force
C Friction/resistance
D Mass
Photoelectric effect depends on
A Intensity
B Frequency
C Distance
D Time
SI unit of angular momentum
A kg m²/s
B kg m²/s²
C kg m/s
D N m
Poynting vector gives
A Magnetic flux
B Energy flow
C Charge flow
D Resistance
Inverse square law applies to
A Gravitation
B Elastic force
C Friction
D Normal reaction
Michelson-Morley experiment proved absence of
A Light
B Ether
C Magnetism
D Gravity
Heisenberg uncertainty relates
A x & y
B Energy & time
C Position & momentum
D Charge & mass
A rigid body rotates with constant ω means
A α = 0
B α = constant
C Torque increases
D Torque decreases
Critical angle depends on
A Mass
B Refractive index
C Frequency
D Time
Force between two charges is inversely proportional to
A r
B r²
C r³
D r⁴
The ratio of amplitudes in damped SHM decays
A Linearly
B Logarithmically
C Exponentially
D Randomly
Hall effect is used to measure
A Conductivity
B Charge carrier type
C Band gap
D Frequency
Frequency of light remains same when
A Speed changes
B Medium changes
C Temperature changes
D Humidity changes
A pn junction is forward biased when
A p-side at lower potential
B n-side at higher potential
C p-side at higher potential
D Reverse applied
In elastic collision
A KE conserved
B KE lost
C Momentum lost
D Energy destroyed
Wavefront is perpendicular to
A Intensity
B Ray direction
C Area
D Current
What is unit of electric field
A N/C
B C/N
C A/m²
D V
Thermodynamic process with ΔT = 0
A Adiabatic
B Isothermal
C Isochoric
D Isobaric
A material with zero resistivity is
A Semiconductor
B Insulator
C Superconductor
D Dielectric
De Broglie wavelength decreases when
A Speed increases
B Mass decreases
C Momentum decreases
D Charge increases
SI unit of capacitance
A Coulomb
B Farad
C Ohm
D Watt
Threshold frequency corresponds to
A Minimum intensity
B Minimum frequency
C Maximum wavelength
D Minimum wavelength
Kirchhoff’s first law is based on
A Energy conservation
B Charge conservation
C Momentum
D Power
In an RC circuit, time constant is
A R/C
B RC
C 1/RC
D R²C
Sound cannot travel through
A Air
B Steel
C Water
D Vacuum
Fermi level lies at
A Bottom of valence band
B Top of valence band
C Mid of forbidden band
D Top of conduction band
The SI unit of pressure
A Torr
B Pascal
C atm
D bar
Zener diode is used for
A Oscillation
B Rectification
C Voltage regulation
D Filtering
Magnetic susceptibility of diamagnetic materials
A Positive
B Zero
C Negative
D Infinite
Newton’s rings are due to
A Diffraction
B Polarization
C Interference
D Scattering
The rest mass of photon is
A Zero
B Infinite
C Constant
D Variable
A system is in equilibrium when
A Net force = 0
B KE = PE
C Work = 0
D Momentum = 0
Drift velocity increases when
A Area increases
B Temperature increases
C Electric field increases
D Resistance increases
Hybridization of carbon in ethene
A sp³
B sp²
C sp
D dsp²
Rate constant of first-order reaction unit
A mol L⁻¹ s⁻¹
B s⁻¹
C L mol⁻¹ s⁻¹
D mol² s⁻¹
pH of neutral solution at 25°C
A 0
B 7
C 14
D 12
Highest electronegativity
A O
B N
C F
D Cl
Bond present in H₂ molecule
A Ionic
B Covalent
C Coordinate
D Hydrogen
Rate of reaction increases with temperature due to
A Less collisions
B More collisions & energy
C Less activation energy
D Zero activation
Functional group in aldehydes
A –COOH
B –CHO
C –COR
D –OH
Benzene undergoes
A Addition
B Substitution
C Polymerization
D Neutralization
Ozone is an
A Allotrope of O
B Isotope of O
C Ion of O
D Compound
Isomerism due to restricted rotation is
A Geometrical
B Optical
C Structural
D Polymer
KMnO₄ is a strong
A Reducing agent
B Oxidizing agent
C Acid
D Base
Vapour pressure increases with
A Higher temperature
B Lower temperature
C Higher pressure
D Higher volume
Alcohol + Carboxylic acid gives
A Amide
B Ester
C Ketone
D Ether
Water hardness due to
A Na⁺
B K⁺
C Ca²⁺ and Mg²⁺
D Cl⁻
Arrhenius equation relates
A T & K
B pH & T
C K & Eₐ
D Both A & C
Ionic radius increases down a group because
A Nuclear charge increases
B Electrons added to same shell
C Shells increase
D None
Metal used in Galvanization
A Al
B Zn
C Cu
D Ag
Example of buffer
A HCl
B NaOH
C CH₃COOH + CH₃COONa
D NH₄Cl
Amines smell like
A Fruity
B Fishy
C Sweet
D Spicy
Structure of diamond is
A Planar
B Tetrahedral
C Linear
D Hexagonal
pH of strong acid is
A >7
B <7
C =7
D 14
Coordination number of Na⁺ in NaCl
A 2
B 4
C 6
D 8
Catalyst affects
A ΔH
B ΔS
C Activation energy
D ΔG
Aromatic compounds follow rule
A 2π
B 4π
C 4n+2 π
D 2n π
Calcium carbonate is
A CaCl₂
B CaCO₃
C CaO
D Ca(OH)₂
Nitrate ion geometry
A Linear
B Bent
C Trigonal planar
D Tetrahedral
Gas deviate from ideal due to
A Intermolecular attraction
B No attraction
C Low pressure
D High temperature
Ionization enthalpy increases across a period because
A Atomic size increases
B Atomic size decreases
C Nuclear charge decreases
D Shielding increases
Tollen’s reagent is used to test
A Alcohols
B Ketones
C Aldehydes
D Acids
Greenhouse gas
A N₂
B CH₄
C O₂
D Ar
Most reactive halogen
A F
B Cl
C Br
D I
Polymerization of ethene forms
A PVC
B Polyethene
C Polyester
D Nylon
Alloy of Copper & Tin
A Brass
B Bronze
C Solder
D Steel
Hard water is softened by
A Adding NaCl
B Adding soap
C Ion exchange
D Filtration
An example of heterocyclic compound
A Benzene
B Pyridine
C Toluene
D Naphthalene
Chemical formula of gypsum
A CaSO₄
B CaSO₄·2H₂O
C CaCO₃
D CaO
Basicity of H₃PO₄ is
A 1
B 2
C 3
D 4
Bond order of N₂
A 1
B 2
C 3
D 4
Example of strong electrolyte
A CH₃COOH
B HCl
C NH₄OH
D H₂O
Most stable carbocation
A CH₃⁺
B 1°
C 2°
D 3°
Boiling point elevation is a
A Colligative property
B Electrical property
C Magnetic property
D Optical property
Example of Lewis acid
A NH₃
B H⁺
C OH⁻
D CH₃COO⁻
Metal refined by electrolysis
A Au
B Cu
C Ag
D Al
Molecularity is always
A 0
B Fraction
C Integer
D Any value
pH of blood
A 6.4
B 7.4
C 8.4
D 9.2
Exothermic reaction has
A ΔH > 0
B ΔH < 0
C ΔH = 0
D ΔH = ∞
A peptide bond is
A C–H
B C–O
C C–N
D N–H
If f(x)=x², f′(x)=
A x
B 2x
C x³
D 1
Derivative of sinx
A cosx
B –cosx
C –sinx
D tanx
∫ x dx equals
A x²
B x²/2
C x³
D 2x
If A is 2×2 matrix, det(A) is
A Scalar
B Matrix
C Vector
D Function
AM ≥
A GM
B HM
C Neither
D Both
Matrix with rows = columns
A Row matrix
B Square matrix
C Diagonal
D Null
Limit of sinx/x as x→0
A 0
B 1
C ∞
D x
Slope of line y=3x+2
A 2
B 3
C –2
D –3
If f′(a)=0 and f″(a) > 0, then point is
A Maxima
B Minima
C Saddle
D Inflection
|z| denotes
A Real part
B Imaginary part
C Modulus
D Conjugate
If A–I = 0, then A is
A Identity
B Null
C Singular
D Orthogonal
(a+b)² =
A a²+b²
B a²+2ab+b²
C a²–b²
D a²+ab+b²
Solution of dy/dx=0
A y=constant
B y=x
C y=x²
D y=ex
Integration of cosx dx
A sinx
B –sinx
C cosx
D tanx
Eigenvalue of identity matrix
A 0
B 1
C 2
D –1
Derivative of ln x
A x
B 1/x
C x²
D –x
What is binomial coefficient of (n r)
A n!/(n–r)!
B n!/(r!(n–r)!)
C r!/n!
D n!
Tangent of 45°
A 0
B 1
C √3
D ∞
Area under curve y = x from 0 to 1
A 1
B 1/2
C 2
D 0
Determinant of triangular matrix equals
A Sum of diagonal
B Product of diagonal
C Zero
D –1
Differential equation order of d²y/dx²
A 0
B 1
C 2
D 3
If vectors are perpendicular, dot product is
A Max
B Zero
C Min
D Undefined
∫ dx/(1+x²)
A tanx
B arctanx
C sinx
D cosx
θ in radians equals
A s/r
B r/s
C sr
D s+r
If |A|=0, matrix is
A Singular
B Non-singular
C Identity
D Orthogonal
1+2+3+…+n equals
A n²
B n(n+1)/2
C n/2
D 2n
Derivative of e^x
A x e^x
B e^x
C 1/e^x
D 0
tanθ = sinθ/
A cosθ
B secθ
C cosecθ
D cotθ
If roots of quadratic are equal, discriminant is
A >0
B <0
C =0
D infinite
Matrix with all elements zero
A Null matrix
B Identity
C Symmetric
D Skew
If limit exists at a point, function is
A Continuous
B Not continuous
C Always differentiable
D Constant
Derivative of constant
A 1
B 0
C Undefined
D Constant
3-dimensional distance formula
A √(x²+y²)
B √(x²+y²+z²)
C x+y+z
D x²+y²+z²
∫ 1/x dx
A x
B ln|x|
C x²
D e^x
Probability sum of sample space
A 0
B 1
C ∞
D Random
If A = Aᵗ, matrix is
A Null
B Symmetric
C Skew
D Orthogonal
∫ 0 dx
A 0
B x
C 1
D constant
Logₐ(a) =
A 0
B 1
C a
D ∞
Slope of perpendicular lines are
A Same
B Product = –1
C Product = 1
D Sum = 1
d/dx (x³)
A x²
B 3x²
C 3x
D x³
Range of sinθ
A (–∞,∞)
B (–1,1)
C [–1,1]
D [0,1]
Equation of circle
A x²+y²=r²
B x+y=r
C x²+y=r
D x+y²=r²
If determinant is negative, triangle area
A Negative
B Positive
C Zero
D Undefined
If f(x)=3x+1, f(2)=
A 3
B 5
C 7
D 4
0! =
A 0
B 1
C ∞
D undefined
Vector magnitude always
A Negative
B Zero
C Positive
D Undefined
Childhood stage is
A 0–5
B 6–11
C 12–18
D 18–25
Formative assessment is for
A Final marks
B Improving learning
C Selection
D Ranking
Himachal Pradesh formed in
A 1947
B 1950
C 1971
D 1975
Capital of HP
A Mandi
B Shimla
C Solan
D Kangra
First Governor of HP
A S. Chakravarti
B Vishnu Sadashiv
C Y.S. Parmar
D K. Chandrashekhar
Highest peak of HP
A Deo Tibba
B Shilla
C Reo Purgyil
D Kinnaur Kailash
B.Ed focuses on
A Engineering
B Medical
C Teaching skills
D Commerce
Main component of learning
A Teaching only
B Experience
C Punishment
D Marks
Noise pollution mainly causes
A Fever
B Hearing loss
C Cancer
D Cough
Vitamin C deficiency causes
A Rickets
B Scurvy
C Night blindness
D Goitre
Who wrote Constitution of India
A Nehru
B Ambedkar
C Tilak
D Gandhi
Largest organ in human body
A Heart
B Liver
C Skin
D Lungs
UN headquarters
A Geneva
B Paris
C New York
D Delhi
Blood group universal donor
A AB+
B O+
C O–
D AB–
Study of fossils
A Zoology
B Paleontology
C Botany
D Ecology
Kangra painting is famous for
A Sculpture
B Miniature art
C Pottery
D Metal work
Himachal is known as
A Apple state
B Green state
C Power state
D Hill state
Dalhousie is in district
A Shimla
B Kullu
C Chamba
D Solan
Child-centred education was advocated by
A Plato
B Rousseau
C Gandhi
D Tagore
Knowledge society values
A Memorization
B Skills
C Punishment
D Obedience
HP folk dance
A Ghoomar
B Nati
C Garba
D Kathak
Missing number: 2, 6, 12, 20, ?
A 30
B 28
C 26
D 36
Opposite of “Rigid”
A Flexible
B Hard
C Soft
D Loose
Synonym of “Transparent”
A Opaque
B Clear
C Bright
D Soft
Hindi synonym of “सुंदर”
A बुरा
B अच्छा
C मनमोहक
D बड़ा
Correct spelling
A Occurance
B Occurrence
C Ocurence
D Occurence
पितृ का समास
A पितृसदृश
B पितामह
C पितृवंश
D पिता
Himalaya formed due to
A Folding
B Faulting
C Volcano
D Plateau
Which gas causes global warming
A N₂
B CO₂
C O₂
D He
India’s first Prime Minister
A Gandhi
B Nehru
C Patel
D Ambedkar
Odd one out: 3, 9, 27, 81, 250
A 9
B 81
C 250
D 27
Teaching aid example
A Black board
B Punishment
C Homework
D Examination
CPU stands for
A Central Processing Unit
B Control Power Unit
C Central Power Unit
D Computer Processing Use
Which state is north of HP
A Punjab
B Haryana
C J&K
D Uttar Pradesh
Largest river of HP
A Sutlej
B Ravi
C Beas
D Chenab
Carbon monoxide is
A Harmless
B Highly poisonous
C Useful
D Perfume
Light year measures
A Time
B Distance
C Intensity
D Speed
Which is primary color
A Red
B Pink
C Orange
D Brown
Teacher’s attitude should be
A Dominating
B Supportive
C Punishing
D Strict
HP High Court is at
A Shimla
B Solan
C Kullu
D Dharamshala
India became republic in
A 1947
B 1950
C 1962
D 1971
Synonym of “Rapid”
A Slow
B Quick
C Soft
D Bright
Hindi antonym of “अंधेरा”
A उजाला
B प्रकाश
C दिन
D सब
Largest planet
A Earth
B Mars
C Jupiter
D Saturn
Memory used when computer shuts down
A ROM
B RAM
C Cache
D Register
Regular exercise improves
A Illness
B Fitness
C Weakness
D Stress only
Synonym of “Brave”
A Fearful
B Courageous
C Weak
D Lazy
HP’s famous fair
A Pushkar
B Minjar
C Kumbh
D Baisakhi
Himachal was earlier called
A Simla Province
B Chief Commissioner’s Province
C Mountain Province
D Punjab Hill States
Which is NOT renewable energy
A Solar
B Wind
C Coal
D Hydro
Odd one: Apple, Mango, Banana, Carrot
A Apple
B Banana
C Carrot
D Mango
One rupee note is issued by
A RBI
B Govt. of India
C SBI
D Ministry of Finance
Teacher evaluates learning using
A Tests
B Strength
C Punishment
D Behaviour
Below is NOT a teaching aid
A Globe
B Chart
C Blackboard
D Scolding
HP has how many districts
A 10
B 12
C 15
D 20
Synonym of “Ancient”
A Old
B New
C Fresh
D Young
Hindi word “विद्यालय” means
A Playground
B School
C Temple
D Office
Shortest day in Northern Hemisphere
A 21 June
B 22 December
C 1 January
D 15 August
Which is biodegradable
A Plastic
B Paper
C Glass
D Iron
Main objective of teaching is
A Cover syllabus
B Guide students
C Give homework
D Scold