The number of significant figures in 0.004560 is
A 3
B 4
C 5
D 6
Leading zeros are not significant; 4,5,6,0 → 4 digits.
If 2.5 mol of an ideal gas occupies 56 L at STP, its molar volume is approximately
A 20 L mol⁻¹
B 22.4 L mol⁻¹
C 25 L mol⁻¹
D 28 L mol⁻¹
At STP, 1 mol of any ideal gas ≈ 22.4 L.
For hydrogen atom, the energy of the first orbit is −13.6 eV. The energy of the second orbit is
A −6.8 eV
B −3.4 eV
C −2.4 eV
D −1.7 eV
Eₙ = −13.6/n² → E₂ = −13.6/4 = −3.4 eV.
Azimuthal quantum number (l) for p-orbital is
A 0
B 1
C 2
D 3
s=0, p=1, d=2, f=3.
Among the following, the species with smallest radius is
A Na
B Na⁺
C Mg²⁺
D Al³⁺
More positive charge, same shell → smaller radius; Al³⁺ smallest.
The correct order of electronegativity is
A F > O > N > C
B O > F > N > C
C N > O > F > C
D C > N > O > F
Fluorine is most electronegative, then O, N, C.
Mole fraction of solute in a solution is 0.2. Mole fraction of solvent is
A 0.2
B 0.4
C 0.6
D 0.8
x_solute + x_solvent = 1 → x_solvent = 0.8.
Colligative properties depend on
A Nature of solute
B Nature of solvent
C Number of solute particles
D Shape of solute particles
They depend only on particle count, not type.
The rate of a reaction becomes 8 times when concentration of reactant becomes double. Order of reaction is
A 1
B 2
C 3
D 4
Rate ∝ [A]ⁿ; 2ⁿ = 8 → n = 3.
A first-order reaction has half-life of 10 minutes. Time required for 75% completion is
A 10 min
B 20 min
C 30 min
D 40 min
75% completion = 2 half-lives → 2×10 = 20 min.
The unit of rate constant for a second-order reaction is
A s⁻¹
B mol L⁻¹ s⁻¹
C L mol⁻¹ s⁻¹
D L² mol⁻² s⁻¹
For second order, k has units (concentration)⁻¹ time⁻¹.
In a zero-order reaction, rate is
A Independent of concentration
B Directly proportional to concentration
C Proportional to square of concentration
D Inversely proportional to concentration
Zero-order rate does not depend on [reactant].
At 25°C, pH of pure water is
A 6
B 7
C 8
D 14
[H⁺] = 10⁻⁷ M → pH = 7.
Conjugate base of H₂PO₄⁻ is
A H₃PO₄
B HPO₄²⁻
C PO₄³⁻
D H₂PO₃⁻
Removal of one H⁺ from H₂PO₄⁻ gives HPO₄²⁻.
pH of a 1×10⁻² M NaOH solution is approximately
A 2
B 10
C 12
D 14
Strong base, [OH⁻]=10⁻² ⇒ pOH=2 ⇒ pH=12.
Standard EMF of cell is positive when reaction is
A Non-spontaneous
B Spontaneous
C At equilibrium
D Impossible
E°cell > 0 ⇒ ΔG° < 0 ⇒ spontaneous.
In electrolytic refining of copper, pure copper is obtained at
A Anode
B Cathode
C Both
D Electrolyte
Copper ions deposit on cathode as pure Cu.
Example of heterogeneous equilibrium is
A N₂(g) + 3H₂(g) ⇌ 2NH₃(g)
B CaCO₃(s) ⇌ CaO(s) + CO₂(g)
C 2NO₂(g) ⇌ N₂O₄(g)
D H₂(g) + Cl₂(g) ⇌ 2HCl(g)
More than one phase (solid + gas).
For exothermic reaction, equilibrium constant
A Increases with rise in T
B Decreases with rise in T
C Independent of T
D Becomes zero
Increasing T shifts equilibrium backward, reducing K.
Toluene is
A Methylbenzene
B Ethylbenzene
C Phenylmethane
D Both A and C
C₆H₅CH₃ = methylbenzene = phenylmethane.
Which of the following gives test with Tollens’ reagent
A Methanol
B Ethanol
C Ethanal
D Propanone
Aldehydes are oxidised by Tollens’; α-hydroxy ketones also, but here ethanal.
IUPAC name of CH₃–CH(OH)–CH₃ is
A Ethanol
B 1-propanol
C 2-propanol
D Methanol
Three carbons, OH on C2 ⇒ propan-2-ol.
During nitration, benzene forms nitrobenzene. Type of reaction is
A Electrophilic addition
B Nucleophilic substitution
C Electrophilic substitution
D Free radical substitution
Aromatic nitration = electrophilic substitution.
The most stable carbocation among these is
A CH₃⁺
B CH₃–CH₂⁺
C (CH₃)₂CH⁺
D (CH₃)₃C⁺
3° carbocation most stabilised by hyperconjugation.
Which compound will show optical isomerism
A 2-bromopropane
B 2-butanol
C Propanone
D 1-propanol
2-butanol has a chiral carbon (four different groups).
In Grignard reagent, magnesium is bonded to
A More electronegative atom
B More electropositive atom
C Oxygen atom
D Only hydrogen
RMgX: Mg bonded to halogen & carbon; both more electronegative than Mg, C is nucleophilic.
Homologous series differ by
A CH₃
B CH₂
C C₂H₄
D CH
Adjacent members differ by –CH₂–.
In [Fe(CN)₆]⁴⁻, oxidation number of Fe is
A +1
B +2
C +3
D +4
Let Fe = x; x + 6(−1) = −4 ⇒ x = +2.
Chelate effect is due to
A Weak metal–ligand bonds
B Entropy increase from multidentate ligands
C Decrease in entropy
D Redox property
Chelating ligands form more stable complexes mainly due to favourable entropy.
d-block elements are called transition metals because
A They are metals
B They form coloured compounds
C They have partially filled d-orbitals
D They are radioactive
Definition: elements with partially filled d-sub-shell in atoms/ions.
Which gas is responsible for depletion of ozone layer
A CO₂
B CFCs
C SO₂
D CH₄
Chlorofluorocarbons release Cl radicals which destroy O₃.
“Greenhouse effect” is mainly due to
A Visible radiation
B UV radiation
C Infrared radiation absorption
D X-rays
Greenhouse gases trap outgoing IR radiation.
BOD is used to measure
A Toxicity of water
B Organic pollution in water
C Hardness of water
D Dissolved oxygen only
Biochemical Oxygen Demand indicates biodegradable organic matter.
In DNA, sugar is
A Glucose
B Ribose
C Deoxyribose
D Fructose
DNA has 2-deoxyribose; RNA has ribose.
Nylon-6,6 is prepared from
A Adipic acid and hexamethylene diamine
B Terephthalic acid and ethylene glycol
C Phenol and formaldehyde
D Caprolactam
Condensation polymer of these two monomers.
Teflon is
A Polyvinyl chloride
B Polytetrafluoroethylene
C Polyethylene terephthalate
D Polystyrene
PTFE, used as non-stick coating.
Drug that kills bacteria is called
A Antibiotic
B Analgesic
C Antacid
D Tranquiliser
Antibiotics inhibit/kill microorganisms.
Primary standard solution is one which
A Is unstable
B Has high molecular weight, stable & pure
C Is always coloured
D Is volatile
Used for accurate standardisation.
In chromatography, stationary phase is
A Always gas
B Always liquid
C Either solid or liquid on solid support
D Only solid
Many types; e.g., liquid on solid support, paper, etc.
The process of heating ore in absence of air is
A Roasting
B Calcination
C Smelting
D Leaching
Calcination removes volatile impurities, water, CO₂ etc.
Extraction of aluminium from bauxite uses
A Blast furnace
B Electrolytic reduction of alumina
C Cementation
D Zone refining
Hall–Héroult process.
Ozone has maximum concentration in
A Troposphere
B Stratosphere
C Ionosphere
D Mesosphere
Ozone layer is chiefly in lower stratosphere.
Which is a biodegradable polymer
A PHBV
B PVC
C Polystyrene
D Teflon
Polyhydroxybutyrate-co-hydroxyvalerate is biodegradable.
Which molecule shows sp hybridisation at central atom
A CO₂
B BF₃
C CH₄
D NH₃
CO₂ has linear geometry; carbon sp-hybridised.
Zeolites are used as
A Fertilisers
B Ion-exchange catalysts
C Refrigerants
D Explosives
Aluminosilicates used as ion exchangers and catalysts.
If Sₙ = 3n² + 2n, then the nth term of sequence is
A 6n + 2
B 6n − 1
C 3n + 2
D 3n − 1
tₙ = Sₙ − Sₙ₋₁ = (3n²+2n) − [3(n−1)²+2(n−1)] = 6n−1.
Sum of infinite GP with first term 5 and common ratio 1/3 is
A 5
B 7.5
C 10
D 15
S∞ = a/(1−r) = 5/(1−1/3) = 5/(2/3) = 7.5.
Number of permutations of the word “MATHS” is
A 60
B 120
C 24
D 20
5 distinct letters → 5! = 120.
Value of (8 choose 3) is
A 28
B 35
C 40
D 56
8C3 = 8×7×6 / (3×2×1) = 56.
If f(x) = x² − 3x + 2, then f(−1) is
A 6
B 4
C 2
D 0
f(−1)=1+3+2=6.
If sin θ = 3/5, θ in first quadrant, then cos θ equals
A 4/5
B 5/3
C 3/4
D 1/5
cos θ = √(1−9/25) = 4/5.
General solution of sin x = 0 is
A x = nπ
B x = 2nπ
C x = (2n+1)π
D x = nπ/2
Sine zero at multiples of π.
Slope of line 3x − 2y + 5 = 0 is
A 3/2
B −3/2
C 2/3
D −2/3
y = (3/2)x + c ⇒ slope = 3/2.
Equation of line parallel to x-axis and passing through (2,−3) is
A x = 2
B y = −3
C x + y = −1
D y = 2
If A =
1 2
3 4 then det(A) is
A −2
B 2
C −5
D 5
1×4 − 2×3 = 4 − 6 = −2.
The inverse of a 2×2 matrix exists iff
A Trace ≠ 0
B Determinant ≠ 0
C Rows are equal
D Columns are proportional
If mean of 6 numbers is 8, sum of numbers is
A 36
B 42
C 48
D 54
Mean = sum/n ⇒ 8 = S/6 ⇒ S=48.
Mode of data 2,3,4,4,4,5,5,6 is
A 2
B 4
C 5
D 6
4 appears maximum times.
The complex number z = 4(cos 60° + i sin 60°) has real part
A 1
B 2
C 3
D 4
Re(z)=4×½ =2.
If z₁ = 2 + 3i and z₂ = 1 − i, then z₁ + z₂ is
A 3 + 2i
B 3 + 4i
C 1 + 2i
D 1 + 4i
(2+1) + (3−1)i = 3+2i.
\u2202/ \u2202x (x³) =
A 3x²
B x²
C 2x
D 3x
∫2x dx =
A x² + C
B 2x² + C
C x + C
D 2x + C
∫2x dx = x² + C.
If y = sin x, then d²y/dx² is
A sin x
B cos x
C −sin x
D −cos x
y’ = cos x, y”=−sin x.
For function f(x) = |x| at x = 0
A Not differentiable
B Differentiable
C Not continuous
D Constant
Left derivative = −1, right = 1.
The area under the curve y = x from x=0 to x=3 is
A 3
B 4.5
C 6
D 9
∫₀³ x dx = [x²/2]₀³ = 9/2 = 4.5.
Circle x² + y² = 16 has radius
A 2
B 3
C 4
D 8
For parabola y² = 4ax, focus lies at
A (a,0)
B (2a,0)
C (0,a)
D (0,2a)
Vectors a and b are perpendicular if
A a·b = 0
B |a| = |b|
C a = b
D a×b = 0
Magnitude of cross product |a×b| is
A ab cosθ
B ab sinθ
C a² + b²
D a² − b²
A group (G,*) must satisfy all except
A Associativity
B Identity element
C Inverse of every element
D Commutativity
Commutativity needed only for abelian group.
Every field is
A Not a ring
B A commutative ring with identity
C Only a group
D Not closed under addition
Rank of matrix is
A Number of rows
B Number of columns
C Number of non-zero rows in echelon form
D Trace of matrix
Eigenvalues of identity matrix of order n are
A 0 only
B 1 only
C 0 and 1
D n
For analytic function f(z), Cauchy–Riemann conditions are necessary and (under suitable conditions)
A Sufficient
B Never sufficient
C Only sufficient
D Not related
Sequence aₙ = (−1)ⁿ converges to
A 0
B 1
C −1
D Does not converge
It oscillates between −1 and 1.
If ∑ aₙ converges absolutely, then it
A Always diverges
B Converges conditionally
C Converges
D Alternates
Newton–Raphson method is used to
A Integrate
B Solve differential equations
C Find root of equation
D Solve linear system
Simpson’s 1/3 rule uses how many points at minimum
A 2
B 3
C 4
D 5
Requires two intervals, three points.
In LPP, corner points of feasible region correspond to
A Only infeasible solutions
B Basic feasible solutions
C No solutions
D Optimal solution only
Gradient of φ = x² + y² + z² is
A (x,y,z)
B (2x,2y,2z)
C (x²,y²,z²)
D (1,1,1)
Divergence of vector field F = (x, y, z) is
A 0
B 1
C x + y + z
D 3
∂x/∂x + ∂y/∂y + ∂z/∂z = 1+1+1=3.
Standard deviation is square root of
A Mean
B Median
C Variance
D Range
If P(E)=0.3, then probability of not E is
A 0.3
B 0.5
C 0.7
D 1
Conditional probability P(A|B) is
A P(A)/P(B)
B P(A∩B)/P(B)
C P(A∩B)/P(A)
D P(B)/P(A)
Two events are independent if
A P(A∩B) = P(A)+P(B)
B P(A∩B) = P(A)P(B)
C P(A|B)=0
D P(A|B)=1
Equation of plane with normal (1,−2,3) and passing through origin is
A x−2y+3z=0
B x+2y+3z=0
C x−2y−3z=0
D x+2y−3z=0
Jacobian of transformation (x,y) → (u,v) is
A ∂(u,v)/∂(x,y)
B ∂(x,y)/∂(u,v)
C 1
D 0
If a discrete random variable takes only value 5 with probability 1, its variance is
A 0
B 5
C 10
D 25
In binomial distribution, n=5, p=0.4, mean is
A 1
B 2
C 2.5
D 3
Mean = np = 5×0.4 = 2.
Correlation coefficient r = 1 means
A No correlation
B Perfect positive correlation
C Perfect negative correlation
D Random
If two lines in a plane intersect, their system of equations has
A No solution
B Unique solution
C Infinite solutions
D Complex solution
Differential equation dy/dx = 3x² has general solution
A y = x³ + C
B y = x³
C y = x² + C
D y = 3x³ + C
Order of differential equation y” + 3y’ + 2y = 0 is
A 0
B 1
C 2
D 3
Degree of differential equation (d²y/dx²)² + (dy/dx)³ = 0 is
A 1
B 2
C 3
D 4
Highest order derivative is second and appears squared ⇒ degree = 2.
In numerical integration, smaller step size generally
A Increases error
B Decreases error
C Does not affect error
D Makes method unstable
A car accelerates from rest at 2 m/s². Distance travelled in 5 s is
A 10 mB 25 m
C 50 m
D 100 m
s = ½at² = 0.5×2×25 = 25 m.
A body of mass 4 kg moving with velocity 3 m/s has momentum
A 7 kg m/s
B 12 kg m/s
C 16 kg m/s
D 4 kg m/s
p = mv = 4 × 3 = 12 kg·m/s.
Work done when a force of 20 N moves a body by 5 m in direction of force
A 25 J
B 50 J
C 75 J
D 100 J
W = F·s = 20 × 5 = 100 J.
Power is defined as
A Work × time
B Work / time
C Force × time
D Energy × time
Power = rate of doing work = Work / time.
A satellite moving in circular orbit has
A Only kinetic energy
B Only potential energy
C Both kinetic and potential energy
D No energy
A satellite in orbit possesses kinetic energy due to motion and gravitational potential energy.
Dimension of gravitational constant G is
A M⁻¹L³T⁻²
B ML²T⁻²
C MLT⁻²
D M⁻²L²T⁻²
From F = Gm₁m₂/r², dimensions of G = [M⁻¹L³T⁻²].
Centre of mass of uniform rod of length L is at
A L/4 from one end
B L/3 from one end
C L/2 from one end
D 2L/3 from one end
For a uniform rod the centre of mass is at its midpoint, L/2 from an end.
Moment of inertia depends on
A Mass only
B Distribution of mass from axis
C Velocity of body
D Force on body
Moment of inertia depends on mass distribution relative to the axis of rotation.
Escape velocity from Earth is about
A 3 km/s
B 8 km/s
C 11.2 km/s
D 20 km/s
Escape velocity from Earth ≈ 11.2 km/s.
First law of thermodynamics is a statement of
A Conservation of mass
B Conservation of energy
C Conservation of momentum
D Conservation of entropy
The first law states that energy is conserved (ΔU = Q − W).
Isothermal process occurs at constant
A Pressure
B Volume
C Temperature
D Entropy
Isothermal means temperature remains constant.
For an ideal gas, PV =
A nRT
B nR/T
C nT/R
D RT
Ideal gas law: PV = nRT.
A simple harmonic motion has displacement x = A sin(ωt). Maximum speed is
A Aω
B A/ω
C ω/A
D A²ω
v_max = Aω for x = A sin(ωt).
Time period of a simple pendulum (small oscillations) depends on
A Amplitude
B Length and g
C Mass of bob
D Material of string
T = 2π√(L/g) — depends on length and gravitational acceleration.
Velocity of sound is maximum in
A Solid
B Liquid
C Gas
D Vacuum
Sound travels fastest in solids because particles are more closely packed.
A wave has frequency 200 Hz and wavelength 1.7 m. Speed is
A 100 m/s
B 200 m/s
C 340 m/s
D 400 m/s
v = fλ = 200 × 1.7 = 340 m/s.
Coulomb force between two charges q and −q separated by r
A Attractive
B Repulsive
C Zero
D Infinite
Opposite charges attract, so the force is attractive.
SI unit of electric field is
A Coulomb
B Volt
C Volt per metre
D Ohm
Electric field has units of V/m (or N/C).
Capacitance of parallel plate capacitor is proportional to
A Plate separation
B 1/area
C Area/plate separation
D (plate separation)²
C ∝ A/d for a parallel plate capacitor.
Two resistors 3 Ω and 6 Ω are connected in parallel to 6 V. Current through 3 Ω is
A 1 A
B 2 A
C 3 A
D 4 A
I = V/R = 6/3 = 2 A.
Magnetic field inside a long current-carrying solenoid is
A Uniform
B Zero
C Infinity
D Only at ends
Inside a long solenoid the magnetic field is approximately uniform.
EMF induced in a coil is given by
A Faraday’s law
B Newton’s law
C Gauss’s law
D Coulomb’s law
Faraday’s law relates changing magnetic flux to induced EMF.
Power factor of purely resistive AC circuit is
A 0
B 1
C −1
D 0.5
In a purely resistive circuit voltage and current are in phase ⇒ power factor = 1.
EM waves do not require
A Electric field
B Magnetic field
C Medium
D Energy
Electromagnetic waves can propagate in vacuum — they do not require a material medium.
Speed of light in a medium with refractive index μ is
A μc
B c/μ
C μ/c
D cμ²
v = c/n (where n is refractive index μ).
Convex lens of focal length 20 cm has power
A +2 D
B +4 D
C +5 D
D +10 D
P = 1/f(m) = 1/0.2 = 5 D.
Optical fibre works on
A Refraction
B Total internal reflection
C Diffraction
D Interference
Optical fibres guide light by total internal reflection.
Two coherent sources must have
A Same intensity
B Constant phase difference
C Same amplitude only
D Same distance
Coherent sources maintain a constant phase relationship.
In photoelectric effect, stopping potential increases with
A Intensity
B Frequency
C Area of plate
D Time
KE_max = hν − φ; higher frequency increases KE_max and hence stopping potential.
According to Einstein’s photoelectric equation, slope of graph of KE_max vs frequency is
A h
B 1/h
C c
D e
KE_max = hν − φ, so slope = h.
Uncertainty principle: ΔxΔp ≥
A h
B h/2
C h/4π
D ħ/2
Standard form: ΔxΔp ≥ ħ/2.
De Broglie wavelength of electron accelerated through potential V is proportional to
A 1/√V
B √V
C 1/V
D V
λ ∝ 1/√V for electrons accelerated through potential V.
Intrinsic semiconductor has
A Only electrons as carriers
B Only holes
C Equal electrons and holes
D No charge carriers
Intrinsic semiconductor has equal concentrations of electrons and holes.
Forward biasing a p–n junction means
A p to negative, n to positive
B p to positive, n to negative
C both to positive
D both to negative
Forward bias reduces the barrier by applying positive to p-side and negative to n-side.
Zener diode is used as
A Rectifier
B Voltage regulator
C Amplifier
D Oscillator
Zener diodes maintain a nearly constant voltage in reverse breakdown—used for regulation.
Half-life of radioactive substance is time during which
A All atoms disintegrate
B Activity becomes zero
C Activity becomes half
D Mass doubles
Half-life = time for activity (or number of nuclei) to reduce to half.
Nuclear reaction releasing energy due to joining of light nuclei is
A Fission
B Fusion
C Radioactivity
D Scattering
Fusion joins light nuclei, releasing large amounts of energy.
In Bohr model, angular momentum is quantised as
A nħ
B n²ħ
C ħ/n
D 2nħ
Bohr quantisation: L = nħ.
Majority charge carriers in n-type semiconductor are
A Electrons
B Holes
C Protons
D Neutrons
n-type doping adds electrons, making electrons the majority carriers.
Logic gate with output 0 when both inputs 1 (i.e. complement of AND) is
A OR
B XOR
C NAND
D NOR
NAND gives 0 only when both inputs are 1 (it’s the complement of AND).
Binding energy per nucleon is highest for elements around
A Hydrogen
B Uranium
C Iron
D Helium
Iron-group nuclei have the highest binding energy per nucleon.
In millikan oil drop experiment, elementary charge was found by
A Balancing electric and magnetic forces
B Balancing electric force and weight
C Measuring photoelectric current
D Measuring X-ray wavelength
Millikan balanced gravitational weight with electric force on charged drops to find e.
Semiconductor device used for amplification is
A Diode
B Transistor
C Zener diode
D LED
Transistors are used as amplifiers in electronic circuits.
LED stands for
A Light Emission Device
B Light Emitting Diode
C Linear Emitting Diode
D Low Energy Diode
LED = Light Emitting Diode.
Superconductors exhibit
A Zero resistance below critical temperature
B Infinite resistance
C Constant resistance
D No relation with temperature
Superconductors show zero electrical resistance below a critical temperature.
According to Piaget, children in 7–11 years stage are in
A Sensori-motor stage
B Pre-operational stage
C Concrete operational stage
D Formal operational stage
Ages 7–11 correspond to Piaget’s concrete operational stage.
Scaffolding in learning was emphasised by
A Skinner
B Vygotsky
C Thorndike
D Pavlov
Vygotsky emphasised Zone of Proximal Development and scaffolding by more knowledgeable others.
Formative evaluation is done
A At end of year
B Before instruction
C During teaching-learning process
D For certification only
Formative evaluation is carried out during instruction to monitor progress.
Diagnostic test is mainly used to
A Rank students
B Identify learning difficulties
C Award grades
D Give promotion
Diagnostic tests are designed to identify specific learning problems.
Inclusive education mainly aims at
A Separate schools for CWSN
B Integration of all learners in common school
C Only gifted children
D Only urban schools
Inclusive education promotes learning opportunities for all learners in common settings.
“Child-centred education” focuses on
A Full authority of teacher
B Rote memorisation
C Needs, interests, pace of child
D Only syllabus
Child-centred education tailors teaching to the child’s needs, interests and pace.
Continuous and Comprehensive Evaluation reduces
A Examination stress
B Learning
C Classroom interaction
D Feedback
CCE aims to reduce high-stake exam stress by continuous assessment.
ICT in teaching-learning helps in
A Only entertainment
B Enhancing visualisation, interaction & access
C Replacing teacher
D Eliminating textbooks
ICT enhances visualization, interaction and access to resources in education.
“Education for Peace” stresses
A Only discipline
B Values, tolerance, non-violence
C Competition
D Punishment
Education for peace focuses on values like tolerance and non-violence.
Guidance and counselling services in schools should be
A Only for weak students
B Only for higher classes
C For all students as continuous support
D Only when exam comes
Counselling should be continuous and available to all students.
Largest democracy in the world by population is
A USA
B UK
C India
D Brazil
India is the world’s largest democracy by population.
Lok Sabha members are elected for a term of
A 4 years
B 5 years
C 6 years
D 7 years
Lok Sabha term is five years unless dissolved earlier.
Currency of Japan is
A Yen
B Won
C Yuan
D Dollar
Japan’s currency is the Yen.
Headquarter of SAARC is located in
A New Delhi
B Dhaka
C Kathmandu
D Islamabad
SAARC Secretariat is in Kathmandu, Nepal.
First woman Prime Minister of India was
A Indira Gandhi
B Sarojini Naidu
C Pratibha Patil
D Sushma Swaraj
Indira Gandhi was India’s first woman Prime Minister.
World Environment Day is observed on
A 5 June
B 1 May
C 8 March
D 2 October
World Environment Day is celebrated annually on June 5.
The country with largest area in the world is
A China
B Canada
C Russia
D USA
Russia is the largest country by area.
“Discovery of India” was written by
A Mahatma Gandhi
B B. R. Ambedkar
C Jawaharlal Nehru
D Rabindranath Tagore
“The Discovery of India” was written by Jawaharlal Nehru.
Capital of Himachal Pradesh is
A Mandi
B Dharamshala
C Shimla
D Solan
Shimla is the capital of Himachal Pradesh.
Himachal Pradesh became a full-fledged state in
A 1950
B 1956
C 1971
D 1975
Himachal Pradesh became a full state in 1971.
“Dev Bhoomi” is a popular name for
A Punjab
B Himachal Pradesh
C Haryana
D Uttarakhand
Himachal Pradesh is often called “Dev Bhoomi” (Land of the Gods).
Highest peak in Himachal Pradesh is
A Reo Purgyil
B Kinnaur Kailash
C Shrikhand Mahadev
D Dhauladhar
Reo Purgyil is one of the highest peaks in Himachal Pradesh.
River Beas originates from
A Rohtang Pass
B Beas Kund
C Manimahesh
D Renuka Lake
The Beas river originates from Beas Kund in the Himalayas.
Renuka Lake is situated in district
A Kangra
B Sirmaur
C Kullu
D Hamirpur
Renuka Lake is located in Sirmaur district of Himachal Pradesh.
“Minjar Fair” is held at
A Shimla
B Mandi
C Chamba
D Solan
The Minjar Fair is famous in Chamba district.
Which is the largest district of HP (area-wise)
A Mandi
B Kinnaur
C Lahaul & Spiti
D Kangra
Lahaul & Spiti is the largest district by area in Himachal Pradesh.
Find the missing term: 3, 8, 15, 24, 35, ?
A 46
B 48
C 49
D 51
Differences: +5, +7, +9, +11, next +13 ⇒ 35 + 13 = 48.
If a : b = 2 : 3 and b : c = 4 : 5, then a : c is
A 8 : 15
B 2 : 5
C 3 : 5
D 5 : 8
Make b common: a:b = 2:3 = 8:12 and b:c = 4:5 = 12:15 ⇒ a:c = 8:15.
Simple interest on ₹4000 at 10% p.a. for 2 years
A ₹400
B ₹600
C ₹800
D ₹1000
SI = (P×R×T)/100 = 4000×10×2/100 = ₹800.
Compound interest on ₹2000 at 10% p.a. for 2 years (annually compounded)
A ₹200
B ₹400
C ₹420
D ₹440
Amount = 2000(1.1)² = 2420 ⇒ CI = 2420 − 2000 = ₹420.
A train 150 m long crosses a pole in 10 s. Its speed is
A 10 km/h
B 15 km/h
C 36 km/h
D 54 km/h
v = 150/10 = 15 m/s = 15×3.6 = 54 km/h.
The average of 5 numbers is 20. If one number is 30, average of remaining 4 is
A 17.5
B 18
C 20
D 22.5
Sum = 5×20 = 100; remaining sum = 100 − 30 = 70; average = 70/4 = 17.5.
A and B can do a work in 10 days; B alone in 25 days. A alone will do it in
A 15 days
B 16⅔ days
C 20 days
D 30 days
1/10 = 1/A + 1/25 ⇒ 1/A = 1/10 − 1/25 = 3/50 ⇒ A = 50/3 = 16⅔ days.
If P(A)=0.6, P(B)=0.5 and P(A∩B)=0.3, then P(A∪B) is
A 0.5
B 0.7
C 0.8
D 1.1
P(A∪B) = P(A)+P(B)−P(A∩B) = 0.6+0.5−0.3 = 0.8.
Next term in series: 4,9,16,25,?
A 30
B 32
C 36
D 49
Sequence of squares: 2²,3²,4²,5², next 6² = 36.
If in a code, CAT = DBU, then DOG is coded as
A EPH
B EPG
C ENH
D FPH
Each letter shifted +1: D→E, O→P, G→H ⇒ DOG → EPH.
Choose correctly spelt word
A Enviroment
B Environment
C Enviromment
D Envirenment
“Environment” is the correct spelling.
Correct passive voice: “The teacher praised the student.”
A The student is praising the teacher.
B The student was praising the teacher.
C The student was praised by the teacher.
D The teacher is praised by the student.
Passive: The student was praised by the teacher.
Choose the correct preposition: “He is good ___ Mathematics.”
A in
B at
C on
D about
Correct usage: good at Mathematics.
Correct tense form: “By next month, he ____ the project.”
A completes
B has completed
C will have completed
D had completed
Future perfect tense: will have completed.
Synonym of “rapid”
A slow
B quick
C dull
D slight
“Quick” is a synonym of “rapid”.
Antonym of “victory”
A fight
B loss
C defeat
D attack
“Defeat” is an antonym of “victory”.
One-word for “a life story written by oneself”
A Biography
B Autobiography
C Diary
D Novel
Autobiography = life story written by oneself.
Correct sentence
A He did not came yesterday.
B He did not come yesterday.
C He does not came yesterday.
D He does came yesterday.
Correct: He did not come yesterday.
“विद्यालय” शब्द का विलोम है
A गुरुकुल
B घर
C अविद्यालय
D कोई प्रचलित विलोम नहीं
“विद्यालय” के लिये कोई प्रचलित विलोम नहीं है।
“कर्म” का सही संधि-विच्छेद है
A क् + अरम
B कु + अरम
C कर् + म
D संधि-विच्छेद नहीं होता
“कर्म” मूल शब्द है, संधि नहीं।
“पुस्तकें मेज पर रखी हैं।” वाक्य में “मेज” है
A सर्वनाम
B क्रिया
C संज्ञा
D विशेषण
“मेज” एक संज्ञा (noun) है।
“जल + जीवन” से बना समासिक शब्द है
A जलजीवन
B जल-जीवन
C जलजीव
D जीवनजल
“जलजीवन” समासिक रूप है जो “जल + जीवन” से बना है।
“मैंने उसे बहुत समझाया” वाक्य में “बहुत” है
A क्रिया
B क्रिया विशेषण
C सर्वनाम
D अव्यय नहीं
“बहुत” यहाँ क्रिया विशेषण (adverb) है।
“कहीं” शब्द किस प्रकार का अव्यय है
A संबंधबोधक
B समुच्चयबोधक
C निपात
D क्रियाविशेषण
“कहीं” क्रियाविशेषण (adverb) है।
Device used to measure blood pressure is
A Stethoscope
B Thermometer
C Sphygmomanometer
D Hygrometer
Sphygmomanometer is used to measure blood pressure.
Which vitamin is produced in human skin by sunlight
A Vitamin A
B Vitamin B₁₂
C Vitamin C
D Vitamin D
Vitamin D is synthesized in human skin on exposure to UV light.
Noble gases are placed in group
A 14
B 15
C 17
D 18
Noble gases occupy Group 18 of the periodic table.
The layer of atmosphere used for radio transmission is
A Troposphere
B Stratosphere
C Ionosphere
D Mesosphere
Radio waves are reflected/refracted by the ionosphere for long-distance transmission.
The organ that secretes insulin is
A Liver
B Pancreas
C Kidney
D Lung
Insulin is secreted by the β-cells of the pancreas.
“Panchayati Raj” was first introduced in which state
A Uttar Pradesh
B Rajasthan
C Bihar
D Karnataka
Panchayati Raj institutions were first implemented in Rajasthan.
Fundamental Rights are enshrined in which part of Indian Constitution
A Part I
B Part II
C Part III
D Part IV
Fundamental Rights are contained in Part III of the Constitution.
Earth completes one rotation about its axis in
A 24 hours
B 365 days
C 30 days
D 12 hours
Earth rotates once approximately every 24 hours (one day).
The main occupation of people in rural India is
A Industry
B Mining
C Agriculture
D IT services
Agriculture is the predominant occupation in rural India.
“Mixed economy” means
A Only private sector
B Only public sector
C No regulation
D Co-existence of public and private sectors
A mixed economy features both public and private sectors co-existing.