tgt test series 3

The slope of a displacement–time graph gives

A Acceleration
B Velocity
C Jerk
D Force

A body moves in a circle with constant speed, then

A Velocity is constant
B Acceleration is zero
C Only direction changes
D Kinetic energy is zero

The work done by a conservative force around a closed path is

A Maximum
B Minimum
C Zero
D Infinite

Dimension of force is

A MLT⁻²
B ML²T⁻²
C MLT⁻¹
D M⁰L²T⁻¹

In free fall near Earth, the acceleration is approximately

A 9.8 m s⁻² upward
B 9.8 m s⁻² downward
C 0 m s⁻²
D 98 m s⁻² downward

In an elastic spring, potential energy is stored in the form of

A Electric energy
B Magnetic energy
C Strain energy
D Light energy

A body of mass m moving with speed v has momentum

A v/m
B mv
C mv²
D m²v

A perfectly rigid body is a

A Practical concept
B Theoretical concept
C Real object
D Fluid

Pressure in a fluid at rest depends on

A Shape of container
B Depth only
C Surface area
D Angle of walls

Pascal’s law is applicable to

A Gases only
B Liquids only
C Both fluids
D Solids only

Temperature at which a substance melts is its

A Boiling point
B Melting point
C Critical point
D Triple point

First law of thermodynamics is a statement of conservation of

A Mass
B Momentum
C Energy
D Entropy

A system which can exchange neither mass nor energy with surroundings is

A Open system
B Closed system
C Isolated system
D Adiabatic system

The degree of randomness of a system is measured by

A Enthalpy
B Entropy
C Temperature
D Volume

The speed of sound in a gas is proportional to

A √Temperature
B Temperature
C 1/Temperature
D 1/√Temperature

The SI unit of surface tension is

A N m
B N m⁻¹
C N m⁻²
D Nm²

In SHM, kinetic energy is maximum when displacement is

A Maximum
B Minimum
C Zero
D Infinite

Resonance occurs when

A Damping is zero
B Driving frequency equals natural frequency
C Mass is maximum
D Force is zero

The total mechanical energy in SHM remains

A Zero
B Increasing
C Constant
D Decreasing

Coulomb’s law gives force between

A Two masses
B Two charges
C Two currents
D Two magnets

Electric field inside a conductor in electrostatic equilibrium is

A Maximum
B Zero
C Constant nonzero
D Infinite

The charge on an electron is approximately

A 1.6 × 10⁻¹⁹ C
B 1.6 × 10⁻¹⁶ C
C 1.6 × 10⁻¹⁸ C
D 1.6 × 10⁻²⁰ C

The unit of electric potential is

A Ampere
B Volt
C Coulomb
D Ohm

Ohm’s law relates

A V, I, R
B P, V, n
C F, m, a
D Q, W, t

A wire is stretched and its resistance becomes four times, its length is

A Same
B Doubled
C Four times
D Half

SI unit of magnetic field induction is

A Weber
B Tesla
C Henry
D Joule

Force on a current carrying conductor in a magnetic field is

A qvB
B BIL sinθ
C mv²/r
D qE

The device based on electromagnetic induction is

A Thermometer
B Transformer
C Hygrometer
D Radiometer

Lenz’s law gives direction of

A Electric field
B Induced current
C Magnetic field
D Charge

Frequency of AC used in India power supply is approximately

A 25 Hz
B 50 Hz
C 60 Hz
D 100 Hz

Light of single wavelength is called

A Polychromatic
B Monochromatic
C White light
D Diffused light

Focal length of a mirror is half its

A Diameter
B Radius of curvature
C Height
D Thickness

Power of a lens is measured in

A Joule
B Dioptre
C Tesla
D Gauss

Interference of light supports its

A Particle nature
B Wave nature
C Dual nature
D Corpuscular nature only

Polarisation of light is possible only for

A Longitudinal waves
B Transverse waves
C Both types of waves
D Stationary waves

De Broglie wavelength is associated with

A Only photons
B Only electrons
C Matter particles and radiation
D Only protons

The ground state energy of hydrogen atom is

A –13.6 eV
B –3.4 eV
C –1.5 eV
D –0.85 eV

X-rays are of nature

A Particles
B Sound
C Electromagnetic waves
D Nuclear fragments

Half life of a radioactive substance is the time in which

A All atoms decay
B Activity becomes zero
C Half nuclei decay
D Mass becomes zero

A semiconductor device used as an amplifier is

A Diode
B Transistor
C Resistor
D Inductor

A zener diode is specially designed to work in

A Forward region
B Reverse breakdown region
C Cutoff region
D Saturation region

Logic gate that outputs 1 only when both inputs are 1 is

A OR
B AND
C NOT
D NOR

A crystal lattice is characterized by

A Lattice points
B Random atoms
C Molecule clusters
D Amorphous structure

The phenomenon of losing superconductivity when magnetic field is applied is

A Ferromagnetism
B Meissner effect
C Diamagnetism
D Hysteresis

Fermi energy refers to

A Lowest energy level
B Highest occupied level at 0 K
C Middle of band gap always
D Any conduction band level

The number of moles in 22 g of CO₂ is

A 0.5 mol
B 1 mol
C 2 mol
D 11 mol

Avogadro number is approximately

A 3.02 × 10²³
B 6.02 × 10²³
C 9.02 × 10²³
D 6.02 × 10²²

The shape of methane molecule is

A Linear
B Trigonal planar
C Tetrahedral
D Square planar

Which orbital can hold at most 10 electrons

A s
B p
C d
D f

Isotopes are atoms with same

A Mass number
B Atomic number
C Neutron number
D Size

The ideal gas equation is

A PV = nRT
B P/V = nRT
C PT = nR
D PV = RT

When liquid changes into vapour it is

A Freezing
B Condensation
C Evaporation
D Sublimation

The process of solid directly turning into gas is

A Fusion
B Vaporization
C Sublimation
D Precipitation

Which has strongest hydrogen bonding

A HCl
B HF
C HBr
D HI

pH less than 7 indicates

A Neutral solution
B Acidic solution
C Basic solution
D Salt solution always

Which is a diprotic acid

A HCl
B H₂SO₄
C H₃PO₄
D HNO₃

Electrolytic cell converts

A Electrical energy to chemical energy
B Chemical energy to electrical energy
C Heat to work
D Light to chemical

A catalyst increases rate of reaction by

A Increasing temperature
B Increasing activation energy
C Decreasing activation energy
D Changing equilibrium constant

Half life of first order reaction depends on

A Initial concentration
B Final concentration
C Rate constant only
D Temperature only

Example of homogeneous catalysis

A Hydrogenation of oil
B Ostwald process for HNO₃
C Hydrolysis of ester by acid
D Contact process

Among CH₄, NH₃, H₂O, HF, maximum boiling point is for

A CH₄
B NH₃
C H₂O
D HF

The most metallic element in a period is towards

A Left
B Right
C Middle
D Anywhere

Main ore of aluminium is

A Hematite
B Bauxite
C Galena
D Cinnabar

The process of heating ore in absence of air is

A Roasting
B Calcination
C Smelting
D Refining

Coordination number of central metal is

A Number of ligands
B Number of bonds with ligands
C Oxidation state
D Atomic number

EDTA is a

A Monodentate ligand
B Bidentate ligand
C Hexadentate ligand
D Ambidentate ligand

The IUPAC name of CH₃CH₂OH is

A Methyl alcohol
B Ethyl alcohol
C Ethanol
D Dimethyl alcohol

The reaction of alkyl halide with KCN gives

A Alcohol
B Ether
C Nitrile
D Aldehyde

The reagent used for bromination of benzene is

A Br₂ in CCl₄
B Br₂ with FeBr₃
C Br₂ in water
D NaBr solution

Tertiary alcohol on oxidation generally gives

A Aldehyde
B Ketone
C Carboxylic acid
D No reaction under mild conditions

Example of nucleophilic addition reaction

A Addition of HBr to alkene
B Bromination of benzene
C Addition of HCN to aldehyde
D Chlorination of alkane

The pair of enantiomers shows

A Same optical rotation
B Equal and opposite rotation
C No optical rotation
D Random rotation

Carbohydrates that cannot be hydrolysed further are

A Monosaccharides
B Disaccharides
C Polysaccharides
D Oligosaccharides

Proteins are polymers of

A Nucleotides
B Amino acids
C Fatty acids
D Sugars

DNA stands for

A Deoxy nucleic acid
B Deoxyribonucleic acid
C Dinitro acid
D Double nucleic acid

Example of thermosetting polymer

A Polythene
B Bakelite
C PVC
D Nylon

The colligative property used for molar mass determination of polymer is

A Osmotic pressure
B Vapour pressure
C Surface tension
D Viscosity

Green chemistry means

A Chemistry of plants
B Pollution prevention by design
C Colour chemistry
D Agricultural chemistry only

Smog is a mixture of

A Smoke and rain
B Smoke and fog
C Fog and dust
D Smoke and ice

The main component of LPG is

A Methane
B Ethane
C Propane and butane
D Pentane

Hardness of water is commonly expressed in terms of

A NaCl
B CaCO₃
C MgSO₄
D CaSO₄

The most abundant noble gas in atmosphere is

A Helium
B Neon
C Argon
D Xenon

Ozone is mainly found in

A Troposphere
B Stratosphere
C Mesosphere
D Thermosphere

Bleaching powder chemically is

A CaOCl₂
B CaCl₂
C CaCO₃
D Ca(OH)₂

The oxidation number of S in H₂SO₄ is

A +2
B +4
C +6
D 0

In redox reaction, oxidising agent is the species which

A Loses electrons
B Gains electrons
C Gains protons only
D Remains unchanged

Example of strong base

A NH₄OH
B NaOH
C CH₃COOH
D H₂CO₃

The conjugate base of H₂O is

A H₃O⁺
B OH⁻
C H⁺
D O²⁻

A solution which resists change in pH is

A Neutral solution
B Buffer solution
C Saturated solution
D Dilute solution

The energy minimum in reaction coordinate diagram corresponds to

A Reactants
B Products
C Transition state
D Activated complex

If f(x) = x³ then f′(x) is

A 3x²
B
C 3x
D

The derivative of cos x is

A sin x
B −sin x
C cos x
D −cos x

The integral ∫ x² dx equals

A
B x³/3
C 3x²
D x²/2

A function is continuous at x = a if

A Left limit = right limit = f(a)
B Limit exists but not equal to f(a)
C Only left limit exists
D Only right limit exists

∫ 0 to 1 of 1 dx is

A 0
B 1
C 2
D 1/2

The slope of line 2x − 3y + 6 = 0 is

A 2/3
B −2/3
C 3/2
D −3/2

The discriminant of ax² + bx + c = 0 is

A
B 4ac
C b² − 4ac
D b² + 4ac

Sum of first n natural numbers is

A
B n(n+1)/2
C n(n−1)/2
D 2n

The series 3, 6, 9, 12 is an

A AP with d = 3
B AP with d = 2
C GP with r = 2
D GP with r = 3

If a, b, c are in GP then

A b² = ac
B a² = bc
C c² = ab
D ab = bc

If A is 3×3 identity, then |A| is

A 0
B 1
C 3
D 9

For a 2×2 matrix [[a,b],[c,d]] determinant is

A ad+bc
B ad−bc
C ab−cd
D ab+cd

A matrix A is invertible if and only if

A |A| = 0
B |A| ≠ 0
C A is symmetric
D A is diagonal

If a vector has magnitude zero then it is

A Unit vector
B Null vector
C Position vector
D Equal vector

Dot product of perpendicular vectors is

A 1
B −1
C 0
D Same as magnitude

The gradient of a scalar function gives

A Scalar field
B Vector field
C Matrix
D Constant

Divergence of a solenoidal vector field is

A Zero
B One
C Constant nonzero
D Infinite

The function f(z) = z² is analytic

A Nowhere
B Only at origin
C Everywhere in complex plane
D Only on real axis

The Cauchy Riemann equations are conditions for

A Differentiability of real functions
B Analyticity of complex functions
C Continuity of complex functions
D Periodicity

Order of differential equation d³y/dx³ + y = 0 is

A 0
B 1
C 2
D 3

Degree of (d²y/dx²)² + (dy/dx)³ = 0 is

A 1
B 2
C 3
D 4

A solution valid for all values of x containing as many arbitrary constants as order is

A Particular solution
B Singular solution
C General solution
D Trivial solution

The improper integral ∫ 1/x from −1 to 1 is

A 0
B Divergent
C 1
D −1

The radius of convergence of power series depends on

A Coefficients of series
B Limits of integration
C Order of DE
D Degree of polynomial

The method to find root by repeatedly halving interval is

A Newton method
B Secant method
C Bisection method
D Regula falsi

Newton Raphson method uses

A Function only
B Derivative only
C Both function and derivative
D Only interval endpoints

Trapezoidal rule is used for

A Solving equations
B Numerical integration
C Differentiation
D Interpolation

If a straight line has equation x = 3 then its slope is

A 0
B
C 1
D −1

The equation x² + y² − 4x − 6y + 9 = 0 represents

A Parabola
B Ellipse
C Circle
D Straight line

The eccentricity of a circle is

A 0
B 1
C Between 0 and 1
D Greater than 1

A random variable with only two outcomes is called

A Normal variable
B Binomial variable
C Poisson variable
D Uniform variable

Mean of numbers 2, 4, 6, 8 is

A 4
B 5
C 6
D 7

Variance is always

A Negative
B Zero or positive
C Zero only
D Fraction only

If P(A) = 0.4 and P(B) = 0.3 for mutually exclusive events then P(A ∪ B) is

A 0.1
B 0.7
C 0.12
D 0.4

If two fair coins are tossed, probability of exactly one head is

A 1/4
B 1/2
C 3/4
D 1

If vector a and b are parallel, then a × b is

A Zero vector
B Unit vector
C Maximum
D Undefined

Curl of gradient of any scalar field is

A Zero
B One
C Constant
D Infinite

If |z| = 1 then point lies on

A Real axis
B Imaginary axis
C Unit circle
D x axis

Complex conjugate of a+ib is

A a+ib
B a−ib
C −a+ib
D −a−ib

If lim x→0 (sin 2x / 2x) equals

A 0
B 1
C 2
D 1/2

A function f is one to one if

A Different inputs give same output
B Same inputs give different outputs
C Different inputs give different outputs
D Output is constant

Cardinality of set of even natural numbers is

A Finite
B Countably infinite
C Uncountable
D Zero

If A is skew symmetric then diagonal elements are

A Positive
B Negative
C All 1
D Zero

Eigenvectors corresponding to distinct eigenvalues of symmetric matrix are

A Parallel
B Orthogonal
C Equal
D Zero

The rank of zero matrix is

A 0
B 1
C n
D Undefined

A differential equation with solution y = Ceˣ is likely

A dy/dx = y
B dy/dx = x
C dy/dx = 1
D dy/dx = y²

A cubic polynomial can have at most

A One real root
B Two real roots
C Three real roots
D Four real roots

If α, β are roots of x² − 5x + 6 = 0 then α+β is

A 5
B 6
C 1
D 11

Real part of complex number 3−4i is

A 3
B −4
C 5
D 1

The integral of 0 to π of sin x dx is

A 0
B 2
C −2
D π

According to Piaget, the concrete operational stage is roughly

A 0–2 years
B 2–7 years
C 7–11 years
D 12–18 years

Inclusive education mainly focuses on

A Only bright students
B Only disabled students
C All learners together
D Only slow learners

Continuous and comprehensive evaluation emphasises

A Only annual exam
B Single unit test
C All round development
D Only homework

Formative evaluation is done

A At the end of course
B During teaching
C Before admission
D Only in board exam

Himachal Pradesh was made a full-fledged state by

A 14th Amendment
B 36th Amendment
C 42nd Amendment
D 44th Amendment

Yashwant Singh Parmar is remembered as

A First Governor of HP
B First Chief Minister of HP
C First President of India
D First Education Minister of HP

The river Beas originates from

A Rohtang region
B Kangra valley
C Shimla hills
D Shivalik range

The literacy rate is measured as percentage of

A Literate children
B Literate population above a set age
C Only male literacy
D Only rural literacy

Article 21 of Indian Constitution deals with

A Right to equality
B Right to freedom of speech
C Right to life and personal liberty
D Right against exploitation

Parliament of India consists of

A Lok Sabha and President
B Rajya Sabha and President
C Lok Sabha and Rajya Sabha
D President, Lok Sabha and Rajya Sabha

Fundamental duties were added by

A 42nd Amendment
B 44th Amendment
C 52nd Amendment
D 61st Amendment

Planning Commission in India has now been replaced by

A Finance Commission
B NITI Aayog
C UPSC
D RBI

The largest continent of the world is

A Africa
B Asia
C Europe
D North America

Which layer of atmosphere is closest to Earth surface

A Troposphere
B Stratosphere
C Mesosphere
D Thermosphere

Natural satellite of Earth is

A Moon
B Mars
C Venus
D Jupiter

Which vitamin is produced in the skin by sunlight

A Vitamin A
B Vitamin B₁₂
C Vitamin C
D Vitamin D

Photosynthesis occurs in plant cell organelle

A Mitochondria
B Chloroplast
C Nucleus
D Ribosome

The smallest unit of life is

A Organ
B Tissue
C Cell
D Organ system

Everyday use of soap in hard water forms

A More lather
B Scum
C Acidic solution
D Basic solution only

Which gas is called laughing gas

A CO₂
B N₂O
C NO₂
D SO₂

The part of computer that does calculations is

A Monitor
B Mouse
C CPU
D Printer

Which device is used to project computer screen to large audience

A Printer
B Scanner
C Projector
D Modem

In reasoning, a series 5, 10, 20, 40, ? will have next term

A 50
B 60
C 80
D 100

Find odd one out

A Square
B Rectangle
C Triangle
D Parallelogram

If SOUTH is written as 47329 and EAST as 1539 then SEAT corresponds to

A 4139
B 4539
C 1739
D 1534

Father’s age is twice that of son, if son is 15 years then father is

A 25
B 30
C 45
D 60

Opposite of “Silent” in English is

A Quiet
B Noisy
C Calm
D Slow

Synonym of “Begin” is

A End
B Start
C Stop
D Quit

Correct spelling is

A Acommodate
B Accommodate
C Accomodate
D Acommmodate

In the sentence “He has been working hard” the tense used is

A Present simple
B Present continuous
C Present perfect continuous
D Past perfect

Antonym of Hindi word “दयालु”

A कंजूस
B निर्दयी
C सज्जन
D सरल

पर्यायवाची शब्द “भूमि” का है

A जल
B आकाश
C धरती
D पर्वत

“नाम” का विलोम है

A बदनाम
B प्रसिद्ध
C विख्यात
D मान

भूकंप मापने का यंत्र है

A बैरोमीटर
B सिस्मोग्राफ
C थर्मामीटर
D स्पीडोमीटर

World Environment Day is celebrated on

A 5 March
B 5 June
C 15 August
D 1 May

Green revolution is related to

A Fish production
B Milk production
C Food grain production
D Oil production

The main occupation in rural areas of India is

A Industry
B Agriculture
C Mining
D IT services

Panchayati Raj system is related to

A Urban governance
B Rural self government
C Judiciary
D Police administration

The national anthem “Jana Gana Mana” was composed by

A Bankim Chandra Chattopadhyay
B Rabindranath Tagore
C Mahatma Gandhi
D Subhas Chandra Bose

“Chipko Movement” was mainly about

A Child education
B Saving trees
C Cattle protection
D Labour rights

The currency of Japan is

A Yen
B Dollar
C Euro
D Pound

Which is an example of renewable resource

A Coal
B Petroleum
C Wind
D Natural gas

Road safety rule for pedestrians is

A Walk in middle of road
B Ignore signals
C Use zebra crossing
D Walk with closed eyes

Main source of drinking water in most villages

A Sea
B Lakes
C Wells and handpumps
D Ice

Which of the following is not a browser

A Chrome
B Firefox
C PowerPoint
D Edge

Teaching is most effective when it is

A Teacher centred
B Learner centred
C Text centred
D Exam centred

In classroom, discipline should be maintained by

A Fear and punishment
B Mutual respect
C Humiliation
D Bias

A good question paper should be

A Lengthy only
B Full of tricky items
C Valid and reliable
D Without instructions

Mid day meal scheme in schools primarily aims at

A Free uniforms
B Free transport
C Nutritional support and enrolment
D Free books only

Child labour is legally prohibited below the age of

A 10 years
B 14 years
C 16 years
D 18 years

Nati dance is mostly performed during

A Harvest festivals
B Holi only
C Independence Day
D Sports day

In HP, Lahaul-Spiti region is famous for

A Tea gardens
B Apple orchards
C Cold desert landscape
D Large rivers

The official language of Himachal Pradesh is

A Punjabi
B Hindi
C English
D Dogri

First Indian woman Prime Minister was

A Sarojini Naidu
B Indira Gandhi
C Pratibha Patil
D Sonia Gandhi

In social science, secularism means

A Rule of one religion
B Equal respect to all religions
C No religion in society
D State religion compulsory

Population density means

A Total population of world
B Population per unit area
C Population per family
D Population per village

Major cause of soil erosion is

A Afforestation
B Overgrazing and deforestation
C Terrace farming
D Contour ploughing

On Indian map, Tropic of Cancer passes through

A Only South India
B Only North India
C Middle part of India
D Does not pass India

One of the main aims of education according to National Policy is

A Only job training
B All round development of personality
C Only exam preparation
D Only discipline

In teaching learning process feedback helps to

A Punish learners
B Stop learning
C Improve performance
D Reduce syllabus

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