tgt test series 6

0.25 mole of gas occupies 6.15 L at STP. Molar volume of gas at STP is approximately

An aqueous solution contains 9.8 g of H₂SO₄ in 1 L solution. Approximate molarity is (M(H₂SO₄)=98 g/mol)

The mass of 6.022×10²³ atoms of calcium is about (Ar = 40)

For hydrogen atom, ratio of radii of second Bohr orbit to first orbit is

Correct order of ionization enthalpy:

The shape of methane molecule (CH₄) according to VSEPR theory is

In which pair are both species isoelectronic?

For reaction aA + bB ⇌ cC + dD, equilibrium constant in terms of concentration is

pH of 1×10⁻³ M HCl at 25°C is approximately

A solution has [H⁺] = 4×10⁻⁵ M. pH is closest to

In electrolysis of molten NaCl, product at cathode is

Standard electrode potential of Zn²⁺/Zn is −0.76 V and Cu²⁺/Cu is +0.34 V. E°cell of Zn–Cu cell (Zn|Zn²⁺||Cu²⁺|Cu) is

For a first-order reaction, time required to decrease from 0.1 M to 0.025 M is 40 min. Half-life is

In an elementary reaction A + 2B → products, rate law is

When a solid is dissolved in liquid, solubility generally increases with rise in temperature if

For solution of glucose in water, van’t Hoff factor (i) is

Which compound will show hydrogen bonding in liquid state?

Example of a non-ideal solution with negative deviation from Raoult’s law is

IUPAC name of CH₃–CH₂–CO–CH₃ is

Which will show geometrical isomerism?

Order of reactivity towards SN1 reaction:

Phenol with bromine water gives mainly

When ethanol is oxidised with alkaline KMnO₄, major product is

Aldehydes show nucleophilic addition reactions mainly because

Which can be both oxidised and reduced in suitable reactions?

Oxidation number of S in H₂SO₄ is

The transition element with configuration [Ar] 3d⁵ 4s¹ is

Colour of CuSO₄·5H₂O is due to

18-electron rule is best obeyed by

The complex [Co(NH₃)₆]Cl₃ is

Which is a greenhouse gas?

Photochemical smog mainly occurs in

Biomagnification is

Drug which reduces pain without causing unconsciousness is

Aspirin is

Soap works as cleansing agent because

In DNA, complementary base pairing is

Which is a thermoplastic?

PVC is obtained from

In nuclear fission of ²³⁵U, the energy released is of order

A radioactive sample has half-life 2 hours. Fraction remaining after 6 hours is

Green chemistry does not encourage

Which gas causes ‘minamata’ type disease when its compounds enter food chain?

In periodic table, metalloid among these is

Which pair is correctly matched?

Sum of first n natural numbers is

Sum of first 20 terms of AP with a=5, d=3 is

The 8th term of GP with a=2, r=3 is

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

Discriminant of 3x²−2x+1=0 is

General solution of cos x = 1/2 is

If tan A = 3/4, then sec A equals

Equation of line passing through (1,2) with slope 3 is

Distance between points (−1,2) and (3,5) is

If A = (2 1 \\ 0 3), then det(A) is

Inverse of A exists if and only if

For random variable X with P(X=1)=0.4, P(X=2)=0.6, E(X) is

Variance of constant random variable (always c) is

If z₁=3+4i, its modulus is

Argument of (−1 + i) is

∫(3×2+4x) dx equals

∫_0^2 x dx equals

Derivative of ln(x²+1) is

If y = e^{3x}, then d²y/dx² equals

For function f(x)=x³, at x=0

Radius of circle x² + y² − 4x + 6y − 12 = 0 is

Eccentricity of ellipse x²/9 + y²/4 = 1 is

Vector a=(1,2,3), b=(2,−1,4). Dot product a·b is

For any vector a, a×a equals

If a and b are non-zero vectors with a·b=0, then they are

A non-empty set V with two operations is a group if

A ring in which every non-zero element has a multiplicative inverse is

Let T: V→V be a linear map on finite-dimensional space. If T is one–one, then

Sum of eigenvalues of a square matrix equals

Cauchy–Riemann conditions in polar form involve

Sequence aₙ = 1/n converges to

Infinite series ∑_{n=1}^{∞} 1/n is

Newton–Raphson iteration formula for f(x)=x³−a is

Trapezoidal rule for ∫_a^b f(x) dx with n subintervals is

In LPP, feasible region is convex polygon because

For scalar field φ(x,y,z), gradient ∇φ is

Divergence of constant vector field is

If X is binomial(n,p), then mean and variance are

Correlation coefficient r lies between

If standard deviation is 0, then coefficient of variation is

Mean of numbers 2,4,6,8,10 is

If A and B are independent events with P(A)=0.4, P(B)=0.5, then P(A∩B) is

Bayes’ theorem is mainly used to

In 3D, equation of plane passing through origin and normal vector (1,2,3) is

Angle between vectors a and b can be found using

If f(x,y) has continuous partial derivatives, ∂²f/∂x∂y equals ∂²f/∂y∂x due to

Jacobian of transformation from (x,y) to (u,v) is

Finite differences: Δy = y_{x+h} − y_x corresponds to

For simple graph of straight line, trapezoidal rule is

In linear programming, a feasible solution that optimises objective function is called

A body moves with uniform acceleration 2 m/s² from rest. Its velocity after 5 s is

A force of 10 N acts on mass 2 kg. Acceleration is

Work done in lifting 10 kg mass through 2 m (g=9.8≈10 m/s²) is

Kinetic energy of 5 kg body moving at 4 m/s is

Dimension of momentum is

Centre of mass of two equal masses at x=0 and x=a lies at

Rotational kinetic energy of rigid body is

Escape velocity from a planet of mass M and radius R is proportional to

In elastic collision, which is conserved?

Specific heat at constant pressure (Cp) of gas is always

Second law of thermodynamics introduces concept of

Velocity of sound in ideal gas is proportional to

For wave y = 0.02 sin(4πt − 2πx), SI units, frequency is

In SHM, a = −ω²x shows that

For closed organ pipe of length L, fundamental frequency is

Principle of superposition is applicable to

Coulomb’s law force between two charges q₁ and q₂ separated by r in vacuum is proportional to

Electric field inside a conductor in electrostatic equilibrium is

Capacitance of parallel-plate capacitor is doubled if

Two resistors 4 Ω and 6 Ω in series across 10 V. Current is

In series combination of resistors, equivalent resistance is

Magnetic field at centre of long straight current-carrying conductor is

Faraday’s law of EMI states induced emf equals

Lenz’s law gives direction such that

At resonance in series LCR circuit, power factor is

Electromagnetic waves are

Speed of EM waves in vacuum is

Refractive index μ = c/v relates to

Power of convex lens of focal length 0.2 m is

Condition for total internal reflection:

Interference fringes are due to

In photoelectric effect, stopping potential depends on

Threshold frequency is

De Broglie wavelength of particle of momentum p is

Uncertainty principle relates

In n-type semiconductor, Fermi level lies

A p–n junction under forward bias has

Rectifier converts

Logic gate which gives output 1 only when all inputs 1 is

Majority carriers in p-type semiconductor are

Binding energy per nucleon is maximum for nuclei in region of

In fission, heavy nucleus splits into

Elementary particles with integer spin are called

Quarks carry

Superconductors have

“Child is an active constructor of knowledge” is central idea of

In inclusive classroom, CWSN stands for

Continuous and Comprehensive Evaluation lays emphasis on

Best method to diagnose misconceptions in Mathematics is

“Learning by doing” approach was strongly supported by

Criterion-referenced tests are used mainly to

In “Assessment for Learning”, primary focus is on

“Language Across Curriculum” implies

Guidance and counselling in schools aim to

In constructivist classroom, evaluation should be

“Digital Personal Data Protection Act” of India received President’s assent in

National Education Policy (NEP) was approved in

Which river is called “Dakshin Ganga”?

“Vande Bharat” trains are mainly related to

Presidency of G20 Summit hosted by India was in

“NITI Aayog” replaced Planning Commission in

Headquarters of International Solar Alliance (ISA) is in

Deepavali (Diwali) was recently inscribed on UNESCO’s list of Intangible Cultural Heritage in

As per Himachal Pradesh Budget 2024–25, revenue deficit is estimated at around what percent of GSDP?

Fiscal deficit of Himachal Pradesh in 2024–25 is targeted at about

Budget 2025–26 of Himachal Pradesh is proposed at roughly

In HP Budget 2025–26, estimated per capita income at current prices is about

Himachal Pradesh Government’s “Him Bhog Atta” initiative is related to

Himachal Pradesh has launched electric taxi subsidy programme mainly to

Dehra–Gopipur bridge, for which HP High Court recently ordered urgent maintenance using audit funds, is on river

The convocation of Dr Y. S. Parmar University of Horticulture & Forestry (Nauni) where Governor highlighted natural farming and high-value crops, was which edition?

HP CM Sukhvinder Singh Sukhu has repeatedly stated aim to make state financially self-reliant by about

Structural pattern of HP’s economy shows highest share in GSDP from

Diwali’s inclusion in UNESCO Intangible Cultural Heritage list was announced during which committee session hosted by India for the first time?

The 44th India International Trade Fair (IITF-2025) at Bharat Mandapam, Pragati Maidan, had which theme?

Angola recently joined which India-led global initiatives? International Solar Alliance (ISA) Global Biofuels Alliance (GBA) International Big Cat Alliance (IBCA) Select correct answer:

Many November 2025 current-affairs compilations highlight which major cultural festival in India as key observance that month?

In recent global climate diplomacy, 2025 UN Climate Change Conference (COP) is scheduled in

The “Most Important Current Affairs of November 2025” highlight new Indian policies emphasising

2025 compilations on “Summits Current Affairs” are primarily useful for aspirants of

Himachal Pradesh Government’s launch of multiple welfare schemes in December 2024 included

Which international body releases “World Economic Outlook” frequently cited in 2025 economic current affairs?

“Global Biofuels Alliance (GBA)”, featured in 2025 current affairs, is a platform particularly emphasised by

The UN session marking 20 years of International Convention against Doping in Sport in 2025 was linked to global commitment towards

According to several 2025 current affairs digests, which sector remains a major focus area for new Indian schemes:

A mixture has milk:water = 3:1 and volume 24 L. Milk quantity is

If SP = ₹600, profit = 20%. Cost price is

Simple interest on ₹5000 at 8% per annum for 3 years is

If P(A)=0.7, P(B)=0.5 and A,B independent, then P(A∪B) is

Next term in series: 2, 5, 10, 17, 26, ?

If in a certain code, HILL is written as IGMM, then TREE is coded as

Choose the correct option: “Neither the students nor the teacher _____ happy with the noise.”

Correct indirect speech: He said, “I am preparing for the TGT exam.”

Choose the correct article: “He is _____ honest man.”

Antonym of “compulsory” is

Suitable one-word for “a person who speaks many languages”

“बाल + मित्र” का समासिक रूप है

“हीरा” शब्द का विलोम है

वाक्य में अशुद्धि पहचानिए – “उसने मुझसे कहा कि मैं कल आएगा।”

“जल्दी-जल्दी” किस प्रकार का शब्द है?

Blood group which is universal donor is

Acid present in vinegar is

“Right to Constitutional Remedies” is mentioned in Article

Tropic of Cancer passes through which Indian state?

Main objective of “Sarva Shiksha Abhiyan (SSA)” was