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2025 · 28 Jan · Shift 1

75 questions · JEE Main

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2025 · 28 Jan · Shift 1

2025 · 28 Jan · Shift 1

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

Periodic Table and PeriodicityChemistry · 2 questions SolutionsChemistry · 1 questions BiomoleculesChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions Haloalkanes and HaloarenesChemistry · 2 questions Structure of AtomChemistry · 1 questions Redox ReactionsChemistry · 3 questions D and F Block ElementsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions ThermodynamicsChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 2 questions ElectrochemistryChemistry · 1 questions 3D GeometryMathematics · 2 questions FunctionsMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Sets and RelationsMathematics · 1 questions Sequences and SeriesMathematics · 2 questions Inverse Trigonometric FunctionsMathematics · 1 questions Definite IntegrationMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions ProbabilityMathematics · 2 questions ParabolaMathematics · 1 questions Differential EquationsMathematics · 1 questions Application of DerivativesMathematics · 1 questions CircleMathematics · 1 questions Complex NumbersMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Binomial TheoremMathematics · 1 questions EllipseMathematics · 1 questions Vector AlgebraMathematics · 1 questions Work Power and EnergyPhysics · 2 questions WavesPhysics · 1 questions Properties of MatterPhysics · 3 questions Center of MassPhysics · 1 questions Current ElectricityPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions MagneticsPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions ElectrostaticsPhysics · 2 questions Heat and ThermodynamicsPhysics · 2 questions CapacitorPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Electronic DevicesPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Rotational MotionPhysics · 2 questions Units and MeasurementsPhysics · 1 questions Wave OpticsPhysics · 1 questions

Q1.The incorrect decreasing order of atomic radii is
Chemistry · Periodic Table and Periodicity · MCQ
Q2.What is the freezing point depression constant of a solvent, 50 g of which contain 1 g non volatile solute (molar mass $256 g mol^{- 1}$ ) and the decrease in freezing point is 0.40 K ?
Chemistry · Solutions · MCQ
Q3.Given below are two statements: Statement I : D-glucose pentaacetate reacts with 2,4 -dinitrophenylhydrazine Statement II : Starch, on heating with concentrated sulfuric acid at $10 0^{\circ} C$ and $2 - 3 atmosphere$ …
Chemistry · Biomolecules · MCQ
Q4.A weak acid HA has degree of dissociation x . Which option gives the correct expression of ( pH - $pK_{a}$ )?
Chemistry · Ionic Equilibrium · MCQ
Q5.For a given reaction $R \to P, t_{1/2}$ is related to $[A]_{0}$ as given in table. Given: $lo g 2 = 0.30$ Which of the following is true? A. The order of the reaction is $1/2$ . B. If $[A]_{0}$ … Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q6.A molecule ("P") on treatment with acid undergoes rearrangement and gives ("Q"). ("Q") on ozonolysis followed by reflux under alkaline condition gives (" $R$ "). The structure of (" $R$ ") is given below. The structure of ("P") is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Multiple correct
Q7.The products A and B in the following reactions, respectively are $A ⟷ Ag - NO_{2} CH_{3} - CH_{2} - CH_{2} - Br AgCN B$
Chemistry · Haloalkanes and Haloarenes · MCQ
Q8.In a multielectron atom, which of the following orbitals described by three quantum numbers will have same energy in absence of electric and magnetic fields? A. $n = 1, l = 0, m_{1} = 0$ B. $n = 2, l = 0, m_{1} = 0$ …
Chemistry · Structure of Atom · MCQ
Q9.Given below are two statements: Statement I: In the oxalic acid vs $KMnO_{4}$ (in the presence of dil $H_{2} SO_{4}$ ) titration the solution needs to be heated initially to $6 0^{\circ} C$ , but no heating is…
Chemistry · Redox Reactions · MCQ
Q10.Consider the following elements $In, Tl, Al, Pb, Sn$ and Ge . The most stable oxidation states of elements with highest and lowest first ionisation enthalpies, respectively, are
Chemistry · Periodic Table and Periodicity · MCQ
Q11.Both acetaldehyde and acetone (individually) undergo which of the following reactions? A. Iodoform Reaction B. Cannizaro Reaction C. Aldol Condensation D. Tollen's Test E. Clemmensen Reduction Choose the correct answer from the options…
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q12.The compounds that produce $CO_{2}$ with aqueous $NaHCO_{3}$ solution are: Choose the correct answer from the options given below: Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q13.The metal ion whose electronic configuration is not affected by the nature of the ligand and which gives a violet colour in non-luminous flame under hot condition in borax bead test is
Chemistry · D and F Block Elements · MCQ
Q14.Consider ' n ' is the number of lone pair of electrons present in the equatorial position of the most stable structure of $ClF_{3}$ . The ions from the following with ' n ' number of unpaired electrons are A. $V^{3 +}$ B. $Ti^{3 +}$ …
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q15.The correct order of stability of following carbocations is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q16.Match the List - I with List - II Choose the correct answer from the options given below: Includes table
Chemistry · Redox Reactions · MCQ
Q17.Given below are two statements : Statement I : Statement II : In , intramolecular substitution takes place first by involving lone pair of electrons on nitrogen. In the light of the above statements, choose the most appropriate answer from… Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q18.Which of the following oxidation reactions are carried out by both $K_{2} Cr_{2} O_{7}$ and $KMnO_{4}$ in acidic medium? A. $Γ^{-} \to I_{2}$ B. $S^{2 -} \to S$ C. $Fe^{2 +} \to Fe^{3 +}$ …
Chemistry · Redox Reactions · MCQ
Q19.The molecules having square pyramidal geometry are
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q20.Ice and water are placed in a closed container at a pressure of 1 atm and temperature 273.15 K . If pressure of the system is increased 2 times, keeping temperature constant, then identify correct observation from following
Chemistry · Thermodynamics · MCQ
Q21.The formation enthalpies, $Δ H_{f}^{⊖}$ for $H_{(g)}$ and $O_{(g)}$ are 220.0 and $250.0 kJ mol^{- 1}$ , respectively, at 298.15 K , and $Δ H_{f}^{⊖}$ …
Chemistry · Thermodynamics · Numerical
Q22.Consider the following sequence of reactions: 11.25 mg of chlorobenzene will produce $\times 1 0^{- 1} mg$ of product B. (Consider the reactions result in complete conversion.) [Given molar mass of $C, H, O, N$ … Includes diagram
Chemistry · Haloalkanes and Haloarenes · Numerical
Q23.The molarity of a $70%$ (mass/mass) aqueous solution of a monobasic acid (X) is $\times 1 0^{- 1}$ M (Nearest integer) [Given: Density of aqueous solution of (X) is $1.25 g mL^{- 1}$ Molar mass…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q24.Given below is the plot of the molar conductivity vs $concentration$ for KCl in aqueous solution. If, for the higher concentration of KCl solution, the resistance of the conductivity cell is $100Ω$ , then the… Includes diagram
Chemistry · Electrochemistry · Numerical
Q25.Quantitative analysis of an organic compound (X) shows following % composition. C : $14.5%$ Cl : 64.46% H: 1.8 % (Empirical formula mass of the compound $(X)$ is $\times 1 0^{- 1}$ (Given molar mass in $g mol^{- 1}$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q26.Let $A (x, y, z)$ be a point in $x y$ -plane, which is equidistant from three points $(0, 3, 2), (2, 0, 3)$ and $(0, 0, 1)$ . Let $B = (1, 4, - 1)$ and $C = (2, 0, - 2)$ . Then among the statements (S1) : $△ ABC$ is…
Mathematics · 3D Geometry · MCQ
Q27.If $f (x) = \frac{2 ^{x}}{2 ^{x} + 2}, x \in R$ , then $\sum_{k = 1}^{81} f (\frac{k}{82})$ is equal to
Mathematics · Functions · MCQ
Q28.The sum, of the squares of all the roots of the equation $x^{2} + ∣2 x - 3∣ - 4 = 0$ , is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q29.The relation $R = {(x, y) : x, y \in Z$ and $x + y$ is even $}$ is:
Mathematics · Sets and Relations · MCQ
Q30.Let $⟨ a_{n} ⟩$ be a sequence such that $a_{0} = 0, a_{1} = \frac{1}{2}$ and $2 a_{n + 2} = 5 a_{n + 1} - 3 a_{n}, n = 0, 1, 2, 3, \dots$ . Then $k = 1 \sum 100 a_{k}$ is equal to
Mathematics · Sequences and Series · MCQ
Q31. $cos (sin^{- 1} \frac{3}{5} + sin^{- 1} \frac{5}{13} + sin^{- 1} \frac{33}{65})$ is equal to:
Mathematics · Inverse Trigonometric Functions · MCQ
Q32.If $\int_{- \frac{π}{2}}^{\frac{π}{2}} \frac{96 x ^{2} c o s ^{2} x}{( 1 + e ^{x} )} d x = π (α π^{2} + β), α, β \in Z$ , then $(α + β)^{2}$ equals
Mathematics · Definite Integration · MCQ
Q33.Let $T_{r}$ be the $r^{th}$ term of an A.P. If for some $m, T_{m} = \frac{1}{25}, T_{25} = \frac{1}{20}$ , and $20 r = 1 \sum 25 T_{r} = 13$ …
Mathematics · Sequences and Series · MCQ
Q34.Let $^{n} C_{r - 1} = 28,^{n} C_{r} = 56$ and $^{n} C_{r + 1} = 70$ . Let $A (4 cost, 4 sin t), B (2 sin t, - 2 cos t)$ and $C (3 r - n, r^{2} - n - 1)$ be the vertices of a triangle $A B C$ , where $t$ is a parameter. If $(3 x - 1)^{2} + (3 y)^{2} = α$ …
Mathematics · Permutations and Combinations · MCQ
Q35.Two number $k_{1}$ and $k_{2}$ are randomly chosen from the set of natural numbers. Then, the probability that the value of $i^{k_{1}} + i^{k_{2}}, (i = - 1)$ is non-zero, equals
Mathematics · Probability · MCQ
Q36.Three defective oranges are accidently mixed with seven good ones and on looking at them, it is not possible to differentiate between them. Two oranges are drawn at random from the lot. If $x$ denote the number of defective oranges, then…
Mathematics · Probability · MCQ
Q37.Let ABCD be a trapezium whose vertices lie on the parabola $y^{2} = 4 x$ . Let the sides AD and BC of the trapezium be parallel to $y$ -axis. If the diagonal AC is of length $\frac{25}{4}$ and it passes through the point…
Mathematics · Parabola · MCQ
Q38.If the image of the point $(4, 4, 3)$ in the line $\frac{x - 1}{2} = \frac{y - 2}{1} = \frac{z - 1}{3}$ is $(α, β, γ)$ , then $α + β + γ$ is equal to
Mathematics · 3D Geometry · MCQ
Q39.Let for some function $y = f (x), \int_{0}^{x} t f (t) d t = x^{2} f (x), x > 0$ and $f (2) = 3$ . Then $f (6)$ is equal to
Mathematics · Differential Equations · MCQ
Q40.The sum of all local minimum values of the function $f (x) = {1 - 2 x, x 2$ is
Mathematics · Application of Derivatives · MCQ
Q41.The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0 , $1, 2, 3, 4, 5, 6, 7$ , such that the sum of their first and last digits should not be more than 8 , is
Mathematics · Permutations and Combinations · MCQ
Q42.Let the equation of the circle, which touches $x$ -axis at the point $(a, 0), a > 0$ and cuts off an intercept of length $b$ on $y - a x i s$ be $x^{2} + y^{2} - α x + β y + γ = 0$ . If the circle lies below $x - a x i s$ , then the ordered pair…
Mathematics · Circle · MCQ
Q43.Let $f : R \to R$ be a function defined by $f (x) = (2 + 3 a) x^{2} + (\frac{a + 2}{a - 1}) x + b, a e q 1$ . If $f (x + y) = f (x) + f (y) + 1 - \frac{2}{7} x y$ , then the value of $28 i = 1 \sum 5 ∣ f (i) ∣$ is
Mathematics · Functions · MCQ
Q44.Let $O$ be the origin, the point $A$ be $z_{1} = 3 + 22 i$ , the point $B (z_{2})$ be such that $3 ∣ z_{2} ∣ = ∣ z_{1} ∣$ and $ar g (z_{2}) = ar g (z_{1}) + \frac{π}{6}$ . Then
Mathematics · Complex Numbers · MCQ
Q45.The area (in sq. units) of the region ${(x, y) : 0 \leq y \leq 2∣ x ∣ + 1, 0 \leq y \leq x^{2} + 1, ∣ x ∣ \leq 3}$ is
Mathematics · Area Under the Curves · MCQ
Q46.Let M denote the set of all real matrices of order $3 \times 3$ and let $S = {- 3, - 2, - 1, 1, 2}$ . Let $S_{1} = {A = [a_{ij}] \in M : A = A^{T} and a_{ij} \in S, \forall i, j}, S_{2} = {A = [a_{ij}] \in M : A = - A^{T} and a_{ij} \in S, \forall i, j}, S_{3} = {A = [a_{ij}] \in M : a_{11} + a_{22} + a_{33} = 0 and a_{ij} \in S, \forall i, j} .$ …
Mathematics · Matrices and Determinants · Numerical
Q47.Let $f (x) = {3 x, x 2$ where [.] denotes greatest integer function. If $α$ and $β$ are the number of points, where $f$ is not continuous and is not differentiable, respectively,…
Mathematics · Limits Continuity and Differentiability · Numerical
Q48.If $α = 1 + r = 1 \sum 6 (- 3)^{r - 1}^{12} C_{2 r - 1}$ , then the distance of the point $(12, 3)$ from the line $α x - 3 y + 1 = 0$ is .
Mathematics · Binomial Theorem · Numerical
Q49.Let $E_{1} : \frac{x ^{2}}{9} + \frac{y ^{2}}{4} = 1$ be an ellipse. Ellipses $E_{i}$ 's are constructed such that their centres and eccentricities are same as that of $E_{1}$ , and the length of minor axis of $E_{i}$ …
Mathematics · Ellipse · Numerical
Q50.Let $a = \hat{i} + \hat{j} + \hat{k}, b = 2 \hat{i} + 2 \hat{j} + \hat{k}$ and $d = a \times b$ . If $c$ …
Mathematics · Vector Algebra · Numerical
Q51.A bead of mass ' $m$ ' slides without friction on the wall of a vertical circular hoop of radius ' $R$ ' as shown in figure. The bead moves under the combined action of gravity and a massless spring (k) attached to the bottom of the hoop. The… Includes diagram
Physics · Work Power and Energy · MCQ
Q52.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason $R$ Assertion A: A sound wave has higher speed in solids than gases. Reason R: Gases have higher value of Bulk modulus than…
Physics · Waves · MCQ
Q53.In the experiment for measurement of viscosity ' $η$ ' of given liquid with a ball having radius $R$ , consider following statements. A. Graph between terminal velocity V and R will be a parabola. B. The terminal velocities of different…
Physics · Properties of Matter · MCQ
Q54.The center of mass of a thin rectangular plate (fig - x ) with sides of length $a$ and $b$ , whose mass per unit area $(σ)$ varies as $σ = \frac{σ _{0} x}{ab}$ (where $σ_{0}$ is a constant), would be . Includes diagram
Physics · Center of Mass · MCQ
Q55.Consider following statements: A. Surface tension arises due to extra energy of the molecules at the interior as compared to the molecules at the surface, of a liquid. B. As the temperature of liquid rises, the coefficient of viscosity…
Physics · Properties of Matter · MCQ
Q56.Find the equivalent resistance between two ends of the following circuit Includes diagram
Physics · Current Electricity · MCQ
Q57.Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason $R$ Assertion A: In a central force field, the work done is independent of the path chosen. Reason R: Every force encountered in…
Physics · Work Power and Energy · MCQ
Q58.A proton of mass ' $m_{P}$ ' has same energy as that of a photon of wavelength ' $λ$ '. If the proton is moving at non-relativistic speed, then ratio of its de Broglie wavelength to the wavelength of photon is.
Physics · Dual Nature of Radiation · MCQ
Q59.A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into $a$ square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is
Physics · Current Electricity · MCQ
Q60.Consider a long thin conducting wire carrying a uniform current I. A particle having mass "M" and charge " $q$ " is released at a distance " $a$ " from the wire with a speed $v_{0}$ along the direction of current in the wire. The particle gets…
Physics · Magnetics · MCQ
Q61.Due to presence of an em-wave whose electric component is given by $E = 100 sin (ω t - k x) NC^{- 1}$ a cylinder of length 200 cm holds certain amount of em-energy inside it. If another cylinder of same length but half diameter…
Physics · Electromagnetic Waves · MCQ
Q62.Three infinitely long wires with linear charge density $λ$ are placed along the $x - a x i s, y - a x i s$ and $z -$ axis respectively. Which of the following denotes an equipotential surface?
Physics · Electrostatics · MCQ
Q63.For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?
Physics · Heat and Thermodynamics · MCQ
Q64.Two capacitors $C_{1}$ and $C_{2}$ are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are $U_{1}$ and $U_{2}$ , respectively. Which of the… Includes diagram
Physics · Capacitor · MCQ
Q65.A particle of mass ' $m$ ' and charge ' $q$ ' is fastened to one end ' $A$ ' of a massless string having equilibrium length $l$ , whose other end is fixed at point ' $O$ '. The whole system is placed on a frictionless horizontal plane and is… Includes diagram
Physics · Electrostatics · MCQ
Q66.A thin prism $P_{1}$ with angle $4^{\circ}$ made of glass having refractive index 1.54 , is combined with another thin prism $P_{2}$ made of glass having refractive index 1.72 to get dispersion without deviation. The angle of…
Physics · Geometrical Optics · MCQ
Q67.Which of the following circuits has the same output as that of the given circuit? Includes diagram
Physics · Electronic Devices · MCQ
Q68.A hemispherical vessel is completely filled with a liquid of refractive index $μ$ . A small coin is kept at the lowest point $(O)$ of the vessel as shown in figure. The minimum value of the refractive index of the liquid so that… Includes diagram
Physics · Geometrical Optics · MCQ
Q69.Choose the correct nuclear process from the below options [ p : proton, n : neutron, $e^{-}$ : electron, $e^{+}$ : positron, $v :$ neutrino, $\overset{v}{ˉ} :$ antineutrino]
Physics · Atoms and Nuclei · MCQ
Q70.A Carnot engine $(E)$ is working between two temperatures 473 K and 273 K . In a new system two engines - engine $E_{1}$ works between 473 K to 373 K and engine $E_{2}$ works between 373 K to 273 K . If $η_{12}, η_{1}$ and…
Physics · Heat and Thermodynamics · MCQ
Q71.Two iron solid discs of negligible thickness have radii $R_{1}$ and $R_{2}$ and moment of intertia $I_{1}$ and $I_{2}$ , respectively. For $R_{2} = 2 R_{1}$ , the ratio of $I_{1}$ and $I_{2}$ would be $1/ x$ , where $x =$ .
Physics · Rotational Motion · Numerical
Q72.In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of $[M^{a} L^{b} T^{c}]$ . If $b = 3$ , the value of $c$ is .
Physics · Properties of Matter · Numerical
Q73.The moment of inertia of a solid disc rotating along its diameter is 2.5 times higher than the moment of inertia of a ring rotating in similar way. The moment of inertia of a solid sphere which has same radius as the disc and rotating in…
Physics · Rotational Motion · Numerical
Q74.A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm , respectively. Using a specially designed screw gauge which has pitch of 0.75 mm and 15 divisions in the circular scale, you are asked to find the area of the…
Physics · Units and Measurements · Numerical
Q75.A double slit interference experiment performed with a light of wavelength 600 nm forms an interference fringe pattern on a screen with 10 th bright fringe having its centre at a distance of 10 mm from the central maximum. Distance of the…
Physics · Wave Optics · Numerical