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2025 · 3 Apr · Shift 2

75 questions · JEE Main

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2025 · 3 Apr · Shift 2

2025 · 3 Apr · Shift 2

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

Chemical Bonding and Molecular StructureChemistry · 1 questions BiomoleculesChemistry · 1 questions Basics of Organic ChemistryChemistry · 3 questions Some Basic Concepts of ChemistryChemistry · 4 questions ThermodynamicsChemistry · 3 questions Periodic Table and PeriodicityChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Coordination CompoundsChemistry · 1 questions D and F Block ElementsChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions Salt AnalysisChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Area Under the CurvesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions 3D GeometryMathematics · 2 questions Complex NumbersMathematics · 1 questions EllipseMathematics · 1 questions Application of DerivativesMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Differential EquationsMathematics · 1 questions FunctionsMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Sets and RelationsMathematics · 1 questions StatisticsMathematics · 1 questions Definite IntegrationMathematics · 1 questions ProbabilityMathematics · 1 questions Trigonometric Functions and EquationsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions CircleMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions HyperbolaMathematics · 1 questions Binomial TheoremMathematics · 1 questions Vector AlgebraMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Properties of MatterPhysics · 3 questions Wave OpticsPhysics · 3 questions Motion in A Straight LinePhysics · 1 questions Center of MassPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions CapacitorPhysics · 1 questions Current ElectricityPhysics · 2 questions WavesPhysics · 1 questions Laws of MotionPhysics · 1 questions Electronic DevicesPhysics · 1 questions Units and MeasurementsPhysics · 2 questions Motion in A PlanePhysics · 1 questions Atoms and NucleiPhysics · 2 questions Alternating CurrentPhysics · 1 questions MagneticsPhysics · 1 questions Geometrical OpticsPhysics · 1 questions

Q1.Given below are two statements: Statement I : Wet cotton clothes made of cellulose based carbohydrate takes comparatively longer time to get dried than wet nylon polymer based clothes. Statement II : Intermolecular hydrogen bonding with…
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.Fat soluble vitamins are: A. Vitamin $B_{1}$ B. Vitamin C C. Vitamin E D. Vitamin B 12 E. Vitamin K Choose the correct answer from the options given below:
Chemistry · Biomolecules · MCQ
Q3. $What is the correct IUPAC name of$ ? Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q4.Mass of magnesium required to produce 220 mL of hydrogen gas at STP on reaction with excess of dil. HCl is Given: Molar mass of Mg is $24 g mol^{- 1}$ .
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q5.Given below are two statements: Statement I : When a system containing ice in equilibrium with water (liquid) is heated, heat is absorbed by the system and there is no change in the temperature of the system until whole ice gets melted.…
Chemistry · Thermodynamics · MCQ
Q6.The correct orders among the following are Atomic radius : $B E l ec t r o n e g a t i v i t y :$ \mathrm{Al}Density : $Tl 1 s t I o ni s a t i o n E n er g y :$ \mathrm{In}Choose the correct answer from the options given below:
Chemistry · Periodic Table and Periodicity · MCQ
Q7.10 mL of 2 M NaOH solution is added to 20 mL of 1 M HCl solution kept in a beaker. Now, 10 mL of this mixture is poured into a volumetric flask of 100 mL containing 2 moles of HCl and made the volume upto the mark with distilled water. The…
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q8. $In the following series of reactions identify the major products A & B respectively$ Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q9.Identify the diamagnetic octahedral complex ions from below ; A. $[Mn (CN)_{6}]^{3 -}$ B. $[Co (NH_{3})_{6}]^{3 +}$ C. $[Fe (CN)_{6}]^{4 -}$ D. $[Co (H_{2} O)_{3} F_{3}]$ …
Chemistry · Coordination Compounds · MCQ
Q10.Given below are two statements: Statement I : $CrO_{3}$ is a stronger oxidizing agent than $MoO_{3}$ Statement II : $Cr (VI)$ is more stable than $Mo (VI)$ In the light of the above…
Chemistry · D and F Block Elements · MCQ
Q11.Consider the following statements related to temperature dependence of rate constants. Identify the correct statements. A. The Arrhenius equation holds true only for an elementary homogenous reaction. B. The unit of $A$ is same as that of $k$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q12.Given below are two statements : Statement I : Hyperconjugation is not a permanent effect. Statement II : In general, greater the number of alkyl groups attached to a positively charged Catom, greater is the hyperconjugation interaction…
Chemistry · Basics of Organic Chemistry · MCQ
Q13.The sequence from the following that would result in giving predominantly $3, 4, 5 -$ Tribromoaniline is :
Chemistry · Compounds Containing Nitrogen · MCQ
Q14. $Match the LIST-I with LIST-II$ Choose the correct answer from the options given below: Includes table
Chemistry · Periodic Table and Periodicity · MCQ
Q15. $The major product (P) in the following reaction is :$ Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q16.The standard cell potential $(E_{cell}^{⊖})$ of a fuel cell based on the oxidation of methanol in air that has been used to power television relay station is measured as 1.21 V . The standard half cell…
Chemistry · Electrochemistry · MCQ
Q17.For electrons in ' 2 s ' and ' 2 p ' orbitals, the orbital angular momentum values, respectively are :
Chemistry · Structure of Atom · MCQ
Q18.Compounds that should not be used as primary standards in titrimetric analysis are : A. $Na_{2} Cr_{2} O_{7}$ B. Oxalic acid C. NaOH D. $FeSO_{4} \cdot 6 H_{2} O$ E. Sodium tetraborate Choose the…
Chemistry · Salt Analysis · MCQ
Q19.40 mL of a mixture of $CH_{3} COOH$ and HCl (aqueous solution) is titrated against 0.1 M NaOH solution conductometrically. Which of the following statement is correct? Includes diagram
Chemistry · Ionic Equilibrium · MCQ
Q20.In Dumas' method for estimation of nitrogen 0.4 g of an organic compound gave 60 mL of nitrogen collected at 300 K temperature and 715 mm Hg pressure. The percentage composition of nitrogen in the compound is (Given : Aqueous tension at $300 K = 15 mm Hg$ …
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q21.X g of nitrobenzene on nitration gave 4.2 g of m -dinitrobenzene. X = g. (nearest integer) [Given : molar mass (in $g mol^{- 1}) C : 12, H : 1, O : 16, N : 14]$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q22.The total number of structural isomers possible for the substituted benzene derivatives with the molecular formula $C_{9} H_{12}$ is .
Chemistry · Basics of Organic Chemistry · Numerical
Q23.Among, $Sc, Mn, Co$ and Cu , identify the element with highest enthalpy of atomisation. The spin only magnetic moment value of that element in its +2 oxidation state is BM (in nearest…
Chemistry · D and F Block Elements · Numerical
Q24.A perfect gas ( 0.1 mol ) having $\overline{C}_{v} = 1.50 R$ (independent of temperature) undergoes the above transformation from point 1 to point 4. If each step is reversible, the total work done (w) while going from point 1… Includes diagram
Chemistry · Thermodynamics · Numerical
Q25.A sample of n -octane $(1.14 g)$ was completely burnt in excess of oxygen in a bomb calorimeter, whose heat capacity is $5 kJ K^{- 1}$ . As a result of combustion reaction, the temperature of the calorimeter is…
Chemistry · Thermodynamics · Numerical
Q26.The area of the region ${(x, y) : ∣ x - y ∣ \leq y \leq 4 x}$ is
Mathematics · Area Under the Curves · MCQ
Q27.Line $L_{1}$ of slope 2 and line $L_{2}$ of slope $\frac{1}{2}$ intersect at the origin O . In the first quadrant, $P_{1}$ , $P_{2}, \dots, P_{12}$ are 12 points on line $L_{1}$ and $Q_{1}, Q_{2}, \dots, Q_{9}$ are 9 points on line $L_{2}$ . Then…
Mathematics · Permutations and Combinations · MCQ
Q28.Each of the angles $β$ and $γ$ that a given line makes with the positive $y$ - and $z$ -axes, respectively, is half of the angle that this line makes with the positive $x$ -axes. Then the sum of all possible values of the angle $β$ …
Mathematics · 3D Geometry · MCQ
Q29.If $z_{1}, z_{2}, z_{3} \in C$ are the vertices of an equilateral triangle, whose centroid is $z_{0}$ , then $k = 1 \sum 3 (z_{k} - z_{0})^{2}$ is equal to
Mathematics · Complex Numbers · MCQ
Q30.Let $C$ be the circle of minimum area enclosing the ellipse $E : \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ with eccentricity $\frac{1}{2}$ and foci $(\pm 2, 0)$ . Let $P QR$ be a variable triangle, whose vertex $P$ is on the circle $C$ and the…
Mathematics · Ellipse · MCQ
Q31.The shortest distance between the curves $y^{2} = 8 x$ and $x^{2} + y^{2} + 12 y + 35 = 0$ is:
Mathematics · Application of Derivatives · MCQ
Q32.Consider the lines $x (3 λ + 1) + y (7 λ + 2) = 17 λ + 5, λ$ being a parameter, all passing through a point P. One of these lines (say $L$ ) is farthest from the origin. If the distance of $L$ from the point $(3, 6)$ is $d$ , then…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q33.Let $y = y (x)$ be the solution of the differential equation $\frac{d y}{d x} + 3 (tan^{2} x) y + 3 y = sec^{2} x, y (0) = \frac{1}{3} + e^{3}$ . Then $y (\frac{π}{4})$ is equal to :
Mathematics · Differential Equations · MCQ
Q34.Let $f$ be a function such that $f (x) + 3 f (\frac{24}{x}) = 4 x, x e q 0$ . Then $f (3) + f (8)$ is equal to
Mathematics · Functions · MCQ
Q35.Let the equation $x (x + 2) (12 - k) = 2$ have equal roots. Then the distance of the point $(k, \frac{k}{2})$ from the line $3 x + 4 y + 5 = 0$ is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q36.Let $A = {- 2, - 1, 0, 1, 2, 3}$ . Let R be a relation on $A$ defined by $x R y$ if and only if $y = max {x, 1}$ . Let $l$ be the number of elements in R . Let $m$ and $n$ be the minimum number of elements required to be added in R to…
Mathematics · Sets and Relations · MCQ
Q37.Let the Mean and Variance of five observations $x_{1} = 1, x_{2} = 3, x_{3} = a, x_{4} = 7$ and $x_{5} = b, a > b$ , be 5 and 10 respectively. Then the Variance of the observations $n + x_{n}, n = 1, 2, \dots, 5$ is
Mathematics · Statistics · MCQ
Q38.The integral $\int_{0}^{π} \frac{8 x d x}{4 c o s ^{2} x + s i n ^{2} x}$ is equal to
Mathematics · Definite Integration · MCQ
Q39.The distance of the point $(7, 10, 11)$ from the line $\frac{x - 4}{1} = \frac{y - 4}{0} = \frac{z - 2}{3}$ along the line $\frac{x - 9}{2} = \frac{y - 13}{3} = \frac{z - 17}{6}$ is
Mathematics · 3D Geometry · MCQ
Q40.If the probability that the random variable $X$ takes the value $x$ is given by $P (X = x) = k (x + 1) 3^{- x}, x = 0, 1, 2, 3 \dots$ , where $k$ is a constant, then $P (X \geq 3)$ is equal to
Mathematics · Probability · MCQ
Q41.The number of solutions of the equation $(4 - 3) sin x - 23 cos^{2} x = - \frac{4}{1 + 3}, x \in [- 2 π, \frac{5 π}{2}]$ is
Mathematics · Trigonometric Functions and Equations · MCQ
Q42.If the domain of the function $f (x) = lo g_{7} (1 - lo g_{4} (x^{2} - 9 x + 18))$ is $(α, β) \cup (γ, o)$ , then $α + β + γ + \overset{o}{^}$ is equal to
Mathematics · Functions · MCQ
Q43.Let $f : R \to R$ be a function defined by $f (x) = ∣∣ x + 2∣ - 2∣ x ∥$ . If $m$ is the number of points of local minima and $n$ is the number of points of local maxima of $f$ , then $m + n$ is
Mathematics · Application of Derivatives · MCQ
Q44.The sum $1 + \frac{1 + 3}{2 !} + \frac{1 + 3 + 5}{3 !} + \frac{1 + 3 + 5 + 7}{4 !} + \dots$ upto $\infty$ terms, is equal to
Mathematics · Sequences and Series · MCQ
Q45.If the four distinct points $(4, 6), (- 1, 5), (0, 0)$ and $(k, 3 k)$ lie on a circle of radius $r$ , then $10 k + r^{2}$ is equal to
Mathematics · Circle · MCQ
Q46.If $x \to 0 lim (\frac{t a n x}{x})^{\frac{1}{x ^{2}}} = p$ , then $96 lo g_{e} p$ is equal to
Mathematics · Limits Continuity and Differentiability · Numerical
Q47.If the equation of the hyperbola with foci $(4, 2)$ and $(8, 2)$ is $3 x^{2} - y^{2} - α x + β y + γ = 0$ , then $α + β + γ$ is equal to .
Mathematics · Hyperbola · Numerical
Q48.Let $(1 + x + x^{2})^{10} = a_{0} + a_{1} x + a_{2} x^{2} + \dots + a_{20} x^{20}$ . If $(a_{1} + a_{3} + a_{5} + \dots + a_{19}) - 11 a_{2} = 121 k$ , then $k$ is equal to .
Mathematics · Binomial Theorem · Numerical
Q49.Let $a = \hat{i} + 2 \hat{j} + \hat{k}, b = 3 \hat{i} - 3 \hat{j} + 3 \hat{k}, c = 2 \hat{i} - \hat{j} + 2 \hat{k}$ and $d$ be a vector such that $b \times d = c \times d$ and $a \cdot d = 4$ . Then $∣ (a \times d) ∣^{2}$ …
Mathematics · Vector Algebra · Numerical
Q50.Let $I$ be the identity matrix of order $3 \times 3$ and for the matrix $A = λ 47 25 - 1 362, ∣ A ∣ = - 1$ . Let $B$ be the inverse of the matrix $adj (Aadj (A^{2}))$ …
Mathematics · Matrices and Determinants · Numerical
Q51.Two cylindrical vessels of equal cross sectional area of $2 m^{2}$ contain water upto heights 10 m and 6 m , respectively. If the vessels are connected at their bottom then the work done by the force of gravity is (Density of water…
Physics · Properties of Matter · MCQ
Q52.Two monochromatic light beams have intensities in the ratio 1:9. An interference pattern is obtained by these beams. The ratio of the intensities of maximum to minimum is
Physics · Wave Optics · MCQ
Q53.A particle moves along the $x$ -axis and has its displacement $x$ varying with time t according to the equation: $x = c_{0} (t^{2} - 2) + c (t - 2)^{2}$ where $c_{0}$ and c are constants of…
Physics · Motion in A Straight Line · MCQ
Q54.Consider two blocks A and B of masses $m_{1} = 10 kg$ and $m_{2} = 5 kg$ that are placed on a frictionless table. The block A moves with a constant speed $v = 3 m / s$ towards the block B kept at rest.… Includes diagram
Physics · Center of Mass · MCQ
Q55.A magnetic dipole experiences a torque of $803 N m$ when placed in uniform magnetic field in such a way that dipole moment makes angle of $6 0^{\circ}$ with magnetic field. The potential energy of the dipole is :
Physics · Magnetic Properties of Matter · MCQ
Q56.An ideal gas exists in a state with pressure $P_{0}$ , volume $V_{0}$ . It is isothermally expanded to 4 times of its initial volume $(V_{0})$ , then isobarically compressed to its original volume. Finally the system is heated…
Physics · Heat and Thermodynamics · MCQ
Q57.Width of one of the two slits in a Young's double slit interference experiment is half of the other slit. The ratio of the maximum to the minimum intensity in the interference pattern is :
Physics · Wave Optics · MCQ
Q58.Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is connected to the first capacitor in parallel. If the final voltage across the second capacitor is 20 V ,…
Physics · Capacitor · MCQ
Q59.A motor operating on 100 V draws a current of 1 A . If the efficiency of the motor is $91.6%$ , then the loss of power in units of $cal / s$ is
Physics · Current Electricity · MCQ
Q60.In the resonance experiment, two air columns (closed at one end) of 100 cm and 120 cm long, give 15 beats per second when each one is sounding in the respective fundamental modes. The velocity of sound in the air column is:
Physics · Waves · MCQ
Q61.A block of mass 1 kg , moving along $x$ with speed $v_{i} = 10 m / s$ enters a rough region ranging from $x = 0.1 m$ to $x = 1.9 m$ . The retarding force acting on the block in this range is $F_{r} = - kr N$ …
Physics · Laws of Motion · MCQ
Q62. $The truth table corresponding to the circuit given below is:$ Includes diagram
Physics · Electronic Devices · MCQ
Q63.A monochromatic light of frequency $5 \times 1 0^{14} Hz$ travelling through air, is incident on a medium of refractive index ' 2 '. Wavelength of the refracted light will be :
Physics · Wave Optics · MCQ
Q64. $Match the LIST-I with LIST-II$ Choose the correct answer from the options given below: Includes table
Physics · Units and Measurements · MCQ
Q65.Pressure of an ideal gas, contained in a closed vessel, is increased by $0.4%$ when heated by $1^{\circ} C$ . Its initial temperature must be:
Physics · Heat and Thermodynamics · MCQ
Q66.A solid steel ball of diameter 3.6 mm acquired terminal velocity $2.45 \times 1 0^{- 2} m / s$ while falling under gravity through an oil of density $925 kg m^{- 3}$ . Take density of steel as $7825 kg m^{- 3}$ …
Physics · Properties of Matter · MCQ
Q67.A particle is projected with velocity $u$ so that its horizontal range is three times the maximum height attained by it. The horizontal range of the projectile is given as $\frac{n u ^{2}}{25 g}$ , where value of $n$ is: (Given, ' $g$ ' is the…
Physics · Motion in A Plane · MCQ
Q68.Given below are two statements: one is labelled as $Assertion A$ and the other is labelled as Reason $R$ Assertion A : The Bohr model is applicable to hydrogen and hydrogen-like atoms only. Reason $R$ …
Physics · Atoms and Nuclei · MCQ
Q69.An electric bulb rated as $100 W - 220 V$ is connected to an ac source of rms voltage 220 V. The peak value of current through the bulb is :
Physics · Alternating Current · MCQ
Q70.Given below are two statements: one is labelled as $Assertion A$ and the other is labelled as Reason $R$ Assertion A : If Oxygen ion $(O^{- 2})$ and Hydrogen ion $(H^{+})$ …
Physics · Magnetics · MCQ
Q71.An electron in the hydrogen atom initially in the fourth excited state makes a transition to $n^{th}$ energy state by emitting a photon of energy 2.86 eV . The integer value of n will be .
Physics · Atoms and Nuclei · Numerical
Q72.Light from a point source in air falls on a spherical glass surface (refractive index, $μ = 1.5$ and radius of curvature $= 50 cm$ ). The image is formed at a distance of 200 cm from the glass surface inside the glass. The…
Physics · Geometrical Optics · Numerical
Q73.Two cells of emfs 1 V and 2 V and internal resistances $2Ω$ and $1Ω$ , respectively, are connected in series with an external resistance of $6Ω$ . The total current in the circuit is $I_{1}$ . Now the same two cells in…
Physics · Current Electricity · Numerical
Q74.The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is $n$ times the volume of the bubble $B$ , then, the value of $n$ is…
Physics · Properties of Matter · Numerical
Q75.A physical quantity C is related to four other quantities $p, q, r$ and s as follows $C = \frac{p q ^{2}}{r ^{3} s}$ The percentage errors in the measurement of $p, q, r$ and s are $1%, 2%, 3%$ …
Physics · Units and Measurements · Numerical