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2025 · 28 Jan · Shift 2

75 questions · JEE Main

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2025 · 28 Jan · Shift 2

2025 · 28 Jan · Shift 2

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

HydrocarbonsChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 3 questions Ionic EquilibriumChemistry · 1 questions BiomoleculesChemistry · 2 questions ThermodynamicsChemistry · 2 questions Structure of AtomChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions SolutionsChemistry · 1 questions Isolation of ElementsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Salt AnalysisChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions ElectrochemistryChemistry · 1 questions P Block ElementsChemistry · 1 questions Area Under the CurvesMathematics · 1 questions ProbabilityMathematics · 2 questions Definite IntegrationMathematics · 2 questions EllipseMathematics · 1 questions 3D GeometryMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions Binomial TheoremMathematics · 1 questions Vector AlgebraMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Complex NumbersMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions FunctionsMathematics · 1 questions Sequences and SeriesMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions ParabolaMathematics · 1 questions Differential EquationsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Geometrical OpticsPhysics · 2 questions Rotational MotionPhysics · 1 questions Current ElectricityPhysics · 2 questions Electromagnetic InductionPhysics · 2 questions Motion in A Straight LinePhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Laws of MotionPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions MagneticsPhysics · 1 questions Atoms and NucleiPhysics · 1 questions GravitationPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions Properties of MatterPhysics · 2 questions Simple Harmonic MotionPhysics · 1 questions CapacitorPhysics · 1 questions Wave OpticsPhysics · 1 questions ElectrostaticsPhysics · 1 questions

Q1.The product B formed in the following reaction sequence is: Includes diagram
Chemistry · Hydrocarbons · MCQ
Q2.The major product of the following reaction is: Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q3.Given below are two statements: Statement I: and are isomeric compounds. Statement II: and are functional group isomers. In the light of the above statements, choose the correct answer from the options given below: Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q4.Match List - I with List - II. Choose the correct answer from the options given below: Includes table
Chemistry · Coordination Compounds · MCQ
Q5.Arrange the following in increasing order of solubility product : $Ca (OH)_{2}, AgBr, PbS, HgS$
Chemistry · Ionic Equilibrium · MCQ
Q6.Match List-I with List-II. Choose the correct answer from the options given below : Includes table
Chemistry · Biomolecules · MCQ
Q7.An ideal gas undergoes a cyclic transformation starting from the point A and coming back to the same point by tracing the path A→B→C→D→A as shown in the three cases above. Choose the correct option regarding ΔU : Includes diagram
Chemistry · Thermodynamics · MCQ
Q8.Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen atom? (A) 1s < 2p < 3d < 4s (B) 1s < 2s = 2p < 3s = 3p (C) 1s < 2s < 2p < 3s < 3p (D) 1s < 2s < 4s < 3d…
Chemistry · Structure of Atom · MCQ
Q9.The amphoteric oxide among $V_{2} O_{3}, V_{2} O_{4}$ and $V_{2} O_{5}$ , upon reaction with alkali leads to formation of an oxide anion. The oxidation state of V in the oxide anion is :
Chemistry · D and F Block Elements · MCQ
Q10.Identify product [A], [B] and [C] in the following reaction sequence. $CH_{3} - C \equiv CH Pd / C H_{2} [A] (i) O_{3} (ii) Zn, H_{2} O [B] + [C]$ …
Chemistry · Hydrocarbons · MCQ
Q11.Identify correct conversion during acidic hydrolysis from the following : (A) starch gives galactose. (B) cane sugar gives equal amount of glucose and fructose. (C) milk sugar gives glucose and galactose. (D) amylopectin gives glucose and…
Chemistry · Biomolecules · MCQ
Q12.The total number of compounds from below when treated with hot $K M n O_{4}$ , giving benzoic acid is: Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q13.Assume a living cell with 0.9% (w/w) of glucose solution (aqueous). This cell is immersed in another solution having equal mole fraction of glucose and water. (Consider the data upto first decimal place only) The cell will :
Chemistry · Solutions · MCQ
Q14.The purification method based on the following physical transformation is : $(X) Solid Heat (X) Vapour Cool (X) Solid$
Chemistry · Isolation of Elements · MCQ
Q15.Identify correct statements : (A) Primary amines do not give diazonium salts when treated with $NaNO_{2}$ in acidic condition. (B) Aliphatic and aromatic primary amines on heating with $CHCl_{3}$ and ethanolic KOH form…
Chemistry · Compounds Containing Nitrogen · MCQ
Q16.Identify the inorganic sulphides that are yellow in colour : (A) $(N H_{4})_{2} S$ (B) $P b S$ (C) $C u S$ (D) $A s_{2} S_{3}$ (E) $A s_{2} S_{5}$ Choose the correct answer from the options given below :
Chemistry · Salt Analysis · MCQ
Q17.Consider an elementary reaction $A (g) + B (g) \to C (g) + D (g)$ If the volume of reaction mixture is suddenly reduced to $\frac{1}{3}$ of its initial volume,…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q18.Given below are two statements : Statement I : According to the Law of Octaves, the elements were arranged in the increasing order of their atomic number. Statement II : Meyer observed a periodically repeated pattern upon plotting physical…
Chemistry · Periodic Table and Periodicity · MCQ
Q19.Concentrated nitric acid is labelled as $75%$ by mass. The volume in mL of the solution which contains 30 g of nitric acid is . Given : Density of nitric acid solution is $1.25 g / mL$ .
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q20.For bacterial growth in a cell culture, growth law is very similar to the law of radioactive decay. Which of the following graphs is most suitable to represent bacterial colony growth ? Where N - Number of Bacteria at any time, $N_{0}$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q21.The spin only magnetic moment ( $μ$ ) value (B.M.) of the compound with strongest oxidising power among $Mn_{2} O_{3}, TiO$ and VO is B.M. (Nearest integer).
Chemistry · Coordination Compounds · Numerical
Q22.Total number of molecules/species from following which will be paramagnetic is . $O_{2}, O_{2}^{+}, O_{2}^{-}, NO, NO_{2}, CO, K_{2} [NiCl_{4}], [Co (NH_{3})_{6}] Cl_{3}, K_{2} [Ni (CN)_{4}]$ …
Chemistry · Coordination Compounds · Numerical
Q23.Electrolysis of 600 mL aqueous solution of NaCl for 5 min changes the pH of the solution to 12 . The current in Amperes used for the given electrolysis is . (Nearest integer).
Chemistry · Electrochemistry · Numerical
Q24.Consider the following data : Heat of formation of $CO_{2} (g) = - 393.5 kJ mol^{- 1}$ Heat of formation of $H_{2} O (l) = - 286.0 kJ mol^{- 1}$ Heat of…
Chemistry · Thermodynamics · Numerical
Q25.A group 15 element forms $d π - d π$ bond with transition metals. It also forms hydride, which is a strongest base among the hydrides of other group members that form $d π - d π$ bond. The atomic number of the element…
Chemistry · P Block Elements · Numerical
Q26.The area of the region bounded by the curves $x (1 + y^{2}) = 1$ and $y^{2} = 2 x$ is:
Mathematics · Area Under the Curves · MCQ
Q27.Bag $B_{1}$ contains 6 white and 4 blue balls, Bag $B_{2}$ contains 4 white and 6 blue balls, and Bag $B_{3}$ contains 5 white and 5 blue balls. One of the bags is selected at random and a ball is drawn from it. If the ball is white, then the…
Mathematics · Probability · MCQ
Q28.Let $f : R \to R$ be a twice differentiable function such that $f (2) = 1$ . If $F (x) = x f (x)$ for all $x \in R$ , $0 \int 2 x F^{'} (x) d x = 6$ …
Mathematics · Definite Integration · MCQ
Q29.If the midpoint of a chord of the ellipse $\frac{x ^{2}}{9} + \frac{y ^{2}}{4} = 1$ is $(2, 4/3)$ , and the length of the chord is $\frac{2 α}{3}$ , then $α$ is :
Mathematics · Ellipse · MCQ
Q30.The square of the distance of the point $(\frac{15}{7}, \frac{32}{7}, 7)$ from the line $\frac{x + 1}{3} = \frac{y + 3}{5} = \frac{z + 5}{7}$ in the direction of the vector $\hat{i} + 4 \hat{j} + 7 \hat{k}$ is:
Mathematics · 3D Geometry · MCQ
Q31.Two equal sides of an isosceles triangle are along $- x + 2 y = 4$ and $x + y = 4$ . If $m$ is the slope of its third side, then the sum, of all possible distinct values of $m$ , is:
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q32.Let the coefficients of three consecutive terms $T_{r}$ , $T_{r + 1}$ and $T_{r + 2}$ in the binomial expansion of $(a + b)^{12}$ be in a G.P. and let $p$ be the number of all possible values of $r$ . Let $q$ be the sum of all rational terms in…
Mathematics · Binomial Theorem · MCQ
Q33.If the components of $a = α \hat{i} + β \hat{j} + γ \hat{k}$ along and perpendicular to $b = 3 \hat{i} + \hat{j} - \hat{k}$ respectively, are $\frac{16}{11} (3 \hat{i} + \hat{j} - \hat{k})$ and $\frac{1}{11} (- 4 \hat{i} - 5 \hat{j} - 17 \hat{k})$ …
Mathematics · Vector Algebra · MCQ
Q34.Let $f : R - {0} \to (- \infty, 1)$ be a polynomial of degree 2 , satisfying $f (x) f (\frac{1}{x}) = f (x) + f (\frac{1}{x})$ . If $f (K) = - 2 K$ , then the sum of squares of all possible values…
Mathematics · Quadratic Equation and Inequalities · MCQ
Q35.Let [x] denote the greatest integer less than or equal to x. Then the domain of $f (x) = sec^{- 1} (2 [x] + 1)$ is:
Mathematics · Inverse Trigonometric Functions · MCQ
Q36.Let S be the set of all the words that can be formed by arranging all the letters of the word GARDEN. From the set S, one word is selected at random. The probability that the selected word will NOT have vowels in alphabetical order is:
Mathematics · Probability · MCQ
Q37.If A and B are the points of intersection of the circle $x^{2} + y^{2} - 8 x = 0$ and the hyperbola $\frac{x ^{2}}{9} - \frac{y ^{2}}{4} = 1$ and a point P moves on the line $2 x - 3 y + 4 = 0$ , then the centroid of $Δ P A B$ lies on the line :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q38.Let $A, B, C$ be three points in xy-plane, whose position vector are given by $3 \hat{i} + \hat{j}, \hat{i} + 3 \hat{j}$ and $a \hat{i} + (1 - a) \hat{j}$ respectively with respect to the origin O . If the distance of the point C…
Mathematics · Vector Algebra · MCQ
Q39.If $α + i β$ and $γ + i δ$ are the roots of $x^{2} - (3 - 2 i) x - (2 i - 2) = 0$ , $i = - 1$ , then $α γ + β δ$ is equal to:
Mathematics · Complex Numbers · MCQ
Q40.If $r = 1 \sum 13 {\frac{1}{s i n ( \frac{π}{4} + ( r - 1 ) \frac{π}{6} ) s i n ( \frac{π}{4} + \frac{r π}{6} )}} = a 3 + b, a, b \in Z$ , then $a^{2} + b^{2}$ is equal to :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q41.If $f (x) = \int \frac{1}{x ^{1/4} ( 1 + x ^{1/4} )} d x, f (0) = - 6$ , then $f (1)$ is equal to :
Mathematics · Indefinite Integrals · MCQ
Q42.Let $A = [\frac{1}{2} 0 - 2 1]$ and $P = [cos θ sin θ - sin θ cos θ], θ > 0$ . If $B = PAP^{⊤}, C = P^{⊤} B^{10} P$ …
Mathematics · Matrices and Determinants · MCQ
Q43.Let $f$ be a real valued continuous function defined on the positive real axis such that $g (x) = 0 \int x t f (t) d t$ . If $g (x^{3}) = x^{6} + x^{7}$ , then value of $r = 1 \sum 15 f (r^{3})$ is :
Mathematics · Definite Integration · MCQ
Q44.Let $f : [0, 3] \to$ A be defined by $f (x) = 2 x^{3} - 15 x^{2} + 36 x + 7$ and $g : [0, \infty) \to B$ be defined by $g (x) = \frac{x ^{2025}}{x ^{2025} + 1}$ , If both the functions are onto and $S = {x \in Z; x \in A$ or $x \in B}$ , then $n (S)$ …
Mathematics · Functions · MCQ
Q45.For positive integers $n$ , if $4 a_{n} = (n^{2} + 5 n + 6)$ and $S_{n} = k = 1 \sum n (\frac{1}{a _{k}})$ , then the value of $507 S_{2025}$ is :
Mathematics · Sequences and Series · MCQ
Q46.Let $f (x) = n \to \infty lim r = 0 \sum n (\frac{t a n ( x / 2 ^{r + 1} ) + t a n ^{3} ( x / 2 ^{r + 1} )}{1 - t a n ^{2} ( x / 2 ^{r + 1} )})$ Then $x \to 0 lim \frac{e ^{x} - e ^{f (x)}}{( x - f ( x ))}$ …
Mathematics · Limits Continuity and Differentiability · Numerical
Q47.Let $A$ and $B$ be the two points of intersection of the line $y + 5 = 0$ and the mirror image of the parabola $y^{2} = 4 x$ with respect to the line $x + y + 4 = 0$ . If $d$ denotes the distance between $A$ and $B$ , and a denotes the area of $△ S A B$ …
Mathematics · Parabola · Numerical
Q48.If $y = y (x)$ is the solution of the differential equation, $4 - x^{2} \frac{d y}{d x} = ((sin^{- 1} (\frac{x}{2}))^{2} - y) sin^{- 1} (\frac{x}{2}), - 2 \leq x \leq 2, y (2) = \frac{π ^{2} - 8}{4}$ …
Mathematics · Differential Equations · Numerical
Q49.The interior angles of a polygon with n sides, are in an A.P. with common difference 6°. If the largest interior angle of the polygon is 219°, then n is equal to .
Mathematics · Sequences and Series · Numerical
Q50.The number of natural numbers, between 212 and 999, such that the sum of their digits is 15, is .
Mathematics · Permutations and Combinations · Numerical
Q51.A concave mirror produces an image of an object such that the distance between the object and image is 20 cm. If the magnification of the image is –3, then the magnitude of the radius of curvature of the mirror is :
Physics · Geometrical Optics · MCQ
Q52.A uniform rod of mass 250 g having length 100 cm is balanced on a sharp edge at 40 cm mark. A mass of 400 g is suspended at 10 cm mark. To maintain the balance of the rod, the mass to be suspended at 90 cm mark, is
Physics · Rotational Motion · MCQ
Q53.In the circuit shown here, assuming threshold voltage of diode is negligibly small, then voltage $V_{A B}$ is correctly represented by: Includes diagram
Physics · Current Electricity · MCQ
Q54.A uniform magnetic field of 0.4 T acts perpendicular to a circular copper disc 20 cm in radius. The disc is having a uniform angular velocity of 10 $π$ rad s-1 about an axis through its centre and perpendicular to the disc. What is the…
Physics · Electromagnetic Induction · MCQ
Q55.The velocity-time graph of an object moving along a straight line is shown in the figure. What is the distance covered by the object between $t = 0$ to $t = 4 s$ ? Includes diagram
Physics · Motion in A Straight Line · MCQ
Q56.The magnetic field of an E.M. wave is given by $B = (\frac{3}{2} \hat{i} + \frac{1}{2} \hat{j}) 30 sin [ω (t - \frac{z}{c})]$ (S.I. Units). The corresponding electric field in S.I.…
Physics · Electromagnetic Waves · MCQ
Q57.A balloon and its content having mass M is moving up with an acceleration ‘a’. The mass that must be released from the content so that the balloon starts moving up with an acceleration ‘3a’ will be (Take ‘g’ as acceleration due to gravity)
Physics · Laws of Motion · MCQ
Q58.The ratio of vapour densities of two gases at the same temperature is $\frac{4}{25}$ , then the ratio of r.m.s. velocities will be :
Physics · Heat and Thermodynamics · MCQ
Q59.An infinite wire has a circular bend of radius a, and carrying a current I as shown in the figure. The magnitude of magnetic field at the origin O of the arc is given by: Includes diagram
Physics · Magnetics · MCQ
Q60.The frequency of revolution of the electron in Bohr's orbit varies with n, the principal quantum number as:
Physics · Atoms and Nuclei · MCQ
Q61.Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth is 11.2 km/s, the escape velocity in km/s from the planet will be:
Physics · Gravitation · MCQ
Q62.Which of the following phenomena cannot be explained by wave theory of light?
Physics · Dual Nature of Radiation · MCQ
Q63.A body of mass 4 kg is placed on a plane at a point $P$ having coordinate $(3, 4) m$ . Under the action of force $F = (2 \hat{i} + 3 \hat{j}) N$ , it moves to a new point Q having coordinates $(6, 10) m$ …
Physics · Work Power and Energy · MCQ
Q64.Match List - I with List - II. Choose the correct answer from the options given below: Includes table
Physics · Units and Measurements · MCQ
Q65.A bar magnet has total length $2 l = 20$ units and the field point P is at a distance $d = 10$ units from the centre of the magnet. If the relative uncertainty of length measurement is $1%$ , then uncertainty of the magnetic field at… Includes diagram
Physics · Magnetic Properties of Matter · Multiple correct
Q66.In a long glass tube, mixture of two liquids A and B with refractive indices 1.3 and 1.4 respectively, forms a convex refractive meniscus towards A . If an object placed at 13 cm from the vertex of the meniscus in A forms an image with a…
Physics · Geometrical Optics · MCQ
Q67.The kinetic energy of translation of the molecules in 50 g of $CO_{2}$ gas at 17°C is :
Physics · Heat and Thermodynamics · MCQ
Q68.A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? (Given: density of water = 1000 kg m-3)
Physics · Properties of Matter · MCQ
Q69.Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Knowing initial position $x_{0}$ and initial momentum $p_{0}$ is enough to determine the position and momentum…
Physics · Simple Harmonic Motion · MCQ
Q70.A parallel plate capacitor of capacitance 1 µF is charged to a potential difference of 20 V. The distance between plates is 1 µm. The energy density between plates of capacitor is :
Physics · Capacitor · MCQ
Q71.A thin transparent film with refractive index 1.4 , is held on circular ring of radius 1.8 cm . The fluid in the film evaporates such that transmission through the film at wavelength 560 nm goes to a minimum every 12 seconds. Assuming that…
Physics · Wave Optics · Numerical
Q72.The volume contraction of a solid copper cube of edge length 10 cm , when subjected to a hydraulic pressure of $7 \times 1 0^{6} Pa$ , would be $mm^{3}$ . (Given bulk modulus of copper $= 1.4 \times 1 0^{11} N m^{- 2}$ …
Physics · Properties of Matter · Numerical
Q73.An electric dipole of dipole moment $6 \times 1 0^{- 6} Cm$ is placed in uniform electric field of magnitude $1 0^{6} V / m$ . Initially, the dipole moment is parallel to electric field. The work that needs to be…
Physics · Electrostatics · Numerical
Q74.The value of current I in the electrical circuit as given below, when potential at A is equal to the potential at B, will be A. Includes diagram
Physics · Current Electricity · Numerical
Q75.A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field B exists into the page. The bar starts to move from the vertex at time t = 0 with a constant velocity. If the induced EMF is E ∝ tn, then… Includes diagram
Physics · Electromagnetic Induction · Numerical