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2025 · 4 Apr · Shift 2

75 questions · JEE Main

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2025 · 4 Apr · Shift 2

2025 · 4 Apr · Shift 2

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

Chemical Bonding and Molecular StructureChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 2 questions Practical Organic ChemistryChemistry · 2 questions P Block ElementsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Structure of AtomChemistry · 1 questions SolutionsChemistry · 2 questions Basics of Organic ChemistryChemistry · 3 questions Periodic Table and PeriodicityChemistry · 2 questions Coordination CompoundsChemistry · 3 questions ThermodynamicsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 2 questions BiomoleculesChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 2 questions Sets and RelationsMathematics · 1 questions FunctionsMathematics · 1 questions StatisticsMathematics · 1 questions HyperbolaMathematics · 1 questions Application of DerivativesMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Differential EquationsMathematics · 1 questions Sequences and SeriesMathematics · 2 questions EllipseMathematics · 2 questions ParabolaMathematics · 2 questions Complex NumbersMathematics · 2 questions Binomial TheoremMathematics · 1 questions 3D GeometryMathematics · 2 questions Inverse Trigonometric FunctionsMathematics · 1 questions Definite IntegrationMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions ProbabilityMathematics · 1 questions Vector AlgebraMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Geometrical OpticsPhysics · 1 questions Atoms and NucleiPhysics · 2 questions WavesPhysics · 1 questions ElectrostaticsPhysics · 1 questions Circular MotionPhysics · 2 questions Units and MeasurementsPhysics · 2 questions Motion in A Straight LinePhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions GravitationPhysics · 1 questions Properties of MatterPhysics · 1 questions CapacitorPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Wave OpticsPhysics · 2 questions Current ElectricityPhysics · 2 questions Electronic DevicesPhysics · 1 questions Rotational MotionPhysics · 1 questions Alternating CurrentPhysics · 1 questions MagneticsPhysics · 1 questions

Q1.Given below are two statements: Statement (I): For , all three possible structures may be drawn as follows. Statement (II): Structure III is most stable, as the orbitals having the lone pairs are axial, where the lp – bp repulsion is… Includes diagram
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.Consider the following plots of $lo g$ of rate constant $k (lo g k)$ vs $\frac{1}{T}$ for three different reactions. The correct order of activation energies of these reactions is : Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q3.Match List - I with List - II Choose the correct answer from the options given below : Includes table
Chemistry · Practical Organic Chemistry · MCQ
Q4.Given below are two statements : Statement (I) : The first ionisation enthalpy of group 14 elements is higher than the corresponding elements of group 13. Statement (II) : Melting points and boiling points of group 13 elements are in…
Chemistry · P Block Elements · MCQ
Q5.Which among the following compounds give yellow solid when reacted with $NaOI / NaOH$ ? Choose the correct answer from the options given below : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q6.Consider the ground state of chromium atom $(Z = 24)$ . How many electrons are with Azimuthal quantum number $l = 1$ and $l = 2$ respectively ?
Chemistry · Structure of Atom · MCQ
Q7.Given below are two statements: Statement (I) : Molal depression constant $K_{f}$ is given by $\frac{M _{1} RT _{f}}{Δ S _{fus}}$ , where symbols have their usual meaning. Statement (II) : $K_{f}$ …
Chemistry · Solutions · MCQ
Q8.The IUPAC name of the following compound is: Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q9.Half life of zero order reaction $A \to$ product is 1 hour, when initial concentration of reactant is $2.0 mol L^{- 1}$ . The time required to decrease concentration of A from 0.50 to $0.25 mol L^{- 1}$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q10.The incorrect relationship in the following pairs in relation to ionisation enthalpies is :
Chemistry · Periodic Table and Periodicity · MCQ
Q11.A toxic compound " A " when reacted with NaCN in aqueous acidic medium yields an edible cooking component and food preservative " B ". " B " is converted to " C " by diborane and can be used as an additive to petrol to reduce emission. "C"…
Chemistry · Practical Organic Chemistry · MCQ
Q12.In which pairs, the first ion is more stable than the second? Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q13.' $X$ ' is the number of electrons in $t_{2 g}$ orbitals of the most stable complex ion among $[Fe (NH_{3})_{6}]^{3 +}, [FeCl_{6}]^{3 -}, [Fe (C_{2} O_{4})_{3}]^{3 -}$ …
Chemistry · Coordination Compounds · MCQ
Q14.The correct order of basicity for the following molecules is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q15.Consider the given data : (a) $HCl (g) + 10 H_{2} O (l) \to HCl .10 H_{2} O Δ H = - 69.01 kJ mol^{- 1}$ (b) $HCl (g) + 40 H_{2} O (l) \to HCl .40 H_{2} O Δ H = - 72.79 kJ mol^{- 1}$ …
Chemistry · Thermodynamics · MCQ
Q16.Consider the following molecule(X). The major product formed when the given molecule $(X)$ is treated with $HBr (1 eq)$ is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q17.The correct order of $[FeF_{6}]^{3 -}, [CoF_{6}]^{3 -}, [Ni (CO)_{4}]$ and $[Ni (CN)_{4}]^{2 -}$ complex species based on the number of unpaired electrons…
Chemistry · Coordination Compounds · MCQ
Q18.Given below are two statements : Statement (I) : Alcohols are formed when alkyl chlorides are treated with aqueous potassium hydroxide by elimination reaction. Statement (II) : In alcoholic potassium hydroxide, alkyl chlorides form alkenes…
Chemistry · Haloalkanes and Haloarenes · MCQ
Q19.A dipeptide, " $x$ " on complete hydrolysis gives " $y$ " and " $z$ ". " $y$ " on treatment with aq. $HNO_{2}$ produces lactic acid. On the other hand " z " on heating gives the following cyclic molecule. Based on the information given,… Includes diagram
Chemistry · Biomolecules · MCQ
Q20.The elements of Group 13 with highest and lowest first ionisation enthalpies are respectively :
Chemistry · Periodic Table and Periodicity · MCQ
Q21.Sea water, which can be considered as a 6 molar $(6 M)$ solution of NaCl , has a density of $2 g mL^{- 1}$ . The concentration of dissolved oxygen $(O_{2})$ in sea water is 5.8 ppm . Then the…
Chemistry · Solutions · Numerical
Q22.The amount of calcium oxide produced on heating 150 kg limestone ( $75%$ pure) is kg. (Nearest integer) Given: Molar mass (in $g mol^{- 1}$ ) of $C a$ -40, $O$ -16, $C$ -12
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q23.A metal complex with a formula $MCl_{4} \cdot 3 NH_{3}$ is involved in $sp^{3} d^{2}$ hybridisation. It upon reaction with excess of $AgNO_{3}$ solution gives ' $x$ ' moles of AgCl . Consider ' $x$ ' is…
Chemistry · Coordination Compounds · Numerical
Q24.The molar conductance of an infinitely dilute solution of ammonium chloride was found to be $185 S cm^{2} mol^{- 1}$ and the ionic conductance of hydroxyl and chloride ions are 170 and $70 S cm^{2} mol^{- 1}$ …
Chemistry · Ionic Equilibrium · Numerical
Q25. $x mg$ of $Mg (OH)_{2} ($ molar mass $= 58)$ is required to be dissolved in 1.0 L of water to produce a pH of 10.0 at 298 K . The value of $x$ is mg. (Nearest integer) (Given : $Mg (OH)_{2}$ …
Chemistry · Ionic Equilibrium · Numerical
Q26.Let $A = {- 3, - 2, - 1, 0, 1, 2, 3}$ and R be a relation on A defined by $x R y$ if and only if $2 x - y \in {0, 1}$ . Let $l$ be the number of elements in $R$ . Let $m$ and $n$ be the minimum number of elements required to be added…
Mathematics · Sets and Relations · MCQ
Q27.Let the domains of the functions $f (x) = lo g_{4} lo g_{3} lo g_{7} (8 - lo g_{2} (x^{2} + 4 x + 5))$ and $g (x) = sin^{- 1} (\frac{7 x + 10}{x - 2})$ be $(α, β)$ and $[γ, δ]$ , respectively. Then $α^{2} + β^{2} + γ^{2} + δ^{2}$ …
Mathematics · Functions · MCQ
Q28.Let the mean and the standard deviation of the observation $2, 3, 3, 4, 5, 7, a, b$ be 4 and $2$ respectively. Then the mean deviation about the mode of these observations is :
Mathematics · Statistics · MCQ
Q29.Let the sum of the focal distances of the point $P (4, 3)$ on the hyperbola $H : \frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ be $8 \frac{5}{3}$ . If for H , the length of the latus rectum is $l$ and the…
Mathematics · Hyperbola · MCQ
Q30.Let $a > 0$ . If the function $f (x) = 6 x^{3} - 45 a x^{2} + 108 a^{2} x + 1$ attains its local maximum and minimum values at the points $x_{1}$ and $x_{2}$ respectively such that $x_{1} x_{2} = 54$ , then $a + x_{1} + x_{2}$ is equal…
Mathematics · Application of Derivatives · MCQ
Q31.Let the matrix $A = 110001010$ satisfy $A^{n} = A^{n - 2} + A^{2} - I$ for $n ⩾ 3$ . Then the sum of all the elements of $A^{50}$ is :
Mathematics · Matrices and Determinants · MCQ
Q32.If a curve $y = y (x)$ passes through the point $(1, \frac{π}{2})$ and satisfies the differential equation $(7 x^{4} cot y - e^{x} cosec y) \frac{d x}{d y} = x^{5}, x \geq 1$ , then at $x = 2$ …
Mathematics · Differential Equations · MCQ
Q33.If the sum of the first 20 terms of the series $\frac{4 \cdot 1}{4 + 3 \cdot 1 ^{2} + 1 ^{4}} + \frac{4 \cdot 2}{4 + 3 \cdot 2 ^{2} + 2 ^{4}} + \frac{4 \cdot 3}{4 + 3 \cdot 3 ^{2} + 3 ^{4}} + \frac{4 \cdot 4}{4 + 3 \cdot 4 ^{2} + 4 ^{4}} + \dots \cdot$ is…
Mathematics · Sequences and Series · MCQ
Q34.Let for two distinct values of p the lines $y = x + p$ touch the ellipse $E : \frac{x ^{2}}{4 ^{2}} + \frac{y ^{2}}{3 ^{2}} = 1$ at the points A and B . Let the line $y = x$ intersect E at the points C and D . Then the area of the quadrilateral…
Mathematics · Ellipse · MCQ
Q35.The centre of a circle C is at the centre of the ellipse $E : \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1, a > b$ . Let C pass through the foci $F_{1}$ and $F_{2}$ of E such that the circle $C$ and the…
Mathematics · Ellipse · MCQ
Q36.A line passing through the point $A (- 2, 0)$ , touches the parabola $P : y^{2} = x - 2$ at the point $B$ in the first quadrant. The area, of the region bounded by the line $A B$ , parabola $P$ and the $x$ -axis, is :
Mathematics · Parabola · MCQ
Q37.Let the product of $ω_{1} = (8 + i) sin θ + (7 + 4 i) cos θ$ and $ω_{2} = (1 + 8 i) sin θ + (4 + 7 i) cos θ$ be $α + i β$ , $i = - 1$ . Let p and q be the maximum and the minimum values of $α + β$ …
Mathematics · Complex Numbers · MCQ
Q38.If $1^{2} \cdot (^{15} C_{1}) + 2^{2} \cdot (^{15} C_{2}) + 3^{2} \cdot (^{15} C_{3}) + \dots + 1 5^{2} \cdot (^{15} C_{15}) = 2^{m} \cdot 3^{n} \cdot 5^{k}$ , where $m, n, k \in N$ , then $m + n + k$ …
Mathematics · Binomial Theorem · MCQ
Q39.Let A be the point of intersection of the lines $L_{1} : \frac{x - 7}{1} = \frac{y - 5}{0} = \frac{z - 3}{- 1}$ and $L_{2} : \frac{x - 1}{3} = \frac{y + 3}{4} = \frac{z + 7}{5}$ . Let B and C be the points on the lines $L_{1}$ and $L_{2}$ …
Mathematics · 3D Geometry · MCQ
Q40.The sum of the infinite series $cot^{- 1} (\frac{7}{4}) + cot^{- 1} (\frac{19}{4}) + cot^{- 1} (\frac{39}{4}) + cot^{- 1} (\frac{67}{4}) + \dots$ . is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q41.The axis of a parabola is the line $y = x$ and its vertex and focus are in the first quadrant at distances $2$ and $22$ units from the origin, respectively. If the point $(1, k)$ lies on the parabola, then a possible value of…
Mathematics · Parabola · MCQ
Q42.Let $f (x) + 2 f (\frac{1}{x}) = x^{2} + 5$ and $2 g (x) - 3 g (\frac{1}{2}) = x, x > 0$ . If $α = \int_{1}^{2} f (x) d x$ , and $β = \int_{1}^{2} g (x) d x$ , then the value of $9 α + β$ is :
Mathematics · Definite Integration · MCQ
Q43.Consider two sets A and B, each containing three numbers in A.P. Let the sum and the product of the elements of A be 36 and p respectively and the sum and the product of the elements of B be 36 and $q$ respectively. Let d and D be the…
Mathematics · Sequences and Series · MCQ
Q44.Let the values of p , for which the shortest distance between the lines $\frac{x + 1}{3} = \frac{y}{4} = \frac{z}{5}$ and $r = (p \hat{i} + 2 \hat{j} + \hat{k}) + λ (2 \hat{i} + 3 \hat{j} + 4 \hat{k})$ is $\frac{1}{6}$ …
Mathematics · 3D Geometry · MCQ
Q45.Let $f$ be a differentiable function on $R$ such that $f (2) = 1, f^{'} (2) = 4$ . Let $x \to 0 lim (f (2 + x))^{3/ x} = e^{α}$ . Then the number of times the curve $y = 4 x^{3} - 4 x^{2} - 4 (α - 7) x - α$ meets…
Mathematics · Limits Continuity and Differentiability · MCQ
Q46.If $\int \frac{( 1 + x ^{2} + x ) ^{10}}{( 1 + x ^{2} - x ) ^{9}} d x = \frac{1}{m} ((1 + x^{2} + x)^{n} (n 1 + x^{2} - x)) + C$ where C is the…
Mathematics · Indefinite Integrals · Numerical
Q47.A card from a pack of 52 cards is lost. From the remaining 51 cards, n cards are drawn and are found to be spades. If the probability of the lost card to be a spade is $\frac{11}{50}$ , then n is equal to .
Mathematics · Probability · Numerical
Q48.Let the three sides of a triangle ABC be given by the vectors $2 \hat{i} - \hat{j} + \hat{k}, \hat{i} - 3 \hat{j} - 5 \hat{k}$ and $3 \hat{i} - 4 \hat{j} - 4 \hat{k}$ . Let $G$ be the centroid of the triangle $A B C$ . Then $6 (∣ AG ∣^{2} + ∣ BG ∣^{2} + ∣ CG ∣^{2})$ …
Mathematics · Vector Algebra · Numerical
Q49.If $α$ is a root of the equation $x^{2} + x + 1 = 0$ and $\sum_{k = 1}^{n} (α^{k} + \frac{1}{α ^{k}})^{2} = 20$ , then n is equal to .
Mathematics · Complex Numbers · Numerical
Q50.Let m and $n, (m < n)$ , be two 2-digit numbers. Then the total numbers of pairs $(m, n)$ , such that $gcd (m, n) = 6$ , is .
Mathematics · Permutations and Combinations · Numerical
Q51.A finite size object is placed normal to the principal axis at a distance of 30 cm from a convex mirror of focal length 30 cm . A plane mirror is now placed in such a way that the image produced by both the mirrors coincide with each…
Physics · Geometrical Optics · MCQ
Q52.A radioactive material $P$ first decays into $Q$ and then $Q$ decays to non-radioactive material $R$ . Which of the following figure represents time dependent mass of $R$ and $R$ ?
Physics · Atoms and Nuclei · MCQ
Q53.Displacement of a wave is expressed as $x (t) = 5 cos (628 t + \frac{π}{2}) m$ . The wavelength of the wave when its velocity is $300 m / s$ is : $(π = 3.14)$
Physics · Waves · MCQ
Q54.A metallic ring is uniformly charged as shown in figure. AC and BD are two mutually perpendicular diameters. Electric field due to arc $A B$ at ' $O$ ' is ' $E$ ' in magnitude. What would be the magnitude of electric field at ' O ' due to arc… Includes diagram
Physics · Electrostatics · MCQ
Q55.A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim is $8 m / s$ . The speed of the particle on the rim of the wheel at the same level as the centre of wheel, will be :
Physics · Circular Motion · MCQ
Q56.In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of $[M^{P} L^{Q} T^{R} A^{S}]$ . The value of P…
Physics · Units and Measurements · MCQ
Q57.The displacement x versus time graph is shown below. (A) The average velocity during 0 to 3 s is $10 m / s$ (B) The average velocity during 3 to 5 s is $0 m / s$ (C) The instantaneous velocity at $t = 2 s$ … Includes diagram
Physics · Motion in A Straight Line · MCQ
Q58.Consider a rectangular sheet of solid material of length $l = 9 cm$ and width $d = 4 cm$ . The coefficient of linear expansion is $α = 3.1 \times 1 0^{- 5} K^{- 1}$ at room temperature and one atmospheric…
Physics · Heat and Thermodynamics · MCQ
Q59.An object is kept at rest at a distance of $3 R$ above the earth's surface where $R$ is earth's radius. The minimum speed with which it must be projected so that it does not return to earth is : (Assume $M =$ mass of earth, $G =$ …
Physics · Gravitation · MCQ
Q60.A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear force of $1 0^{5} N$ at the top. Considering infinitesimally small displacement in the upper edge, the angular displacement $θ$ …
Physics · Properties of Matter · MCQ
Q61.For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal divisions equals to 15 cm . The vernier scale attached to the microscope has 25 divisions equals to 24 divisions…
Physics · Units and Measurements · MCQ
Q62.Three parallel plate capacitors $C_{1}, C_{2}$ and $C_{3}$ each of capacitance $5 μ F$ are connected as shown in figure. The effective capacitance between points $A$ and $B$ , when the space between the parallel plates of $C_{1}$ … Includes diagram
Physics · Capacitor · MCQ
Q63.A block of mass 25 kg is pulled along a horizontal surface by a force at an angle $4 5^{\circ}$ with the horizontal. The friction coefficient between the block and the surface is 0.25 . The block travels at a uniform velocity. The work done…
Physics · Work Power and Energy · MCQ
Q64.There are two vessels filled with an ideal gas where volume of one is double the volume of other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kPa at 500 K . If the vessels are…
Physics · Heat and Thermodynamics · MCQ
Q65.Two polarisers $P_{1}$ and $P_{2}$ are placed in such a way that the intensity of the transmitted light will be zero. A third polariser $P_{3}$ is inserted in between $P_{1}$ and $P_{2}$ , at particular angle between $P_{2}$ and $P_{3}$ . The transmitted…
Physics · Wave Optics · MCQ
Q66.Match List - I with List - II. $Δ W =$ Heat supplied $Δ U =$ Work done by the system $P =$ Change in internal energy $P =$ Pressure of the system $Δ V =$ Change in volume of the system Choose the… Includes table
Physics · Heat and Thermodynamics · MCQ
Q67.There are ' $n$ ' number of identical electric bulbs, each is designed to draw a power $p$ independently from the mains supply. They are now joined in series across the mains supply. The total power drawn by the combination is :
Physics · Current Electricity · MCQ
Q68.From the combination of resistors with resistances values $R_{1} = R_{2} = R_{3} = 5Ω$ and $R_{4} = 10Ω$ , which of the following combination is the best circuit to get an equivalent resistance of $6Ω$ ?
Physics · Current Electricity · MCQ
Q69.Consider a n-type semiconductor in which $n_{e}$ and $n_{h}$ are number of electrons and holes, respectively. (A) Holes are minority carriers (B) The dopant is a pentavalent atom (C) $n_{e} n_{h} e q n_{i}^{2}$ …
Physics · Electronic Devices · MCQ
Q70.Given below are two statements : Statement (I) : The dimensions of Planck's constant and angular momentum are same. Statement (II) : In Bohr's model electron revolve around the nucleus only in those orbits for which angular momentum is…
Physics · Atoms and Nuclei · MCQ
Q71.A solid sphere with uniform density and radius $R$ is rotating initially with constant angular velocity $(ω_{1})$ about its diameter. After some time during the rotation its starts loosing mass at a uniform rate, with no…
Physics · Rotational Motion · Numerical
Q72.An inductor of self inductance 1 H is connected in series with a resistor of $100 π$ ohm and an ac supply of $100 π$ volt, 50 Hz . Maximum current flowing in the circuit is A.
Physics · Alternating Current · Numerical
Q73.If an optical medium possesses a relative permeability of $\frac{10}{π}$ and relative permittivity of $\frac{1}{0.0885}$ , then the velocity of light is greater in vacuum than that in this medium by times. $(μ_{0} = 4 π \times 1 0^{- 7} H / m, ϵ_{0} = 8.85 \times 1 0^{- 12} F / m, c = 3 \times 1 0^{8} m / s)$ …
Physics · Magnetics · Numerical
Q74.A particle of charge $1.6 μ C$ and mass $16 μ g$ is present in a strong magnetic field of 6.28 T . The particle is then fired perpendicular to magnetic field. The time required for the particle to return to original…
Physics · Circular Motion · Numerical
Q75.In a Young's double slit experiment, two slits are located 1.5 mm apart. The distance of screen from slits is 2 m and the wavelength of the source is 400 nm . If the 20 maxima of the double slit pattern are contained within the central…
Physics · Wave Optics · Numerical