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2025 · 7 Apr · Shift 1

75 questions · JEE Main

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2025 · 7 Apr · Shift 1

2025 · 7 Apr · Shift 1

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

Ionic EquilibriumChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 2 questions ThermodynamicsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Salt AnalysisChemistry · 3 questions Chemical Bonding and Molecular StructureChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions Gaseous StateChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions BiomoleculesChemistry · 1 questions Structure of AtomChemistry · 1 questions HydrocarbonsChemistry · 2 questions Coordination CompoundsChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 2 questions ElectrochemistryChemistry · 1 questions Permutations and CombinationsMathematics · 1 questions CircleMathematics · 1 questions ParabolaMathematics · 1 questions StatisticsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Differential EquationsMathematics · 1 questions Matrices and DeterminantsMathematics · 3 questions Binomial TheoremMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Complex NumbersMathematics · 1 questions Definite IntegrationMathematics · 1 questions 3D GeometryMathematics · 2 questions Area Under the CurvesMathematics · 1 questions Application of DerivativesMathematics · 1 questions Vector AlgebraMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Sets and RelationsMathematics · 2 questions HyperbolaMathematics · 1 questions ElectrostaticsPhysics · 2 questions Magnetic Properties of MatterPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Center of MassPhysics · 1 questions Alternating CurrentPhysics · 2 questions WavesPhysics · 1 questions MagneticsPhysics · 2 questions Current ElectricityPhysics · 1 questions Properties of MatterPhysics · 1 questions Wave OpticsPhysics · 1 questions Motion in A PlanePhysics · 1 questions Atoms and NucleiPhysics · 2 questions Geometrical OpticsPhysics · 3 questions Electronic DevicesPhysics · 1 questions Laws of MotionPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Rotational MotionPhysics · 1 questions

Q1.An aqueous solution of HCl with pH 1.0 is diluted by adding equal volume of water (ignoring dissociation of water). The pH of HCl solution would $($ Given $lo g 2 = 0.30)$
Chemistry · Ionic Equilibrium · MCQ
Q2.A person's wound was exposed to some bacteria and then bacterial growth started to happen at the same place. The wound was later treated with some antibacterial medicine and the rate of bacterial decay(r) was found to be proportional with…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q3.Total enthalpy change for freezing of 1 mol of water at $1 0^{\circ} C$ to ice at $- 1 0^{\circ} C$ is (Given: $Δ_{fus} H = x kJ / mol$ $C_{p} [H_{2} O (l)] = y J mol^{- 1} K^{- 1} C_{p} [H_{2} O (s)] = z J mol^{- 1} K^{- 1}$ …
Chemistry · Thermodynamics · MCQ
Q4.Which of the following amine (s) show (s) positive carbylamine test? B. $(CH_{3})_{2} NH$ C. $CH_{3} NH_{2}$ D. $(CH_{3})_{3} N$ Choose the correct answer from the options… Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q5.Which of the following compounds is least likely to give effervescence of $CO_{2}$ in presence of aq. $NaHCO_{3} ?$
Chemistry · Salt Analysis · MCQ
Q6.Match the List I with List II. Choose the correct answer from the options given below: Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q7.The first transition series metal ' $M$ ' has the highest enthalpy of atomisation in its series. One of its aquated ion $(M^{n +})$ exists in green colour. The nature of the oxide formed by the above $M^{n +}$ …
Chemistry · D and F Block Elements · MCQ
Q8.The number of valence electrons present in the metal among $Cr, Co, Fe$ and Ni which has the lowest enthalpy of atomisation is :
Chemistry · Periodic Table and Periodicity · MCQ
Q9.Which of the following is the correct IUPAC name of given organic compound (X)? Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q10.At the sea level, the dry air mass percentage composition is given as nitrogen gas: 70.0 , oxygen gas: 27.0 and argon gas: 3.0 . If total pressure is 1.15 atm , then calculate the ratio of following respectively: (i) partial pressure of…
Chemistry · Gaseous State · MCQ
Q11.Given below are two statements : Statement I : Dimethyl ether is completely soluble in water. However, diethyl ether is soluble in water to a very small extent. Statement II : Sodium metal can be used to dry diethyl ether and not ethyl…
Chemistry · Alcohols Phenols and Ethers · MCQ
Q12.Given below are two statements : Statement I : Mohr's salt is composed of only three types of ions-ferrous, ammonium and sulfate. Statement II : If the molar conductance at infinite dilution for ferrous, ammonium and sulfate ions are $x_{1}, x_{2}$ …
Chemistry · Salt Analysis · MCQ
Q13.Given below are two statements: Statement I: D-(+)-glucose + D-(+) fructose $- H_{2} O$ Sucrose $sucrose hydrolysis D - (+) glucose + D - (+) fructose$ …
Chemistry · Biomolecules · MCQ
Q14.Which of the following statements are correct, if the threshold frequency of caesium is $5.16 \times 1 0^{14} Hz$ ? A. When Cs is placed inside a vacuum chamber with an ammeter connected to it and yellow light is focused on Cs ,… Includes diagram
Chemistry · Structure of Atom · MCQ
Q15.The group 14 elements $A$ and $B$ have the first ionisation enthalpy values of 708 and $715 kJ mol^{- 1}$ respectively. The above values are lowest among their group members. The nature of their ions $A^{2 +}$ …
Chemistry · Periodic Table and Periodicity · MCQ
Q16.The reactions which cannot be applied to prepare an alkene by elimination, are Choose the correct answer from the options given below: Includes diagram
Chemistry · Hydrocarbons · MCQ
Q17.When a salt is treated with sodium hydroxide solution it gives gas X . On passing gas X through reagent Y a brown coloured precipitate is formed. X and Y respectively, are
Chemistry · Salt Analysis · MCQ
Q18.Reaction $A (g) \to 2 B (g) + C (g)$ is a first order reaction. It was started with pure A Which of the following option is incorrect? Includes table
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q19.An octahedral complex having molecular composition $Co \cdot 5 NH_{3} \cdot Cl^{2} . SO_{4}$ has two isomers A and B. The solution of A gives a white precipitate with $AgNO_{3}$ solution and the…
Chemistry · Coordination Compounds · MCQ
Q20.Given below are two statements: Statement I : Ozonolysis followed by treatment with $Zn, H_{2} O$ of cis-2-butene gives ethanal. Statement II : The product obtained by ozonolysis followed by treatment with $Zn, H_{2} O$ …
Chemistry · Hydrocarbons · MCQ
Q21.An organic compound weighing 500 mg , produced 220 mg of $CO_{2}$ , on complete combustion. The percentage composition of carbon in the compound is $%$ . (nearest integer) (Given molar mass in $g mol^{- 1}$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q22.The number of paramagnetic complexes among $[FeF_{6}]^{3 -}, [Fe (CN)_{6}]^{3 -}, [Mn (CN)_{6}]^{3 -}$ , $[Co (C_{2} O_{4})_{3}]^{3 -}, [MnCl_{6}]^{3 -}$ …
Chemistry · Coordination Compounds · Numerical
Q23.1 Faraday electricity was passed through $Cu^{2 +} (1.5 M, 1 L) / Cu$ and 0.1 Faraday was passed through $Ag^{+} (0.2 M, 1 L) / Ag$ electrolytic cells. After this the… Includes diagram
Chemistry · Electrochemistry · Numerical
Q24.The percentage dissociation of a salt $(MX_{3})$ solution at given temperature (van't Hoff factor $i = 2$ ) is %(Nearest integer)
Chemistry · Ionic Equilibrium · Numerical
Q25.Thyroxine, the hormone has given below structure The percentage of iodine in thyroxine is %. (nearest integer) (Given molar mass in $g mol^{- 1} C : 12, H : 1, O : 16, N : 14, I : 127$ … Includes diagram
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q26.From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and atleast 4 bowlers. One batsmen and one bowler who are captain and vice-captain respectively of the team should be…
Mathematics · Permutations and Combinations · MCQ
Q27.Let $C_{1}$ be the circle in the third quadrant of radius 3 , that touches both coordinate axes. Let $C_{2}$ be the circle with centre $(1, 3)$ that touches $C_{1}$ externally at the point $(α, β)$ . If $(β - α)^{2} = \frac{m}{n}$ …
Mathematics · Circle · MCQ
Q28.Let P be the parabola, whose focus is $(- 2, 1)$ and directrix is $2 x + y + 2 = 0$ . Then the sum of the ordinates of the points on P, whose abscissa is $-$ 2, is
Mathematics · Parabola · MCQ
Q29.The mean and standard deviation of 100 observations are 40 and 5.1 , respectively. By mistake one observation is taken as 50 instead of 40 . If the correct mean and the correct standard deviation are $μ$ and $σ$ respectively, then $10 (μ + σ)$ …
Mathematics · Statistics · MCQ
Q30.Let ABC be the triangle such that the equations of lines AB and AC be $3 y - x = 2$ and $x + y = 2$ , respectively, and the points B and C lie on $x$ -axis. If P is the orthocentre of the triangle ABC , then the area of the triangle PBC is equal to
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q31. $lim_{x \to 0^{+}} \frac{t a n ( 5 ( x ) ^{\frac{1}{3}} ) l o g _{e} ( 1 + 3 x ^{2} )}{( t a n ^{- 1} 3 x ) ^{2} ( e ^{5 (x)^{\frac{4}{3}}} - 1 )}$ is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q32.Let $y = y (x)$ be the solution curve of the differential equation $x (x^{2} + e^{x}) d y + (e^{x} (x - 2) y - x^{3}) d x = 0, x > 0$ , passing through the point $(1, 0)$ . Then $y (2)$ is equal to :
Mathematics · Differential Equations · MCQ
Q33.Let $A$ be a $3 \times 3$ matrix such that $∣ adj (adj (adj A)) ∣ = 81$ . If $S = {n \in Z : (∣ adj (adj A) ∣)^{\frac{( n - 1 ) ^{2}}{2}} = ∣ A ∣^{(3 n^{2} - 5 n - 4)}}$ …
Mathematics · Matrices and Determinants · MCQ
Q34.The remainder when $((64)^{(64)})^{(64)}$ is divided by 7 is equal to
Mathematics · Binomial Theorem · MCQ
Q35.If for $θ \in [- \frac{π}{3}, 0]$ , the points $(x, y) = (3 tan (θ + \frac{π}{3}), 2 tan (θ + \frac{π}{6}))$ lie on $x y + α x + β y + γ = 0$ , then $α^{2} + β^{2} + γ^{2}$ …
Mathematics · Trigonometric Ratio and Identites · MCQ
Q36.Let the system of equations : $2 x + 3 y + 5 z = 9 7 x + 3 y - 2 z = 8 12 x + 3 y - (4 + λ) z = 16 - μ$ have infinitely many solutions. Then the radius of the circle centred at $(λ, μ)$ and…
Mathematics · Matrices and Determinants · MCQ
Q37.Let the set of all values of $p \in R$ , for which both the roots of the equation $x^{2} - (p + 2) x + (2 p + 9) = 0$ are negative real numbers, be the interval $(α, β]$ . Then $β - 2 α$ is equal to
Mathematics · Quadratic Equation and Inequalities · MCQ
Q38.Among the statements (S1) : The set ${z \in C - {- i} : ∣ z ∣ = 1$ and $\frac{z - i}{z + i}$ is purely real $}$ contains exactly two elements, and (S2) : The set ${z \in C - {- 1} : ∣ z ∣ = 1$ and $\frac{z - 1}{z + 1}$ …
Mathematics · Complex Numbers · MCQ
Q39.The integral $\int_{0}^{π} \frac{( x + 3 ) s i n x}{1 + 3 c o s ^{2} x} d x$ is equal to
Mathematics · Definite Integration · MCQ
Q40.Let the line L pass through $(1, 1, 1)$ and intersect the lines $\frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z - 1}{4}$ and $\frac{x - 3}{1} = \frac{y - 4}{2} = \frac{z}{1}$ . Then, which of the following points lies on the line $L$ ?
Mathematics · 3D Geometry · MCQ
Q41.If the area of the region bounded by the curves $y = 4 - \frac{x ^{2}}{4}$ and $y = \frac{x - 4}{2}$ is equal to $α$ , then $6 α$ . equals
Mathematics · Area Under the Curves · MCQ
Q42.If the shortest distance between the lines $\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4}$ and $\frac{x}{1} = \frac{y}{α} = \frac{z - 5}{1}$ is $\frac{5}{6}$ , then the sum of all possible values of $α$ is
Mathematics · 3D Geometry · MCQ
Q43.Let $x = - 1$ and $x = 2$ be the critical points of the function $f (x) = x^{3} + a x^{2} + b lo g_{e} ∣ x ∣ + 1, x e q 0$ . Let $m$ and M respectively be the absolute minimum and the absolute maximum values of $f$ in the interval $[- 2, - \frac{1}{2}]$ …
Mathematics · Application of Derivatives · MCQ
Q44.Let the angle $θ, 0 < θ < \frac{π}{2}$ between two unit vectors $\overset{a}{^}$ and $\hat{b}$ be $sin^{- 1} (\frac{65}{9})$ . If the vector $c = 3 \overset{a}{^} + 6 \hat{b} + 9 (\overset{a}{^} \times \hat{b})$ , then the value of…
Mathematics · Vector Algebra · MCQ
Q45.Let $x_{1}, x_{2}, x_{3}, x_{4}$ be in a geometric progression. If $2, 7, 9, 5$ are subtracted respectively from $x_{1}, x_{2}, x_{3}, x_{4}$ , then the resulting numbers are in an arithmetic progression. Then the value of $\frac{1}{24} (x_{1} x_{2} x_{3} x_{4})$ …
Mathematics · Sequences and Series · MCQ
Q46.The number of singular matrices of order 2 , whose elements are from the set ${2, 3, 6, 9}$ , is .
Mathematics · Matrices and Determinants · Numerical
Q47.The number of relations on the set $A = {1, 2, 3}$ , containing at most 6 elements including $(1, 2)$ , which are reflexive and transitive but not symmetric, is .
Mathematics · Sets and Relations · Numerical
Q48.The number of points of discontinuity of the function $f (x) = [\frac{x ^{2}}{2}] - [x], x \in [0, 4]$ , where $[\cdot]$ denotes the greatest integer function, is .
Mathematics · Limits Continuity and Differentiability · Numerical
Q49.For $n \geq 2$ , let $S_{n}$ denote the set of all subsets of ${1, 2, \dots, n}$ with no two consecutive numbers. For example ${1, 3, 5} \in S_{6}$ , but ${1, 2, 4} \in / S_{6}$ . Then $n (S_{5})$ is equal to
Mathematics · Sets and Relations · Numerical
Q50.Consider the hyperbola $\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ having one of its focus at $P (- 3, 0)$ . If the latus ractum through its other focus subtends a right angle at P and $a^{2} b^{2} = α 2 - β, α, β \in N$ …
Mathematics · Hyperbola · Numerical
Q51.If $ϵ_{0}$ denotes the permittivity of free space and $Φ_{E}$ is the flux of the electric field through the area bounded by the closed surface, then dimensions of $(ϵ_{0} \frac{d ϕ _{E}}{d t})$ are that of :
Physics · Electrostatics · MCQ
Q52.The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility $χ_{Mg} = 1.2 \times 1 0^{- 5}$ ) is :
Physics · Magnetic Properties of Matter · MCQ
Q53.An object of mass 1000 g experiences a time dependent force $F = (2 t \hat{i} + 3 t^{2} \hat{j}) N$ . The power generated by the force at time $t$ is:
Physics · Work Power and Energy · MCQ
Q54.A rod of length 5 L is bent right angle keeping one side length as 2 L . The position of the centre of mass of the system : (Consider $L = 10 cm$ ) Includes diagram
Physics · Center of Mass · MCQ
Q55.An ac current is represented as $i = 52 + 10 cos (650 π t + \frac{π}{6}) A m p$ The r.m.s value of the current is
Physics · Alternating Current · MCQ
Q56.Two harmonic waves moving in the same direction superimpose to form a wave $x = a cos (1.5 t) cos (50.5 t)$ where t is in seconds. Find the period with which they beat. (close to nearest integer)
Physics · Waves · MCQ
Q57.A particle of charge $q$ , mass $m$ and kinetic energy $E$ enters in magnetic field perpendicular to its velocity and undergoes a circular arc of radius (r). Which of the following curves represents the variation of $r$ with $E$ ?
Physics · Magnetics · MCQ
Q58.A wire of resistance $R$ is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points $A$ and $B$ is $R / n$ . The value of $n$ is : Includes diagram
Physics · Current Electricity · MCQ
Q59.Two wires A and B are made of same material having ratio of lengths $\frac{L _{A}}{L _{B}} = \frac{1}{3}$ and their diameters ratio $\frac{d _{A}}{d _{B}} = 2$ . If both the wires are stretched using same force, what would be the ratio of their respective…
Physics · Properties of Matter · MCQ
Q60.Two plane polarized light waves combine at a certain point whose electric field components are $E_{1} = E_{0} Sin ω t E_{2} = E_{0} Sin (ω t + \frac{π}{3})$ …
Physics · Wave Optics · MCQ
Q61.Uniform magnetic fields of different strengths $(B_{1}$ and $B_{2})$ , both normal to the plane of the paper exist as shown in the figure. A charged particle of mass $m$ and charge $q$ , at the interface at an instant,… Includes diagram
Physics · Magnetics · MCQ
Q62.Two projectiles are fired from ground with same initial speeds from same point at angles $(4 5^{\circ} + α)$ and $(4 5^{\circ} - α)$ with horizontal direction. The ratio of their times of flights is
Physics · Motion in A Plane · MCQ
Q63.In a hydrogen like ion, the energy difference between the $2^{nd}$ excitation energy state and ground is 108.8 eV . The atomic number of the ion is:
Physics · Atoms and Nuclei · MCQ
Q64.Two thin convex lenses of focal lengths 30 cm and 10 cm are placed coaxially, 10 cm apart. The power of this combination is:
Physics · Geometrical Optics · MCQ
Q65.Two charges $q_{1}$ and $q_{2}$ are separated by a distance of 30 cm . A third charge $q_{3}$ initially at ' C ' as shown in the figure, is moved along the circular path of radius 40 cm from C to D . If the difference in potential energy due to… Includes diagram
Physics · Electrostatics · MCQ
Q66.A lens having refractive index 1.6 has focal length of 12 cm , when it is in air. Find the focal length of the lens when it is placed in water. (Take refractive index of water as 1.28)
Physics · Geometrical Optics · MCQ
Q67.For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is
Physics · Atoms and Nuclei · MCQ
Q68.In the following circuit, the reading of the ammeter will be $($ Take Zener breakdown voltage $= 4 V)$ Includes diagram
Physics · Electronic Devices · MCQ
Q69.A cubic block of mass $m$ is sliding down on an inclined plane at $6 0^{\circ}$ with an acceleration of $\frac{g}{2}$ , the value of coefficient of kinetic friction is
Physics · Laws of Motion · MCQ
Q70.Match the List I with List II Choose the correct answer from the options given below: Includes table
Physics · Heat and Thermodynamics · MCQ
Q71.A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the wire is $172 7^{\circ} C$ and power radiated by the wire is 94.2 W . Its emissivity is $\frac{x}{8}$ where $x =$ . (Given $σ = 6.0 \times 1 0^{- 8} W m^{- 2} K^{- 4}, π = 3.14$ …
Physics · Heat and Thermodynamics · Numerical
Q72. $\frac{x}{15} I$ and C are disc, solid sphere and spherical shell respectively with same radii and masses. These masses are placed as shown in figure. The moment of inertia of the given system about PQ axis is $\frac{x}{15} I$ … Includes diagram
Physics · Rotational Motion · Numerical
Q73.For ac circuit shown in figure, $R = 100 k Ω$ and $C = 100 pF$ and the phase difference between $V_{in}$ and $(V_{B} - V_{A})$ is $9 0^{\circ}$ … Includes diagram
Physics · Alternating Current · Numerical
Q74.A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is added to height H above first liquid. If viewed from above, the apparent shift in the position of bottom…
Physics · Geometrical Optics · Numerical
Q75.An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in the entire cycle is $\times 1 0^{- 1} J$ . (Take $π = 3.14$ ) Includes diagram
Physics · Heat and Thermodynamics · Numerical