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2025 · 23 Jan · Shift 1

75 questions · JEE Main

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2025 · 23 Jan · Shift 1

2025 · 23 Jan · Shift 1

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

Practical Organic ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions D and F Block ElementsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Coordination CompoundsChemistry · 3 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions P Block ElementsChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions BiomoleculesChemistry · 1 questions Ionic EquilibriumChemistry · 2 questions ThermodynamicsChemistry · 2 questions HydrocarbonsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Structure of AtomChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Differential EquationsMathematics · 1 questions 3D GeometryMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions FunctionsMathematics · 1 questions Vector AlgebraMathematics · 2 questions Inverse Trigonometric FunctionsMathematics · 1 questions ProbabilityMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Definite IntegrationMathematics · 1 questions StatisticsMathematics · 1 questions Complex NumbersMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions ParabolaMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Properties of TriangleMathematics · 1 questions Sets and RelationsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Application of DerivativesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions CircleMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Properties of MatterPhysics · 1 questions ElectrostaticsPhysics · 3 questions Geometrical OpticsPhysics · 3 questions Dual Nature of RadiationPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Rotational MotionPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Center of MassPhysics · 1 questions Electronic DevicesPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Current ElectricityPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Electromagnetic InductionPhysics · 2 questions CapacitorPhysics · 1 questions Vector AlgebraPhysics · 1 questions Work Power and EnergyPhysics · 1 questions

Q1.Given below are two statements: Statement I: In Lassaigne's test, the covalent organic molecules are transformed into ionic compounds. Statement II: The sodium fusion extract of an organic compound having N and S gives prussian blue colour…
Chemistry · Practical Organic Chemistry · MCQ
Q2.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
Q3.What amount of bromine will be required to convert 2 g of phenol into 2,4,6-tribromophenol? (Given molar mass in $g mol^{- 1}$ of $C, H, O, Br$ are $12, 1, 16, 80$ respectively )
Chemistry · Alcohols Phenols and Ethers · MCQ
Q4.The correct set of ions (aqueous solution) with same colour from the following is:
Chemistry · D and F Block Elements · MCQ
Q5. $FeO_{4}^{2 -} + 2.0 V Fe^{3 +} 0.8 V Fe^{2 +} - 0.5 V Fe^{0}$ In the above diagram, the standard electrode potentials are given in volts…
Chemistry · Electrochemistry · MCQ
Q6. $CrCl_{3} \cdot xNH_{3}$ can exist as a complex. 0.1 molal aqueous solution of this complex shows a depression in freezing point of $0.55 8^{\circ} C$ . Assuming $100%$ ionisation of this complex and coordination…
Chemistry · Coordination Compounds · MCQ
Q7.The major product of the following reaction is : $CH_{3} CH_{2} CH = O excess HCHO alkali reflux$ ?
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q8.Propane molecule on chlorination under photochemical condition gives two di-chloro products, " $x$ " and " $y$ ". Amongst " $x$ " and " $y$ ", " $x$ " is an optically active molecule. How many tri-chloro products (consider only structural isomers)…
Chemistry · Haloalkanes and Haloarenes · MCQ
Q9.The incorrect statement among the following is
Chemistry · P Block Elements · MCQ
Q10.The correct stability order of the following species/molecules is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q11. $2.8 \times 1 0^{- 3} mol$ of $CO_{2}$ is left after removing $1 0^{21}$ molecules from its ' $x$ ' mg sample. The mass of $CO_{2}$ taken initially is Given: $N_{A} = 6.02 \times 1 0^{23} mol^{- 1}$ …
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q12.Given below are two statements: Statement I: Fructose does not contain an aldehydic group but still reduces Tollen's reagent Statement II: In the presence of base, fructose undergoes rearrangement to give glucose. In the light of the above…
Chemistry · Biomolecules · MCQ
Q13.Which of the following happens when $NH_{4} OH$ is added gradually to the solution containing 1 M $A^{2 +}$ and $1 M B^{3 +}$ ions? Given : $K_{sp} [A (OH)_{2}] = 9 \times 1 0^{- 10}$ …
Chemistry · Ionic Equilibrium · MCQ
Q14.Ice at $- 5^{\circ} C$ is heated to become vapor with temperature of $11 0^{\circ} C$ at atmospheric pressure. The entropy change associated with this process can be obtained from
Chemistry · Thermodynamics · MCQ
Q15.Match the List - I with List - II Choose the correct answer from the options given below: Includes table
Chemistry · Hydrocarbons · MCQ
Q16.The element that does not belong to the same period of the remaining elements (modern periodic table) is:
Chemistry · Periodic Table and Periodicity · MCQ
Q17.The d-electronic configuration of an octahedral Co (II) complex having magnetic moment of 3.95 BM is:
Chemistry · Coordination Compounds · MCQ
Q18.The complex that shows Facial - Meridional isomerism is :
Chemistry · Coordination Compounds · MCQ
Q19.Heat treatment of muscular pain involves radiation of wavelength of about 900 nm . Which spectral line of H atom is suitable for this? Given : Rydberg constant $R_{H} = 1 0^{5} cm^{- 1}, h = 6.6 \times 1 0^{- 34} J s, c = 3 \times 1 0^{8} m / s)$ …
Chemistry · Structure of Atom · MCQ
Q20.Which among the following react with Hinsberg's reagent? A. B. $C. CH_{3} - NH_{2}$ D. $N (CH_{3})_{3}$ E. Choose the correct answer from the options given below : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q21.For the thermal decomposition of $N_{2} O_{5} (g)$ at constant volume, the following table can be formed, for the reaction mentioned below. $2 N_{2} O_{5} (g) \to 2 N_{2} O_{4} (g) + O_{2} (g)$ … Includes table
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q22.The standard enthalpy and standard entropy of decomposition of $N_{2} O_{4}$ to $NO_{2}$ are $55.0 kJ mol^{- 1}$ and $175.0 J / K / mol$ respectively. The standard free…
Chemistry · Thermodynamics · Numerical
Q23.If 1 mM solution of ethylamine produces $pH = 9$ , then the ionization constant $(K_{b})$ of ethylamine is $1 0^{- x}$ . The value of $x$ is (nearest integer). [The degree of…
Chemistry · Ionic Equilibrium · Numerical
Q24.Consider the following sequence of reactions to produce major product (A) $Molar mass of product (A) is g mol^{- 1} . (Given molar mass in g mol^{- 1} of C : 12, H : 1, O : 16, Br : 80, N : 14, P : 31)$ … Includes diagram
Chemistry · Compounds Containing Nitrogen · Numerical
Q25.During " S " estimation, 160 mg of an organic compound gives 466 mg of barium sulphate. The percentage of Sulphur in the given compound is %. (Given molar mass in $g mol^{- 1}$ of $Ba : 137, S : 32, O : 16$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q26.Let a curve $y = f (x)$ pass through the points $(0, 5)$ and $(lo g_{e} 2, k)$ . If the curve satisfies the differential equation $2 (3 + y) e^{2 x} d x - (7 + e^{2 x}) d y = 0$ , then $k$ is equal to
Mathematics · Differential Equations · MCQ
Q27.Let P be the foot of the perpendicular from the point $Q (10, - 3, - 1)$ on the line $\frac{x - 3}{7} = \frac{y - 2}{- 1} = \frac{z + 1}{- 2}$ . Then the area of the right angled triangle $P QR$ , where $R$ is the point $(3, - 2, 1)$ , is
Mathematics · 3D Geometry · MCQ
Q28.The number of words, which can be formed using all the letters of the word "DAUGHTER", so that all the vowels never come together, is :
Mathematics · Permutations and Combinations · MCQ
Q29.Let $f (x) = lo g_{e} x$ and $g (x) = \frac{x ^{4} - 2 x ^{3} + 3 x ^{2} - 2 x + 2}{2 x ^{2} - 2 x + 1}$ . Then the domain of $f \circ g$ is
Mathematics · Functions · MCQ
Q30.Let the position vectors of the vertices $\hat{i} + 2 \hat{j} + \hat{k}, \hat{i} + 3 \hat{j} - 2 \hat{k}$ and C of a tetrahedron ABCD be $\hat{i} + 2 \hat{j} + \hat{k}, \hat{i} + 3 \hat{j} - 2 \hat{k}$ and $2 \hat{i} + \hat{j} - \hat{k}$ …
Mathematics · Vector Algebra · MCQ
Q31.If $\frac{π}{2} \leq x \leq \frac{3 π}{4}$ , then $cos^{- 1} (\frac{12}{13} cos x + \frac{5}{13} sin x)$ is equal to
Mathematics · Inverse Trigonometric Functions · MCQ
Q32.One die has two faces marked 1 , two faces marked 2 , one face marked 3 and one face marked 4 . Another die has one face marked 1 , two faces marked 2 , two faces marked 3 and one face marked 4. The probability of getting the sum of…
Mathematics · Probability · MCQ
Q33.The value of $(sin 7 0^{\circ}) (cot 1 0^{\circ} cot 7 0^{\circ} - 1)$ is
Mathematics · Trigonometric Ratio and Identites · MCQ
Q34.If the function $f (x) = {\frac{2}{x} {sin (k_{1} + 1) x + sin (k_{2} - 1) x}, x 0$ is continuous at $x = 0$ , then $k_{1}^{2} + k_{2}^{2}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q35.If the system of equations $(λ - 1) x + (λ - 4) y + λ z = 5 λ x + (λ - 1) y + (λ - 4) z = 7 (λ + 1) x + (λ + 2) y - (λ + 2) z = 9$ has infinitely many solutions,…
Mathematics · Matrices and Determinants · MCQ
Q36.The value of $\int_{e^{2}}^{e^{4}} \frac{1}{x} (\frac{e ^{((l o g_{e} x)^{2} + 1)^{- 1}}}{e ^{((l o g_{e} x)^{2} + 1)^{- 1}} + e ^{((6 - l o g_{e} x)^{2} + 1)^{- 1}}}) d x$ is
Mathematics · Definite Integration · MCQ
Q37.Marks obtains by all the students of class 12 are presented in a freqency distribution with classes of equal width. Let the median of this grouped data be 14 with median class interval 12-18 and median class frequency 12. If the number of…
Mathematics · Statistics · MCQ
Q38.Let $\frac{z ˉ - i}{2 z ˉ + i} = \frac{1}{3}, z \in C$ , be the equation of a circle with center at $C$ . If the area of the triangle, whose vertices are at the points $(0, 0), C$ and $(α, 0)$ is 11 square units, then $α^{2}$ …
Mathematics · Complex Numbers · MCQ
Q39.Let $I (x) = \int \frac{d x}{( x - 11 ) ^{\frac{11}{13}} ( x + 15 ) ^{\frac{15}{13}}}$ . If $I (37) - I (24) = \frac{1}{4} (\frac{1}{b ^{\frac{1}{13}}} - \frac{1}{c ^{\frac{1}{13}}}), b, c \in N$ …
Mathematics · Indefinite Integrals · MCQ
Q40.If the line $3 x - 2 y + 12 = 0$ intersects the parabola $4 y = 3 x^{2}$ at the points $A$ and $B$ , then at the vertex of the parabola, the line segment AB subtends an angle equal to
Mathematics · Parabola · MCQ
Q41.If the first term of an A.P. is 3 and the sum of its first four terms is equal to one-fifth of the sum of the next four terms, then the sum of the first 20 terms is equal to
Mathematics · Sequences and Series · MCQ
Q42.Let the arc $A C$ of a circle subtend a right angle at the centre $O$ . If the point $B$ on the arc $A C$ , divides the arc $A C$ such that $\frac{length of arc A B}{length of arc B C} = \frac{1}{5}$ …
Mathematics · Vector Algebra · MCQ
Q43.Let the area of a $△ P QR$ with vertices $P (5, 4), Q (- 2, 4)$ and $R (a, b)$ be 35 square units. If its orthocenter and centroid are $O (2, \frac{14}{5})$ and $C (c, d)$ respectively, then $c + 2 d$ is equal to
Mathematics · Properties of Triangle · MCQ
Q44.If $A, B, and (adj (A^{- 1}) + adj (B^{- 1}))$ are non-singular matrices of same order, then the inverse of $A (adj (A^{- 1}) + adj (B^{- 1}))^{- 1} B$ …
Mathematics · Matrices and Determinants · MCQ
Q45.Let $R = {(1, 2), (2, 3), (3, 3)}$ be a relation defined on the set ${1, 2, 3, 4}$ . Then the minimum number of elements, needed to be added in R so that R becomes an equivalence relation, is:
Mathematics · Sets and Relations · MCQ
Q46.The sum of all rational terms in the expansion of $(1 + 2^{1/3} + 3^{1/2})^{6}$ is equal to .
Mathematics · Binomial Theorem · Numerical
Q47.If the set of all values of $a$ , for which the equation $5 x^{3} - 15 x - a = 0$ has three distinct real roots, is the interval $(α, β)$ , then $β - 2 α$ is equal to .
Mathematics · Application of Derivatives · Numerical
Q48.If the equation $a (b - c) x^{2} + b (c - a) x + c (a - b) = 0$ has equal roots, where $a + c = 15$ and $b = \frac{36}{5}$ , then $a^{2} + c^{2}$ …
Mathematics · Quadratic Equation and Inequalities · Numerical
Q49.Let the circle $C$ touch the line $x - y + 1 = 0$ , have the centre on the positive $x$ -axis, and cut off a chord of length $\frac{4}{13}$ along the line $- 3 x + 2 y = 1$ . Let H be the hyperbola $\frac{x ^{2}}{α ^{2}} - \frac{y ^{2}}{β ^{2}} = 1$ ,…
Mathematics · Circle · Numerical
Q50.If the area of the larger portion bounded between the curves $x^{2} + y^{2} = 25$ and $y = ∣ x - 1∣$ is $\frac{1}{4} (b π + c), b, c \in N$ , then $b + c$ is equal to …
Mathematics · Area Under the Curves · Numerical
Q51.Given below are two statements: Statement I: The hot water flows faster than cold water Statement II: Soap water has higher surface tension as compared to fresh water. In the light above statements, choose the correct answer from the…
Physics · Properties of Matter · MCQ
Q52.A point particle of charge $Q$ is located at $P$ along the axis of an electric dipole 1 at a distance $r$ as shown in the figure. The point P is also on the equatorial plane of a second electric dipole 2 at a distance r. The dipoles are… Includes diagram
Physics · Electrostatics · MCQ
Q53.What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness ' $h$ ' in terms of the angle of incidence ' $i$ ' and angle of refraction ' $r$ ', if the glass slab is placed in air medium?
Physics · Geometrical Optics · MCQ
Q54.A sub-atomic particle of mass $1 0^{- 30} kg$ is moving with a velocity $2.21 \times 1 0^{6} m / s$ . Under the matter wave consideration, the particle will behave closely like $(h = 6.63 \times 1 0^{- 34} J . s)$ …
Physics · Dual Nature of Radiation · MCQ
Q55.The position of a particle moving on $x$ -axis is given by $x (t) = A sin t + B cos^{2} t + C t^{2} + D$ , where $t$ is time. The dimension of $\frac{A B C}{D}$ is
Physics · Units and Measurements · MCQ
Q56.Match the List - I with List - II Choose the correct answer from the options given below: Includes table
Physics · Heat and Thermodynamics · MCQ
Q57.A gun fires a lead bullet of temperature 300 K into a wooden block. The bullet having melting temperature of 600 K penetrates into the block and melts down. If the total heat required for the process is 625 J , then the mass of the bullet…
Physics · Heat and Thermodynamics · MCQ
Q58.A solid sphere of mass ' $m$ ' and radius ' $r$ ' is allowed to roll without slipping from the highest point of an inclined plane of length ' $L$ ' and makes an angle $3 0^{\circ}$ with the horizontal. The speed of the particle at the bottom of…
Physics · Rotational Motion · MCQ
Q59.A radioactive nucleus $n_{2}$ has 3 times the decay constant as compared to the decay constant of another radioactive nucleus $n_{1}$ . If initial number of both nuclei are the same, what is the ratio of number of nuclei of $n_{2}$ to…
Physics · Atoms and Nuclei · MCQ
Q60.A light hollow cube of side length 10 cm and mass 10 g , is floating in water. It is pushed down and released to execute simple harmonic oscillations. The time period of oscillations is $y π \times 1 0^{- 2} s$ , where the value…
Physics · Simple Harmonic Motion · MCQ
Q61.A spherical surface of radius of curvature $R$ , separates air from glass (refractive index $O$ ). The centre of curvature is in the glass medium. A point object ' $O$ ' placed in air on the optic axis of the surface, so that its real image…
Physics · Geometrical Optics · MCQ
Q62.Consider a circular disc of radius 20 cm with centre located at the origin. A circular hole of radius 5 cm is cut from this disc in such a way that the edge of the hole touches the edge of the disc. The distance of centre of mass of…
Physics · Center of Mass · MCQ
Q63.Refer to the circuit diagram given in the figure. which of the following observations are correct? A. Total resistance of circuit is $6Ω$ B. Current in Ammeter is 1 A C. Potential across $A B$ is 4 Volts. D. Potential across CD is 4… Includes diagram
Physics · Electronic Devices · MCQ
Q64.The electric field of an electromagnetic wave in free space is $E = 57 cos [7.5 \times 1 0^{6} t - 5 \times 1 0^{- 3} (3 x + 4 y)] (4 \hat{i} - 3 \hat{j}) N / C$ . The associated magnetic field in Tesla is
Physics · Electromagnetic Waves · MCQ
Q65.The electric flux is $ϕ = α σ + β λ$ where $λ$ and $σ$ are linear and surface charge density, respectively. $(\frac{α}{β})$ represents
Physics · Electrostatics · MCQ
Q66.Consider a moving coil galvanomenter (MCG): A. The torsional constant in moving coil galvanometer has dimensions $[ML^{2} T^{- 2}]$ B. Increasing the current sensitivity may not necessarily increase the voltage…
Physics · Current Electricity · MCQ
Q67.The motion of an airplane is represented by velocity-time graph as shown below. The distance covered by airplane in the first 30.5 second is ̱ km . Includes diagram
Physics · Motion in A Straight Line · MCQ
Q68.Regarding self-inductance: A. The self-inductance of the coil depends on its geometry. B. Self-inductance does not depend on the permeability of the medium. C. Self-induced e.m.f. opposes any change in the current in a circuit. D.…
Physics · Electromagnetic Induction · MCQ
Q69.Identify the valid statements relevant to the given circuit at the instant when the key is closed. A. There will be no current through resistor $R$ . B. There will be maximum current in the connecting wires. C. Potential difference between… Includes diagram
Physics · Capacitor · MCQ
Q70.Given a thin convex lens (refractive index $μ_{2}$ ), kept in a liquid (refractive index $μ_{1}, μ_{1} < μ_{2}$ ) having radii of curvatures $∣ R_{1} ∣$ and $∣ R_{2} ∣$ . Its second surface is silver polished. Where should an…
Physics · Geometrical Optics · MCQ
Q71.Two particles are located at equal distance from origin. The position vectors of those are represented by $A = 2 \hat{i} + 3 n \hat{j} + 2 \hat{k}$ and $\overset{ˉ}{B} = 2 \hat{i} - 2 \hat{j} + 4 p \hat{k}$ , respectively. If both the vectors are at…
Physics · Vector Algebra · Numerical
Q72.A force $f = x^{2} y \hat{i} + y^{2} \hat{j}$ acts on a particle in a plane $x + y = 10$ . The work done by this force during a displacement from $(0, 0)$ to $(4 m, 2 m)$ …
Physics · Work Power and Energy · Numerical
Q73.In the given circuit the sliding contact is pulled outwards such that electric current in the circuit changes at the rate of $8 A / s$ . At an instant when R is $12Ω$ , the value of the current in the circuit will be… Includes diagram
Physics · Electromagnetic Induction · Numerical
Q74.A positive ion $A$ and a negative ion $B$ has charges $6.67 \times 1 0^{- 19} C$ and $9.6 \times 1 0^{- 10} C$ , and masses $19.2 \times 1 0^{- 27} kg$ and $9 \times 1 0^{- 27} kg$ respectively. At an instant,…
Physics · Electrostatics · Numerical
Q75.An ideal gas initially at $0^{\circ} C$ temperature, is compressed suddenly to one fourth of its volume. If the ratio of specific heat at constant pressure to that at constant volume is $3/2$ , the change in temperature due to…
Physics · Heat and Thermodynamics · Numerical