New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

2025 · 24 Jan · Shift 2

75 questions · JEE Main

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Main
Papers
2025 · 24 Jan · Shift 2

2025 · 24 Jan · Shift 2

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

Periodic Table and PeriodicityChemistry · 2 questions D and F Block ElementsChemistry · 1 questions Salt AnalysisChemistry · 1 questions ThermodynamicsChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions ElectrochemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 1 questions Basics of Organic ChemistryChemistry · 4 questions Coordination CompoundsChemistry · 2 questions Chemical EquilibriumChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Structure of AtomChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Sequences and SeriesMathematics · 2 questions ProbabilityMathematics · 1 questions Application of DerivativesMathematics · 1 questions Sets and RelationsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Inverse Trigonometric FunctionsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Vector AlgebraMathematics · 2 questions ParabolaMathematics · 1 questions EllipseMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions DifferentiationMathematics · 1 questions FunctionsMathematics · 1 questions 3D GeometryMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Differential EquationsMathematics · 1 questions HyperbolaMathematics · 1 questions MagneticsPhysics · 4 questions Wave OpticsPhysics · 2 questions Heat and ThermodynamicsPhysics · 4 questions Electronic DevicesPhysics · 1 questions Dual Nature of RadiationPhysics · 2 questions ElectrostaticsPhysics · 2 questions Atoms and NucleiPhysics · 1 questions Rotational MotionPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Motion in A PlanePhysics · 1 questions Geometrical OpticsPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Properties of MatterPhysics · 1 questions Circular MotionPhysics · 1 questions GravitationPhysics · 1 questions

Q1.The successive 5 ionisation energies of an element are $800, 2427, 3658, 25024$ and $32824 kJ / mol$ , respectively. By using the above values predict the group in which the above element is present :
Chemistry · Periodic Table and Periodicity · MCQ
Q2.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Chemistry · D and F Block Elements · MCQ
Q3. $Find the compound ’ A ’ from the following reaction sequences. A aqua-regia B (1) KNO_{2} ∣ NH_{4} OH (2) AcOH yellow ppt$ …
Chemistry · Salt Analysis · MCQ
Q4. $S (g) + \frac{3}{2} O_{2} (g) \to SO_{3} (g) + 2 x kcal SO_{2} (g) + \frac{1}{2} O_{2} (g) \to SO_{3} (g) + y kcal$ …
Chemistry · Thermodynamics · MCQ
Q5.The structure of the major product formed in the following reaction is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q6.The elemental composition of a compound is $54.2% C, 9.2% H$ and $36.6% O$ . If the molar mass of the compound is $132 g mol^{- 1}$ , the molecular formula of the compound is : [Given : The…
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q7.Based on the data given below : $E_{Cr_{2} O_{7}^{2 -} / Cr^{3 +}}^{\circ} = 1.33 V E_{MnO_{4}^{-} / Mn^{2 +}}^{0} = 1.51 V E_{Cl_{2} / Cl^{(-)}}^{\circ} = 1.36 V E_{Cr^{3 +} / Cr}^{\circ} = - 0.74 V$ …
Chemistry · Electrochemistry · MCQ
Q8.For reaction The correct order of set of reagents for the above conversion is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q9.Given below are two statements : Statement (I) : The first ionization energy of Pb is greater than that of Sn . Statement (II) : The first ionization energy of Ge is greater than that of Si . In the light of the above statements, choose…
Chemistry · Periodic Table and Periodicity · MCQ
Q10.Match List - I with List - II. Choose the correct answer from the options given below : Includes table Includes diagram
Chemistry · Biomolecules · MCQ
Q11.Which of the following mixing of 1 M base and 1 M acid leads to the largest increase in temperature?
Chemistry · Thermodynamics · MCQ
Q12.In the given structure, number of sp and $sp^{2}$ hybridized carbon atoms present respectively are : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q13.The conditions and consequence that favours the $t_{2 g}^{3} e_{g}^{1}$ configuration in a metal complex are :
Chemistry · Coordination Compounds · MCQ
Q14.For the reaction, $H_{2} (g) + I_{2} (g) ⇌ 2 HI (g)$ Attainment of equilibrium is predicted correctly by :
Chemistry · Chemical Equilibrium · MCQ
Q15.Given below are two statements : Statement (I) : is valid for first order reaction. Statement (II) : is valid for first order reaction. In the light of the above statements, choose the correct answer from the options given below : Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q16.Given below are two statements : Statement (I) : Experimentally determined oxygen-oxygen bond lengths in the $O_{3}$ are found to be same and the bond length is greater than that of a $O = O$ (double bond) but less…
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q17.Match List - I with List - II. Choose the correct answer from the options given below : Includes table Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q18.When Ethane-1,2-diamine is added progressively to an aqueous solution of Nickel (II) chloride, the sequence of colour change observed will be:
Chemistry · Coordination Compounds · MCQ
Q19.For hydrogen atom, the orbital/s with lowest energy is/are : (A) $4s$ (B) $3 p_{x}$ (C) $3 d_{x^{2} - y^{2}}$ (D) $3 d_{z^{2}}$ (E) $4 p_{z}$ Choose the correct answer from the options given below :
Chemistry · Structure of Atom · MCQ
Q20.Identify correct statement/s : (A) $- OCH_{3}$ and $- NHCOCH_{3}$ are activating group. (B) $- CN$ and -OH are meta directing group. (C) -CN and $- SO_{3} H$ are meta directing group. (D) Activating…
Chemistry · Basics of Organic Chemistry · MCQ
Q21.Consider a complex reaction taking place in three steps with rate constants $k_{1}, k_{2}$ and $k_{3}$ respectively. The overall rate constant $k$ is given by the expression $k = \frac{k _{1} k _{3}}{k _{2}}$ . If the…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q22.The hydrocarbon $(X)$ with molar mass $80 g mol^{- 1}$ and $90%$ carbon has degree of unsaturation.
Chemistry · Basics of Organic Chemistry · Numerical
Q23.In Carius method of estimation of halogen, 0.25 g of an organic compound gave 0.15 g of silver bromide ( AgBr ). The percentage of Bromine in the organic compound is $\times 1 0^{- 1} %$ (Nearest integer). (Given :…
Chemistry · Practical Organic Chemistry · Numerical
Q24.The observed and normal molar masses of compound $MX_{2}$ are 65.6 and 164 respectively. The percent degree of ionisation of $MX_{2}$ is %. (Nearest integer)
Chemistry · Ionic Equilibrium · Numerical
Q25.The possible number of stereoisomers for 5-phenylpent-4-en-2-ol is .
Chemistry · Basics of Organic Chemistry · Numerical
Q26.In an arithmetic progression, if $S_{40} = 1030$ and $S_{12} = 57$ , then $S_{30} - S_{10}$ is equal to :
Mathematics · Sequences and Series · MCQ
Q27.Let $A = [a_{ij}]$ be a square matrix of order 2 with entries either 0 or 1 . Let E be the event that A is an invertible matrix. Then the probability $P (E)$ is :
Mathematics · Probability · MCQ
Q28.Let $(2, 3)$ be the largest open interval in which the function $f (x) = 2 lo g_{e} (x - 2) - x^{2} + a x + 1$ is strictly increasing and (b, c) be the largest open interval, in which the function $g (x) = (x - 1)^{3} (x + 2 - a)^{2}$ is…
Mathematics · Application of Derivatives · MCQ
Q29.Let $A = {x \in (0, π) - {\frac{π}{2}} : lo g_{(2/ π)} ∣ sin x ∣ + lo g_{(2/ π)} ∣ cos x ∣ = 2}$ and $B = {x ⩾ 0 : x (x - 4) - 3∣ x - 2∣ + 6 = 0}$ . Then $n (A \cup B)$ …
Mathematics · Sets and Relations · MCQ
Q30.The area of the region enclosed by the curves $y = e^{x}, y = ∣ e^{x} - 1 ∣$ and $y$ -axis is :
Mathematics · Area Under the Curves · MCQ
Q31.For some $a, b,$ let $f (x) = a + \frac{s i n x}{x} a a 1 1 + \frac{s i n x}{x} 1 b b b + \frac{s i n x}{x}, x e q 0, x \to 0 lim f (x) = λ + μ a + u b .$ …
Mathematics · Matrices and Determinants · MCQ
Q32.If $α > β > γ > 0$ , then the expression $cot^{- 1} {β + \frac{( 1 + β ^{2} )}{( α - β )}} + cot^{- 1} {γ + \frac{( 1 + γ ^{2} )}{( β - γ )}} + cot^{- 1} {α + \frac{( 1 + α ^{2} )}{( γ - α )}}$ …
Mathematics · Inverse Trigonometric Functions · MCQ
Q33.If the system of equations $x + 2 y - 3 z = 2 2 x + λ y + 5 z = 5 14 x + 3 y + μ z = 33$ has infinitely many solutions, then $λ + μ$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q34.Suppose $A$ and $B$ are the coefficients of $3 0^{th}$ and $1 2^{th}$ terms respectively in the binomial expansion of $(1 + x)^{2 n - 1}$ . If $2 A = 5 B$ , then n is equal to:
Mathematics · Binomial Theorem · MCQ
Q35.Let the position vectors of three vertices of a triangle be $4 p + q - 3 r, - 5 p + q + 2 r$ and $2 p - q + 2 r$ . If the position vectors of the orthocenter and the circumcenter of the triangle are $\frac{p + q + r}{4}$ …
Mathematics · Vector Algebra · MCQ
Q36.If $7 = 5 + \frac{1}{7} (5 + α) + \frac{1}{7 ^{2}} (5 + 2 α) + \frac{1}{7 ^{3}} (5 + 3 α) + \dots\dots\dots\dots \infty$ , then the value of $α$ is :
Mathematics · Sequences and Series · MCQ
Q37.If the equation of the parabola with vertex $V (\frac{3}{2}, 3)$ and the directrix $x + 2 y = 0$ is $α x^{2} + β y^{2} - γ x y - 30 x - 60 y + 225 = 0$ , then $α + β + γ$ is equal to :
Mathematics · Parabola · MCQ
Q38.Let $a = 3 \hat{i} - \hat{j} + 2 \hat{k}, b = a \times (\hat{i} - 2 \hat{k})$ and $c = b \times \hat{k}$ . Then the…
Mathematics · Vector Algebra · MCQ
Q39.The equation of the chord, of the ellipse $\frac{x ^{2}}{25} + \frac{y ^{2}}{16} = 1$ , whose mid-point is $(3, 1)$ is :
Mathematics · Ellipse · MCQ
Q40.Let the points $(\frac{11}{2}, α)$ lie on or inside the triangle with sides $x + y = 11, x + 2 y = 16$ and $2 x + 3 y = 29$ . Then the product of the smallest and the largest values of $α$ is equal to :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q41.Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls. The number of ways, 4 boys and 4 girls can be invited for a picnic if 5 of them must be from group $A$ and the remaining 3 from group $B$ , is equal to :
Mathematics · Permutations and Combinations · MCQ
Q42.Let $[x]$ denote the greatest integer function, and let m and n respectively be the numbers of the points, where the function $f (x) = [x] + ∣ x - 2∣, - 2 < x < 3$ , is not continuous and not differentiable. Then $m + n$ is equal to…
Mathematics · Limits Continuity and Differentiability · MCQ
Q43.The number of real solution(s) of the equation $x^{2} + 3 x + 2 = min {∣ x - 3∣, ∣ x + 2∣}$ is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q44.Let $f : (0, \infty) \to R$ be a function which is differentiable at all points of its domain and satisfies the condition $x^{2} f^{'} (x) = 2 x f (x) + 3$ , with $f (1) = 4$ . Then $2 f (2)$ is equal to :
Mathematics · Differentiation · MCQ
Q45.The function $f : (- \infty, \infty) \to (- \infty, 1)$ , defined by $f (x) = \frac{2 ^{x} - 2 ^{- x}}{2 ^{x} + 2 ^{- x}}$ is :
Mathematics · Functions · MCQ
Q46.Let P be the image of the point $Q (7, - 2, 5)$ in the line $L : \frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z}{4}$ and $R (5, p, q)$ be a point on $L$ . Then the square of the area of $△ P QR$ is …
Mathematics · 3D Geometry · Numerical
Q47.If $\int \frac{2 x ^{2} + 5 x + 9}{x ^{2} + x + 1} d x = x x^{2} + x + 1 + α x^{2} + x + 1 + β lo g_{e} x + \frac{1}{2} + x^{2} + x + 1 + C$ , where $C$ is the constant of integration, then $α + 2 β$ …
Mathematics · Indefinite Integrals · Numerical
Q48.Let $y = y (x)$ be the solution of the differential equation $2 cos x \frac{d y}{d x} = sin 2 x - 4 y sin x, x \in (0, \frac{π}{2})$ . If $y (\frac{π}{3}) = 0$ , then $y^{'} (\frac{π}{4}) + y (\frac{π}{4})$ …
Mathematics · Differential Equations · Numerical
Q49.Number of functions $f : {1, 2, \dots, 100} \to {0, 1}$ , that assign 1 to exactly one of the positive integers less than or equal to 98 , is equal to .
Mathematics · Permutations and Combinations · Numerical
Q50.Let $H_{1} : \frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ and $H_{2} : - \frac{x ^{2}}{A ^{2}} + \frac{y ^{2}}{B ^{2}} = 1$ be two hyperbolas having length of latus rectums $152$ and $125$ …
Mathematics · Hyperbola · Numerical
Q51.N equally spaced charges each of value q , are placed on a circle of radius R . The circle rotates about its axis with an angular velocity $ω$ as shown in the figure. A bigger Amperian loop B encloses the whole circle where as a… Includes diagram
Physics · Magnetics · MCQ
Q52.In a Young's double slit experiment, three polarizers are kept as shown in the figure. The transmission axes of $P_{1}$ and $P_{2}$ are orthogonal to each other. The polarizer $P_{3}$ covers both the slits with its transmission axis at $4 5^{\circ}$ … Includes diagram
Physics · Wave Optics · MCQ
Q53.Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : A electron in a certain region of uniform magnetic field is moving with constant velocity in a straight line path.…
Physics · Magnetics · MCQ
Q54.The temperature of a body in air falls from $4 0^{\circ} C$ to $2 4^{\circ} C$ in 4 minutes. The temperature of the air is $1 6^{\circ} C$ . The temperature of the body in the next 4 minutes will be :
Physics · Heat and Thermodynamics · MCQ
Q55.The output of the circuit is low (zero) for : (A) $X = 0, Y = 0$ (B) $X = 0, Y = 1$ (C) $X = 1, Y = 0$ (D) $X = 1, Y = 1$ Choose the correct answer from the options given below : Includes diagram
Physics · Electronic Devices · MCQ
Q56.The magnitude of heat exchanged by a system for the given cyclic process ABCA (as shown in figure) is (in SI unit) : Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q57.In photoelectric effect, the stopping potential $(V_{0}) v / s$ frequency $(v)$ curve is plotted. ( h is the Planck's constant and $ϕ_{0}$ is work function of metal ) (A) $V_{0} v / s v$ …
Physics · Dual Nature of Radiation · MCQ
Q58.A small uncharged conducting sphere is placed in contact with an identical sphere but having $4 \times 1 0^{- 8} C$ charge and then removed to a distance such that the force of repulsion between them is $9 \times 10^{-3}…
Physics · Electrostatics · MCQ
Q59.A long straight wire of a circular cross-section with radius ' a ' carries a steady current I . The current I is uniformly distributed across this cross-section. The plot of magnitude of magnetic field B with distance $r$ from the centre…
Physics · Magnetics · MCQ
Q60.The energy E and momentum p of a moving body of mass m are related by some equation. Given that c represents the speed of light, identify the correct equation
Physics · Atoms and Nuclei · MCQ
Q61.Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In an insulated container, a gas is adiabatically shrunk to half of its initial volume. The temperature of the gas…
Physics · Heat and Thermodynamics · MCQ
Q62.A solid sphere and a hollow sphere of the same mass and of same radius are rolled on an inclined plane. Let the time taken to reach the bottom by the solid sphere and the hollow sphere be $t_{1}$ and $t_{2}$ , respectively, then
Physics · Rotational Motion · MCQ
Q63.Which of the following figure represents the relation between Celsius and Fahrenheit temperatures?
Physics · Heat and Thermodynamics · MCQ
Q64.Arrange the following in the ascending order of wavelength $(λ)$ : (A) Microwaves $(λ_{1})$ (B) Ultraviolet rays $(λ_{2})$ (C) Infrared rays $(λ_{3})$ (D) X-rays $(λ_{4})$ …
Physics · Electromagnetic Waves · MCQ
Q65.Young's double slit inteference apparatus is immersed in a liquid of refractive index 1.44. It has slit separation of 1.5 mm . The slits are illuminated by a parallel beam of light whose wavelength in air is 690 nm . The fringe-width on a…
Physics · Wave Optics · MCQ
Q66.A solid sphere is rolling without slipping on a horizontal plane. The ratio of the linear kinetic energy of the centre of mass of the sphere and rotational kinetic energy is :
Physics · Rotational Motion · MCQ
Q67.The position vector of a moving body at any instant of time is given as $r = (5 t^{2} \hat{i} - 5 t \hat{j}) m$ . The magnitude and direction of velocity at $t = 2 s$ is,
Physics · Motion in A Plane · MCQ
Q68.A photograph of a landscape is captured by a drone camera at a height of 18 km . The size of the camera film is $2 cm \times 2 cm$ and the area of the landscape photographed is $400 km^{2}$ . The focal length of…
Physics · Geometrical Optics · MCQ
Q69.In the first configuration (1) as shown in the figure, four identical charges $(q_{0})$ are kept at the corners A, B, C and D of square of side length ' $a$ '. In the second configuration (2), the same charges are shifted to mid… Includes diagram
Physics · Electrostatics · MCQ
Q70.A particle oscillates along the $x$ -axis according to the law, $x (t) = x_{0} sin^{2} (\frac{t}{2})$ where $x_{0} = 1 m$ . The kinetic energy $(K)$ of the particle as a function of $x$ is correctly…
Physics · Simple Harmonic Motion · MCQ
Q71.The ratio of the power of a light source $S_{1}$ to that the light source $S_{2}$ is $2. S_{1}$ is emitting $2 \times 1 0^{15}$ photons per second at 600 nm . If the wavelength of the source $S_{2}$ is 300 nm , then the number of photons per…
Physics · Dual Nature of Radiation · Numerical
Q72.The increase in pressure required to decrease the volume of a water sample by $0.2%$ is $P \times 1 0^{5} Nm^{- 2}$ . Bulk modulus of water is $2.15 \times 1 0^{9} Nm^{- 2}$ . The value of P is …
Physics · Properties of Matter · Numerical
Q73.A string of length $L$ is fixed at one end and carries a mass of $M$ at the other end. The mass makes $(\frac{3}{π})$ rotations per second about the vertical axis passing through end of the string as shown. The tension in the… Includes diagram
Physics · Circular Motion · Numerical
Q74.Acceleration due to gravity on the surface of earth is ' $g$ '. If the diameter of earth is reduced to one third of its original value and mass remains unchanged, then the acceleration due to gravity on the surface of the earth is …
Physics · Gravitation · Numerical
Q75.A tightly wound long solenoid carries a current of 1.5 A . An electron is executing uniform circular motion inside the solenoid with a time period of 75 ns . The number of turns per metre in the solenoid is .…
Physics · Magnetics · Numerical