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2025 · 29 Jan · Shift 1

75 questions · JEE Main

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2025 · 29 Jan · Shift 1

2025 · 29 Jan · Shift 1

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

SolutionsChemistry · 2 questions ElectrochemistryChemistry · 3 questions BiomoleculesChemistry · 1 questions Coordination CompoundsChemistry · 2 questions ThermodynamicsChemistry · 1 questions D and F Block ElementsChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 3 questions Chemical EquilibriumChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Periodic Table and PeriodicityChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions HydrocarbonsChemistry · 1 questions 3D GeometryMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions Matrices and DeterminantsMathematics · 3 questions Sequences and SeriesMathematics · 1 questions EllipseMathematics · 1 questions ParabolaMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Binomial TheoremMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Differential EquationsMathematics · 1 questions Complex NumbersMathematics · 1 questions StatisticsMathematics · 1 questions Vector AlgebraMathematics · 2 questions Area Under the CurvesMathematics · 1 questions CircleMathematics · 1 questions Sets and RelationsMathematics · 1 questions Definite IntegrationMathematics · 2 questions Inverse Trigonometric FunctionsMathematics · 1 questions Dual Nature of RadiationPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Electronic DevicesPhysics · 1 questions Units and MeasurementsPhysics · 2 questions Properties of MatterPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Motion in A PlanePhysics · 2 questions ElectrostaticsPhysics · 2 questions MagneticsPhysics · 1 questions Electromagnetic InductionPhysics · 2 questions Geometrical OpticsPhysics · 2 questions Heat and ThermodynamicsPhysics · 2 questions Circular MotionPhysics · 1 questions Center of MassPhysics · 1 questions Rotational MotionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Wave OpticsPhysics · 1 questions Current ElectricityPhysics · 1 questions

Q1.1.24 g of $A X_{2}$ (molar mass 124 g mol−1) is dissolved in 1 kg of water to form a solution with boiling point of 100.015°C, while 25.4 g of $A Y_{2}$ (molar mass 250 g mol−1) in 2 kg of water constitutes a solution with a boiling point of…
Chemistry · Solutions · MCQ
Q2.For a $M g$ | $M g^{2 +}$ (aq) || $A g^{+}$ (aq) | $A g$ the correct Nernst Equation is :
Chemistry · Electrochemistry · MCQ
Q3.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Chemistry · Biomolecules · MCQ
Q4.The correct increasing order of stability of the complexes based on $Δ_{0}$ value is : I. $[Mn (CN)_{6}]^{3 -}$ II. $[Co (CN)_{6}]^{4 -}$ III. $[Fe (CN)_{6}]^{4 -}$ IV. $[Fe (CN)_{6}]^{3 -}$
Chemistry · Coordination Compounds · MCQ
Q5.500 J of energy is transferred as heat to 0.5 mol of Argon gas at 298 K and 1.00 atm. The final temperature and the change in internal energy respectively are: Given: R = 8.3 J K-1 mol-1
Chemistry · Thermodynamics · MCQ
Q6.The molar conductivity of a weak electrolyte when plotted against the square root of its concentration, which of the following is expected to be observed?
Chemistry · Electrochemistry · MCQ
Q7.The correct option with order of melting points of the pairs (Mn, Fe), (Tc, Ru) and (Re, Os) is :
Chemistry · D and F Block Elements · MCQ
Q8.The reaction $A_{2} + B_{2} \to 2 A B$ follows the mechanism: $A_{2} k_{- 1} ⇌ k_{1} A + A$ (fast) $A + B_{2} k_{2} A B + B$ (slow) $A + B \to A B$ (fast) The overall order of the reaction…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q9.If $a$ 0 is denoted as the Bohr radius of hydrogen atom, then what is the de-Broglie wavelength (λ) of the electron present in the second orbit of hydrogen atom? [n : any integer]
Chemistry · Structure of Atom · MCQ
Q10.The standard reduction potential values of some of the p-block ions are given below. Predict the one with the strongest oxidising capacity.
Chemistry · Electrochemistry · MCQ
Q11.Choose the correct statements. (A) Weight of a substance is the amount of matter present in it. (B) Mass is the force exerted by gravity on an object. (C) Volume is the amount of space occupied by a substance. (D) Temperatures below 0°C…
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q12.In the following substitution reaction : Product 'P' formed is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q13.At temperature T, compound $A B_{2 (g)}$ dissociates as $A B_{2 (g)} ⇌ A B_{(g)} + \frac{1}{2} B_{2 (g)}$ having degree of dissociation $x$ (small compared to unity). The correct expression for $x$ in terms of $K_{p}$ and $p$ is:
Chemistry · Chemical Equilibrium · MCQ
Q14.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Chemistry · Coordination Compounds · MCQ
Q15.The product (P) formed in the following reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q16.The steam volatile compounds among the following are : $Choose the correct answer from the options given below :$ Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q17.Match List - I with List - II. Choose the correct answer from the options given below : Includes table Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q18.Total number of nucleophiles from the following is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q19.An element ‘E’ has the ionisation enthalpy value of 374 kJ mol⁻¹. ‘E’ reacts with elements A, B, C and D with electron gain enthalpy values of −328, −349, −325 and −295 kJ mol⁻¹, respectively. The correct order of the products EA, EB, EC…
Chemistry · Periodic Table and Periodicity · MCQ
Q20.Given below are two statements : Statement (I) : The radii of isoelectronic species increases in the order. $M g^{2 +}$ < $N a^{+}$ < F $-$ < $O^{2 -}$ Statement (II) : The magnitude of electron gain enthalpy of halogen decreases in the…
Chemistry · Periodic Table and Periodicity · MCQ
Q21.The molar mass of the water insoluble product formed from the fusion of chromite ore (FeCr₂O₄) with Na₂CO₃ in presence of O₂ is g mol⁻¹.
Chemistry · D and F Block Elements · Numerical
Q22.Given below are some nitrogen containing compounds : Each of them is treated with HCl separately. 1.0 g of the most basic compound will consume mg of HCl. (Given molar mass in g mol−1 C : 12, H : 1, O : 16, Cl :… Includes diagram
Chemistry · Compounds Containing Nitrogen · Numerical
Q23.If $A_{2} B$ is 30% ionised in an aqueous solution, then the value of van't Hoff factor (i) is × 10−1.
Chemistry · Solutions · Numerical
Q24.0.1 mole of compound ‘S’ will weigh g. (Given molar mass in g mol−1 C : 12, H : 1, O : 16) Includes diagram
Chemistry · Alcohols Phenols and Ethers · Numerical
Q25.The sum of sigma (σ) and pi (π) bonds in Hex-1,3-dien-5-yne is .
Chemistry · Hydrocarbons · Numerical
Q26.Let $L_{1} : \frac{x - 1}{1} = \frac{y - 2}{- 1} = \frac{z - 1}{2}$ and $L_{2} : \frac{x + 1}{- 1} = \frac{y - 2}{2} = \frac{z}{1}$ be two lines. Let $L_{3}$ be a line passing through the point $(α, β, γ)$ and be perpendicular to both $L_{1}$ …
Mathematics · 3D Geometry · MCQ
Q27.Let $P$ be the set of seven digit numbers with sum of their digits equal to 11. If the numbers in $P$ are formed by using the digits 1, 2 and 3 only, then the number of elements in the set $P$ is :
Mathematics · Permutations and Combinations · MCQ
Q28.Let $A = [a_{ij}] = [lo g_{5} 128 lo g_{5} 8 lo g_{4} 5 lo g_{4} 25]$ . If $A_{ij}$ is the cofactor of $a_{ij}$ , $C_{ij} = k = 1 \sum 2 a_{ik} A_{j k}, 1 \leq i, j \leq 2$ …
Mathematics · Matrices and Determinants · MCQ
Q29.Consider an A. P. of positive integers, whose sum of the first three terms is 54 and the sum of the first twenty terms lies between 1600 and 1800. Then its 11th term is :
Mathematics · Sequences and Series · MCQ
Q30.Let the ellipse $E_{1} : \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ , $a > b$ and $E_{2} : \frac{x ^{2}}{A ^{2}} + \frac{y ^{2}}{B ^{2}} = 1$ , $A < B$ have same eccentricity $\frac{1}{3}$ . Let the product of their lengths of latus rectums be $\frac{32}{3}$ …
Mathematics · Ellipse · MCQ
Q31.Two parabolas have the same focus (4, 3) and their directrices are the x-axis and the y-axis, respectively. If these parabolas intersect at the points A and B, then (AB)2 is equal to :
Mathematics · Parabola · MCQ
Q32.Let ΔABC be a triangle formed by the lines 7x – 6y + 3 = 0, x + 2y – 31 = 0 and 9x – 2y – 19 = 0. Let the point (h, k) be the image of the centroid of ΔABC in the line 3x + 6y – 53 = 0. Then h2 + k2 + hk is equal to :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q33.The number of solutions of the equation $(\frac{9}{x} - \frac{9}{x} + 2) (\frac{2}{x} - \frac{7}{x} + 3) = 0$ is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q34.The least value of n for which the number of integral terms in the Binomial expansion of $(37 + 1211)^{n}$ is 183, is :
Mathematics · Binomial Theorem · MCQ
Q35.The value of $n \to \infty lim (k = 1 \sum n \frac{k ^{3} + 6 k ^{2} + 11 k + 5}{( k + 3 )!})$ is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q36.Let y = y(x) be the solution of the differential equation : $cos x (lo g_{e} (cos x))^{2} d y + (sin x - 3 y sin x lo g_{e} (cos x)) d x = 0$ , x ∈ (0, $\frac{π}{2}$ ). If $y (\frac{π}{4})$ = $- \frac{1}{l o g _{e} 2}$ , then $y (\frac{π}{6})$ …
Mathematics · Differential Equations · MCQ
Q37.Let $∣ z_{1} - 8 - 2 i ∣ \leq 1$ and $∣ z_{2} - 2 + 6 i ∣ \leq 2$ , $z_{1}, z_{2} \in C$ . Then the minimum value of $∣ z_{1} - z_{2} ∣$ is :
Mathematics · Complex Numbers · MCQ
Q38.Let $x_{1}, x_{2}, ..., x_{10}$ be ten observations such that $i = 1 \sum 10 (x_{i} - 2) = 30$ , $i = 1 \sum 10 (x_{i} - β)^{2} = 98$ , $β > 2$ , and their variance is $\frac{4}{5}$ . If $μ$ and $σ^{2}$ are respectively…
Mathematics · Statistics · MCQ
Q39.Let $a = \hat{i} + 2 \hat{j} + \hat{k}$ and $b = 2 \hat{i} + 7 \hat{j} + 3 \hat{k}$ . Let $L_{1} : r = (- \hat{i} + 2 \hat{j} + \hat{k}) + λ a, λ \in R$ and $L_{2} : r = (\hat{j} + \hat{k}) + μ b, μ \in R$ …
Mathematics · Vector Algebra · MCQ
Q40.Let the area of the region $(x, y) : 2 y \leq x^{2} + 3, y + ∣ x ∣ \leq 3, y \geq ∣ x - 1∣$ be $A$ . Then $6 A$ is equal to :
Mathematics · Area Under the Curves · MCQ
Q41.Let $a = 2 \hat{i} - \hat{j} + 3 \hat{k}, b = 3 \hat{i} - 5 \hat{j} + \hat{k}$ and $c$ be a vector such that $a \times c = a \times b = c \times b$ and $(a + c) \cdot (b + c) = 168$ …
Mathematics · Vector Algebra · MCQ
Q42.Let the line x+y=1 meet the circle $x^{2} + y^{2} = 4$ at the points A and B. If the line perpendicular to AB and passing through the mid-point of the chord AB intersects the circle at C and D, then the area of the quadrilateral ABCD is equal to :
Mathematics · Circle · MCQ
Q43.Define a relation R on the interval $[0, \frac{π}{2})$ by $x$ R $y$ if and only if $sec^{2} x - tan^{2} y = 1$ . Then R is :
Mathematics · Sets and Relations · MCQ
Q44.Let M and m respectively be the maximum and the minimum values of $f (x) = 1 + sin^{2} x sin^{2} x sin^{2} x cos^{2} x 1 + cos^{2} x cos^{2} x 4 sin 4 x 4 sin 4 x 1 + 4 sin 4 x, x \in R$ …
Mathematics · Matrices and Determinants · MCQ
Q45.The integral $80 0 \int \frac{π}{4} (\frac{s i n θ + c o s θ}{9 + 16 s i n 2 θ}) d θ$ is equal to :
Mathematics · Definite Integration · MCQ
Q46.Let [t] be the greatest integer less than or equal to t. Then the least value of p ∈ N for which $x \to 0^{+} lim (x ([\frac{1}{x}] + [\frac{2}{x}] + \dots + [\frac{p}{x}]) - x^{2} ([\frac{1}{x ^{2}}] + [\frac{2 ^{2}}{x ^{2}}] + \dots + [\frac{9 ^{2}}{x ^{2}}]) \geq 1$ …
Mathematics · Limits Continuity and Differentiability · Numerical
Q47.Let $S = {m \in Z : A^{m^{2}} + A^{m} = 3 I - A^{- 6}}$ , where $A = [21 - 1 0]$ . Then $n (S)$ is equal to .
Mathematics · Matrices and Determinants · Numerical
Q48.Let S = ${x : cos^{- 1} x = π + sin^{- 1} x + sin^{- 1} [2 x + 1]}$ . Then $x \in S \sum (2 x - 1)^{2}$ is equal to .
Mathematics · Inverse Trigonometric Functions · Numerical
Q49.Let $f : (0, \infty) \to R$ be a twice differentiable function. If for some $a e 0, 0 \int 1 f (λ x) d λ = a f (x), f (1) = 1$ and $f (16) = \frac{1}{8}$ , then $16 - f^{'} (\frac{1}{16})$ …
Mathematics · Definite Integration · Numerical
Q50.The number of 6-letter words, with or without meaning, that can be formed using the letters of the word MATHS such that any letter that appears in the word must appear at least twice, is .
Mathematics · Permutations and Combinations · Numerical
Q51.If $λ$ and $K$ are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correct graphical representation for the particle will be :
Physics · Dual Nature of Radiation · MCQ
Q52.Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Electromagnetic waves carry energy but not momentum. Reason (R) : Mass of a photon is zero. In the light of the above…
Physics · Electromagnetic Waves · MCQ
Q53.For the circuit shown above, equivalent GATE is : Includes diagram
Physics · Electronic Devices · MCQ
Q54.The pair of physical quantities not having the same dimensions is :
Physics · Units and Measurements · MCQ
Q55.The expression given below shows the variation of velocity (v) with time (t), $v = At^{2} + \frac{Bt}{C + t}$ . The dimension of ABC is :
Physics · Units and Measurements · MCQ
Q56.The fractional compression $(\frac{Δ V}{V})$ of water at the depth of 2.5 km below the sea level is %. Given, the Bulk modulus of water = $2 \times 1 0^{9}$ N m $^{- 2}$ , density of water = $1 0^{3}$ kg…
Physics · Properties of Matter · MCQ
Q57.Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Time period of a simple pendulum is longer at the top of a mountain than that at the base of the mountain. Reason (R)…
Physics · Simple Harmonic Motion · MCQ
Q58.Two projectiles are fired with same initial speed from same point on ground at angles of $(4 5^{\circ} - α)$ and $(4 5^{\circ} + α)$ , respectively, with the horizontal direction. The ratio of their maximum heights attained is :
Physics · Motion in A Plane · MCQ
Q59.An electric dipole of mass $m$ , charge $q$ , and length $l$ is placed in a uniform electric field $E = E_{0} \hat{i}$ . When the dipole is rotated slightly from its equilibrium position and released, the time period of its oscillations…
Physics · Electrostatics · MCQ
Q60.Consider a long straight wire of a circular cross-section (radius a) carrying a steady current I. The current is uniformly distributed across this cross-section. The distances from the centre of the wire’s cross-section at which the…
Physics · Magnetics · MCQ
Q61.A coil of area A and N turns is rotating with angular velocity $ω$ in a uniform magnetic field $B$ about an axis perpendicular to $B$ . Magnetic flux $φ$ and induced emf $ε$ across it, at an instant when $B$ …
Physics · Electromagnetic Induction · MCQ
Q62.Consider I1 and I2 are the currents flowing simultaneously in two nearby coils 1 & 2, respectively. If L1 = self inductance of coil 1, M12 = mutual inductance of coil 1 with respect to coil 2, then the value of induced emf in coil 1…
Physics · Electromagnetic Induction · MCQ
Q63.Let u and v be the distances of the object and the image from a lens of focal length f. The correct graphical representation of u and v for a convex lens when |u| > f, is
Physics · Geometrical Optics · MCQ
Q64.The work done in an adiabatic change in an ideal gas depends upon only :
Physics · Heat and Thermodynamics · MCQ
Q65.A body of mass ‘m’ connected to a massless and unstretchable string goes in vertical circle of radius ‘R’ under gravity g. The other end of the string is fixed at the center of circle. If velocity at top of circular path is $n g R$ …
Physics · Circular Motion · MCQ
Q66.As shown below, bob A of a pendulum having massless string of length 'R' is released from 60° to the vertical. It hits another bob B of half the mass that is at rest on a frictionless table in the center. Assuming elastic collision, the… Includes diagram
Physics · Center of Mass · MCQ
Q67.A container of fixed volume contains a gas at 27°C. To double the pressure of the gas, the temperature of gas should be raised to °C.
Physics · Heat and Thermodynamics · Numerical
Q68.The maximum speed of a boat in still water is 27 km/h. Now this boat is moving downstream in a river flowing at 9 km/h. A man in the boat throws a ball vertically upwards with speed of 10 m/s. Range of the ball as observed by an observer…
Physics · Motion in A Plane · Numerical
Q69.The coordinates of a particle with respect to origin in a given reference frame is (1, 1, 1) meters. If a force of $F = \hat{i} - \hat{j} + \hat{k}$ acts on the particle, then the magnitude of torque (with respect to origin) in…
Physics · Rotational Motion · Numerical
Q70.Two light beams fall on a transparent material block at point 1 and 2 with angle $θ_{1}$ and $θ_{2}$ , respectively, as shown in figure. After refraction, the beams intersect at point 3 which is exactly on the interface at other end… Includes diagram
Physics · Geometrical Optics · Numerical
Q71.In a hydraulic lift, the surface area of the input piston is 6 cm2 and that of the output piston is 1500 cm2. If 100 N force is applied to the input piston to raise the output piston by 20 cm, then the work done is …
Physics · Work Power and Energy · Numerical
Q72.Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Emission of electrons in photoelectric effect can be suppressed by applying a sufficiently negative electron…
Physics · Dual Nature of Radiation · MCQ
Q73.At the interface between two materials having refractive indices $n_{1}$ and $n_{2}$ , the critical angle for reflection of an em wave is $θ_{1 C}$ . The $n_{2}$ material is replaced by another material having refractive index $n_{3}$ …
Physics · Wave Optics · MCQ
Q74.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Physics · Electrostatics · MCQ
Q75.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Choke coil is simply a coil having a large inductance but a small resistance. Choke coils are used with fluorescent…
Physics · Current Electricity · MCQ