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2025 · 3 Apr · Shift 1

75 questions · JEE Main

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2025 · 3 Apr · Shift 1

2025 · 3 Apr · Shift 1

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

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

Q1.The correct order of the complexes $[Co (NH_{3})_{5} (H_{2} O)]^{3 +} (A), [Co (NH_{3})_{6}]^{3 +} (B), [Co (CN)_{6}]^{3 -} (C)$ …
Chemistry · Coordination Compounds · MCQ
Q2.Which of the following statements are correct? A. The process of adding an electron to a neutral gaseous atom is always exothermic. B. The process of removing an electron from an isolated gaseous atom is always endothermic. C. The $1^{st}$ …
Chemistry · Periodic Table and Periodicity · MCQ
Q3. $Identify [A], [B] and [C], respectively in the following reaction sequence :$ Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q4. $Match the LIST-I with LIST-II$ $Choose the correct answer from the options given below:$ Includes table
Chemistry · Coordination Compounds · MCQ
Q5.Which of the following postulate of Bohr's model of hydrogen atom is not in agreement with quantum mechanical model of an atom?
Chemistry · Structure of Atom · MCQ
Q6.In the following system, $PCl_{5} (g) ⇋ PCl_{3} (g) + Cl_{2} (g)$ at equilibrium, upon addition of xenon gas at constant T \& p , the concentration of
Chemistry · Chemical Equilibrium · MCQ
Q7. $In the following reactions, which one is NOT correct?$
Chemistry · Compounds Containing Nitrogen · MCQ
Q8.Given below are two statements : Statement I : The N - N single bond is weaker and longer than that of P - P single bond. Statement II : Compounds of group 15 elements in +3 oxidation states readily undergo disproportionation reactions. In…
Chemistry · P Block Elements · MCQ
Q9. $Which compound would give 3-methyl-6-oxoheptanal upon ozonolysis?$
Chemistry · Hydrocarbons · MCQ
Q10.2 moles each of ethylene glycol and glucose are dissolved in 500 g of water. The boiling point of the resulting solution is: (Given : Ebullioscopic constant of water $= 0.52 K kg mol^{- 1}$ )
Chemistry · Solutions · MCQ
Q11.Which of the following properties will change when system containing solution 1 will become solution 2 ? Includes diagram
Chemistry · Solutions · MCQ
Q12. $Identify the correct statements from the following.$ $Choose the correct answer from the options given below:$ Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q13. $The least acidic compound, among the following is:$ Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q14.Among $1 0^{- 9} g$ (each) of the following elements, which one will have the highest number of atoms? Element: $Pb, Po, Pr$ and Pt
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q15.The metal ions that have the calculated spin-only magnetic moment value of 4.9 B.M. are : A. $Cr^{2 +}$ B. $Fe^{2 +}$ C. $Fe^{3 +}$ D. $Co^{2 +}$ E. $Mn^{3 +}$ Choose the correct answer from the…
Chemistry · D and F Block Elements · MCQ
Q16. $Which of the following is the correct structure of L-Fructose?$
Chemistry · Biomolecules · MCQ
Q17.Given below are two statements : Statement I : A catalyst cannot alter the equilibrium constant $(K_{c})$ of the reaction, temperature remaining constant. Statement II : A homogenous catalyst can change the…
Chemistry · Chemical Equilibrium · MCQ
Q18.Correct order of limiting molar conductivity for cations in water at 298 K is :
Chemistry · Electrochemistry · MCQ
Q19.In a reaction $A + B \to C$ , initial concentrations of $A$ and $B$ are related as $[A]_{0} = 8 [B]_{0}$ . The half lives of $A$ and $B$ are 10 min and 40 min , respectively. If they start to disappear at the same time, both following first…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q20.Number of molecules from below which cannot give iodoform reaction is : Ethanol, Isopropyl alcohol, Bromoacetone, 2-Butanol, 2-Butanone, Butanal, 2-Pentanone, 3-Pentanone, Pentanal and 3-Pentanol.
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q21. $During estimation of nitrogen by Dumas’ method of compound X (0.42 g)$ mL of $N_{2}$ gas will be liberated at STP. (nearest integer) (Given molar mass in $g mol^{- 1} : C : 12, H : 1, N : 14$ … Includes diagram
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q22.Consider the following reactions $A + Little amount NaCl + H_{2} SO_{4} \to CrO_{2} Cl_{2} + Side Products CrO_{2} Cl_{2 (Vapour)} + NaOH \to B + NaCl + H_{2} O B + H^{+} \to C + H_{2} O$ …
Chemistry · D and F Block Elements · Numerical
Q23.0.5 g of an organic compound on combustion gave 1.46 g of $CO_{2}$ and 0.9 g of $H_{2} O$ . The percentage of carbon in the compound is . (Nearest integer) [Given : Molar mass (in $g mol^{- 1}) C : 12, H : 1, O : 16$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q24.The number of optical isomers exhibited by the iron complex $(A)$ obtained from the following reaction is . $FeCl_{3} + KOH + H_{2} C_{2} O_{4} \to A$
Chemistry · Coordination Compounds · Numerical
Q25.Given : $Δ H^{⊖}_{sub} [C (graphite)] = 710 kJ mol^{- 1} Δ_{C - H} H^{⊖} = 414 kJ mol^{- 1} Δ_{H - H} H^{⊖} = 436 kJ mol^{- 1} Δ_{C} = C H^{⊖} = 611 kJ mol^{- 1}$ …
Chemistry · Thermodynamics · Numerical
Q26. $If the domain of the function f (x) = lo g_{e} (\frac{2 x - 3}{5 + 4 x}) + sin^{- 1} (\frac{4 + 3 x}{2 - x}) is [α, β), then α^{2} + 4 β is equal to$
Mathematics · Functions · MCQ
Q27.Let $a_{1}, a_{2}, a_{3}, \dots$ . be a G.P. of increasing positive numbers. If $a_{3} a_{5} = 729$ and $a_{2} + a_{4} = \frac{111}{4}$ , then $24 (a_{1} + a_{2} + a_{3})$ is equal to
Mathematics · Sequences and Series · MCQ
Q28.The sum $1 + 3 + 11 + 25 + 45 + 71 + \dots$ upto 20 terms, is equal to
Mathematics · Sequences and Series · MCQ
Q29. $The number of solutions of the equation 2 x + 3 tan x = π, x \in [- 2 π, 2 π] - {\pm \frac{π}{2}, \pm \frac{3 π}{2}} is:$
Mathematics · Trigonometric Functions and Equations · MCQ
Q30.Let $A = {- 3, - 2, - 1, 0, 1, 2, 3}$ . Let R be a relation on A defined by $x R y$ if and only if $0 \leq x^{2} + 2 y \leq 4$ . Let $l$ be the number of elements in R and $m$ be the minimum number of elements required to be added in R…
Mathematics · Sets and Relations · MCQ
Q31.The radius of the smallest circle which touches the parabolas $y = x^{2} + 2$ and $x = y^{2} + 2$ is
Mathematics · Parabola · MCQ
Q32. $Let f (x) = \int x^{3} 3 - x^{2} d x . If 5 f (2) = - 4, then f (1) is equal to$
Mathematics · Indefinite Integrals · MCQ
Q33.Let the domain of the function $f (x) = lo g_{2} lo g_{4} lo g_{6} (3 + 4 x - x^{2})$ be $(a, b)$ . If $\int_{0}^{b - a} [x^{2}] d x = p - q - r, p, q, r \in N, gcd (p, q, r) = 1$ , where $[\cdot]$ is the…
Mathematics · Definite Integration · MCQ
Q34.Let $α$ and $β$ be the roots of $x^{2} + 3 x - 16 = 0$ , and $γ$ and $δ$ be the roots of $x^{2} + 3 x - 1 = 0$ . If $P_{n} = α^{n} + β^{n}$ and $Q_{n} = γ^{n} + \overset{o}{^}^{n}$ , then $\frac{P _{25} + 3 P _{24}}{2 P _{23}} + \frac{Q _{25} - Q _{23}}{Q _{24}}$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q35.Let a line passing through the point $(4, 1, 0)$ intersect the line $L_{1} : \frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4}$ at the point $A (α, β, γ)$ and the line $L_{2} : x - 6 = y = - z + 4$ at the point $B (a, b, c)$ . Then $1 α a 0 β b 1 γ c$ …
Mathematics · 3D Geometry · MCQ
Q36.Let $f (x) = {(1 + a x)^{1/ x}, x 0$ be continuous at $x = 0$ . Then $e^{a} b c$ is equal to:
Mathematics · Limits Continuity and Differentiability · MCQ
Q37.A line passing through the point $P (5, 5)$ intersects the ellipse $\frac{x ^{2}}{36} + \frac{y ^{2}}{25} = 1$ at $A$ and $B$ such that $(P A) \cdot (P B)$ is maximum. Then $5 (P A^{2} + P B^{2})$ is equal to :
Mathematics · Ellipse · MCQ
Q38.Line $L_{1}$ passes through the point $(1, 2, 3)$ and is parallel to $z$ -axis. Line $L_{2}$ passes through the point $(λ, 5, 6)$ and is parallel to $y$ -axis. Let for $λ = λ_{1}, λ_{2}, λ_{2} < λ_{1}$ , the shortest…
Mathematics · 3D Geometry · MCQ
Q39.Let $g$ be a differentiable function such that $\int_{0}^{x} g (t) d t = x - \int_{0}^{x} tg (t) d t, x \geq 0$ and let $y = y (x)$ satisfy the differential equation $\frac{d y}{d x} - y tan x = 2 (x + 1) sec xg (x), x \in [0, \frac{π}{2})$ …
Mathematics · Differential Equations · MCQ
Q40.The sum of all rational terms in the expansion of $(2 + 3)^{8}$ is :
Mathematics · Binomial Theorem · MCQ
Q41.If $r = 1 \sum 9 (\frac{r + 3}{2 ^{r}}) \cdot^{9} C_{r} = α (\frac{3}{2})^{9} - β, α, β \in N$ , then $(α + β)^{2}$ is equal to
Mathematics · Binomial Theorem · MCQ
Q42.Let $z \in C$ be such that $\frac{z ^{2} + 3 i}{z - 2 + i} = 2 + 3 i$ . Then the sum of all possible values of $z^{2}$ is :
Mathematics · Complex Numbers · MCQ
Q43. $If y (x) = sin x 271 cos x 281 sin x + cos x + 1 271, x \in R, then \frac{d ^{2} y}{d x ^{2}} + y is equal to$
Mathematics · Differentiation · MCQ
Q44.A line passes through the origin and makes equal angles with the positive coordinate axes. It intersects the lines $L_{1} : 2 x + y + 6 = 0$ and $L_{2} : 4 x + 2 y - p = 0, p > 0$ , at the points A and B , respectively. If $A B = \frac{9}{2}$ …
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q45.Let $A$ be a matrix of order $3 \times 3$ and $∣ A ∣ = 5$ . If $∣2 adj (3 A adj (2 A)) ∣ = 2^{α} \cdot 3^{β} \cdot 5^{γ}, α, β, γ \in N$ , then $α + β + γ$ is equal to
Mathematics · Matrices and Determinants · MCQ
Q46.All five letter words are made using all the letters A, B, C, D, E and arranged as in an English dictionary with serial numbers. Let the word at serial number $n$ be denoted by $W_{n}$ . Let the probability $P (W_{n})$ …
Mathematics · Permutations and Combinations · Numerical
Q47.Let $a = \hat{i} + \hat{j} + \hat{k}, b = 3 \hat{i} + 2 \hat{j} - \hat{k}, c = λ \hat{j} + μ \hat{k}$ and $\hat{d}$ be a unit vector such that $a \times \hat{d} = b \times \hat{d}$ and $c \cdot \hat{d} = 1$ . If $c$ …
Mathematics · Vector Algebra · Numerical
Q48.Let the product of the focal distances of the point $P (4, 23)$ on the hyperbola $H : \frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ be 32 . Let the length of the conjugate axis of H be $p$ and the length of its latus rectum be $q$ …
Mathematics · Hyperbola · Numerical
Q49.The area of the region bounded by the curve $y = max {∣ x ∣, x ∣ x - 2∣}$ , the $x$ -axis and the lines $x = - 2$ and $x = 4$ is equal to
Mathematics · Area Under the Curves · Numerical
Q50.If the number of seven-digit numbers, such that the sum of their digits is even, is $m \cdot n \cdot 1 0^{n}; m, n \in {1, 2, 3, \dots, 9}$ , then $m + n$ is equal to
Mathematics · Permutations and Combinations · Numerical
Q51.A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of $800 cm^{3}$ and temperature $2 7^{\circ} C$ . The change in temperature when the gas is adiabatically…
Physics · Heat and Thermodynamics · MCQ
Q52.A person measures mass of 3 different particles as $435.42 g, 226.3 g$ and 0.125 g . According to the rules for arithmetic operations with significant figures, the addition of the masses of 3 particles will be.
Physics · Units and Measurements · MCQ
Q53.A wire of length 25 m and cross-sectional area $5 mm^{2}$ having resistivity of $2 \times 1 0^{- 6} Ω m$ is bent into a complete circle. The resistance between diametrically opposite points will be
Physics · Current Electricity · MCQ
Q54.The angle of projection of a particle is measured from the vertical axis as $ϕ$ and the maximum height reached by the particle is $h_{m}$ . Here $h_{m}$ as function of $ϕ$ can be presented as
Physics · Motion in A Plane · MCQ
Q55.The work function of a metal is 3 eV . The color of the visible light that is required to cause emission of photoelectrons is
Physics · Dual Nature of Radiation · MCQ
Q56. $Match the LIST-I with LIST-II$ Choose the correct answer from the options given below: Includes table
Physics · Gravitation · MCQ
Q57.Consider a completely full cylindrical water tank of height 1.6 m and of cross-sectional area $0.5 m^{2}$ . It has a small hole in its side at a height 90 cm from the bottom. Assume, the crosssectional area of the hole to be…
Physics · Properties of Matter · MCQ
Q58.Consider following statements for refraction of light through prism, when angle of deviation is minimum. A. The refracted ray inside prism becomes parallel to the base. B. Larger angle prisms provide smaller angle of minimum deviation. C.…
Physics · Geometrical Optics · MCQ
Q59.A parallel plate capacitor is filled equally(half) with two dielectrics of dielectric constants $ε_{1}$ and $ε_{2}$ , as shown in figures. The distance between the plates is $d$ and area of each plate is $A$ . If capacitance… Includes diagram
Physics · Capacitor · MCQ
Q60.During the melting of a slab of ice at 273 K at atmospheric pressure :
Physics · Heat and Thermodynamics · MCQ
Q61.A force of 49 N acts tangentially at the highest point of a sphere (solid) of mass 20 kg , kept on a rough horizontal plane. If the sphere rolls without slipping, then the acceleration of the center of the sphere is Includes diagram
Physics · Rotational Motion · MCQ
Q62.A piston of mass $M$ is hung from a massless spring whose restoring force law goes as $F = - k x^{3}$ , where k is the spring constant of appropriate dimension. The piston separates the vertical chamber into two parts, where the bottom part is… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q63. $Match the LIST-I with LIST-II$ $Choose the correct answer from the options given below:$ Includes table
Physics · Atoms and Nuclei · MCQ
Q64.A particle is released from height $S$ above the surface of the earth. At certain height its kinetic energy is three times its potential energy. The height from the surface of the earth and the speed of the particle at that instant are…
Physics · Work Power and Energy · MCQ
Q65.Two blocks of masses $m$ and $M, (M > m)$ , are placed on a frictionless table as shown in figure. A massless spring with spring constant k is attached with the lower block. If the system is slightly displaced and released, then ( $μ =$ … Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q66. $Which of the following curves possibly represent one-dimensional motion of a particle?$ Choose the correct answer from the options given below : Includes diagram
Physics · Motion in A Straight Line · MCQ
Q67.The radii of curvature for a thin convex lens are 10 cm and 15 cm respectively. The focal length of the lens is 12 cm . The refractive index of the lens material is
Physics · Geometrical Optics · MCQ
Q68.The electrostatic potential on the surface of uniformly charged spherical shell of radius $R = 10 cm$ is 120 V . The potential at the centre of shell, at a distance $r = 5 cm$ from centre, and at a…
Physics · Electrostatics · MCQ
Q69.The radiation pressure exerted by a 450 W light source on a perfectly reflecting surface placed at 2 m away from it, is
Physics · Dual Nature of Radiation · MCQ
Q70. $Choose the correct logic circuit for the given truth table having inputs A and B .$ Includes table
Physics · Electronic Devices · MCQ
Q71.In the figure shown below, a resistance of $150.4Ω$ is connected in series to an ammeter A of resistance $240Ω$ . A shunt resistance of $10Ω$ is connected in parallel with the ammeter. The reading of the ammeter is … Includes diagram
Physics · Current Electricity · Numerical
Q72.A loop ABCDA , carrying current $I = 12 A$ , is placed in a plane, consists of two semi-circular segments of radius $R_{1} = 6 π m$ and $R_{2} = 4 π m$ . The magnitude of the resultant magnetic field… Includes diagram
Physics · Magnetics · Numerical
Q73.Two coherent monochromatic light beams of intensities 4I and 9I are superimposed. The difference between the maximum and minimum intensities in the resulting interference pattern is $x I$ . The value of $x$ is …
Physics · Wave Optics · Numerical
Q74.Three identical spheres of mass m , are placed at the vertices of an equilateral triangle of length $a$ . When released, they interact only through gravitational force and collide after a time $T = 4$ seconds. If the sides of the…
Physics · Gravitation · Numerical
Q75.A 4.0 cm long straight wire carrying a current of 8 A is placed perpendicular to a uniform magnetic field of strength 0.15 T . The magnetic force on the wire is mN .
Physics · Magnetics · Numerical