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2025 · 24 Jan · Shift 1

75 questions · JEE Main

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2025 · 24 Jan · Shift 1

2025 · 24 Jan · Shift 1

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

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

Q1.For a reaction, $N_{2} O_{5 (g)} \to 2 NO_{2 (g)} + \frac{1}{2} O_{2 (g)}$ in a constant volume container, no products were present initially. The final pressure of the…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q2.The large difference between the melting and boiling points of oxygen and sulphur may be explained on the basis of
Chemistry · P Block Elements · MCQ
Q3.Given below are two statements I and II. Statement I : Dumas method is used for estimation of "Nitrogen" in an organic compound. Statement II : Dumas method involves the formation of ammonium sulphate by heating the organic compound with…
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.Consider the given plots of vapour pressure (VP) vs temperature(T/K). Which amongst the following options is correct graphical representation showing $Δ T_{f}$ , depression in the freezing point of a solvent in a…
Chemistry · Solutions · MCQ
Q5.Given below are two statements: Statement I: The conversion proceeds well in the less polar medium. $CH_{3} - CH_{2} - CH_{2} - CH_{2} - Cl HO^{-} CH_{3} - CH_{2} - CH_{2} - CH_{2} - OH + Cl^{(-)}$ … Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q6.Preparation of potassium permanganate from $MnO_{2}$ involves two step process in which the 1st step is a reaction with KOH and $KNO_{3}$ to produce
Chemistry · D and F Block Elements · MCQ
Q7.Which one of the carbocations from the following is most stable?
Chemistry · Basics of Organic Chemistry · MCQ
Q8.The product $(A)$ formed in the following reaction sequence is Includes diagram
Chemistry · Hydrocarbons · MCQ
Q9. $K_{sp}$ for $Cr (OH)_{3}$ is $1.6 \times 1 0^{- 30}$ . What is the molar solubility of this salt in water?
Chemistry · Ionic Equilibrium · MCQ
Q10.Which of the following linear combination of atomic orbitals will lead to formation of molecular orbitals in homonuclear diatomic molecules [internuclear axis in $z$ -direction] ? A. $2 p_{z}$ and $2 p_{x}$ …
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q11.Which of the following statements are NOT true about the periodic table? A. The properties of elements are function of atomic weights. B. The properties of elements are function of atomic numbers. C. Elements having similar outer…
Chemistry · Periodic Table and Periodicity · MCQ
Q12.One mole of the octahedral complex compound $Co (NH_{3})_{5} Cl_{3}$ gives 3 moles of ions on dissolution in water. One mole of the same complex reacts with excess of $AgNO_{3}$ solution to yield two…
Chemistry · Coordination Compounds · MCQ
Q13.Which of the following statement is true with respect to $H_{2} O, NH_{3}$ and $CH_{4}$ ? A. The central atoms of all the molecules are $sp^{3}$ hybridized. B. The $H - O - H, H - N - H$ …
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q14.Let us consider an endothermic reaction which is non-spontaneous at the freezing point of water. However, the reaction is spontaneous at boiling point of water. Choose the correct option.
Chemistry · Thermodynamics · MCQ
Q15.Which of the following arrangements with respect to their reactivity in nucleophilic addition reaction is correct?
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q16.The carbohydrate "Ribose" present in DNA, is A. A pentose sugar B. present in pyranose from C. in "D" configuration D. a reducing sugar, when free E. in $\propto$ -anomeric form Choose the correct answer from the options given below:
Chemistry · Biomolecules · MCQ
Q17.Aman has been asked to synthesise the molecule He thought of preparing the molecule using an aldol condensation reaction. He found a few cyclic alkenes in his laboratory. He thought of performing ozonolysis reaction on alkene to produce a… Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q18.For the given cell $Fe^{2 +} (aq) + Ag_{(aq)}^{+} \to Fe^{3 +} (aq) + Ag_{(s)}$ The standard cell potential of the above reaction is Given: $Ag^{+} + e^{-} \to Ag Fe^{2 +} + 2 e^{-} \to Fe Fe^{3 +} + 3 e^{-} \to Fe E^{θ} = xV E^{θ} = yV E^{θ} = zV$ …
Chemistry · Electrochemistry · MCQ
Q19.Following are the four molecules "P", "Q", "R" and "S". Which one among the four molecules will react with $H - Br_{(aq)}$ at the fastest rate? Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q20.Which of the following ions is the strongest oxidizing agent? (Atomic Number of $Ce = 58, Eu = 63, Tb = 65, Lu = 71$ )
Chemistry · D and F Block Elements · MCQ
Q21. $37.8 g N_{2} O_{5}$ was taken in a 1 L reaction vessel and allowed to undergo the following reaction at 500 K $2 N_{2} O_{5 (g)} ⇌ 2 N_{2} O_{4 (g)} + O_{2 (g)}$ …
Chemistry · Chemical Equilibrium · Numerical
Q22.Among the following cations, the number of cations which will give characteristic precipitate in their identification tests with $K_{4} [Fe (CN)_{6}]$ is . $Cu^{2 +}, Fe^{3 +}, Ba^{2 +}, Ca^{2 +}, NH_{4}^{+}, Mg^{2 +}, Zn^{2 +}$ …
Chemistry · Salt Analysis · Numerical
Q23.Consider the following reaction occurring in the blast furnace: $Fe_{3} O_{4 (s)} + 4 CO_{(g)} \to 3 Fe_{(l)} + 4 CO_{2 (g)}$ ' $x$ ' kg of iron is produced…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q24.Xg of benzoic acid on reaction with aq $NaHCO_{3}$ released $CO_{2}$ that occupied 11.2 L volume at STP. X is g.
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q25.Standard entropies of $X_{2}, Y_{2}$ and $XY_{5}$ are 70, 50 and $110 J K^{- 1} mol^{- 1}$ respectively. The temperature in Kelvin at which the reaction $\frac{1}{2} X_{2} + \frac{5}{2} Y_{2} ⇌ XY_{5} Δ H^{⊖} = - 35 kJ mol^{- 1}$ …
Chemistry · Thermodynamics · Numerical
Q26. $lim_{x \to 0} cosec x (2 cos^{2} x + 3 cos x - cos^{2} x + sin x + 4)$ is:
Mathematics · Limits Continuity and Differentiability · MCQ
Q27.Let $f : R - {0} \to R$ be a function such that $f (x) - 6 f (\frac{1}{x}) = \frac{35}{3 x} - \frac{5}{2}$ . If the $x \to 0 lim (\frac{1}{α x} + f (x)) = β; α, β \in R$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q28.The product of all the rational roots of the equation $(x^{2} - 9 x + 11)^{2} - (x - 4) (x - 5) = 3$ , is equal to
Mathematics · Quadratic Equation and Inequalities · MCQ
Q29.For some $n e q 10$ , let the coefficients of the 5 th, 6 th and 7 th terms in the binomial expansion of $(1 + x)^{n + 4}$ be in A.P. Then the largest coefficient in the expansion of $(1 + x)^{n + 4}$ is:
Mathematics · Binomial Theorem · MCQ
Q30.Let $f (x) = \frac{2 ^{x + 2} + 16}{2 ^{2 x + 1} + 2 ^{x + 4} + 32}$ . Then the value of $8 (f (\frac{1}{15}) + f (\frac{2}{15}) + \dots + f (\frac{59}{15}))$ is equal to
Mathematics · Functions · MCQ
Q31.If $I (m, n) = \int_{0}^{1} x^{m - 1} (1 - x)^{n - 1} d x, m, n > 0$ , then $I (9, 14) + I (10, 13)$ is
Mathematics · Definite Integration · MCQ
Q32.If $α$ and $β$ are the roots of the equation $2 z^{2} - 3 z - 2 i = 0$ , where $i = - 1$ , then $16 \cdot Re (\frac{α ^{19} + β ^{19} + α ^{11} + β ^{11}}{α ^{15} + β ^{15}}) \cdot lm (\frac{α ^{19} + β ^{19} + α ^{11} + β ^{11}}{α ^{15} + β ^{15}})$ …
Mathematics · Complex Numbers · MCQ
Q33.Let the product of the focal distances of the point $(3, \frac{1}{2})$ on the ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1, (a > b)$ , be $\frac{7}{4}$ . Then the absolute difference of the eccentricities of two such ellipses…
Mathematics · Ellipse · MCQ
Q34.Let $y = y (x)$ be the solution of the differential equation $(x y - 5 x^{2} 1 + x^{2}) d x + (1 + x^{2}) d y = 0, y (0) = 0$ . Then $y (3)$ is equal to
Mathematics · Differential Equations · MCQ
Q35.Let in a $△ A B C$ , the length of the side $A C$ be 6 , the vertex $B$ be $(1, 2, 3)$ and the vertices $\frac{x - 6}{3} = \frac{y - 7}{2} = \frac{z - 7}{- 2}$ lie on the line $\frac{x - 6}{3} = \frac{y - 7}{2} = \frac{z - 7}{- 2}$ . Then the area (in sq. units) of $△ A B C$ is:
Mathematics · 3D Geometry · MCQ
Q36.Let the line passing through the points $(- 1, 2, 1)$ and parallel to the line $\frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z}{4}$ intersect the line $\frac{x + 2}{3} = \frac{y - 3}{2} = \frac{z - 4}{1}$ at the point $P$ . Then the distance of $P$ from the point $Q (4, - 5, 1)$ …
Mathematics · 3D Geometry · MCQ
Q37. $A$ and $B$ alternately throw a pair of dice. A wins if he throws a sum of 5 before $B$ throws a sum of 8 , and $B$ wins if he throws a sum of 8 before $A$ throws a sum of 5 . The probability, that A wins if A makes the first throw, is
Mathematics · Probability · MCQ
Q38.Let $a = \hat{i} + 2 \hat{j} + 3 \hat{k}, b = 3 \hat{i} + \hat{j} - \hat{k}$ and $c$ be three vectors such that $c$ is coplanar with $a$ and $b$ . If the vector $C$ is perpendicular to $b$ and $a \cdot c = 5$ …
Mathematics · Vector Algebra · MCQ
Q39.Consider the region $R = {(x, y) : x \leq y \leq 9 - \frac{11}{3} x^{2}, x \geq 0}$ . The area, of the largest rectangle of sides parallel to the coordinate axes and inscribed in R , is:
Mathematics · Application of Derivatives · MCQ
Q40.The area of the region ${(x, y) : x^{2} + 4 x + 2 \leq y \leq ∣ x + 2∣}$ is equal to
Mathematics · Area Under the Curves · MCQ
Q41.Let $S_{n} = \frac{1}{2} + \frac{1}{6} + \frac{1}{12} + \frac{1}{20} + \dots$ upto $n$ terms. If the sum of the first six terms of an A.P. with first term -p and common difference p is $2026 S_{2025}$ , then the absolute difference…
Mathematics · Sequences and Series · MCQ
Q42.For a statistical data $x_{1}, x_{2}, \dots, x_{10}$ of 10 values, a student obtained the mean as 5.5 and $\sum_{i = 1}^{10} x_{i}^{2} = 371$ . He later found that he had noted two values in the data incorrectly as 4 and 5 ,…
Mathematics · Statistics · MCQ
Q43.Let the lines $3 x - 4 y - α = 0, 8 x - 11 y - 33 = 0$ , and $2 x - 3 y + λ = 0$ be concurrent. If the image of the point $(1, 2)$ in the line $2 x - 3 y + λ = 0$ is $(\frac{57}{13}, \frac{- 40}{13})$ , then $∣ α λ ∣$ is equal to
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q44.If the system of equations $2 x - y + z = 4 5 x + λ y + 3 z = 12 100 x - 47 y + μ z = 212$ has infinitely many solutions, then $μ - 2 λ$ is equal to
Mathematics · Matrices and Determinants · MCQ
Q45.Let circle $C$ be the image of $x^{2} + y^{2} - 2 x + 4 y - 4 = 0$ in the line $2 x - 3 y + 5 = 0$ and $A$ be the point on $C$ such that $O A$ is parallel to $x$ -axis and $A$ lies on the right hand side of the centre $O$ of $C$ . If $B (α, β)$ , with $β < 4$ …
Mathematics · Circle · MCQ
Q46.Let A be a $3 \times 3$ matrix such that $X^{T} AX = O$ for all nonzero $3 \times 1$ matrices $X = x y z$ . If $A 111 = 14 - 5, A 121 = 04 - 8$ …
Mathematics · Matrices and Determinants · Numerical
Q47.Let $f$ be a differentiable function such that $2 (x + 2)^{2} f (x) - 3 (x + 2)^{2} = 10 \int_{0}^{x} (t + 2) f (t) d t, x \geq 0$ . Then $f (2)$ is equal to .
Mathematics · Differential Equations · Numerical
Q48.Let $S = {p_{1}, p_{2} \dots, p_{10}}$ be the set of first ten prime numbers. Let $A = S \cup P$ , where $P$ is the set of all possible products of distinct elements of $S$ . Then the number of all ordered pairs $(x, y), x \in S$ , $y \in A$ …
Mathematics · Sets and Relations · Numerical
Q49.If for some $α, β; α \leq β, α + β = 8$ and $sec^{2} (tan^{- 1} α) + cosec^{2} (cot^{- 1} β) = 36$ , then $α^{2} + β$ is
Mathematics · Inverse Trigonometric Functions · Numerical
Q50.The number of 3 -digit numbers, that are divisible by 2 and 3 , but not divisible by 4 and 9 , is .
Mathematics · Permutations and Combinations · Numerical
Q51.An object of mass ' m ' is projected from origin in a vertical xy plane at an angle $4 5^{\circ}$ with the $x -$ axis with an initial velocity $v_{0}$ . The magnitude and direction of the angular momentum of the object with…
Physics · Motion in A Plane · MCQ
Q52.The Young's double slit interference experiment is performed using light consisting of 480 nm and 600 nm wavelengths to form interference patterns. The least number of the bright fringes of 480 nm light that are required for the first…
Physics · Wave Optics · MCQ
Q53.What is the relative decrease in focal length of a lens for an increase in optical power by 0.1 D from 2.5D ? ['D' stands for dioptre]
Physics · Geometrical Optics · MCQ
Q54.A car of mass ' $m$ ' moves on a banked road having radius ' $r$ ' and banking angle $θ$ . To avoid slipping from banked road, the maximum permissible speed of the car is $v_{0}$ . The coefficient of friction $μ$ between the wheels of the…
Physics · Circular Motion · MCQ
Q55.During the transition of electron from state A to state C of a Bohr atom, the wavelength of emitted radiation is $2000 A o$ and it becomes $6000 A o$ when the electron jumps from state B to state C. Then the…
Physics · Atoms and Nuclei · MCQ
Q56.A satellite is launched into a circular orbit of radius ' R ' around the earth. A second satellite is launched into an orbit of radius 1.03 R . The time period of revolution of the second satellite is larger than the first one…
Physics · Gravitation · MCQ
Q57.A particle is executing simple harmonic motion with time period 2 s and amplitude 1 cm . If D and d are the total distance and displacement covered by the particle in 12.5 s , then $\frac{D}{d}$ is
Physics · Simple Harmonic Motion · MCQ
Q58.An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a liquid of density $1000 kg / m^{3}$ . If the pressure inside the bubble is $2100 N / m^{2}$ greater than the atmospheric…
Physics · Properties of Matter · MCQ
Q59.An ideal gas goes from an initial state to final state. During the process, the pressure of gas increases linearly with temperature. A. The work done by gas during the process is zero. B. The heat added to gas is different from change in…
Physics · Heat and Thermodynamics · MCQ
Q60.Consider a parallel plate capacitor of area A (of each plate) and separation ' $d$ ' between the plates. If $E$ is the electric field and $ε_{0}$ is the permittivity of free space between the plates, then potential energy stored in…
Physics · Electrostatics · MCQ
Q61.A force $F = α + β x^{2}$ acts on an object in the x -direction. The work done by the force is 5 J when the object is displaced by 1 m . If the constant $α = 1 N$ then $β$ will be
Physics · Work Power and Energy · MCQ
Q62.Consider the following statements : A. The junction area of solar cell is made very narrow compared to a photo diode. B. Solar cells are not connected with any external bias. C. LED is made of lightly doped p-n junction. D. Increase of…
Physics · Electronic Devices · MCQ
Q63.A parallel plate capacitor was made with two rectangular plates, each with a length of $l = 3 cm$ and breath of $b = 1 cm$ . The distance between the plates is $3 μ m$ . Out of the following, which are…
Physics · Capacitor · MCQ
Q64.A thin plano convex lens made of glass of refractive index 1.5 is immersed in a liquid of refractive index 1.2. When the plane side of the lens is silver coated for complete reflection, the lens immersed in the liquid behaves like a…
Physics · Geometrical Optics · MCQ
Q65.A plano-convex lens having radius of curvature of first surface 2 cm exhibits focal length of $f_{1}$ in air. Another plano-convex lens with first surface radius of curvature 3 cm has focal length of $f_{2}$ when it is immersed in a liquid of…
Physics · Geometrical Optics · MCQ
Q66.An electron of mass ' m ' with an initial velocity $v = v_{0} \hat{i} (v_{0} > 0)$ enters an electric field $E = - E_{o} \hat{k}$ . If the…
Physics · Dual Nature of Radiation · MCQ
Q67.The amount of work done to break a big water drop of radius ' $R$ ' into 27 small drops of equal radius is 10 J . The work done required to break the same big drop into 64 small drops of equal radius will be
Physics · Properties of Matter · MCQ
Q68.A uniform solid cylinder of mass ' m ' and radius ' r ' rolls along an inclined rough plane of inclination $4 5^{\circ}$ . If it starts to roll from rest from the top of the plane then the linear acceleration of the cylinder's axis will be
Physics · Rotational Motion · MCQ
Q69.An alternating current is given by $I = I_{A} sin ω t + I_{B} cos ω t$ . The r.m.s current will be
Physics · Alternating Current · MCQ
Q70.For an experimental expression $y = \frac{32.3 \times 1125}{27.4}$ , where all the digits are significant. Then to report the value of $y$ we should write
Physics · Units and Measurements · MCQ
Q71.A wire of resistance $9Ω$ is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be ohm.
Physics · Current Electricity · Numerical
Q72.A current of 5 A exists in a square loop of side $\frac{1}{2} m$ . Then the magnitude of the magnetic field $B$ at the centre of the square loop will be $p \times 1 0^{- 6} T$ . where, value of p is $[$ …
Physics · Magnetics · Numerical
Q73.The least count of a screw guage is 0.01 mm . If the pitch is increased by $75%$ and number of divisions on the circular scale is reduced by $50%$ , the new least count will be $\times 1 0^{- 3} mm$
Physics · Units and Measurements · Numerical
Q74.The temperature of 1 mole of an ideal monoatomic gas is increased by $5 0^{\circ} C$ at constant pressure. The total heat added and change in internal energy are $E_{1}$ and $E_{2}$ , respectively. If $\frac{E _{1}}{E _{2}} = \frac{x}{9}$ then…
Physics · Heat and Thermodynamics · Numerical
Q75.A square loop of sides $a = 1 m$ is held normally in front of a point charge $q = 1 C$ at a distance $\frac{a}{2}$ . The flux of the electric field through the shaded region is $\frac{5}{p} \times \frac{1}{ε _{0}} \frac{Nm ^{2}}{C}$ … Includes diagram
Physics · Electrostatics · Numerical