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2025 · 29 Jan · Shift 2

75 questions · JEE Main

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2025 · 29 Jan · Shift 2

2025 · 29 Jan · Shift 2

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

Basics of Organic ChemistryChemistry · 2 questions BiomoleculesChemistry · 1 questions SolutionsChemistry · 1 questions Redox ReactionsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions Coordination CompoundsChemistry · 3 questions ElectrochemistryChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Structure of AtomChemistry · 2 questions ThermodynamicsChemistry · 1 questions HydrocarbonsChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Sets and RelationsMathematics · 1 questions Matrices and DeterminantsMathematics · 3 questions 3D GeometryMathematics · 2 questions FunctionsMathematics · 1 questions Vector AlgebraMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions ProbabilityMathematics · 1 questions Binomial TheoremMathematics · 1 questions EllipseMathematics · 1 questions CircleMathematics · 1 questions Differential EquationsMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Definite IntegrationMathematics · 3 questions Area Under the CurvesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions ParabolaMathematics · 1 questions Complex NumbersMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Center of MassPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Heat and ThermodynamicsPhysics · 4 questions Work Power and EnergyPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Geometrical OpticsPhysics · 3 questions Simple Harmonic MotionPhysics · 1 questions Units and MeasurementsPhysics · 2 questions Magnetic Properties of MatterPhysics · 1 questions Electronic DevicesPhysics · 1 questions ElectrostaticsPhysics · 2 questions CapacitorPhysics · 2 questions Motion in A Straight LinePhysics · 1 questions GravitationPhysics · 1 questions MagneticsPhysics · 1 questions

Q1.Given below are two statements : Statement (I): On nitration of m-xylene with $HNO_{3}, H_{2} SO_{4}$ followed by oxidation, 4-nitrobenzene-1,3-dicarboxylic acid is obtained as the major product. Statement (II) : $- CH_{3}$ …
Chemistry · Basics of Organic Chemistry · MCQ
Q2.Identify the essential amino acids from below: (A) Valine (B) Proline (C) Lysine (D) Threonine (E) Tyrosine Choose the correct answer from the options given below:
Chemistry · Biomolecules · MCQ
Q3.Given below are two statements : Statement (I): NaCl is added to the ice at 0°C, present in the ice cream box to prevent the melting of ice cream. Statement (II): On addition of NaCl to ice at 0°C, there is a depression in freezing point.…
Chemistry · Solutions · MCQ
Q4.Given below are two statements : Statement (I): In partition chromatography, stationary phase is thin film of liquid present in the inert support. Statement (II): In paper chromatography, the material of paper acts as a stationary phase.…
Chemistry · Basics of Organic Chemistry · MCQ
Q5.0.1 M solution of KI reacts with excess of $H_{2} SO_{4}$ and $KIO_{3}$ solutions. According to equation $5 I^{-} + IO_{3}^{-} + 6 H^{+} \to 3 I_{2} + 3 H_{2} O$ …
Chemistry · Redox Reactions · MCQ
Q6.The type of oxide formed by the element among Li, Na, Be, Mg, B and Al that has the least atomic radius is :
Chemistry · Periodic Table and Periodicity · MCQ
Q7.Which one of the following reaction sequences will give an azo dye?
Chemistry · Compounds Containing Nitrogen · MCQ
Q8.Identify the homoleptic complexes with odd number of $d$ electrons in the central metal : (A) $[FeO_{4}]^{2 -}$ (B) $[Fe (CN)_{6}]^{3 -}$ (C) $\left[\mathrm{Fe}(\mathrm{CN})_5…
Chemistry · Coordination Compounds · MCQ
Q9.Match List - I with List - II : Choose the correct answer from the options given below : Includes table
Chemistry · Electrochemistry · MCQ
Q10.Which one of the following, with HBr will give a phenol?
Chemistry · Alcohols Phenols and Ethers · MCQ
Q11.The calculated spin-only magnetic moments of $K_{3} [F e (O H)_{6}]$ and $K_{4} [F e (O H)_{6}]$ respectively are :
Chemistry · Coordination Compounds · MCQ
Q12.Consider the equilibrium $CO (g) + 3 H_{2} (g) ⇌ CH_{4} (g) + H_{2} O (g)$ If the pressure applied over the system increases by two fold at constant…
Chemistry · Chemical Equilibrium · MCQ
Q13.First ionisation enthalpy values of first four group 15 elements are given below. Choose the correct value for the element that is a main component of apatite family :
Chemistry · Periodic Table and Periodicity · MCQ
Q14.For hydrogen like species, which of the following graphs provides the most appropriate representation of E vs Z plot for a constant n? [E : Energy of the stationary state, Z : atomic number, n = principal quantum number]
Chemistry · Structure of Atom · MCQ
Q15.If $C$ (diamond $) \to C$ (graphite) $+ X kJ mol^{- 1}$ C (diamond) $+ O_{2} (g) \to CO_{2} (g) + Y kJ mol^{- 1}$ C (graphite) $+ O_{2} (g) \to CO_{2} (g) + Z kJ mol^{- 1}$ …
Chemistry · Thermodynamics · MCQ
Q16.Given below are two statements : Statement (I): It is impossible to specify simultaneously with arbitrary precision, both the linear momentum and the position of a particle. Statement (II) : If the uncertainty in the measurement of…
Chemistry · Structure of Atom · MCQ
Q17.Total number of sigma (σ) and pi(π) bonds respectively present in hex-1-en-4-yne are:
Chemistry · Hydrocarbons · MCQ
Q18.Which among the following halides will generate the most stable carbocation in the nucleophilic substitution reaction?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q19.Drug $X$ becomes ineffective after $50%$ decomposition. The original concentration of drug in a bottle was $16 mg / mL$ which becomes $4 mg / mL$ in 12 months. The expiry time of the drug in months is …
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q20. $O_{2}$ gas will be evolved as a product of electrolysis of : (A) an aqueous solution of $AgNO_{3}$ using silver electrodes. (B) an aqueous solution of $AgNO_{3}$ using platinum electrodes. (C) a dilute solution of $H_{2} SO_{4}$ …
Chemistry · Electrochemistry · MCQ
Q21.Total number of non-bonded electrons present in $N O_{2}$ $-$ ion based on Lewis theory is .
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q22.Consider the following low-spin complexes $K_{3} [Co (NO_{2})_{6}], K_{4} [Fe (CN)_{6}], K_{3} [Fe (CN)_{6}], Cu_{2} [Fe (CN)_{6}] and Zn_{2} [Fe (CN)_{6}]$ …
Chemistry · Coordination Compounds · Numerical
Q23.In the sulphur estimation, 0.20 g of a pure organic compound gave 0.40 g of barium sulphate. The percentage of sulphur in the compound is $\times 1 0^{- 1} %$ . (Molar mass : $O = 16, S = 32, Ba = 137$ …
Chemistry · Practical Organic Chemistry · Numerical
Q24.In the Claisen-Schmidt reaction to prepare, dibenzalacetone from 5.3 g of benzaldehyde, a total of 3.51 g of product was obtained. The percentage yield in this reaction was %.
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q25.Isomeric hydrocarbons → negative Baeyer’s test (Molecular formula $C_{9} H_{12}$ ) The total number of isomers from above with four different non-aliphatic substitution sites is -
Chemistry · Hydrocarbons · Numerical
Q26.Let $S = N \cup {0}$ . Define a relation R from S to $R$ by : $R = {(x, y) : lo g_{e} y = x lo g_{e} (\frac{2}{5}), x \in S, y \in R} .$ Then, the…
Mathematics · Sets and Relations · MCQ
Q27.Let $A = [a_{ij}]$ be a $2 \times 2$ matrix such that $a_{ij} \in {0, 1}$ for all $i$ and $j$ . Let the random variable $X$ denote the possible values of the determinant of the matrix $A$ . Then, the variance of $X$ is:
Mathematics · Matrices and Determinants · MCQ
Q28.Let a straight line $L$ pass through the point $P (2, - 1, 3)$ and be perpendicular to the lines $\frac{x - 1}{2} = \frac{y + 1}{1} = \frac{z - 3}{- 2}$ and $\frac{x - 3}{1} = \frac{y - 2}{3} = \frac{z + 2}{4}$ . If the line $L$ intersects the…
Mathematics · 3D Geometry · MCQ
Q29.If the domain of the function $lo g_{5} (18 x - x^{2} - 77)$ is $(α, β)$ and the domain of the function $lo g_{(x - 1)} (\frac{2 x ^{2} + 3 x - 2}{x ^{2} - 3 x - 4})$ is $(γ, δ)$ , then $α^{2} + β^{2} + γ^{2}$ is…
Mathematics · Functions · MCQ
Q30.Let $\overset{a}{^}$ be a unit vector perpendicular to the vectors $b = \hat{i} - 2 \hat{j} + 3 \hat{k}$ and $c = 2 \hat{i} + 3 \hat{j} - \hat{k}$ , and $\overset{a}{^}$ makes an angle of $cos^{- 1} (- \frac{1}{3})$ with the vector $\hat{i} + \hat{j} + \hat{k}$ …
Mathematics · Vector Algebra · MCQ
Q31.Let $α, β (α e q β)$ be the values of $m$ , for which the equations $x + y + z = 1$ , $x + 2 y + 4 z = m$ and $x + 4 y + 10 z = m^{2}$ have infinitely many solutions. Then the value of $n = 1 \sum 10 (n^{α} + n^{β})$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q32.If the set of all $a \in R$ , for which the equation $2 x^{2} + (a - 5) x + 15 = 3 a$ has no real root, is the interval ( $X = ∣ x \in Z; α < x < β ∣$ ), and $X = ∣ x \in Z; α < x < β ∣$ , then $x \in X \sum x^{2}$ is equal to:
Mathematics · Quadratic Equation and Inequalities · MCQ
Q33.Let the line x + y = 1 meet the axes of x and y at A and B, respectively. A right angled triangle AMN is inscribed in the triangle OAB, where O is the origin and the points M and N lie on the lines OB and AB, respectively. If the area of…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q34.Bag 1 contains 4 white balls and 5 black balls, and Bag 2 contains n white balls and 3 black balls. One ball is drawn randomly from Bag 1 and transferred to Bag 2. A ball is then drawn randomly from Bag 2. If the probability, that the ball…
Mathematics · Probability · MCQ
Q35.The remainder, when $7^{103}$ is divided by 23, is equal to:
Mathematics · Binomial Theorem · MCQ
Q36.If $α x + β y = 109$ is the equation of the chord of the ellipse $\frac{x ^{2}}{9} + \frac{y ^{2}}{4} = 1$ , whose mid point is $(\frac{5}{2}, \frac{1}{2})$ . then $α + β$ is equal to :
Mathematics · Ellipse · MCQ
Q37.Let a circle C pass through the points (4, 2) and (0, 2), and its centre lie on 3x + 2y + 2 = 0. Then the length of the chord, of the circle C, whose mid-point is (1, 2), is:
Mathematics · Circle · MCQ
Q38.If for the solution curve $y = f (x)$ of the differential equation $\frac{d y}{d x} + (tan x) y = \frac{2 + s e c x}{( 1 + 2 s e c x ) ^{2}}$ , $x \in (\frac{- π}{2}, \frac{π}{2}), f (\frac{π}{3}) = \frac{3}{10}$ , then $f (\frac{π}{4})$ …
Mathematics · Differential Equations · MCQ
Q39.Let $A = [a_{ij}]$ be a matrix of order $3 \times 3$ , with $a_{ij} = (2)^{i + j}$ . If the sum of all the elements in the third row of $A^{2}$ is $α + β 2, α, β \in Z$ , then…
Mathematics · Matrices and Determinants · MCQ
Q40.If $sin x + sin^{2} x = 1$ , $x \in (0, \frac{π}{2})$ , then $(cos^{12} x + tan^{12} x) + 3 (cos^{10} x + tan^{10} x + cos^{8} x + tan^{8} x) + (cos^{6} x + tan^{6} x)$ is equal to:
Mathematics · Trigonometric Ratio and Identites · MCQ
Q41.Let $f (x) = 0 \int x t (t^{2} - 9 t + 20) dt, 1 \leq x \leq 5$ . If the range of $f$ is $[α, β]$ , then $4 (α + β)$ equals :
Mathematics · Definite Integration · MCQ
Q42.Let the area enclosed between the curves $∣ y ∣ = 1 - x^{2}$ and $x^{2} + y^{2} = 1$ be $α$ . If $9 α = β π + γ; β, γ$ are integers, then the value of $∣ β - γ ∣$ equals:
Mathematics · Area Under the Curves · MCQ
Q43.Let P be the foot of the perpendicular from the point $(1, 2, 2)$ on the line $L : \frac{x - 1}{1} = \frac{y + 1}{- 1} = \frac{z - 2}{2}$ . Let the line $r = (- \hat{i} + \hat{j} - 2 \hat{k}) + λ (\hat{i} - \hat{j} + \hat{k}), λ \in R$ …
Mathematics · 3D Geometry · MCQ
Q44.If all the words with or without meaning made using all the letters of the word "KANPUR" are arranged as in a dictionary, then the word at 440th position in this arrangement is :
Mathematics · Permutations and Combinations · MCQ
Q45.Let the function $f (x) = (x^{2} - 1) x^{2} - a x + 2 + cos ∣ x ∣$ be not differentiable at the two points $x = α = 2$ and $x = β$ . Then the distance of the point $(α, β)$ from the line $12 x + 5 y + 10 = 0$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q46.If $24 0 \int \frac{π}{4} [sin 4 x - \frac{π}{12} + [2 sin x]] d x = 2 π + α$ , where $[\cdot]$ denotes the greatest integer function, then $α$ is equal to .
Mathematics · Definite Integration · Numerical
Q47.Let $y^{2} = 12 x$ be the parabola and $S$ be its focus. Let $P Q$ be a focal chord of the parabola such that $(S P) (S Q) = \frac{147}{4}$ . Let $C$ be the circle described taking $P Q$ as a diameter. If the equation of a circle $C$ is $64 x^{2} + 64 y^{2} - α x - 643 y = β$ …
Mathematics · Parabola · Numerical
Q48.Let integers $a, b \in [- 3, 3]$ be such that $a + b e q 0$ . Then the number of all possible ordered pairs (a, b), for which $\frac{z - a}{z + b} = 1$ and $z + 1 ω ω^{2} ω z + ω^{2} 1 ω^{2} 1 z + ω = 1, z \in C$ …
Mathematics · Complex Numbers · Numerical
Q49.If $t \to 0 lim (0 \int 1 (3 x + 5)^{t} d x)^{\frac{1}{t}} = \frac{α}{5 e} (\frac{8}{5})^{\frac{2}{3}}$ , then $α$ is equal to .
Mathematics · Definite Integration · Numerical
Q50.Let $a_{1}, a_{2}, \dots, a_{2024}$ be an Arithmetic Progression such that $a_{1} + (a_{5} + a_{10} + a_{15} + \dots + a_{2020}) + a_{2024} = 2233$ . Then $a_{1} + a_{2} + a_{3} + \dots + a_{2024}$ is equal to .
Mathematics · Sequences and Series · Numerical
Q51.Three equal masses $m$ are kept at vertices $(A, B, C)$ of an equilateral triangle of side a in free space. At $t = 0$ , they are given an initial velocity $V_{A} = V_{0} A C, V_{B} = V_{0} B A$ … Includes diagram
Physics · Center of Mass · MCQ
Q52.In an experiment with photoelectric effect, the stopping potential,
Physics · Dual Nature of Radiation · MCQ
Q53.The number of spectral lines emitted by atomic hydrogen that is in the 4th energy level, is
Physics · Atoms and Nuclei · MCQ
Q54.The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have
Physics · Heat and Thermodynamics · MCQ
Q55.Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : With the increase in the pressure of an ideal gas, the volume falls off more rapidly in an isothermal process in…
Physics · Heat and Thermodynamics · MCQ
Q56.A sand dropper drops sand of mass m(t) on a conveyer belt at a rate proportional to the square root of speed (v) of the belt, i.e., $\frac{d m}{d t} \propto v$ . If P is the power delivered to run the belt at constant speed then which…
Physics · Work Power and Energy · MCQ
Q57.A plane electromagnetic wave propagates along the + x direction in free space. The components of the electric field, $E$ and magnetic field, $B$ vectors associated with the wave in Cartesian frame are
Physics · Electromagnetic Waves · MCQ
Q58.A cup of coffee cools from 90°C to 80°C in t minutes when the room temperature is 20°C. The time taken by the similar cup of coffee to cool from 80°C to 60°C at the same room temperature is:
Physics · Heat and Thermodynamics · MCQ
Q59.A convex lens made of glass (refractive index = 1.5) has focal length 24 cm in air. When it is totally immersed in water (refractive index = 1.33), its focal length changes to
Physics · Geometrical Optics · MCQ
Q60.Two bodies A and B of equal mass are suspended from two massless springs of spring constant k1 and k2, respectively. If the bodies oscillate vertically such that their amplitudes are equal, the ratio of the maximum velocity of A to the…
Physics · Simple Harmonic Motion · MCQ
Q61.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Physics · Units and Measurements · MCQ
Q62.Match List - I with List - II. Choose the correct answer from the options given below: Includes table
Physics · Magnetic Properties of Matter · MCQ
Q63.Two concave refracting surfaces of equal radii of curvature and refractive index 1.5 face each other in air as shown in figure. A point object O is placed midway, between P and B. The separation between the images of O, formed by each… Includes diagram
Physics · Geometrical Optics · MCQ
Q64.The truth table for the circuit given below is: Includes diagram
Physics · Electronic Devices · MCQ
Q65.A poly-atomic molecule $(C_{V} = 3 R, C_{P} = 4 R$ , where $R$ is gas constant) goes from phase space point $A (P_{A} = 1 0^{5} Pa, V_{A} = 4 \times 1 0^{- 6} m^{3})$ to… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q66.Two identical symmetric double convex lenses of focal length f are cut into two equal parts L1, L2 by AB plane and L3, L4 by XY plane as shown in figure respectively. The ratio of focal lengths of lenses L1 and L3 is Includes diagram
Physics · Geometrical Optics · MCQ
Q67.A point charge causes an electric flux of $- 2 \times 1 0^{4} Nm^{2} C^{- 1}$ to pass through a spherical Gaussian surface of 8.0 cm radius, centred on the charge. The value of the point charge is : (Given $ϵ_{0} = 8.85 \times 1 0^{- 12} C^{2} N^{- 1} m^{- 2}$ …
Physics · Electrostatics · MCQ
Q68.A capacitor, $C_{1} = 6 μ F$ is charged to a potential difference of $V_{0} = 5 V$ using a 5V battery. The battery is removed and another capacitor, $C_{2} = 12 μ F$ is inserted in place of the battery. When the switch 'S' is closed, the… Includes diagram
Physics · Capacitor · MCQ
Q69.An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density $σ_{o}$ . Choose the correct option from the following. Includes diagram
Physics · Electrostatics · MCQ
Q70.Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Three identical spheres of same mass undergo one dimensional motion as shown in figure with initial velocities $v_{A} = 5 m / s, v_{B} = 2 m / s, v_{C} = 4 m / s$ … Includes diagram
Physics · Center of Mass · MCQ
Q71. $A physical quantity Q is related to four observables a, b, c, d as follows : Q = \frac{a b ^{4}}{c d}$ where, $a = (60 \pm 3) Pa; b = (20 \pm 0.1) m; c = (40 \pm 0.2) Nsm^{- 2}$ …
Physics · Units and Measurements · Numerical
Q72.Two cars P and Q are moving on a road in the same direction. Acceleration of car P increases linearly with time whereas car Q moves with a constant acceleration. Both cars cross each other at time t = 0, for the first time. The maximum…
Physics · Motion in A Straight Line · Numerical
Q73.Two planets, $A$ and $B$ are orbiting a common star in circular orbits of radii $R_{A}$ and $R_{B}$ , respectively, with $R_{B} = 2 R_{A}$ . The planet $B$ is $42$ times more massive than planet $A$ . The ratio $(\frac{L _{B}}{L _{A}})$ …
Physics · Gravitation · Numerical
Q74.A parallel plate capacitor consisting of two circular plates of radius 10 cm is being charged by a constant current of 0.15 A . If the rate of change of potential difference between the plates is $7 \times 1 0^{8} V / s$ …
Physics · Capacitor · Numerical
Q75.The magnetic field inside a 200 turns solenoid of radius 10 cm is $2.9 \times 1 0^{- 4} Tesla$ . If the solenoid carries a current of 0.29 A , then the length of the solenoid is $π cm$ .
Physics · Magnetics · Numerical