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 · 7 Apr · 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 · 7 Apr · Shift 2

2025 · 7 Apr · Shift 2

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

Coordination CompoundsChemistry · 4 questions P Block ElementsChemistry · 1 questions BiomoleculesChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 2 questions Practical Organic ChemistryChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions SolutionsChemistry · 2 questions ThermodynamicsChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions ElectrochemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Application of DerivativesMathematics · 1 questions Differential EquationsMathematics · 1 questions Complex NumbersMathematics · 1 questions Sequences and SeriesMathematics · 2 questions ProbabilityMathematics · 2 questions FunctionsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions EllipseMathematics · 2 questions HyperbolaMathematics · 2 questions 3D GeometryMathematics · 2 questions Area Under the CurvesMathematics · 1 questions Trigonometric Functions and EquationsMathematics · 1 questions Sets and RelationsMathematics · 1 questions Vector AlgebraMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Binomial TheoremMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Indefinite IntegralsMathematics · 1 questions Units and MeasurementsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Motion in A PlanePhysics · 1 questions Geometrical OpticsPhysics · 3 questions Work Power and EnergyPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions GravitationPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions ElectrostaticsPhysics · 3 questions Atoms and NucleiPhysics · 1 questions Properties of MatterPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions Electronic DevicesPhysics · 1 questions WavesPhysics · 1 questions Rotational MotionPhysics · 1 questions Alternating CurrentPhysics · 1 questions CapacitorPhysics · 1 questions Laws of MotionPhysics · 1 questions

Q1.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Chemistry · Coordination Compounds · MCQ
Q2.The correct statements from the following are : (A) $T l^{3 +}$ is a powerful oxidising agent (B) $A l^{3 +}$ does not get reduced easily (C) Both $A l^{3 +}$ and $T l^{3 +}$ are very stable in solution (D) $T l^{1 +}$ is more stable than $T l^{3 +}$ …
Chemistry · P Block Elements · MCQ
Q3.Given below are two statements : Statement (I) : On hydrolysis, oligo peptides give rise to fewer number of α-amino acids while proteins give rise to a large number of β-amino acids. Statement (II) : Natural proteins are denatured by acids…
Chemistry · Biomolecules · MCQ
Q4.The descending order of basicity of the following amines is : (D) $CH_{3} NH_{2}$ (E) $(CH_{3})_{2} NH$ Choose the correct answer from the options given below : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q5.In $S O_{2}$ , $N O_{2}$ $-$ and $N_{3}$ $-$ , the hybridizations at the central atom are respectively :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q6.The number of optically active products obtained from the complete ozonolysis of the given compound is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q7.A mixture of 1 g each of chlorobenzene, aniline, and benzoic acid is dissolved in 50 mL ethyl acetate and placed in a separating funnel. 5 M NaOH (30 mL) was added in the same funnel. The funnel was shaken vigorously and then kept aside.…
Chemistry · Practical Organic Chemistry · MCQ
Q8." P " is an optically active compound with molecular formula $C_{6} H_{12} O$ . When ' P ' is treated with 2, 4-dinitrophenylhydrazine, it gives a positive test. However, in presence of Tollens reagent, " P " gives…
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q9.Given below are two statements : Statement (I) : is more polar than Statement (II) : Boiling point of is lower than but it is more polar than . In the light of the above statements, choose the most appropriate answer from the options given… Includes diagram
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q10.Choose the incorrect trend in the atomic radii (r) of the elements.
Chemistry · Periodic Table and Periodicity · MCQ
Q11.Match List - I with List - II. Choose the correct answer from the options given below : Includes table Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.Liquid A and B form an ideal solution. The vapour pressures of pure liquids A and B are 350 and 750 mm Hg respectively at the same temperature. If $x_{A}$ and $x_{B}$ are the mole fraction of A and B in solution while $y_{A}$ and $y_{B}$ are the…
Chemistry · Solutions · MCQ
Q13.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Chemistry · Solutions · MCQ
Q14.The hydration energies of $K^{+}$ and $C l^{-}$ are $- x$ and $- y$ kJ/mol respectively. If the lattice energy of KCl is $- z$ kJ/mol, then the heat of solution of KCl is :
Chemistry · Thermodynamics · MCQ
Q15.The number of unpaired electrons responsible for the paramagnetic nature of the following complex species are respectively : $[F e (C N)_{6}]^{3 -}$ , $[F e F_{6}]^{3 -}$ , $[C o F_{6}]^{3 -}$ , $[M n (C N)_{6}]^{3 -}$
Chemistry · Coordination Compounds · MCQ
Q16.A(g) → B(g) + C(g) is a first order reaction. The reaction was started with reactant A only. Which of the following expressions is correct for rate constant k? Includes table
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q17.Given below are two statements : 1 M aqueous solutions of each of $C u (N O_{3})_{2}$ , $A g N O_{3}$ , $H g_{2} (N O_{3})_{2}$ , $M g (N O_{3})_{2}$ are electrolysed using inert electrodes. Given: E0 $A g^{+}$ /Ag = 0.80 V, E0 $H g_{2}^{2 +}$ /Hg = 0.79 V, E0 $C u^{2 +}$ /Cu = 0.24 V…
Chemistry · Electrochemistry · MCQ
Q18.The extra stability of half-filled subshell is due to : (A) Symmetrical distribution of electrons (B) Smaller coulombic repulsion energy (C) The presence of electrons with the same spin in non-degenerate orbitals (D) Larger exchange energy…
Chemistry · Structure of Atom · MCQ
Q19.'X' is the number of acidic oxides among $V O_{2}$ , $V_{2} O_{3}$ , $C r O_{3}$ , $V_{2} O_{5}$ and $M n_{2} O_{7}$ . The primary valency of cobalt in $[C o (H_{2} N C H_{2} C H_{2} N H_{2})_{3}]_{2} (S O_{4})_{3}$ is Y. The value of X + Y is .
Chemistry · Coordination Compounds · MCQ
Q20.The correct statement amongst the following is :
Chemistry · Thermodynamics · MCQ
Q21.In Dumas' method 292 mg of an organic compound released 50 mL of nitrogen gas $(N_{2})$ at 300 K temperature and 715 mm Hg pressure. The percentage composition of ' N ' in the organic compound is…
Chemistry · Practical Organic Chemistry · Numerical
Q22.Butane reacts with oxygen to produce carbon dioxide and water following the equation given below. $C_{4} H_{10} (g) + \frac{13}{2} O_{2} (g) \to 4 CO_{2} (g) + 5 H_{2} O (l)$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q23.The number of paramagnetic metal complex species among $[Co (NH_{3})_{6}]^{3 +}, [Co (C_{2} O_{4})_{3}]^{3 -}$ , $[MnCl_{6}]^{3 -}, [Mn (CN)_{6}]^{3 -}, [CoF_{6}]^{3 -}, [Fe (CN)_{6}]^{3 -}$ …
Chemistry · Coordination Compounds · Numerical
Q24.One litre buffer solution was prepared by adding 0.10 mol each of $NH_{3}$ and $NH_{4} Cl$ in deionised water. The change in pH on addition of 0.05 mol of HCl to the above solution is $\times 1 0^{- 2}$ …
Chemistry · Ionic Equilibrium · Numerical
Q25.Identify the structure of the final product (D) in the following sequence of the reactions : Total number of $sp^{2}$ hybridised carbon atoms in product D is . Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q26.Let f : ℝ $\to$ ℝ be a polynomial function of degree four having extreme values at x = 4 and x = 5. If $x \to 0 lim \frac{f ( x )}{x ^{2}} = 5$ , then f(2) is equal to :
Mathematics · Application of Derivatives · MCQ
Q27.Let y = y(x) be the solution of the differential equation $(x^{2} + 1) y^{'} - 2 x y = (x^{4} + 2 x^{2} + 1) cos x$ , $y (0) = 1$ . Then $- 3 \int 3 y (x) d x$ is :
Mathematics · Differential Equations · MCQ
Q28.If the locus of z ∈ ℂ, such that Re $(\frac{z - 1}{2 z + i}) + Re (\frac{z - 1}{2 z - i}) = 2$ , is a circle of radius r and center $(a, b)$ , then $\frac{15 ab}{r ^{2}}$ is equal to :
Mathematics · Complex Numbers · MCQ
Q29.Let $a_{n}$ be the $n^{t h}$ term of an A.P. If $S_{n} = a_{1} + a_{2} + a_{3} + \dots + a_{n} = 700$ , $a_{6} = 7$ and $S_{7} = 7$ , then $a_{n}$ is equal to :
Mathematics · Sequences and Series · MCQ
Q30.A bag contains 19 unbiased coins and one coin with head on both sides. One coin drawn at random is tossed and head turns up. If the probability that the drawn coin was unbiased, is $\frac{m}{n}$ , $g cd (m, n) = 1$ , then $n^{2} - m^{2}$ is equal…
Mathematics · Probability · MCQ
Q31.If the range of the function $f (x) = \frac{5 - x}{x ^{2} - 3 x + 2}, x e q 1, 2,$ is $(- \infty, α] \cup [β, \infty)$ , then $α^{2} + β^{2}$ is equal to :
Mathematics · Functions · MCQ
Q32.The number of real roots of the equation $x ∣ x - 2∣ + 3∣ x - 3∣ + 1 = 0$ is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q33.Let the length of a latus rectum of an ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ be 10. If its eccentricity is the minimum value of the function $f (t) = t^{2} + t + \frac{11}{12}$ , $t \in R$ , then $a^{2} + b^{2}$ is equal to :
Mathematics · Ellipse · MCQ
Q34.Let e1 and e2 be the eccentricities of the ellipse $\frac{x ^{2}}{b ^{2}} + \frac{y ^{2}}{25} = 1$ and the hyperbola $\frac{x ^{2}}{16} - \frac{y ^{2}}{b ^{2}} = 1$ , respectively. If b < 5 and e1e2 = 1, then the eccentricity of the ellipse having its…
Mathematics · Hyperbola · MCQ
Q35.If the equation of the line passing through the point $(0, - \frac{1}{2}, 0)$ and perpendicular to the lines $r = λ (\hat{i} + a \hat{j} + b \hat{k})$ and $r = (\hat{i} - \hat{j} - 6 \hat{k}) + μ (- b \hat{i} + a \hat{j} + 5 \hat{k})$ …
Mathematics · 3D Geometry · MCQ
Q36.If the sum of the second, fourth and sixth terms of a G.P. of positive terms is 21 and the sum of its eighth, tenth and twelfth terms is 15309, then the sum of its first nine terms is :
Mathematics · Sequences and Series · MCQ
Q37.If the area of the region ${(x, y) : 1 + x^{2} \leq y \leq min {x + 7, 11 - 3 x}}$ is $A$ , then $3 A$ is equal to :
Mathematics · Area Under the Curves · MCQ
Q38.The number of solutions of the equation $cos 2 θ cos \frac{θ}{2} + cos \frac{5 θ}{2} = 2 cos^{3} \frac{5 θ}{2}$ in $[- \frac{π}{2}, \frac{π}{2}]$ is :
Mathematics · Trigonometric Functions and Equations · MCQ
Q39.Consider the lines L1: x - 1 = y - 2 = z and L2: x - 2 = y = z - 1. Let the feet of the perpendiculars from the point P(5, 1, -3) on the lines L1 and L2 be Q and R respectively. If the area of the triangle PQR is A, then 4A2 is equal to :
Mathematics · 3D Geometry · MCQ
Q40.Let A = { ( $\in R \times R$ ) $\in R \times R$ : | $α$ - 1| $β$ and | $β$ - 5| $α, β$ } and B = { ( $\in R \times R$ ) $\in R \times R$ : 16( $α$ - $2)^{2}$ + 9( $β$ - $6)^{2} \leq 144$ }. Then
Mathematics · Sets and Relations · MCQ
Q41.Let $a$ and $b$ be the vectors of the same magnitude such that $\frac{∣ a + b ∣ + ∣ a - b ∣}{∣ a + b ∣ - ∣ a - b ∣} = 2 + 1.$ Then $\frac{∣ a + b ∣ ^{2}}{∣ a ∣ ^{2}}$ is :
Mathematics · Vector Algebra · MCQ
Q42.Let p be the number of all triangles that can be formed by joining the vertices of a regular polygon P of n sides and q be the number of all quadrilaterals that can be formed by joining the vertices of P. If p + q = 126, then the…
Mathematics · Ellipse · MCQ
Q43.Let a random variable X take values 0, 1, 2, 3 with P(X=0)=P(X=1)=p, P(X=2)=P(X=3) and E(X2)=2E(X). Then the value of 8p−1 is :
Mathematics · Probability · MCQ
Q44.Let the system of equations x + 5y - z = 1 4x + 3y - 3z = 7 24x + y + λz = μ λ, μ ∈ ℝ, have infinitely many solutions. Then the number of the solutions of this system, if x, y, z are integers and satisfy 7 ≤ x + y + z ≤ 77, is :
Mathematics · Matrices and Determinants · MCQ
Q45.If the orthocenter of the triangle formed by the lines y = x + 1, y = 4x - 8 and y = mx + c is at (3, -1), then m - c is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q46.The sum of the series $2 \times 1 \times^{20} C_{4} - 3 \times 2 \times^{20} C_{5} + 4 \times 3 \times^{20} C_{6} - 5 \times 4 \times^{20} C_{7} + \dots\dots + 18 \times 17 \times^{20} C_{20}$ ,…
Mathematics · Binomial Theorem · Numerical
Q47.If the function $f (x) = \frac{t a n ( t a n x ) - s i n ( s i n x )}{t a n x - s i n x}$ is continuous at $x = 0$ , then $f (0)$ is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical
Q48.If $\int (\frac{1}{x} + \frac{1}{x ^{3}}) (23 3 x^{- 24} + x^{- 26}) d x = - \frac{α}{3 ( α + 1 )} (3 x^{β} + x^{γ})^{\frac{α + 1}{α}} + C, x > 0, (α, β, γ \in Z)$ ,…
Mathematics · Indefinite Integrals · Numerical
Q49.Let the lengths of the transverse and conjugate axes of a hyperbola in standard form be $2 a$ and $2 b$ , respectively, and one focus and the corresponding directrix of this hyperbola be $(- 5, 0)$ and $5 x + 9 = 0$ , respectively. If the product…
Mathematics · Hyperbola · Numerical
Q50.For $t > - 1$ , let $α_{t}$ and $β_{t}$ be the roots of the equation $((t + 2)^{1/7} - 1) x^{2} + ((t + 2)^{1/6} - 1) x + ((t + 2)^{1/21} - 1) = 0 . If t \to - 1^{+} lim α_{t} = a and t \to - 1^{+} lim β_{t} = b,$ …
Mathematics · Limits Continuity and Differentiability · Numerical
Q51.The dimension of $\frac{μ _{0}}{ϵ _{0}}$ is equal to that of: ( $μ_{0}$ = Vacuum permeability and $ϵ_{0}$ = Vacuum permittivity)
Physics · Units and Measurements · MCQ
Q52.A photoemissive substance is illuminated with a radiation of wavelength $λ_{i}$ so that it releases electrons with de-Broglie wavelength $λ_{e}$ . The longest wavelength of radiation that can emit photoelectron is $λ_{o}$ .…
Physics · Dual Nature of Radiation · MCQ
Q53.A helicopter flying horizontally with a speed of 360 km/h at an altitude of 2 km, drops an object at an instant. The object hits the ground at a point O, 20 s after it is dropped. Displacement of 'O' from the position of helicopter where…
Physics · Motion in A Plane · MCQ
Q54.Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Refractive index of glass is higher than that of air. Reason (R): Optical density of a medium is directly…
Physics · Geometrical Optics · MCQ
Q55.Which one of the following forces cannot be expressed in terms of potential energy?
Physics · Work Power and Energy · MCQ
Q56.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Physics · Units and Measurements · MCQ
Q57.The helium and argon are put in the flask at the same room temperature (300 K). The ratio of average kinetic energies (per molecule) of helium and argon is: (Give: Molar mass of helium = 4 g/mol, Molar mass of argon = 40 g/mol)
Physics · Heat and Thermodynamics · MCQ
Q58.Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The radius vector from the Sun to a planet sweeps out equal areas in equal intervals of time and thus areal velocity…
Physics · Gravitation · MCQ
Q59.The unit of $\frac{2 I}{ε _{0} c}$ is : (I = intensity of an electromagnetic wave, c = speed of light)
Physics · Electromagnetic Waves · MCQ
Q60.A dipole with two electric charges of 2 µC magnitude each, with separation distance 0.5 µm, is placed between the plates of a capacitor such that its axis is parallel to an electric field established between the plates when a potential…
Physics · Electrostatics · MCQ
Q61.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The outer body of an aircraft is made of metal which protects persons sitting inside from lightning strikes. Reason…
Physics · Electrostatics · MCQ
Q62.A mirror is used to produce an image with magnification of $\frac{1}{4}$ . If the distance between object and its image is 40 cm, then the focal length of the mirror is .
Physics · Geometrical Optics · MCQ
Q63.Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The density of the copper $(_{29}^{64} Cu)$ nucleus is greater than that of the carbon $(_{6}^{12} C)$ …
Physics · Atoms and Nuclei · MCQ
Q64.A capillary tube of radius 0.1 mm is partly dipped in water (surface tension 70 dyn/cm and glass water contact angle ≈ 0°) with 30° inclined with the vertical. The length of water risen in the capillary is cm.…
Physics · Properties of Matter · MCQ
Q65.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Magnetic monopoles do not exist. Reason (R): Magnetic field lines are continuous and form closed loops. In the light…
Physics · Magnetic Properties of Matter · MCQ
Q66.Consider the following logic circuit. The output is Y = 0 when : Includes diagram
Physics · Electronic Devices · MCQ
Q67.The equation of a wave travelling on a string is y = sin[20πx + 10πt], where x and t are distance and time in SI units. The minimum distance between two points having the same oscillating speed is :
Physics · Waves · MCQ
Q68.A transparent block A having refractive index $μ = 1.25$ is surrounded by another medium of refractive index $μ = 1.0$ as shown in the figure. A light ray is incident on the flat face of the block with incident angle $θ$ as shown… Includes diagram
Physics · Geometrical Optics · MCQ
Q69.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Physics · Heat and Thermodynamics · MCQ
Q70.M and R be the mass and radius of a disc. A small disc of radius $R /3$ is removed from the bigger disc as shown in figure. The moment of inertia of remaining part of bigger disc about an axis $A B$ passing through the centre $O$ … Includes diagram
Physics · Rotational Motion · Numerical
Q71.Two cylindrical rods A and B made of different materials, are joined in a straight line. The ratios of lengths, radii and thermal conductivites of these rods are: $\frac{L _{A}}{L _{B}} = \frac{1}{2}, \frac{r _{A}}{r _{B}} = 2$ …
Physics · Heat and Thermodynamics · Numerical
Q72.The electric field in a region is given by $E = (2 \hat{i} + 4 \hat{j} + 6 \hat{k}) \times 1 0^{3} N / C$ . The flux of the field through a rectangular surface parallel to $x - z$ plane is $6.0 Nm^{2} C^{- 1}$ …
Physics · Electrostatics · Numerical
Q73.An inductor of reactance $100Ω$ , a capacitor of reactance $50Ω$ , and a resistor of resistance $50Ω$ are connected in series with an AC source of $10 V, 50 Hz$ . Average power dissipated by the circuit…
Physics · Alternating Current · Numerical
Q74.A parallel plate capacitor has charge $5 \times 1 0^{- 6} C$ . A dielectric slab is inserted between the plates and almost fills the space between the plates. If the induced charge on one face of the slab is $4 \times 1 0^{- 6} C$ …
Physics · Capacitor · Numerical
Q75.An object with mass 500 g moves along x-axis with speed $v = 4 x$ m/s. The force acting on the object is :
Physics · Laws of Motion · MCQ