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2025 · Shift 1

48 questions · JEE Advanced

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2025 · Shift 1

2025 · Shift 1

48 questions · JEE Advanced

Chemistry16 questions Mathematics16 questions Physics16 questions

P Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Redox ReactionsChemistry · 1 questions HydrocarbonsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions ElectrochemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Gaseous StateChemistry · 1 questions ThermodynamicsChemistry · 1 questions PolymersChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Salt AnalysisChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions ProbabilityMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 3 questions Matrices and DeterminantsMathematics · 1 questions 3D GeometryMathematics · 1 questions FunctionsMathematics · 2 questions Complex NumbersMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions Vector AlgebraMathematics · 2 questions Differential EquationsMathematics · 1 questions StatisticsMathematics · 1 questions Rotational MotionPhysics · 1 questions Impulse and MomentumPhysics · 1 questions Electromagnetic InductionPhysics · 2 questions Units and MeasurementsPhysics · 2 questions Wave OpticsPhysics · 2 questions Simple Harmonic MotionPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions ElectrostaticsPhysics · 1 questions Alternating CurrentPhysics · 1 questions Atoms and NucleiPhysics · 1 questions

Q1.The heating of $N H_{4} N O_{2}$ at 60–70 °C and $N H_{4} N O_{3}$ at 200–250 °C is associated with the formation of nitrogen containing compounds X and Y, respectively. X and Y, respectively, are
Chemistry · P Block Elements · MCQ
Q2.The correct order of the wavelength maxima of the absorption band in the ultraviolet-visible region for the given complexes is
Chemistry · Coordination Compounds · MCQ
Q3.One of the products formed from the reaction of permanganate ion with iodide ion in neutral aqueous medium is
Chemistry · Redox Reactions · MCQ
Q4.Consider the depicted hydrogen (H) in the hydrocarbons given below. The most acidic hydrogen (H) is
Chemistry · Hydrocarbons · MCQ
Q5.Regarding the molecular orbital (MO) energy levels for homonuclear diatomic molecules, the INCORRECT statement(s) is(are)
Chemistry · Chemical Bonding and Molecular Structure · Multiple correct
Q6.The pair(s) of diamagnetic ions is(are)
Chemistry · D and F Block Elements · Multiple correct
Q7.For the reaction sequence given below, the correct statement(s) is(are) (In the options, X is any atom other than carbon and hydrogen, and it is different in P, Q and R) Includes diagram
Chemistry · Haloalkanes and Haloarenes · Multiple correct
Q8.In an electrochemical cell, dichromate ions in aqueous acidic medium are reduced to $C r^{3 +}$ . The current (in amperes) that flows through the cell for 48.25 minutes to produce 1 mole of $C r^{3 +}$ is . Use: 1…
Chemistry · Electrochemistry · Numerical
Q9.At 25 °C, the concentration of $H^{+}$ ions in 1.00 × 10−3 M aqueous solution of a weak monobasic acid having acid dissociation constant (Ka) of 4.00 × 10−11 is X × 10−7 M. The value of X is . Use: Ionic product of…
Chemistry · Ionic Equilibrium · Numerical
Q10.Molar volume (Vm) of a van der Waals gas can be calculated by expressing the van der Waals equation as a cubic equation with Vm as the variable. The ratio (in mol dm−3) of the coefficient of Vm2 to the coefficient of Vm for a gas having…
Chemistry · Gaseous State · Numerical
Q11.Considering ideal gas behavior, the expansion work done (in kJ) when 144 g of water is electrolyzed completely under constant pressure at 300 K is . Use: Universal gas constant (R) = 8.3 J K−1 mol−1; Atomic mass…
Chemistry · Thermodynamics · Numerical
Q12.The monomer (X) involved in the synthesis of Nylon 6,6 gives positive carbylamine test. If 10 moles of X are analyzed using Dumas method, the amount (in grams) of nitrogen gas evolved is . Use: Atomic mass of N…
Chemistry · Polymers · Numerical
Q13.The reaction sequence given below is carried out with 16 moles of X. The yield of the major product in each step is given below the product in parentheses. The amount (in grams) of S produced is . Use: Atomic mass… Includes diagram
Chemistry · Alcohols Phenols and Ethers · Numerical
Q14.The correct match of the group reagents in List-I for precipitating the metal ion given in List-II from solutions, is Includes table
Chemistry · Salt Analysis · MCQ
Q15.The major products obtained from the reactions in List-II are the reactants for the named reactions mentioned in List-I. Match each entry in List-I with the appropriate entry in List-II and choose the correct option. Includes table
Chemistry · Compounds Containing Nitrogen · MCQ
Q16.Match the compounds in List-I with the appropriate observations in List-II and choose the correct option. Includes table Includes diagram
Chemistry · Practical Organic Chemistry · MCQ
Q17.Let $R$ denote the set of all real numbers. Let $a_{i}, b_{i} \in R$ for $i \in {1, 2, 3}$ . Define the functions $f : R \to R$ , $g : R \to R$ , and $h : R \to R$ by $f (x) = a_{1} + 10 x + a_{2} x^{2} + a_{3} x^{3} + x^{4} g (x) = b_{1} + 3 x + b_{2} x^{2} + b_{3} x^{3} + x^{4} h (x) = f (x + 1) - g (x + 2)$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q18.Three students $S_{1}, S_{2},$ and $S_{3}$ are given a problem to solve. Consider the following events: U: At least one of $S_{1}, S_{2},$ and $S_{3}$ can solve the problem, V: $S_{1}$ can solve the problem, given that neither $S_{2}$ nor $S_{3}$ can solve…
Mathematics · Probability · MCQ
Q19.Let $R$ denote the set of all real numbers. Define the function $f : R \to R$ by $f (x) = {2 - 2 x^{2} - x^{2} sin \frac{1}{x} 2 if x e q 0, if x = 0.$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q20.Consider the matrix $P = 200020003 .$ Let the transpose of a matrix $X$ be denoted by $X^{T}$ . Then the number of $3 \times 3$ invertible matrices $Q$ with…
Mathematics · Matrices and Determinants · MCQ
Q21.Let $L_{1}$ be the line of intersection of the planes given by the equations $2 x + 3 y + z = 4$ and $x + 2 y + z = 5$ . Let $L_{2}$ be the line passing through the point $P (2, - 1, 3)$ and parallel to $L_{1}$ . Let $M$ denote the plane given by the…
Mathematics · 3D Geometry · Multiple correct
Q22.Let ℕ denote the set of all natural numbers, and ℤ denote the set of all integers. Consider the functions f: ℕ → ℤ and g: ℤ → ℕ defined by $f (n) = {\frac{( n + 1 )}{2} \frac{( 4 - n )}{2} if n is odd, if n is even,$ …
Mathematics · Functions · Multiple correct
Q23.Let ℝ denote the set of all real numbers. Let $z_{1} = 1 + 2 i$ and $z_{2} = 3 i$ be two complex numbers, where $i = - 1$ . Let $S = {(x, y) \in R \times R : ∣ x + i y - z_{1} ∣ = 2∣ x + i y - z_{2} ∣} .$ Then which of the…
Mathematics · Complex Numbers · Multiple correct
Q24.Let the set of all relations $R$ on the set ${a, b, c, d, e, f}$ , such that $R$ is reflexive and symmetric, and $R$ contains exactly $10$ elements, be denoted by $S$ . Then the number of elements in $S$ is …
Mathematics · Permutations and Combinations · Numerical
Q25.For any two points $M$ and $N$ in the $X Y$ -plane, let $M N$ denote the vector from $M$ to $N$ , and $0$ denote the zero vector. Let $R$ and $R$ be three distinct points in the $X Y$ -plane. Let $S$ be a point inside…
Mathematics · Vector Algebra · Numerical
Q26.Let $S$ be the set of all seven-digit numbers that can be formed using the digits $2$ and $2$ . For example, $2210222$ is in $S$ , but $0210222$ is NOT in $S$ . Then the number of elements $x$ in $S$ such that at least one of the digits…
Mathematics · Permutations and Combinations · Numerical
Q27.Let α and β be the real numbers such that $x \to 0 lim \frac{1}{x ^{3}} (\frac{α}{2} 0 \int x \frac{1}{1 - t ^{2}} d t + β x cos x) = 2.$ Then the value of α + β is .
Mathematics · Limits Continuity and Differentiability · Numerical
Q28.Let ℝ denote the set of all real numbers. Let f: ℝ → ℝ be a function such that f(x) > 0 for all x ∈ ℝ, and f(x+y) = f(x)f(y) for all x, y ∈ ℝ. Let the real numbers a₁, a₂, ..., a₅₀ be in an arithmetic progression. If f(a₃₁) = 64f(a₂₅),…
Mathematics · Functions · Numerical
Q29.For all x > 0, let y₁(x), y₂(x), and y₃(x) be the functions satisfying $\frac{d y _{1}}{d x} - (sin x)^{2} y_{1} = 0, y_{1} (1) = 5, \frac{d y _{2}}{d x} - (cos x)^{2} y_{2} = 0, y_{2} (1) = \frac{1}{3}, \frac{d y _{3}}{d x} - \frac{( 2 - x ^{3} )}{x ^{3}} y_{3} = 0, y_{3} (1) = \frac{3}{5 e},$ …
Mathematics · Differential Equations · Numerical
Q30.Consider the following frequency distribution: Suppose that the sum of the frequencies is 19 and the median of this frequency distribution is 6. For the given frequency distribution, let $α$ denote the mean deviation about the mean, $β$ … Includes table
Mathematics · Statistics · MCQ
Q31.Let $R$ denote the set of all real numbers. For a real number $x$ , let [ x ] denote the greatest integer less than or equal to $x$ . Let $n$ denote a natural number. Match each entry in List-I to the correct entry in List-II and… Includes table
Mathematics · Limits Continuity and Differentiability · MCQ
Q32.Let $w = \hat{i} + \hat{j} - 2 \hat{k}$ , and $u$ and $v$ be two vectors, such that $u \times v = w$ and $v \times w = u$ . Let $α, β, γ$ , and $t$ be real numbers such that $u = α \hat{i} + β \hat{j} + γ \hat{k}, - t α + β + γ = 0, α - tβ + γ = 0, α + β - t γ = 0.$ … Includes table
Mathematics · Vector Algebra · MCQ
Q33.The center of a disk of radius $r$ and mass $m$ is attached to a spring of spring constant $k$ , inside a ring of radius $R > r$ as shown in the figure. The other end of the spring is attached on the periphery of the ring. Both the ring… Includes diagram
Physics · Rotational Motion · MCQ
Q34.In a scattering experiment, a particle of mass 2m collides with another particle of mass m, which is initially at rest. Assuming the collision to be perfectly elastic, the maximum angular deviation θ of the heavier particle, as shown in… Includes diagram
Physics · Impulse and Momentum · MCQ
Q35.A conducting square loop initially lies in the $X Z$ plane with its lower edge hinged along the $X$ -axis. Only in the region $y \geq 0$ , there is a time dependent magnetic field pointing along the $Z$ -direction, $B (t) = B_{0} (cos ω t) \hat{k}$ … Includes diagram
Physics · Electromagnetic Induction · MCQ
Q36.Figure 1 shows the configuration of main scale and Vernier scale before measurement. Fig. 2 shows the configuration corresponding to the measurement of diameter D of a tube. The measured value of D is: Includes diagram
Physics · Units and Measurements · MCQ
Q37.A conducting square loop of side $L$ , mass $M$ and resistance $R$ is moving in the $X Y$ plane with its edges parallel to the $X$ and $Y$ axes. The region $y \geq 0$ has a uniform magnetic field, $B = B_{0} k$ . The magnetic… Includes diagram
Physics · Electromagnetic Induction · Multiple correct
Q38.Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm, 0.05 mm, and 6.0 μm, respectively. Which of the following option(s) give(s) the volume of the strip in cm3 with correct significant figures:
Physics · Units and Measurements · Multiple correct
Q39.Consider a system of three connected strings, $S_{1}, S_{2}$ and $S_{3}$ with uniform linear mass densities $μ kg / m, 4 μ kg / m$ and $16 μ kg / m$ , respectively, as shown in the… Includes diagram
Physics · Wave Optics · Multiple correct
Q40.A person sitting inside an elevator performs a weighing experiment with an object of mass 50 kg . Suppose that the variation of the height $y$ (in m ) of the elevator, from the ground, with time $t$ (in s) is given by $y = 8 [1 + sin (\frac{2 π t}{T})]$ …
Physics · Simple Harmonic Motion · Numerical
Q41.A cube of unit volume contains $35 \times 1 0^{7}$ photons of frequency $1 0^{15} Hz$ . If the energy of all the photons is viewed as the average energy being contained in the electromagnetic waves within the same volume, then the…
Physics · Electromagnetic Waves · Numerical
Q42.Two identical plates P and Q , radiating as perfect black bodies, are kept in vacuum at constant absolute temperatures $T_{P}$ and $T_{Q}$ , respectively, with $T_{Q} < T_{P}$ … Includes diagram
Physics · Heat and Thermodynamics · Numerical
Q43.A solid glass sphere of refractive index $n = 3$ and radius $R$ contains a spherical air cavity of radius $\frac{R}{2}$ , as shown in the figure. A very thin glass layer is present at the point 0 so that the air cavity (refractive… Includes diagram
Physics · Geometrical Optics · Numerical
Q44.A single slit diffraction experiment is performed to determine the slit width using the equation, $\frac{b d}{D} = mλ$ , where $b$ is the slit width, $D$ the shortest distance between the slit and the screen, $d$ the distance between…
Physics · Wave Optics · Numerical
Q45.Consider an electron in the $n = 3$ orbit of a hydrogen-like atom with atomic number $Z$ . At absolute temperature $T$ , a neutron having thermal energy $k_{B} T$ has the same de Broglie wavelength as that of this electron. If this…
Physics · Dual Nature of Radiation · Numerical
Q46.List-I shows four configurations, each consisting of a pair of ideal electric dipoles. Each dipole has a dipole moment of magnitude $p$ , oriented as marked by arrows in the figures. In all the configurations the dipoles are fixed such that… Includes table Includes diagram
Physics · Electrostatics · MCQ
Q47.A circuit with an electrical load having impedance $Z$ is connected with an AC source as shown in the diagram. The source voltage varies in time as $V (t) = 300 sin (400 t) V$ , where $t$ is time in s . List-I shows various options… Includes table Includes diagram
Physics · Alternating Current · MCQ
Q48.List-I shows various functional dependencies of energy $(E)$ on the atomic number $(Z)$ . Energies associated with certain phenomena are given in List-II. Choose the option that describes the correct match between the entries in List-I to… Includes table
Physics · Atoms and Nuclei · MCQ