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2021 · 27 Aug · Shift 1

65 questions · JEE Main

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2021 · 27 Aug · Shift 1

2021 · 27 Aug · Shift 1

65 questions · JEE Main

Chemistry22 questions Mathematics18 questions Physics25 questions

Alcohols Phenols and EthersChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 2 questions Compounds Containing NitrogenChemistry · 2 questions Practical Organic ChemistryChemistry · 3 questions D and F Block ElementsChemistry · 2 questions BiomoleculesChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions P Block ElementsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions SolutionsChemistry · 1 questions Coordination CompoundsChemistry · 1 questions ThermodynamicsChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Complex NumbersMathematics · 1 questions Differential EquationsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions ProbabilityMathematics · 1 questions EllipseMathematics · 1 questions Definite IntegrationMathematics · 1 questions Application of DerivativesMathematics · 2 questions Vector AlgebraMathematics · 1 questions Sets and RelationsMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions StatisticsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions ElectrostaticsPhysics · 1 questions Units and MeasurementsPhysics · 2 questions Vector AlgebraPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Geometrical OpticsPhysics · 2 questions Circular MotionPhysics · 1 questions CapacitorPhysics · 1 questions Rotational MotionPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions MagneticsPhysics · 2 questions Properties of MatterPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Current ElectricityPhysics · 2 questions Simple Harmonic MotionPhysics · 1 questions GravitationPhysics · 1 questions Alternating CurrentPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Work Power and EnergyPhysics · 1 questions

Q1.In the following sequence of reactions, the final product D is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q2.The structure of the starting compound P used in the reaction given below is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q3.Match List - I with List - II : Choose the most appropriate answer from the options given below : Includes diagram
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q4.Match items of List-I with those of List-II : Choose the most appropriate answer from the options given below : Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q5.The major product of the following reaction is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q6.Which of the following is not a correct statement for primary aliphatic amines?
Chemistry · Compounds Containing Nitrogen · MCQ
Q7.Acidic ferric chloride solution on treatment with excess of potassium ferrocyanide gives a Prussian blue coloured colloidal species. It is :
Chemistry · Practical Organic Chemistry · MCQ
Q8.The nature of oxides $V_{2} O_{3}$ and $C r O$ is indexed as 'X' and 'Y' type respectively. The correct set of X and Y is :
Chemistry · D and F Block Elements · MCQ
Q9.Out of following isomeric forms of uracil, which one is present in RNA?
Chemistry · Biomolecules · MCQ
Q10.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Synthesis of ethyl phenyl ether may be achieved by Williamson synthesis. Reason (R) : Reaction of bromobenzene with…
Chemistry · Alcohols Phenols and Ethers · MCQ
Q11.In the following sequence of reactions the P is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q12.In polythionic acid, $H_{2} S_{x} O_{6}$ (x = 3 to 5) the oxidation state(s) of sulphur is/are :
Chemistry · P Block Elements · MCQ
Q13.In Carius method for estimation of halogens, 0.2 g of an organic compound gave 0.188 g of AgBr. The percentage of bromine in the compound is . (Nearest integer) [Atomic mass : Ag = 108, Br = 80]
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q14.The reaction that occurs in a breath analyser, a device used to determine the alcohol level in a person's blood stream is $2 K_{2} C r_{2} O_{7} + 8 H_{2} S O_{4} + 3 C_{2} H_{6} O \to 2 C r_{2} (S O_{4})_{3} + 3 C_{2} H_{4} O_{2} + 2 K_{2} S O_{4} + 11 H_{2} O$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q15.The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is equal to $\frac{h ^{2}}{x m a _{0}^{2}}$ . The value of 10x is . (a0 is radius of Bohr's orbit) (Nearest integer) [Given : $π$ = 3.14]
Chemistry · Structure of Atom · Numerical
Q16.1 kg of 0.75 molal aqueous solution of sucrose can be cooled up to $-$ 4 $^{\circ}$ C before freezing. The amount of ice (in g) that will be separated out is . (Nearest integer) [Given : Kf( $H_{2} O$ ) = 1.86 K kg mol $-$ …
Chemistry · Solutions · Numerical
Q17.1 mol of an octahedral metal complex with formula $M C l_{3}$ . 2 $L$ on reaction with excess of $A g N O_{3}$ gives 1 mol of $A g C l$ . The denticity of Ligand $L$ is . (Integer answer)
Chemistry · Coordination Compounds · Numerical
Q18.The number of moles of $C u O$ , that will be utilized in Dumas method for estimation nitrogen in a sample of 57.5 g of N, N-dimethylaminopentane is $\times$ 10 $-$ 2. (Nearest integer)
Chemistry · Practical Organic Chemistry · Numerical
Q19.The number of f electrons in the ground state electronic configuration of Np (Z = 93) is . (Nearest integer)
Chemistry · D and F Block Elements · Numerical
Q20.200 mL of 0.2 M HCl is mixed with 300 mL of 0.1 M NaOH. The molar heat of neutralization of this reaction is $-$ 57.1 kJ. The increase in temperature in $^{\circ}$ C of the system on mixing is x $\times$ 10 $-$ 2. The value of x is …
Chemistry · Thermodynamics · Numerical
Q21.The number of moles of $N H_{3}$ , that must be added to 2 $L$ of 0.80 M $A g N O_{3}$ in order to reduce the concentration of $A g^{+}$ ions to 5.0 $\times$ 10 $-$ 8 M (Kformation for $[A g (N H_{3})_{2}]^{+}$ = 1.0 $\times$ 108) is .…
Chemistry · Chemical Equilibrium · Numerical
Q22.When 10 mL of an aqueous solution of $K M n O_{4}$ was titrated in acidic medium, equal volume of 0.1 M of an aqueous solution of ferrous sulphate was required for complete discharge of colour. The strength of $K M n O_{4}$ in grams per litre is $\times$ …
Chemistry · Practical Organic Chemistry · Numerical
Q23.Let A be a fixed point (0, 6) and B be a moving point (2t, 0). Let M be the mid-point of AB and the perpendicular bisector of AB meets the y-axis at C. The locus of the mid-point P of MC is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q24.If $(sin^{- 1} x)^{2} - (cos^{- 1} x)^{2} = a$ ; 0 < x < 1, a $e$ 0, then the value of 2x2 $-$ 1 is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q25.If the matrix $A = (0 K 2 - 1)$ satisfies $A (A^{3} + 3 I) = 2 I$ , then the value of K is :
Mathematics · Matrices and Determinants · MCQ
Q26.If $S = {z \in C : \frac{z - i}{z + 2 i} \in R}$ , then :
Mathematics · Complex Numbers · MCQ
Q27.Let y = y(x) be the solution of the differential equation $\frac{d y}{d x} = 2 (y + 2 sin x - 5) x - 2 cos x$ such that y(0) = 7. Then y( $π$ ) is equal to :
Mathematics · Differential Equations · MCQ
Q28.Let us consider a curve, y = f(x) passing through the point ( $-$ 2, 2) and the slope of the tangent to the curve at any point (x, f(x)) is given by f(x) + xf'(x) = x2. Then :
Mathematics · Differential Equations · MCQ
Q29.If $α$ , $β$ are the distinct roots of x2 + bx + c = 0, then $x \to β lim \frac{e ^{2 (x^{2} + b x + c)} - 1 - 2 ( x ^{2} + b x + c )}{( x - β ) ^{2}}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q30.When a certain biased die is rolled, a particular face occurs with probability $\frac{1}{6} - x$ and its opposite face occurs with probability $\frac{1}{6} + x$ . All other faces occur with probability $\frac{1}{6}$ . Note that opposite…
Mathematics · Probability · MCQ
Q31.If x2 + 9y2 $-$ 4x + 3 = 0, x, y $\in$ R, then x and y respectively lie in the intervals :
Mathematics · Ellipse · MCQ
Q32. $6 \int 16 \frac{l o g _{e} x ^{2}}{l o g _{e} x ^{2} + l o g _{e} ( x ^{2} - 44 x + 484 )} d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q33.A wire of length 20 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a regular hexagon. Then the length of the side (in meters) of the hexagon, so that the combined area of the square and the…
Mathematics · Application of Derivatives · MCQ
Q34.Let $a = i + 5 j + α k$ , $b = i + 3 j + β k$ and $c = - i + 2 j - 3 k$ be three vectors such that, $b \times c = 53$ …
Mathematics · Vector Algebra · Numerical
Q35.The number of distinct real roots of the equation 3x4 + 4x3 $-$ 12x2 + 4 = 0 is .
Mathematics · Application of Derivatives · Numerical
Q36.If A = {x $\in$ R : |x $-$ 2| > 1}, B = {x $\in$ R : $x^{2} - 3$ > 1}, C = {x $\in$ R : |x $-$ 4| $\geq$ 2} and Z is the set of all integers, then the number of subsets of the set (A $\cap$ B $\cap$ C)c $\cap$ Z is …
Mathematics · Sets and Relations · Numerical
Q37.If $\int \frac{d x}{( x ^{2} + x + 1 ) ^{2}} = a tan^{- 1} (\frac{2 x + 1}{3}) + b (\frac{2 x + 1}{x ^{2} + x + 1}) + C$ , x > 0 where C is the constant of integration, then the value of…
Mathematics · Indefinite Integrals · Numerical
Q38.If the system of linear equations 2x + y $-$ z = 3 x $-$ y $-$ z = $α$ 3x + 3y + $β$ z = 3 has infinitely many solution, then $α$ + $β - α β$ is equal to .
Mathematics · Matrices and Determinants · Numerical
Q39.Let n be an odd natural number such that the variance of 1, 2, 3, 4, ......, n is 14. Then n is equal to .
Mathematics · Statistics · Numerical
Q40.A number is called a palindrome if it reads the same backward as well as forward. For example 285582 is a six digit palindrome. The number of six digit palindromes, which are divisible by 55, is .
Mathematics · Permutations and Combinations · Numerical
Q41.A uniformly charged disc of radius R having surface charge density $σ$ is placed in the xy plane with its center at the origin. Find the electric field intensity along the z-axis at a distance Z from origin :-
Physics · Electrostatics · MCQ
Q42.Which of the following is not a dimensionless quantity?
Physics · Units and Measurements · MCQ
Q43.If E and H represents the intensity of electric field and magnetising field respectively, then the unit of E/H will be :
Physics · Units and Measurements · MCQ
Q44.The resultant of these forces $O P, O Q, O R, O S$ and $O T$ is approximately .......... N. [Take $3 = 1.7$ , $2 = 1.4$ Given $i$ … Includes diagram
Physics · Vector Algebra · MCQ
Q45.A balloon carries a total load of 185 kg at normal pressure and temperature of 27 $^{\circ}$ C. What load will the balloon carry on rising to a height at which the barometric pressure is 45 cm of Hg and the temperature is $-$ 7 $^{\circ}$ C.…
Physics · Heat and Thermodynamics · MCQ
Q46.An object is placed beyond the centre of curvature C of the given concave mirror. If the distance of the object is d1 from C and the distance of the image formed is d2 from C, the radius of curvature of this mirror is :
Physics · Geometrical Optics · MCQ
Q47.A huge circular arc of length 4.4 ly subtends an angle '4s' at the centre of the circle. How long it would take for a body to complete 4 revolution if its speed is 8 AU per second? Given : 1 ly = 9.46 $\times$ 1015 m 1 AU = 1.5 $\times$ …
Physics · Circular Motion · MCQ
Q48.Calculate the amount of charge on capacitor of 4 $μ$ F. The internal resistance of battery is 1 $Ω$ : Includes diagram
Physics · Capacitor · MCQ
Q49.Moment of inertia of a square plate of side l about the axis passing through one of the corner and perpendicular to the plane of square plate is given by :
Physics · Rotational Motion · MCQ
Q50.An ideal gas is expanding such that PT3 = constant. The coefficient of volume expansion of the gas is :
Physics · Heat and Thermodynamics · MCQ
Q51.In a photoelectric experiment, increasing the intensity of incident light :
Physics · Dual Nature of Radiation · MCQ
Q52.A bar magnet is passing through a conducting loop of radius R with velocity $υ$ . The radius of the bar magnet is such that it just passes through the loop. The induced e.m.f. in the loop can be represented by the approximate curve : Includes diagram
Physics · Electromagnetic Induction · MCQ
Q53.Two ions of masses 4 amu and 16 amu have charges +2e and +3e respectively. These ions pass through the region of constant perpendicular magnetic field. The kinetic energy of both ions is same. Then :
Physics · Magnetics · MCQ
Q54.Find the distance of the image from object O, formed by the combination of lenses in the figure : Includes diagram
Physics · Geometrical Optics · MCQ
Q55.In Millikan's oil drop experiment, what is viscous force acting on an uncharged drop of radius 2.0 $\times$ 10 $-$ 5 m and density 1.2 $\times$ 103 kgm $-$ 3 ? Take viscosity of liquid = 1.8 $\times$ 10 $-$ 5 Nsm $-$ 2. (Neglect buoyancy…
Physics · Properties of Matter · MCQ
Q56.Electric field in a plane electromagnetic wave is given by E = 50 sin(500x $-$ 10 $\times$ 1010 t) V/m The velocity of electromagnetic wave in this medium is : (Given C = speed of light in vacuum)
Physics · Electromagnetic Waves · MCQ
Q57.Five identical cells each of internal resistance 1 $Ω$ and emf 5V are connected in series and in parallel with an external resistance 'R'. For what value of 'R', current in series and parallel combination will remain the same?
Physics · Current Electricity · MCQ
Q58.The variation of displacement with time of a particle executing free simple harmonic motion is shown in the figure. The potential energy U(x) versus time (t) plot of the particle is correctly shown in figure : Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q59.A body of mass (2M) splits into four masses (m, M $-$ m, m, M $-$ m}, which are rearranged to form a square as shown in the figure. The ratio of $\frac{M}{m}$ for which, the gravitational potential energy of the system becomes maximum is x… Includes diagram
Physics · Gravitation · Numerical
Q60.The alternating current is given by $i = {42 sin (\frac{2 π}{T} t) + 10} A$ The r.m.s. value of of this current is ................. A.
Physics · Alternating Current · Numerical
Q61.A uniform conducting wire of length is 24a, and resistance R is wound up as a current carrying coil in the shape of an equilateral triangle of side 'a' and then in the form of a square of side 'a'. The coil is connected to a voltage source…
Physics · Magnetics · Numerical
Q62.First, a set of n equal resistors of 10 $Ω$ each are connected in series to a battery of emf 20V and internal resistance 10 $Ω$ . A current I is observed to flow. Then, the n resistors are connected in parallel to the same…
Physics · Current Electricity · Numerical
Q63.If the velocity of a body related to displacement x is given by $υ = 5000 + 24 x$ m/s, then the acceleration of the body is .................... m/s2.
Physics · Motion in A Straight Line · Numerical
Q64.A rod CD of thermal resistance 10.0 KW $-$ 1 is joined at the middle of an identical rod AB as shown in figure. The end A, B and D are maintained at 200 $^{\circ}$ C, 100 $^{\circ}$ C and 125 $^{\circ}$ C respectively. The heat current in CD is… Includes diagram
Physics · Heat and Thermodynamics · Numerical
Q65.Two persons A and B perform same amount of work in moving a body through a certain distance d with application of forces acting at angle 45 $^{\circ}$ and 60 $^{\circ}$ with the direction of displacement respectively. The ratio of force…
Physics · Work Power and Energy · Numerical