2021 · 31 Aug · Shift 1
72 questions · JEE MainGuest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
2021 · 31 Aug · Shift 1
72 questions · JEE Main
Haloalkanes and HaloarenesChemistry · 1 questionsD and F Block ElementsChemistry · 2 questionsBiomoleculesChemistry · 1 questionsCompounds Containing NitrogenChemistry · 2 questionsAlcohols Phenols and EthersChemistry · 2 questionsCoordination CompoundsChemistry · 1 questionsPeriodic Table and PeriodicityChemistry · 1 questionsBasics of Organic ChemistryChemistry · 2 questionsSolutionsChemistry · 1 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 1 questionsElectrochemistryChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 2 questionsChemical Bonding and Molecular StructureChemistry · 1 questionsStructure of AtomChemistry · 1 questionsIonic EquilibriumChemistry · 1 questionsApplication of DerivativesMathematics · 2 questionsDefinite IntegrationMathematics · 3 questionsVector AlgebraMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 3 questionsSequences and SeriesMathematics · 1 questionsSets and RelationsMathematics · 1 questionsIndefinite IntegralsMathematics · 1 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsMatrices and DeterminantsMathematics · 2 questionsParabolaMathematics · 1 questionsDifferential EquationsMathematics · 1 questionsComplex NumbersMathematics · 1 questionsStatisticsMathematics · 1 questionsCircleMathematics · 1 questionsPermutations and CombinationsMathematics · 1 questionsBinomial TheoremMathematics · 1 questionsProbabilityMathematics · 1 questionsMotion in A PlanePhysics · 1 questionsElectronic DevicesPhysics · 2 questionsElectrostaticsPhysics · 1 questionsGeometrical OpticsPhysics · 2 questionsMagneticsPhysics · 1 questionsCenter of MassPhysics · 1 questionsGravitationPhysics · 1 questionsElectromagnetic InductionPhysics · 1 questionsProperties of MatterPhysics · 2 questionsUnits and MeasurementsPhysics · 2 questionsHeat and ThermodynamicsPhysics · 1 questionsRotational MotionPhysics · 1 questionsAlternating CurrentPhysics · 1 questionsDual Nature of RadiationPhysics · 1 questionsCurrent ElectricityPhysics · 3 questionsSimple Harmonic MotionPhysics · 1 questionsWavesPhysics · 1 questionsWork Power and EnergyPhysics · 1 questionsElectromagnetic WavesPhysics · 1 questionsCapacitorPhysics · 1 questionsLaws of MotionPhysics · 1 questions
- Q1.The correct order of reactivity of the given chlorides with acetate in acetic acid is :Chemistry · Haloalkanes and Haloarenes · MCQ
- Q2.In the structure of the dichromate ion, there is a :Chemistry · D and F Block Elements · MCQ
- Q3.Which one of the following compounds contains - glycosidic linkage?Chemistry · Biomolecules · MCQ
- Q4.The major products A and B in the following set of reactions are : Includes diagramChemistry · Compounds Containing Nitrogen · MCQ
- Q5.Which one of the following lanthanides exhibits +2 oxidation state with diamagnetic nature? (Given Z for Nd = 60, Yb = 70, La = 57, Ce = 58)Chemistry · D and F Block Elements · MCQ
- Q6.The major product formed in the following reaction is : Includes diagramChemistry · Alcohols Phenols and Ethers · MCQ
- Q7.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Treatment of bromine water with propene yields 1-bromopropan-2-ol. Reason (R) : Attack of water on bromonium ion…Chemistry · Alcohols Phenols and Ethers · MCQ
- Q8.The denticity of an organic ligand, biuret is :Chemistry · Coordination Compounds · MCQ
- Q9.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Metallic character decreases and non-metallic character increases on moving from left to right in a period. Reason…Chemistry · Periodic Table and Periodicity · MCQ
- Q10.Choose the correct name for compound given below : Includes diagramChemistry · Basics of Organic Chemistry · MCQ
- Q11.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) : Assertion (A) : A simple distillation can be used to separate a mixture of propanol and propanone. Reason (R) : Two liquids with a…Chemistry · Basics of Organic Chemistry · MCQ
- Q12.Which one of the following 0.10 M aqueous solutions will exhibit the largest freezing point depression?Chemistry · Solutions · MCQ
- Q13.The structure of product C, formed by the following sequence of reactions is : Includes diagramChemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
- Q14.Consider the following cell reaction : The value of is 4.315 V at 25 C. If H…Chemistry · Electrochemistry · Numerical
- Q15.The molarity of the solution prepared by dissolving 6.3 g of oxalic acid () in 250 mL of water in mol L 1 is x 10 2. The value of x is . (Nearest integer) [Atomic mass : H : 1.0,…Chemistry · Some Basic Concepts of Chemistry · Numerical
- Q16.The total number of reagents from those given blow, that can convert nitrobenzene into aniline is . (Integer answer) I. II. III. IV. V. …Chemistry · Compounds Containing Nitrogen · Numerical
- Q17.For a first order reaction, the ratio of the time for 75% completion of a reaction to the time for 50% completion is . (Integer answer)Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
- Q18.The number of hydrogen bonded water molecule(s) associated with stoichiometry is .Chemistry · Chemical Bonding and Molecular Structure · Numerical
- Q19.According to the following figure, the magnitude of the enthalpy change of the reaction A + B M + N in kJ mol is equal to . (Integer answer) Includes diagramChemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
- Q20.Ge(Z = 32) in its ground state electronic configuration has x completely filled orbitals with ml = 0. The value of x is .Chemistry · Structure of Atom · Numerical
- Q21. is a sparingly soluble salt of molar mass M (g mol 1) and solubility x g L 1. The solubility product satisfies . The value of a is . (Integer answer)Chemistry · Ionic Equilibrium · Numerical
- Q22.The number of real roots of the equation is :Mathematics · Application of Derivatives · MCQ
- Q23.Let f be a non-negative function in [0, 1] and twice differentiable in (0, 1). If , and f(0) = 0, then …Mathematics · Definite Integration · MCQ
- Q24.Let and be two vectors such that and the angle between and…Mathematics · Vector Algebra · MCQ
- Q25.The function is not differentiable at exactly :Mathematics · Limits Continuity and Differentiability · MCQ
- Q26.Three numbers are in an increasing geometric progression with common ratio r. If the middle number is doubled, then the new numbers are in an arithmetic progression with common difference d. If the fourth term of GP is 3 r2, then r2 d…Mathematics · Sequences and Series · MCQ
- Q27.Which of the following is not correct for relation R on the set of real numbers ?Mathematics · Sets and Relations · MCQ
- Q28.The integral is equal to : (where C is a constant of integration)Mathematics · Indefinite Integrals · MCQ
- Q29.If p and q are the lengths of the perpendiculars from the origin on the lines, x cosec y sec = k cot 2 and x sin + y cos = k sin2 respectively, then k2 is equal to :Mathematics · Straight Lines and Pair of Straight Lines · MCQ
- Q30.cosec18 is a root of the equation :Mathematics · Quadratic Equation and Inequalities · MCQ
- Q31.If the following system of linear equations 2x + y + z = 5 x y + z = 3 x + y + az = b has no solution, then :Mathematics · Matrices and Determinants · MCQ
- Q32.The length of the latus rectum of a parabola, whose vertex and focus are on the positive x-axis at a distance R and S (> R) respectively from the origin, is :Mathematics · Parabola · MCQ
- Q33.If the function …Mathematics · Limits Continuity and Differentiability · MCQ
- Q34.If , y(0) = 1, then y(1) is equal to :Mathematics · Differential Equations · MCQ
- Q35. is equal to :Mathematics · Limits Continuity and Differentiability · MCQ
- Q36.If , r = 1, 2, 3, ....., i = , then the determinant …Mathematics · Matrices and Determinants · MCQ
- Q37.Let [t] denote the greatest integer t. Then the value of is .Mathematics · Definite Integration · Numerical
- Q38.A point z moves in the complex plane such that , then the minimum value of is equal to .Mathematics · Complex Numbers · Numerical
- Q39.If 'R' is the least value of 'a' such that the function f(x) = x2 + ax + 1 is increasing on [1, 2] and 'S' is the greatest value of 'a' such that the function f(x) = x2 + ax + 1 is decreasing on [1, 2], then the value of |R S| is …Mathematics · Application of Derivatives · Numerical
- Q40.The mean of 10 numbers 7 8, 10 10, 13 12, 16 14, ....... is .Mathematics · Statistics · Numerical
- Q41.If the variable line 3x + 4y = lies between the two circles (x 1)2 + (y 1)2 = 1 and (x 9)2 + (y 1)2 = 4, without intercepting a chord on either circle, then the sum of all the integral values of is …Mathematics · Circle · Numerical
- Q42.The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all the consonants never come together, is .Mathematics · Permutations and Combinations · Numerical
- Q43.If , x > 2, and (0) = 4, then (2) is .Mathematics · Definite Integration · Numerical
- Q44.If is the term, independent of x, in the binomial expansion of , then k is equal to .Mathematics · Binomial Theorem · Numerical
- Q45.An electric instrument consists of two units. Each unit must function independently for the instrument to operate. The probability that the first unit functions is 0.9 and that of the second unit is 0.8. The instrument is switched on and…Mathematics · Probability · Numerical
- Q46.A helicopter is flying horizontally with a speed 'v' at an altitude 'h' has to drop a food packet for a man on the ground. What is the distance of helicopter from the man when the food packet is dropped?Physics · Motion in A Plane · MCQ
- Q47.In the following logic circuit the sequence of the inputs A, B are (0, 0), (0, 1), (1, 0) and (1, 1). The output Y for this sequence will be : Includes diagramPhysics · Electronic Devices · MCQ
- Q48.Two particles A and B having charges 20 C and 5 C respectively are held fixed with a separation of 5 cm. At what position a third charged particle should be placed so that it does not experience a net electric force? Includes diagramPhysics · Electrostatics · MCQ
- Q49.An object is placed at the focus of concave lens having focal length f. What is the magnification and distance of the image from the optical centre of the lens?Physics · Geometrical Optics · MCQ
- Q50.A coil having N turns is wound tightly in the form of a spiral with inner and outer radii 'a' and 'b' respectively. Find the magnetic field at centre, when a current I passes through coil:Physics · Magnetics · MCQ
- Q51.A body of mass M moving at speed V0 collides elastically with a mass 'm' at rest. After the collision, the two masses move at angles 1 and 2 with respect to the initial direction of motion of the body of mass M. The…Physics · Center of Mass · MCQ
- Q52.The masses and radii of the earth and moon are (M1, R1) and (M2, R2) respectively. Their centres are at a distance 'r' apart. Find the minimum escape velocity for a particle of mass 'm' to be projected from the middle of these two masses :Physics · Gravitation · MCQ
- Q53.A small square loop of side 'a' and one turn is placed inside a larger square loop of side b and one turn (b >> a). The two loops are coplanar with their centres coinciding. If a current I is passed in the square loop of side 'b',…Physics · Electromagnetic Induction · MCQ
- Q54.Choose the correct waveform that can represent the voltage across R of the following circuit, assuming the diode is ideal one : Includes diagramPhysics · Electronic Devices · MCQ
- Q55.A uniform heavy rod of weight 10 kg ms 2, cross-sectional area 100 cm2 and length 20 cm is hanging from a fixed support. Young modulus of the material of the rod is 2 1011 Nm 2. Neglecting the lateral contraction, find the…Physics · Properties of Matter · MCQ
- Q56.Two plane mirrors M1 and M2 are at right angle to each other shown. A point source 'P' is placed at 'a' and '2a' meter away from M1 and M2 respectively. The shortest distance between the images thus formed is : (Take = 2.3) Includes diagramPhysics · Geometrical Optics · MCQ
- Q57.Match List - I with List - II. Choose the most appropriate answer from the option given below : Includes tablePhysics · Units and Measurements · MCQ
- Q58.For an ideal gas the instantaneous change in pressure 'p' with volume 'v' is given by the equation . If p = p0 at v =0 is the given boundary condition, then the maximum temperature one mole of gas can attain is :…Physics · Heat and Thermodynamics · MCQ
- Q59.Which of the following equations is dimensionally incorrect? Where t = time, h = height, s = surface tension, = angle, = density, a, r = radius, g = acceleration due to gravity, v = volume, p = pressure, W = work done, T =…Physics · Units and Measurements · MCQ
- Q60.Angular momentum of a single particle moving with constant speed along circular path :Physics · Rotational Motion · MCQ
- Q61.In an ac circuit, an inductor, a capacitor and a resistor are connected in series with XL = R = XC. Impedance of this circuit is :Physics · Alternating Current · MCQ
- Q62.A moving proton and electron have the same de-Broglie wavelength. If K and P denote the K.E. and momentum respectively. Then choose the correct option :Physics · Dual Nature of Radiation · MCQ
- Q63.Consider a galvanometer shunted with 5 resistance and 2% of current passes through it. What is the resistance of the given galvanometer ?Physics · Current Electricity · MCQ
- Q64.When a rubber ball is taken to a depth of m in deep sea, its volume decreases by 0.5%. (The bulk modulus of rubber = 9.8 108 Nm 2, Density of sea water = 103 kgm 3, g = 9.8 m/s2)Physics · Properties of Matter · Numerical
- Q65.A particle of mass 1 kg is hanging from a spring of force constant 100 Nm 1. The mass is pulled slightly downward and released so that it executes free simple harmonic motion with time period T. The time when the kinetic energy and…Physics · Simple Harmonic Motion · Numerical
- Q66.A square shaped wire with resistance of each side 3 is bent to form a complete circle. The resistance between two diametrically opposite points of the circle in unit of will be .Physics · Current Electricity · Numerical
- Q67.A wire having a linear mass density 9.0 10 4 kg/m is stretched between two rigid supports with a tension of 900 N. The wire resonates at a frequency of 500 Hz. The next higher frequency at which the same wire resonates is 550…Physics · Waves · Numerical
- Q68.The voltage drop across 15 resistance in the given figure will be V. Includes diagramPhysics · Current Electricity · Numerical
- Q69.A block moving horizontally on a smooth surface with a speed of 40 ms 1 splits into two equal parts. If one of the parts moves at 60 ms 1 in the same direction, then the fractional change in the kinetic energy will be x : 4 where x…Physics · Work Power and Energy · Numerical
- Q70.The electric field in an electromagnetic wave is given by E = (50 NC 1) sin (t x/c) The energy contained in a cylinder of volume V is 5.5 10 12 J. The value of V is cm3. (given …Physics · Electromagnetic Waves · Numerical
- Q71.A capacitor of 50 F is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor is C. Includes diagramPhysics · Capacitor · Numerical
- Q72.A car is moving on a plane inclined at 30 to the horizontal with an acceleration of 10 ms 2 parallel to the plane upward. A bob is suspended by a string from the roof of the car. The angle in degrees which the string makes…Physics · Laws of Motion · Numerical