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Information
JEE Main Mock Test – Full Length
Number of questions  90 
Type of questions  Multiple Choice Question with single answer correct 
Time limit (duration of exam)  180 minutes (3 hours) 
Mock Test for  JEE Main (Joint Entrance Examination – Mains) 
Marks for correct answer  +4 
Maximum Marks  360 
Subject wise division of questions
Physics  30 
Chemistry  30 
Mathematics  30 
Total questions  90 
Total Marks  360 
Instructions for the Exam – JEE Main Mock Test (full length)
Total duration of examination is 180 minutes (3 hours).
The clock will be set at the server. The countdown timer in the top left corner of the test will display the remaining time available for you to complete the examination. When the timer reaches zero, the examination will end by itself. You will not be required to end or submit your examination
The Question Palette displayed on the top of the test will show the status of each question using one of the following symbols:
– Answered
– Marked for review
The Marked for Review status for a question simply indicates that you would like to look at that question again. If a question is answered and Marked for Review, your answer for that question will not be considered in the evaluation.
Navigating to a Question
To answer a question, do the following:
 Click on the question number in the Question Palette to go to that question directly.
 Select an answer for a multiple choice type question.
 Click on Next to save your answer for the current question and then go to the next question.
 Click on Mark for Review and Next to save your answer for the current question, mark it for review, and then go to the next question.
Answering a Question
Procedure for answering a multiple choice type question:
 To select your answer, click on the button of one of the options
 To deselect your chosen answer, click on the “Review Question” button
 To change your chosen answer, click on the button of another option
 To mark the question for review, click on the Mark for Review and Next button. If an answer is selected for a question that is Marked for Review, that answer will not be considered in the evaluation.
You can shuffle between different questions any number of times.
Paper specific instructions:
 There are a total of 90 questions carrying 360 marks. The question paper consists of questions of multiple choice type questions. Multiple choice type questions will have four choices for the answer with only one correct choice.
 There are three sections: Physics, Chemistry and Mathematics.
 Questions not attempted will result in zero mark.
 Calculator is allowed. Charts, graph sheets or tables are NOT allowed in the examination hall.
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Question 1 of 90
1. Question
Category:An unknown alcohol is treated with the “Lucas reagent” to determine whether the alcohol is primary, secondary or tertiary. Which alcohol reacts fastest and by what mechanism:


Question 2 of 90
2. Question
Category:The first ionization potential of Na is 5.1 eV. The value of electron gain enthalpy of Na^{+} will be:


Question 3 of 90
3. Question
Category:Stability of the species Li_{2}, Li_{2}^{} and Li_{2}^{+} increases in the order of


Question 4 of 90
4. Question
Category:The molarity of a solution obtained by mixing 750 mL of 0.5 (M) HCl with 250 mL of 2(M)HCl will be


Question 5 of 90
5. Question
Category:Which of the following is the correct statement?


Question 6 of 90
6. Question
Category:Four successive members of the first row transition elements are listed below with atomic numbers. Which one of them is expected to have the highest E^{0}_{M3+/M3} value?


Question 7 of 90
7. Question
Category:A solution of (–) –1 – chloro –1 – phenylethane is toluene racemises slowly in the presence of a small amount of SbCl_{5}, due to the formation of


Question 8 of 90
8. Question
Category:The coagulating power of electrolytes having ions Na^{+}, Al^{3+} and Ba^{2+} for arsenic sulphide sol increases in the order


Question 9 of 90
9. Question
Category:How many litres of water must be added to 1 litre of an aqueous solution of HCl with a pH of 1 to create an aqueous solution with pH of 2?


Question 10 of 90
10. Question
Category:Which one of the following molecules is expected to exhibit diamagnetic behaviour?


Question 11 of 90
11. Question
Category:Which of the following arrangements does not represent the correct order of the property stated against it ?


Question 12 of 90
12. Question
Category:Experimentally it was found that a metal oxide has formula M_{0.98}O. Metal M, is present as M^{2+} and M^{3+} in its oxide. Fraction of the metal which exists as M^{3+} would be:


Question 13 of 90
13. Question
Category:A compound with molecular mass 180 is acylated with CH_{3}COCl to get a compound with molecular mass 390. The number of amino groups present per molecule of the former compound is:


Question 14 of 90
14. Question
Category:Given
Based on the data given above, strongest oxidising agent will be:


Question 15 of 90
15. Question
Category:Arrange the following compounds in order of decreasing acidity:


Question 16 of 90
16. Question
Category:The rate of a reaction doubles when its temperature changes from 300K to 310K. Activation energy of such a reaction will be:
(R = 8.314 JK^{–1} mol^{–1} and log 2 = 0.301)


Question 17 of 90
17. Question
Category:Synthesis of each molecule of glucose in photosynthesis involves


Question 18 of 90
18. Question
Category:Which of the following complex species is not expected to exhibit optical isomerism?


Question 19 of 90
19. Question
Category:A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 37.0°C. As it does so, it absorbs 208J of heat. The values of q and w for the process will be:
(R = 8.314 J/mol K) ( ln 7.5 = 2.01)


Question 20 of 90
20. Question
Category:A gaseous hydrocarbon gives upon combustion 0.72 g of water and 3.08 g of CO2. The empirical formula of the hydrocarbon is


Question 21 of 90
21. Question
Category:The order of stability of the following carbocations


Question 22 of 90
22. Question
Category:Which of the following represents the correct order of increasing first ionization enthalpy for Ca, Ba, S, Se and Ar?


Question 23 of 90
23. Question
Category:For gaseous state, if most probable speed is denoted by C*, average speed by C and mean square speed by C, then for a large number of molecules the ratios of these speeds are:


Question 24 of 90
24. Question
Category:The gas leaked from a storage tank of the Union Carbide plant in Bhopal gas tragedy was:


Question 25 of 90
25. Question
Category:Consider the following reaction
The values of x, y and z in the reaction are, respectively:


Question 26 of 90
26. Question
Category:Which of the following exists as covalent crystals in the solid state?


Question 27 of 90
27. Question
Category:Compound (A), C_{8}H_{9}Br, gives a white precipitate when warmed with alcoholic AgNO_{3}. Oxidation of (A) gives a acid (B), C_{8}H_{6}O_{4}. (B) easily forms anhydride on heating. Identify the compound (A).


Question 28 of 90
28. Question
Category:Energy of an electron is given by E= 2.178 x 10^{18}J. Wavelength of light required to excite an electron in an hydrogen atom from level n = 1 to n = 2 will be.


Question 29 of 90
29. Question
Category:An organic compound A upon reacting with NH_{3} gives B. On heating B gives C. C in presence of KOH reacts with Br_{2} to give CH_{3}CH_{2}NH_{2}. A is


Question 30 of 90
30. Question
Category:In which of the following pairs of molecules/ions, both the species are not likely to exist?


Question 31 of 90
31. Question
Category:In an LCR circuit as shown below both switches are open initially. Now switch S1 is closed, S2 kept open. (q is charge on the capacitor and τ = RC is capacitive time constant). Which of the following statement is correct?


Question 32 of 90
32. Question
Category:A diode detector is used to detect an amplitude modulated wave of 60% modulation by using a condenser of capacity 250 pico farad in parallel with a load resistance 100 kilo ohm. Find the maximum modulated frequency which could be detected by it.


Question 33 of 90
33. Question
Category:The supply voltage to a room is 120 V. The resistance of the lead wires is 6 Ω. A 60 W bulb is already switched on. What is the decrease of voltage across the bulb, when a 240 W heater is switched on in parallel to the bulb?


Question 34 of 90
34. Question
Category:A uniform cylinder of length L and mass M having crosssectional area A is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half submerged in a liquid of density σ at equilibrium position. The extension X_{0} of the spring when it is in equilibrium is:


Question 35 of 90
35. Question
Category:Two charges, each equal to q, are kept at x=a on the xaxis. A particle of mass m and charge q_{0}=q/2 is placed at the origin. If charge q_{0} is given a small displacement (y a) along the yaxis, the net force acting on the particle is proportional to:


Question 36 of 90
36. Question
Category:A beam of unpolarised light of intensity I0 is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of 45° relative to that of A. The intensity of the emergent light is:


Question 37 of 90
37. Question
Category:The anode voltage of a photocell is kept fixed. The wavelength λ of the light falling on the cathode is gradually changed. The plate current I of the photocell varies as follows:


Question 38 of 90
38. Question
Category:Two coherent point sources S_{1} and S_{2} are separated by a small distance ‘d’ as shown. The fringes obtained on the screen will be:


Question 39 of 90
39. Question
Category:A metallic rod of length ‘l’ is tied to a string of length 2l and made to rotate with angular speed ω on a horizontal table with one end of the string fixed. If there is a vertical magnetic field ‘B’ in the region, the e.m.f. induced across the ends of the rod is:


Question 40 of 90
40. Question
Category:In a hydrogen like atom electron makes transition from an energy level with quantum number n to another with quantum number (n – 1). If n >> 1, the frequency of radiation emitted is proportional to


Question 41 of 90
41. Question
Category:Assume that a drop of liquid evaporates by decrease in its surface energy, so that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible? The surface tension is T, density of liquid is ρ and L is its latent heat of vaporization.


Question 42 of 90
42. Question
Category:The graph between angle of deviation (δ) and angle of incidence (i) for a triangular prism is represented by:


Question 43 of 90
43. Question
Category:Let [ε0] denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then:


Question 44 of 90
44. Question
Category:
The above pv diagram represents the thermodynamic cycle of an engine, operating with an ideal monoatomic gas. The amount of heat extracted from the source in a single cycle is


Question 45 of 90
45. Question
Category:A sonometer wire of length 1.5 m is made of steel. The tension in it produces an elastic strain of 1 %. What is the fundamental frequency of steel if density and elasticity of steel are 7.7 × 10^{3} kg/m^{3} and 2.2 × 1011N/m^{2} respectively?


Question 46 of 90
46. Question
Category:This question has statement I and statement II. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement I: Higher the range, greater is the resistance of ammeter.
Statement II: To increase the range of ammeter, additional shunt needs to be used across it.


Question 47 of 90
47. Question
Category:What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?


Question 48 of 90
48. Question
Category:A projectile is given an initial velocity of (i + 2j) m/s, where i is along the ground and j is along the vertical. If g = 10 m/s^{2}, the equation of its trajectory is:


Question 49 of 90
49. Question
Category:Two capacitors C1 and C2 are charged to 120 V and 200 V respectively. It is found that by connecting them together the potential on each one can be made zero. Then :


Question 50 of 90
50. Question
Category:A hoop of radius r and mass m rotating with an angular velocity ω_{0} is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?


Question 51 of 90
51. Question
Category:An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. The piston and cylinder have equal cross sectional area A. When the piston is in equilibrium, the volume of the gas is V0 and its pressure is P_{0}. The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency:


Question 52 of 90
52. Question
Category:A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at a distance L from the end A is:


Question 53 of 90
53. Question
Category:A circular loop of radius 0.3 cm lies parallel to a much bigger circular loop of radius 20 cm. The centre of the small loop is on the axis of the bigger loop. The distance between their centres is 15 cm. If a current of 2.0 A flows through the smaller loop, then the flux linked with bigger loop is


Question 54 of 90
54. Question
Category:If a piece of metal is heated to temperature θ and then allowed to cool in a room which is at temperature θ_{0} the graph between the temperature T of the metal and time t will be closest to :


Question 55 of 90
55. Question
Category:The I – V characteristic of an LED is


Question 56 of 90
56. Question
Category:This question has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement – I : A point particle of mass m moving with speed v collides with stationary point particle of mass M. If the maximum energy loss possible is given as f (1/2mv^{2}) then f=[m/(M+m)]
Statement – II : Maximum energy loss occurs when the particles get stuck together as a result of the collision.


Question 57 of 90
57. Question
Category:The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5s. In another 10s it will decrease to α times its original magnitude, where α equals.


Question 58 of 90
58. Question
Category:Diameter of planoconvex lens is 6 cm and thickness at the centre is 3 mm. If speed of light in material of lens is 2 × 10
8 m/s, the focal length of the lens is :


Question 59 of 90
59. Question
Category:The magnetic field in a travelling electromagnetic wave has a peak value of 20 nT. The peak value of electric field strength is :


Question 60 of 90
60. Question
Category:Two short bar magnets of length 1 cm each have magnetic moments 1.20 Am^{2} and 1.00 Am^{2} respectively. They are placed on a horizontal table parallel to each other with their N poles pointing towards the South. They have a common magnetic equator and are separated by a distance of 20.0 cm. The value of the resultant horizontal magnetic induction at the mid – point O of the line joining their centres is close to (Horizontal component of earth’s magnetic induction is 3.6 × 10^{5} Wb/m^{2})


Question 61 of 90
61. Question
Category:The circle passing through (1, −2) and touching the axis of x at (3, 0) also passes through the point


Question 62 of 90
62. Question
Category:ABCD is a trapezium such that AB and CD are parallel and BC⊥CD. If ∠ADB = θ, BC = p and CD = q, then AB is equal to


Question 63 of 90
63. Question
Category:Given : A circle, 2x^{2} + 2y^{2} = 5 and a parabola, y^{2} = 4√5x.
Statement −−− I : An equation of a common tangent to these curves is y = x + √5
Statement − II : If the line, y=mx + √5/m (m!=0) is either common tangent, then m satisfies m^{4} – 3m^{2} + 2 = 0


Question 64 of 90
64. Question
Category:A ray of light along x + √3y = √3 gets reflected upon reaching xaxis, the equation of the reflected rays is


Question 65 of 90
65. Question
Category:All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given ?


Question 66 of 90
66. Question
Category:If x, y, z are in A.P. and tan^{−1}x, tan^{−1}y and tan^{−1}z are also in A.P., then


Question 67 of 90
67. Question
Category:If ∫f (x) dx =Ψ(x) , then ∫x^{5}f(x^{3}) dx is equal to


Question 68 of 90
68. Question
Category:The equation of the circle passing through the foci of the ellipse x^{2}/16 + y^{2}/9 = 1 , and having centre at (0, 3) is


Question 69 of 90
69. Question
Category:The xcoordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1) (1, 1) and (1, 0) is


Question 70 of 90
70. Question
Category:The intercepts on xaxis made by tangents to the curve, y= _{0}∫^{x} t dt, x ∈ R, which are parallel to the line y = 2x, are equal to


Question 71 of 90
71. Question
Category:The sum of first 20 terms of the sequence 0.7, 0.77, 0.777, ….. , is


Question 72 of 90
72. Question
Category:Consider :
Statement −−− I : (p ∧ ~ q) ∧ (~ p ∧ q) is a fallacy.
Statement −−− II : (p → q) ↔ (~ q → ~ p) is a tautology.


Question 73 of 90
73. Question
Category:The area (in square units) bounded by the curves y = √x, 2y – x + 3 = 0, xaxis, and lying in the first quadrant is


Question 74 of 90
74. Question
Category:The expression tan [A / (1  cot A)] + [cot A / (1  tan A)] can be written as


Question 75 of 90
75. Question
Category:The real number k for which the equation, 2x^{3} + 3x + k = 0 has two distinct real roots in [0, 1]


Question 76 of 90
76. Question
Category:


Question 77 of 90
77. Question
Category:Let T_{n} be the number of all possible triangles formed by joining vertices of an nsided regular polygon. If T_{n+1} − T_{n} = 10, then the value of n is


Question 78 of 90
78. Question
Category:At present, a firm is manufacturing 2000 items. It is estimated that the rate of change of production P w.r.t. additional number of workers x is given by dP/dx = 100 – 12√x If the firm employs 25 more workers, then the new level of production of items is


Question 79 of 90
79. Question
Category:


Question 80 of 90
80. Question
Category:If
is the adjoint of a 3 × 3 matrix A and A = 4, then a is equal to


Question 81 of 90
81. Question
Category:The number of values of k, for which the system of equations
(k + 1)x + 8y = 4k
kx + (k + 3)y = 3k − 1
has no solution, is


Question 82 of 90
82. Question
Category:If y = sec(tan^{−1}x), then dy/dx at x = 1 is equal to


Question 83 of 90
83. Question
Category:If the lines
are coplanar, then k can have


Question 84 of 90
84. Question
Category:Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of A × B having 3 or more elements is


Question 85 of 90
85. Question
Category:If the vectors AB 3i + 4k and AC = 5i – 2j + 4k are the sides of a triangle ABC, then the length of the median through A is


Question 86 of 90
86. Question
Category:A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is


Question 87 of 90
87. Question
Category:If z is a complex number of unit modulus and argument θ, then arg (1+z)/(1+z)


Question 88 of 90
88. Question
Category:If the equations x^{2} + 2x + 3 = 0 and ax^{2} + bx + c = 0, a, b, c ∈ R, have a common root, then a : b : c is


Question 89 of 90
89. Question
Category:Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is


Question 90 of 90
90. Question
Category:The term independent of x in expansion of
