JEE (MAINS) 2017 with Solutions

JEE (MAINS) 2017 with Solutions

Sample Questions

The formation of which of the following polymers involves hydrolysis reaction
(1) Terylene (2) Nylon 6 (3) Bakelite(4) Nylon 6, 6

The Tyndall effect is observed only when following conditions are satisfied :
(a) The diameter of the dispersed particles is much smaller than the wavelength of the light used.
(b) The diameter of the dispersed particle is not much smaller than the wavelength of the light used.
(c) The refractive indices of the dispersed phase and dispersion medium are almost similar in
magnitude.
(d) The refractive indices of the dispersed phase and dispersion medium differ greatly in
magnitude.
(1) (b) and (c) (2) (a) and (d) (3) (b) and (d) (4) (a) and (c)

3-Methyl-pent-2-ene on reaction with HBr in presence of peroxide forms an addition product. The number of possible stereoisomers for the product is:
(1) Four (2) Six (3) Zero (4) Two

Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the flower-bed, is :
(1) 25 (2) 30 (3) 12.5 (4) 10

In a Young’s double slit experiment, slits are separated by 0.5 mm, and the screen is placed 150 cm  away. A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes on the screen. The least distance from the common central maximum to the point where the bright fringes due to both the wavelengths coincide is:
(1) 7.8 mm (2) 9.75 mm (3) 15.6 mm (4) 1.56 mm

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JEE (MAINS) 2016 with Solutions

JEE (MAINS) 2016 with Solutions

Sample Questions

An observer looks at a distant tree of height 10 m
with a telescope of magnifying power of 20. To
the observer the tree appears :
(1) 20 times nearer
(2) 10 times taller
(3) 10 times nearer
(4) 20 times taller

Arrange the following electromagnetic radiations
per quantum in the order of increasing energy :-
A : Blue light B : Yellow light
C : X–ray D : Radiowave
(1) B, A, D, C (2) D, B, A, C
(3) A, B, D, C (4) C, A, B, D

Which one of the following ores is best concentrated by froth floatation method ?
(1) Magnetite (2) Siderite (3) Galena (4) Malachite

Which one of the following statements about water is FALSE ?
(1) Water is oxidized to oxygen during photosynthesis.
(2) Water can act both as an acid and as a base.
(3) There is extensive intramolecular hydrogen bonding in the condensed phase.
(4) Ice formed by heavy water sinks in normal water

The concentration of fluoride, lead, nitrate and iron in a water sample from an underground lake was found to be 1000 ppb, 40 ppb, 100 ppm and 0.2 ppm, respectively. This water is unsuitable for drinking
due to high concentration of :
(1) Fluoride (2) Lead (3) Nitrate (4) Iron

The distillation technique most suited for separating glycerol from spentlye in the soap industry is :
(1) Simple distillation (2) Fractional distillation
(3) Steam distillation (4) Distillation under reduced pressure

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JEE (MAINS) 2015 with Solutions

JEE (MAINS) 2015 with Solutions

Sample Questions

Which of the following is the energy of a possible excited state of hydrogen?
(1) –6.8 eV (2) –3.4 eV
(3) +6.8 eV (4) +13.6 eV

Which of the following compounds is not an antacid?
(1) Cimetidine (2) Phenelzine
(3) Ranitidine (4) Aluminium hydroxide

Which polymer is used in the manufacture of paints and lacquers?
(1) Glyptal (2) Polypropene
(3) Poly vinyl chloride (4) Bakelite

Higher order (>3) reactions are rare due to:
(1) increase in entropy and activation energy as more molecules are involved
(2) shifting of equilibrium towards reactants due to elastic collisions
(3) loss of active species on collision
(4) low probability of simultaneous collision of all the reacting species

3 g of activated charcoal was added to 50 mL of acetic acid solution (0.06N) in a flask. After an hour it was  filtered and the strength of the filtrate was found to be 0.042 N. The amount of acetic acid adsorbed (per
gram of charcoal) is:
(1) 36 mg (2) 42 mg
(3) 54 mg (4) 18 mg

The synthesis of alkyl fluorides is best accomplished by:
(1) Sandmeyer’s reaction (2) Finkelstein reaction
(3) Swarts reaction (4) Free radical fluorination

Which of the vitamins given below is water soluble?
(1) Vitamin D (2) Vitamin E
(3) Vitamin K (4) Vitamin C

The intermolecular interaction that is dependent on the inverse cube of distance between the molecule is:
(1) ion-dipole interaction (2) London force
(3) hydrogen bond (4) ion-ion interaction

In Carius method of estimation of halogens, 250 mg of an organic compound gave 141 mg of AgBr. The percentage of bromine in the compound is: (at. Mass Ag = 108; Br = 80)
(1) 36 (2) 48
(3) 60 (4) 24

Which of the following compounds will exhibit geometrical isomerism?
(1) 3-Phenyl-1-butene (2) 2-Phenyl-1-butene
(3) 1,1-Diphenyl-1-propane (4) 1-Phenyl-2-butene

Which one has the highest boiling point?
(1) Ne (2) Kr
(3) Xe (4) He

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JEE (MAINS) 2014 with Solutions

JEE (MAINS) 2014 with Solutions

Sample Questions

An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be length of the air column above mercury in the tube now? (Atmospheric Pressure = 76 cm of Hg)
(1) 38 cm (2) 6 cm
(3) 16 cm (4) 22 cm

In a large building, there are 15 bulbs of 40 W, 5 bulbs of 100 W, 5 fans of 80 W and 1 heater of 1kW. The voltage of the electric mains is 220 V. The minimum capacity of the main fuse of the building will be :
(1) 12 A (2) 14 A
(3) 8 A (4) 10 A

A pipe of length 85 cm is closed from one end. Find the number of possible natural oscillations of air column in the pipe whose frequencies lie below 1250 Hz. The velocity of sound in air is 340 m/s.
(1) 6 (2) 4
(3) 12 (4) 8

Which one of the following properties is not shown by NO?
(1) It combines with oxygen to form nitrogen dioxide
(2) It’s bond order is 2.5
(3) It is diamagnetic in gaseous state
(4) It is a neutral oxide

The metal that cannot be obtained by electrolysis of an aqueous solution of its salts is:
(1) Cu (2) Cr
(3) Ag (4) Ca

Which one is classified as a condensation polymer?
(1) Teflon (2) Acrylonitrile
(3) Dacron (4) Neoprene

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JEE (MAINS) 2013 with Solutions

AIEEE 2013 with Solutions

Sample Questions

The first ionization potential of Na is 5.1 eV. The value of electron gain enthalpy of Na+ will be:
(1) – 5.1 eV (3) –10.2 eV
(3) + 2.55 eV (4) – 2.55 eV

Which of the following is the wrong statement?
(1) O3 molecule is bent (2) Ozone is violet-black in solid state
(3) Ozone is diamagnetic gas (4) ONCl and ONO are not isoelectronic

A solution of (–) –1 – chloro –1 – phenylethane is toluene racemises slowly in the presence of a small amount of SbCl5, due to the formation of :
(1) carbene (2) carbocation
(3) free radical (4) carbanion

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?
(1) 0.9 L (2) 2.0 L
(3) 9.0 L (4) 0.1 L

A compound with molecular mass 180 is acylated with CH3COCl to get a compound with molecular mass 390. The number of amino groups present per molecule of the former compound is:
(1) 5 (2) 4
(3) 6 (4) 2

Synthesis of each molecule of glucose in photosynthesis involves:
(1) 10 molecules of ATP (2) 8 molecules of ATP
(3) 6 molecules of ATP (4) 18 molecules of ATP

Which of the following represents the correct order of increasing first ionization enthalpy for Ca, Ba, S, Se and Ar?
(1) S < Se < Ca < Ba < Ar (2) Ba < Ca < Se < S < Ar
(3) Ca < Ba < S < Se < Ar (4) Ca < S < Ba < Se < Ar

The gas leaked from a storage tank of the Union Carbide plant in Bhopal gas tragedy was:
(1) Methylamine (2) Ammonia
(3) Phosgene (4) Methylisocyanate

Which of the following exists as covalent crystals in the solid state?
(1) Silicon (2) Sulphur
(3) Phosphorous (4) Iodine

The circle passing through (1, −2) and touching the axis of x at (3, 0) also passes through the point
(1) (2, −5) (2) (5, −2)
(3) (−2, 5) (4) (−5, 2)

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 ?
(1) median (2) mode
(3) variance (4) mean

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AIEEE 2012 with Solutions

AIEEE 2012 with Solutions

Sample Questions

The negation of the statement “If I become a teacher, then I will open a school” is
(1) I will become a teacher and I will not open a school
(2) Either I will not become a teacher or I will not open a school
(3) Neither I will become a teacher nor I will open a school
(4) I will not become a teacher or I will open a school

A wooden wheel of radius R is made of two semicircular parts (see figure); The two parts are held together by a ring made of a metal strip of cross sectional area S and length L. L is slightly less than 2πR. To fit the ring on the wheel, it is heated so that its temperature rises by ∆T and it just steps over the wheel. As it cools down to surrounding temperature, it presses the semicircular parts together. If the coefficient of linear expansion of the metal is α, and its Youngs’modulus is Y, the force that one part of the wheel applies on the other part is :
(1) 2πSYα∆T (2) SYα∆T (3) πSYα ∆T (4) 2SYα ∆T

The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant τ of this circuit lies between:
(1) 150 sec and 200 sec (2) 0 and 50 sec (3) 50 sec and 100 sec (4) 100 sec and 150 sec

A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil it starts oscillating; it is very difficult to stop. But if an aluminium plate is placed near to the coil, it stops. This is due to : (
1) development of air current when the plate is placed.
(2) induction of electrical charge on the plate
(3) shielding of magnetic lines of force as aluminium is a paramagnetic material.
(4) electromagnetic induction in the aluminium plate giving rise to electromagnetic damping.

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AIEEE 2011 with Solutions

AIEEE 2011

Sample Questions

A screw gauge gives the following reading when used to measure the diameter of a wire. Main scale reading : 0 mm
Circular scale reading : 52 divisions
Given that 1 mm on main scale corresponds to 100 divisions of the circular scale.
The diameter of wire from the above date is :
(1) 0.052 cm (2) 0.026 cm (3) 0.005 cm (4) 0.52 cm

A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc:
(1) continuously decreases (2) continuously increases
(3) first increases and then decreases (4) remains unchanged

This question has Statement – 1 and Statement – 2. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement-1 : Sky wave signals are used for long distance radio communication. These signals are in general, less stable than ground wave signals.
Statement-2 : The state of ionosphere varies from hour to hour, day to day and season to season.
(1) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.
(2) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.
(3) Statement-1 is false, Statement-2 is true.
(4) Statement-1 is true, Statement-2 is false.

If a wire is stretched to make it 0.1% longer, its resistance will :
(1) increase by 0.2% (2) decrease by 0.2% (3) decrease by 0.05% (4) increases by 0.05%

Energy required for the electron excitation in Li++ from the first to the third Bohr orbit is :
(1) 36.3 eV (2) 108.8 eV (3) 122.4 eV (4) 12.1 eV

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AIEEE 2010 with Solutions

AIEEE 2010 with Solutions

Sample Questions

One mole of a symmetrical alkene on ozonolysis gives two moles of an aldehyde having a molecular mass of 44 u. The alkene is
(1) propene (2) 1–butene (3) 2–butene (4) ethene

From amongst the following alcohols the one that would react fastest with conc. HCl and anhydrous ZnCl2, is
(1) 2–Butanol (2) 2–Methylpropan–2–ol (3) 2–Methylpropanol (4) 1–Butanol

29.5 mg of an organic compound containing nitrogen was digested according to Kjeldahl’s method and the evolved ammonia was absorbed in 20 mL of 0.1 M HCl solution. The excess of the acid required 15 mL of 0.1 M NaOH solution for complete neutralization. The percentage of nitrogen in
the compound is
(1) 59.0 (2) 47.4 (3) 23.7 (4) 29.5

The edge length of a face centered cubic cell of an ionic substance is 508 pm. If the radius of the cation is 110 pm, the radius of the anion is
(1) 288 pm (2) 398 pm (3) 618 pm (4) 144 pm

Out of the following, the alkene that exhibits optical isomerism is
(1) 3–methyl–2–pentene (2) 4–methyl–1–pentene
(3) 3–methyl–1–pentene (4) 2–methyl–2–pentene

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AIEEE 2009 with solutions

AIEEE 2009

Sample Questions

This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement – 1: For a charged particle moving from point P to point Q, the net work done by an electrostatic field on the particle is independent of the path connecting point P to point Q.
Statement-2: The net work done by a conservative force on an object moving along a closed loop is zero
(1) Statement-1 is true, Statement-2 is false
(2) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.
(3) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.
(4) Statement-1 is false, Statement-2 is true

A mixture of light, consisting of wavelength 590 nm and an unknown wavelength, illuminates Young’s double slit and gives rise to two overlapping interference patterns on the screen. The central maximum of both lights coincide. Further, it is observed that the third bright fringe of known light
coincides with the 4th bright fringe of the unknown light. From this data, the wavelength of the unknown light is
(1) 393.4 nm (2) 885.0 nm
(3) 442.5 nm (4) 776.8 nm

In an experiment the angles are required to be measured using an instrument. 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half-a-degree(=0.5o
), then the least count of the instrument is
(1) one minute (2) half minute
(3) one degree (4) half degree

The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2=0.301) :
(1) 230.3 minutes (2) 23.03 minutes
(3) 46.06 minutes (4) 460.6 minutes

A binary liquid solution is prepared by mixing n-heptane and ethanol. Which one of the following statements is correct regarding the behaviour of the solution ?
(1) The solution formed is an ideal solution
(2) The solution is non-ideal, showing +ve deviation from Raoult’s law.
(3) The solution is non-ideal, showing –ve deviation from Raoult’s law.
(4) n-heptane shows +ve deviation while ethanol shows –ve deviation from Raoult’s law.

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AIEEE 2008 with Solutions

AIEEE 2008

Sample Questions

A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2. Then the length of the semi−major axis is
(1) 8/3
(2) 2/3
(3) 4/3
(4) 5/3

A parabola has the origin as its focus and the line x = 2 as the directrix. Then the vertex of the
parabola is at
(1) (0, 2)
(2) (1, 0)
(3) (0, 1)
(4) (2, 0)

The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?
(1) a = 0, b = 7 (2) a = 5, b = 2
(3) a = 1, b = 6 (4) a = 3, b = 4

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