JEE Main 2018 (Offline)
Paper was held on Sun, Apr 15, 2018 10:00 AM
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Chemistry

The ratio of mass percent of C and H of an organic compound (CXHYOZ) is 6 : 1. If one molecule of the above compound (CX
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Total number of lone pair of electrons in $${\rm I}_3^ - $$ ion is
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Which type of ‘defect’ has the presence of cations in the interstitial sites?
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According to molecular orbital theory, which of the following will not be a viable molecule?
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Which of the following compounds contain(s) no covalent bond(s)? KCl, PH3, O2, B2H6, H2SO4
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The combustion of benzene(l) gives CO2(g) and H2O(l). Given that heat of combustion of benzene at constant volume is –32
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Which of the following lines correctly show the temperature dependence of equilibrium constant K, for an exothermic reac
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For 1 molal aqueous solution of the following compounds, which one will show the highest freezing point?
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An aqueous solution contains an unknown concentration of Ba2+. When 50 mL of a 1 M solution of Na2SO4 is added, BaSO4 ju
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An aqueous solution contains 0.10 M H2S and 0.20 M HCl. If the equilibrium constants for the formation of HS– from H2S i
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Which of the following are Lewis acids?
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At 518oC the rate of decomposition of a sample of gaseous acetaldehyde initially at a pressure of 363 Torr, was 1.00 Tor
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Which of the following salts is the most basic in aqueous solution?
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How long (approximate) should water be electrolysed by passing through 100 amperes current so that the oxygen released c
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Hydrogen peroxide oxidises [Fe(CN)6]4- to [Fe(CN)6]3- in acidic medium but reduces [Fe(CN)6]3- to [Fe(CN)6]4- in alkalin
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When metal ‘M’ is treated with NaOH, a white gelatinous precipitate ‘X’ is obtained, which is soluble in excess of NaOH.
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The oxidation states of Cr in [Cr(H2O)6]Cl3, [Cr(C6H6)2] and K2[Cr(CN)2(O)2(O2)(NH3)] respectively are :
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The compound that does not produce nitrogen gas by the thermal decomposition is :
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Consider the following reaction and statements: [Co(NH3)4Br2]+ + Br- $$\to$$ [Co(NH3)3Br3] + NH3 (I) Two isomers are pro
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The recommended concentration of fluoride ion in drinking water is up to 1 ppm as fluoride ion is required to make teeth
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Which of the following compounds will be suitable for Kjeldahl’s method for nitrogen estimation?
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The major product of the following reaction is:
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The trans-alkenes are formed by the reduction of alkynes with
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Phenol on treatment with CO2 in the presence of NaOH followed by acidification produces compound X as the major product.
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Phenol reacts with methyl chloroformate in the presence of NaOH to form product A. A reacts with Br2 to form product B.
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The major product formed in the following reaction is :
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The increasing order of basicity of the following compounds is :
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Glucose on prolonged heating with HI gives
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The predominant form of histamine present in human blood is (pKa, Histidine = 6.0)
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An alkali is titrated against an acid with methyl orange as indicator, which of the following is a correct combination?
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Mathematics

Two sets A and B are as under : A = {($$a$$, b) $$ \in $$ R $$ \times $$ R : |$$a$$ - 5| < 1 and |b - 5| < 1}; B =
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If $$\left| {\matrix{ {x - 4} & {2x} & {2x} \cr {2x} & {x - 4} & {2x} \cr {2x} & {2x} &
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If the system of linear equations x + ky + 3z = 0 3x + ky - 2z = 0 2x + 4y - 3z = 0 has a non-zero solution (x, y, z), t
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If $$\alpha ,\beta \in C$$ are the distinct roots of the equation x2 - x + 1 = 0, then $${\alpha ^{101}} + {\beta ^{107
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Let S = { $$x$$ $$ \in $$ R : $$x$$ $$ \ge $$ 0 and $$2\left| {\sqrt x - 3} \right| + \sqrt x \left( {\sqrt x - 6} \ri
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From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row
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The sum of the co-efficients of all odd degree terms in the expansion of $${\left( {x + \sqrt {{x^3} - 1} } \right)^5} +
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Let A be the sum of the first 20 terms and B be the sum of the first 40 terms of the series 12 + 2.22 + 32 + 2.42 + 52 +
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Let $${a_1}$$, $${a_2}$$, $${a_3}$$, ......... ,$${a_{49}}$$ be in A.P. such that $$\sum\limits_{k = 0}^{12} {{a_{4k + 1
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If the curves y2 = 6x, 9x2 + by2 = 16 intersect each other at right angles, then the value of b is :
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For each t $$ \in R$$, let [t] be the greatest integer less than or equal to t. Then $$\mathop {\lim }\limits_{x \to {0^
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Let $$f\left( x \right) = {x^2} + {1 \over {{x^2}}}$$ and $$g\left( x \right) = x - {1 \over x}$$, $$x \in R - \left\{ {
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Let S = { t $$ \in R:f(x) = \left| {x - \pi } \right|.\left( {{e^{\left| x \right|}} - 1} \right)$$$$\sin \left| x \righ
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Let g(x) = cosx2, f(x) = $$\sqrt x $$ and $$\alpha ,\beta \left( {\alpha < \beta } \right)$$ be the roots of the qua
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The integral $$\int {{{{{\sin }^2}x{{\cos }^2}x} \over {{{\left( {{{\sin }^5}x + {{\cos }^3}x{{\sin }^2}x + {{\sin }^3}x
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The value of $$\int\limits_{ - \pi /2}^{\pi /2} {{{{{\sin }^2}x} \over {1 + {2^x}}}} dx$$ is
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Let y = y(x) be the solution of the differential equation $$\sin x{{dy} \over {dx}} + y\cos x = 4x$$, $$x \in \left( {0,
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Let the orthocentre and centroid of a triangle be A(-3, 5) and B(3, 3) respectively. If C is the circumcentre of this tr
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If the tangent at (1, 7) to the curve x2 = y - 6 touches the circle x2 + y2 + 16x + 12y + c = 0, then the value of c is
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Tangents are drawn to the hyperbola 4x2 - y2 = 36 at the points P and Q. If these tangents intersect at the point T(0, 3
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A straight line through a fixed point (2, 3) intersects the coordinate axes at distinct points P and Q. If O is the orig
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Tangent and normal are drawn at P(16, 16) on the parabola y2 = 16x, which intersect the axis of the parabola at A and B,
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If L1 is the line of intersection of the planes 2x - 2y + 3z - 2 = 0, x - y + z + 1 = 0 and L2 is the line of intersecti
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The length of the projection of the line segment joining the points (5, -1, 4) and (4, -1, 3) on the plane, x + y + z =
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Let $$\overrightarrow u $$ be a vector coplanar with the vectors $$\overrightarrow a = 2\widehat i + 3\widehat j - \wid
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If $$\sum\limits_{i = 1}^9 {\left( {{x_i} - 5} \right)} = 9$$ and $$\sum\limits_{i = 1}^9 {{{\left( {{x_i} - 5} \right)
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A bag contains 4 red and 6 black balls. A ball is drawn at random from the bag, its colour is observed and this ball alo
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If sum of all the solutions of the equation $$8\cos x.\left( {\cos \left( {{\pi \over 6} + x} \right).\cos \left( {{\pi
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PQR is a triangular park with PQ = PR = 200 m. A T.V. tower stands at the mid-point of QR. If the angles of elevation of
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The Boolean expression $$ \sim \left( {p \vee q} \right) \vee \left( { \sim p \wedge q} \right)$$ is equvalent to :
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Physics

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the
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All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.
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Two masses m1 = 5 kg and m2 = 10 kg, connected by an inextensible string over a frictionless pulley, are moving as shown
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In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the fin
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Seven identical circular planar disks, each of mass M and radius R are welded symmetrically as shown. The moment of iner
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A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical containe
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A particle is moving in a circular path of radius $$a$$ under the action of an attractive potential $$U = - {k \over {2
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From a uniform circular disc of radius R and mass 9M, a small disc of radius R/3 is removed as shown in the figure. The
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A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to t
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Two moles of an ideal monatomic gas occupies a volume V at 27oC. The gas expands adiabatically to a volume 2 V. Calculat
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The mass of a hydrogen molecule is 3.32 $$\times$$ 10-27 kg. If 1023 hydrogen molecules strike, per second, a fixed wall
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A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 1012/sec. What is th
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A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of gra
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Three concentric metal shells A, B and C of respective radii a, b and c (a < b < c) have surface charge densities
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A parallel plate capacitor of capacitance 90 pF is connected to a battery of emf 20 V. If a dielectric material of diele
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On interchanging the resistances, the balance point of a meter bridge shifts to the left by 10 cm. The resistance of the
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Two batteries with e.m.f 12 V and 13 V are connected in parallel across a load resistor of 10 $$\Omega $$. The internal
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An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii re, rp
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The dipole moment of a circular loop carrying a current I, is m and the magnetic field at the centre of the loop is B1.
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In an a.c. circuit, the instantaneous e.m.f. and current are given by e = 100 sin 30 t i = 20 sin $$\left( {30t - {\pi
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For an RLC circuit driven with voltage of amplitude vm and frequency $${\omega _0}$$ = $${1 \over {\sqrt {LC} }}$$ the c
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An EM wave from air enters a medium. The electric fields are $$\overrightarrow {{E_1}} $$ = $${E_{01}}\widehat x\cos \le
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The angular width of the central maximum in a single slit diffraction pattern is 60°. The width of the slit is 1 $$\mu $
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Unpolarized light of intensity I passes through an ideal polarizer A. Another identical polarizer B is placed behind A.
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An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let $${\lambda _n}$
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If the series limit frequency of the Lyman series is $${\nu _L}$$, then the series limit frequency of the Pfund series i
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It is found that if a neutron suffers an elastic collinear collision with deuterium at rest, fractional loss of its ener
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The reading of the ammeter for a silicon diode in the given circuit is :
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A telephonic communication service is working at carrier frequency of 10 GHz. Only 10% of it is utilized for transmissio
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In a potentiometer experiment, it is found that no current passes through the galvanometer when the terminals of the cel
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