JEE Main 2018 (Offline)

Paper was held on
Sun, Apr 15, 2018 10:00 AM

## 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

View Question
Total number of lone pair of electrons in $${\rm I}_3^ - $$ ion is

View Question
Which type of ‘defect’ has the presence of cations in the interstitial sites?

View Question
According to molecular orbital theory, which of the following will not be a viable molecule?

View Question
Which of the following compounds contain(s) no covalent bond(s)?
KCl, PH3, O2, B2H6, H2SO4

View Question
The combustion of benzene(l) gives CO2(g) and H2O(l). Given that heat of combustion of benzene at constant volume is –32

View Question
Which of the following lines correctly show the temperature dependence of equilibrium constant K, for an
exothermic reac

View Question
For 1 molal aqueous solution of the following compounds, which one will show the highest freezing
point?

View Question
An aqueous solution contains an unknown concentration of Ba2+. When 50 mL of a 1 M solution of Na2SO4 is added, BaSO4 ju

View Question
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

View Question
Which of the following are Lewis acids?

View Question
At 518oC the rate of decomposition of a sample of gaseous acetaldehyde initially at a pressure of 363 Torr,
was 1.00 Tor

View Question
Which of the following salts is the most basic in aqueous solution?

View Question
How long (approximate) should water be electrolysed by passing through 100 amperes current so that the
oxygen released c

View Question
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

View Question
When metal ‘M’ is treated with NaOH, a white gelatinous precipitate ‘X’ is obtained, which is soluble in
excess of NaOH.

View Question
The oxidation states of Cr in [Cr(H2O)6]Cl3, [Cr(C6H6)2] and K2[Cr(CN)2(O)2(O2)(NH3)] respectively are :

View Question
The compound that does not produce nitrogen gas by the thermal decomposition is :

View Question
Consider the following reaction and statements:
[Co(NH3)4Br2]+ + Br- $$\to$$ [Co(NH3)3Br3] + NH3
(I) Two isomers are pro

View Question
The recommended concentration of fluoride ion in drinking water is up to 1 ppm as fluoride ion is required
to make teeth

View Question
Which of the following compounds will be suitable for Kjeldahl’s method for nitrogen estimation?

View Question
The major product of the following reaction is:

View Question
The trans-alkenes are formed by the reduction of alkynes with

View Question
Phenol on treatment with CO2 in the presence of NaOH followed by acidification produces compound X as
the major product.

View Question
Phenol reacts with methyl chloroformate in the presence of NaOH to form product A. A reacts with Br2 to
form product B.

View Question
The major product formed in the following reaction is :

View Question
The increasing order of basicity of the following compounds is :

View Question
Glucose on prolonged heating with HI gives

View Question
The predominant form of histamine present in human blood is (pKa, Histidine = 6.0)

View Question
An alkali is titrated against an acid with methyl orange as indicator, which of the following is a correct combination?

View Question
## Mathematics

Two sets A and B are as under :
A = {($$a$$, b) $$ \in $$ R $$ \times $$ R : |$$a$$ - 5| < 1 and |b - 5| < 1};
B =

View Question
If $$\left| {\matrix{
{x - 4} & {2x} & {2x} \cr
{2x} & {x - 4} & {2x} \cr
{2x} & {2x} &

View Question
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

View Question
If $$\alpha ,\beta \in C$$ are the distinct roots of the equation
x2 - x + 1 = 0, then $${\alpha ^{101}} + {\beta ^{107

View Question
Let S = { $$x$$ $$ \in $$ R : $$x$$ $$ \ge $$ 0 and
$$2\left| {\sqrt x - 3} \right| + \sqrt x \left( {\sqrt x - 6} \ri

View Question
From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and
arranged in a row

View Question
The sum of the co-efficients of all odd degree terms in the expansion of
$${\left( {x + \sqrt {{x^3} - 1} } \right)^5} +

View Question
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 +

View Question
Let $${a_1}$$, $${a_2}$$, $${a_3}$$, ......... ,$${a_{49}}$$ be in A.P. such that
$$\sum\limits_{k = 0}^{12} {{a_{4k + 1

View Question
If the curves y2 = 6x, 9x2 + by2 = 16 intersect each other at right angles, then the value of b is :

View Question
For each t $$ \in R$$, let [t] be the greatest integer less than or equal to t.
Then $$\mathop {\lim }\limits_{x \to {0^

View Question
Let $$f\left( x \right) = {x^2} + {1 \over {{x^2}}}$$ and $$g\left( x \right) = x - {1 \over x}$$,
$$x \in R - \left\{ {

View Question
Let S = { t $$ \in R:f(x) = \left| {x - \pi } \right|.\left( {{e^{\left| x \right|}} - 1} \right)$$$$\sin \left| x \righ

View Question
Let g(x) = cosx2, f(x) = $$\sqrt x $$ and $$\alpha ,\beta \left( {\alpha < \beta } \right)$$ be the roots of the qua

View Question
The integral
$$\int {{{{{\sin }^2}x{{\cos }^2}x} \over {{{\left( {{{\sin }^5}x + {{\cos }^3}x{{\sin }^2}x + {{\sin }^3}x

View Question
The value of $$\int\limits_{ - \pi /2}^{\pi /2} {{{{{\sin }^2}x} \over {1 + {2^x}}}} dx$$ is

View Question
Let y = y(x) be the solution of the differential equation
$$\sin x{{dy} \over {dx}} + y\cos x = 4x$$, $$x \in \left( {0,

View Question
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

View Question
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

View Question
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

View Question
A straight line through a fixed point (2, 3) intersects the coordinate axes at distinct points P and Q. If O is
the orig

View Question
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,

View Question
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

View Question
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 =

View Question
Let $$\overrightarrow u $$ be a vector coplanar with the vectors $$\overrightarrow a = 2\widehat i + 3\widehat j - \wid

View Question
If $$\sum\limits_{i = 1}^9 {\left( {{x_i} - 5} \right)} = 9$$ and
$$\sum\limits_{i = 1}^9 {{{\left( {{x_i} - 5} \right)

View Question
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

View Question
If sum of all the solutions of the equation
$$8\cos x.\left( {\cos \left( {{\pi \over 6} + x} \right).\cos \left( {{\pi

View Question
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

View Question
The Boolean expression
$$ \sim \left( {p \vee q} \right) \vee \left( { \sim p \wedge q} \right)$$ is equvalent to :

View Question
## 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

View Question
All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.

View Question
Two masses m1 = 5 kg and m2 = 10 kg, connected by an inextensible
string over a frictionless pulley, are moving as shown

View Question
In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If
the fin

View Question
Seven identical circular planar disks, each of mass M and radius R are
welded symmetrically as shown. The moment of iner

View Question
A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a
cylindrical containe

View Question
A particle is moving in a circular path of radius $$a$$ under the action of an attractive potential $$U = - {k \over {2

View Question
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

View Question
A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely
proportional to t

View Question
Two moles of an ideal monatomic gas occupies a volume V at 27oC. The gas expands adiabatically to a
volume 2 V. Calculat

View Question
The mass of a hydrogen molecule is 3.32 $$\times$$ 10-27 kg. If 1023 hydrogen molecules strike, per second, a fixed wall

View Question
A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 1012/sec. What is th

View Question
A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The
density of gra

View Question
Three concentric metal shells A, B and C of respective radii a, b and c (a < b < c) have surface charge
densities

View Question
A parallel plate capacitor of capacitance 90 pF is connected to a battery of emf 20 V. If a dielectric material
of diele

View Question
On interchanging the resistances, the balance point of a meter bridge shifts to the left by 10 cm. The
resistance of the

View Question
Two batteries with e.m.f 12 V and 13 V are connected in parallel across a load resistor of 10 $$\Omega $$. The
internal

View Question
An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of
radii re, rp

View Question
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.

View Question
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

View Question
For an RLC circuit driven with voltage of amplitude vm and frequency $${\omega _0}$$ = $${1 \over {\sqrt {LC} }}$$ the c

View Question
An EM wave from air enters a medium. The electric fields are
$$\overrightarrow {{E_1}} $$ = $${E_{01}}\widehat x\cos \le

View Question
The angular width of the central maximum in a single slit diffraction pattern is 60°. The width of the slit is
1 $$\mu $

View Question
Unpolarized light of intensity I passes through an ideal polarizer A. Another identical polarizer B is placed
behind A.

View Question
An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let
$${\lambda _n}$

View Question
If the series limit frequency of the Lyman series is $${\nu _L}$$, then the series limit frequency of the Pfund series i

View Question
It is found that if a neutron suffers an elastic collinear collision with deuterium at rest, fractional loss of its
ener

View Question
The reading of the ammeter for a silicon diode in the given circuit
is :

View Question
A telephonic communication service is working at carrier frequency of 10 GHz. Only 10% of it is utilized
for transmissio

View Question
In a potentiometer experiment, it is found that no current passes through the galvanometer when the
terminals of the cel

View Question