NEW
New Website Launch
Experience the best way to solve previous year questions with mock tests (very detailed analysis), bookmark your favourite questions, practice etc...

JEE Main 2018 (Offline)

Exam Held on Sun Apr 15 2018 10:00:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

Chemistry

The ratio of mass percent of C and H of an organic compound (C<sub>X</sub>H<sub>...
Total number of lone pair of electrons in $${\rm I}_3^ - $$ ion is
Which type of ‘defect’ has the presence of cations in the interstitial sites?
According to molecular orbital theory, which of the following will not be a viab...
Which of the following compounds contain(s) no covalent bond(s)? KCl, PH<sub>3</...
The combustion of benzene(l) gives CO<sub>2</sub>(g) and H<sub>2</sub>O(l). Give...
Which of the following lines correctly show the temperature dependence of equili...
For 1 molal aqueous solution of the following compounds, which one will show the...
An aqueous solution contains an unknown concentration of Ba<sup>2+</sup>. When 5...
An aqueous solution contains 0.10 M H<sub>2</sub>S and 0.20 M HCl. If the equili...
Which of the following are Lewis acids?
At 518<sup>o</sup>C the rate of decomposition of a sample of gaseous acetaldehyd...
Which of the following salts is the most basic in aqueous solution?
How long (approximate) should water be electrolysed by passing through 100 amper...
Hydrogen peroxide oxidises [Fe(CN)<sub>6</sub>]<sup>4-</sup> to [Fe(CN)<sub>6</s...
When metal ‘M’ is treated with NaOH, a white gelatinous precipitate ‘X’ is obtai...
The oxidation states of Cr in [Cr(H<sub>2</sub>O)<sub>6</sub>]Cl<sub>3</sub>, [C...
The compound that does not produce nitrogen gas by the thermal decomposition is
Consider the following reaction and statements:<br> [Co(NH<sub>3</sub>)<sub>4</s...
The recommended concentration of fluoride ion in drinking water is up to 1 ppm a...
Which of the following compounds will be suitable for Kjeldahl’s method for nitr...
The major product of the following reaction is: <img class="question-image" src=...
The trans-alkenes are formed by the reduction of alkynes with
Phenol on treatment with CO<sub>2</sub> in the presence of NaOH followed by acid...
Phenol reacts with methyl chloroformate in the presence of NaOH to form product ...
The major product formed in the following reaction is : <img class="question-ima...
The increasing order of basicity of the following compounds is : <img class="que...
Glucose on prolonged heating with HI gives
The predominant form of histamine present in human blood is (pK<sub>a</sub>, His...
An alkali is titrated against an acid with methyl orange as indicator, which of ...

Mathematics

Two sets A and B are as under : <br><br>A = {($$a$$, b) $$ \in $$ R $$ \times $$...
If $$\left| {\matrix{ {x - 4} &amp; {2x} &amp; {2x} \cr {2x} &amp; {x - ...
If the system of linear equations <br><br>x + ky + 3z = 0 <br>3x + ky - 2z = 0 <...
If $$\alpha ,\beta \in C$$ are the distinct roots of the equation <br>x<sup>2</...
Let S = { $$x$$ $$ \in $$ R : $$x$$ $$ \ge $$ 0 and <br><br>$$2\left| {\sqrt x ...
From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary ...
The sum of the co-efficients of all odd degree terms in the expansion of <br><br...
Let A be the sum of the first 20 terms and B be the sum of the first 40 terms of...
Let $${a_1}$$, $${a_2}$$, $${a_3}$$, ......... ,$${a_{49}}$$ be in A.P. such tha...
If the curves y<sup>2</sup> = 6x, 9x<sup>2</sup> + by<sup>2</sup> = 16 intersect...
For each t $$ \in R$$, let [t] be the greatest integer less than or equal to t. ...
Let $$f\left( x \right) = {x^2} + {1 \over {{x^2}}}$$ and $$g\left( x \right) = ...
Let S = { t $$ \in R:f(x) = \left| {x - \pi } \right|.\left( {{e^{\left| x \righ...
Let g(x) = cosx<sup>2</sup>, f(x) = $$\sqrt x $$ and $$\alpha ,\beta \left( {\al...
The integral <br><br>$$\int {{{{{\sin }^2}x{{\cos }^2}x} \over {{{\left( {{{\sin...
The value of $$\int\limits_{ - \pi /2}^{\pi /2} {{{{{\sin }^2}x} \over {1 + {2^x...
Let y = y(x) be the solution of the differential equation <br><br>$$\sin x{{dy} ...
Let the orthocentre and centroid of a triangle be A(-3, 5) and B(3, 3) respectiv...
If the tangent at (1, 7) to the curve x<sup>2</sup> = y - 6 <br><br>touches the ...
Tangents are drawn to the hyperbola 4x<sup>2</sup> - y<sup>2</sup> = 36 at the p...
A straight line through a fixed point (2, 3) intersects the coordinate axes at d...
Tangent and normal are drawn at P(16, 16) on the parabola y<sup>2</sup> = 16x, w...
If L<sub>1</sub> is the line of intersection of the planes 2x - 2y + 3z - 2 = 0,...
The length of the projection of the line segment joining the points (5, -1, 4) a...
Let $$\overrightarrow u $$ be a vector coplanar with the vectors $$\overrightarr...
If $$\sum\limits_{i = 1}^9 {\left( {{x_i} - 5} \right)} = 9$$ and <br><br>$$\su...
A bag contains 4 red and 6 black balls. A ball is drawn at random from the bag, ...
If sum of all the solutions of the equation <br><br>$$8\cos x.\left( {\cos \left...
PQR is a triangular park with PQ = PR = 200 m. A T.V. tower stands at the mid-po...
The Boolean expression <br><br>$$ \sim \left( {p \vee q} \right) \vee \left( { \...

Physics

The density of a material in the shape of a cube is determined by measuring thre...
All the graphs below are intended to represent the same motion. One of them does...
Two masses m<sub>1</sub> = 5 kg and m<sub>2</sub> = 10 kg, connected by an inext...
In a collinear collision, a particle with an initial speed v<sub>0</sub> strikes...
Seven identical circular planar disks, each of mass M and radius R are welded sy...
A solid sphere of radius r made of a soft material of bulk modulus K is surround...
A particle is moving in a circular path of radius $$a$$ under the action of an a...
From a uniform circular disc of radius R and mass 9M, a small disc of radius R/3...
A particle is moving with a uniform speed in a circular orbit of radius R in a c...
Two moles of an ideal monatomic gas occupies a volume V at 27<sup>o</sup>C. The ...
The mass of a hydrogen molecule is 3.32 $$\times$$ 10<sup>-27</sup> kg. If 10<su...
A silver atom in a solid oscillates in simple harmonic motion in some direction ...
A granite rod of 60 cm length is clamped at its middle point and is set into lon...
Three concentric metal shells A, B and C of respective radii a, b and c (a &lt; ...
A parallel plate capacitor of capacitance 90 pF is connected to a battery of emf...
On interchanging the resistances, the balance point of a meter bridge shifts to ...
Two batteries with e.m.f 12 V and 13 V are connected in parallel across a load r...
An electron, a proton and an alpha particle having the same kinetic energy are m...
The dipole moment of a circular loop carrying a current I, is m and the magnetic...
In an a.c. circuit, the instantaneous e.m.f. and current are given by <br> e = 1...
For an RLC circuit driven with voltage of amplitude vm and frequency $${\omega _...
An EM wave from air enters a medium. The electric fields are<br> $$\overrightarr...
The angular width of the central maximum in a single slit diffraction pattern is...
Unpolarized light of intensity I passes through an ideal polarizer A. Another id...
An electron from various excited states of hydrogen atom emit radiation to come ...
If the series limit frequency of the Lyman series is $${\nu _L}$$, then the seri...
It is found that if a neutron suffers an elastic collinear collision with deuter...
The reading of the ammeter for a silicon diode in the given circuit is : <img cl...
A telephonic communication service is working at carrier frequency of 10 GHz. On...
In a potentiometer experiment, it is found that no current passes through the ga...

Joint Entrance Examination

JEE Main JEE Advanced WB JEE

Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

Medical

NEET

CBSE

Class 12