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JEEMAIN-2013
JEEMAIN-2014
JEEMAIN-2015
JEEMAIN-2016
JEEMAIN-2017
If $\begin{align*}\frac{^{n+2}C_6}{^{n-2}P_2} = 11, \end{align*}$ then $n$ satisfies the equation :
jeemain 2016 maths set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
If $A = \begin{bmatrix} -4 & -1 \\ 3 & 1 \end{bmatrix},$ then the determinant of the matrix $(A^{2016} - 2A^{2015} - A^{2014})$ is :
jeemain 2016 maths set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
Let $A$ be a $3×3$ matrix such that $A^2−5A+7I=O$.
Statement - I : $A^{-1} = \frac{1}{7}(5I - A)$
Statement - II :The polynomial $A^3−2A^2−3A+I$ can be reduced to $5(A−4I).$
Then :
jeemain 2016 maths set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
Let $z=1+ai$ be a complex number, $a > 0$, such that $z^3$ is a real number. Then the sum $1+z+z^2+.....+z^{11}$ is equal to :
jeemain 2016 maths set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
If x is a solution of the equation, $\sqrt{2x + 1} - \sqrt{2x - 1} = 1, \begin{pmatrix} x \geq \frac{1}{2} \end{pmatrix}$, then $\sqrt{4x^2-1}$ is equal to :
jeemain 2016 maths set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
Let $P = \{ \theta : \sin \theta - \cos \theta = \sqrt 2 \cos \theta \}$ and $Q = \{ \theta : \sin \theta + \cos \theta = \sqrt 2 \sin \theta $ be two sets. Then :
jeemain 2016 maths set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
Observation of “Rhumann’s purple” is a confirmatory test for the presence of :
jeemain 2016 chemistry set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
Which of the following is a bactericidal antibiotic ?
jeemain 2016 chemistry set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
The “N” which does not contribute to the basicity for the compound is :
jeemain 2016 chemistry set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
Which of the following polymers is synthesized using a free radical polymerization technique ?
jeemain 2016 chemistry set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
Fluorination of an aromatic ring is easily accomplished by treating a diazonium salt with HBF4. Which of the following conditions is correct about this reaction ?
jeemain 2016 chemistry set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
The correct statement about the synthesis of erythritol $(C(CH_2OH)_4)$ used in the preparation of $PETN$ is :
jeemain 2016 chemistry set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
Which one of the following reagents is not suitable for the elimination reaction ?<p>
jeemain 2016 chemistry set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
Consider the reaction sequence below :
jeemain 2016 chemistry set c 10042016
asked
May 28, 2017
by
priyanka.c
1
answer
A circle passes through $(−2, 4)$ and touches the y-axis at $(0, 2)$. Which one of the following equations can represent a diameter of this circle ?
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
The point $(2, 1)$ is translated parallel to the line $L : x−y=4$ by $2 \sqrt 3$ units. If the new point Q lies in the third quadrant, then the equation of the line passing through Q and perpendicular to L is :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
If a variable line drawn through the intersection of the lines $\large\frac{x}{3}+\frac{y}{4}$$=1$ and $\large\frac{x}{4}+\frac{y}{3}$$=1$ , meets the coordinate axes at $A$ and $B,(A \neq B),$ then the locus of the midpoint of AB is :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
If $f(x)$ is a differentiable function in the interval $(0, \infty)$ such that $f(1)=1$ and $\lim \limits_{t \to x} \large\frac{t^2f(x)-x^2f(t)}{t-x} $$=1$ fopr each $x >0$ then $f( \large\frac{3}{2})$ is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
The area (in sq. units) of the region described by $A=\{(x, y)|y ≥ x2−5x+4, x+y ≥ 1, y ≤ 0\}$ is :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
Bromination of cyclohexene under conditions given below yields :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
If $2 \int \limits_0^1 \tan ^{-1} x dx = \int \limits _0^1 \cot ^{-1} (1-x+x^2)dx$ then $\int \limits_0^1 \tan ^{-1} (1-x+x^2)dx$ is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
Sodium extract is heated with concentrated HNO3 before testing for halogens because :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
Which one of the following substances used in dry cleaning is a better strategy to control environmental pollution ?
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
If $\int \Large\frac{dx}{\cos ^3 x \sqrt {2 \sin 2x}}$$=(\tan x)^A+C(\tan x)^B +k$ where k is a constant of integration, then $A+B+C$ equals :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
The transition metal ions responsible for color in ruby and emerald are, respectively :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
The minimum distance of a point on the curve $y=x^2−4$ from the origin is :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
Which of the following is an example of homoleptic complex ?
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
Identify the correct statement :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
If the tangent at a point $P,$ with parameter $t$, on the curve $x=4t^2+3, y=8t^3−1, t \in R,$ meets the curve again at a point Q, then the coordinates of Q are :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
Identify the incorrect statement :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
Assertion : Among the carbon allotropes, diamond is an insulator, whereas, graphite is a good conductor of electricity </br> Reason : Hybridization of carbon in diamond and graphite are $sp^3$ and $sp^2$, respectively.
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
If the function $f(x) = \left\{ \begin{array}{l l} -x, & \quad x < 1 \\ a+\cos ^{-1} (x+b), & \quad 1 \leq x \leq 2 \end{array} \right.$ is differentiable at $x=1$, then $\large\frac{a}{b}$ is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
The commercial name for calcium oxide is :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
Identify the reaction which does not liberate hydrogen :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
If $\lim \limits_{x \to \infty}$ \bigg( 1+ \large\frac{a}{x}-\frac{4]{x^2} \bigg)^{2x} =e^3$, then 'a' is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
Extraction of copper by smelting uses silica as an additive to remove :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
The value of $\sum \limits_{r=1}^{15} r^2 \bigg( \large\frac{^{15} C_r}{^{15}C_{r-1}}\bigg)$ is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
The following statements concern elements in the periodic table. Which of the following is true ?
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
Gold numbers of some colloids are : Gelatin : 0.005 - 0.01, Gum Arabic : 0.15 - 0.25; Oleate : 0.04 - 1.0; Starch : 15 - 25. Which among these is a better protective colloid ?
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
The rate law for the reaction below is given by the expression $ k [A][B] \; A+B \to Product $ If the concentration of $B$ is increased from $0.1$ to $ 0.3 \;mole$, keeping the value of $A$ at $0.1 \; mole$, the rate constant will be :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
Let $x, y, z$ be positive real numbers such that $x+y+z=12$ and $x^3y^4z^5=(0.1) (600)^3$. Then $x^3+y^3+z^3$ is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
Oxidation of succinate ion produces ethylene and carbon dioxide gases. On passing $0.2 \; Faraday$ electricity through an aqueous solution of potassium succinate, the total volume of gases (at both cathode and anode) at STP ($1 \;atm$ and $273 K$) is :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
A solid $XY$ kept in an evacuated sealed container undergoes decomposition to form a mixture of gases $ X$ and $Y$ at temperature $T$. The equilibrium pressure is $10\; bar$ in this vessel. $ K_p$ for this reaction is :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
An aqueous solution of a salt $MX_2$ at certain temperature has a van’t Hoff factor of $2$. The degree of dissociation for this solution of the salt is :
jeemain 2016 chemistry set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
If $100 \; mole$ of $ H_2O_2$ decompose at $1 \; bar$ and $300 K,$ the work done $(kJ)$ by one mole of $O_2(g)$ as it expands against 1 bar pressure is:
jeemain 2016 chemistry set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
The bond angle $H-X-H$ is the greatest in the compound :
jeemain 2016 chemistry set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
Aqueous solution of which salt will not contain ions with the electronic configuration $1s^22s^22p^63s^23p^6$ ?
jeemain 2016 chemistry set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
Initially, the $root\; mean\; square\; (rms)$ velocity of $N2$ molecules at certain temperature is $u$. If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the new $rms$ velocity will be :
jeemain 2016 chemistry set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
The volume of $0.1N$ dibasic acid sufficient to neutralize $1 g$ of a base that furnishes $0.04$ mole of $OH^{−}$ in aqueous solution is :
jeemain 2016 chemistry set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
The ratio $(R)$ of output resistance $r_0$, and the input resistance $r_i$ in measurements of input and output characteristics of a transistor is typically in the range :
jeemain 2016 physics set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
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