The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0 ,
$1, 2, 3, 4, 5, 6, 7$ , such that the sum of their first and last digits should not be more than 8 , is
a.
4608
b.
5720
c.
5719
d.
4607
Correct Answer
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Q2mcq
Let for some function $y =f(x),\int _{0}^{x} tf(t)dt=x^{2}f(x),x> 0$ and $f(2) = 3$ . Then $f(6)$ is equal to
a.
1
Correct Answer
b.
3
c.
6
d.
2
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Q3mcq
The sum, of the squares of all the roots of the equation $x^{2} + |2x-3| -4 = 0$ , is
a.
$3(3 - \sqrt{2})$
b.
$6(3 - \sqrt{2})$
c.
$6(2 - \sqrt{2})$
Correct Answer
d.
$3(2 - \sqrt{2})$
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Q4mcq
Three defective oranges are accidently mixed with seven good ones and on looking at them, it is not possible
to differentiate between them. Two oranges are drawn at random from the lot. If $x$ denote the number of
defective oranges, then the variance of $x$ is
a.
28/75
Correct Answer
b.
18/25
c.
$26/75$
d.
$14/25$
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Q5nat
Let M denote the set of all real matrices of order $3 \times 3$ and let $S = {-3, -2, -1, 1, 2}$ . Let
$S_{1} ={A = [a_{ij}] \in M : A = A^{T}\,and\,a_{ij} \in \,S, \forall i, j},$
$S_{2} ={A = [a_{ij}] \in M : A = -A^{T}\,and\,a_{ij} \in \,S, \forall i, j},$
$S_{3} = {A = [a_{ij}] \in M :a_{11}+a_{22}+a_{33} = 0\,and\,a_{ij} \in \,S, \forall i, j}.$
If $n(\,S_{1}\cup _{2}US_{3}) = 125\alpha$ , then $\alpha$ equals _______
✓ Accepted Answer:1613
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Q6nat
$\{3x, x< 0$
Let $f(x) =min{1 +x+ [x],x+ 2[x]}, 0 \leq x\leq 2$ where [.] denotes greatest integer function. If $\alpha$ and $\beta$
$\{$
$5, x> 2,$
are the number of points, where f is not continuous and is not differentiable, respectively, then $\alpha +\beta$ equals
__________
✓ Accepted Answer:5
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Q7mcq
Let $f :R\rightarrow \rightarrow R$ be a function defined by $f(x) = (2 + 3a)x^{2} +( \frac{a+2}{a-1})x+b,a\neq 1. \,If\,$
$f(x+ y) =f(x) +f(y) + 1 - \frac{2}{7}xy$ , then the value of $28\sum ^{5}_{i=1} |f(i)|$ is
a.
545
b.
715
c.
735
d.
675
Correct Answer
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Q8mcq
Let the equation of the circle, which touches $x$ -axis at the point $(a, 0),a> 0$ and cuts off an intercept of length $b$
on $y$ -axis be $x^{2} +y^{2} - \alpha x+\beta y+\gamma = 0$ . If the circle lies below $x$ -axis, then the ordered pair $(2a,b^{2})$ is equal
to
a.
$(\gamma ,\beta ^{2} -4\alpha )$
b.
$(\alpha ,\beta ^{2} + 4\gamma )$
c.
$(\gamma ,\beta ^{2} + 4\alpha )$
d.
$(\alpha ,\beta ^{2} -4\gamma )$
Correct Answer
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Q9mcq
The relation $R= {(x,y) :x,y\in Z$ and $x+y$ is even $}$ is:
a.
reflexive and symmetric but not transitive
b.
an equivalence relation
Correct Answer
c.
symmetric and transitive but not reflexive
d.
reflexive and transitive but not symmetric
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Q10mcq
If the image of the point $(4, 4, 3)$ in the line $\frac{x-1}{2} = \frac{y-2}{1} = \frac{z-1}{3}$ is $(\alpha ,\beta ,\gamma )$ , then $\alpha +\beta +\gamma$ is equal to
a.
9
Correct Answer
b.
12
c.
7
d.
8
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Let $E_{1} : \frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$ be an ellipse. Ellipses $E_{1}$ 's are constructed such that their centres and eccentricities are
same as that of $E_{1}$ , and the length of minor axis of $E_{i}$ is the length of major axis of $E_{i+1}(i\geq 1)$ . If $A_{i}$ is the
area of the ellipse $E_{i}$ , then $\frac{5}{\pi}(\sum ^{\infty }_{i=1} A_{i})$ , is equal to
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Let $A(x,y,z)$ be a point in $xy$ -plane, which is equidistant from three points $(0, 3, 2), (2, 0, 3)$ and ( $0, 0, 1$ ). Let
$B = (1, 4, -1)$ and $C = (2, 0, -2)$ . Then among the statements (S1) : $\triangle ABC$ is an isosceles right angled
triangle, and (S2) : the area of $\triangle ABC$ is $\frac{9\sqrt{2}}{2}$ ,
a.
both are true
b.
only (S2) is true
c.
only (S1) is true
d.
both are false
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If $\alpha = 1 +\sum ^{6}_{r=1}(-3)^{r-1}^{12}C_{2r-1}$ , then the distance of the point $(12, )\sqrt{3}$ from the line $\alpha x- \sqrt{3}y+ 1 = 0$
is _________.
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The sum of all local minimum values of the function
$\{1 -2x, x< -1$
$f(x) = \frac{1}{3}(7 + 2|x|), -1 \leq x\leq 2$
$\{$
$\frac{11}{18}(x-4)(x-5), x> 2$
is
a.
$\frac{157}{72}$
b.
$\frac{131}{72}$
c.
$\frac{171}{72}$
d.
$\frac{167}{72}$
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Let $T_{r}$ be the $r^{th\,}$ term of an A.P. If for some $m, T_{m} = \frac{1}{25}, \,T_{25} = \frac{1}{20}$ , and $20\sum ^{25}_{r=1} \,T_{r} = 13$ , then
$5\,m\sum ^{2\,m}_{r=m} \,T_{r}$ is equal to
a.
98
b.
126
c.
142
d.
112
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Let $\vec{a}= \hat{i}+ \hat{j}+ \hat{k}, \vec{b}= 2\hat{i}+ 2\hat{j}+ \hat{k}$ and $\vec{d}= \vec{a}\times \vec{b}$ . If $\vec{c}$ is a vector such that $\vec{a}\cdot \vec{c}= |\vec{c}|$ , $|\vec{c}-2\vec{a}|^{2} = 8$ and the
angle between $\vec{d}$ and $\vec{c}$ is $\frac{\pi}{4}$ , then $|10 -3\,\vec{b}\cdot \vec{c}| + |\vec{d}\times \vec{c}|^{2}$ is equal to
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Let $ABCD$ be a trapezium whose vertices lie on the parabola $y^{2} = 4x$ . Let the sides $AD$ and $BC$ of the
trapezium be parallel to y -axis. If the diagonal AC is of length $\frac{25}{4}$ and it passes through the point $(1, 0)$ , then
the area of $ABCD$ is
a.
$\frac{75}{4}$
b.
$= \frac{25}{2}$
c.
$\frac{125}{8}$
d.
$\frac{75}{8}$
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Let $⟨a_{n}⟩$ be a sequence such that $a_{0} = 0,a_{1} = \frac{1}{2}$ and $2a_{n+2} = 5a_{n+1}-3a_{n}, n = 0, 1, 2, 3, …$ . Then $\sum ^{100}_{k=1} a_{k}$
is equal to
a.
$3a_{99}-100$
b.
$3a_{100}-100$
c.
$3a_{99}+ 100$
d.
$3a_{100}+ 100$
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Two number $k_{1}$ and $k_{2}$ are randomly chosen from the set of natural numbers. Then, the probability that the
value of $i^{k_{1}} + i^{k_{2}}, (i = )\sqrt{-1}$ is non-zero, equals
a.
$\frac{1}{2}$
b.
$\frac{3}{4}$
c.
$\frac{1}{4}$
d.
$\frac{2}{3}$
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Let $^{n}C_{r-1} = 28,^{n}C_{r} = 56$ and $^{n}C_{r+1} = 70$ . Let $A(4 cost, 4 sint), B(2 sint, -2 cos t)$ and
$C(3r- n,r^{2} - n-1)$ be the vertices of a triangle $ABC$ , where $t$ is a parameter. If $(3x-1)^{2} + (3y)^{2} =\alpha$ , is
the locus of the centroid of triangle ABC , then $\alpha$ equals
a.
6
b.
18
c.
8
d.
20
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Let $O$ be the origin, the point $A$ be $z_{1} = + 2\sqrt{3} 2i$ , the point $B(z_{2})$ be such that $\sqrt{3}|z_{2}| = |z_{1}|$ and
$arg (z_{2}) = arg (z_{1}) + \frac{\pi}{6}$ . Then
a.
area of triangle ABO is $\frac{11}{\sqrt{3}}$
b.
ABO is an obtuse angled isosceles triangle
c.
area of triangle ABO is $\frac{11}{4}$
d.
ABO is a scalene triangle
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Choose the correct nuclear process from the below options [p: proton, n : neutron, $e^{-}$ : electron, $e^{+}$ : positron,
$v:$ neutrino, $v$ : antineutrino]
a.
$n \rightarrow p + e\rightarrow^{\bar{+}} + -v$
b.
$n \rightarrow p + e\rightarrow^{+} +v$
c.
$n \rightarrow p + e\rightarrow^{-} +v$
d.
$n \rightarrow p + e\rightarrow^{-} + -v$
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Two iron solid discs of negligible thickness have radii $R_{1}$ and $R_{2}$ and moment of intertia $I_{1}$ and $I_{2}$ ,
respectively. For $R_{2} = 2R_{1}$ , the ratio of $I_{1}$ and $I_{2}$ would be $1/x$ , where $x =$ ________ -
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A bead of mass ' $m$ ' slides without friction on the wall of a vertical circular hoop of radius ' $R$ ' as shown in
figure. The bead moves under the combined action of gravity and a massless spring ( k ) attached to the bottom
of the hoop. The equilibrium length of the spring is ' $R$ '. If the bead is released from top of the hoop with
(negligible) zero initial speed, velocity of bead, when the length of spring becomes ' R ', would be (spring
constant is ' k ', g is accleration due to gravity)
a.
$\sqrt{3Rg} + \frac{kR^{2}}{\,m}$
b.
$2\sqrt{gR} + \frac{kR^{2}}{\,m}$
c.
$\sqrt{2Rg} + \frac{kR^{2}}{\,m}$
d.
$\sqrt{2Rg} + \frac{4kR^{2}}{\,m}$
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Two capacitors $C_{1}$ and $C_{2}$ are connected in parallel to a battery. Charge-time graph is shown below for the two
capacitors. The energy stored with them are $U_{1}$ and $U_{2}$ , respectively. Which of the given statements is true?
a.
$C_{2} > C_{1}, U_{2} < U_{1}$
b.
$C_{1} > C_{2}, U_{1} > U_{2}$
c.
$C_{1} > C_{2}, U_{1} < U_{2}$
d.
$C_{2} > C_{1}, U_{2} > U_{1}$
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The moment of inertia of a solid disc rotating along its diameter is 2.5 times higher than the moment of inertia
of a ring rotating in similar way. The moment of inertia of a solid sphere which has same radius as the disc and
rotating in similar way, is $n$ times higher than the moment of inertia of the given ring. Here,
$\mathrm{n}=_________ Consider all the bodies have equal masses.
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In the experiment for measurement of viscosity ' $\eta$ ' of given liquid with a ball having radius $R$ , consider
following statements. A. Graph between terminal velocity V and R will be a parabola. B. The terminal
velocities of different diameter balls are constant for a given liquid. C. Measurement of terminal velocity is
dependent on the temperature. D. This experiment can be utilized to assess the density of a given liquid. E. If
balls are dropped with some initial speed, the value of $\eta$ will change. Choose the correct answer from the
options given below:
a.
$A, B$ and E Only
b.
B, D and E Only
c.
A, C and D Only
d.
C, D and E Only
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Due to presence of an em-wave whose electric component is given by $E = 100 sin(\omega t -kx)NC^{-1}$ , a cylinder
of length 200 cm holds certain amount of em-energy inside it. If another cylinder of same length but half
diameter than previous one holds same amount of em-energy, the magnitude of the electric field of the
corresponding em-wave should be modified as
a.
$400 sin(\omega t -kx)NC^{-1}$
b.
$200 sin(\omega t- kx)NC^{-1}$
c.
$50 sin(\omega t -kx)NC^{-1}$
d.
$25 sin(\omega t -kx)NC^{-1}$
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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason $R$ Assertion
A: A sound wave has higher speed in solids than gases. Reason R: Gases have higher value of Bulk modulus
than solids. In the light of the above statements, choose the correct answer from the options given below
a.
Both $A$ and $R$ are true but $R$ is NOT the correct
explanation of $A$
b.
$A$ is true but $R$ is false
c.
$A$ is false but $R$ is true
d.
Both $A$ and $R$ are true and $R$ is the correct
explanation of $A$
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Three infinitely long wires with linear charge density $\lambda$ are placed along the $x- axis,y$ -axis and $z-$ axis
respectively. Which of the following denotes an equipotential surface?
The center of mass of a thin rectangular plate (fig - x ) with sides of length $a$ and $b$ , whose mass per unit area
$(\sigma )$ varies as $\sigma = \frac{\sigma _{0}x}{ab}$ (where $\sigma _{0}$ is a constant), would be
a.
$( \frac{2}{3}a, \frac{\,b}{2} )$
b.
$(\frac{a}{2}, \frac{\,b}{2} )$
c.
$( \frac{1}{3}a, \frac{\,b}{2} )$
d.
$(\frac{2}{3}a, \frac{2}{3}b)$
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A proton of mass ' $m_{p}$ ' has same energy as that of a photon of wavelength ' $\lambda$ '. If the proton is moving at non-
relativistic speed, then ratio of its de Broglie wavelength to the wavelength of photon is.
a.
$\frac{1}{c}\sqrt{\,} \frac{E}{m_{p}}$
b.
$\frac{1}{c}\sqrt{\,} \frac{2E}{m_{p}}$
c.
$\frac{1}{2c}\sqrt{\,} \frac{E}{m_{p}}$
d.
$\frac{1}{c}\sqrt{\,} \frac{E}{2\,m_{p}}$
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Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$
Assertion A: In a central force field, the work done is independent of the path chosen. Reason R: Every force
encountered in mechanics does not have an associated potential energy. In the light of the above statements,
choose the most appropriate answer from the options given below
a.
$A$ is false but $R$ is true
b.
Both $A$ and $R$ are true but $R$ is NOT the correct
explanation of $A$
c.
$A$ is true but $R$ is false
d.
Both $A$ and $R$ are true and $R$ is the correct
explanation of $A$
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A thin prism $P_{1}$ with angle $4^{\circ }$ made of glass having refractive index 1.54 , is combined with another thin prism
$P_{2}$ made of glass having refractive index 1.72 to get dispersion without deviation. The angle of the prism $P_{2}$ in
degrees is
a.
3
b.
16/3
c.
4
d.
1.5
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A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm , respectively. Using a specially
designed screw gauge which has pitch of 0.75 mm and 15 divisions in the circular scale, you are asked to find
the area of the sheet. In this measurement, the maximum fractional error will be $\frac{x}{100}$ where $x$ is _________.
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A Carnot engine $(E)$ is working between two temperatures 473 K and 273 K . In a new system two engines -
engine $E_{1}$ works between 473 K to 373 K and engine $E_{2}$ works between 373 K to 273 K . If $\eta _{12},\eta _{1}$ and $\eta _{2}$ are
the efficiencies of the engines $E,E_{1}$ and $E_{2}$ , respectively, then
a.
$\eta _{12} =\eta _{1}\eta _{2}$
b.
$\eta _{12} \geq \eta _{1}+\eta _{2}$
c.
$\eta _{12} =\eta _{1}+\eta _{2}$
d.
$\eta _{12} <\eta _{1}+\eta _{2}$
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Consider a long thin conducting wire carrying a uniform current I. A particle having mass " M " and charge " $q$
" is released at a distance " $a$ " from the wire with a speed $v_{0}$ along the direction of current in the wire. The
particle gets attracted to the wire due to magnetic force. The particle turns round when it is at distance $x$ from
the wire. The value of $x$ is [ $\mu _{0}$ is vacuum permeability]
a.
$ae^{-}\frac{4\pi mvo}{q\mu oI}$
b.
$a[1 - \frac{mv_{o}}{2q\mu _{o}I} ]$
c.
$a[1 - \frac{mv}{q\mu _{o}I} ]$
d.
$\frac{a}{2}$
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Consider following statements: A. Surface tension arises due to extra energy of the molecules at the interior as
compared to the molecules at the surface, of a liquid. B. As the temperature of liquid rises, the coefficient of
viscosity increases. C. As the temperature of gas increases, the coefficient of viscosity increases D. The onset
of turbulence is determined by Reynold's number. E. In a steady flow two stream lines never intersect. Choose
the correct answer from the options given below:
a.
C, D, E Only
b.
A, D, E Only
c.
B, C, D Only
d.
A, B, C Only
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A double slit interference experiment performed with a light of wavelength 600 nm forms an interference
fringe pattern on a screen with 10 th bright fringe having its centre at a distance of 10 mm from the central
maximum. Distance of the centre of the same 10th bright fringe from the central maximum when the source of
light is replaced by another source of wavelength 660 nm would be _________ mm .
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A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into $a$ square. The ratio
of resistance between the two end points of an edge of the triangle to that of the square is Options
a.
8/9
b.
$27/32$
c.
$32/27$
d.
$9/8$
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A particle of mass ' $m$ ' and charge ' $q$ ' is fastened to one end ' $A$ ' of a massless string having equilibrium
length $l$ , whose other end is fixed at point ' $O$ '. The whole system is placed on a frictionless horizontal plane
and is initially at rest. If uniform electric field is switched on along the direction as shown in figure, then the
speed of the particle when it crosses the x -axis is
a.
$\sqrt{\frac{qEl}{2\,m}}$
b.
$\sqrt{\frac{qEl}{\,m}}$
c.
$\sqrt{\frac{qEl}{4\,m}}$
d.
$\sqrt{\frac{2qEl}{m}}$
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In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured
quantity has dimension of $[M^{a}L^{b}T^{c}]$ . If $b= -3$ , the value of $c$ is ________
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A hemispherical vessel is completely filled with a liquid of refractive index $\mu$ . A small coin is kept at the
lowest point $(O)$ of the vessel as shown in figure. The minimum value of the refractive index of the liquid so
that a person can see the coin from point E (at the level of the vessel) is
a.
$\sqrt{3}$
b.
$\frac{\sqrt{3}}{2}$
c.
$\frac{3}{2}$
d.
$\sqrt{2}$
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The formation enthalpies, $\Delta H_{f}\ominus$ for $H_{(g)}$ and $O_{(g)}$ are 220.0 and $250.0\,kJ\,mol^{-1}$ , respectively, at 298.15 K ,
and $\Delta Hf ^{\ominus }$ for $H_{2}O_{(g)}$ is $-242.0\,kJ\,mol^{-1}$ at the same temperature. The average bond enthalpy of the $O -H$
bond in water at 298.15 K is __________ $kJmol^{-1}$ (nearest integer).
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What is the freezing point depression constant of a solvent, 50 g of which contain 1 g non volatile solute
(molar mass $256\,g\,mol^{-1}$ ) and the decrease in freezing point is 0.40 K ?
a.
$3.72\,K\,kg\,mol^{-1}$
b.
$1.86\,K\,kg\,mol^{-1}$
c.
$4.43\,K\,kg\,mol^{-1}$
d.
$5.12\,K\,kg\,mol^{-1}$
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Consider ' $n$ ' is the number of lone pair of electrons present in the equatorial position of the most stable
structure of $ClF_{3}$ . The ions from the following with ' $n$ ' number of unpaired electrons are A. $V^{3+}$ B. $Ti^{3+}$ C.
$Cu^{2+}$ D. $Ni^{2+}$ E. $Ti^{2+}$ Choose the correct answer from the options given below:
a.
A and C Only
b.
A, D and E Only
c.
B and D Only
d.
B and C Only
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Both acetaldehyde and acetone (individually) undergo which of the following reactions? A. Iodoform Reaction
B. Cannizaro Reaction C. Aldol Condensation D. Tollen's Test E. Clemmensen Reduction Choose the correct
answer from the options given below:
a.
A, B and D Only
b.
$C$ and E Only
c.
A, C and E Only
d.
B, C and D Only
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The metal ion whose electronic configuration is not affected by the nature of the ligand and which gives a
violet colour in non-luminous flame under hot condition in borax bead test is
a.
$Mn^{2+}$
b.
$Cr^{3+}$
c.
$Ni^{2+}$
d.
$Ti^{3+}$
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Given below is the plot of the molar conductivity vs $\sqrt{\,concentration\,}$ for KCl in aqueous solution.
If, for the higher concentration of KCl solution, the resistance of the conductivity cell is $100\Omega$ , then the
resistance of the same cell with the dilute solution is ' $x$ ' $\Omega$ The value of $x$ is __________ (Nearest integer)
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Consider the following elements $In, Tl, Al, Pb, Sn$ and Ge . The most stable oxidation states of elements with
highest and lowest first ionisation enthalpies, respectively, are
a.
$+4$ and +1
b.
+1 and +4
c.
+4 and +3
d.
+2 and +3
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Quantitative analysis of an organic compound (X) shows following \% composition. C : $14.5%$ Cl : 64.46\%
H: 1.8 \% (Empirical formula mass of the compound $(X)$ is __________ $\times 10^{-1}$ (Given molar mass in $gmol^{-1}$
of $C : 12, H : 1, O : 16, Cl : 35.5$ )
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Ice and water are placed in a closed container at a pressure of 1 atm and temperature 273.15 K . If pressure of
the system is increased 2 times, keeping temperature constant, then identify correct observation from following
a.
Volume of system increases .
b.
The solid phase (ice) disappears completely.
c.
Liquid phase disappears completely.
d.
The amount of ice decreases.
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The molarity of a $70%$ (mass $/$ mass) aqueous solution of a monobasic acid $(X)$ is __________ $\times 10^{-1}$
M(Nearest integer) [Given: Density of aqueous solution of (X) is $1.25\,g\,mL^{-1}$ Molar mass of the acid is
$70\,g\,mol^{-1}$ ]
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Consider the following sequence of reactions:
11.25 mg of chlorobenzene will produce __________ $\times 10^{-1}mg$ of product B . (Consider the reactions result
in complete conversion.) [Given molar mass of $C, H, O, N$ and Cl as $12, 1, 16, 14$ and $35.5\,g\,mol^{-1}$
respectively]
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A molecule (" P ") on treatment with acid undergoes rearrangement and gives ("Q"). ("Q") on ozonolysis
followed by reflux under alkaline condition gives (" R "). The structure of (" R ") is given below.
The structure of (" $P''$ ) is
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Given below are two statements:
involving lone pair of electrons on nitrogen. In the light of the above statements, choose the most appropriate
answer from the options given below
a.
Statement I is incorrect but Statement II is
correct
b.
Statement I is correct but Statement II is
incorrect
c.
Both Statement I and Statement II are correct
d.
Both Statement I and Statement II are incorrect
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Given below are two statements: Statement I: In the oxalic acid vs $KMnO_{4}$ (in the presence of dil $H_{2}SO_{4}$ )
titration the solution needs to be heated initially to $60^{\circ }C$ , but no heating is required in Ferrous ammonium
sulphate (FAS) vs $KMnO_{4}$ titration (in the presence of dil $H_{2}SO_{4}$ ) Statement II: In oxalic acid vs $KMnO_{4}$
titration, the initial formation of $MnSO_{4}$ takes place at high temperature, which then acts as catalyst for further
reaction. In the case of FAS vs $KMnO_{4}$ , heating oxidizes $Fe^{2+}$ into $Fe^{3+}$ by oxygen of air and error may be
introduced in the experiment. In the light of the above statements, choose the correct answer from the options
given below
a.
Both Statement I and Statement II are false
b.
Both Statement I and Statement II are true
c.
Statement I is false but Statement II is true
d.
Statement I is true but Statement II is false
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Which of the following oxidation reactions are carried out by both $K_{2}Cr_{2}O_{7}$ and $KMnO_{4}$ in acidic medium?
A. $Γ^{-} \rightarrow I\rightarrow_{2}$ B. $S^{2-} \rightarrow \rightarrow S$ C. $Fe^{2+} \rightarrow Fe\rightarrow^{3+}$ D. $Γ^{-} \rightarrow IO\rightarrow_{3}^{-}$ E. $S_{2}O_{3}^{2-} \rightarrow SO\rightarrow_{4}^{2-}$ Choose the correct answer
from the options given below:
a.
C, D and E Only
b.
B, C and D Only
c.
A, D and E Only
d.
A, B and C Only
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In a multielectron atom, which of the following orbitals described by three quantum numbers will have same
energy in absence of electric and magnetic fields? A. $n = 1, l = 0, \,m_{1} = 0$ B. $n = 2, l = 0, \,m_{1} = 0$ C.
$n = 2, l = 1, \,m_{1} = 1$ D. $n = 3, l = 2, \,m_{1} = 1$ E. $n = 3, l = 2, \,m_{1} = 0$ Choose the correct answer from the
options given below:
a.
B and C Only
b.
A and B Only
c.
C and D Only
d.
D and E Only
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For a given reaction $R \rightarrow P, t\rightarrow_{1/2}$ is related to $[A]_{0}$ as given in table. Given: $log 2 = 0.30$ Which of the
following is true? A. The order of the reaction is $1/2$ . B. If $[A]_{0}$ is 1 M , then $t_{1/2}$ is $200\sqrt{10}\,min$ C. The order
of the reaction changes to 1 if the concentration of reactant changes from 0.100 M to 0.500 M . D. $t_{1/2}$ is 800
min for $[A]_{0} = 1.6M$ Choose the correct answer from the options given below: Options
a.
A and C Only
b.
A, B and D Only
c.
C and D Only
d.
A and B Only
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Given below are two statements: Statement I : D-glucose pentaacetate reacts with 2, 4-dinitrophenylhydrazine
Statement II : Starch, on heating with concentrated sulfuric acid at $100^{\circ }C$ and 2-3 atmosphere pressure
produces glucose. In the light of the above statements, choose the correct answer from the options given below
a.
Statement I is false but Statement II is true
b.
Both Statement I and Statement II are false
c.
Both Statement I and Statement II are true
d.
Statement I is true but Statement II is false
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