AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Biology
How Iymph acts as middle man in the
body?
A. It transports food materials, oxygen, hormones etc. to the body cells and brings carbon dioxide and other metabolic wastes from the body cells to blood and then finally pours the same into venous system.
B. It transports metabolic wastes, carbon dioxide, hormones etc. to the body cells and brings oxygen and other food materials from the body cells to blood and then finally pours the same into venous system.
C. It transports metabolic wastes, carbon dioxide, hormones etc. to the body cells and brings oxygen and other food materials from the body cells to blood and then finally pours the same into arterial and capillary system.
D. All of the above
Subject: Maths
Let \( \boldsymbol{I}= \)
\( \int_{-a}^{a}\left(p \tan ^{3} x+q \cos ^{2} x+r \sin x\right) \)
dx, where \( p, q, r \) are arbitrary
constants.
The numerical value of \( I \) depends on?
A \( . p, q, r, a \)
B. \( q, r, a \)
\( c \cdot q, a \)
\( \mathbf{D} \cdot p, r, a \)
Subject: Physics
A block is kept on a horizontal table.The table is undergoing simple harmonic motion of frequency \( 3 H z \) in a
horizontal plane.The coefficient of static friction between block and the table
surface is \( 0.72 . \) Find the maximum
amplitude (in \( \mathrm{cm} \) ) of the table at which the block does not slip on the surface. ( Take \( \left.g=10 m / s^{2} \text { and } \pi^{2}=10\right) \)
Subject: Physics
A ball is dropped from a height of \( 1 \mathrm{m} \). if coefficient of restitution between the
surface and the ball is \( 0.6, \) the ball
rebounds to a height of
\( A \cdot 0.6 m \)
B. 0.4 \( m \)
\( c \cdot 1 m \)
D. 0.31 \( m \)
Subject: Physics
A metal wire of length 1 m and crosssection area \( 2 m m^{2} \) and Young's
modulus of elasticity \( \boldsymbol{Y}=\mathbf{4} \times \)
\( 10^{11} N / m^{2} \) is stretched by \( 2 m m . \) Then
A. the restoring force developed in the wire is 1600 N
B. the energy density in the wire is \( 4 \times 10^{5} \mathrm{J} / \mathrm{m}^{3} \)
c. the restoring force developed in the wire is 400 N
D. the total elastic energy stored in the wire is \( 1.6 ~ J \)
Subject: Chemistry
The vapour pressure of ethanol and methanol are 44.5 mm \( H g \) and 88.7 mm \( H g \) respectively. An ideal
solution is formed at the same
temperature by mixing \( 60 g \) of ethanol with \( 40 g \) of methanol. The total vapour pressure of the solution and the mole
fraction of methanol in the vapour are respectively:
A. \( 43.46 \mathrm{mm} \) and 0.51
в. \( 66.13 \mathrm{mm} \) and 0.657
c. \( 66.15 \mathrm{mm} \) and 0.791
D. 70.59 \( m m \) and 0.657
Subject: Chemistry
Select incorrect statement about \( N_{2} O_{4} \)
\( \therefore \)
A. It self ionises as \( N O^{+}, N O_{3}^{-} \)
B. Substance containing \( N O^{+} \) is said to be acid and that
containing \( N O_{3}^{-} \) is said to be base
\( \mathrm{C} \cdot \mathrm{N}_{2} \mathrm{O}_{4} \) is paramagnetic
D. \( N O_{2} \) dimerises to \( N_{2} O_{4} \) with disappearance in paramagnetism
Subject: Physics
A calorimeter contains \( 400 g \) of water at
a temperature of \( 5^{\circ} \mathrm{C} \). Then, \( 200 g \) of
water at a temperature of \( +10^{\circ} \mathrm{C} \) and
\( 400 g \) of ice at a temperature of \( -60^{\circ} \mathrm{C} \) are added. What is the final
temperature(in \( ^{o} C \) ) of the contents of the calorimeter? Specific heat capacity of water \( =\mathbf{1 0 0 0} \) cal / kg/K. Specific
latent heat of fusion of ice \( =\mathbf{8 0} \times \)
1000 cal / kg. Relative specific heat of
ice \( =\mathbf{0 . 5} \)
Subject: Maths
A particle starts moving from rest from a fixed point in a fixed direction. The
distance \( s \) from the fixed point at a time
\( t \) is given by \( s=t^{2}+a t-b+17, \) where
\( a, b \) are real numbers. If the particle
comes to rest after 5 sec at a distance
of \( s=25 \) units from the fixed point
then values of \( a \) and \( b \) are respectively.
A .10,-33
B. -10,-33
c. -8,33
D. -10,33
Subject: Physics
A train A which is 120 \( \mathrm{m} \) long is running with velocity \( 20 \mathrm{m} / \mathrm{s} \) while train \( \mathrm{B} \) which
is \( 130 \mathrm{m} \) long is running in opposite direction with velocity \( 30 \mathrm{m} / \mathrm{s} \). What is the time taken by train \( \mathrm{B} \) to cross the
\( \operatorname{train} A ? \)
A. 5 s
B. 25 s
\( c \cdot 10 s \)
D. 100 s
Subject: Physics
A tiny bar magnet is kept close to a long current carrying straight wire placed along the z axis. When the center of the magnet is at \( (a, 0.0) \) and it is oriented along the z axis, it experiences
A. no net force but a net torque.
B. neither net force nor net torque
c. both a net force and a net torque.
D. a net force but no net torque
Subject: Physics
A mass of 1 kg carrying a charge of \( 2 C \)
is accelerated through a potential of \( 1 \mathrm{V} \) The velocity acquired by it is?
A \( \cdot \sqrt{2} m s^{-1} \)
B . \( 2 m s^{-1} \)
c. \( \frac{1}{\sqrt{2}} m s^{-1} \)
D. \( \frac{1}{2} m s^{-1} \)
Subject: Physics
Assertion
Cyclotron is a device which is used to
accelerate the positive ions.
Reason
Cyclotron frequency depends upon the velocity
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Maths
Find :
\( \cos \frac{\pi}{65} \cos \frac{2 \pi}{65} \cos \frac{4 \pi}{65} \cos \frac{8 \pi}{65} \cos \frac{16 \pi}{65} \)
A \( \cdot \frac{1}{64} \)
в. \( \frac{1}{32} \)
\( c \cdot \frac{1}{16} \)
D. None of these
Subject: Chemistry
A sample of gas occupies \( 1.50 \mathrm{L} \) at \( 25^{\circ} \)
C. If the temperature is raised to \( 60^{\circ} \mathrm{C} \) what is the new volume of the gas if pressure remains constant?
A . 1.2
B . 1.68
\( c .2 .9 L \)
D. 0.86
Subject: Chemistry
Assertion
\( C O_{2} \) molecule is linear in shape.
Reason
Any atom bonded to two other atoms
should be linear.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Maths
The adjacent sides of a parallelogram \( \operatorname{are} 2 i+4 \bar{j}-5 \bar{k} \) and \( i+2 \bar{j}+3 \bar{k} \) then
the unitvector parallel to a diagonal is
A \( \cdot \frac{-i+2 j+8 k}{\sqrt{69}} \)
B. \( \frac{3 i+6 \bar{j}-2 \bar{k}}{7} \)
C. \( \frac{-i+2 \bar{j}-8 \bar{k}}{\sqrt{69}} \)
D. \( \frac{-i-2 \bar{j}+8 \bar{k}}{\sqrt{69}} \)
Subject: Physics
An angular conductor is moving with
velocity \( v \) along its angular bisector in a
perpendicular magnetic field \( (B) \) as
shown in the figure. The induced potential difference between its free
ends will be
\( A \)
\[
2 B v l \sin \frac{\theta}{2} \frac{\theta}{2}
\]
B. \( 2 B v l \)
c. \( 2 B v l \sin \theta \)
D. zero
Subject: Maths
Find the area of the triangle whose
vertices are:
\( (\mathrm{i})(2,3),(-1,0),(2,-4) \)
\( (i i)(-5,-1),(3,-5),(5,2) \)
This question has multiple correct options
A. (i) 32 sq. units
B. (ii) 32 sq. units
c. (ii) 10.5 sq. units
D. (i) 10.5 sq. units
Subject: Physics
Assertion
A person standing on the land appears taller than his actual height to a fish inside a pond.
Reason
Light bends away from the normal as it
enters air from water.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Maths
For the curve \( y=3 \sin \theta \cos \theta, x= \)
\( e^{\theta} \sin \theta, 0 \leq \theta \leq \pi ; \) the tangent is
parallel to \( x \) -axis when \( \theta \) is
\( \mathbf{A} \cdot \mathbf{0} \)
в. \( \frac{\pi}{2} \)
c.
D.
Subject: Physics
\( \boldsymbol{y}_{1}=\mathbf{8} \boldsymbol{8} \sin (\boldsymbol{\omega} \boldsymbol{t}-\boldsymbol{k} \boldsymbol{x}) \) and \( \boldsymbol{y}_{2}= \)
\( 6 \sin (\omega t+k x) \) are two waves travelling
in a string of area of cross-section \( s \) and
density \( \rho . \) These two waves are
superimposed to produce a standing
wave. Find the total amount of energy
crossing through a node per second.
A \( \cdot \frac{2 \rho \omega^{3} s}{k} \)
B. \( \frac{3 \rho \omega^{3} s}{k} \)
c. \( \frac{5 \rho \omega^{3} s}{k} \)
D. \( \frac{6 \rho \omega^{3} s}{k} \)
Subject: Maths
If \( f(x)=\frac{a \cos x-\cos b x}{x^{2}}, x \neq 0 \) and
\( \boldsymbol{f}(\mathbf{0})=\mathbf{4} \) continuous at \( \boldsymbol{x}=\mathbf{0}, \) then the
ordered pair \( (a, b) \) is
\( A \cdot(\neq 1,3) \)
в. \( (1, \neq 3) \)
c. (-1,-3)
D. (1,±3)
Subject: Physics
Calculate the greatest and least pressure exerted by a metal block of \( \operatorname{size} 20 c m \times 8 c m \times 5 c m \) and having
mass 5kg. Take \( \boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2} \)
A. \( 12500 P a ; 3125 P a \)
в. \( 11500 P a ; 3125 P a \)
c. \( 13500 P a ; 5125 P a \)
D. \( 12500 P a ; 5125 P a \)
Subject: Maths
The value of \( \sec ^{2} A \tan ^{2} B- \)
\( \tan ^{2} A \sec ^{2} B \) is
\( \mathbf{A} \cdot \tan ^{2} B-\tan ^{2} A \)
B \( \cdot \sec ^{2} B+\sec ^{2} A \)
c. \( \tan ^{2} B-\sec ^{2} A \)
\( \mathbf{D} \cdot \sec ^{2} B-\tan ^{2} A \)
Subject: Chemistry
Which of the following sets of ions represents a collection of isoelectronic
species?
A \( \cdot N^{3}, O^{3}, F^{-}, S^{2-} \)
B . \( L i^{+}, N a^{+}, M g^{2+}, C a^{2+} \)
C \( \cdot K^{+}, C l^{-}, C a^{2+}, S c^{3+} \)
D. \( B a^{2+}, S r^{2+}, K^{+}, C a^{2+} \)
Subject: Maths
What is \( \int_{0}^{1} \frac{\tan ^{-1} x}{1+x^{2}} d x \) equal to \( ? \)
A \( \cdot \frac{\pi}{4} \)
в.
c. \( \frac{\pi^{2}}{8} \)
D. \( \frac{\pi^{2}}{32} \)
Subject: Physics
A double convex thin lens made of glass
(refractive index, \( =1.5 \) ) has both radii of
curvature of magnitude \( 20 \mathrm{cm} \) Incident light rays parallel to the axis of the lens will converge at a distance \( d \) in
\( \mathrm{cm}, \) such that :
\( \mathbf{A} \cdot d=10 \)
В. \( d=20 / 3 \)
c. \( d=40 \)
D. \( d=20 \)
Subject: Chemistry
The standard Gibbs free energy change
\( \left(\Delta G^{o}\right) \) at \( 25^{\circ} C \) for the dissociation of
\( N_{2} O_{4}(g) \) to \( N O_{2}(g) \) is (given,
equilibrium constant \( =\mathbf{0 . 1 5}, \boldsymbol{R}= \)
\( 8.314 J K / m o l) \)
\( \begin{array}{ll}\text { A. } 1.1 & k J\end{array} \)
B. \( 4.7 k J \)
c. \( 8.1 k J \)
D. 38.2 k \( J \)
Subject: Physics
The vessel shown in the figure has two
sections of area of cross section \( \boldsymbol{A}_{1} \) and
\( A_{2} \cdot A \) liquid of density \( \rho \) fills both the
section upto a height \( h \) in each.
Consider atmospheric pressure \( P_{0} \) also.
Find
(a) the pressure at the base of vessel
(b) the force exerted by the liquid on the
base of the vessel
(c) the downward force exerted by the
walls of the vessel at the level \( B \)
Subject: Physics
A gas expands from volume \( V_{0} \) to \( 2 V_{0} \)
under three different processes. Process
is isobaric, 2 is isothermal and 3 is
adiabatic. Let \( \Delta U_{1}, \Delta U_{2} \) and \( \Delta U_{3} \) be
the change in internal energy of the gas
in these three processes. Then:
A \( \cdot \Delta U_{1}>\Delta U_{2}>\Delta U_{3} \)
B. \( \Delta U_{1}<\Delta U_{2}<\Delta U_{3} \)
\( \mathbf{c} \cdot \Delta U_{2}<\Delta U_{1}<\Delta U_{3} \)
D. \( \Delta U_{2}<\Delta U_{3}<\Delta U_{1} \)
Subject: Biology
Match and find the correct option.
A. a-ii-s, b-iii-p, c-i-q, d-iv-r
\( B \)
\( a-i i-p \) \( b-i-r, c-i v-q, d-i i i-s \)
C \( \cdot a-i-s, b-i i \) i-q, c-iv-p, d-ii-r
D. a-iv-r, b-ii-s, c-iii-p, d-i-q
Subject: Physics
order to calculate the binding energy
per nucleon of an element \( _{z} X^{A}, \) given
the actual mass of \( _{z} X^{A}(\mathrm{M}), \) mass of
proton \( \left(\boldsymbol{m}_{\boldsymbol{p}}\right) \) and mass of neutron \( \left(\boldsymbol{m}_{\boldsymbol{n}}\right) \)
(All the values are given in atomic mass units)
(a) Note the actual mass of the nucleus
(M), number of nucleons in \( _{z} \boldsymbol{X}^{\boldsymbol{A}}, \boldsymbol{m}_{\boldsymbol{p}} \)
and \( \boldsymbol{m}_{\boldsymbol{n}} \)
(b) Calculate the mass defect of the
given nucleus.
(c) Find the number of protons and number of neutrons in the nucleus.
(d) Determine the sum of the individual
masses of constituents in \( _{z} \boldsymbol{X}^{\boldsymbol{A}} \)
(e) Calculate the binding energy (B. E) of the nucleus.
(f) Divide it with the number of
nucleons present in the element to get
binding energy per nucleon.
A. a ed cb f
B. a c d bef
\( c \cdot a c b d e f \)
D. a d c be f
Subject: Chemistry
A solution of \( K M n O_{4} \) containing 3 g/L
is titrated with a solution of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \)
containing 2 g/L. The volume (in ml) of \( \boldsymbol{K} \boldsymbol{M n O}_{4} \) required
to react with \( 20 \mathrm{mL} H_{2} O_{2} \) solution is:
(as nearest integer)
A . 28
B. 17
c. 20
D. 25
Subject: Chemistry
topp
ом ком
Q туре уочr question
\( \mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{O}-\mathrm{CH}_{3} \)
\( \mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}-\mathrm{O}-\mathrm{CH}_{3} \)
\( \mathrm{CH}_{3} \)
\( \mathrm{CH}_{3} \)
\( \mathrm{CH}_{3}-\mathrm{C}-\mathrm{O}-\mathrm{CH}_{3} \)
\( \mathrm{CH}_{3} \)
D.
\( \mathrm{CH}_{3}-\mathrm{CH}-\mathrm{CH}_{2}-\mathrm{O}-\mathrm{CH}_{3} \)
\( \mathrm{CH}_{3} \)
Subject: Chemistry
Take small amounts of salt and add it to
large amounts of water. \( X \) is formed.
The substance present in small amount
is called \( Y \) whereas the substance
present in large amounts is called \( Z \)
and the salt solution formed is called \( A \)
The solution in which more of the solute
can be dissolved at a given temperature
is called \( B \) solution. The solution which
cannot be dissolved any more of the solute at a given temperature is \( C \) solution.
What is \( B \) ?
A. Salt solution
B. Unsaturated
c. Saturated
D. Super saturated solution
Subject: Chemistry
\( \boldsymbol{K}_{\boldsymbol{a}_{1}}, \boldsymbol{K}_{\boldsymbol{a}_{2}}, \boldsymbol{K}_{\boldsymbol{a}_{3}} \) values for \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \) are
\( 10^{-3}, 10^{-8}, 10^{-12} \) respectively. If
\( \boldsymbol{K}_{\boldsymbol{w}}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)=\mathbf{1 0}^{-14}, \) then
(i) What is dissociation constant of \( H P O_{4}^{2-} ? \)
(ii) What is \( K_{b} \) of \( H P O_{4}^{2-} \)
(iii) What is \( K_{b} \) of \( H_{2} P O_{4}^{2-} \) ?
(iv) What order of \( \boldsymbol{K}_{\boldsymbol{b}} \) of
\( \boldsymbol{P O}_{4}^{3-}\left(\boldsymbol{K}_{b_{3}}\right), \boldsymbol{H} \boldsymbol{P} \boldsymbol{O}_{4}^{2-}\left(\boldsymbol{K}_{b_{2}}\right) \) and
\( \boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}^{-}\left(\boldsymbol{K}_{b_{1}}\right) ? \)
Subject: Maths
If \( R \) is a relation from a finite \( \operatorname{set} A \)
having \( m \) elements to a finite set \( B \)
having \( n \) elements, then the number of relations from \( A \) to \( B \) is:
\( A \cdot 2^{m n} \)
B . \( 2^{m n}-1 \)
\( c \cdot 2 m n \)
D. \( m^{n} \)
Subject: Maths
In given figure, \( P \) and \( Q \) are points on
the sides \( A B \) and \( A C \) respectively of
\( \triangle A B C \) such that \( A P=3.5 \mathrm{cm}, P B= \)
\( \mathbf{7} \boldsymbol{c m}, \boldsymbol{A} \boldsymbol{Q}=\mathbf{3} \boldsymbol{c m} \) and \( \boldsymbol{Q} \boldsymbol{C}=\boldsymbol{6} \boldsymbol{c m} \)
\( \boldsymbol{P Q}=\mathbf{4 . 5} \boldsymbol{c m}, \) find \( \boldsymbol{B C} \)
Subject: Chemistry
Assertion
\( F e^{3+} \) can be used for coagulation of
\( A s_{2} S_{3} \) sol.
Reason
\( F e^{3+} \) reacts with \( A s_{2} S_{3} \) to give \( F e_{2} S_{3} \)
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Chemistry
Which of the following metals on reacting with sodium hydroxide solution produce hydrogen gas?
a. \( \boldsymbol{C u} \)
b. \( \boldsymbol{A l} \)
c. \( \boldsymbol{F} \boldsymbol{e} \)
d. \( Z n \)
A. b and c
B. b and d
\( c . \) a and \( d \)
D. bonly
Subject: Chemistry
Which of the following represents the IUPAC names of the compounds 0 dinitrobenzene, m-dinitrobenzene, and
p-dinitrobenzene respectively.
A. 1,2 -dinitrobenzene, 1,3 -dinitrobenzene and \( 1,4- \) dinitrobenzene
B. 1,2-dinitrobenzene, 1,4-dinitrobenzene and 1,3dinitrobenzene
c. 1.3 -dinitrobenzene, 1,2 -dinitrobenzene, and \( 1,4- \) dinitrobenzene
D. 1.3-dinitrobenzene, 1,4-dinitrobenzene and 1,2dinitrobenzene
Subject: Chemistry
In the given reaction the underlined substance is:
\( \mathbf{6} \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{O} \boldsymbol{H}+\boldsymbol{A} \boldsymbol{l}_{2}(\boldsymbol{O} \boldsymbol{H})_{3} \rightarrow \boldsymbol{2} \boldsymbol{A} \boldsymbol{l}(\boldsymbol{O} \boldsymbol{H})_{3} \)
A. aluminium sulphate
B. aluminium hydroxide
c. ammonium sulphate
D. ammonia
Subject: Maths
The value of \( \sin \left(2 \tan ^{-1}(1 / 3)\right)+ \)
\( \cos \left(\tan ^{-1} 2 \sqrt{2}\right) \) is
\( A \cdot 12 / 13 \)
B. \( 13 / 14 \)
c. \( 14 / 15 \)
D. none of these
Subject: Biology
Assertion
Blood coagulates in the injured blood
vessels.
Reason
Uninjured blood vessels release an
anticoagulant heparin.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
Two point charges \( \boldsymbol{q}_{1}=-\boldsymbol{4} \boldsymbol{\mu} \boldsymbol{C} \) and
\( q_{2}=8 \mu C \) are lying on the \( y \) -axis. They
are equidistant from the point \( \boldsymbol{P} \), which
lies on the \( x \) -axis. A small object of
charge \( \boldsymbol{q}_{0}=8 \mu C \) and mass \( \boldsymbol{m}=12 \boldsymbol{g} \) is
placed at \( P . \) When it is released, what is
its acceleration in \( m s^{-2} ? \)
(Neglect the effect of gravity)
B. \( 9 \hat{i}+3 \sqrt{3} \hat{j} \)
c. \( 3 \hat{i}+3 \sqrt{3} \hat{j} \)
D. \( 3 \sqrt{3 i}+3 \hat{j} \)
Subject: Chemistry
\( E^{o} \) of an electrode half reaction is
related to \( \Delta G^{o} \) by the equation, \( E^{o}= \)
\( -\Delta G^{o} / n F . \) If the amount of \( A g^{+} \) in the
half reaction \( \boldsymbol{A} \boldsymbol{g}^{+}+\boldsymbol{e}^{-} \rightarrow \boldsymbol{A} \boldsymbol{g} \) is tripled
then:
A . n is tripled
B. \( \Delta G^{o} \) increases to three times
c. \( E^{o} \) reduces to one third
D. All the above
Subject: Maths
Assertion
If \( \boldsymbol{x}_{\boldsymbol{i}}=(2 \boldsymbol{i}-\mathbf{1}) ; \boldsymbol{i}=\mathbf{1}, \boldsymbol{2}, \boldsymbol{3} \ldots . \) Then, the
sum of the deviations of \( \boldsymbol{x}_{1}, \boldsymbol{x}_{2}, \dots \dots \boldsymbol{x}_{\boldsymbol{n}} \)
from \( \boldsymbol{x}=\boldsymbol{n} \) is zero
Reason
The algebraic sum of the deviations of a
set of observations about their mean is
zero.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Biology
Match the columns and choose the
correct option.
\( \begin{array}{lllll} & \text { Column-I } & & \text { Column-II } & \\ \text { A. } & \text { Adrenaline } & \text { 1. } & \begin{array}{l}\text { Anger, fear, } \\ \text { danger }\end{array} \\ \text { B. } & \text { Oestrogen } & \text { 2. } & \begin{array}{l}\text { partnerting } \\ \text { through sense of } \\ \text { smell }\end{array} \\ \text { D. } & \text { Pheromones } & \text { 4. } & \text { Glucose }\end{array} \)
\( A \cdot A-3, B-1, C-4, D-2 \)
B. A-1,B-3,C-2,D-4
C. \( A-1, B-3, C-4, D-2 \)
D. \( A-3 . B-1 . C-2 . D- \)
Subject: Physics
The angle of the dip at a place is \( 40.6^{\circ} \) and
the vertical component of the earths
magnetic field \( B_{V}=6 \times 10^{-5} T . \) The total
intensity of the earth's magnetic field at this place is:
\( \mathbf{A} \cdot 7 \times 10^{-5} \mathbf{T} \)
В. \( 6 \times 10^{-5} \mathrm{T} \)
c. \( 5 \times 10^{-5} \mathrm{T} \)
D. \( 9.2 \times 10^{-5} \mathrm{T} \)
Subject: Chemistry
One gas bleaches the coloured matter by reduction temporary while the other one by oxidation permanently. The
gases are respectively:
A. \( S O_{2} \) and \( C l_{2} \)
в. \( O_{3} \) and \( C l_{2} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{S} \) and \( \mathrm{CO}_{2} \)
D. \( C l_{2} \) and \( C O_{2} \)
Subject: Chemistry
Write the IUPAC name of the following
amine.
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H}-\boldsymbol{N H}_{2}-\boldsymbol{C}=\mathbf{0}- \)
\( \boldsymbol{O} \boldsymbol{H} \)
Subject: Chemistry
Among \( \mathbf{A} l_{2} \mathbf{O}_{3}, \mathbf{S i O}_{2}, \mathbf{P}_{2} \mathbf{O}_{3} \) and \( \mathbf{S O}_{2} \) the
correct order of acid strength is:
\( A \cdot S O_{2}<P_{2} O_{3}<S_{i} O_{2}<A l_{2} O_{3} \)
B. \( \operatorname{si} 0_{2}<\operatorname{SO}_{2}<\operatorname{Al}_{2} \mathrm{O}_{3}<\mathrm{P}_{2} \mathrm{O} \)
c. \( \mathrm{Al}_{2} \mathrm{O}_{3}<\mathrm{Si} \mathrm{O}_{2}<\mathrm{SO}_{2}<\mathrm{P}_{2} \mathrm{O}_{3} \)
D. \( \mathrm{Al}_{2} \mathrm{O}_{3}<\mathrm{SiO}_{2}<\mathrm{P}_{2} \mathrm{O}_{3}<\mathrm{SO}_{2} \)
Subject: Maths
Equation \( (2+\lambda) x^{2}-2 \lambda x y+(\lambda- \)
1) \( y^{2}-4 x-2=0 \) represents a
hyperbola if
A \( . \lambda=4 \)
B . \( \lambda=1 \)
\( c \cdot \lambda=\frac{4}{3} \)
\( D \cdot \lambda=3 \)
Subject: Physics
All resistors in the circuit have the
same resistance, \( \boldsymbol{R}, \) and the battery is
having a constant voltage \( \boldsymbol{V} \) Find out power dissipated by resistor \( \boldsymbol{f} \) Given that the power dissipated by
resistor \( e \) is \( P: \)
A \( \frac{P}{6} \)
в. \( \frac{P}{3} \)
c. \( \frac{P}{2} \)
D. \( P \)
E . \( 2 P \)
Subject: Maths
\( \mathbf{f} \mathbf{\Delta}=\left|\begin{array}{ccc}-\boldsymbol{a} & \mathbf{2} \boldsymbol{b} & \mathbf{0} \\ \mathbf{0} & -\boldsymbol{a} & \mathbf{2} \boldsymbol{b} \\ \mathbf{2} \boldsymbol{b} & \mathbf{0} & -\boldsymbol{a}\end{array}\right|=\mathbf{0}, \) then
A \( \cdot \frac{1}{b} \) is a cube root of unity
B. \( a \) is one of the cube roots of unity
\( \mathrm{c} . b \) is one of the cube roots of 8
D. \( \frac{a}{b} \) is a cube root of 8
Subject: Maths
A, \( \mathrm{B} \) are two inaccurate arithmeticians
whose chances of solving a given question correctly are \( (1 / 8) \) and \( (1 / 12) \) respectively. They solve a problem and obtained the same result. If it is 1000 to
1 against their making the same mistake, find the chance that the result
is correct
\( \mathbf{A} \cdot \frac{13}{14} \)
B. \( \frac{2}{7} \)
\( c \cdot \frac{1}{8} \)
D. \( \frac{11}{12} \)
Subject: Physics
In SHM, select the wrong statement, where \( F \) is the force, \( a \) is the
acceleration and \( v \) is the velocity of the
particle in SHM.
A \( \cdot \vec{F} \times \vec{v} \) is a null vector
В . \( |\vec{F} \times \vec{a}|=0 \) (always)
c. \( \vec{F} \times \vec{a}<0 \)
D. \( \vec{a} \cdot \vec{x}<0 \)
Subject: Maths
If the centroid of the tetrahedron
\( O A B C, \) where \( A, B, C \) are given by \( (\alpha, 5,6),(1, \beta, 4),(3,2, \gamma) \) respectively
be \( 1,-1,2, \) then value of \( \alpha^{2}+\beta^{2}+\gamma^{2} \)
equals
A \( \cdot \alpha^{2}+\beta^{2} \)
B. \( \gamma^{2}+\beta^{2} \)
c. \( \alpha^{2}+\gamma^{2} \)
D. None of these