AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{- 2} & \mathbf{3} \\ -\mathbf{4} & \mathbf{2} & \mathbf{5}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{cc}\mathbf{2} & \mathbf{3} \\ \mathbf{4} & \mathbf{5} \\ \mathbf{2} & \mathbf{1}\end{array}\right] \)
Check commutativity of the two matrices
Subject: Physics
A CD(Compact disc ) is read from the bottom by a semiconductor laser with wavelength \( 700 n m \) passes through a
plastic substrate of refractive index 1.8
When the beam encounters 0 pit, part of the beam is reflected from the pit and part from the flat region. These two beams interfere with each other. What
must be the minimum depth of the pit, So that part of the beam reflected from the pit and part reflected from the flat surface cancel out? (This cancellation
allows the player to recognize beginning and end of a pit)
A. \( 0.197 \mu m \)
B. \( 0.395 \mu m \)
\( c .0 .22 \mu m \)
D. \( 0.11 \mu \) m
Subject: Physics
A large rectangular box falls vertically with an acceleration a. A toy gun fixed
at \( A \) and aimed towards 0 fires a
particle P. Which of the following is
false
A. P will hit \( \mathrm{C} \) if \( \mathrm{a}=\mathrm{g} \)
B. P will hit the roof BC if a \( >g \)
c. P will hit the wall cD if \( a<g \)
D. may be either
\( (a),(b) \) or
(c), depending on the projection speed of
Subject: Chemistry
In which pair of species, both species do have the similar geometry?
A. \( C O_{2}, S O_{2} \)
в. \( N H_{3}, B H_{3} \)
c. \( C O_{3}^{2-}, S O_{3}^{2} \)
D. \( S O_{4}^{2-}, C l O_{4}^{-} \)
Subject: Physics
An aeroplane flies along a straight line from \( A \) to \( B \) with air speed \( V \) and back
again with the same air speed.ff the distance between \( A \) and \( B \) is \( l \) and \( a \)
steady wind blows perpendicular to AB with speed \( u \), the total time taken for
the round trip is
A. \( \frac{2 l}{\sqrt{V^{2}-u^{2}}} \)
в. \( \frac{2 l}{\sqrt{V^{2}+u^{2}}} \)
c. \( \frac{l}{\sqrt{V^{2}-u^{2}}} \)
D. \( \frac{3 l}{\sqrt{V^{2}-u^{2}}} \)
Subject: Maths
Find the I.F of \( \boldsymbol{x} \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}+\boldsymbol{y}(\boldsymbol{1}+\boldsymbol{x})=\mathbf{1} \)
A . \( x . e^{x} \)
в. \( e^{x} / x \)
c. \( x+\log x \)
D. xlogx
Subject: Maths
Find the mean deviation about the
median of the following data:
\( \mathbf{1 1}, \mathbf{3}, \mathbf{8}, \mathbf{7}, \mathbf{5}, \mathbf{1 4}, \mathbf{1 0}, \mathbf{2}, \mathbf{9} \)
A . 2.8
B. 3
\( c .3 .3 \)
D. 2.9
Subject: Physics
A car falls of a ledge and drops to the
ground in \( 0.5 s\left(g=10 m / s^{2}\right) \)
(a)Find the speed on striking the ground.
(b)How high is the ledge from the
ground.
(c) If car is of mass \( 100 \mathrm{kg} \),what will be the force by which car will hit the ground.
Subject: Physics
The unit vector perpendicular to \( \vec{A}= \) \( \mathbf{2} \hat{\mathbf{i}}+\mathbf{3} \hat{\mathbf{j}}+\hat{\boldsymbol{k}} \) and \( \overrightarrow{\boldsymbol{B}}=\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}} \) is:
A \( \cdot \frac{4 \hat{i}-\hat{j}-5 \hat{k}}{\sqrt{42}} \)
B. \( \frac{4 \hat{i}-\hat{j}+5 \hat{k}}{\sqrt{42}} \)
c. \( \frac{4 \hat{i}+\hat{j}+5 \hat{k}}{\sqrt{42}} \)
\( \frac{4 \hat{i}+\hat{j}-5 \hat{k} \hat{k}}{\sqrt{42}} \)
Subject: Physics
The shift of the interference pattern on
the screen when the slit is displayed by
\( \boldsymbol{S l}=\mathbf{1} \boldsymbol{m} \boldsymbol{m} \) along the arc of radius \( \boldsymbol{r} \)
with centre at 0
\( A \cdot 4 m m \)
B. \( 6 m m \)
\( c .10 m m \)
D. \( 13 m m \)
Subject: Maths
Consider the function \( f(x)=\frac{x^{2}-1}{x^{2}+1} \)
where \( \boldsymbol{x} \boldsymbol{\epsilon} \boldsymbol{R} \)
At what value of \( x \operatorname{does} f(x) \) attain minimum value?
A . -1
B.
c. 1
D.
Subject: Chemistry
Which of the following reaction shows
reduction of water?
A \( \cdot 2 H_{2} O+2 N a \rightarrow 2 N a O H+H_{2} \)
B \( \cdot 6 C O_{2}+12 H_{2} O \rightarrow C_{6} H_{1} 2 O_{6}+6 H_{2} O+6 O_{2} \)
\( \mathbf{c} \cdot 2 F_{2}+2 H_{2} O \rightarrow 4 H^{+}+4 F^{-}+O_{2} \)
D. \( P_{4} O_{1} 0+6 H_{2} O \rightarrow 4 H_{3} P O_{4} \)
Subject: Physics
A blue car rounds a circular turn at a
constant speed of \( 30 m / s . \) A grey van rounds the same turn at a constant
speed of \( 15 m / s . \) How does the magnitude of the acceleration of the blue car compare to the magnitude of the acceleration of the grey van?
A. The accelerations of both vehicles are zero, since neither is changing speed
B. The magnitude of the blue car's acceleration is twice the magnitude of the grey van's acceleration
c. The magnitude of the blue car's acceleration is four times the magnitude of the grey van's acceleration
D. The magnitude of each car's acceleration is the same, but is not zero
E. We do not have enough information to determine the relative magnitudes of acceleration for the cars in this questions
Subject: Physics
Choose the correct answer from the
alternatives given.
A capacitor made of two circular plates
each of radius \( 12 \mathrm{cm} \) and separated by 5 mm. The capacitor is being charged by
an external source. The charging
current is constant and equal to 0.15 A.
The capacitance of the parallel plate
capacitor is:
\( A \cdot 40 \mathrm{pF} \)
B. \( 45 \mathrm{pF} \)
c. \( 70 \mathrm{pF} \)
D. 80 pF
Subject: Physics
The total number of magnetic lines of
force originating or terminating on a pole of strength \( \mathrm{m} \) is :
A. \( \frac{\mu_{o} m}{4 \pi} \)
в. \( \frac{m}{\mu_{o}} \)
\( c \cdot m^{2} \)
D. \( \mu_{o} m \)
Subject: Biology
In glycolysis pathway which of the following steps show reduction of \( c 0 \) enzyme?
A . 1,3 -diphosphoglycerate to 3 -phosphoglycerate
B. Glucose 6-phosphate to fructose 6-phosphate
c. Glyceraldehyde 3-phosphate to 1,3diphosphoglycerate
D. 3-phosphoglycerate to 2-phosphoglycerate
Subject: Physics
The ratio of magnetic field at centre of circular loop to the magnetic field at the centre of square loop, which are made by a constant length current carrying wire :
A \( \cdot \frac{\pi^{2}}{16} \)
в. \( \frac{\pi^{2}}{8 \sqrt{2}} \)
c. \( \frac{\pi^{2}}{4 \sqrt{2}} \)
D. \( \frac{\pi^{2}}{2 \sqrt{2}} \)
Subject: Physics
\( 540 g \) ice at \( 0^{\circ} \mathrm{C} \) is mixed with \( 540 g \) of
water at \( 80^{\circ} \mathrm{C} \). The final temperature of mixture is
\( \mathbf{A} \cdot 0^{\circ} C \)
B . \( 40^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 80^{\circ} \mathrm{C} \)
D. less than \( 0^{\circ} \mathrm{C} \)
Subject: Chemistry
Dissolution of ammonium chloride in
water is an endothermic reaction, yet it is a spontaneous process. This is due to the fact that:
A. \( \Delta H \) is \( +v e, \Delta s \) is -ve
B. \( \Delta H \) is -ve, \( \Delta \) s is tve
c. \( \Delta \) H is \( + \) ve, \( \Delta \) s is \( + \) ve and \( \Delta \) H \( < \) T \( \Delta \) s
D. \( \Delta \) H is \( + \) ve and \( \Delta \) H \( > \) T \( \Delta \) ss
Subject: Maths
Consider the. following compound
statementt
(i) Mumbai is the capital of Rajasthan or Maharashtra,
(ii) \( \sqrt{3} \) is a rational number or an
irrational number,
(iii) 125 is a multiple of 7 or 8
(iv) A rectangle is a quadrilateral or a regular hexagon. Which of the above statements is not
true?
A. (i)
B. (ii)
c. (iii)
\( D \cdot(\mid v) \)
Subject: Physics
De-Broglie wavelength of an atom at absolute temperature \( \boldsymbol{T} \boldsymbol{K} \) will be
A \( \cdot \frac{h}{\sqrt{3 m K T}} \)
в. \( \frac{h}{m K T} \)
c. \( \frac{\sqrt{2 m K T}}{h} \)
D. \( \sqrt{2 m K T} \)
Subject: Physics
A spherical convex surface separates object and image spaces of refractive indices 1.0 and \( 4 / 3 . \) If radius of curvature of the surface is \( 10 \mathrm{cm}, \) find its power.
A . \( 3.5 D \)
в. \( 2.5 D \)
\( c .25 D \)
D. \( 1.5 D \)
Subject: Maths
Which of the following is true?
A. The ratio of sides of two similar triangles is same as the ratio of their corresponding altitudes.
B. The ratio of sides of two similar triangles is same as the ratio of their corresponding perimeters.
C. The ratio of sides of two similar triangles is same as the ratio of their corresponding area
D. The ratio of sides of two similar triangles is same as the ratio of their corresponding medians.
Subject: Chemistry
The pair in which both species have same magnetic moment (spin only value) is :
\( \mathbf{A} \cdot\left[\operatorname{Cr}\left(H_{2} O\right)_{6}\right]^{2+},\left[\operatorname{CoCl}_{4}\right]^{2-} \)
B . \( \left[C r\left(H_{2} O\right)_{6}\right]^{2+},\left[F e\left(H_{2} O\right)_{6}\right]^{2+} \)
C. \( \left[M n\left(H_{2} O\right)_{6}\right]^{2+},\left[C r\left(H_{2} O\right)_{6}\right]^{2} \)
D. \( \left[C o C l_{4}\right]^{2-},\left[F e\left(H_{2} O\right)_{6}\right]^{2+} \)
Subject: Maths
If \( M N \) is a straight line on a cartesian
plane. The co-ordinates of \( \mathrm{N} \) are (12,13)
and \( M N=9 \) units. Find the co-
ordinates of \( \mathrm{M} \)
A \( .(21,13) \)
B. (12,22)
c. (12,4)
D. (3,13)
Subject: Physics
A thin lens of focal length \( f \) and
aperture diameter \( d \) forms an image of intensity \( I . \) If the central part of the aperture upto diameter \( \boldsymbol{d} / 2 \) is blocked by an opaque paper, then the new focal length and intensity of image will be
A \( \cdot \frac{f}{2}, \frac{l}{2} \)
B. \( \frac{f}{2}, \frac{3}{4} l \)
\( c \cdot_{f, \frac{1}{2}} \)
D. \( f, \frac{3}{4} l \)
Subject: Physics
A closed container is fully insulated
from outside. One half of it is filled with
an ideal gas \( \mathrm{X} \) separated by a plate \( \mathrm{P} \) from the other half \( Y \) which contains a
vacuum as shown in figure. When 0 is removed \( , X \) moves into \( Y \). Which of the
following statements is correct
\begin{tabular}{|c|c|}
\hline\( X \) & \( Y \) \\
gas & vacuum \\
& \( p \) \\
\hline
\end{tabular}
A. No work is done by \( x \)
B. \( x \) decreases in temperature
c. \( x \) increases in internal energy
D. \( x \) doubles in pressure
Subject: Maths
The complex number \( \frac{2^{n}}{(1+i)^{2 n}}+ \) \( \frac{(1+i)^{2 n}}{2^{n}}, \quad n \in \)
\( \boldsymbol{Z}, \quad \boldsymbol{i s} \quad \boldsymbol{e q u a l} \quad \boldsymbol{t o} \)
Subject: Maths
\( A_{3 \times 3} \) is a matrix such that \( |A|= \) \( \boldsymbol{a}, \boldsymbol{B}=(\boldsymbol{a} \boldsymbol{d} \boldsymbol{j} \boldsymbol{A}) \) such that \( |\boldsymbol{B}|=\boldsymbol{b} . \) Find
the value of \( \frac{\left(a b^{2}+a^{2} b+1\right) S}{25} \) where \( \frac{1}{2} S=\frac{a}{b}+\frac{a^{2}}{b^{3}}+\frac{a^{3}}{b^{5}}+\dots \dots \dots u p t o \infty \)
and \( \boldsymbol{a}=\mathbf{3} \)
Subject: Maths
If \( \vec{a}, \vec{b} \) and \( \vec{c} \) are three non-zero vectors such that \( \vec{a} \cdot \vec{b}=\vec{a} \cdot \vec{c}, \) then
\( A \cdot \vec{b}=\vec{c} \)
В . \( \vec{a} \perp \vec{b}, \vec{c} \)
c. \( \vec{a} \perp \vec{b}-\vec{c} \)
D. either \( \vec{a} \perp(\vec{b}-\vec{c}) \) or \( \vec{b}=\vec{c} \)
Subject: Physics
\( 19 g \) of water at 30 and \( 5 g \) of ice at
\( -20 C \) are mixed together in a
calorimeter. What is the final
temperature of the mixture? (Given specific heat of ice \( =\mathbf{0 . 5} \)calg\( ^{-1}()^{-1} \)
and latent heat of fusion of ice \( = \)
\( 80 c a l g^{-1} \)
\( \mathbf{A} \cdot \mathbf{0} \)
B. -5
\( c .5 \)
D. 10
Subject: Physics
Two blocks, one of iron(i) and the other
of wood(w) are dropped from a height at the same time. If the time taken by the
blocks to reach the ground is \( T_{i} \) and \( T_{w} \) respectively, then find the relation
between them?
A \( . T_{i}<T_{w} \)
в. \( T_{i}=T_{w} \)
c. \( T_{i}>T_{w} \)
D. \( T_{i}=\frac{1}{2 T_{w}} \)
Subject: Maths
From a batch of 100 items of which 20
are defective, exactly two items are chosen, one at a time, without
replacement. Calculate the probabilities that the second item chosen is defective
A \( \cdot \frac{2}{5} \)
в. \( \frac{19}{100} \)
\( c \cdot \frac{1}{5} \)
D. none of these
Subject: Physics
When a dielectric slab of thickness \( 4 \mathrm{cm} \)
is introduced between the plates of parallel plate condenser, it is found that
the distance between the plates has to be
increased by \( 3 \mathrm{cm} \) to restore the capacity to it's original value. The dielectric
constant of the slab is
A \( \cdot \frac{1}{4} \)
B. 4
\( c .3 \)
D.
Subject: Chemistry
A solution consists of 1 mole each of
\( \boldsymbol{C H}_{3} \boldsymbol{C O O H} \) and \( \boldsymbol{C H}_{3} \boldsymbol{C O O N a} . \) The
p \( K a \) of acetic acid is \( 4.8 . \) What is the
\( \boldsymbol{p} \boldsymbol{H} \) of the solution, when 0.1 mole of
NaOH is added?
A . 4.8
B. Slightly greater than 4.8
c. Slightly less than 4.8
D.
Subject: Chemistry
Assertion
Scum is formed when hard water is
treated with soap.
Reason
Hard water contains calcium and magnesium ions. When soap comes in contact with hard water, these ions
form calcium and magnesium salts of
fatty acids which are insoluble in water. These calcium or magnesium salts precipitate out in the form of scum.
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 inverse of "If \( x \) has courage, then \( x \)
will win", is
\( \mathbf{A} \cdot \) If \( x \) will win, then \( x \) has courage.
B. If \( x \) has no courage, then \( x \) will not win.
C. If \( x \) will not win, then \( x \) has no courage.
D. If \( x \) will not win, then \( x \) has courage.
Subject: Chemistry
At \( 20^{\circ} C \) the vapour pressure of
\( C H_{3} O H \) and \( C_{2} H_{5} O H \) is \( 94 \mathrm{mm} \) and
\( 44 \mathrm{mm}, \) respectively.

If 20 g of \( C H_{3} O H \) is mixed with 100 g
of \( C_{2} H_{5} O H, \) determine the total
pressure of the solution (in \( \mathrm{mm} \) )
Subject: Physics
The radioactivity of a sample is \( R_{1} \) at a
time \( T_{1} \) and \( R_{2} \) at a time \( T_{2} . \) If the half-
life of the specimen is \( T, \) the number of atoms that have disintegrated in the
time \( T_{2}-T_{1} \) is proportional to
A \( \cdot T_{2}-T_{1} \alpha\left(R_{1}-R_{2}\right) T \)
В \( \cdot\left(R_{1}-R_{2}\right) \)
c. \( \left(R_{1}-R_{2}\right) / T \)
D \( \cdot\left(R_{1}-R_{2}\right) T \)
Subject: Chemistry
Assertion
\( \mathrm{g} \) atom of \( \boldsymbol{O}_{2} \) and \( 1 \mathrm{g} \) atom of \( \boldsymbol{O}_{3} \) have equal number of molecules.
Reason
Mass of 1 mol atom is equal to its gram atomic mass.
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: Physics
If \( I_{0} \) is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity
when the slit width is doubled
A. \( I_{0} \)
B. \( \frac{I_{0}}{2} \)
\( c \cdot 2 I_{0} \)
D. \( 4 I_{0} \)
Subject: Maths
A box contains 100 tickets numbered
\( 1,2,3, \dots, 100 . \) two tickets are chosen at random. If it is given that the maximum
number on the two chosen tickets is not
more than 10 , then the probability that the minimum number on them is not
less than 5 is
A \( \cdot \frac{1}{3} \)
B. \( \frac{1}{5} \)
c. \( \frac{152}{165} \)
D. None of these
Subject: Physics
An optical fibre is made of quartz filaments of refractive index 1.70 and it
has a coating of material whose refractive index is \( 1.45 . \) The range of
angle of incidence for one laser beam to suffer total internal reflection is
\( \mathbf{A} \cdot 0^{\circ} \) to \( 56.8^{\circ} \)
B . \( 0^{\circ} \) to \( 62.6^{\circ} \)
\( \mathbf{c} \cdot 0^{\circ} \) to \( 90^{\circ} \)
D. \( 0^{\circ} \) to \( 180^{\circ} \)
Subject: Physics
The pressure exerted by an electromagnetic wave of intensity
\( I\left(w a t t / m^{2}\right) \) on a non-
reflecting surface is : \( [\mathrm{c} \) is the velocity of light
\( \mathbf{A} \cdot I c \)
B . \( I c^{2} \)
\( c \cdot I / c \)
D. \( I / c^{2} \)
Subject: Physics
Which of the following is not an example of a motion with a constant
speed but variable velocity?
A. A car moving at \( 80 k m p h \) on a straight road
B. A car moving at \( 80 k \) mph on a square track
c. A car moving at \( 80 k m p h \) on a circular track
D. A car moving at \( 80 k m p h \) on a zig-zag path
Subject: Physics
If the frequency of an alternating e.m.f.
is \( f \) in \( L-C-R \) circuit, then the value of
impedance \( \mathbf{Z} \) as log(frequency)
increases:
A. increases
B. increases and then becomes equal to resistance, then it will start decreasing
c. decreases and when it becomes minimum, equal to the resistance then it will start increasing
D. go on decreasing
Subject: Chemistry
\( 0.394 \mathrm{g} \) of an organic compound containing iodine on treatment by Carius method gave 0.705 g of silver iodide. Find the percentage of halogen in the compound.
A . \( 99 \% \)
B . \( 96.7 \% \)
c. \( 95 \% \)
D. \( 92 \% \),
Subject: Physics
The segment \( A B \) of wire carrying current
\( I_{1} \) is placed perpendicular to a long
straight wire carrying current \( \boldsymbol{I}_{2} \) as
shown in figure.The magnitude of force experienced by the straight wire \( A B \) is
A \( \cdot \frac{\mu_{o} I_{1} I_{2}}{2 \pi} 1 n 3 \)
В. \( \frac{\mu_{o} I_{1} I_{2}}{2 \pi} 1 n 2 \)
c. \( \frac{2 \mu_{o} I_{1} I_{2}}{2 \pi} \)
D. \( \frac{\mu_{o} I_{1} I_{2}}{2 \pi} \)
Subject: Biology
A group of red beetles lives on green leaves of a tree. Beetles multiply
through sexual reproduction. One day,
some green beetles are seen among the red beetles. Green beetles breed to
produce green progeny. Crows on the
tree eat beetles. Some green beetles appear among the red beetle because
A. Beetles become green by accumulating chlorophyll from the green leaves that they eat
B. Natural variations occur during sexual reproduction
C. Red beetles mimic green colour of leaves whenever they see crows
D. Beetle change colour from red to green with change of season
Subject: Chemistry
An atom has \( 2 \mathrm{K}, 8 \mathrm{L}, 5 \mathrm{M} \) electrons. Which
of the following is its correct electronic configuration?
A \( .1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{2} \)
B . \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{3} \)
C. \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{4} \)
D. None of these
Subject: Maths
Assertion
The largest term in the sequence \( a_{n}= \) \( \frac{n^{2}}{n^{3}+200}, n \in N \) is the 7 th term.
Reason
The function \( f(x)=\frac{x^{2}}{x^{3}+200} \) attains
local maxima at \( x=7 \)
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: Chemistry
Allyl phenyl ether can be prepared by
heating:
A \( \cdot C H_{2}=C H-C H_{2}-B r+C_{6} H_{5} O N a \)
В. \( C_{6} H_{5}-C H=C H-B r+C H_{3}-O N a \)
c. \( C_{6} H_{5} B r+C H_{2}=C H-C H_{2}-O N a \)
D. \( C H_{2}=C H-B r+C_{6} H_{5}-C H_{2}-O N a \)
Subject: Maths
Which term of the \( A P 4,9,14,19, \dots \) is
\( \mathbf{1 0 9} ? \)
\( \mathbf{A} \cdot 14^{t h} \)
B. \( 18^{\text {th }} \)
\( c \cdot 22^{n d} \)
D. \( 16^{\text {th }} \)
Subject: Chemistry
Of the isomeric hexanes, the isomers
that give the minimum and the maximum number of monochloro
derivatives are respectively:
A. 2,3- dimethylbutane and n- hexane
B. 3- -methylpentane and 2,3- dimethylbutane
c. 2,2 - dimethylbutane and
2 - methylpentane
D. 2,3 - dimethylbutane and
2 - methylpentane
E. 2-methylpentane and 2,2-dimethylbutane
Subject: Maths
state-wise teacher student ratio in
higher secondary schools of India. Find
the mode and mean of this data.
nterpret the two measures.
\( A \)
Mode\( =31.7, \) Mean\( =28.2 \)
B. Mode\( =33.6, \) Mean\( =25.3 \)
c. Mode\( =35.7, \) Mean\( =26.3 \)
Mean\( =29 \)
D. Mode\( =30.6, \)
Subject: Chemistry
Assertion
Hydrogen peroxide acts only as
oxidising agent. \( \left(\boldsymbol{H}_{2} \boldsymbol{O}_{2} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{O}\right) \)
Reason
All peroxides behave as the oxidising
agent only.
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
Prove that
\[
\left|\begin{array}{ccc}
\mathbf{1} & \mathbf{1} & \mathbf{1}+\mathbf{3} \boldsymbol{x} \\
\mathbf{1}+\mathbf{3} \boldsymbol{y} & \mathbf{1} & \mathbf{1} \\
\mathbf{1} & \mathbf{1}+\mathbf{3} \boldsymbol{z} & \mathbf{1}
\end{array}\right|=\mathbf{9}(\mathbf{3} \boldsymbol{x} \boldsymbol{y} \boldsymbol{z}+
\]
\( \boldsymbol{x} \boldsymbol{y}+\boldsymbol{y} \boldsymbol{z}+\boldsymbol{z} \boldsymbol{x} \)
Subject: Biology
In a normal pregnant woman, the
amount of total gonadotropin activity
was assessed. The result expected was.
A. High level of circulating FSH and LH in the uterus to stimulates implantation of the embryo
B. High level of circulating HCG to stimulate endometrial thickening
C. High level of FSH and LH in uterus to Stimulate endometrical thickening
D. High level of circulating HCG to stimulate estrogen and progesterone synthesis
Subject: Chemistry
What is the percent ionization \( (\alpha) \) of \( a \)
\( 0.01 M H A \) solution?
(Given that \( \boldsymbol{K}_{\boldsymbol{a}}=\mathbf{1 0}^{-4} \) )
A \( .9 .5 \% \)
B. 1\%
c. \( 10.5 \% \)
D. \( 10 \% \)
Subject: Chemistry
Assertion
Isomers can be homologues.
Reason

Homologues can be isomers.
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 statements are
correct for the \( \boldsymbol{S O}_{\boldsymbol{4}}^{\boldsymbol{2}-} \) ion?
This question has multiple correct options
A. It is tetrahedral.
B. All the \( S-O \) bond length are equal, and shorter than
expected.
C. It contains four \( \sigma \) -bonds between the \( S \) and the \( O \) atoms, two \( \pi \) -bonds delocalized over the \( S \) and the four \( O \) atoms, and all the \( S-O \) bonds have a bond
order of 1.5
D. Oxidation state of sulphur is +6 and all oxygen in 2
Subject: Chemistry
The molecules like \( B r F_{5} \) and \( X e O F_{4} \)
are square pyramidal in shape. What is the type of hybridisation shown in these molecules?
A. \( d s p^{3} \)
B. \( d s p^{2} \)
\( \mathbf{c} \cdot s p^{3} d \)
D. \( s p^{3} d^{2} \)
Subject: Physics
A planet is observed by an astronomical reflecting telescope having an objective of focal length \( 16 m \) and an eye-piece of
focal length 2cm. Then:
This question has multiple correct options
A. the distance between the objective and the eye - piece is \( 16.02 m \)
B. the angular magnification of the planet is 800
c. the image of planet is erect
D. the objective is larger than eye - piece
Subject: Maths
The image of the line \( \frac{\boldsymbol{x}-\mathbf{1}}{\mathbf{3}}=\frac{\boldsymbol{y}-\mathbf{3}}{\mathbf{1}}= \)
\( \frac{z-4}{-5} \) in the plane \( 2 x-y+z+3=0 \)
is the line?
A. \( \frac{x-3}{3}=\frac{y+5}{1}=\frac{z-2}{-5} \)
в. \( \frac{x-3}{-3}=\frac{y+5}{-1}=\frac{z-2}{5} \)
c. \( \frac{x+3}{3}=\frac{y-5}{1}=\frac{z-2}{-5} \)
D. \( \frac{x+3}{-3}=\frac{y-5}{-1}=\frac{z+2}{5} \)
Subject: Physics
Using mass \( (M), \) length \( (L), \) time \( (T) \)
and current \( (A) \) as fundamental
quantities, the dimensional formula of
permittivity is
\( \mathbf{A} \cdot\left[M L^{-2} T^{2} A\right] \)
B \( \cdot\left[M^{-1} L^{-3} T^{4} A^{2}\right] \)
\( \mathbf{c} \cdot\left[M L T^{-2} A\right] \)
D・ \( \left[M L^{2} T^{-1} A^{2}\right] \)