AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The enthalpy change involved in the
oxidation of glucose is \( -28850 \mathrm{KJ} \) mole\( ^{-1} \)
\( 25 \% \) of this energy is available for
muscular work. If \( 100 \mathrm{KJ} \) of muscular
work is needed to walk one kilometer
What is the maximum distance that a
person will be able to walk after
consuming 120 gm of glucose?
A \( .4 .8 \mathrm{km} \)
B. \( 9.6 \mathrm{km} \)
c. \( 2.4 \mathrm{km} \)
D. \( 7.2 \mathrm{km} \)
Subject: Maths
If \( \int \frac{d x}{(x+2)\left(x^{2}+1\right)}=a \ln \left(1+x^{2}\right)+ \)
\( b \tan ^{-1} x+\frac{1}{5} \ln |x+2|+C \) then
A. \( a=-\frac{1}{10}, b=-\frac{2}{5} \)
B. \( a=\frac{1}{10}, b=\frac{2}{5} \)
c. \( a=-\frac{1}{10}, b=\frac{2}{5} \)
D. \( a=\frac{1}{10}, b=-\frac{2}{5} \)
Subject: Physics
A ball of mass m collides head on with
another ball at rest. The KE of the
system left is \( 50 \% \). Find the coefficient of restitution.
A \( \cdot \frac{1}{\sqrt{2}} \)
B. \( \frac{\sqrt{2}}{3} \)
\( c \cdot \frac{1}{2} \)
D. zero
Subject: Physics
A body of mass \( 2 k g \) is lying on a floor
The coefficient of static friction is 0.54
What will be the value of frictional force
if the force is \( 2.8 N \) and \( g=10 m s^{-2} ? \)
A . zero
в. \( 2 N \)
\( c .2 .8 N \)
D. \( 8 N \)
Subject: Maths
Find the mean deviation about mean for
the following data.
\( \begin{array}{llll}\text { Class } & \mathbf{1 0}- & \mathbf{2 0}- & \mathbf{3 0}- \\ \text { interval } & \mathbf{1 9} & \mathbf{2 9} & \mathbf{3 9}\end{array} \)
Frequency 6
Subject: Chemistry
Calculate the pH of the buffer solution prepared by mixing, \( 50 \mathrm{ml} \) of \( 0.1 \mathrm{M} \)
\( N H_{4} O H \) and \( 25 \mathrm{ml} \) of \( 2 \mathrm{M} N H_{4} C I \)
\( \left(p K_{b} \text { of } N H_{4} O H \text { is } 4.8\right) \)
A . 5.8
B. 4.8
\( c \cdot 9.2 \)
D. 8.2
Subject: Maths
The value of \( a \) in order that \( f(x)= \) \( \sqrt{3} \sin x-\cos x-2 a x+b \) decreases
for all real values of \( x, \) is given by
\( \mathbf{A} \cdot a<1 \)
в. \( a \geq 1 \)
\( c \cdot a \geq \sqrt{2} \)
D. \( a<\sqrt{2} \)
Subject: Physics
An electron passes undeflected
through perpendicular electric and magnetic fields of intensity \( 3.4 \times \)
\( \mathbf{1 0}^{\mathbf{3}} \boldsymbol{V} / \boldsymbol{m} \) and \( \mathbf{2} \times \mathbf{1 0}^{-\mathbf{3}} \boldsymbol{W} \boldsymbol{b} / \boldsymbol{m}^{\mathbf{2}} \)
respectively. Then its velocity is:
A \( .1 .7 \times 10^{6} \mathrm{m} / \mathrm{s} \)
B . \( 6.8 \times 10^{6} \mathrm{m} / \mathrm{s} \)
\( c \cdot 6.8 m / s \)
D. \( 1.7 \times 10^{8} \mathrm{m} / \mathrm{s} \)
Subject: Physics
An electron is moving in a perpendicular magnetic field of strength \( 4 \times 10^{-3} T \) with a velocity of
\( 4 \times 10^{7} m / s . \) The radius of electron path
will be
\( \mathbf{A} \cdot 0.56 m \)
B. \( 0.056 m \)
\( c .56 m \)
D. \( 5.6 m \)
Subject: Physics
The associated figure shows an electric
charge \( +q \) located at the centre of a hollow uncharged conducting metal sphere. Outside the sphere is a second
charge \( +Q . \) Both charges are positive.
Choose the description below that
describes the net electrical forces on
each charge in this situation.
A. Both charges experience the same net force directed
B. No net force experienced by either charge.
c. There is no net force on Q but a net force on q
D. There is no net force on q but a net force on \( Q \)
E. Both charges experience a net force but they are diff
Subject: Chemistry
The structure of diborane \( \left(B_{2} H_{6}\right) \)
contains:
A. Four \( 2 C-2 e \) bonds and two \( 3 C 2 e \) bonds
B. Two \( 2 C-2 e \) bonds and two \( 3 C 2 e \) bonds
c. Two \( 2 C-2 e \) bonds and four \( 3 C 2 e \) bonds
D. Four \( 2 C-2 e \) bonds and four \( 3 C 2 e \) bonds
Subject: Maths
\( \left|\begin{array}{ccc}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{a}+\boldsymbol{b} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{b}+\boldsymbol{c} \\ \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{0}\end{array}\right|=\mathbf{0}, \) then \( \boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c} \)
\( \operatorname{are} \) in
A. A.P
B. G.P.
\( c . \) н.
D. None of these
Subject: Maths
The length of similar components
produced by a company is approximated by a normal distribution model with a mean of \( 5 \mathrm{cm} \) and a
standard deviation of \( 0.02 \mathrm{cm} . \) If a
component is chosen at random, what is the probability that the length of this component is between 4.96 and 5.04
\( \mathrm{cm} ? \)
\( \mathbf{A} \cdot 0.9544 \)
B. 0.1236
c. 0.7265
D. 0.9546
Subject: Chemistry
\( \boldsymbol{H}_{3} \boldsymbol{C}-\boldsymbol{C H}_{2}-\underset{\boldsymbol{H}}{\boldsymbol{C}}^{\boldsymbol{C H}_{3}}-\boldsymbol{C H}_{2} \boldsymbol{C H}_{3} \)
Maximum numbers of isomers(during stereoisomers) that are possible on monochlorination of following compound is:
A .2
B. 4
\( c \cdot 6 \)
D.
Subject: Chemistry
A neutral atom has a total of
17 electrons. The electron configuration
in the outermost principle energy level will look closest to:
A \( \cdot 1 s^{2}, 2 s^{2}, 2 p^{5} \)
B . \( 3 s^{2}, 3 p^{5} \)
\( \mathbf{c} \cdot s^{2}, p^{5} \)
D. \( s^{2}, p^{8}, d^{7} \)
E \( . s, p^{7} \)
Subject: Physics
Estimate the increase in wavelength in
an average compton scattering process.
\( \mathbf{A} \cdot 5 \times 10^{-33} \mathrm{m} \)
B \( .5 \times 10^{-31} \mathrm{m} \)
D. \( 2 \times 10^{-31} \mathrm{m} \)
Subject: Chemistry
One litre of a buffer solution contains
\( 0.01 \mathrm{M} N H_{4} C l \) and \( 0.1 \mathrm{M} N H_{4} O H . \) The
\( p^{k b} \) of base is \( 5 . p^{H} \) value of the solution
is:
\( A \cdot 9 \)
B. 10
\( c \cdot 4 \)
D. 6
Subject: Chemistry
Which of the following has the highest molar conductivity in solution?
\( \mathbf{A} \cdot\left[P t\left(N H_{3}\right)_{6}\right] C l_{4} \)
в. \( \left[P t\left(N H_{3}\right)_{5} C l\right] C l_{3} \)
\( \mathbf{c} \cdot\left[\operatorname{Pt}\left(N H_{3}\right)_{4} C l_{2}\right] C l_{2} \)
D \( \cdot\left[\operatorname{Pt}\left(N H_{3}\right)_{3} C l_{3}\right] C l \)
Subject: Physics
The frequency of a particle executing SHM is 10 Hz. The particle is suspended from a vertical spring. At the highest point of its oscillation, the spring is unstretched. Maximum speed of the
particle is \( (\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s} \mathbf{2}) \)
\( ^{\text {A }} \cdot \frac{1}{2 \pi} m s \)
в. \( \frac{7}{2 \pi} m s \)
c. \( \frac{5}{2 \pi} m s \)
D. \( \frac{1}{3 \pi} m s \)
Subject: Chemistry
The correct statement about the given
reaction is:
\( \mathbf{A} \cdot M e_{3} C-O M e \) with anhydrous \( H I \) gives this reaction
B. \( M e_{3} C-O M e \) with concentrated \( H I \) gives this
reaction
\( \mathbf{C} . \) Both \( A \) and \( \mathbf{B} \)
D. None of the above
Subject: Maths
A box contain \( N \) coins, \( m \) of which are
fair and rest are biased. The probability of getting a head when a fair coin is tossed is \( \frac{1}{2}, \) while it is \( \frac{2}{3} . \) when a biased coin is tossed. A coin is drawn from the
box at random and is tossed twice. The
first time it shows head and the second
time it shows tail. The probability that the coin drawn is fair is
A \( \cdot \frac{8 \mathrm{m}}{8 \mathrm{N}+\mathrm{m}} \)
B. \( \frac{\mathrm{m}}{8 \mathrm{N}+\mathrm{m}} \)
c. \( \frac{9 \mathrm{m}}{8 \mathrm{N}+\mathrm{m}} \)
D. \( \frac{9 \mathrm{N}}{8 \mathrm{N}+\mathrm{m}} \)
Subject: Physics
A bar magnet is demagnetized by inserting it inside a solenoid of length \( 0.2 m, 100 t u r a s, \) and carrying a current
of \( 5.2 A . \) The coercivity of the bar
magnet is:
A. \( 1200 A / m \)
в. \( 2600 A / m \)
c. \( 5200 A / j m \)
D. \( 285 A / m \)
Subject: Chemistry
The rate of a certain reaction increases
by 2.3 times when the temperature is raised from \( 300 \mathrm{K} \) to \( 310 \mathrm{K} \). If \( \mathrm{k} \) is the
rate constant at \( 300 \mathrm{K} \), then the rate
constant at \( 310 \mathrm{K} \) will be equal to:
\( A \cdot 2 k \)
B.
\( c \cdot 2.3 k \)
\( D \cdot 3 k^{2} \)
Subject: Maths
\( A \) and \( B \) are two events such that
\( \boldsymbol{P}(\boldsymbol{A}) \neq 0 . \) Find \( \boldsymbol{P}(\boldsymbol{B} \mid \boldsymbol{A}), \) if
(i) \( A \) is a subset of \( B \)
(ii) \( \boldsymbol{A} \cap \boldsymbol{B}=\boldsymbol{\phi} \)
Subject: Chemistry
If you mix 3 litres of 0.5M \( N a C l \) with 9 litres of \( 0.2777 \mathrm{M} N a C l \) what will the
concentration of the final solution be
assuming that volumes are additive?
в. 0.39 м
c. \( 0.5777 \mathrm{M} \)
D. 0.6777 M
E. None of the above
Subject: Physics
Choose the correct statements from the
following:
This question has multiple correct options
A. the general form of Newton's second law of motion is \( \vec{F}_{e x t}=\vec{m} a \)
B. a body can have energy and get no momentum.
C. a body having momentum must necessarily have kinetic energy.
D. the relative velocity of two bodies in a head-on elastic collision remains unchanged in magnitude and direction.
Subject: Maths
Jorge's current hourly wage for working at Denti Smiles is \( \$ 12.00 . \) Jorge was
told that at the beginning of next month, his new hourly wage will be an increase of \( 6 \% \) of his current hourly
wage. What will be Jorge's new hourly wage?
A . \( \$ 12.06 \)
B. \( \$ 12.60 \)
c. \( \$ 12.72 \)
D. \$ 18.00
E . \( \$ 19.20 \)
Subject: Maths
Tangents PA and PB drawn to \( x^{2}+y^{2}= \)
9 from any arbitrary point 'P' on the line \( x+y=25 . \) Locus of midpoint of chord
\( A B \) is
A \( \cdot 25\left(x^{2}+y^{2}\right)=9(x+y) \)
B . \( 25\left(x^{2}+y^{2}\right)=3(x+y) \)
C. \( 5\left(x^{2}+y^{2}\right)=3(x+y) \)
D. None of these
Subject: Physics
The pressure in water pipe at the ground floor of a building is \( 120000 P a \)
where as the pressure on a third floor is
\( 30000 P a . \) What is the height of third
floor?
(Take \( g=10 m s^{-2} \), density of water \( = \)
\( \left.1000 k g m^{-3}\right) \)
Subject: Maths
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}[\log (\sec \boldsymbol{x}-\tan \boldsymbol{x})] \) is equal to:
A . \( -\sec x \)
B. \( \sec x+\tan x \)
\( c . \sec x \)
D. \( \sec x-\tan x \)
Subject: Maths
Find the remainder when we divide
\( \boldsymbol{x}^{7} \boldsymbol{y}-\boldsymbol{x} \boldsymbol{y}^{7} \) by \( (\boldsymbol{x}+\boldsymbol{y})\left(\boldsymbol{x}^{2}-\boldsymbol{x} \boldsymbol{y}+\boldsymbol{y}^{2}\right) \)
Subject: Chemistry
The pH of 0.05 M aqueous solution of
diethyl amine is 12. calculate its \( K_{b} \)
A. \( 2 \times 10^{-3} \)
В. \( 2.5 \times 10^{-4} \)
c. \( 2.5 \times 10^{-3} \)
D. \( 2 \times 10^{-4} \)
Subject: Maths
Assertion
Let \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) be a function defined by
\( \boldsymbol{f}(\boldsymbol{x})=\max \left\{\boldsymbol{x}, \boldsymbol{x}^{3}\right\} . \) Then, \( \boldsymbol{f}(\boldsymbol{x}) \) is not
differentiable at \( \boldsymbol{x}=-\mathbf{1}, \mathbf{0}, \mathbf{1} \)
Reason
\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{l}\boldsymbol{x}, \boldsymbol{x} \leq-\mathbf{1} \\ \boldsymbol{x}^{3},-\mathbf{1}<\boldsymbol{x} \leq \mathbf{0} \\ \boldsymbol{x}, \mathbf{0}<\boldsymbol{x} \leq \mathbf{1} \\ \boldsymbol{x}^{3}, \boldsymbol{x}>\mathbf{1}\end{array}\right. \)
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
Find the magnetic field at \( P \) due to the
arrangement shown
A \( \cdot \frac{\mu_{0} \mathrm{i}}{\sqrt{2} \pi \mathrm{d}}\left(1-\frac{1}{\sqrt{2}}\right) \otimes \)
B. \( \frac{2 \mu_{0} \mathrm{i}}{\sqrt{2} \pi \mathrm{d}} \otimes \)
C. \( \frac{\mu_{0} \mathrm{i}}{\sqrt{2} \pi \mathrm{d}} \otimes \)
D. \( \frac{\mu_{0} \mathrm{i}}{\sqrt{2} \pi \mathrm{d}}\left(1+\frac{1}{\sqrt{2}}\right) \otimes \)
Subject: Maths
If the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}\frac{1-\cos 4 x}{8 x^{2}}, x \neq 0 \\ k, x=0\end{array} \) is continuous at \right.
\( \boldsymbol{x}=\mathbf{0} \) then \( \boldsymbol{k}=? \)
A . 1
B . 2
\( c \cdot \frac{1}{2} \)
D. \( \frac{-1}{2} \)
Subject: Maths
\( \ln a \Delta A B C, I f A C>A B \) and the
bisector of \( \angle A \) meets \( B C \) at \( E \), then
A. \( C E>B E \)
в. \( C E<B E \)
c. \( C D>B E \)
D. \( C D<B E \)
Subject: Maths
The area bounded by \( x^{2}=4 a y \) and \( y= \)
\( 2 a \) is?
A \( \cdot \frac{16 \sqrt{2} a^{2}}{3} \)
в. \( \frac{16 a^{2}}{3} \)
c. \( \frac{8 a^{2}}{3} \)
D. \( \frac{8 \sqrt{2} a^{2}}{3} \)
Subject: Chemistry
\( \mathbf{5 0} \boldsymbol{m l}, \mathbf{0 . 6} \boldsymbol{M} \boldsymbol{a q} . \) solution of \( \boldsymbol{B a C l}_{2} \) is
mixed with \( 50 m l, 0.6 M N a_{3} P O_{4} \)
solution at \( 25^{\circ} \mathrm{C} \), then concentration of
\( B a^{2+} \) ions in the solution at \( 25^{\circ} \mathrm{C} \) is:
\( \left(K_{s p} \text { of barium phosphate at } 25^{\circ} C=\right. \) \( \left.2.7 \times 10^{-10}\right) \)
A \( \cdot 1 \times 10^{-3} M \)
В \( \cdot 2 \times 10^{-3} M \)
c. \( 3 \times 10^{-3} M \)
D. \( 3 \times 10^{-2} M \)
Subject: Chemistry
A button cell used in watches functions
as following:
\( Z n(s)+A g_{2} O(s)+H_{2} O(l) \rightleftharpoons \)
\( 2 A g(s)+Z n^{2+}(a q)+2 O H^{-}(a q) \)
If half cell potentials are:
\( Z n^{2+}(a q)+2 e^{-} \rightarrow Z n(s) ; E^{\circ}= \)
\( -0.76 V \)
\( \boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{O}(\boldsymbol{s})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l})+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \boldsymbol{2} \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s})+ \)
\( \mathbf{2 O H}^{-}(\boldsymbol{a q}), \boldsymbol{E}^{\circ}=\mathbf{0 . 3 4} \boldsymbol{V} \)
The cell potential will be:
A. \( 1.10 v \)
B. 0.42
c. \( 0.84 \mathrm{v} \)
D. 1.34
Subject: Chemistry
A larger number of oxidation states are exhibited by the actinides than those by the lanthanides.
The main reason being:
A. more reactive nature of the actinides than the lanthanides
B. \( 4 f \) orbitals are more diffused than the \( 5 f \) orbital
c. lesser energy difference between \( 5 f \) and \( 6 d \) orbitals than between \( 4 f \) and \( 5 d \) orbital
D. more energy difference between \( 5 f \) and \( 6 d \) orbitals than between \( 4 f \) and \( 5 d \) orbitals
Subject: Maths
A bag contains 3 white, 3 black, and 2 red balls. One by one three balls are drawn without replacing them, then find the probability that the third ball is red.
A \( \cdot \frac{1}{4} \)
B. \( \frac{3}{4} \)
\( c \cdot \frac{1}{3} \)
D. None of these
Subject: Physics
A uniform meter sticks of mass 200 g is suspended from the ceiling through two verticle strings of equal lengths fixed at the ends. A small object of 20 g is placed on the stick at a distance of 70
\( \mathrm{cm} \) from the left end. Find the tension in
the two strings.
A \( \cdot T_{1}=1.06 N, T_{2}=1.14 N \)
B . \( T_{1}=1.03 N, T_{2}=1.17 N \)
C . \( T_{1}=1.10 N, T_{2}=1.10 N \)
D. \( T_{1}=1.00 N, T_{2}=1.20 N \)
Subject: Maths
\( A B \) and \( C D \) are two parallel chords of a circle such that \( A B=10 \mathrm{cm} \) and
\( C D=24 \mathrm{cm} . \) If the chords are on
opposite sides of the centre and the distance between them is \( 17 \mathrm{cm} . \) The
radius of the circle is
\( \mathbf{A} \cdot 26 \mathrm{cm} \)
B. \( 39 \mathrm{cm} \)
c. \( 6.5 \mathrm{cm} \)
D. \( 13 \mathrm{cm} \)
Subject: Maths
A tangent to the curve \( y=f(x) \) at
\( \boldsymbol{p}(\boldsymbol{x}, \boldsymbol{y}) \) meets \( \boldsymbol{x}-\boldsymbol{a} \boldsymbol{x} \boldsymbol{i} \boldsymbol{s} \) at \( \boldsymbol{A} \) and \( \boldsymbol{y}- \)
axis at \( B . \) If \( \overline{A P}: \overline{B P}=1: 3 \) and
\( f(1)=1 \) then the curve also passes
through the point.
\( ^{\mathbf{A}} \cdot\left(\frac{1}{2}, 4\right) \)
B \( \cdot\left(\frac{1}{3}, 24\right) \)
c. \( \left(2, \frac{1}{8}\right) \)
D. \( \left(3, \frac{1}{28}\right) \)
Subject: Biology
Photosynthesis in an aquatic plant was
measured by counting the number of
\( O_{2} \) bubbles coming out of the cut end of
the plant. What will happen to \( \boldsymbol{O}_{2} \)
production if you use a pipe blow air
from your mouth into water in the beaker?
A. Air from mouth contains \( O_{2} \) which is being added to
the plant, hence increase in \( O_{2} \) production.
B. Air from mouth contains \( C O_{2} \) which is utilised in
photosynthesis, hence increase in \( O_{2} \) production.
C. Bacteria from mouth will infect plant, hence reduction \( \operatorname{in} O_{2} \) production.
D. Water is already in contact with air, hence air from mouth will have no effect.
Subject: Chemistry
Which one is correct relation?
This question has multiple correct options
\( \mathbf{A} \cdot \Delta G=\Delta G^{o}+R T \ln Q \)
\( \mathbf{B} \cdot-\Delta G^{o}=R T \ln K \)
\( \boldsymbol{\alpha} \boldsymbol{H}=n F\left[T\left(\frac{\partial E}{\partial T}\right)_{P}-E\right] \)
D \( \quad E^{o}=\frac{R T}{n F} \ln K \)
Subject: Physics
A wave is measured to have a frequency of \( 60 H z \). If its wavelength is \( 24 c m \) determine how fast it is moving.
\( \mathbf{A} \cdot 24 m / s \)
в. \( 10 \mathrm{m} / \mathrm{s} \)
c. \( 12 m / s \)
D. \( 14 \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
What is the minimum \( p H \) required to
prevent the precipitation of \( Z n S \) in a
solution that is \( 0.01 M Z n C l_{2} \) and
saturated with \( 0.10 M H_{2} S ? \)
\( \left(\boldsymbol{K}_{s p} \boldsymbol{o} \boldsymbol{f} \boldsymbol{Z} \boldsymbol{n} \boldsymbol{S}=\mathbf{1 0}^{-21}, \boldsymbol{K}_{\boldsymbol{a}_{1}} \times\right. \)
\( \left.\boldsymbol{K}_{a_{2}} \boldsymbol{o} \boldsymbol{f} \boldsymbol{H}_{2} \boldsymbol{S}=\mathbf{1 0}^{-20}\right) \)
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot 2 \)
D. 4
Subject: Physics
An electron revolving in an orbit of
radius \( 0.5 \mathrm{A} \) in a hydrogen atom executes 10 revolutions per second. The
magnetic moment of electron due to its orbital motion will be
A \( \cdot 1256 \times 10^{-37} \) amp.m \( ^{2} \)
B. \( 653 \times 10^{-26} \) amp.m \( ^{\text {2 }} \)
c. zero
D. \( 256 \times 10^{-26} \) amp.m \( ^{2} \)
Subject: Physics
A motorcycle travelling on the highway at a speed of \( 120 k m / h \) passes a car travelling at a speed of \( 90 \mathrm{km} / \mathrm{h} \). From the point of view of a passenger on the car, what is the velocity of the motorcycle?
A. \( 43 k m / h \)
в. \( 23 k m / h \)
c. \( 30 k m / h \)
D. \( 29 k m / h \)
Subject: Physics
A bullet of mass \( \mathrm{X}, \) moving with a velocity \( V \), strikes a wooden block of mass \( Z \) and gets embedded. If the block
is free to move, its velocity after impact will be.
A \( \cdot \frac{X}{X+Z} \mathrm{v} \)
в. \( \frac{X+Z}{Z} \vee \)
c. \( \frac{x}{x-Z} V \)
D. \( \frac{X+Z}{X} V \)
Subject: Biology
Choose the correct combination of
labelling of stomatal apparatus of dicot
and monocot leaves.
A. a- epidermal cells, b- subsidiary cells, c- chloroplast
d- guard cells, e- stomatal aperture
B. a- epidennal cells, b- guard cells, c- chloroplast, dsubsidiary cells, e- stomatal aperture
C. a- epidermal cells, b- subsidiary cells, c- chloroplast
d- stomatal aperture, e- guard cells
D. a- subsidiary cells, b- epidermal cells, c- chloroplast
d- stomatal aperture, e- guard cells
E. a- guard cells, b- epidennal cells, c- stomatal aperturet, d- subsidiary cells, e- chloroplast
Subject: Biology
Which of the following is true for Krebs cycle?
A. Isocitrate \( \rightarrow \) Fumrate \( \rightarrow \alpha \) ketoglutarate
B. \( \alpha \) Ketoglutarate \( \rightarrow \) Oxalosuccinate \( \rightarrow \) Isocitrate
c. oxalosuccinate \( \rightarrow \) Isocitrate \( \rightarrow \alpha \) ketoglutarate
D. Isocitrate \( \rightarrow \alpha \) ketoglutarate \( \rightarrow \) Succinate
Subject: Physics
A uniform magnetic field of induction \( \boldsymbol{B} \)
is confined to a cylindrical region of radius \( R \). The magnetic field is
increasing at a constant rate of \( \boldsymbol{d B} / \boldsymbol{d t T} \)
\( s^{-1} . \) An electron placed at the point \( P \) on the periphery of the field, experiences an acceleration:
\( ^{\mathbf{A}} \cdot \frac{1}{2} \frac{e R}{m} \frac{d B}{d t} \) toward left
B. \( \frac{1}{2} \frac{e R}{m} \frac{d B}{d t} \) toward right
c. \( \frac{e R}{m} \frac{d B}{d t} \) toward left
D. zero
Subject: Maths
The maximum number of different
possible non-zero entries in a skew-
symmetric matrix of order 'n' is
A \( \cdot \frac{1}{2}\left(n^{2}-n\right) \)
B \( \cdot \frac{1}{2}\left(n^{2}+n\right) \)
\( c \cdot n^{2} \)
D. \( \left(n^{2}-n\right) \)
Subject: Maths
A rectangular plot \( 85 ~ m \) long and \( 60 m \)
broad is to be covered with grass leaving \( 5 m \) all around. Find the area to
be laid with grass.
A. 3750 sq. \( \mathrm{m} \)
B. 5750 sq. \( \mathrm{m} \)
c. 4750 sq. \( \mathrm{m} \)
D. 6750 sq.
Subject: Chemistry
Which one of the following is a secondary alkylhalide?
A \( \cdot\left(C H_{3}\right)_{3} C C l \)
B \( \cdot C_{2} H_{5} C l \)
c. \( \left(C H_{3}\right)_{2} C H C l \)
D. \( \left(C H_{3}\right)_{2} C H C H_{2} C l \)
Subject: Physics
Assertion
During rapid pumping of air in tyres, air inside the tyre is hotter than
atmospheric air.
Reason
Adiabatic process occurs at very high
rate
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
\( A \) and \( B \) are two independent events of
an experiment .if \( \boldsymbol{P}(\boldsymbol{n} \boldsymbol{o} \boldsymbol{t} \boldsymbol{B})= \)
\( \mathbf{0 . 6 5}, \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B})=\mathbf{0 . 8 5}, \) find \( \boldsymbol{P}(\boldsymbol{A}) \)
Subject: Maths
\( \mid \begin{array}{ccc}\mathbf{2} \boldsymbol{a}_{1} \boldsymbol{b}_{1} & \boldsymbol{a}_{1} \boldsymbol{b}_{1}+\boldsymbol{a}_{2} \boldsymbol{b}_{1} & \boldsymbol{a}_{1} \boldsymbol{b}_{3}+\boldsymbol{a}_{3} \boldsymbol{b}_{1} \\ \boldsymbol{a}_{1} \boldsymbol{b}_{2}+\boldsymbol{a}_{2} \boldsymbol{b}_{1} & \boldsymbol{2} \boldsymbol{a}_{2} \boldsymbol{b}_{2} & \boldsymbol{a}_{2} \boldsymbol{b}_{3}+\boldsymbol{a}_{3} \boldsymbol{b}_{2} \\ \boldsymbol{a}_{1} \boldsymbol{b}_{3}+\boldsymbol{a}_{3} \boldsymbol{b}_{1} & \boldsymbol{a}_{3} \boldsymbol{b}_{2}+\boldsymbol{b}_{3} \boldsymbol{a}_{2} & \boldsymbol{2} \boldsymbol{a}_{3} \boldsymbol{b}_{3}\end{array} \)
\( A \)
B.
\( \mathbf{c} \cdot a_{1} b_{1} a_{2} b \)
D. \( a_{1} b_{1}+a_{2} b_{2} \)
Subject: Maths
If \( \boldsymbol{x}-\frac{\mathbf{1}}{\boldsymbol{x}}=\mathbf{9}, \) the value of \( \boldsymbol{x}^{2}+\frac{\mathbf{1}}{\boldsymbol{x}^{2}} \) is
A. 83
B. 79
c. 11
D.
Subject: Maths
Find \( ^{\prime} x^{\prime} \) if
\( \left|\begin{array}{ccc}\mathbf{4} & \boldsymbol{x} & \mathbf{6} \\ \mathbf{2} & \mathbf{3} & \mathbf{4} \\ \mathbf{1} & \mathbf{1} & \mathbf{1}\end{array}\right|=\mathbf{1 0} \)
Subject: Chemistry
Select correct statement:
A. In the decomposition of an oxide, into oxygen and gaseous metal, entropy increases.
B. Decomposition of an oxide is an endothermic change.
C. To make \( \Delta G^{\circ} \) negative, temperature should be high
enough so that \( \mathrm{T} \Delta S^{\circ}>\Delta H^{\circ} \)
D. All of the above are correct statements.
Subject: Maths
The order and degree of the differential equation \( \sqrt{\frac{\boldsymbol{d y}}{\boldsymbol{d} \boldsymbol{x}}}-4 \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}-\boldsymbol{7} \boldsymbol{x}=\boldsymbol{0} \) are
Subject: Maths
If \( \left|\boldsymbol{x}^{2}-\mathbf{2} \boldsymbol{x}-\mathbf{8}\right|+\left|\boldsymbol{x}^{2}+\boldsymbol{x}-\mathbf{2}\right|= \)
\( \mathbf{3}|\boldsymbol{x}+\mathbf{2}|, \) then the set of all real values
of x is
в. [1,4]
\( \mathbf{c} \cdot[-2,1] \cup[4, \infty] \)
D. \( [-\infty,-2] \cup[1,4] \)