AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The reaction, \( 2 A(g)+B(g) \rightleftharpoons \)
\( \mathbf{3} C(\boldsymbol{g})+\boldsymbol{D}(\boldsymbol{g}), \) is begun with
concentration of \( A \) and \( B \) both at initial
value of \( 1 M . \) When equilibrium is
reached, the concentration of \( D \) is
measured and found to be \( 0.25 M . \) The
value for the equilibrium constant for this reaction is given by the expression:
\( \mathbf{A} \cdot\left[(0.75)^{3}(0.25)\right] \div\left[(1.00)^{2}(1.00)\right] \)
B \( \cdot\left[(0.75)^{3}(0.25)\right] \div\left[(0.50)^{2}(0.75)\right. \)
\( ^{\mathbf{C}} \cdot\left[(0.75)^{3}(0.25)\right] \div\left[(0.50)^{2}(0.25)\right] \)
D \( \cdot\left[(0.75)^{3}(0.25)\right] \div\left[(0.75)^{2}(0.25)\right] \)
Subject: Chemistry
\( \boldsymbol{A} \stackrel{\boldsymbol{H C N}}{\longrightarrow} \boldsymbol{B} \stackrel{\boldsymbol{H}_{3} \boldsymbol{O}^{+}}{\longrightarrow} \boldsymbol{L} \boldsymbol{a} \boldsymbol{c t i c} \boldsymbol{a c i d} \)
Identify \( \boldsymbol{A} \)
A. \( H C H O \)
в. \( C H_{3} C H O \)
с. \( C_{6} H_{5} \) СНО
D. \( C H_{3} \) СОСН \( _{3} \)
Subject: Physics
1 kg of cold water at \( 5^{\circ} \mathrm{C} \) is mixed with
\( 5 k g \) of hot water at \( 65^{\circ} \mathrm{C} \). Calculate the
final temperature of the water when it arrives at thermal equilibrium?
A \( \cdot 10^{\circ} \mathrm{C} \)
В. \( 15^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 35^{\circ} C \)
D. \( 55^{\circ} \mathrm{C} \)
E \( \cdot 60^{\circ} \mathrm{C} \)
Subject: Chemistry
Fill up the table from the given choice.
Element Oxidation number
-2 in most compounds
(i) in Oxygen \( \quad H_{2} O_{2} \) and
(ii) in \( O F_{2} \)
Halogen
- 1 for
(iii) in all its compounds
(iv) in most of its compounds Hydrogen
(v)in binary metallic hydrides
Sulphur
(vi) in all sulphides
\( \mathbf{A} \cdot(i)+1(i i)+1(i i i) C l(i v)+1(v)-1(v i)+2 \)
B. \( (i)-1(i i)+2(i i i) F(i v)+1(v)-1(v i)-2 \)
\( \mathbf{c} \cdot(i)-1(i i)+1(i i i) F(i v)+1(v)+2(v i)+2 \)
D. \( (i)+1(i i)+2(i i i) C l(i v)+1(v)+1(v i)+6 \)
Subject: Physics
A metal cube of side \( 10 \mathrm{cm} \) is subjected
to a shearing stress of \( 10^{4} N m^{-2} \). The modulus of rigidity if the top of the cube is displaced by \( 0.05 \mathrm{cm} \) with respect to its bottom is
A . \( 2 \times 10^{6} \mathrm{Nm}^{-2} \)
B. \( 10^{5} N m^{-2} \)
c. \( 1 \times 10^{7} N m^{-2} \)
D. \( 4 \times 10^{5} \mathrm{Nm}^{-2} \)
Subject: Maths
If \( A \) and \( B \) are two mutually exclusive
events such that \( P(A)=0.55 \) and
\( P(B)=0.35 \) then \( P(\bar{A} \cup \bar{B})= \)
A \( \cdot \frac{1}{4} \)
B.
\( c \)
D.
Subject: Physics
Three one dimensional mechanical
waves in an elastic medium is given as
and
\( \boldsymbol{y}_{1}=\mathbf{3} \boldsymbol{A} \sin (\boldsymbol{\omega} \boldsymbol{t}-\boldsymbol{k} \boldsymbol{x}) \)
\( \boldsymbol{y}_{2}=\boldsymbol{A} \sin (\boldsymbol{\omega} \boldsymbol{t}-\boldsymbol{k} \boldsymbol{x}+\boldsymbol{\pi}) \)
\( \boldsymbol{y}_{3}=2 \boldsymbol{A} \sin (\boldsymbol{\omega} \boldsymbol{t}+\boldsymbol{k} \boldsymbol{x}) \)
are superimposed with each other. The
maximum displacement amplitude of the medium particle would be
\( A \cdot 4 A \)
B. 3A
c. \( 2 A \)
D. A
Subject: Chemistry
Which of the following statements is
not correct for sigma-and pi- bonds
formed between two carbon atoms?
A. Sigma-bond is stronger than a pi-bond.
B. Bond energies of sigma- and pi-bonds are of the order of \( 264 \mathrm{KJ} / \mathrm{mol} \) and \( 347 \mathrm{KJ} / \mathrm{mol} \), respectively.
C. Free rotation of atoms about a sigma bond is allowed but not in case of a pi-bond.
D. Sigma-bond determines the direction between carbon atoms but a pi-bond has no primary effect in this regard.
Subject: Chemistry
In the reaction \( 4 N H_{3}+5 O_{2} \longrightarrow \)
\( 4 N O+6 H_{2} O, \) when one mole of
ammonia and one mole of oxygen are made to react to completion, then
A . 1.0 mole of \( H_{2} O \) is produced
B. All the oxygen is consumed
c. 1.5 mole of \( N O \) is formed
D. All the ammonia is consumed
Subject: Maths
The function \( f \) is defined as \( f(x)= \) \( \left\{\begin{array}{ll}x^{2}+a x+b, & \text { if } 0 \leq x<2 \\ 3 x+2, & \text { if } 2 \leq x \leq 4, \text { If } f \text { is } \\ 2 a x+5 b, & \text { if } 4<x \leq 8\end{array}\right. \)
continuous in [0,8] find the values of \( a \)
and \( b \)
Subject: Physics
A short electric dipole (which consists
of two point charges \( +\boldsymbol{q} \) and \( -\boldsymbol{q} \) ) is
placed at the centre 0 and inside a
large cube (ABCDEFGH) of length L, as shown in figure. The electric flux,
emanating through the cube is:
\( A \cdot q / 4 \pi \varepsilon_{0} L \)
B. zero
c. \( q / 2 \pi \varepsilon_{0} L \)
D \( \cdot q / 3 \pi \varepsilon_{0} L \)
Subject: Physics
Two identical particles each of mass
\( \mathrm{m} \) are projected from points \( \mathrm{A} \) and \( \mathrm{B} \) on
the ground with same initial speed \( u \)
making an angle \( \theta \) as shown in the
figure, such that their trajectories are
in the same vertical plane. The initial velocity of the centre of mass is
A . ucos \( \theta \)
B. 2u cos \( \theta \)
\( c \cdot u \sin \theta \)
D. 2u sin \( \theta \)
Subject: Maths
Solve the following linear programming problem graphically:
Maximize \( Z=7 x+10 y \)
subject to the constraints \( 4 x+6 y \leq 240 \)
\( 6 x+3 y \leq 240 \)
\( x \geq 10 \)
\( \boldsymbol{x} \geq \mathbf{0}, \boldsymbol{y} \geq \mathbf{0} \)
Subject: Chemistry
Which statement(s) is/are not correct
about the reaction?
\( \boldsymbol{H}_{2} \boldsymbol{O}_{2}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{I}^{-}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{H}^{+}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \)
\( \boldsymbol{I}_{2}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{O}(l) \boldsymbol{I}_{2}(\boldsymbol{a} \boldsymbol{q})+ \)
\( \mathbf{2} N a_{2} S_{2} O_{3} \rightarrow N a_{2} S_{4} O_{6}+2 N a I ? \)
This question has multiple correct options
A. The \( I_{2} \) formed is consumed completely in the second state is confirmed by addition of starch just before its complete consumption
B. The reaction process is called clock reaction because the appearance of blue colour on addition of starch is like an alarm given by clock
c. Sulphur is oxidised whereas iodine is oxidised and reduced during whole process
D. \( H_{2} O_{2} \) acts as reducing agent
Subject: Chemistry
How many electrons constitute current
of one micro ampere in one second?
\( \mathbf{A} \cdot 6.25 \times 10^{8} \)
B. \( 6.25 \times 10^{12} \)
\( \mathbf{C} \cdot 6.25 \times 10^{9} \)
D. \( 6.25 \times 10^{15} \)
Subject: Chemistry
The suitable reagent(s) will be:
A \( \cdot C r O / H_{2} O / \) acetone
\( \mathbf{B} \cdot\left[A g\left(N H_{3}\right)_{2}\right)^{\oplus}(\text {aqueous}), H^{+} \)
c. \( C r O / H C l / \) pyridine
\( D \)
соома
Subject: Physics
The pressure at the bottom of a tank of
water is \( 3 P \) where \( P \) is the atmospheric pressure. If the water is drawn out till
the level of water is lowered by one fifth, the pressure at the bottom of the tank will now be:
A \( .2 P \)
B. \( (13 / 5) P \)
c. \( (8 / 5) P \)
D. \( (4 / 5) P \)
Subject: Chemistry
Which is/are the correct IUPAC name(s)
of the corresponding structures? This question has multiple correct options
A. 3-(N-Ethylamino)-2-methylcyclohexan-1-ol
B. 3- (2-Aminoethyl)-2-methylcyclohexan-1-ol
c. Methyl 4-chlorocarbonyl-3-cyanobutanoate
D. Cyclohexanal
Subject: Maths
In the adjacent figure \( \mathrm{PQ} \) and \( \mathrm{RS} \) are two
mirrors placed parallel to each other. An incident ray \( \overrightarrow{A B} \) strikes the mirror \( \mathrm{PQ} \) at
B, the reflected ray moves along the path \( \overrightarrow{B C} \) and strikes the mirror RS at \( C \)
and again reflected back along \( \overrightarrow{C D} \) Prove that AB II CD.
Subject: Chemistry
Which of the following reactions is used
to make a fuel cell?
\( \mathbf{A} \cdot C d(s)+2 N i(O H)_{3}(s) \rightarrow C d O(s)+2 N i(O H)_{2}(s)+ \)
\( H_{2} O(l) \)
\( \mathbf{B} \cdot P b(s)+P b O_{2}(s)+2 H_{2} S O_{4}(a q) \rightarrow 2 P b S O_{4}(s)+ \)
\( 2 H_{2} O(l) \)
\( \mathbf{c} \cdot 2 H_{2}(g)+O_{2}(g) \rightarrow 2 H_{2} O(l) \)
D. \( 2 F e(s)+O_{2}(g)+4 H^{+}(a q) \rightarrow 2 F e^{2+}(a q)+2 H_{2} O(l) \)
Subject: Maths
A password for a computer system
requires exactly 6 characters. Each
character can be either one of the 26
letters from \( A \) to \( Z \) or one of the ten
digits from 0 to \( 9 . \) The first character
must be a letter and the last character
must be a digit. How many different possible passwords are there?
A \( \cdot \) Less than \( 10^{7} \)
B. Between \( 10^{7} \) and \( 10^{8} \)
C . Between \( 10^{8} \) and \( 10^{9} \)
D. Between \( 10^{9} \) and \( 10^{10} \)
E. More than \( 10^{10} \)
Subject: Chemistry
Assertion
At \( 25^{\circ} C \), the pH of \( 10^{-8} M \) HClis 8
Reason
pH of acidic solution is always below 7
\( \operatorname{at} 25^{\circ} C \)
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 the Reason is correct
Subject: Maths
If \( \sec ^{2} \theta=\frac{4}{3}, \) then the general solution
of \( \boldsymbol{\theta} \) is
\( \mathbf{A} \cdot 2 n \pi \pm \pi / 6 \)
в. \( 2 n \pi \pm \pi / 3 \)
c. \( n \pi \pm \pi / 6 \)
D. \( n \pi \pm \pi / 3 \)
Subject: Chemistry
The following data were obtained during the first order thermal composition of
\( S O_{2} C l_{2} \) at a constant volume.
\[
\boldsymbol{S} \boldsymbol{O}_{2} \boldsymbol{C l}_{2(\boldsymbol{g})} \rightarrow \boldsymbol{S} \boldsymbol{O}_{2(\boldsymbol{g})}+\boldsymbol{C l}_{2(\boldsymbol{g})}
\]
Total pres Experiment \( \quad \) Time \( / \) s \( ^{-1} \) (atm)
\[
0.5
\]
What is the rate of reaction when total
pressure is 0.65 atm?
A .0 .35 atm \( s^{-1} \)
В. \( 2.235 \times 10^{-3} \) atm \( s^{-1} \)
c. \( 7.8 \times 10^{-4} \) atm \( s^{-1} \)
D. \( 1.55 \times 10^{-4} \) atm \( s^{-1} \)
Subject: Chemistry
\( \boldsymbol{A} \rightleftharpoons \boldsymbol{B} . \) In this reaction \( \boldsymbol{k}_{f} \) is \( \boldsymbol{2} \times \mathbf{1 0}^{-3} \)
and \( k_{b} \) is \( 5 \times 10^{-4} . \) Determine the value
of \( \boldsymbol{K}_{c} \)
\( A \cdot 4 \)
B. 3
\( c \cdot 6 \)
D. 7
Subject: Maths
Find the order and degree of the differential equations.
a) \( y^{\prime \prime}+3 y^{\prime}^{2}+y^{3}=0 \)
b) \( \left(\frac{d y}{d x}\right)^{2}+\frac{1}{d y d x}=2 \)
c) \( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}+\boldsymbol{4} \boldsymbol{y}=\mathbf{0} \)
Subject: Physics
The bulk modulus of water is \( 2.1 \times \)
\( 10^{9} N / m^{2} . \) The pressure required to
increase the density of water by \( 0.1 \% \)
is:-
A \( \cdot 2.1 \times 10^{5} N / m^{2} \)
B . \( 2.1 \times 10^{3} N / m^{2} \)
C \( \cdot 2.1 \times 10^{6} N / m^{2} \)
D. \( 2.1 \times 10^{7} N / m^{2} \)
Subject: Chemistry
\( 13.8 g \) of \( N_{2} O_{4} \) was placed in a \( 1 L \)
reaction vessel at \( 400 K \) and allowed
attain equibrium \( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g) \)
The total pressure at equilibrium was
found to be 9.15 bar. Calculate \( K_{c}, K_{p} \) and partial pressure at equilibrium.
Subject: Physics
Two coils have a mutual inductance of
\( 0.005 H . \) The current changes in the first coil according to equation \( \boldsymbol{I}= \)
\( I_{0} \)sin\( \omega t, \) where \( I_{0}=10 A \) and \( \omega= \)
100 \( \pi \) rad / s. The maximum value of emf
(in volt) in the second coil is.
A . \( 2 \pi \)
в. \( 5 \pi \)
c. \( \pi \)
D. \( 4 \pi \)
Subject: Maths
If \( A \) and \( B \) are two events, such that \( P(A \)
or \( \mathrm{B} \) ) \( =\mathrm{P}(\mathrm{A}), \) then
A. events A and B are mutually exclusive
B. events A and B are statistically independent
c. event B is a subset of event A
D. event A is a subset of event B
Subject: Physics
Protons move rectilinearly in the region
of space where there are uniform
mutually perpendicular electric and magnetic fields \( \mathrm{E} \) and B.The trajectory
of protons lies in the plane \( x z \) as shown
in the figure and forms an angle \( \theta \) with
X-axis.Find the pitch of the helical
trajectory along which the protons will
move after the electric field is switched
off.
Subject: Chemistry
What atomic number of an element \( \boldsymbol{X} \)
would have to become so that the \( 4 t h \)
orbit around \( X \) would fit inside the 1 st
Bohr orbit of \( \boldsymbol{H}- \) atom?
\( A \cdot 3 \)
B. 4
\( c \cdot 16 \)
D. 25
Subject: Physics
Two bodies \( A \) and \( B \) have masses \( 20 k g \)
and \( 5 ~ k g \) respectively. Each one is acted
upon by a force of 4 kg wt. If they acquire the same kinetic energy in times \( t_{A} \) and \( t_{B}, \) then the ratio \( \frac{t_{A}}{t_{B}} \) is:
A \( \cdot \frac{1}{2} \)
B. 2
\( c \cdot \frac{2}{5} \)
D. \( \frac{5}{6} \)
Subject: Chemistry
Formation of \( N i(C O)_{4} \) and subsequent
its decomposition into Ni and CO (recycled) makes the basis of Monds process \( N i+4 C O \stackrel{T_{1}}{\rightarrow} N i(C O)_{4} \stackrel{T_{2}}{\longrightarrow} \)
\( N i+4 C O \)
\( T_{1} \) and \( T_{2} \) are:
A \( \cdot 100^{\circ} \mathrm{C}, 50^{\circ} \mathrm{C} \)
B . \( 50^{\circ} \mathrm{C}, 100^{\circ} \mathrm{C} \)
c. \( 50^{\circ} \mathrm{C}, 230^{\circ} \mathrm{C} \)
D. \( 230^{\circ} \mathrm{C}, 50^{\circ} \mathrm{C} \)
Subject: Physics
A bullet of mass \( 1 \times 10^{-2} k g \) moving
horizontally with a velocity of \( 2 \times \) \( 10^{2} m s^{-1} \) strikes a block of mass
\( 1.99 k g \) and gets embedded into it. If the
coefficient of kinetic friction between
the block and the horizontal surface is
\( 0.25, \) then the distance moved by the block with the bullet before coming to rest is
A. \( 0.4 \mathrm{m} \)
в. \( 0.8 \mathrm{m} \)
\( c \cdot 0.6 m \)
D. \( 0.2 \mathrm{m} \)
Subject: Chemistry
The \( p K_{a} \) of \( \mathrm{HCN} \) is \( 9.30 . \) The pH of a
solution prepared by mixing 2.5 moles
of KCN and 2.5 moles of HCN in water
and making up the total volume of 500 \( \mathrm{ml} \) is:
A . 9.30
B. 7.30
c. 10.30
D. 8.30
Subject: Physics
The armature of a generator of resistance \( 1 \Omega \) is rotated at its rated
speed and produces \( 125 V \) without load
and \( 115 V \) with full load. The current in
the armature coil is
\( \mathbf{A} \cdot 240 A \)
в. \( 10 A \)
\( c .1 A \)
D. \( 2 A \)
Subject: Chemistry
toppr
Q Type your question
At the point of intersection of \( A l_{2} U_{3} \) and
\( M g O \) curves \( (A), \triangle G^{0} \) becomes zero for
the reaction,
\( \frac{2}{3} A l_{2} O_{3}+2 M g \rightarrow+\frac{4}{3} A l \)
Below this point, magnesium can
reduce alumina. Although
thermodynamically feasible, Al is not
used for reduction of \( M g O \) because:
A. temperature required is very highh
B. the yields of metal is very low
c. the value of \( \triangle G^{0} \) becomes positive
D. magnesium is not used as reducing agent for any
Subject: Maths
If \( D_{P}=\left|\begin{array}{ccc}\boldsymbol{P} & \mathbf{1 5} & \mathbf{8} \\ \boldsymbol{P}^{2} & \mathbf{3 5} & \mathbf{9} \\ \boldsymbol{P}^{3} & \mathbf{2 5} & \mathbf{1 0}\end{array}\right|, \) then \( \boldsymbol{D}_{1}+ \)
\( D_{2}+D_{3}+D_{4}+D_{5} \) is equal to
A. -29000
в. -25000
c. 25000
D. none of these
Subject: Maths
The equation of the circumcircle of the triangle formed by the lines \( y+\sqrt{3} x= \) \( \mathbf{6}, \boldsymbol{y}-\sqrt{\mathbf{3}} \boldsymbol{x}=\mathbf{6} \) and \( \boldsymbol{y}=\mathbf{0} \) is
A \( \cdot x^{2}+y^{2}+4 x=0 \)
В. \( x^{2}+y^{2}-4 y=0 \)
c. \( x^{2}+y^{2}-4 y=12 \)
D. \( x^{2}+y^{2}+4 x=12 \)
Subject: Physics
A radio-controlled toy car travels along a
straight line for a time of \( 15 s \). The
variation with time \( t \) of the velocity v of the car is shown.

What is the average velocity of the toy
car for the journey shown by the graph?
A. \( -1.5 m s^{-1} \)
B. \( 0.0 m s^{-1} \)
c. \( 4.0 m s^{-1} \)
D. \( 4.5 m s^{-1} \)
Subject: Physics
Two metallic spheres of radii \( 2 \mathrm{cm} \) and
\( 6 \mathrm{cm} \) are given charge \( 3 \times 10^{-2} \mathrm{C} \) and
\( 7 \times 10^{-2} C, \) respectively. If these are
connected by a conducting wire, the final charge on the bigger sphere is
Subject: Physics
A man of height \( 170 \mathrm{cm} \) wants to see his complete image in the mirror (while standing) His eyes is at a height of 160 \( \mathrm{cm} \) from the ground
A. Minimum length of the mirror =80 cm
B. Minimum length of the mirror =85 cm
c. Bottom of the mirror should be at a height \( 80 \mathrm{cm} \)
D. Bottom of the mirror should be at a height \( 85 \mathrm{cm} \)
Subject: Chemistry
Assertion
Suger and alcohols are soluble in water
Reason

They have \( \boldsymbol{O}-\boldsymbol{H} \) bonds which bind to
water by hydrogen bonding
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
At \( 25^{\circ} C \lambda_{\infty}\left(H^{+}\right)=3.4982 \times \)
\( 10^{-2} S m^{2-1} \lambda_{\infty}\left(O H^{-}\right)=1.98 \times \)
\( 10^{-2} \mathrm{Sm}^{2-1} \)
Given: Sp. conductance \( =\mathbf{5 . 1} \times \)
\( 10^{-6} S m^{-1} \) for \( H_{2} O, \) determine \( p H \) and
\( \boldsymbol{K}_{\boldsymbol{w}} \)
Subject: Maths
If value of \( \mathbf{x} \) which satisfy equation
\( \left(\cot ^{-1} x\right)^{2}-3\left(\cot ^{-1} x\right)+2>0 \) is \( x< \)
\( \cot a \) or \( x>\cot b \)
Find the value of \( a+b \)
A . 1
B. 2
\( c .3 \)
D. 4
Subject: Maths
PQRS is the diameter of a circle of
radius 3 cm. The lengths PQ, QR and RS
are equal. Find the area of the shaded
portion
\( \mathbf{A} \cdot 2 \pi c m^{2} \)
в. \( \frac{5 \pi}{2} \mathrm{cm}^{2} \)
c. \( \frac{9 \pi}{2} c m^{2} \)
D. \( \frac{11 \pi}{2} c m^{2} \)
Subject: Physics
Four metallic plates each with a surface
area of one side \( A, \) are placed at a
distance \( d \) from each other. The two
outer plates are connected to one point
\( A \) and the two other inner plates to
another point \( B \) as shown in the figure.
Then the capacitance of the system is :
\( A \cdot \frac{\epsilon_{0} A}{d} \)
в. \( \frac{2 \epsilon_{0} A}{d} \)
c. \( \frac{3 \epsilon_{0} A}{d} \)
D. \( \frac{4 \epsilon_{6} A}{d} \)
Subject: Chemistry
Which of the following compounds is
expected to be optically active?
\( \mathbf{A} \cdot\left(C H_{3}\right)_{2} C H C H O \)
в. \( C H_{3} C H_{2} C H_{2} C H O \)
c. \( C H_{3} C H_{2} C H(B r) C H O \)
D. \( C H_{3} C H_{2} C B r_{2} C H O \)
Subject: Biology
Refer to the given diagrammatic representation of the mechanism of
action of a protein hormone. In which of the following options correct labelling of \( A, B, \) and \( C \) is given?
A. A-Generation of second messenger, B-Physiological responses, C-Biochemical responses
B. A-Activation of genes, B-Biochemical responses, CGeneration of second messenger
C. A-Generation of second messenger, B-Biochemical responses, C-Physiological responses
D. A-Biochemical responses, B-Activation of genes, C- Physiological responses
Subject: Physics
If both the objects have the same PE
curve as shown in the figure, then
A . For objects having total energy \( E_{2} \), all values of r are possible
B. For the object having total energy \( E_{2} \), values of \( r<r_{0} \)
are only possible
C. For the object having total energy \( E_{1} \), all values of rare possible
D. None of the above
Subject: Maths
In fig. find the values of \( x \) and \( y \) and \( t \)
Show that \( \boldsymbol{A B} \| \boldsymbol{C D} \)
A. \( x=100 \) and \( y=130 \)
B . \( x=230 \) and \( y=130 \)
c. \( x=130 \) and \( y=130 \)
D. None of these
Subject: Maths
If the point \( \left(\boldsymbol{x}_{1}+\boldsymbol{t}\left(\boldsymbol{x}_{2}-\boldsymbol{x}_{1}\right), \boldsymbol{y}_{1}+\right. \)
\( \left.t\left(y_{2}-y_{1}\right)\right) \) divides the join of \( \left(x_{1}, y_{1}\right) \)
and \( \left(x_{2}, y_{2}\right) \) internally, then
A. \( t<0 \)
B. \( 0<t<1 \)
c. \( t>1 \)
D. \( t=1 \)
Subject: Chemistry
When a drop of an unknown solution is
placed on a strip of \( p H \) paper, a deep red colour is produced. This sample should be which one of the following?
A. \( N a O H \)
в. НС l
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{O} \)
D. \( C H_{3} \) СООН
Subject: Physics
To convert \( _{90} T h^{232} \) into \( _{90} T h^{228}, \) the least
number of \( \alpha \) and \( \beta \) particles that have
to be emitted are
respectively.
\( A \cdot 1,1 \)
B. 2,
\( c \cdot 1,2 \)
D. 2, 2
Subject: Physics
A mass slides down an inclined plane and reaches the bottom with a velocity
\( v . \) If the same mass is in the form of a
disc and rolls down the same inclined
plane, what will be its velocity at the bottom?
A \( . v \)
B. \( \sqrt{\frac{2}{3}} \)
\( c \cdot \sqrt{2} v \)
D. \( \frac{v}{\sqrt{2}} \)
Subject: Maths
Find the root of the quadratic equation
\( x^{2}+2 \sqrt{2 x}+6=0 \) by using the
quadratic formula
A . \( x=\sqrt{2} \pm 2 i \)
B. \( x=-\sqrt{2} \pm 2 i \)
c. \( x=-\sqrt{4} \pm 2 i \)
D. \( x=-\sqrt{2} \pm 4 i \)
Subject: Maths
Let \( a, b, c \) be such that
\[
\frac{1}{(1-x)(1-2 x)(1-3 x)}=\frac{a}{1-x}+
\]
\( \frac{b}{1-2 x}+\frac{c}{1-3 x} \) then \( \frac{a}{1}+\frac{b}{3}+\frac{c}{5}= \)
A \( \cdot \frac{1}{15} \)
B. \( \frac{1}{6} \)
\( c \cdot \frac{1}{5} \)
D. 1 \( \overline{3} \)
Subject: Maths
Solve: \( \sin \left(\tan ^{-1} x\right),|x|<1 \) is equal to
A \( \cdot \frac{x}{\sqrt{1-x^{2}}} \)
в. \( \frac{1}{\sqrt{1-x^{2}}} \)
c. \( \frac{1}{\sqrt{1+x^{2}}} \)
D. \( \frac{x}{\sqrt{1+x^{2}}} \)
Subject: Physics
An aluminium wire and steel wire of the
same length and cross section are
joined end to end.The composite wire is hung from a rigid support and a load is suspended from the free end.

The young's modulus of steel is \( 20 / 7 \) times the aluminium. The ratio of
increase of length of steel and aluminium is
A \( .20 / 7 \)
в. \( 400 / 49 \)
\( c \cdot 7 / 20 \)
D. \( 49 / 400 \)
Subject: Maths
Two numbers are in the ratio \( 1 \frac{1}{2}: 2 \frac{2}{3} \)
But if each number is increased by 15 then the ratio becomes \( 1 \frac{2}{3}: 2 \frac{1}{2} . \) The
numbers are
\( \mathbf{A} \cdot 27,42 \)
B . 36,48
c. 27,48
D. 27,36
Subject: Chemistry
Which of the following represents
increasing order of ionic conductance?
\( \mathbf{A} \cdot F^{-}<C l^{-}<B r<I^{-} \)
B \( \cdot I^{-}<B r^{-}<F^{-}<C l^{-} \)
\( \mathbf{c} \cdot F^{-}<C l^{-}<I^{-}<B r^{-} \)
D \( \cdot F^{-}<I^{-}<C l^{-}<B r^{-} \)
Subject: Maths
If \( A \) and \( B \) are two events, then which of
the following does not represent the
probability that exactly one of \( A, B \)
occurs is
This question has multiple correct options
\( \mathbf{A} \cdot P(A)+P(B)-P(A \cap B) \)
B \( \cdot P\left(A \cap B^{\prime}\right)+P\left(A^{\prime} \cap B\right) \)
\( \mathbf{c} \cdot P\left(A^{\prime}\right)+P\left(B^{\prime}\right)-2 P\left(A^{\prime} \cap B^{\prime}\right) \)
D \( . P(A)+P(B)-2 P(A \cap B) \)
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x}) \) be a polynomial of degree three
satisfying \( \boldsymbol{f}(\mathbf{0})=-\mathbf{1} \) and \( \boldsymbol{f}(\mathbf{1})=\mathbf{0} \)
Also, 0 is a stationary point of \( f(x) \). If
\( f(x) \) does not have an extremum at \( x=0, \) then \( \int \frac{f(x)}{x^{3}-1} d x \) is equal to
A \( \cdot \frac{x^{2}}{2}+c \)
B. \( x+c \)
c. \( \frac{x^{3}}{6}+c \)
D. None of these
Subject: Chemistry
\( C_{6} H_{5} N_{2} C l \stackrel{H B F_{4}}{\longrightarrow} X \frac{C u}{N a N O_{2}} Y \)
Find out \( Y \) in this reaction.
A \( \cdot C_{6} H_{5} N O_{2} \)
в. \( C_{6} H_{6} \)
c. \( C_{6} H_{5} N H_{2} \)
D. \( C_{6} H_{5} C l \)
Subject: Chemistry
Which among the following are necessary and sufficient conditions for
spontaneous reactions.
\( A \cdot \Delta H=- \) ve only
B. \( \Delta \mathrm{S}= \) -ve only
c. Both \( \Delta \mathrm{H}=- \) -ve and \( \Delta \mathrm{S}=+\mathrm{ve} \)
D. \( \Delta G=+v e \)