AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Which statement represents the inverse of the statement "If it is snowing then
Skeeter wears a sweater"?
A. If Skeeter wears a sweater then it is snowing
B. If Skeeter does not wear a sweater then it is not snowing
C. If it is not snowing then Skeeter does not wear a sweater
D. If it is not snowing then Skeeter wears a sweater
Subject: Maths
If \( z=a+i b \) then its conjugate is \( a-i b \)
If \( 1, \omega, \omega^{2} \) are cube roots of unity then
(i) \( 1+\omega+\omega^{2}=\mathbf{0} \) (ii) \( \omega^{3}=1 \) The
conjugate of \( \frac{\mathbf{6}-\mathbf{3} i}{\mathbf{7}+\mathbf{i}} \) is
A \( \cdot \frac{39-27 i}{50} \)
в. \( \frac{-39+27 i}{50} \)
c. \( \frac{39+27 i}{50} \)
D. \( \frac{-39-27 i}{50} \)
Subject: Chemistry
Which of the following reactions show
the process of smelting?
\( \mathbf{A} \cdot 2 P b O+P b S \rightarrow 3 P b+S O_{2} \)
B \( \cdot 2 \operatorname{Na}\left[A u(C N)_{2}\right]+Z n \rightarrow N a_{2}\left[Z n(C N)_{4}\right]+2 A u \)
\( \mathbf{c} \cdot P b O+C \rightarrow P b+C O \)
D. \( 2 H g S+3 O_{2} \rightarrow 2 H g O+2 S O_{2} \)
Subject: Physics
Eight spherical rain drops of the same mass and radius are falling down with a
terminal speed of \( 6 \mathrm{cm} s^{-1} \). If they coalesce to form one big drop, what will be its terminal speed? Neglect the
buoyancy due to air:
A \( .1 .5 \mathrm{cm} \mathrm{s}^{-1} \)
B. \( 6 \mathrm{cms}^{-1} \)
c. \( 24 c m s^{-1} \)
D. \( 32 \mathrm{cms}^{-1} \)
Subject: Maths
\( M \) is the midpoint of side \( Q R \) of
\( \triangle P Q R . P S \perp Q R \) Prove that: \( P Q^{2}+ \)
\( \boldsymbol{P R}^{2}=\mathbf{2 P M}^{2}+\mathbf{2 Q} \boldsymbol{M}^{2} \)
Subject: Physics
Two wires are aligned side by side and both are hooked into different circuits
in which the current is switched on to
allow current to flow in each circuit.
Identify the correct statement.
A. The two currents destructively with each other
B. The two currents constructively interfere with each other
c. The two wires attract and move closer
D. The two wires repel and move away
E. The two wires remain still
Subject: Physics
The mass of the moon is \( \frac{1}{81} \) of the earth
but the gravitational pull is \( \frac{1}{6} \) of the
earth. It is due to the fact that
A the radius of earth is \( \frac{9}{\sqrt{6}} \) of the moon
B. The radius of moon is \( \frac{81}{6} \) of the eartt
c. Moon is the satellite of the earth
D. None of the above
Subject: Chemistry
Which one of the following statements
is incorrect?
A. Specific conductivity decreases with dilution
B. Equivalent and molar conductivities increases with dilution
\( \mathrm{C} \cdot \Lambda_{m}^{o} \) for a weak electrolyte cannot be found by
extrapolation of \( \Lambda_{m} \) to zero concentration
D. Molar conductivity of a strong electrolyte increases with dilution because ionization increases with dilution
Subject: Chemistry
Assertion
The superoxide \( M O_{2} \) contains the
paramagnetic ion \( \boldsymbol{O}_{\mathbf{2}}^{-} \)
Reason
\( O_{2}^{-} \) is stable in presence of large
cations as \( \boldsymbol{K}, \boldsymbol{R} \boldsymbol{b}, \boldsymbol{C} \boldsymbol{s} \)
Read the above assertion and reason
and choose the correct option regarding
¡t.
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
A force of \( 400 N \) exerts a pressure of
\( 20 N / c m^{2} . \) What is the area on which
the force acts?
\( \mathbf{A} \cdot 20 m^{2} \)
B. \( 20 \mathrm{cm}^{2} \)
\( \mathrm{c} \cdot 1 \mathrm{cm}^{2} \)
D. \( 10 \mathrm{cm}^{2} \)
Subject: Chemistry
Which of the following is correct IUPAC name of compound? \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H}=\boldsymbol{C H}-\boldsymbol{C H}_{3} \)
A. Pent-2-ene
B. Prop-1-en-2-yne
c. 1-Methylpropane
D. Pen-4-ene
Subject: Maths
If the sum to \( n \) terms of an AP is
\( \frac{4 n^{2}-3 n}{4} \) then the \( n^{t h} \) term of the AP is equal to
A \( \cdot \frac{5 n-1}{4} \)
в. \( \frac{8 n-7}{4} \)
c. \( \frac{3 n^{2}-2}{4} \)
D. \( \frac{7 n-8}{4} \)
Subject: Physics
A small signal voltage \( V(t)=V_{0} \sin \omega t \)
is applied across an ideal capacitor \( \boldsymbol{C} \)
Then:
A . current \( I(t) \), lags voltage \( V(t) \) by \( 90^{\circ} \)
B. over a full cycle the capacitor \( C \) does not consume any energy from the voltage source
c. current \( I(t) \) is in phase with voltage \( V(t) \)
D. current \( I(t) \) leads voltage \( V(t) \) by \( 180^{\circ} \)
Subject: Maths
ff \( a \) and \( b \) unit vectors inclined at an
angle \( \theta \), then prove that :
\( \tan \frac{\boldsymbol{\theta}}{\mathbf{2}}=\frac{|\hat{\boldsymbol{a}}-\hat{\boldsymbol{b}}|}{|\hat{\boldsymbol{a}}+\hat{\boldsymbol{b}}|} \)
Subject: Chemistry
The \( S-S \) bond energy is:
\( \Delta \boldsymbol{H}_{f}^{o}(\boldsymbol{E} \boldsymbol{t}-\boldsymbol{S}-\boldsymbol{E} \boldsymbol{t})=-\mathbf{1 4 7 k J} / \boldsymbol{m o l} \)
\( \boldsymbol{\Delta} \boldsymbol{H}_{f}^{o}(\boldsymbol{E} \boldsymbol{t}-\boldsymbol{S}-\boldsymbol{S}-\boldsymbol{E} \boldsymbol{t})= \)
\( -202 k J / m o l \)
\( \Delta H_{f}^{o} S(g)=+223 k J / m o l \)
\( \mathbf{A} \cdot 168 k J \)
в. \( 126 k J \)
c. \( 278 k J \)
D. \( 575 k J \)
Subject: Physics
In the electrical network, at \( t<0 \) (as
given in the figure), key is placed on (1)
till the capacitor got fully charged. Key
is placed on (2) at \( t=0 . \) Time when the
energy in both the capacitor and the
inductor will be same for the first time
is
A \( \cdot \frac{\pi}{4} \sqrt{L C} \)
B. \( \frac{3 \pi}{4} \sqrt{L C} \)
C \( \cdot \frac{\pi}{3} \sqrt{L C} \)
D. \( \frac{2 \pi}{3} \sqrt{L C} \)
Subject: Physics
A battery having an emf of 12 Volt and an internal resistance of \( 2 \Omega \) is
connected to another battery having an
emf of 18 Volt and an internal
resistance of \( 2 \Omega \) in such a way that they
are opposing each other and the circuit is closed. Calculate the following.
1. Current flowing in the circuit.
2. Electrical power in the two batteries.
3.Terminal voltage of the two batteries.
4. Electric power consumed in the batteries.
Subject: Chemistry
standard reduction potential of oxidant standard reduction potential of
reductant is more than \( 1.7 V \) then their
combination lead to explosion though it may be prevented by kinetic factors.
Now go through the following data and
answer the questions.
\( \boldsymbol{E}_{A \boldsymbol{g}^{+} / \boldsymbol{A} \boldsymbol{g}}^{\boldsymbol{0}}=\boldsymbol{0 . 8 0} \boldsymbol{V} \)
\( E_{C l O_{4}^{-} / C l O_{3}^{-}}^{0}=1.23 V \)
\( \boldsymbol{E}_{\boldsymbol{F} e^{3+} / \boldsymbol{F} e^{2+}}^{\boldsymbol{0}}=\boldsymbol{0 . 7 7} \boldsymbol{V} \)
\( \boldsymbol{E}_{\boldsymbol{M n O}_{\mathbf{4}}^{-} / \boldsymbol{M n}^{3+}}=\mathbf{1 . 5 4} \boldsymbol{V} \)
\( \boldsymbol{E}_{N_{2} / N_{3}^{-}}^{0}=-\mathbf{3 . 0 9} \boldsymbol{V} \)
\( \boldsymbol{E}_{N a^{+} / N a}^{0}=-2.17 V \)
\( \boldsymbol{E}_{O_{2} / \boldsymbol{H}_{2} \boldsymbol{O}_{2}}^{0}=-\mathbf{1 . 0 3} \boldsymbol{V} \)
Which of the following ionic
combinations may lead to the formation
of explosive substance?
A. Sodium ion and azide ion
B. Silver ion and perchlorate ion
c. Silver ion and azide ion
D. All the above
Subject: Maths
Rolle's theorem cannot be applicable
for:
A \( \cdot f(x)=\cos x-1 \) in \( (0,2 \pi) \)
B - \( f(x)=x(x-2)^{2} \) in (0,2)
c. \( f(x)=3+(x-1)^{\frac{3}{5}} \) in (0,3)
D. \( f(x)=\sin ^{2} x \) in \( (0, \pi) \)
Subject: Maths
If the coefficient of the middle term in
the expansion of \( (1+x)^{2 n+2} \) is \( p \) and
the coefficients of middle terms in the
expansion of \( (1+x)^{2 n+1} \) are \( q \) and \( r \)
then
A \( . p+q=r \)
В. \( p+r=q \)
\( \mathbf{c} \cdot p=q+r \)
D. \( p+q+r=0 \)
Subject: Physics
Two radioactive materials \( X_{1} \) and \( X_{2} \)
have decay constants \( 10 \lambda \) and \( \lambda \) respectively. If finally they have the same number of nuclei, then the ratio of
the number of nuclei of \( X_{1} \) to that of \( X_{2} \)
will be \( 1 / \) e after a time
A. \( \frac{1}{10 \lambda} \)
в. \( \frac{1}{11 \lambda} \)
c. \( \frac{11}{10 \lambda} \)
D. \( \frac{1}{9 \lambda} \)
Subject: Physics
A solid conducting sphere having a
charge \( Q \) is surrounded by an
uncharged concentric conducting spherical shell. Let the potential difference between the surface of the
solid sphere and that of the outer surface of the shell be \( V \). If the shell is
now given a charge of \( -3 Q . \) Find out the
new potential difference between the
two surface is:
\( \mathbf{A} \cdot V \)
B. \( 2 V \)
c. \( 4 V \)
\( \mathbf{D} \cdot-2 V \)
Subject: Chemistry
Z-average molar mass \( \left(\bar{M}_{z}\right) \) is defined
as:
\( ^{\mathbf{A}} \cdot \frac{\sum N i M i^{2}}{\sum N i M i} \)
B. \( \frac{\sum N i M i}{\sum N i} \)
c. \( \frac{\sum N i M i^{3}}{\sum N i M i^{2}} \)
D. \( \frac{\sum N i M i^{3}}{\sum N i M i} \)
Subject: Physics
A wire bent as shown in Figure carries a current \( I \). Find the magnetic field at \( P: \)
A \( \frac{\mu_{0}}{4} \)
в. \( \frac{3 \mu_{0}}{2 R} \)
c. \( \frac{7 \mu_{0} I}{8 R} \)
D. \( \frac{\mu_{0}}{8_{D}} \)
Subject: Maths
Ali purchased a printer for \( R s .80,000 \)
After spending \( R s .5000 \) on repair and
Rs.1000 on a new part, he sold it at
\( 25 \% \) profit. At what price did he sell the printer?
A. \( R s .1,07,000 \)
в. \( R s .1,07,500 \)
c. \( R s .1,08,500 \)
D. Rs.2, 09,200
Subject: Physics
Assertion
According to Newton's law, good conductors of electricity are also good conductors of heat.
Reason
At a given temperature, \( e_{\lambda} \propto a_{\lambda} \) for any
body
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
Two small identical conducting balls \( A \) and \( \mathrm{B} \) of charges \( +10 \mu \mathrm{C} \) and \( +30 \mu \mathrm{C} \) respectively, are kept at a separation of \( 50 \mathrm{cm} . \) These balls have been connected by a wire for a short time. The final
charge on each of the balls \( A \) and \( B \) will
be:
A \( . \) 10 \( \mu \mathrm{C} \) and \( 30 \mu \mathrm{C} \), respectively
B. 20 \muC on each ball
c. \( 30 \mu \mathrm{c} \) and \( 10 \mu \mathrm{C} \), respectively
D. -40 \muC and 80 \muC, respectively
Subject: Maths
The A.M. of the observations
\( \mathbf{1} . \mathbf{3 . 5}, \mathbf{3 . 5 . 7}, \mathbf{5 . 7 . 9}, \ldots,(\mathbf{2 n}-\mathbf{1})(\mathbf{2 n}+ \)
1) \( (2 n+3) \) is \( (\forall n \in N) \)
A \( \cdot 2 n^{3}+6 n^{2}+7 n-2 \)
В \( \cdot n^{3}+8 n^{2}+7 n-2 \)
c. \( 2 n^{3}+5 n^{2}+6 n-1 \)
D. \( 2 n^{3}+8 n^{2}+7 n-2 \)
Subject: Chemistry
Regarding the uses of hydrogen
I) It is used in the synthesis of
ammonia.
Il) It is used as reducing agent in the
extraction of tungsten.
III) It is the source of solar energy.
IV) It is the major fuel in nuclear
reactors.
The correct statements are:
\( \mathbf{A} \cdot \) ।, ॥ and \( \| 1 \)
B. II and III
c. ॥, ॥ा and IV
D. All are correct
Subject: Maths
Based on cross-multiplication method, solve the following pair of equations by cross multiplication rule \( \mathbf{5} \boldsymbol{x}+\mathbf{3} \boldsymbol{y}=\mathbf{3 5}, \mathbf{2} \boldsymbol{x}+\mathbf{4} \boldsymbol{y}=\mathbf{2 8} \)
Then
A. \( x=4, y=5 \)
B. \( x=5, y=4 \)
c. \( x=6, y=3 \)
D. \( x=3, y=6 \)
Subject: Physics
A rain drop starts falling from a height of \( 2 k m . \) It falls with a continuously decreasing acceleration and attains its terminal
velocity at a height of \( 1 k m . \) The ratio of
the work done by the gravitational force in the first half to the that in the second
half to the drops journey is
A. 1: 1 and the time of fall of the drop in the two halves is \( a: 1 \text { (where } a>1) \)
B. 1: 1 and the time of fall of the drop in the two halves is
\( a: 1 \text { (where } a<1) \)
c. \( a: 1 \) (where \( a>1 \) ) and the time of fall of the drop in
the two halves is 1: 1
D. \( a: 1 \) (where \( a<1 \) ) and the time of fall of the drop in the two halves is 1: 1
Subject: Chemistry
The compound \( l-(N-\text {ethyl}-N- \)
methyl \( )- \) propanamine forms non-
superimposable mirror images. But this compound does not show optical activity because of the:
A. Absence of a chiral N atom
B. Presence of chiral N atom
c. Presence of lone pair on \( \mathrm{N} \) atom
D. Rapid flipping of one form into the other
Subject: Physics
When a ball of mass 5 kg hits a bat with a velocity of \( 3 \mathrm{m} / \mathrm{s}, \) in a positive direction and it moves back with a
velocity of \( 4 \mathrm{m} / \mathrm{s}, \) find the impulse in \( \mathrm{S} \) units.
A. 5
B . 15
\( c \cdot 25 \)
D. 35
Subject: Physics
carrying a current \( \boldsymbol{I} \) A. Three
circular Amperian loops 1,2 and 3 are
shown by dashed lines. Point \( P \) is an
interior point. Point \( Q \) is an exterior
point. What is the magnetic field due to
the toroid at points \( P \) and \( Q \)
respectively?
A . 0,0
В \( \cdot 0, \mu_{o}, n \)
C \( \cdot \mu_{o} n I, \mu_{o} n I \)
\( \mathbf{D} \cdot \mu_{o} n I, 0 \)
Subject: Physics
A water drop of radius \( 10^{-6} \mathrm{m} \) is charged with one electron. The electric
field required to keep it stationary is (given density of water \( \boldsymbol{\rho}= \)
\( \mathbf{1 0 0 0 k g} / \boldsymbol{m}^{3} ; \boldsymbol{g}=\mathbf{9 . 8 m} / \boldsymbol{s}^{2} \)
A \( .2 .566 \times 10^{5} V / m \)
B . \( 1.283 \times 10^{5} \mathrm{V} / \mathrm{m} \)
c. \( 3.849 \times 10^{5} \mathrm{V} / \mathrm{m} \)
D. \( 5.132 \times 10^{5} \mathrm{V} / \mathrm{m} \)
Subject: Maths
The \( n^{t h} \) term of the sequence
\( \frac{1}{100}, \frac{1}{10000}, \frac{1}{1000000}, \dots \dots \) is
A \( \cdot(1000)^{n} \)
B. \( 10^{2 n} \)
\( c \cdot 10^{-2 n} \)
D. \( 10^{-n} \)
Subject: Chemistry
A compound contains \( C=90 \% \) and
\( \boldsymbol{H}=\mathbf{1 0 \%} . \) Empirical formula of the
compound is :
A. \( C_{15} H_{30} \)
в. \( C_{15} \mathrm{H}_{20} \)
\( \mathbf{c} \cdot C_{3} H_{4} \)
D. \( C_{3} H_{10} \)
Subject: Physics
The figure shows a conducting ring of radius \( R \). A uniform steady magnetic
field \( B \) lies perpendicular to the plane of
the ring in a circular region of radius \( r(<R) . \) If the resistance per unit length
of the ring is \( \lambda \), then the current induced
in the ring when its radius gets doubled
is
\( ^{A} \cdot \frac{B R}{\lambda} \)
B. \( \frac{2 B R}{\lambda} \)
\( \mathbf{c} . \) zero
D. \( \frac{B r^{2}}{4 R \lambda} \)
Subject: Physics
The box of a pinhole camera of length \( L \) has a hole of radius a. It is assumed that when the hole is illuminated by a
parallel beam of light of wavelength \( \lambda \) the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size say
\( \boldsymbol{b}_{m i n} \) when:
\( ^{\mathrm{A}} \cdot_{a}=\frac{\lambda^{2}}{L} \) and \( b_{\min }=\frac{2 \lambda^{2}}{L} \)
B. \( a=\sqrt{\lambda L} \) and \( b_{\min }=\frac{2 \lambda^{2}}{L} \)
C \( . a=\sqrt{\lambda L} \) and \( b_{\min }=\sqrt{4 \lambda L} \)
D. \( a=\frac{\lambda^{2}}{L} \) and \( b_{m i n}=\sqrt{4 \lambda L} \)
Subject: Maths
Given two independent events \( A, B \)
such that \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 3}, \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 6} \)
Determine
\( \boldsymbol{P}(\boldsymbol{A} \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{n} \boldsymbol{o} \boldsymbol{B} \boldsymbol{B}) \)
Subject: Physics
A uniform metre rule which has a mass
of \( 75 g \) is suspended by a thread at the
\( 75 \mathrm{cm} \) mark and is balanced by a mass
of weight Whanging from the \( 90 \mathrm{cm} \)
mark. Calculate the value of W.
A . 75 g
B. 125 g
\( c \cdot 150 g \)
D. 250 g
Subject: Maths
\( \ln \operatorname{an} A . P . \) if \( \frac{S_{m}}{S_{n}}=\frac{m^{4}}{n^{4}} \) then prove that
\( \frac{T_{m+1}}{T_{n+1}}=\frac{(2 m+1)^{3}}{(2 n+1)^{3}} \)
Subject: Maths
n \( \triangle \boldsymbol{R} \boldsymbol{S T} \), line \( \boldsymbol{P Q} \| \) segST \( , \boldsymbol{R}-\boldsymbol{P}-\boldsymbol{S} \)
and \( \boldsymbol{R}-\boldsymbol{Q}-\boldsymbol{T} . \) If \( \boldsymbol{R} \boldsymbol{P}=\boldsymbol{4}, \boldsymbol{P} \boldsymbol{S}= \)
\( 8, R Q=3, \) then find \( Q T \)
Subject: Maths
Simplify:
\( \frac{1+\frac{1}{2}}{1-\frac{1}{2}} \div \frac{4}{7}\left(\frac{2}{5}+\frac{3}{10}\right) \) of \( \left(\frac{\frac{1}{2}+\frac{1}{3}}{\frac{1}{2}-\frac{1}{3}}\right) \)
Subject: Physics
Four charges, all of the same magnitude placed at the four corners of a square. At centre of the square, the
potential is \( V \) and the field is \( E . B y \) suitable choices of the signs of four charges, which of the following can be obtained?
This question has multiple correct options
A. \( V=0, E=0 \)
B. \( V=0, E \neq 0 \)
c. \( V \neq 0, E=0 \)
D. \( V \neq 0, E \neq 0 \)
Subject: Chemistry
Which of the following are correct
statements?

This question has multiple correct options
A. In less acidic solution \( K_{2} C r_{2} O_{7} \) and \( H_{2} O_{2} \) gives violet
coloured diamagnetic \( \left[\mathrm{CrO}\left(\mathrm{O}_{2}\right)(\mathrm{OH})\right]^{-} \) ion
B. In alkaline \( H_{2} O_{2}, K_{2} C r O_{8} \) (with tetraperoxo species \( \left.\left[C r O\left(O_{2}\right)(O H)\right]^{3-}\right) \) is formed
C. In Ammoniacal solution, \( \left(N H_{3}\right) C r O_{4} \) is formed
D. \( C r O_{4}^{2-} \) changes to \( C r_{2} O_{7}^{2-} \) by oxidation
Subject: Chemistry
An aqueous solution contains \( 0.01 M \)
\( \boldsymbol{R} \boldsymbol{N} \boldsymbol{H}_{2}\left(\boldsymbol{K}_{\boldsymbol{b}}=\boldsymbol{2} \times \mathbf{1 0}^{-\boldsymbol{6}}\right) \) and
\( 10^{-4} M \) NaOH.The concentration of
\( \boldsymbol{O H}^{-} \) is nearly:
A. \( 2.414 \times 10^{-4} \)
В \( \cdot 10^{-4} M \)
c. \( 1.414 \times 10^{-4} \)
D. \( 2 \times 10^{-4} \)
Subject: Maths
If two unit vectors \( \bar{a} \) and \( \bar{b} \) are inclined
at an angle \( 2 \theta(0<\theta<\pi) \) and \( \mid \bar{a}- \)
\( \vec{b} \mid \leq 1, \) then \( \theta \in \)
A \( \cdot\left[0, \frac{\pi}{6}\right) \)
в. \( \left[0, \frac{\pi}{3}\right] \cup\left[\frac{2 \pi}{3}, \pi\right] \)
\( ^{\mathrm{c}} \cdot\left[0, \frac{\pi}{6}\right] \cup\left[\frac{5 \pi}{6}, \pi\right] \)
D.
Subject: Maths
If \( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}} \boldsymbol{f}(\boldsymbol{x})=4 \boldsymbol{x}^{3}-\frac{\boldsymbol{3}}{\boldsymbol{x}^{4}} \) such that \( \boldsymbol{f}(\boldsymbol{2})= \)
0. Then \( f(x) \) is
Subject: Biology
The following factors indicate improved
reproductive health of the society.
1. Better detection and cure of disease
2. Better post-natal care
3. Medically assisted deliveries
4. Increased MMR
Select the code for the correct answer
from the options given below
A. 2,3 and 4 only
B. 1,2 and 3 only
C. 1,3 and 4 only
D. 1,2 and 4 only
Subject: Maths
The foci of the ellipse \( 4 x^{2}+9 y^{2}=1 \) are
\( ^{\mathbf{A}} \cdot\left(\pm \frac{\sqrt{3}}{2}, 0\right) \)
B. \( \left(\pm \frac{\sqrt{5}}{2}, 0\right) \)
\( ^{\mathbf{c}} \cdot\left(\pm \frac{\sqrt{5}}{3}, 0\right) \)
D \( \cdot\left(\pm \frac{\sqrt{5}}{6}, 0\right) \)
E \( \cdot\left(\pm \frac{\sqrt{5}}{4}, 0\right) \)
Subject: Chemistry
Titanium shows the magnetic moment of 1.73 B.M. in its compound. What is the oxidation number of \( \boldsymbol{T} \boldsymbol{i} \) in the
compound?
\( A \cdot+1 \)
\( B .+4 \)
\( c \cdot+3 \)
\( D \cdot+2 \)
Subject: Maths
\( \boldsymbol{f}(\boldsymbol{x})=\frac{\boldsymbol{a}+\boldsymbol{b}^{\frac{1}{x}}}{\boldsymbol{c}+\boldsymbol{d}^{\frac{1}{x}}}, \boldsymbol{b}>1, \boldsymbol{d}>1, \boldsymbol{c} \neq \mathbf{0} \)
\( \boldsymbol{f}(\mathbf{0})=\mathbf{1} \) is left continuous at \( \boldsymbol{x}=\mathbf{0} \)
then
\( \mathbf{A} \cdot a=0 \)
B . \( a=2 c \)
c. \( a=c \)
D. \( a \neq c \)
Subject: Physics
Find the increment in the length of a
steel wire of length \( 5 m \) and radius
6 mm under its own weight.Density of steel \( =8000 k g / m^{3} \) and Young's
modulus of steel \( =2 \times 10^{11} N / m^{2} \)
What is the energy stored in the wire? \( \left(\text { Take } g=9.8 m / s^{2}\right) \)
Subject: Physics
Which of the following transformations
is not correct?
\( \mathbf{A} \cdot_{33}^{75} A s+_{2}^{4} H e \longrightarrow_{35}^{78} B r+_{0}^{1} n \)
B . \( _{3}^{7} L i+_{1}^{1} H \longrightarrow_{4}^{7} B e+_{0}^{1} n \)
C. \( 45 \mathrm{Sc}+_{0}^{1} n \longrightarrow_{20}^{45} \mathrm{Ca}+_{0}^{1} n \)
\( n \)
D. \( _{83}^{099} \mathrm{Bi}+_{1}^{2} \mathrm{H} \longrightarrow_{84}^{210} \mathrm{Po}+_{0}^{1} n \)
Subject: Maths
Die \( A \) has 4 red and 2 white faces where
as die \( B \) has two red and 4 white faces.
\( A \) fair coin is tossed. If head turns up,
the game continues by throwing die \( A \)
if tail turns up then die \( B \) is to be used. If the first two throws resulted in
red, what is the probability of getting red face at the third throw?
\( A \cdot \frac{2}{5} \)
B. \( \frac{1}{5} \)
\( c \cdot \frac{3}{5} \)
D. \( \frac{1}{2} \)
Subject: Physics
A bar magnet has coercivity \( 4 \times \) \( 10^{3} A m^{-1} . \) It is placed in a solenoid
having 40 turns per \( \mathrm{cm} \) and is \( 1.2 \mathrm{m} \) long. The current carried by the solenoid to demagnetize the bar magnet is :
\( A \cdot 6 A \)
в. \( 8 A \)
c. \( 5.78 A \)
D. none of these
Subject: Chemistry
Numerical value of work done is
maximum in case of:
\( \mathbf{A} \cdot C_{3} H_{8}(g)+50_{2}(g) \longrightarrow 3 C O_{2}(g)+4 H_{2} O(l) \)
B. \( C(s)+C O_{2}(g)+\longrightarrow 2 C O(g) \)
\( \mathbf{c} \cdot F e(s)+4 H_{2} O(g)+\longrightarrow F e_{3} O_{4}(s)+4 H_{2}(g) \)
\( \mathbf{D} \cdot N H_{4} C l(s) \longrightarrow N H_{3}(g)+H C l(g) \)
Subject: Physics
A particle moves in \( x \) -y plane and at
time \( t \) is at the point \( \left(t^{2}, t^{3}-2 t\right), \) then
which of the following is/are correct? This question has multiple correct options
A. At \( t=0, \) particle is moving parallel to \( y \) -axis
B. At t= 0, direction of velocity and acceleration are perpendicular
c. \( \quad \) At \( t=\sqrt{\frac{2}{3}} \), particle is moving parallel to \( x \) -axis
D. At t = 0, particle is at rest
Subject: Chemistry
Given that the standard reduction
potentials for \( M^{+} / M \) and \( N^{+} / N \)
electrodes at \( 298 K \) are \( 0.52 V \) and
\( 0.25 V \) respectively. Which of the following is correct in respect of the following electrochemical cell?
\( \boldsymbol{M}\left|\boldsymbol{M}^{+} \| \boldsymbol{N}^{+}\right| \boldsymbol{N} \)
A. The overall cell reaction is a spontaneous reaction
B. The standard EMF of the cell is \( -0.27 V \)
c. The standard EMF of the cell is \( 0.77 V \)
D. The standard EMF of the cell is \( -0.77 V \)
E. The standard EMF of the cell is \( 0.27 V \)
Subject: Chemistry
A voltaic cell is represented as
\( \boldsymbol{A}_{(s)}\left|\boldsymbol{A}_{(a q)}^{+2}\right|\left|\boldsymbol{B}_{(a q)}^{+2}\right| \boldsymbol{B}_{(s)} . \) Which of the
following statements of false regarding
the above cell?
A. The double vertical line indicates salt bridge
B. \( A \) is called the anode and \( B \) is called the cathode
C. The cell reactions are represented as \( A^{2+}+2 e^{-} \rightarrow A \) and \( B \rightarrow B^{2+}+2 e^{-} \)
D. None of the above
Subject: Physics
The distance at which an object should be placed in front of a convex lens of
focal length \( 10 \mathrm{cm} \) to obtain a real
image double the size of object will be:
\( A .30 \mathrm{cm} \)
B. \( 15 \mathrm{cm} \)
\( c \cdot 5 \mathrm{cm} \)
D. \( 10 \mathrm{cm} \)
Subject: Physics
A cell of emf \( e_{1} \) in the secondary circuit gives null deflection for \( 1.5 \mathrm{m} \) length of potentiometer of wire length \( 10 \mathrm{m} \). If
another cell of emf \( e_{2} \) is connected in
series with \( e_{1} \) then null deflection was
obtained for \( 2.5 \mathrm{m} \) length. Then \( \mathrm{e}_{1}: \mathrm{e}_{2} \) is:
A . 3: 5
B. 5: 3
\( c \cdot 3: 2 \)
D. 2: 3