AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A \( 2 m \) wide truck is moving with a
uniform speed \( v_{0}=8 m / s \) along a
straight horizontal road. A pedestrain
starts to cross the road with a uniform
speed \( \boldsymbol{v} \) when the truck is \( 4 \boldsymbol{m} \) away
from him. The minimum value of \( \boldsymbol{v} \) so
that he can cross the road safely is
\( \mathbf{A} \cdot 2.62 m / s \)
B. \( 4.6 \mathrm{m} / \mathrm{s} \)
\( \mathbf{c} .3 .57 \mathrm{m} / \mathrm{s} \)
D. \( 1.414 \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
Select the correct statements about the
electrolysis
This question has multiple correct options
A. Electric current is used to drive a non spontaneous reaction
B. \( \Delta G \) is positive for chemical process during electrolysis
C. Cations and anions move towards the anode in the anode and cathode respectively
D. Over voltage is generally associated with anode in the electrolysis of \( N a C l(a q) \)
Subject: Biology
The location of lymph glands
in Pheretima is
A \( \cdot 4^{t h}, 5^{t h} \) and \( 6^{t h} \) segment
B. \( 10^{\text {th }} \) to \( 20^{\text {th }} \) segment
\( \mathbf{c} \cdot 26^{t h} \) to the last segment
D. \( 13^{\text {th }} \) segment
Subject: Physics
A cylinder of radius \( \boldsymbol{R} \) full of liquid of
density \( \rho \) is rotated about its axis at
wrad/s. The increase in pressure at the centre of the cylinder will be
A \( \cdot \frac{\rho \omega^{2} R^{2}}{2} \)
в. \( \frac{\rho \omega^{2} R}{2} \)
c. \( \frac{\rho^{2} \omega R}{2} \)
D. \( \frac{\rho^{2} \omega^{2} R^{2}}{2} \)
Subject: Maths
Determine, graphically, the vertices of the triangle formed by the lines
\( \boldsymbol{y}=\boldsymbol{x}, \mathbf{3} \boldsymbol{y}=\boldsymbol{x}, \boldsymbol{x}+\boldsymbol{y}=\mathbf{8} \)
B . (0,0),(4,4),(0,2)
D. (0,0),(4,4),(6,2)
Subject: Maths
A solution is to be kept between \( 68^{\circ} F \)
and \( 77^{\circ} F . \) What is the range in
temperature in degree Celsius (C) if the Celsius / Fahrenheit (F) conversion formula is given by \( \boldsymbol{F}=\frac{\mathbf{9}}{\mathbf{5}} \boldsymbol{C}+\mathbf{3 2} ? \)
Subject: Chemistry
Heat of atomisation of \( \boldsymbol{N} \boldsymbol{H}_{3} \) and \( \boldsymbol{N}_{2} \boldsymbol{H}_{4} \)
\( \operatorname{are} \boldsymbol{x} \boldsymbol{k} \boldsymbol{c a l} \boldsymbol{m o l}^{-1} \) and \( \boldsymbol{y} \boldsymbol{k} c \boldsymbol{a l} \boldsymbol{m o l}^{-1} \)
respectively. Average bond energy of \( N-N \) bond is:
A \( \frac{3 y-4 x}{3} \) kcal \( m o l^{-1} \)
в. \( \frac{3 y-x}{5} \) kcal \( m o l^{-1} \)
c. \( \frac{2 y-4 x}{4} \) kcal \( m o l^{-1} \)
D. None of these
Subject: Chemistry
Heat of combustion of \( \boldsymbol{C} \boldsymbol{H}_{\boldsymbol{4}(\boldsymbol{g})} \) at
constant volume is measured in bomb
calorie-meter at \( 298.2 \mathrm{K} \) and found to be
885389 find the valve of enthalpy.
\( N_{2(g)}+3 H_{2(g)} \rightarrow 2 N H_{3(g)} \)
Subject: Maths
The sides of a rhombus ABCD are
parallel to the lines, \( x-y+2=0 \) and
\( 7 x-y+3=0 . \) If the diagonals of the
rhombus intersect at \( \boldsymbol{P}(1,2) \) and the vertex A(different from the origin) is on the \( y \) -axis, then the ordinate of \( A \) is?
Subject: Chemistry
The value of \( \Delta E \) for combustion of 16 g
of \( C H_{4} \) is \( -885389 \mathrm{J} \) at \( 298 \mathrm{K} \). The \( \Delta H \)
combustion for \( \boldsymbol{C H}_{4} \) in J \( \boldsymbol{m o l}^{-1} \) at this
temperature will be: (Giventhat, \( \boldsymbol{R}= \)
\( \left.8.314 J K^{-1} m o l^{-1}\right) \)
A. -55337
В. -880430
c. -885389
D. -890348
Subject: Physics
A metal wire of length L is loaded and an
elongation of \( \Delta L \) is produced. If the area of cross section of the wire is \( A \) then the change in volume of the wire, when elongated is. Take Poisson's ratio
as 0.25
A \( \cdot \Delta V=(\Delta L)^{2} A / L \)
B . \( \Delta V=(\Delta L)^{2} A / 4 L \)
c. \( \Delta V=(\Delta L)^{2} A / 2 L \)
D. \( \Delta V=(\Delta L)^{2} A / 3 L \)
Subject: Chemistry
The set with the correct order of acidity
¡s:
\( \mathbf{A} \cdot \mathrm{HClO}<\mathrm{HClO}_{2}<\mathrm{HClO}_{3}<\mathrm{HClO}_{4} \)
B. \( \mathrm{HClO}_{4}<\mathrm{HClO}_{3}<\mathrm{HClO}_{2}<\mathrm{HClO} \)
C \( . \mathrm{HClO}<\mathrm{HClO}_{4}<\mathrm{HClO}_{3}<\mathrm{HClO}_{2} \)
D. \( \mathrm{HClO}_{4}<\mathrm{HClO}_{2}<\mathrm{HClO}_{3}<\mathrm{HClO} \)
Subject: Maths
Find the limits of the following \( \operatorname{expression} \frac{1-x^{2}}{2 x^{3}-1} \div \frac{1-x}{2 x^{2}},(1) \) when
(2) when \( \boldsymbol{x}=\mathbf{0} \)
\( \boldsymbol{x}=\infty \)
Subject: Chemistry
Which ranks the following atoms \( (L i, N a, K, R b) \) from the smallest to
largest atomic radius?
A. \( L i<N a<K<R b \)
в. \( R b<K<N a<L i \)
c. \( K<N a<L i<R b \)
D. \( N a<L i<R b<K \)
Subject: Maths
Suppose that \( f(n) \) is a real valued function whose domain is the set of
positive integers and that \( \boldsymbol{f}(\boldsymbol{n}) \) satisfies the following two properties:
\( \boldsymbol{f}(1)=23 \) and \( \boldsymbol{f}(\boldsymbol{n}+1)=\boldsymbol{8}+\boldsymbol{3} \cdot \boldsymbol{f}(\boldsymbol{n}) \)
for \( n \geq 1 \)
It follows that there are constant \( \boldsymbol{p}, \boldsymbol{q} \)
and \( r \) such that \( f(n)=p \cdot q^{n}-r, \) for
\( \boldsymbol{n}=\mathbf{1}, \mathbf{2}, \ldots \ldots \) then the value of \( \boldsymbol{p}+\boldsymbol{q}+\boldsymbol{r} \)
is:
A . 16
B. 17
c. 20
D. 26
E . 31
Subject: Maths
Circles are drawn on chords of the
rectangular hyperbola \( \boldsymbol{x} \boldsymbol{y}=\mathbf{4} \) parallel to the line \( y=x \) as diameters.All such
circles pass through two fixed points whose coordinates are
This question has multiple correct options
\( \mathbf{A} \cdot(2,2) \)
B \( \cdot(2,-2) \)
c. (-2,2)
D. (-2,-2)
Subject: Chemistry
\( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \longrightarrow \boldsymbol{H}^{+}+\boldsymbol{H} \boldsymbol{S} \boldsymbol{O}_{4}^{-}(100 \% \)
ionisation)
\( \boldsymbol{H} \boldsymbol{S O}_{4}^{-} \longrightarrow \boldsymbol{H}^{+}+\boldsymbol{S} \boldsymbol{O}_{4}^{2-} \)
ionisation)
The given reaction takes place when sulphuric acid dissolves in water.
If we start with \( 0.2 ~ M \) aqueous solution
of \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) then maximum
concentration is of
species.
A. \( H_{2} S O_{4} \)
в. \( H_{3} O^{+} \)
\( c \cdot s O_{4}^{2} \)
D. \( H S O_{4}^{-} \)
Subject: Physics
Assertion
The only element that dissipates energy in an ac circuit is the resistive element
Reason

There are no power losses associated
with pure capacitances and pure inductances in an ac circuit
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
Which of the following is correct?
\( A \cdot \sin 1^{\circ}>\sin 1 \)
B. \( \sin 1^{\circ}<\sin 1 \)
\( \mathbf{c} \cdot \sin 1^{\circ}=\sin 1 \)
D. \( \sin 1^{\circ}=\frac{\pi}{180} \sin 1 \)
Subject: Maths
If \( \frac{(1+i)(2+3 i)(3-4 i)}{(2-3 i)(1-i)(3+4 i)}=a+i b, \) then
\( a^{2}+b^{2} \) is equal to
A. 132
B . 25
\( c \cdot 144 \)
D. 128
\( E \)
Subject: Physics
A circular coil of wire of \( n \) turns has a
radius \( r \) and carries a current \( i \). Its
magnetic dipole moment is \( M . \) Now the coil is unwound and again rewound into a circular coil of half the initial radius
and the same current is passed through it, then the dipole moment of this new coil is :
A \( \cdot \frac{M}{2} \)
в. \( \frac{M}{4} \)
c. \( M \)
D. 2 \( M \)
Subject: Chemistry
\( 0.24 g \) of a volatile substance, upon vaporisation, gives \( 45 \mathrm{ml} \) vapour at \( \mathrm{NTP} \) What will be the vapour density of the
substance?
\( \mathbf{A} \cdot 95.93 \)
B. 59.8
c. 95.39
D. 5.993
Subject: Physics
Copper of fixed volume 'v; is drawn into wire of length 'I. When this wore is subjected to a constant force 'F', the
extension produced in the wire is ' \( \Delta l \) Which of the following graphs is a straight line?
A \( \cdot \Delta l \) versus \( \frac{1}{i} \)
B. \( \Delta l \) versus \( l^{2} \)
c. \( \Delta l \) versus \( \frac{1}{l^{2}} \)
D. \( \Delta l \) versus \( l \)
Subject: Chemistry
Which of the following phosphate are
cyclic among these?
A. \( H_{5} P_{3} O_{10} \)
В. \( H_{6} P_{4} O_{13} \)
\( \mathbf{c} \cdot H_{5} P_{5} O_{15} \)
D. \( H_{7} P_{5} O_{16} \)
Subject: Physics
statement
(1): A metallic plate
containing a circular hole is heated
then the size of the hole increases.
statement
(2): The expansion of the solid always takes place readily outwards.
A. statement 1 and statement 2 are correct and statement 2 is correct an explanation for statement 1
B. statement 1 and statement 2 are correct and statement 2 is not the correct explanation for statement
c. statement 1 is true and statement 2 is false
D. statement 1 is wrong and statement 2 is true
Subject: Physics
Let \( Y_{S} \) and \( Y_{A} \) represent Young's modulus for steel and aluminium
respectively lt is said that steel is more elastic than aluminium. Therefore, it
follows that
A. \( Y_{S}=Y_{A} \)
в. \( Y_{S}<Y_{A} \)
c. \( Y_{S}>Y_{A} \)
\( \stackrel{Y_{S}}{Y_{A}}=0 \)
Subject: Maths
If in \( \triangle A B C, A \equiv(1,10), \) circumcentre \( \equiv\left(-\frac{1}{3}, \frac{2}{3}\right) \) and orthocentre \( \equiv \)
\( \left(\frac{11}{3}, \frac{4}{3}\right), \) then the coordinates of midpoint of side opposite to \( A \) is
A \( \cdot\left(1,-\frac{11}{3}\right) \)
в. (1,5)
c. (1,-3)
D. (1,6)
Subject: Physics
Two balls are dropped from different heights at different instants. Second
ball is dropped 2 sec after the first ball. If both balls reach the ground simutlanously after 5 sec of dropping the first ball, the difference of initial
heights of the two balls will be: \( (g= \)
\( 9.8 m / s^{2} \)
\( \mathbf{A} \cdot 58.8 m \)
B. \( 78.4 m \)
c. \( 98.0 m \)
D. \( 117.6 m \)
Subject: Physics
An electron of mass \( m \) and a photon
have same energy \( E . \) The ratio of de-
Broglie wavelength associated with them is:
\( \stackrel{\mathbf{A}}{_{c}}\left(\frac{E}{2 m}\right)^{\frac{1}{2}} \)
B. \( \quad\left(\frac{E}{2 m}\right)^{\frac{1}{2}} \)
\( c \cdot(2 m E)^{\frac{1}{2}} \)
\( \stackrel{1}{c}\left(\frac{2 m}{E}\right)^{\frac{1}{2}} \)
\( (c \) being velocity of light)
Subject: Physics
Assuming the particle was located at the origin initialy, find the equation of trajectory \( \boldsymbol{y}(\boldsymbol{x}), \) where \( \boldsymbol{y} \) and \( \boldsymbol{x} \)
are displacements of the body along the vertical and the horizontal respectively
A \( \cdot y(x)=x \tan \alpha-\left(\frac{g}{v_{0}^{2} \cos ^{2} \alpha}\right) x^{2} \)
B \( \cdot y(x)=x \tan \alpha+\left(\frac{g}{2 v_{0}^{2} \cos ^{2} \alpha}\right) x^{2} \)
c. \( y(x)=x \tan \alpha+\left(\frac{g}{v_{0}^{2} \cos ^{2} \alpha}\right) x^{2} \)
D. \( y(x)=x \tan \alpha-\left(\frac{g}{2 v_{0}^{2} \cos ^{2} \alpha}\right) x^{2} \)
Subject: Physics
A resistance col of \( 60 \Omega \) is immersed in
\( 42 \mathrm{kg} \) of water. What is the rise in temperature of water per minute if a steady current of \( 7 \mathrm{A} \) is made to flow
through the coli?
A \( \cdot 10.10^{\circ} \mathrm{C} \)
B. 9.51 \( ^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 1.0^{\circ} \mathrm{C} \)
D. \( 0.5^{\circ} \mathrm{C} \)
Subject: Maths
The nth triangular number is defined to
be the sum of the first \( n \) positive
integers. For example, the \( 4^{t h} \) triangular
number is \( 1+2+3+4=10 . \) In the
first 100 terms of the sequence
1,3,6,10,15,21,28 of triangular
numbers, how many are divisible by \( 7 ? \)
Subject: Physics
If surface tension (S), Moment of inertia
(I) and Planck's constant (h), were to be taken as the fundamental units, the
dimensional formula for linear
momentum would be :-
A \( \cdot S^{3 / 2} I^{1 / 2} h^{0} \)
B. \( S^{1 / 2} I^{1 / 2} h^{0} \)
c. \( S^{1 / 2} I^{1 / 2} h^{-1} \)
\( \mathbf{D} \cdot S^{1 / 2} I^{3 / 2} h^{-1} \)
Subject: Maths
For two parallel lines and a transversal
\( \angle 1=74^{\circ} . \) For which pair of angle
measures is the sum the least?
A. \( \angle 1 \) and a corresponding angle
B. \( \angle 1 \) and the corresponding co-interior angle
C. \( \angle 1 \) and its supplement
D. \( \angle 1 \) and its complement
Subject: Physics
The horizontal and vertical distances
travelled by a particle in time \( t \) are
given by \( \boldsymbol{x}=\mathbf{6} t \) and \( \boldsymbol{y}=\mathbf{8} \boldsymbol{t}-\mathbf{5} \boldsymbol{t}^{2} . \) If
\( g=10 m / s e c^{2}, \) then the initial velocity
of the particle is -
A. \( 8 \mathrm{m} / \mathrm{sec} \)
B. \( 10 \mathrm{m} / \mathrm{sec} \)
\( \mathrm{c} .5 \mathrm{m} / \mathrm{sec} \)
D. zero
Subject: Chemistry
\( \boldsymbol{F} e^{2+} \rightarrow \boldsymbol{F} e^{3+}+\boldsymbol{e}^{-} ; \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4}^{-}+\boldsymbol{5} \boldsymbol{e}^{-} \rightarrow \)
\( M n^{2+}, \) the ratio of stoichiometric
coefficient of \( F e^{2+} \) and \( M n O_{4}^{-} \) in the balanced redox reaction is:
A .1: 5
B. 5: 1
c. 2: 3
\( D \cdot 6: 1 \)
Subject: Chemistry
What is the oxidation number of \( \boldsymbol{H} \) and
\( C l \) in \( H C l O_{4} \) respectively?
\( A \cdot+1,+7 \)
B. +2,+6
\( \mathrm{c} \cdot+3,+7 \)
\( \mathrm{D} \cdot+2,+7 \)
Subject: Chemistry
Match list-I with list -II.
List I
(A) Lanthanide contraction
\( (p) d \)
block
(B) Diagonal relationship Elements of 3rd period
(C) Typical elements
\( (r) \)
block
(D) Inner transition elements
\( \mathrm{Be}-\mathrm{A} \)
\( A \cdot A-r, B-s, C-q, D-r \)
B. A-p,B -r,C - s, D-q
\( c \cdot A-s, B-q, c-p, D-r \)
D. A - q, B - p, C - r, D- -
Subject: Chemistry
For a reaction \( \boldsymbol{X} \rightarrow \boldsymbol{Y} \) ), heat of reaction
is \( +83.68 k J, \) energy of reactant \( X \) is
\( 167.36 k J \) and energy of activation is \( 209.20 k J . \) Calculate
(i) threshold
energy (ii) energy of product \( Y \) and (iii) energy activation of the reverse reaction
\( (\boldsymbol{Y} \rightarrow \boldsymbol{X}) \)
Subject: Physics
A transverse wave moves along a rope.
The diagram shows the position of the
rope at one particular time.
Which two labelled points are one
wavelength apart?
\( \mathbf{A} \cdot W \) and \( X \)
B. \( W \) and \( Z \)
c. \( X \) and \( Z \)
D. \( Y \) and \( Z \)
Subject: Physics
A beam of light propagates through a
medium 1 and falls onto another
medium \( 2, \) at an angle \( \alpha_{1} \) as shown in
Fig. After that, it propagates in medium
2 at an angle \( \alpha_{2} \) as shown. The light's
wavelength in medium 1 is \( \lambda_{1} . \) What is
the wavelength of light in medium 2?
\( A \)
в.
\( c \cdot \frac{\cos \alpha_{1}}{\cos \alpha_{2}} \lambda_{1} \)
\( D \)
Subject: Maths
If \( \frac{1}{p+q}, \frac{1}{r+p}, \frac{1}{q+r} \) are in A.P., then
A \( \cdot p^{2}, q^{2}, r^{2} \) are in A.P.
B . \( q^{2}, p^{2}, r^{2} \) bare in A.P.
c. \( q^{2}, r^{2}, p^{2} \) are in A.P.
D. \( p, q, r \) are in A.P.
Subject: Physics
A uniform metre rule of weight \( 10 g f \) is
pivoted at its 0 mark. What moment of force depresses the rule?
\( A .5 g f c m \)
в. \( 10 g f \) ст
c. \( 100 g f \mathrm{cm} \)
D. \( 500 g f \mathrm{cm} \)
Subject: Maths
The parabola \( y^{2}=4 x \) and \( x^{2}=4 y \)
divide the square region bounded by the
\( \operatorname{lines} x=4, y=4 \) and the coordinate
axes. If \( S_{1}, S_{2}, S_{3} \) are the areas of these
parts numbered from top to bottom
respectively, then This question has multiple correct options
A \( . S_{1}: S_{2} \equiv 1: 1 \)
B. \( S_{2}: S_{3} \equiv 1: 2 \)
c. \( S_{1}: S_{3} \equiv 1: 1 \)
\( \mathbf{D} \cdot S_{1}:\left(S_{1}+S_{2}\right) \equiv 1: 2 \)
Subject: Chemistry
Assertion
Detergents and soaps both are different.
Reason

Soap contains an aliphatic or straight chain carbon skeleton, with a carboxylic
acid group at its end. Instead of a carboxylic acid group, the detergent may contain a sulphate or sulphonate group. In addition, detergents can
contain an aromatic ring or rings.
Read the above assertion and reason
and choose the correct statement
regarding it.
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
In Kjeldahl method to estimate nitrogen, the compound is heated with
conc. \( H_{2} S O_{4} \) in presence
of
A. \( \operatorname{CaSO}_{4} \)
B. \( \left(N H_{4}\right)_{2} S O_{4} \)
c. \( C u S O_{4} \)
D. \( P_{2} O_{5} \)
Subject: Maths
Let \( \boldsymbol{P}=\left[\boldsymbol{a}_{i j}\right] \) be a \( \boldsymbol{3} \times \boldsymbol{3} \) matrix and let
\( Q=\left(b_{i j}\right) \) where \( b_{i j}=2^{i+j} a_{i j} \) for \( 1 \leq \)
\( i, j \leq 3 . \) If the determinant of \( P \) is 2 then
the determinant of the matrix \( Q \) is?
A \( \cdot 2^{10} \)
B . \( 2^{11} \)
\( c \cdot 2^{12} \)
D. \( 2^{13} \)
Subject: Physics
A smooth uniform string of natural length \( l \),cross-sectional area \( A \) and
Young's modulus \( Y \) is pulled aling its
length by a force \( \boldsymbol{F} \) on a horizontal
surface. If the elastic potential energy stored in the string is \( U=\frac{F^{2} l}{x A Y} . \) Find \( x \)
Subject: Chemistry
Consider following two reactions:
\( \boldsymbol{A} \longrightarrow \) Product, \( \quad-\frac{\boldsymbol{d}[\boldsymbol{A}]}{\boldsymbol{d} \boldsymbol{t}}=\boldsymbol{k}_{1}[\boldsymbol{A}]^{0} \)
\( \boldsymbol{B} \longrightarrow \) Product, \( \quad-\frac{\boldsymbol{d}[\boldsymbol{B}]}{\boldsymbol{d} \boldsymbol{t}}=\boldsymbol{k}_{2}[\boldsymbol{B}]^{1} \)
\( k_{1} \) and \( k_{2} \) are expressed in terms of
molarity \( \left(\operatorname{mol} L^{-1}\right) \) and time \( (s) \) as:
A \( \cdot s^{-1}, M s^{-1} L^{-} \)
B. \( M s^{-1}, M s^{-1} \)
c. \( s^{-1}, M^{-1} s^{-1} \)
D. \( M s^{-1}, s^{-1} \)
Subject: Physics
Height of the image of an object on an principal axis produced by a convex lens is double the focal length of lens is
\( 20 c m, \) then image distance from the lens is:
\( \mathbf{A} \cdot 10 \mathrm{cm} \)
B. \( 30 \mathrm{cm} \)
\( \mathbf{c} \cdot 40 \mathrm{cm} \)
D. Both (1) and (2)
Subject: Physics
Quantity \( X \) has a fractional uncertainty
of \( x . \) Quantity \( Y \) has a fractional uncertainty of \( y \) What is the fractional uncertainty in \( \frac{\boldsymbol{X}}{\boldsymbol{Y}^{2}} \)
\( \mathbf{A} \cdot x+y \)
в. \( x-y \)
c. \( x+2 y \)
D. \( x-2 y \)
Subject: Chemistry
A balloon of diameter 21 meter weight
\( 100 k g . \) Calculate its pay-load, if it is filled
with \( H e \) at 1.0 atm and \( 27^{\circ} \mathrm{C} \). Density of
air is \( 1.2 \mathrm{kgm}^{-3} \). (Given: \( R= \)
\( \left.0.082 L a t m K^{-1} m o l^{-1}\right) \)
A. \( 4952.42 \mathrm{kg} \)
B. 4932.42 kg
c. \( 493.242 \mathrm{kg} \)
D. None of these
Subject: Chemistry
Which of the following statements about a catalyst is/are true?
This question has multiple correct options
A. A catalyst accelerates the reaction by bringing down the energy of activation.
B. A catalyst does not take part in the reaction.
C. A catalyst makes the reaction more feasible by making the \( \Delta G^{\circ} \) more negative.
D. A catalyst makes the equilibrium constant of the reaction more favourable for the forward reaction.
Subject: Maths
If \( \vec{A}=\vec{B}+\vec{C} \) and the magnitude of
\( A, B \) and \( C \) are 5,4 and 3 minutes
respectively,then the angle between \( \boldsymbol{A} \) and \( C \) is:
A \( \cdot \cos ^{-1}(4 / 5) \)
B \( \cdot \cos ^{-1}(3 / 5) \)
c. \( \tan ^{-1}(3 / 4) \)
D \( \cdot \sin ^{-1}(3 / 5) \)
Subject: Chemistry
For water at \( 25^{\circ} \mathrm{C}, 2 \times 10^{-7} \) moles per
litre is the correct answer for which one
of the following?
\( \mathbf{A} \cdot\left[H^{+}\right]+\left[O H^{-}\right] \)
B . \( \left[H^{+}\right]^{2} \)
c. \( \left[O H^{-}\right]^{2} \)
\( \mathbf{D} \cdot\left[H^{+}\right]-\left[O H^{-}\right] \)
Subject: Maths
\( \boldsymbol{D}=\left|\begin{array}{ccc}\mathbf{1 8} & \mathbf{4 0} & \mathbf{8 9} \\ \mathbf{4 0} & \mathbf{8 9} & \mathbf{1 9 8} \\ \mathbf{8 9} & \mathbf{1 9 8} & \mathbf{4 4 0}\end{array}\right|= \)
\( A \)
B. -
c. zero
\( D \)
Subject: Chemistry
For \( B e, Z_{e f f}=1.95 \) and for \( \boldsymbol{B} \boldsymbol{e}^{\boldsymbol{x}+}, \boldsymbol{Z}_{\boldsymbol{e f f}}=\mathbf{2 . 3 0 .} \) Hence, ion is:
\( \mathbf{A} \cdot B e^{+} \)
в. \( B e^{2} \)
\( \mathbf{c} \cdot B e^{3+} \)
D. \( B e \)
Subject: Maths
If \( \mathbf{A}, \mathbf{B} \) and \( \mathbf{C} \) are three sets such that \( \mathbf{A} \cap \mathbf{B}=\mathbf{A} \cap \mathbf{C} \) and \( \mathbf{A} \cup \mathbf{B}=\mathbf{A} \cup \mathbf{C} \)
then
A \( . A=B \)
B. \( A=C \)
c. \( \mathrm{B}=\mathrm{C} \)
\( \mathbf{D} \cdot A \cap \mathbf{B}=\phi \)
Subject: Biology
Consider the diagram given above.
Parts labelled as 'A','B','C', 'D' and 'E'
respectively indicate
A. Illium, femur, tibia, pubis and sacrum
B. Pubis, tibia, femur, ilium and sacrum
C. llium, tibia, femur, pubis and sacrum
D. Pubis, tibia, femur, ilium and ulna
E. Pubis, femur, tibia, ilium and sacrum
Subject: Maths
\( A \) and \( B \) are two fixed points in a plane. If Pis a moving point in the plane such that \( P A=P B, \) then the:
A. locus of P is the line AB itself.
B. locus of P is a line parallel to AB
c. point P always makes equilateral triangles with A, B.
D. triangle PAB is isosceles for all positions of P.
Subject: Chemistry
Assertion : \( \beta- \) particles are deflected
more than \( \alpha- \) particles in a given
electric field.

Reason: Charge on \( \alpha- \) particles is
larger than on \( \beta- \) particles.
A. If both (A) and (R) are correct, and (R) is the correct explanation of (A).
B. If both (A) and (R) are correct, but (R) is not the correct explanation of (A)
c. If (A) is correct, but (R) is incorrect.
D. If (A) is incorrect, but (R) is correct
E. If both (A) and (R) are incorrect
Subject: Maths
Find \( \boldsymbol{f}(-1) \) if \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}-\mathbf{1 0} \boldsymbol{x}+\mathbf{1 5} \)
A . 15
B. -6
\( c \cdot 24 \)
D. 4
Subject: Maths
\( \left|\begin{array}{ccc}a^{2}+1 & a b & a c \\ a b & b^{2}+1 & b c \\ a c & b c & c^{2}+1\end{array}\right|= \)
A . abc
B. atb+c
c. \( 1+a^{2}+b^{2}+c^{2} \)
\( D \cdot a b c(1+a+b+c) \)
Subject: Maths
Divide \( \left(9 x^{2}-24 x+16\right) \) by \( (3 x-4) \)
A \( .3 x-4 \)
B. \( 4 x-3 \)
c. \( (3 x-4)(3 x-4) \)
D. \( 9 x^{2}-16 \)
Subject: Physics
Two masses \( A \) and \( B \) of \( 10 \mathrm{Kg} \) and \( 5 \mathrm{Kg} \) respectively are connected with a string passing over a frictionless pulley at a
corner of a table a shown in the
adjoining diagram. The coefficient of friction of \( A \) with the table is \( 0.2 . \) The
minimum mass of \( C \) that may be placed on \( A \) to prevent it from moving is equal
to?
Subject: Maths
If \( \tan \left(45^{\circ}+\theta\right)=\sqrt{3} \) and \( 0<\theta<20^{\circ} \)
then the value of \( \theta \) is
A \( .10^{\circ} \)
B . \( 15^{\circ} \)
\( c \cdot 20 \)
D. \( 5^{\circ} \)
Subject: Maths
The sum of first three terms of a \( G . P \) is
to the sum of the first six terms as
\( 125: 152 . \) Find the common ratio of the
\( G . P \)
A \( \cdot \frac{3}{5} \)
в. \( \frac{5}{3} \)
\( c \cdot \frac{2}{3} \)
D. \( \frac{3}{2} \)
Subject: Chemistry
Which of the following represents the electronic configuration of d-block
elements?
A \( \cdot(n-1) s^{2} n d^{1-10} \)
B . \( (n-1) d^{1-10} n s^{1-2} \)
C \( \cdot(n-1) s^{2} p^{6} n s^{1} \)
D. \( n s^{2} p^{2} d^{1} \)
Subject: Maths
The projections of a directed line segment on the coordinate axes are
12,4,3 respectively.

What are the direction cosines of the
line segment?
A \( \cdot(12 / 13,4 / 13,3 / 13) \)
B . \( (12 / 13,-4 / 13,3 / 13) \)
c. \( (12 / 13,-4 / 13,-3 / 13) \)
D. \( (-12 / 13,-4 / 13,3 / 13) \)