AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
From any point on the hyperbola \( \frac{x^{2}}{a^{2}}- \) \( \frac{y^{2}}{b^{2}}=1 \) tangents are drawn to the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=2 . \) The area cut-off
by the chord of contact on the
asymptotes is equal to
A \( \cdot \frac{a b}{2} \)
B. ab
\( c \cdot 2 a b \)
\( D \cdot 4 a b \)
Subject: Physics
Three concentric conducting spherical
shells of radii \( \boldsymbol{R}, 2 \boldsymbol{R} \) and \( \boldsymbol{3} \boldsymbol{R} \) carry
charges \( Q,-2 Q \) and \( 3 Q, \) respectively
Find the electric potential at \( r=R \) and
\( \boldsymbol{r}=\boldsymbol{3} \boldsymbol{R}, \) where \( \boldsymbol{r} \) is the radial distance
from the centre
\( ^{\mathrm{A}} \cdot \frac{Q}{6 \pi \varepsilon_{0} R}, \frac{Q}{4 \pi \varepsilon_{0} R} \)
в. \( \frac{Q}{4 \pi \varepsilon_{0} R}, \frac{Q}{6 \pi \varepsilon_{0} R} \)
c. \( \frac{Q}{2 \pi \varepsilon_{0} R}, \frac{Q}{3 \pi \varepsilon_{0} R} \)
D. \( \frac{Q}{3 \pi \varepsilon_{0} R}, \frac{Q}{2 \pi \varepsilon_{0} R} \)
Subject: Maths
A car covers first \( 100 \mathrm{km} \) in \( 2 \frac{1}{2} \) hours and then travels at a speed of
\( 60 \mathrm{km} / \mathrm{hr} \) for \( 1 \frac{1}{2} \) hours. Find the
average speed of the car for the whole
journey
Subject: Chemistry
Information about the solubility in water of four oxides is shown. Which oxide, when added to water,
gives a solution with a \( p H \) less than
\( p H 7 ? \)
Name of oxide - nitrogen dioxide, solubility in water - soluble Name of oxide - copper(II) oxide, solubility in water - insoluble
Name of oxide - silicon(IV) oxide,
solubility in water - insoluble Name of oxide - barium oxide, solubility
in water - soluble
A. Nitrogen dioxide
B. Copper (II) oxide
c. silicon(IV) oxide
D. Barium oxide
Subject: Physics
nace
resistance \( 2 \Omega \) is connected with two
resistors \( A \) and \( B \) of resistance \( 4 \Omega \) and
\( 6 \Omega \) respectivelyjoined in series. Find:
(i) Current in the circuit.
(ii) The terminal voltage of the cell.
(iii) The potential difference across \( 6 \Omega \)
Resistor.
(iv) Electrical energy spent per minute
in \( 4 \Omega \) Resistor.
Subject: Maths
The contrapositive of the following statement, "If the side of a square doubles, then its area increases four
times" is:
A. If the area of a square increases four times, then its side is not doubled
B. If the area of a square increases four times, then its side is doubled
C. If the area of a square does not increase four times then its side is not doubled
D. If the side of a square is not doubled, then its area does not increase four times
Subject: Chemistry
Match the following:
List - List - II
1) Molality
A) unity
2) Relative
B) dilute solutions vapour lowering
3) Raoult's law
C) independent of temperature
4) \( X_{\text {solute}} X_{\text {solvent}} \)
D) Mole fraction of solute
\( \mathbf{A} \cdot 1-C, 2-D, 3-B, 4-A \)
B . \( 1-A, 2-C, 3-D, 4-B \)
C \( .1-C, 2-B, 3-A, 4-D \)
D . \( 1-D, 2-A, 3-B, 4-C \)
Subject: Maths
If \( \boldsymbol{x}=\boldsymbol{a}(\boldsymbol{t}-\sin t) \) and \( \boldsymbol{y}=\boldsymbol{a}(\boldsymbol{1}+\cos \boldsymbol{t}) \)
then the value of \( y_{2} \) at \( t=\frac{\pi}{2} \) is
\( A \)
B . a \( ^{2} \)
\( c \cdot \frac{1}{a} \)
D. \( \frac{1}{a^{2}} \)
Subject: Physics
A heater coil connected across a given potential difference has power \( \boldsymbol{P} \). Now the coil is cut into two equal halves and joined in parallel. Across the same potential difference, this combination
has power.
A . \( P \)
в. \( 4 P \)
c. \( \frac{P}{4} \)
D. \( 2 P \)
Subject: Biology
Assertion
Heterophylly is seen in many aquatic
plants
Reason
Aquatic plants survive in two different
conditions of the environment
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
Three equal charges each \( +q \) are placed (fixed) on the corners of an equilateral triangle of side a. Then, the Coulomb force experienced by one charge due to the rest of the two is :
\( ^{A} \cdot \frac{1}{4 \pi \varepsilon_{0}} \frac{q^{2}}{a^{2}} \)
В. \( \frac{1}{4 \pi \varepsilon_{0}} \frac{2 q^{2}}{a^{2}} \)
c. \( \frac{1}{4 \pi \varepsilon_{0}} \frac{\sqrt{3} q^{2}}{a^{2}} \)
D. zero
Subject: Chemistry
For a certain reaction the rate law is
rate \( =k[C]^{3 / 2} . \) If the rate of the reaction
is \( 0.020 \mathrm{mol} \mathrm{L}^{-1} \mathrm{s}^{-1} \) when \( [C]=1.0 \mathrm{M} \)
what is the rate when \( [C]=0.60 \mathrm{M} ? \)
\begin{tabular}{l} 
A \( \cdot 0.0093 \mathrm{mol} \mathrm{L}^{-1} \mathrm{s}^{-1} \) \\
\hline
\end{tabular}
B. \( 0.012 \mathrm{mol} \mathrm{L}^{-1} \mathrm{s}^{-1} \)
c. 0.033 mol \( L^{-1} s^{-1} \)
D. \( 0.040 \mathrm{mol} \mathrm{L}^{-1} \mathrm{s}^{-1} \)
Subject: Chemistry
The resistance of a solution \( A \) is 50
ohms and that of solution B is 100
ohms, both solutions being taken in the same conductivity cell. If equal volumes
of solution \( A \) and \( B \) are mixed, the
resistance (in ohms) of the mixture
using the same cell will be \( 13 x+2 \)
Then \( x \) is:
Assume that there is no increase in the degree of dissociation of \( A \) and \( B \) on
mixing. (write the value to the nearest integer)
Subject: Maths
\( \int \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) d x=f(x)-\log (1+ \)
\( \left.\boldsymbol{x}^{2}\right)+\boldsymbol{c} \) then \( \boldsymbol{f}(\boldsymbol{x})= \)
A \( \cdot 2 x \tan ^{-1} x \)
B. \( -2 x \tan ^{-1} x \)
c. \( x \tan ^{-1} x \)
D. \( -x \tan ^{-1} x \)
Subject: Chemistry
Select correct statement(s).
This question has multiple correct options
A. Stabilities of variable oxidation states can be explained by standard electrode potential
B. \( C r^{2+} \) is unstable and \( C r^{3+} \) is stable in aqueous solution
C \( \cdot F e^{2+} \) is stable and \( F e^{3+} \) is unstable is aerated water
D. All of the above
Subject: Biology
A gene encoding for polypeptide of 50 amino acids get mutated at 25 codon; UAU becoming UAA. The result would be
A. Polypeptide of 24 amino acid
B. Two polypeptides one with 24 amino acids and second with 25 amino acids
c. A polypeptide with 49 amino acid
D. A polypeptide of 25 amino acids
Subject: Chemistry
Assertion: Ozone is an allotrope of
oxygen Reason: Oxygen is bluish-colored liquid
and in singlet state it is para-magnetic.
A. If both assertion and reason are true and the reason is a correct explanation of the assertion
B. If both assertion and reason are true but reason is not a correct explanation of the assertion
c. If the assertion is true but reason is false
D. If both the assertion and reason are false
E. If the assertion is false but the reason is true
Subject: Chemistry
\( \boldsymbol{x} \boldsymbol{N a O H}+\boldsymbol{H}_{2} \boldsymbol{S O}_{4} \rightarrow \boldsymbol{N a}_{2} \boldsymbol{S O}_{4}+ \)
\( \boldsymbol{y} \boldsymbol{H}_{2} \boldsymbol{O} . \) Balance the given chemical
equation and find the value of \( x \) and \( y \)
A .2,1
в. 2,2
c. 2,3
D. 1,2
Subject: Physics
\( A 750 H z, 20 V \) source is connected to a resistance of \( 100 \Omega, \) an inductance of \( 0.1803 H \) and a capacitance of \( 10 \mu F \) all
in series. Calculate the time in which
the resistance (thermal capacity
\( \left.2 J /^{o} C\right) \) will get heated by \( 10^{\circ} \mathrm{C} \). (lgnore radiation)
A . 6.8 min
B. 5.8 min
c. 7.8 min
D. 9.8 min
Subject: Maths
Check the continuity of \( f \) given by \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{ccc}\left(x^{2}-9\right) /\left(x^{2}-2 x-3\right) & \text { if } & 0<x< \\ 1.5 & \text { if } & x=\varepsilon\end{array}\right. \)
and \( x \neq 3 \) at the point 3
Subject: Maths
Find the value of \( ^{\prime} a^{\prime} \) for which the
function \( f \) defined by
\( f(x)=\left\{\begin{array}{l}a \sin \frac{\pi}{2}(x+1), x \leq 0 \\ \frac{\tan x-\sin x}{x^{3}}, x>0\end{array}\right. \)
continuous at \( \boldsymbol{x}=\mathbf{0} \)
Subject: Maths
Find the slope of the line passing through the following points \( M(4,0) \) and \( Q(-3,-2) \)
A \( \cdot \frac{2}{7} \)
B. \( \frac{7}{3} \)
\( c \cdot \frac{1}{2} \)
D. \( \frac{8}{5} \)
Subject: Maths
A square \( A B C D \) is divided equally into
5 rectangles. The perimeter of each
rectangle is \( 60 \mathrm{cm} . \) Find the perimeter
of the square.
A. \( 120 \mathrm{cm} \)
B. \( 100 \mathrm{cm} \)
c. \( 25 \mathrm{cm} \)
D. \( 60 \mathrm{cm} \)
Subject: Maths
Water is flowing out at the rate of
\( 6 m^{3} / \) min from a reservoir shaped like
a hemispherical bowl of radius \( R=13 \)
\( \mathrm{m} \) The volume of water in the
hemispherical bowl is given by \( v= \) \( \frac{\pi}{3} \cdot y^{2}(3 R-y) \) when the water is \( y \)
meter deep Find at what rate is the water level changing when the water is
\( 8 \mathrm{m} \) deep.
\( ^{\mathbf{A}} \cdot-\frac{1}{12 \pi} m / m i n \)
B. \( -\frac{1}{18 \pi} m / \) min
c. \( -\frac{1}{24 \pi} m / \) min
D. \( -\frac{1}{30 \pi} m / \) min
Subject: Physics
A wave equation which gives the displacement along Y-direction is given \( \boldsymbol{y}=\mathbf{1 0}^{4} \sin (\mathbf{6 0} \boldsymbol{t}+\mathbf{2} \boldsymbol{x}) \) where \( \boldsymbol{x} \) and \( \boldsymbol{y} \)
are in meter and \( t \) in sec. Among the
following choose the correct statement:
This question has multiple correct options
A. It represents a wave propagating along positive x-axis with a velocity of \( 30 \mathrm{m} / \mathrm{s} \)
B. It represents a wave propagating along negative x-axis with a velocity of \( 120 \mathrm{m} / \mathrm{s} \)
c. It represents a wave propagating along negative x-axis with a velocity of \( 30 \mathrm{m} / \mathrm{s} \).
D. It represents a wave propagating along negative xaxis with a velocity of \( 10^{4} \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
The ratio of volumes of \( C H_{3} C O O H \)
\( (0.1 N) \) to \( C H_{3} C O O N a(0.1 N) \)
required to prepare a buffer solution of \( p H 5.74 \) is:
(Given \( \left.p K_{a} \text { of } C H_{3} C O O H \text { is } 4.74\right) \)
A . 10: 1
B. 5: 1
\( c \cdot 1: 5 \)
D. 1: 10
Subject: Maths
The value of \( f(0) \) so that the function \( f(x)=\frac{\sqrt{1+x}-\sqrt[3]{1+x}}{x} \)
becomes continuous, is equal to
A \( \cdot \frac{1}{6} \)
B. \( \frac{1}{4} \)
\( c \cdot 2 \)
D.
Subject: Physics
A telephone cable at a place has four long straight horizontal wires carrying a current of \( 1.0 \mathrm{A} \) in the same direction
east to west. The earth's magnetic field at the place is \( 0.39 \mathrm{G}, \) and the angle of
dip is \( 35^{\circ} . \) The magnetic declination is
nearly zero. What are the resultant magnetic fields at points 4.0 \( \mathrm{cm} \) below the cable?
Subject: Physics
Two blocks of masses \( \boldsymbol{m}_{1}=\mathbf{5} k \boldsymbol{g} \) and
\( m_{2}=6 k g \) are connected by a light
string passing over a light frictionless
pulley as shown. The mass \( m_{1} \) is at rest
on the inclined plane and mass \( m_{2} \)
hangs vertically. If the angle of incline
\( \boldsymbol{\theta}=\mathbf{3 0}^{\mathbf{0}} \) what is magnitude and
direction of force of friction on the \( 5 \mathrm{kg} \)
block
\( \left(g=10 m s^{-2}\right) \)
A. 35 N up the plane
B. 35 N down the plane
c. 85 N up the plane
D QEN down the plane
Subject: Maths
If \( f(x) \) is a differentiable function in the
interval \( (0, \infty) \) such that \( f(1)=1 \) and \( \lim _{t \rightarrow x} \frac{t^{2} f(x)-x^{2} f(t)}{t-x}=1 \)
A \( \cdot \frac{25}{9} \)
в. \( \frac{23}{18} \)
c. \( \frac{13}{6} \)
D. \( \frac{31}{18} \)
Subject: Chemistry
The wave number of electromagnetic radiation emitted during the transition of electron in between the two levels of
\( \mathrm{Li}^{2+} \) ion whose principal quantum numbers sum is 4 and difference is 2
is:
A . \( 3.5 R \)
в. \( 4 R \)
\( c .8 R \)
D. \( 8 / 9 R \)
Subject: Chemistry
A solution of sodium sulphate in water is electrolysed using inert electrodes. The products at the cathode and anode are respectively:
A. \( H_{2}, O_{2} \)
в. \( O_{2}, H_{2} \)
\( \mathrm{c} \cdot O_{2}, N a \)
\( \mathrm{D} \cdot \mathrm{O}_{2}, \mathrm{SO}_{2} \)
Subject: Chemistry
Arrange the following in order of decreasing acidic strength.pnitrophenol (I), p-cresol (II), m-cresol
(III), phenol (IV):
\( A \cdot|>||>|||>\mid V \)
B. IV>|||> || > |
C. \( |>|||>||>\mid V \)
D. \|\|\( >\|>1>1 v \)
Subject: Physics
Assertion
According to Newton's third law, the sum of action and reaction forces on a
body is equal to zero.
Reason
The action and reaction forces act on
different bodies.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Chemistry
Assertion
Most polycyclic aromatic hydrocarbon
do not dissolve easily in water.
Reason
They stick to solid particles and settle to the bottoms of lakes or rivers.
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
The decreasing order of hydration
enthalpies earth metal ions is:
\( \mathbf{A} \cdot B e^{2+}>B a^{2+}>C a^{2+}>S r^{2+} \)
B \( \cdot B a^{2+}>S r^{2+}>C a^{2+}>M g^{2+}>B e^{2+} \)
\( \mathbf{C} \cdot B e^{2+}>C a^{2+}>M g^{2+}>B e^{2+} \)
D \( \cdot B e^{2+}>M g^{2+}>C a^{2+}>S r^{2+}>B a^{2+} \)
Subject: Physics
\( A \) nail has \( 2 m^{2} \) at one end and \( \frac{1}{100} m^{2} \) at other end. A force of \( 10 N \) is applied
on the first end. Calculate the pressure
acting on the wall? The answer is \( \boldsymbol{p} \times \)
\( 10^{3} P a \) then \( p= \)
Subject: Maths
Matrices \( A \) and \( B \) satisfy \( A B=B^{-1} \) where \( \boldsymbol{B}=\left[\begin{array}{cc}2 & -1 \\ 2 & 0\end{array}\right], \) then
find without finding \( A^{-1}, \) the matrix \( X \)
satisfying \( \boldsymbol{A}^{-1} \boldsymbol{X} \boldsymbol{A}=? \)
A. \( B \)
в. \( B^{2} \)
c. \( A \)
D. None of these
Subject: Maths
The differential equation of the family of straight lines whose slope is equal to \( y \) intercept.
A \( \cdot(x+1) \frac{d y}{d x}-y=0 \)
B. \( \left(x+1 \frac{d y}{d x}+y=0\right. \)
c. \( \frac{d y}{d x}=\frac{x-1}{y-1} \)
D. \( \frac{d y}{d x}=\frac{x+1}{y+1} \)
Subject: Chemistry
(a) Ethanoic acid reacts with ethanol in
the presence of concentrated \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
(i) Name the organic product formed.
(ii) Give the name of the reaction.
(iii) What is the role of \( H_{2} S O_{4} \) in the
above reaction?
(b) The molecular formula of an organic
compound is \( C H_{3} C O O H \)
(i) Write the IUPAC name of this
compound.
(ii) Give one use of this compound.
Subject: Chemistry
The percentage of \( C, H \) and \( N \) in an
organic compound are \( 40 \%, 13.3 \% \) and \( 46.7 \% \) respectively then its empirical
formula is:
A. \( C_{3} H_{13} N_{3} \)
в. \( C H_{2} N \)
c. \( C H_{4} N \)
D. \( C H_{6} N \)
Subject: Chemistry
Match list I (atomic number of the
elements) with list II (position in the periodic table) and select the correct
answer using the codes given below the
lists.
\begin{tabular}{c|cc|c} 
& List I & & List II \\
A. & 52 & 1. & s-block \\
B & 56 & 2. & p-block \\
c. & 57 & 3. & d-block \\
D. & 60 & 4. & f-block
\end{tabular}
A. \( A-2, B-1, C-3, D-4 \)
B. \( A-2, B-1, C-4, D-3 \)
\( c \)
\( A-1, B-2, C-3, D-4 \)
D. \( A-1, B-2, C-4, D-3 \)
Subject: Maths
Let \( \mathbf{g}(\mathbf{x})=\log (\mathbf{f}(\mathbf{x})) \) where \( \mathbf{f}(\mathbf{x}) \) is a
twice differentiable positive function on \( (0, \infty) \) such that \( f(x+1)=x f(x) \)
Then, for \( \mathbf{N}=\mathbf{1}, \mathbf{2}, \mathbf{3}, \dots \mathbf{g}^{\prime \prime}\left(\mathbf{N}+\frac{\mathbf{1}}{\mathbf{2}}\right)- \)
\( \mathrm{g}^{\prime \prime}\left(\frac{1}{2}\right)= \)
A \( \cdot-4\left(1+\frac{1}{9}+\frac{1}{25}+\ldots+\frac{1}{(2 \mathrm{N}-1)^{2}}\right) \)
B. \( 4\left(1+\frac{1}{9}+\frac{1}{25}+\ldots+\frac{1}{(2 \mathrm{N}-1)^{2}}\right) \)
c. \( -4\left(1+\frac{1}{9}+\frac{1}{25}+\ldots+\frac{1}{(2 \mathrm{N}+1)^{2}}\right) \)
D \( 4\left(1+\frac{1}{9}+\frac{1}{25}+\ldots+\frac{1}{(2 \mathrm{N}+1)^{2}}\right) \)
Subject: Maths
If \( \boldsymbol{f}: \boldsymbol{A} \rightarrow \boldsymbol{B} \) is a bijective function then
\( \boldsymbol{f}^{-1} \circ \boldsymbol{f}= \)
A \( \cdot f \circ f^{-1} \)
B. \( f \)
\( c \cdot f^{-1} \)
D. \( I_{A} \) (Identity map of the set \( A \) )
Subject: Physics
A vessel of volume 4 litres contains a
mixture of 8 gms of \( \mathrm{O}_{2}, 14 \) gms of \( \mathrm{N}_{2} \) and
22 gms of \( \mathrm{CO}_{2} \) at \( 27^{0} \mathrm{C} \). The pressure
exerted by the mixture is
A. 10 atmosphere
B. \( 5 \times 10^{6} \mathrm{N} / \mathrm{m}^{2} \)
C \( .7 .79 \times 10^{5} \mathrm{N} / \mathrm{m}^{2} \)
D. \( 6 \times 10^{5} 5 \mathrm{N} / \mathrm{m}^{2} \)
Subject: Chemistry
For the reaction, \( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{B} \boldsymbol{r}_{2}(\boldsymbol{g}) \rightarrow \)
\( 2 H B r(g), \) then reaction rate\( = \)
\( \boldsymbol{K}\left[\boldsymbol{H}_{2}\right]\left[\boldsymbol{B} \boldsymbol{r}_{2}\right]^{1 / 2} . \) Which statement is
true about this reaction:
A. The reaction is of second order
B. Molecularity of the reaction is \( 3 / 2 \)
c. The unit of \( k \) is sec \( ^{-1} \)
D. Molecularity of the reaction is 2
Subject: Physics
Two parallel wires on of length 1 m and
other is infinitive, are lying at a
distance of \( 2 m . \) If the current flowing in
each wire is 1 ampere then the force between them will be-
A \( \cdot 2 \times 10^{-7} N \)
В. \( 10^{-7} N \)
c. \( 0.5 N \)
D. \( 10^{7} N \)
Subject: Physics
The nucleus \( _{92} \mathrm{X}^{234} \) emits \( 3 \alpha \) -particles and then one \( \beta \) -particle. The end
product will be
A \( \cdot 84 \mathrm{Y}^{222} \)
В. \( 87 \mathrm{Y}^{228} \)
\( \mathbf{c} \cdot_{84} \mathbf{Y}^{228} \)
D・ \( _{87} \mathrm{Y}^{222} \)
Subject: Maths
The shortest distance between the lines
\( \frac{x-3}{3}=\frac{y-8}{-1}=\frac{z-3}{1} \) and
\( \frac{\boldsymbol{x}+\mathbf{3}}{\mathbf{- 3}}=\frac{\boldsymbol{y}+\mathbf{7}}{\mathbf{2}}=\frac{\boldsymbol{z}-\mathbf{6}}{\mathbf{4}} \) is:
A \( \cdot 2 \sqrt{30} \)
B. \( \frac{7}{2} \sqrt{30} \)
\( c .3 \)
D. \( 3 \sqrt{30} \)
Subject: Physics
For the coil shown in the figure what
must be done to induce a clockwise
current?
A. Either move the north pole of a magnet down into the coil, or move the south pole of the magnet up out of the coil
B. Either move the south pole of a magnet down into the coil, or move the north pole of the magnet up out of the coil
C. Move either pole of the magnet down into the coil
D. Move either pole of the magnet up into the coil
Subject: Physics
An amplifier has a voltage gain \( \boldsymbol{A}_{\boldsymbol{v}}= \)
1000. The voltage gain in dB is:
\( \mathbf{A} \cdot 30 d B \)
В. \( 60 d B \)
c. \( 3 d B \)
\( \mathbf{D} \cdot 20 d B \)
Subject: Chemistry
Assertion: In a Daniell cell, electrons
flow from zinc electrode to copper
electrode outside the cell.
Reason: In Daniell cell, Zn electrode is
anode and Cu is cathode.
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
Subject: Biology
Assertion
Diatom frustules pile up at the bottom of water bodies and form big heaps of diatomite or diatomaceous earth.
Reason

Diatom frustules are resistant to
natural degradation.
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
An equilateral triangle has area \( A \sqrt{3} \) Three circles are drawn with their
centres at the vertices of the triangle. Diameter of each circle is equal to the
length of each side of the triangle. The area of the triangle NOT included in any
of the three circles is
A \( \cdot A\left(\sqrt{3}-\frac{\pi}{6}\right) \)
B . \( A(\pi-\sqrt{3}) \)
c. \( A(3 \pi-\sqrt{3}) \)
D. \( A\left(\sqrt{3}-\frac{\pi}{2}\right) \)
Subject: Chemistry
Assertion
Fruit formation process shows increase
in rate with passage of time.
Reason
Hydrolysis of ester is a homogeneous autocatalytic reaction.
A. Both Assertion and Reason are correct and the Reason
is the correct explanation of the Assertion
B. Both Assertion and Reason are correct but the Reason is not the correct explanation of the Assertion
C. The Assertion is correct but the Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
If a rigid body is subjected to two forces \( \vec{F}_{1}=2 \hat{i}+3 \hat{j}+4 \hat{k} \) acting at (3,3,4)
and \( \overrightarrow{\boldsymbol{F}}_{2}=-2 \hat{\boldsymbol{i}}-\boldsymbol{3} \hat{\boldsymbol{j}}-\boldsymbol{4} \hat{\boldsymbol{k}} \) acting at
(1,0,0) then which of the following is
(are) true?
A. The body is in equilibriumm
B. The body is under the influence of a torque only
C. The body is under the influence of a single force
D. The body is under the influence of a force together with torque
Subject: Chemistry
Nodal planes of \( \pi \) bonds in benzene are
located in:
A. molecular plane
B. one in a molecular plane and two in a plane perpendicular to the molecular plane which contains C one in the molecular plane and two in the plane perpendicular to the molecular plane which contains Cone in the molecular plane and two in plane perpendicular to molecular plane which contains \( \mathrm{C} \mathrm{C} \sigma \) bonds
C. one in molecular plane and two in plane perpendicular to molecular plane which contain \( \mathrm{C} \mathrm{C} \sigma \) bond and \( \mathrm{C}-\mathrm{H} \) \( \sigma \) bond.
D. perpendicular to molecular plane which bisect benzene ring in two equal half
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \frac{\boldsymbol{x}(\mathbf{1}+\boldsymbol{a} \cos \boldsymbol{x})-\boldsymbol{b} \sin \boldsymbol{x}}{\boldsymbol{x}^{3}}, \boldsymbol{x} \neq \)
0 \( \operatorname{and} f(0)=1, \) then values if 'a' and 'b'
so that 'f' is continuous are
A \( \cdot \frac{5}{2}, \frac{3}{2} \)
B. \( \frac{5}{2}, \frac{-3}{2} \)
c. \( -\frac{5}{2}-\frac{3}{2} \)
D. \( \frac{1}{2}-\frac{3}{2} \)
Subject: Physics
The angle between the vectors \( (\hat{i}+\hat{j}+ \)
\( \hat{\boldsymbol{k}}) \) and \( (\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}}-\hat{\boldsymbol{k}}) \) is:
A \( \cdot \sin ^{-1} \frac{\sqrt{8}}{3} \)
в. \( \sin ^{-1} \frac{1}{3} \)
c. \( \cos ^{-1} \frac{\sqrt{8}}{3} \)
D. \( \cos ^{-1} \sqrt{\frac{8}{3}} \)
Subject: Maths
The order of \( \left(\frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}\right)^{2}+\left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)^{3}+\boldsymbol{3} \boldsymbol{y}= \)
\( x^{4} \) is:
\( \mathbf{A} \cdot \mathbf{3} \)
B.
\( c \cdot 2 \)
D.
Subject: Maths
If at each point of the curve \( y=x^{3}- \)
\( a x^{2}+x+1, \) the tangent is inclined at
an acute angle with the positive direction of the \( x \) -axis, then
\( \mathbf{A} \cdot a>0 \)
в. \( a \leq \sqrt{3} \)
c. \( -\sqrt{3} \leq a \leq \sqrt{3} \)
D. none of these
Subject: Chemistry
A compound of phosphorous and sulphur contains 1.24 g of phosphorous in 2.2 g of the compound. The formula of the compound is:
A \( \cdot P_{4} S_{3} \)
в. \( P_{3} S_{4} \)
\( \mathrm{c} \cdot P_{3} S_{2} \)
D. \( P_{2} S_{3} \)