AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
At a given place on earth's surface the horizontal component of earths
magnetic field is \( 2 \times 10^{-5} T \) and
resultant magnetic field is \( 2 \times 10^{-5} \mathrm{T} \)
and resultant magnetic field is \( 4 \times \)
\( \mathbf{1 0}^{-5} \mathrm{T} . \) The angle of dip at this place is
A \( .30^{\circ} \)
В. \( 60^{\circ} \)
\( c \cdot 90^{0} \)
D. \( 45^{\circ} \)
Subject: Chemistry
\( I P_{1} \) and \( I P_{2} \) of Mg are 178 and \( 348 \mathrm{K} \)
cal \( m o l^{-1} . \) The enthalpy required for the reaction \( M g \rightarrow M g^{2+}+2 e^{-} \) is:
A \( . .+170 \) K.cal
B. +526 K.cal
c. -170 K.cal
D . -526 K.cal
Subject: Physics
Write the principle on which the
working of a metre bridge is based. In an experiment on meter bridge, student obtains the balance point at the point \( J \)
such that \( A J=40 c m \), as shown in
figure. The values of \( \boldsymbol{R} \) and \( \boldsymbol{X} \) are both
doubled and then interchanged. Find the new position of the balance point. If the galvanometer and battery are also interchanged how will the position of
balance point be affected
Subject: Maths
A cube of ice melts without changing its shape at the uniform rate of
\( 4 \mathrm{cm}^{3} / \) min. The rate of change of the surface area of the cube, in \( c m^{2} / \)min
when the volume of the cube is \( 125 \mathrm{cm}^{3} \)
is
A. -4
в. \( -\frac{16}{5} \)
c. \( -\frac{16}{6} \)
D. \( -\frac{8}{15} \)
Subject: Maths
Factorise the following: \( (5 x-6 y)^{3}+ \)
\( (7 z-5 x)^{3}+(6 y-7 z)^{3} \)
A. \( 3(5 x-6 y)(7 z-5 x)(6 y-7 z) \)
в. \( (x-6 y)(7 z-x)(y-7 z) \)
c. \( 3(x-6 y)(z+5 x)(8 y-z) \)
D. \( (x-y)(7 z+5 x)(6 y-7 z) \)
Subject: Maths
\( \operatorname{Let} \mathbf{P}=(\mathbf{1}, \mathbf{0},-\mathbf{1}) \boldsymbol{Q}=(-\mathbf{1}, \mathbf{2}, \mathbf{0}) \mathbf{R}= \)
\( (2,0,-3) S=(3,-2,-1), \) then the
length of the component of \( R S \) on \( P Q \) is
A . \( 1 / 3 \)
B . \( 2 / 3 \)
c. \( 4 / 3 \)
D. \( 5 / 3 \)
Subject: Chemistry
\( \mathrm{Cr} \mathrm{O}_{2} \mathrm{Cl}_{2} \) is formed while testing:
A \( \cdot N O_{3}^{-} \)
B. \( C l^{-} \)
\( \mathrm{c} \cdot \mathrm{Cr}^{3} \)
D. \( F e^{3} \)
Subject: Physics
A block of mass \( 20 k g \) is pushed with a
horizontal force of \( 90 N . \) If the coefficent
of static \( \& \) kinetic friction are \( 0.4 \& 0.3 \)
the frictional force acting on the block
is
A. \( 90 N \)
N
в. \( 80 N \)
\( c \cdot 60 N \)
D. \( 30 N \)
Subject: Physics
Assertion
When a battery is short-circuited, the
terminal voltage is zero.
Reason
In the situation of a short-circuit, the
current is zero
A. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct.
Subject: Physics
If density of the earth is doubled keeping its radius constant, then acceleration due to gravity (present
value \( 9.8 m / s^{2} \) ) will be:
A \( \cdot 2.45 \mathrm{m} / \mathrm{s}^{2} \)
B . \( 4.9 \mathrm{m} / \mathrm{s}^{2} \)
c. \( 9.8 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 19.6 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Chemistry
In an equilibrium, \( \boldsymbol{A}+\boldsymbol{B} \rightleftharpoons \boldsymbol{C}+\boldsymbol{D}, \boldsymbol{A} \)
and \( B \) are mixed in a vessel at
temperature \( \boldsymbol{T} \). The initial
concentration of \( A \) was twice the initial
concentration of \( B \). After the
equilibrium has reached, a
concentration of \( C \) was thrice the
equilibrium concentration of \( \boldsymbol{B} \)
Calculate \( \boldsymbol{K}_{\boldsymbol{c}} \)
(Nearest integer)
Subject: Physics
A beam of light consisting of red green and blue colours is incident on a right
angled prism. The refractive index of the
material of the prism for the above red,
green and blue wavelengths are 1.39 1.44 and \( 1.47, \) respectively. The prism
will:
XII
Gree
Red
A. separate the red colour part from the green and blue colours
B. separate the blue colour part front the red and green colours
C. separateall all three colours from one another
D. not separate the three colours at all
Subject: Biology
Which of the following correctly shows the difference in the products of glycolysis and Krebs cycle per glucose molecule?
A. Glycolysis - 4 ATP, 1 reduced NAD, Krebs Cycle - 4 reduced NAD, 1 reduced FAD, 1 ATP
B. Glycolysis - 4 ATP, 2 reduced NAD, Krebs Cycle - 8 reduced NAD, 2 reduced FAD, 2 ATP
c. Glycolysis - 2 ATP, 1 reduced NAD, Krebs Cycle - 3 reduced NAD, 1 reduced FAD, 1 ATP
D. Glycolysis - 2 ATP, 2 reduced NAD, Krebs Cycle - 6 reduced NAD, 2 reduced FAD, 2 ATP
Subject: Physics
The electric potential at a point \( \boldsymbol{P} \) inside a uniformly charged conducting sphere of radius \( R \) and charge \( Q \) at a
distance \( r \) from the centre is :
A . 0
B . \( \infty \)
c. \( \frac{Q}{4 \pi \epsilon_{0} r} \)
D. \( \frac{Q}{4 \pi \epsilon_{0} R} \)
Subject: Chemistry
What volume of air (containing \( 20 \% O_{2} \) by volume) will be required to burn
completely \( 10 \mathrm{cm}^{3} \) each of methane and
acetylene
\( \boldsymbol{C H}_{4}+\mathbf{2 O}_{2} \longrightarrow \boldsymbol{C} \boldsymbol{O}_{2}+\mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O} \)
\( 2 C_{2} H_{2}+5 O_{2} \longrightarrow 4 C O_{2}+2 H_{2} O \)
Subject: Chemistry
Which of the following reagents can form a phenylhydrazone with dimethyl ketone?
\( \mathbf{A} \cdot\left[N H_{3} O H\right]^{\oplus} C l^{\ominus} \)
в. \( P h N H N H_{2} \)
c. \( N H_{2} N H C O N H_{2} \)
D. \( H C N \)
Subject: Maths
Let \( f(x) \) be defined on \( [0, \pi] \) by \( f(x)= \) \( \left\{\begin{array}{ll}x+a \sqrt{2} \sin x & , 0 \leq x \leq \pi / 4 \\ 2 x \cot x+b & , \frac{\pi}{4}<x \leq \frac{\pi}{2} . \text { If } f \\ a \cos 2 x-b \sin x & , \frac{\pi}{2}<x<\pi\end{array}\right. \)
is continuous on \( [0, \pi] \) then
This question has multiple correct options
A \( a=\frac{\pi}{6} \)
в. \( b=-\frac{\pi}{12} \)
c. \( a=\frac{\pi}{6} \) and \( b=-\frac{\pi}{12} \)
D・ \( a=\frac{\pi}{3} \) and \( b=-\frac{\pi}{12} \)
Subject: Maths
By the graphical method, find whether
the following pair of equations are consistent or not. If consistent, solve
them.
\( \boldsymbol{x}+\boldsymbol{y}=\mathbf{3} \) and \( \mathbf{3} \boldsymbol{x}+\mathbf{3} \boldsymbol{y}=\mathbf{9} \)
Subject: Chemistry
The vapour pressure of water at \( 20^{\circ} \mathrm{C} \) is
17.54 \( m m H g \). Then the vapour pressure
of the water in the apparatus is lowered, decreasing the volume of the gas above the liquid to one half of its initia
volume (temp. constant) is:
A. \( 5.77 \mathrm{mmHg} \)
в. \( 16 \mathrm{mmHg} \)
c. 35.08 mmHg
D. between 8.77 and \( 15.54 \mathrm{mmHg} \)
Subject: Maths
Assertion
Let \( f \) be a real valued function satisfying \( \boldsymbol{f}\left(\frac{\boldsymbol{x}}{\boldsymbol{y}}\right)=\boldsymbol{f}(\boldsymbol{x})-\boldsymbol{f}(\boldsymbol{y}) \) and
\( \lim _{x \rightarrow 0} \frac{f(1+x)}{x}=3 . \) Then the area
bounded by the curve \( y=f(x), \) the \( y- \)
axis and the line \( y=3 \) is \( 3 e . \) sq.unit.
Reason

The function \( f(x) \) is concave down.
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 order to convert aniline to
chlorobenzene, the reagent(s) needed is/are:
A. \( C u C l \)
в. \( \operatorname{NaNO}_{2} / \mathrm{HCl} \) and \( \mathrm{Cu}_{2} \mathrm{Cl}_{2} \)
c. \( C l_{2} / C C l_{4} \)
D. \( C l_{2} / A l C l_{3} \)
Subject: Maths
\( \int \frac{\boldsymbol{x} \boldsymbol{T} \boldsymbol{a} \boldsymbol{n}^{-1} \boldsymbol{x}}{\left(1+\boldsymbol{x}^{2}\right)^{3 / 2}} \boldsymbol{d} \boldsymbol{x}= \)
A. \( \frac{x+\operatorname{Tan}^{-1} x}{\left(1+x^{2}\right)^{3} / 2}+c \)
в. \( \frac{x-\operatorname{Tan}^{-1} x}{\sqrt{\left(1+x^{2}\right)}}+c \)
c. \( \frac{x}{\sqrt{1+x^{2}}}-\operatorname{Tan}^{-1} x+c \)
D. \( \frac{x}{1+x^{2}}+\operatorname{Tan}^{-1} x+c \)
Subject: Maths
If in triangle \( \boldsymbol{X} \boldsymbol{Y} \boldsymbol{Z}, \boldsymbol{X} \boldsymbol{Y}=\boldsymbol{X} \boldsymbol{Z} \) and
\( M, N \) are the mid points of \( X Y, Y Z \) then which one of the following is correct?
\( \mathbf{A} \cdot M N=Y Z \)
в. \( N Y=N Z=M N \)
c. \( M X=M Y=N Y \)
D. \( M N=M X=M Y \)
Subject: Physics
A ray of light is incident normally on the first refracting face of the isosceles
prism of refracting angle A. The ray of light comes out at grazing emergence. If one half of the prism (shaded position) is knocked off, the same ray will:
A \( \cdot \) emerge at an angle of emergence \( \sin ^{-1}\left(\frac{1}{2} \sec A / 2\right) \)
B. not emerge out of the prism
C. emerge at an angle of emergence \( \sin ^{-1}\left(\frac{1}{2} \sec A / 4\right) \)
D. None of these
Subject: Maths
Find the derivative of \( e^{x} x^{n} \log _{a} x \)
A \( \cdot 2 e^{x} x^{n-1}\left\{n \log _{a} x+\frac{1}{\log _{e} a}+x \log _{a} x\right\} \)
В \( \cdot 3 e^{x} x^{n-1}\left\{n \log _{a} x+x \log _{a} x\right\} \)
c. \( e^{x} x^{n-1}\left\{n \log _{a} x+\frac{1}{\log _{e} a}+x \log _{a} x\right\} \)
D. \( e^{x} x^{n-1} \)
Subject: Maths
\( \mathbf{f} \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1}^{2} & \mathbf{2}^{\mathbf{2}} & \mathbf{3}^{2} \\ \mathbf{2}^{\mathbf{2}} & \mathbf{3}^{\mathbf{2}} & \mathbf{4}^{2} \\ \mathbf{3}^{\mathbf{2}} & \mathbf{4}^{\mathbf{2}} & \mathbf{5}^{\mathbf{2}}\end{array}\right] \) then \( |\boldsymbol{A} \boldsymbol{d} \boldsymbol{j} \boldsymbol{A}|= \)
\( A \)
B . 16
\( c \cdot 64 \)
D. 128
Subject: Physics
toppr
Q Type your question_
across the resistor wire AB. A
standard cell which maintains a
constant emf of \( 1.02 \mathrm{V} \) (for very
moderate currents up to a few mA)
gives a balance point at \( 67.3 \mathrm{cm} \) length of the wire. To ensure very low currents drawn from the standard cell, a
very high resistance of 600 \( \mathrm{k} \Omega \) is put in series with it, which is shorted close to
the balance point. The standard cell is
then replaced by a cell of unknown emf
and the balance point found similarly, turns out to be at \( 82.3 \mathrm{cm} \) length of the
wire.(a) What is the value \( \varepsilon ?(b) \) What
purpose does the high resistance of 600
k \( \Omega \) have?(c) Is the balance point
affected by this high resistance?
(d) Is
the balance point affected by the internal resistance of the driver cell?
(e) Would the method work in the above
situation if the driver cell of the
potentiometer had an emf of \( 1.0 \mathrm{V} \) instead of 2.0 V?(f) Would the circuit
work well for determining an extremely small emf, say of the order of a few mV (such as the typical emf of a thermocouple)? If not, how will you modify the
circuit?
Subject: Chemistry
Cumene on reaction with oxygen
followed by hydrolysis gives?
\( \mathbf{A} \cdot C H_{3} O H \) and \( C_{6} H_{5} C O C H_{3} \)
B. \( C_{6} H_{5} O H \) and \( \left(C H_{3}\right)_{2} O \)
\( \mathbf{c} \cdot C_{6} H_{5} O C H_{3} \) and \( C H_{3} O H \)
D. \( C_{6} H_{5} O H \) and \( C H_{3} C O C H_{3} \)
Subject: Physics
Consider the following statements A and B given below and identity the
correct answer.
A) With the help of the relative velocity of rain with respect to man, the direction of the umbrella held by him to save from the rain is determined.
B) A parallelogram has sides represented by vectors \( \vec{a} \) and \( \overrightarrow{\mathrm{b}} \). If \( \overrightarrow{\mathrm{d}}_{1} \) and
\( \overrightarrow{\mathrm{d}}_{2} \) are the
diagonal vectors of the parallelogram then \( 2\left(\mathrm{a}^{2}+\mathrm{b}^{2}\right)=\mathrm{d}_{1}^{2}+\mathrm{d}_{2}^{2} \)
A. Both A and B are true
B. A is true but B is false
c. \( B \) is true but \( A \) is false
D. Both A and B are false
Subject: Biology
Out of the following statements, which
one is true?
A. DNA is single stranded, RNA is double stranded
B. There is only one type of RNA, whereas there are many types of DNA.
c. DNA synthesizes RNA, but RNA generally cannot synthesize DNA.
D. DNA bases are adenine, guanine, cytosine, uracil and RNA has adenine, guanine, cytosine, thymine
Subject: Physics
Assertion: Thin films such a soap
bubble or a thin layer of oil on water show beautiful colours when
illuminated by white light. Reason: It happens due to the interference of light reflected from the upper surface of the thin film.
A. If both assertion and reason are true but the reason is the correct explanation of assertion
B. If both assertion and reason are true but the reason is not the correct explanation ofassertion
c. If assertion is true but reason is false
D. If both the assertion and reason are false
E. If reason is true but assertion is false
Subject: Physics
A dog of mass \( m \) is walking on a pivoted
disc of radius \( R \) and mass \( M \) in a circle
of radius \( R / 2 \) with an angular
frequency \( n . \) The disc will revolve in
opposite direction with frequency:
\( A \cdot \frac{m n}{M} \)
B. \( \frac{m n}{2 M} \)
c. \( \frac{2 m n}{M} \)
D. \( \frac{2 M n}{M} \)
Subject: Physics
If two forces \( \boldsymbol{F}_{1}=\mathbf{2} \hat{\mathbf{i}}+\mathbf{4} \hat{\boldsymbol{k}} \boldsymbol{F}_{2}=\mathbf{3} \hat{\boldsymbol{j}}+ \)
\( 2 \hat{k} \) acts on one body and displaces it from (1,0,0) to (2,1,1) find net work done
Subject: Chemistry
Which of the following represents the
oxidation half-reaction for the
unbalanced redox equation?
\( \boldsymbol{C u}+\boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \rightarrow \boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2}+\boldsymbol{N} \boldsymbol{O}_{2} \)
A \( \cdot C u^{2+}+2 e^{-} \rightarrow C u \)
в. \( C u \rightarrow C u^{2+}+2 e^{-} \)
c. \( N O_{3}^{-} \rightarrow N O_{2}+1 e \)
D. \( 2 H^{+}+N O_{2}^{-}+1 e^{-} \rightarrow N O_{2}+H_{2} O \)
Subject: Chemistry
The facts that are true among the
following are:

This question has multiple correct options
A. The electron affinity of oxygen is less than that of \( s \) but greater than that of Se
B. For Polonium, +4 oxidation state is more stable than
+6 state
C. S-S-S bond angle is \( 60^{\circ} \) in \( S_{8} \) ring
D. Dissociation constant is minimum for \( H_{2} O \) among
the hydrides of 16 th group elements.
Subject: Physics
A pure inductor of self inductance \( 1 \mathrm{H} \) is connected across an alternating voltage of \( 115 \mathrm{V} \) and frequency \( 60 \mathrm{Hz} \). The
reactance \( X_{L} \) and peak current
respectively are
в. 337.12, 0.43 А
c. 377.1\Omega, 0.43 A
D. 3.7\Omega, 0.42 A
Subject: Physics
Two particles A and B perform SHM along the same straight line with the same amplitude 'a', same frequency 'f and same equilibrium position '0'. The greatest distance between them is found to be \( 3 a / 2 \). at some instant of
time they have the same displacement from mean position. What is this displacement?
A \( \cdot \frac{a}{\sqrt{2}} \)
B. \( a \sqrt{7} / 4 \)
c. \( \sqrt{7} a / 4 \)
D. 3a/4
Subject: Chemistry
Match the following
Codes:
\[
P Q R S
\]
(A) 3412
\( \begin{array}{llll}\text { (B) } & 2 & 1 & 3 & 1\end{array} \)
\( (C) \quad 3142 \)
\( (D) \quad 4123 \)
(Species)
(Relation)
Subject: Physics
A stone falls from a balloon that is
descending at a uniform rate of \( 12 m s^{-1} \)
The displacement of the stone from the point of release after 10 sec is :
A. \( 490 \mathrm{m} \)
B. \( 510 \mathrm{m} \)
c. \( 610 \mathrm{m} \)
D. 725m
Subject: Maths
Using graph paper, (take \( 2 \mathrm{cm}=1 \) unit on both axis), plot \( \boldsymbol{A}(-\mathbf{4}, \mathbf{2}) \) and \( \boldsymbol{B}(\mathbf{2}, \mathbf{4}) \)
\( A^{\prime} \) is the image of \( A \) when reflected in
the \( y \) -axis. Plot it on the graph paper
and write the coordinates of \( A^{\prime} . B^{\prime} \) is
the image of \( B \) when reflected about the
line \( A A^{\prime} . \) Join \( A-B-A^{\prime}-B^{\prime} \) and
name the quadrilateral
Subject: Maths
The value of \( \lim _{n \rightarrow \infty} \frac{\sqrt[4]{n^{5}+2}-\sqrt[3]{n^{2}+1}}{\sqrt[5]{n^{4}+2}-\sqrt[2]{n^{3}+1}} \)
is
\( \mathbf{A} \cdot \mathbf{1} \)
B.
c. -1
D. \( \infty \)
Subject: Maths
If \( f^{\prime}(x)=x+\frac{1}{x}, \) then value of \( f(x) \) is
A \( \cdot x^{2}+\log x+c \)
в. \( \frac{x^{2}}{2}+\log x+c \)
c. \( \frac{x}{2}+\log x+c \)
D. None of these
Subject: Chemistry
In terms of polar character which one of
the following orders is correct?
\( \mathbf{A} \cdot H_{2} S<N H_{3}<H_{2} O<H F \)
B. \( H_{2} S<N H_{3}<H_{2} S<H F \)
\( \mathbf{c} \cdot H F>H_{2} O<N H_{3}<H_{2} S \)
\( \mathbf{D} \cdot N H_{3}<H_{2} O<H F<H_{2} S \)
Subject: Physics
The potentiometer wire \( A B \) is \( 100 \mathrm{cm} \) long. The value of \( R \) for which the galvanometer shown no deflection, when \( A C=40 \mathrm{cm} \) shown in figure is
\( A \cdot 13 \Omega \)
В. \( 17 . \)
\( c \cdot 15 \Omega \)
D. 21\Omega
Subject: Physics
When two capacitors are joined in series the resultant capacity is \( 2.4 \mu F \) and when the same two are joined in parallel the resultant capacity is \( 10 \mu F \). Their individual capacities are :
\( \mathbf{A} \cdot 7 \mu F, 3 \mu F \)
в. \( 1 \mu F, 9 \mu F \)
\( \mathbf{c} \cdot 6 \mu F, 4 \mu F \)
D. \( 8 \mu F, 2 \mu F \)
Subject: Physics
Assertion
Two equipotential surfaces cannot cut
each other.
Reason
Two equipotential surfaces are paralle
to each other.
A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C. If Assertion is correct but Reason is incorrect.
D. If Assertion is incorrect but Reason is correct.
Subject: Maths
If Rolles theorem holds for the function
\( \boldsymbol{f}(\boldsymbol{x})=\mathbf{2} \boldsymbol{x}^{3}+\boldsymbol{b} \boldsymbol{x}^{2}+\boldsymbol{c} \boldsymbol{x}, \boldsymbol{x} \in[-1,1] \) at
the point \( x=\frac{1}{2} \) then \( 2 b+c \) equals
\( A \)
B.
\( c \cdot 2 \)
\( D \cdot-3 \)
Subject: Biology
toppr
Q Type your question-
number of different amino acids in the
beta hemoglobin chain of various
organisms compared to the human beta chain.

Organism Name of different amino acids
Human
Mouse 27
Frog 68
Monkey 11
Lamprey 125
Chicken
Gibbon
Which of the following organisms are closely related to humans, based on hemoglobin amino acid sequence?
A. Mouse
в. Monkey
c. chicken
D. Gibbon
E. Lampre
Subject: Physics
In a meter bridge, the balance point is
found at a distance \( l_{1} \) with resistances
\( \mathrm{R} \) and \( \mathrm{S} \) as shown in the figure
An unknown resistance \( X \) is now
connected in parallel to the resistance and the balance point is found at a
distance \( l_{2} \). Obtain a formula for \( X \) in
terms of \( l_{1}, l_{2} \) and \( S \)
Subject: Physics
A body of mass \( m \) starts moving with
velocity \( V_{0} \) at point \( A \) on a frictionless
path as shown in the figure.

The speed of the body at point \( B \) will be:
A \( . \) zero
B. \( V_{0} \)
c. \( \frac{v_{0}}{2} \)
D. \( 2 V_{0} \)
Subject: Maths
If \( \left(\frac{1+i}{1-i}\right)^{x}=1, \) then
A. \( x=2 n \), where \( n \) is any positive integer
B. \( x=4 n+1 \), where \( n \) is any positive integer
C. \( x=2 n+1, \) where \( n \) is any positive integer
D. \( x=4 n \), where \( n \) is any positive integer
Subject: Chemistry
In which of the following reactions, the product obtained is tert-butyl methyl ether?
B. \( \quad H_{3} C-\underset{C}{C}^{C H_{3}}-B r+C H_{3} O H \stackrel{O H^{-} N a}{\rightarrow} \)
c.
\[
C H_{3} B r+N a^{+} O^{-}-\underset{C_{3}}{C_{3}}^{C H_{3}}-C H_{3} \rightarrow
\]
D. \( C H_{3}-O^{-} N a^{+}+C H_{3}-C_{C}-B r \rightarrow \)
\[
_{C H_{3}}^{-}
\]
Subject: Maths
Tickets numbered from 1 to 30 are
mixed up and then a ticket is drawn at
random. What is the probability that the
drawn ticket has a number which is
divisible by both 2 and \( 6 ? \)
A \( \cdot \frac{1}{2} \)
B. \( \frac{2}{5} \)
\( c \cdot \frac{8}{15} \)
D.
Subject: Chemistry
In the following reaction.
\( \left[\boldsymbol{C u}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{3} \boldsymbol{O} \boldsymbol{H}\right]^{+}+ \)
\( \left[\boldsymbol{A l}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{3+} \longrightarrow\left[\boldsymbol{C u}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{4}\right]^{2+}+ \)
\( \left[\boldsymbol{A l}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{5}(\boldsymbol{O} \boldsymbol{H})\right]^{2+} \)
\( (\boldsymbol{A}) \)
\( (B) \)
\( (C) \)
\( (D) \)
This question has multiple correct options
A \( .(A) \) is an acid and \( (B) \) is a base
B. \( (A) \) is a base and \( (B) \) is an acid
C. \( (C) \) is the conjugate acid of \( (A) \) and \( (D) \) is the conjugate base of \( (B) \)
D. \( (C) \) is the conjugate base of \( (A) \) and \( (D) \) is the conjugate acid of \( (B) \)
Subject: Physics
A conductor of length \( I \) has a
nonuniform cross-section. The radius of
cros-ssection varies linearly from \( a \) to \( b \)
Find the resistance of the material is \( \boldsymbol{p} \)
Find the resistance of the conductor
across its ends.
A \( \cdot \frac{2 \rho l}{\pi a b} \)
в. \( \frac{\rho l}{\pi a b} \)
c. \( \frac{2 \rho l}{9 \pi a b} \)
D. \( \frac{4 \rho l}{5 \pi a b} \)
Subject: Biology
Assertion : Phenylketonuria is a recessive hereditary disease caused by
the body's failure to oxidize an amino acid phenylalanine to tyrosine, because of a defective enzyme

Reason : It results in the presence of phenylalanine in the urine
A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
c. If the assertion is true but the reason is false
D. If both the assertion and reason are false
E. If the assertion is false but reason is true
Subject: Physics
A magnet has a pole strength of 1000 milli amp.m. The magnetic field intensity at a distance of \( 10 \mathrm{cm} \) from its North pole
is
\( \mathbf{A} \cdot \frac{25}{\pi} A / m \)
B . \( \frac{\pi}{25} A / m \)
\( \mathbf{c} \cdot \frac{100}{\pi} A / m \)
D \( \cdot \frac{\pi}{100} A / m \)
Subject: Maths
If \( f(x)=\frac{x^{2}-9}{x^{2}-2 x-3}, x \neq 3 \) is
continuous at \( x=3, \) then which one of
the following is correct?
A. \( f(3)=0 \)
B. \( f(3)=1.5 \)
c. \( f(3)=3 \)
D. \( f(3)=-1.5 \)
Subject: Chemistry
Assertion
Orbit and orbital are synonymous.
Reason
A circular path around the nucleus in
which an electron moves is called orbit
or orbital.
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
The focus of an ellipse is at the origin. The directrix is the line \( x=4 \) and its
eccentricity is \( \frac{1}{2} \) then length of its semi major axis is
A \( \cdot \frac{2}{3} \)
B. \( \frac{4}{3} \)
\( c \cdot \frac{5}{3} \)
D. \( \frac{8}{3} \)
Subject: Physics
A metal wire length \( L \), cross sectional
area \( A \) and Young's modulus \( Y \) is
stretched by a variable force \( \boldsymbol{F} . \boldsymbol{F} \) is
varying in such a way that \( \boldsymbol{F} \) is always
slightly greater than the elastic forces or resistance in the wire. When the
elongation in the wire is \( l \), up to this
instant
This question has multiple correct options
A \( \cdot \) The work done by \( F \) is \( \frac{Y A l^{2}}{2 L} \)
B. The work done by \( F \) is \( \frac{Y A l^{2}}{L} \)
C the elastic potential energy stored in wire is \( \frac{Y A l^{2}}{2 L} \)
D. No energy is lost during elongation
Subject: Physics
A potential difference of \( 20 \mathrm{V} \) is needed to make a current of \( 0.05 \mathrm{A} \) flow through a resistor. What potential difference is needed to make a current of \( 300 \mathrm{mA} \)
flow through the same resistor?
A. \( 60 v \)
B. 1200
c. \( 40 v \)
D. 150V