AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Biology
Assertion
Homo habilis was the first tool maker.
Reason : He was cave-dweller.
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
Two bodies \( X \) and \( Y \) carry charges \( -6.6 \mu C \) and \( -5 \mu C \).How many electrons should be transferred from \( X \) and Yso that they
acquire equal charges?
A \( .2 \times 10^{12} \)
B . \( 5 \times 10^{14} \)
\( c \cdot 5 \times 10^{12} \)
D. \( 5 \times 10^{13} \)
Subject: Physics
Two thin infinite parallel sheets have uniform surface densities of charge \( +\boldsymbol{\sigma} \)
and \( -\sigma . \) Electric field in the space
between the two sheets is:
A \( \cdot \sigma / \epsilon_{0} \)
в. \( \sigma / 2 \epsilon_{0} \)
\( \mathbf{c} \cdot 2 \sigma / \epsilon_{0} \)
D. zero
Subject: Physics
Assertion
\( \ln \operatorname{an} A C \) circuit potential difference
across the inductor may be greater than the applied voltage.
Reason
\( \boldsymbol{V}_{C}=\boldsymbol{I} \boldsymbol{X}_{C}, \) whereas \( \boldsymbol{V}=\boldsymbol{I} \boldsymbol{Z} \) and \( \boldsymbol{X}_{\boldsymbol{C}} \)
can be greater than \( Z \) also.
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
Arrange in correct order of density:
A. \( C H_{2} C l_{2}<C H C l_{3}<C C l_{4} \)
в. \( C H_{2} C l_{2}>C C l_{4}>C H C l_{3} \)
c. \( C C l_{4}<C H_{2} C l_{2}<C H C l_{3} \)
D. \( C H_{2} C l_{2}>C C l_{4}<C H C l_{3} \)
Subject: Physics
The velocity of a particle is \( \boldsymbol{v}=\boldsymbol{v}_{0}+ \)
\( g t+f t^{2} . \) If its position is \( x=0 \) at \( t=0 \)
then its displacement after unit time \( (t=1) \) is:
A \( \cdot v_{0}+2 g+3 f \)
B . \( v_{0}+g / 2+f / 3 \)
\( \mathbf{c} \cdot v_{0}+g+f \)
D . \( v_{0}+g / 2+f \)
Subject: Chemistry
Sub-shell electronic configuration of elements \( P, Q \) and \( R \) is given
\( [P, Q \text { and } R \text { are imaginary symbols }] \) \( P=1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{1} \)
\( Q=1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{5} \)
\( \mathrm{R}=1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{2} 4 s^{2} 3 d^{1} \)
(a) One of these electronic
configurations given above is wrong. Which is the element?
(b) Out of \( P, Q \) and \( R \) which has the highest electronegativity?
(c) Can \( P \) and \( Q \) join to form an ionic compound? Justify your answer
Subject: Biology
The diagram of the large intestine of
man is given above. Identify the parts
labelled \( A, B, C, D, E \) and \( F \)
A. A- sigmoid colon, B- Vermiform appendix, CAscending colon, D- Transverse colon, E- Descending colon, F-Caecum.
B. A- Caecum, B- Vermiform appendix, C- sigmoid colon
D- Ascending colon, E- - Transverse colon, F- Descending colon
C. A- Caecum, B- Vermiform appendix, C- Ascending colon, D- Transverse colon, E- Descending colon, FSigmoid colon.
D. A- Sigmoid colon, B- Vermiform appendix, CDescending colon, D- - Transverse colon, E- Ascending colon, F- Caecum
Subject: Physics
The height at which the acceleration due to gravity becomes \( \frac{\mathbf{g}}{\mathbf{g}} \) (where \( \mathbf{g}= \)
the acceleration due to gravity on the surface of the earth) in terms of \( \mathbf{R} \), the
radius of the earth, is:
A . 2 R
B. \( \frac{\mathrm{R}}{\sqrt{2}} \)
c. \( \mathrm{R} / 2 \)
D. \( \sqrt{2} \mathrm{R} \)
Subject: Maths
The equation of the line which is parallel to \( 3 \cos \theta+4 \sin \theta+\frac{5}{r}=0 \)
\( \cos \theta+4 \sin \theta+\frac{10}{r}=0 \) and
equidistant from these lines is
\( ^{\mathbf{A}} \cdot_{3 \cos \theta}+4 \sin \theta-\frac{5}{r}=0 \)
B. \( 3 \cos \theta+4 \sin \theta+\frac{15}{r}=0 \)
c. \( 6 \cos \theta+8 \sin \theta+\frac{15}{r}=0 \)
D. \( 6 \cos \theta+8 \sin \theta-\frac{15}{r}=0 \)
Subject: Maths
If \( \boldsymbol{A}=\{1,2,3,4\}, B=\{1,2,3,5,6\} \)
then find
(i) \( \boldsymbol{A} \cap \boldsymbol{B}, \) (ii) \( \boldsymbol{B} \cap \boldsymbol{A} \)
, (iii) \( \boldsymbol{A}-\boldsymbol{B} \), (iv)
\( \boldsymbol{B}-\boldsymbol{A} \)
What do you observe?
Subject: Physics
Transitions between three energy levels in a particular atom give rise to three spectral lines of wavelengths, in
increasing magnitudes as \( \lambda_{1}, \lambda_{2} \) and \( \lambda_{3} \) Which one of the following equations
correctly relates \( \lambda_{1}, \lambda_{2} \) and \( \lambda_{3} ? \)
A \( \cdot \lambda_{1}=\lambda_{2}-\lambda_{3} \)
B. \( \lambda_{1}=\lambda_{3}-\lambda_{2} \)
c. \( \frac{1}{\lambda_{1}}=\frac{1}{\lambda_{2}}+\frac{1}{\lambda_{3}} \)
D. \( \frac{1}{\lambda_{1}}=\frac{1}{\lambda_{3}}-\frac{1}{\lambda_{2}} \)
Subject: Physics
A toroid having average diameter \( 2.5 \mathrm{m} \) number A turns \( 400, \) current \( =2 A \) and
magnetic field has 10 T what will be induced magnetic field (in amp/m).
A \( \cdot \frac{10^{5}}{4 \pi} \)
в. \( \frac{10^{8}}{4 \pi} \)
c. \( \frac{10^{8}}{2 \pi} \)
D. \( \frac{10^{2}}{2 \pi} \)
Subject: Physics
The Young's modulus of the material of
the wire of length \( L \) and radius \( r \) is
\( \boldsymbol{Y} \boldsymbol{N} / \boldsymbol{m}^{2} . \) If the length is reduced to \( \boldsymbol{L} / \mathbf{2} \)
and radius \( r / 2 \), the Young's modulus
will be:
A \( \cdot \frac{Y}{2} \)
в. \( Y \)
\( c .2 Y \)
D. \( 4 Y \)
Subject: Physics
Two children are at opposite ends of an iron pipe. One strikes his end of the iron pipe with a stone. Find the ratio of times taken by the sound wave in air and in iron to reach the other child. Given,
velocity of sound in air is \( 344 \mathrm{m} s^{-1} \) and that in iron is \( 5130 m s^{-1} \)
A \( \frac{t_{1}}{t_{2}}=14.3 \)
в. \( \frac{t_{1}}{t_{2}}=11.9 \)
c. \( \frac{t_{1}}{t_{2}}=14.9 \)
D. \( \frac{t_{1}}{t_{2}}=10.4 \)
Subject: Physics
Consider the two vectors \( \vec{A}=3 \hat{i}-2 \hat{j} \) and \( \vec{B}=-\hat{i}-4 \hat{j} . \) Calculate \( (a) \vec{A}+ \)
\( \overrightarrow{\boldsymbol{B}} \cdot(\boldsymbol{b}) \overrightarrow{\boldsymbol{A}}-\overrightarrow{\boldsymbol{B}} \)
\( (c)|\overrightarrow{\boldsymbol{A}}+\overrightarrow{\boldsymbol{B}}| \cdot(\boldsymbol{d})|\overrightarrow{\boldsymbol{A}}-\overrightarrow{\boldsymbol{B}}| \)
and \( (e) \) the directions of \( \vec{A}+\vec{B} \) and \( \overrightarrow{\boldsymbol{A}}-\overrightarrow{\boldsymbol{B}} \)
Subject: Chemistry
\( 4 d, 5 p, 5 f \) and \( 6 p \) orbitals are arranged in the order of decreasing energy.The correct option is:
A \( .5 f>6 p>5 p>4 d \)
в. \( 6 p>5 f>5 p>4 d \)
c. \( 6 p>5 f>4 d>5 p \)
D. \( 5 f>6 p>4 d>5 p \)
Subject: Physics
What is the resistance of the wire at
\( 30^{\circ} \mathrm{C}, \) if at \( 5^{\circ} \mathrm{C}, \) the resistance of same
wire is \( 200 \Omega \) and \( a t 10^{\circ} C, \) the
resistance is \( 200.2 \Omega ? \)
A \( .200 \Omega \)
B. \( 201 \Omega \)
c. \( 204 \Omega \)
D. \( 195 \Omega \)
Subject: Chemistry
The correct order of the calculated spinonly magnetic moments of complexes
(A) to (D) is:
\( (A) N i(C O)_{4} \)
(B) \( \left[\boldsymbol{N} \boldsymbol{i}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right] \boldsymbol{C l}_{2} \)
\( (\mathrm{C}) N a_{2}\left[N i(C N)_{4}\right] \)
(D) \( P d C l_{2}\left(P P h_{3}\right)_{2} \)
A \( \cdot(C)<(D)<(B)<(A) \)
B. \( (C) \approx(D)<(B)<(A) \)
c. \( (A) \approx(C)<(B) \approx(D) \)
D. \( (A) \approx(C) \approx(D)<(B) \)
Subject: Chemistry
Assertion
The molecularity of the reaction, \( \boldsymbol{H}_{2}+ \)
\( B r_{2} \longrightarrow 2 H B r \) is 2
Reason
The order of this reaction is \( 3 / 2 \)
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: Maths
If \( f(x)=(\cos x+i \sin x)(\cos 3 x+ \)
\( i \sin 3 x) \ldots(\cos (2 n-1) x+i \sin (2 n- \)
1) \( x \), then \( f^{\prime \prime}(x)= \)
\( \mathbf{A} \cdot n^{2} f(x) \)
B . \( -n^{4} f(x) \)
\( \mathbf{c} \cdot-n^{2} f(x) \)
D. \( n^{4} f(x) \)
Subject: Chemistry
Assertion
Activated charcoal is used for
decolourising sugar solution.
Reason

Activated charcoal absorbs the
impurities on its surface.
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: Maths
Given two vectors \( a=2 i-3 j+6 k \) on
\( b=2 i+3 j-k \) and \( \lambda= \)
\( \frac{\text {the projection of } a \text { on } b}{\text {the projection of bon } a}, \) then the
value of \( \lambda \) is
A. 3/
в. \( 7 / 3 \)
\( c \cdot 3 \)
D. 7
Subject: Chemistry
On decomposition of \( N H_{4} H S, \) the
following equilibrium is established:
\( \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{H} \boldsymbol{S}(\boldsymbol{s}) \rightleftharpoons \boldsymbol{N} \boldsymbol{H}_{3}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{S}(\boldsymbol{g}) \) If
the total pressure is \( P \) atm, then
the equilibrium constant \( \boldsymbol{K}_{\boldsymbol{P}} \) is equal
to:
\( A \cdot P \) atm
B. \( P^{2} a t m^{2} \)
\( \mathbf{c} \cdot P^{2} / 4 a t m^{2} \)
D. 2P atm
Subject: Physics
The energy of a \( K \) -electron in tungsten is \( -20 k e V \) and of an \( L \) -electrons is
\( -2 k e V . \) The wavelength of \( X \) -rays emitted when there is electronjump from \( \boldsymbol{L} \) to \( \boldsymbol{K} \) shell:
A \( .0 .3443 \AA \)
в. \( 0.6887 \AA \)
c. \( 1.3982 \dot{A} \)
D. 2.78 音
Subject: Chemistry
Which of the following statement(s) is
(are) not correct with reference to
ferrous and ferric ions?
A \( \cdot F e^{3+} \) gives brown colour with potassium ferricyanide
B. \( F e^{2+} \) gives blue ppt with potassium ferricyanide
C \( \cdot F e^{3+} \) gives red colour with potassium sulphocyanide
D. \( F e^{2+} \) gives brown colour with potassium sulphocyanide
Subject: Physics
If the total number of \( \boldsymbol{H}_{2} \) molecules is
double of the \( O_{2} \) molecules then the
ratio of total kinetic energies pf \( \boldsymbol{H}_{2} \) to
that of \( O_{2} \) at \( 300 \mathrm{K} \) is :
A .1: 1
B. 1: 2
\( c \cdot 2: \)
\( D \cdot 1: 3 \)
Subject: Chemistry
The manganese \( (Z=25) \) has the outer
configuration:
\( A \)
45
\( \uparrow \downarrow \)
B.
45
\( \uparrow \downarrow \) \begin{tabular}{|c|c|c|c|c|}
\hline \multicolumn{2}{|c|} {\( 3 d \)} & \multicolumn{2}{|c|} {} \\
\hline\( \uparrow \) & \( \uparrow \) & \( \uparrow \) & \( \uparrow \) & \( \uparrow \) \\
\hline
\end{tabular}
\( c \)
\begin{tabular}{c}
\( 4 s \) \\
\hline\( \uparrow \downarrow \)
\end{tabular} \begin{tabular}{|c|c|c|c|}
\hline \multicolumn{2}{|c|} {\( \uparrow d \)} & \multicolumn{2}{c|} {} \\
\hline\( \uparrow \downarrow \mid \uparrow \downarrow \) & \( \uparrow \) & & \\
\hline
\end{tabular}
\( D \)
45
Subject: Physics
A flywheel of moment of inertia
\( 0.4 K g / m^{2} \) and radius \( 0.2 m \) is free to
rotate about a central axis. If a string is wrapped around it and it is pulled with a force of \( 10 N \) then its angular velocity
after \( 4 s \) will be
A. \( 5 r a d / s \)
в. 20rad/s
c. \( 10 r a d / s \)
D. \( 0.8 \mathrm{rad} / \mathrm{s} \)
Subject: Chemistry
The fractional abundance of \( C l^{35} \) in a
sample of chlorine containing only \( C l^{35} \) (atomic weight \( =\mathbf{3 4 . 9} \) ) and \( \boldsymbol{C l}^{\mathbf{3 7}} \)
(atomic weight \( =\mathbf{3 6 . 9} \) ) isotopes, is \( \mathbf{0 . 6} \)
The average mass number of chlorine
is
A . 35.7
B. 35.8
c. 18.8
D. 35.77
Subject: Physics
For the circuit shown in the figure,
which of the following statements is
true?
A. With S1 closed \( V 1=15 V, V 2=20 V \)
B. With \( S_{3} \) closed, \( V_{1}=V_{2}=25 \mathrm{V} \)
C. With \( S_{1} \) and \( S_{2} \) closed, \( V_{1}=V_{2}=0 \)
D. With \( S_{1} \) and \( S_{3} \) closed, \( V_{1}=30 \vee, V_{2}=20 \mathrm{V} \)
Subject: Chemistry
A colloidal solution is subjected to an electrical field. The particles move towards anode. The coagulation of same
sol is studied using \( N a C l, B a C l_{2} \) and
\( A l C l_{3} \) solutions. Their coagulation
power should be :
A \( \cdot N a C l>B a C l_{2}>A l C l_{3} \)
в. \( B a C l_{2}>A l C l_{3}>N a C l \)
c. \( A l C l_{3}>B a C l_{2}>N a C l \)
D. \( B a C l_{2}>N a C l>A l C l_{3} \)
Subject: Maths
\( \ln a \triangle A B C, \) the sides \( A B \) and \( A C \) have
been produced to \( \mathrm{D} \) and \( \mathrm{E} \). Bisectors of \( \angle C B D \) and \( \angle B C E \) meet at \( 0 . \) If \( \angle A= \)
\( 64^{0}, \) then \( \angle B O C \) is
\( A \cdot 52^{0} \)
B. \( 58^{\circ} \)
\( c \cdot 26^{0} \)
D. \( 112^{\circ} \)
Subject: Chemistry
\( N O \) often acts as a three electron donor
in contrast to most ligands which donate two electrons. What happens
when \( N O \) replaces three \( C O \) in
\( \left[\boldsymbol{F} e(\boldsymbol{C O})_{5}\right] \) and \( \operatorname{six} \boldsymbol{C O} \) in \( \left[\boldsymbol{C r}(\boldsymbol{C O})_{6}\right] ? \)
Subject: Maths
If \( \log _{1 / 3} \frac{3 x-1}{x+2} \) is less than unity then \( x \)
must lie in the interval
\( ^{\mathbf{A}} \cdot(-\infty,-2) \cup\left(\frac{5}{8}, \infty\right) \)
B \( \cdot\left(-2, \frac{5}{8}\right) \)
\( ^{\mathrm{c}} \cdot(-\infty,-2) \cup\left(\frac{1}{3}, \frac{5}{8}\right) \)
D. \( \left(-2, \frac{1}{3}\right) \)
Subject: Maths
Prove that \( \left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{a} & \boldsymbol{a} \\ \boldsymbol{a} & \boldsymbol{b} & \boldsymbol{b} \\ \boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c}\end{array}\right|=\boldsymbol{a}(\boldsymbol{b}-\boldsymbol{c})(\boldsymbol{a}-\boldsymbol{b}) \)
Hence find the value of \( \left|\begin{array}{lll}\mathbf{3} & \mathbf{3} & \mathbf{3} \\ \mathbf{3} & \mathbf{5} & \mathbf{5} \\ \mathbf{3} & \mathbf{5} & \mathbf{7}\end{array}\right| \)
Subject: Maths
In the adjoining figure \( A B= \)
\( 12 \mathrm{cm}, C D=8 \mathrm{cm}, \angle A B D= \)
\( \angle A E C \angle E D C=90^{\circ} . \) If \( B E=x, \) then
A. \( x \) has two possible values whose difference is 4
B. \( x \) has two possible values whose sum is 2
c. \( x \) has only one value and \( x \geq 12 \)
D. \( x \) cannot be determined with the given information
Subject: Chemistry
A closed system containing \( 10^{-2} \mathrm{M} H_{2} \)
and \( 2 \times 10^{-2} \mathrm{M} I_{2} \) at \( 450^{\circ} \mathrm{C} \) is allowed to
reach equilibrium and at equilibrium the \( H I \) concentration is \( 1.8 \times 10^{-2} \mathrm{M} \)
Calculate \( K_{C} \) at \( 450^{\circ} \mathrm{C} \) for \( H_{2}(g)+ \) \( \boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons 2 \boldsymbol{H} \boldsymbol{I}(\boldsymbol{g}) \)
Subject: Physics
In a certain gas \( \frac{2}{5} \) th of the energy of molecules is associated with the
rotation of molecules and the rest of it
is associated with the motion of the
centre of mass. The average translation energy of one such molecule, when the
temperature is \( 27^{\circ} \mathrm{C} \) is given by \( x \times \)
\( 10^{-23} J \),then find \( x ? \)
A . 62
B. 623
c. 6.21
D. 62.1
Subject: Chemistry
For the gas phase decomposition \( \boldsymbol{A} \rightarrow \)
\( 2 B, \) the rate constant is \( 6.93 \times 10^{-3} \)
\( \min ^{-1} \) at \( 300 \mathrm{K} . \) The percentage of \( \mathrm{A} \)
remaining at the end of 300 minutes is :
A . 75
B. 50
\( c \cdot 25 \)
D. 12.5
Subject: Physics
Two particles of mass \( M_{A} \) and \( M_{B} \) and
there velocities are \( V_{A} \) and \( V_{B} \)
respectively collides. After collision they inter changes their velocities then ratio of \( \frac{\boldsymbol{M}_{\boldsymbol{A}}}{\boldsymbol{M}_{\boldsymbol{B}}} \) is:
A \( \cdot\left(\text { a) } \frac{V_{A}}{V_{B}}\right. \)
в. (b) \( \frac{V_{B}}{V_{A}} \)
c.
(c) \( \frac{V_{A}+V_{B}}{V_{B}-V_{A}} \)
D. (d)
Subject: Maths
For waht value of \( \lambda \), the three numbers
\( 2 \lambda-1, \frac{1}{4}, \lambda-\frac{1}{2} \) can be the direction
cosines of a straight line?
A \( \cdot \frac{1}{2} \pm \frac{\sqrt{3}}{4} \)
B. \( \frac{3}{4} \)
\( c \cdot \pm \frac{3}{4} \)
D. \( \frac{\sqrt{3}}{2} \pm \frac{1}{4} \)
Subject: Physics
A body is displaced from (0,0) to \( (1 m, 1 m) \) along the path \( x=y \) by a force \( \boldsymbol{F}=\left(\boldsymbol{x}^{2} \hat{\boldsymbol{j}}+\boldsymbol{y} \hat{\boldsymbol{i}}\right) \boldsymbol{N} . \) The work done
by this force will be :
A \( \cdot \frac{4}{3} J \)
в. \( \frac{5}{6} J \)
\( c \cdot \frac{3}{2} J \)
D. \( \frac{7}{5} J \)
Subject: Chemistry
Assertion
The Joule-Thomson coefficient for an
ideal gas is zero.
Reason
There are no intermolecular attractive
forces in an ideal gas.
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
Find the concentration of the
conduction electrons.
A \( \cdot 2.5 \times 10^{20} \mathrm{m}^{-3} \)
В. \( 2.5 \times 10^{26} \mathrm{m}^{-3} \)
c. \( 2.5 \times 10^{28} \mathrm{m}^{-3} \)
D. \( 2.5 \times 10^{30} m^{-3} \)
Subject: Physics
An ideal gas at \( 27^{\circ} C \) is compressed adiabatically to \( \frac{8}{27} \) of its original volume. The rise in temperature is (Take
\( \gamma=5 / 3) \)
\( \mathbf{A} \cdot 475 K \)
в. \( 150 K \)
c. \( 275 K \)
D. 375K
Subject: Physics
The distance between the plates of a charged parallel plate capacitor is \( 5 \mathrm{cm} \) and electric field inside the plates is
\( 200 V c m^{-1} . \) An uncharged metal bar of width \( 2 \mathrm{cm} \) is fully immersed into the
capacitor. The length of the metal bar is same as that of capacitor. The voltage across capacitor after the immersion of the bar is:
A. zero
B. \( 400 \mathrm{V} \)
c. \( 600 V \)
D. \( 100 V \)
Subject: Maths
If \( i^{2}=-1, \) then \( 4+i, \) and \( 4-i \) are
roots of which of the following equations?
A. \( x^{2}+8 x-17=0 \)
B. \( x^{2}-8 x+17=0 \)
c. \( x^{2}-8 x-17=0 \)
D. \( x^{2}+10 x-8=0 \)
E . \( x^{2}-8 x+8=0 \)
Subject: Chemistry
1.0 g of magnesium is burnt with 0.56 g \( O_{2} \) in a closed vessel. Which reactant is
left in excess and how much ? (At.wt. \( \mathrm{Mg}=24 ; 0=16) \)
A. \( \mathrm{Mg}, 0.16 \mathrm{g} \)
в. \( O_{2}, 0.16 \mathrm{g} \)
c. \( \mathrm{Mg}, 0.44 \mathrm{g} \)
D. \( O_{2}, 0.28 \mathrm{g} \)
Subject: Physics
Velocity is given by \( v=4 t(1-2 t) \) then find time at which velocity is maximum.
A . \( 0.5 \mathrm{sec} \)
B. \( 0.25 \mathrm{sec} \)
c. \( 0.45 \mathrm{sec} \)
D. \( 1 \mathrm{sec} \)
Subject: Biology
\( \boldsymbol{C O}_{2}: \boldsymbol{N} \boldsymbol{A} \boldsymbol{D} \boldsymbol{P} \boldsymbol{H}_{2}: \boldsymbol{A} \boldsymbol{T} \boldsymbol{P} \) ratio for \( \boldsymbol{C}_{3} \)
plants is
A. 1: 2: 3
B. 1: 2: 4
\( \mathrm{c} \cdot 1: 3: 6 \)
D. 1: 5: 10
Subject: Physics
When one end of the capillary is dipped in water, the height of water column is
\( h^{\prime} . \) The upward force of 105 dyne due to surface tension balanced by the force due to the weight of water column. The inner circumference of the capillary is (Surface tension of water \( =\mathbf{7} \times \)
\( \mathbf{1 0}^{-\mathbf{2}} \mathbf{N} / \boldsymbol{m} \)
A \( .1 .5 \mathrm{cm} \)
B. 2 cm
\( c .2 .5 \mathrm{cm} \)
D. 3 ст
Subject: Maths
The determinant \( \left|\begin{array}{ccc}\sin \alpha & \cos \alpha & 1 \\ \sin \beta & \cos \beta & 1 \\ \sin \gamma & \cos \gamma & 1\end{array}\right| \) is
equal to
This question has multiple correct options
\( ^{\mathrm{A}} \cdot_{-4 \sin } \frac{\alpha-\beta}{2} \sin \frac{\alpha-\gamma}{2} \sin \frac{\gamma-\alpha}{2} \)
\( \mathbf{B} \cdot \sin \alpha+\sin \beta+\sin \gamma \)
c. \( \sin (\alpha-\beta)+\sin (\beta-\gamma)+\sin (\gamma-\alpha) \)
D. none of these
Subject: Maths
Calculate the standard deviation for the
following data:
\( \begin{array}{ll}\text { Class - internal } & \text { Frequency } \\ & \\ 1-5 & 4 \\ 6-10 & 3 \\ 11-15 & 2 \\ 16-20 & 1 \\ & \\ & N=10\end{array} \)
Subject: Biology
hierarchy of various taxonomic
categories. Identify the missing categories(A, B and
C) and select the correct statements
regarding these.
(i) \( A \) is the taxonomic category which
contains a number of related genera.
(ii) Examples of category B are Monocotyledoneae, Dicotyledoneae, Mammalia, etc.
(iii) \( \mathrm{C} \) represents the basic unit of taxonomic hierarchy.
(iv) Examples of category \( C \) are Fungi
Monera, Protista, etc.
\( A \cdot \) (i) and (ii)
B. (iii) and (iv)
C . (i), (ii) and (iv)
D. (i), (ii), (iii) and (iv)
Subject: Physics
A loop of flexible conducting wire of
length \( l \) lies in magnetic field B which is normal to the plane of loop. A current lis
passed through the loop. The tension developed in the wire to open up is:
A \( \cdot \frac{\pi}{2} B I l \)
в. \( \frac{B I l}{2} \)
c. \( \frac{B I l}{2 \pi} \)
D. \( B I l \)
Subject: Physics
To get maximum current in resistance of \( 3 \Omega, \) one can use \( n \) parallel rows of \( m \)
cells each connected in series. If the
total no. of cells is 24 and the internal
resistance is 0.5 ohm then:
A. \( m=12, n=2 \)
в. \( m=8, n=3 \)
c. \( m=2, n=12 \)
D. \( m=6, n=4 \)
Subject: Maths
If \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) is defined by \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}- \)
\( [\boldsymbol{x}]-\frac{1}{2} \forall \boldsymbol{x} \in \boldsymbol{R}[\boldsymbol{x}] \) is the greatest
integer not exceeding \( x \) then \( \{x \in R: \) \( \left.\boldsymbol{f}(\boldsymbol{x})=\frac{1}{2}\right\}= \)
A. the set of all integers
B. N, the set of all natural numbers
c. \( \phi \), the empty set
\( D \)
Subject: Physics
An equiconcave diverging lens of local length \( F \) is cut into two equal halves.
The two halves are turned around the
joined with some liquid between them.
The lens obtained is converging with focal length \( F \). If the refractive index of
the liquid is 3 then what is the refractive index of the lens?
\( A \cdot 4 \)
B. 2
\( c \)
D. 1.5
Subject: Physics
At what temperature would the resistance of a copper conductor be
double its resistance at \( 0^{\circ} \mathrm{C} ? \) Given \( \alpha \)
for copper is \( 3.9 \times 10^{-3}^{\circ} C^{-1} \)
A \( \cdot 256.4^{\circ} \mathrm{C} \)
в. \( 512.8^{\circ} \mathrm{C} \)
\( c \cdot 100^{\circ} \mathrm{C} \)
D. 256.4k
Subject: Chemistry
Assertion
Helium shows only positive deviations
from ideal behaviour.
Reason

Helium is an inert gas.
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