AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
What is molecular state of Sulphur as reactant in the reaction?
Sulphur \( +12 O H^{-} \longrightarrow 4 S^{2-}+ \)
\( 2 S_{2} O_{3}^{2-}+3 H_{2} O \)
A \( \cdot S_{8}^{2} \)
B \( \cdot 2 S_{4}^{2} \)
\( c \cdot S_{8} \)
D. \( S_{8}^{-} \)
Subject: Maths
The area of the region bounded by the
curve \( \boldsymbol{y}=\boldsymbol{x}^{2}+\mathbf{1} \) and \( \boldsymbol{y}=\mathbf{2} \boldsymbol{x}-\mathbf{2} \)
between \( x=-1 \) and \( x=2 \) is:
A. 9 sq . units
B. 12sq. units
c. 15 sq. units
D. 14sq. units
Subject: Physics
An ellipsoidal cavity is carved within a perfect conductor. A positive charge q is
placed at the centre of the cavity. The points \( A \) and \( B \) are on the cavity surfaces as shown in the figure. Then
This question has multiple correct options
A. Electric field near A in the cavity = Electric field near B in the cavity
B. Charge density at A = charge density at B
c. Potential at \( A= \) potential at \( B \)
D. Total electric flux through the surface of the cavity is \( q / \epsilon_{0} \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{R}= \)
\{(1,3),(4,2),(2,4),(2,3),(3,1)\} be a
relation on the set \( A=\{1,2,3,4\} . \) The
relation \( \boldsymbol{R} \) is
A. A function
B. Transitive
C. Not symmetric
D. Reflexive
Subject: Physics
In the circuit shown the current through
the \( 4 \Omega \) resistor is 1 amp when the
points \( P \) and \( M \) are connected to a d.c voltage source. The potential difference
between the points \( M \) and \( N \) is:
A. 0.5 volt
B. 3.2 volt
c. 1.5 volt
D. 1.0 volt
Subject: Physics
A highly rigid cubical block A of small mass \( \mathrm{M} \) and side \( \mathrm{L} \) is fixed rigidly on to
another cubical block \( \mathrm{B} \) of the same
dimensions and of low modulus of
rigidity \( \eta \) such that the lower face of \( A \)
completely covers the upper face of B. The lower face of B is rigidly held on a
horizontal surface. A small force F is
applied perpendicular to one of a sides faces of A. After the force is withdrawn, block A executes small oscillations, the
time period of which is given by
\( \mathbf{A} \cdot 2 \pi \sqrt{M \eta L} \)
в. \( 2 \pi \sqrt{M \eta / L} \)
c. \( 2 \pi \sqrt{M L / \eta} \)
D. \( 2 \pi \sqrt{M / \eta L} \)
Subject: Physics
A particle executing SHM has amplitude of \( 4 \mathrm{cm} ., \) and its acceleration at a distance of \( 1 \mathrm{cm} \) from the mean
position is \( 3 \mathrm{cm} s^{-2} . \) Its velocity be when it is at a distance of \( 2 \mathrm{cm} \) from its mean
position is
A. \( 2 c m / s \)
в. \( 3 \mathrm{cm} / \mathrm{s} \)
c. \( 4 c m / s \)
D. \( 6 \mathrm{cm} / \mathrm{s} \)
Subject: Chemistry
The osmotic pressure of \( 40 \% \)
(weight/volume) urea solution is 1.64 \( \operatorname{atm} \) and that of \( 3.42 \% \) (weight/volume) cane sugar is 2.46 atm. When equal volumes of the above two solutions are
mixed, the osmotic pressure of the resulting solution is:
A. 1.64 atm
B. 2.46 atm
c. 4.10 atm
D. 2.05 atm
Subject: Biology
Match the following columns.
\( \begin{array}{ll}\text { Column I } & \text { Column II } \\ \text { A. Pinocytosis } & \text { 1. Euglena gracilis } \\ \text { B. Holozoic } & \text { 2. Paramecium } \\ \text { C. Parasitic } & \text { 3. Amoeba proteus } \\ \text { D. Mixotrophic } & \text { 4. Monocystis }\end{array} \)
\( A \)
3,2,4,1
B. 2,3,4,1
c. 4,3,1,2
D. 1,4,2,3
Subject: Chemistry
A china dish weighs 25 g when empty. When a saturated solution of
potassium chloride is poured into it at \( 40^{\circ} \mathrm{C}, \) the weight of the dish is 63 g. When the solution is totally evaporated, the chine dish along with the crystals weighs 40 g. Find the solubility of potassium chloride at \( 40^{0} \mathrm{C} \)
A . 35
B. 65.2
c. 39.5
D. 7.5
Subject: Physics
The frequancy of oscillation of current in the inductor is-
A \( \cdot \frac{1}{3 \sqrt{L C}} \)
B. \( \frac{1}{6 \pi \sqrt{L C}} \)
c. \( \frac{1}{\sqrt{L C}} \)
D. \( \frac{1}{2 \pi \sqrt{L C}} \)
Subject: Chemistry
Select the species which can act as an acid as well as base.
This question has multiple correct options
\( \mathbf{A} \cdot S O_{4}^{2-} \)
в. \( H S^{-} \)
\( \mathrm{c} \cdot \mathrm{H} \mathrm{CO}_{3}^{-} \)
D. \( H S O_{4} \)
Subject: Physics
Assertion
While blowing a soap bubble, to increase the size of soap babble, we have to increase the air pressure within
the soap bubble.
Reason
To increase the size of soap bubble,
more air has to be pushed into the
bubble.
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
For the square planar complex [Mabcd] where \( \mathrm{M} \) is the central atom and \( \mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d} \) are monodentate ligands, the number of possible geometrical isomers are:
A. one
B. two
\( c . \) three
D. four
Subject: Physics
Two identical beakers with negligible thermal expansion are filled with water
to the same level at \( 4^{\circ} \mathrm{C} \). If one say A is
heated while the other one is cooled, then:
This question has multiple correct options
A. water level in A must rise
B. water level in B must rise
c. water level in A must fall
D. water level in Bmust fall
Subject: Physics
A positive charge 'q' of mass 'm' is moving along the +x axis. We wish to apply a uniform magnetic field \( B \) for
time \( \Delta t, \) so that the charge reverses its
direction, crossing the y axis at a distance \( d \). Then:
A \( \cdot B=\frac{m v}{q d} \) and \( \Delta t=\frac{\pi d}{v} \)
B. \( B=\frac{m v}{2 q d} \) and \( \Delta t=\frac{\pi d}{2 v} \)
c. \( _{B}=\frac{2 m v}{q d} \) and \( \Delta t=\frac{\pi d}{2 v} \)
D. \( B=\frac{2 m v}{q d} \) and \( \Delta t=\frac{\pi d}{v} \)
Subject: Physics
Assertion
The resolving power of both microscope and telescope depends on the wavelength of light used.
Reason
The resolving power of a lens is the ability to resolve the two images so they are distinctly identified.
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
The dimensions of self- induction are :
\( \mathbf{A} \cdot\left[M L T^{-2}\right] \)
B . \( \left[M L^{2} T^{-1} A^{-2}\right. \)
\( \mathbf{c} \cdot\left[M L^{2} T^{-2} A^{-2}\right. \)
D・ \( \left[M L^{2} T^{-2} A^{2}\right] \)
Subject: Chemistry
The specific conductivity of \( N / 10 K C l \)
solution at \( 20^{\circ} \mathrm{C} \) is 0.0212 oh \( m^{-1} \mathrm{cm}^{-1} \)
and the resistance of the cell containing
this solution at \( 20^{\circ} C \) is 55 ohm. The
cell constant is:
A \( \cdot 4616 \mathrm{cm}^{-1} \)
B. \( 1.166 \mathrm{cm}^{-1} \)
c. \( 2.173 \mathrm{cm}^{-1} \)
D. \( 3.324 \mathrm{cm}^{-1} \)
Subject: Physics
The figure shows an infinite line charge of density \( C / m . \) The work done by the
electrostatic force on a unit charge,
when it is moved along the path \( \boldsymbol{A B C} \)
is (plane of the curve \( A B C \) contains the
line charge)
\( A \cdot \) zero
B. \( \frac{-\sigma}{2 \pi \epsilon_{o}} \ln 2 \)
c. \( \frac{-\sigma}{2 \pi \epsilon_{o}} \ln 3 \)
D. \( \frac{\sigma}{2 \pi \epsilon_{o}} \ln 2 \)
Subject: Chemistry
Given the following:
\( \boldsymbol{C}(s)+\boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -394 k J / m o l \)
\( 2 H_{2}(g)+O_{2}(g) \rightarrow 2 H_{2} O(l) ; \Delta H= \)
\( -\mathbf{5 6 8} k J / \operatorname{mol} C_{2} H_{5} O H(l)+ \)
\( \mathbf{3} O_{2}(\boldsymbol{g}) \rightarrow \mathbf{2} \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g})+ \)
\( \mathbf{3} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) ; \boldsymbol{\Delta} \boldsymbol{H}=-\mathbf{1 0 5 8} \boldsymbol{k} \boldsymbol{J} / \boldsymbol{m o l} \)
Using the given data, the heat of formation of ethanol is:
A. \( -582 k J / m o l \)
в. \( 71.8 k J / \) тод
c. \( -244 k J / \) mol
D. +782 kJ / mol
Subject: Physics
A thin lens with focal length \( f \) to be used as magnifying glass. Which of the following statements regarding the situation is true?
A. A converging lens may be used, and the object be placed at a distance greater than 2 from the lens.
B. A diverging lens may be used, and the object be placed between \( f \) and \( 2 f \) from the lens
c. A converging lens may be used, and the object be placed at a distance less than f from the lens
D. A diverging lens may be used, and the object be placed at any point other than the focal point
Subject: Physics
The distance between an electric lamp
and a screen is \( d=1 \) m. A convergent
lens of focal length \( \boldsymbol{f}=21 \mathrm{cm} \) is placed
between the lamp and the lens such
that a sharp image of the lamp
filaments is formed on the screen.
This question has multiple correct options
A. The positions of the lens from the lamp for which sharp images are formed on the screen are \( 35 \mathrm{cm} \) and \( 65 \mathrm{cm} \)
B. The position of the lens from the lamp for which sharp images are formed on the screen are \( 30 \mathrm{cm} \) and \( 70 \mathrm{cm} \)
c. Magnitude of the difference in magnification is \( 40 / 21 \)
D. The size of the lamp filament for which there are two sharp images of \( 4.5 \mathrm{cm} \) and \( 2 \mathrm{cm} \), is \( 3 \mathrm{cm} \)
Subject: Biology
Match the following list of animals with
their level of organization and choose
the correct sequence:
1 Column - I "
(A)
Organ level \( \quad \) (P) \( \quad \) Pheritima bethere
(B)
Cellular aggregate \( \quad \) (Q) \( \quad \) Fasciola Celular a
level
(C)
Tissue level \( \quad \) (R) \( \quad \) Spongilla
(D) Organ system
level
(s) Obelia
\( A \cdot A-(S), B-(R), C-(P), D-(Q) \)
B. A- (S), B- (Q), C- (R), D- (P)
c. \( A-(Q), B-(S), C-(R), D-(P) \)
D. A- (Q), B- (R), C- (S), D- (P)
Subject: Maths
Assertion
\( \begin{array}{ccc}\mathbf{\Delta}= & & \\ & \sin \pi & \cos (\boldsymbol{x}+\boldsymbol{\pi} / \mathbf{4}) & \tan (\boldsymbol{x}- \\ \sin (\boldsymbol{x}-\boldsymbol{\pi} / \mathbf{4}) & -\cos (\boldsymbol{\pi} / \mathbf{2}) & \log (\boldsymbol{x} \\ \cot (\boldsymbol{\pi} / \mathbf{4}+\boldsymbol{x}) & \log (\boldsymbol{y} / \boldsymbol{x}) & \tan \end{array} \)
0
Reason
A skew symmetric determinant of odd
order equals 0
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 direction ratios of the joining \( A(1,2,1) \) and (2,1,2) are
A .3,3,3
B. -1,1,-1
c. 3,1,3
D. \( \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}} \)
Subject: Physics
The radius of gyration of a body is \( 18 \mathrm{cm} \) when it is rotating about an axis passing through center of mass of body. If radius of gyration of same body is 30 \( \mathrm{cm} \) about a parallel axis to first axis then, perpendicular distance between
two parallel axes is:
\( A \cdot 12 \mathrm{cm} \)
B. \( 16 \mathrm{cm} \)
c. \( 24 \mathrm{cm} \)
D. 36 cm
Subject: Maths
Let \( S \) and \( S^{\prime} \) be two foci of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 . \) If a circle described on
\( S S^{\prime} \) as diameter intersects the ellipse
in real and distinct points, then the eccentricity \( e \) of the ellipse satisfies
\( ^{A} \cdot e=\frac{1}{\sqrt{2}} \)
в. \( _{e} \in\left(\frac{1}{\sqrt{2}}, 1\right) \)
\( ^{\mathrm{c}} \cdot_{e} \in\left(0, \frac{1}{\sqrt{2}}\right) \)
D. None of these
Subject: Chemistry
Which one of the following sets forms
the biodegradable polymer?
\( \mathbf{A} \cdot H_{2} N-C H_{2}-C O O H \) and \( H_{2} N-\left(C H_{2}\right)_{5}-C O O H \)
B \( \cdot H O-C H_{2}-C H_{2}-O H \) and \( C O O H-C_{6} H_{4}- \)
\( \mathrm{COOH} \)
\( \mathbf{c} \cdot C_{6} H_{5}-C H=C H_{2} \) and \( C H_{2}=C H-C H=C H_{2} \)
\( \mathbf{D} \cdot C H_{2}=C H-C N \) and \( C H_{2}=C H-C H=C H_{2} \)
Subject: Physics
A body starts from rest and moves with an uniform acceleration. The ratio of
distance covered in the \( n^{t h} \) second to
the distance covered in \( n \) seconds is :
A \( \cdot\left(\frac{2}{n}-\frac{1}{n^{2}}\right) \)
в. \( \left(\frac{1}{n^{2}}-\frac{1}{n}\right) \)
c. \( \left(\frac{2}{n^{2}}-\frac{1}{n}\right) \)
D. \( \left(\frac{2}{n}+\frac{1}{n^{2}}\right) \)
Subject: Physics
A stationary ball weighing \( 0.25 k g \) acquires a speed of \( 10 m / s \) when hit by a hockey stick. The impulse imparted to the ball is
\( \mathbf{A} \cdot 2.5 N s \)
B. \( 2.0 N s \)
c. \( 1.5 N s \)
D. \( 0.5 N s \)
Subject: Maths
f'o' is the centre of the circle ; \( 0 L=4 \)
\( \mathrm{cm}, \mathrm{AB}=6 \mathrm{cm} \) and \( \mathrm{OM}=3 \mathrm{cm}, \) then \( \mathrm{CD} \)
\( A \cdot 4 \mathrm{cm} \)
B. \( 8 \mathrm{cm} \)
\( c \cdot 6 \mathrm{cm} \)
D. \( 10 \mathrm{cm} \)
Subject: Maths
Find the value of 'a' \( \operatorname{in} 4 x^{2}+a x+ \)
\( \mathbf{9}=(\mathbf{2} \boldsymbol{x}+\mathbf{3})^{2} \)
A \( . a=34 \)
B. \( a=11 \)
c. \( a=12 \)
D. \( a=33 \)
Subject: Physics
To maintain a rotor at a uniform angular
speed of 200 rad \( s^{-1}, \) an engine needs to transmit a torque of \( 180 \mathrm{N} \) m. What is the power required by the engine
? (Note: uniform angular velocity in the absence of friction implies zero torque. In practice, applied torque is needed to counter frictional torque). Assume that the engine is \( 100 \% \) efficient.
Subject: Physics
A radio can tune to any station in
\( 7.5 M H z \) to \( 12 M H z \) band. The
corresponding wavelength band is
A. \( 40 \mathrm{m} \) to \( 25 \mathrm{m} \)
B. \( 30 \mathrm{m} \) to \( 25 \mathrm{m} \)
\( \mathrm{c} .25 \mathrm{m} \) to \( 10 \mathrm{m} \)
D. \( 10 \mathrm{m} \) to \( 5 \mathrm{m} \)
Subject: Chemistry
Assertion
A solution of sucrose in water is
dextrorotatory but on hydrolysis in the presence of \( \boldsymbol{H} \oplus \),it becomes
leavorotatory.
Reason
Inversion of sugar follows first order
kinetics.
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
A uniform ladder which is 5 m long has
a mass of \( 30 k g \) with its upper end against a smooth vertical wall and its
lower end is on a rough ground. The
bottom of the ladder is \( 3 m \) from the
wall. Calculate the frictional force
between the ladder and the ground.
\( \left(\boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} / \boldsymbol{s}^{2}\right) \)
Subject: Chemistry
The standard electrode potential of Zinc
is \( 0.76, \) V. The potential of \( 0.1 \mathrm{M} \) zinc electrode is:
\( \mathbf{A} \cdot 0.8196 \mathbf{V} \)
B. 0.7895 V
c. \( 0.9484 \mathrm{V} \)
D. \( 0.7508 \mathrm{V} \)
Subject: Physics
A current of \( 10 \mathrm{A} \) is flowing in a wire of length 1.5 m. When it is placed in a uniform magnetic field of 2 Tesla then a force of \( 15 \mathrm{N} \) acts on it. The angle between the magnetic field and the direction of current flow will be :
A \( .30^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 90^{\circ} \)
Subject: Chemistry
Consider the above sequence and
answer the following
\[
\text { Conversion } \boldsymbol{R}-\boldsymbol{C H} \boldsymbol{O} \rightarrow \boldsymbol{R}-\boldsymbol{C O}_{2} \boldsymbol{H}
\]
can be done by :
\( \mathbf{A} \cdot K M N O_{4} \)
\( \mathbf{B} \cdot H_{2} C r O_{4} \)
\( \mathbf{c} \cdot K_{2} C r_{2} O_{7} \)
D. All of these
Subject: Maths
If the matrix \( \left|\begin{array}{ccc}\mathbf{1} & \mathbf{3} & \boldsymbol{\lambda}+\mathbf{2} \\ \mathbf{2} & \mathbf{4} & \mathbf{8} \\ \mathbf{3} & \mathbf{5} & \mathbf{1 0}\end{array}\right| \) is singular
\( \operatorname{then} \lambda= \)
\( A \cdot-2 \)
B. 4
\( c \cdot 2 \)
D. - -
Subject: Chemistry
\( \ln \operatorname{areaction} 2 H I \rightarrow H_{2}+I_{2}, \) the
concentration of \( H I \) decreases from
0.5 mol \( L^{-1} \) to 0.4 mol \( L^{-1} \) in 10
minutes.What is the rate of reaction
during this interval?
A \( .5 \times 10^{-3} \mathrm{M} \min ^{-1} \)
B . \( 2.5 \times 10^{-3} \mathrm{M} \) min\( ^{-1} \)
c. \( 5 \times 10^{-2} M \) min \( ^{-1} \)
D. 2.5 \( \times 10^{-2} \mathrm{M} \) min\( ^{-1} \)
Subject: Chemistry
\( A g N O_{3}(a q .) \) was added to an aqueous
\( K C l \) solution gradually and the
conductivity of the solution was
measured. The plot of conductance \( (\wedge) \)
versus the volume of \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{N} \boldsymbol{O}_{3} \)
is
\( (\mathbf{R}) \)
\( (\mathbf{S}) \)
A \( \cdot(P) \)
B. \( (Q) \)
c. \( (R) \)
D. \( (S) \)
Subject: Chemistry
When \( 10.0 \mathrm{ml} \) of arsenious sulphide sol
and \( 1.0 \times 10^{-4} M B a C l_{2} \) are mixed
turbidity due to precipitation appears after just 2 hours. The effective ion and its coagulating value are, respectively?
A \( \cdot C l^{-}, 10 \mathrm{mmol} / \mathrm{L} \)
B . \( C l^{-}, 20 \mathrm{mmol} / \mathrm{L} \)
C. \( B a^{2+}, 10 \mathrm{mmol} / \mathrm{L} \)
D. \( B a^{2+}, 20 \mathrm{mmol} / \mathrm{L} \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{f}(\boldsymbol{x})=\frac{\boldsymbol{9}^{\boldsymbol{x}}}{\mathbf{9}^{\boldsymbol{x}}+\mathbf{3}} \cdot \operatorname{Show} \boldsymbol{f}(\boldsymbol{x})+\boldsymbol{f}(\mathbf{1}- \)
\( x)=1, \) and hence evaluate \( f\left(\frac{1}{1996}\right)+f\left(\frac{2}{1996}\right)+ \)
\( \boldsymbol{f}\left(\frac{\mathbf{3}}{\mathbf{1 9 9 6}}\right)+\ldots+\boldsymbol{f}\left(\frac{\mathbf{1 9 9 5}}{\mathbf{1 9 9 6}}\right) \)
Subject: Chemistry
The solubility of \( C a C O_{3} \) is \( 7 \mathrm{mg} / \mathrm{L} \)
Calculate the \( K_{s p} \) of \( B a C O_{3} \) when
\( N a_{2} C O_{3} \) is added slowly a solution
containing equimolar concentration of
\( C a^{2+} \) and \( B a^{2+} \) and no precipitate is
formed until \( 90 \% \) of \( B a^{2+} \) has been
precipitated as \( B a C O_{3} \)
A \( \cdot 1.1 \times 10^{-10} \)
B . \( 5 \times 10^{-10} \)
c. \( 1.1 \times 10^{-8} \)
D . \( 5 \times 10^{-6} \)
Subject: Chemistry
An organic compound on analysis gave \( \boldsymbol{C}=\mathbf{4 2 . 8 \%}, \boldsymbol{H}=\mathbf{7 . 2 0 \%}, \) and \( \boldsymbol{N}=\mathbf{5 0 \%} \)
Volume of 1 g of the compound was found to be \( 200 \mathrm{mL} \) at STP. Molecular
formula of the compound is :
A \( \cdot C_{4} H_{8} N_{4} \)
B. \( C_{16} H_{32} N_{16} \)
c. \( C_{12} H_{24} N_{12} \)
D. \( C_{2} H_{4} N_{2} \)
Subject: Biology
Assertion
\( \ln C_{4} \) plants, photo respiration does not
occur
Reason
\( C_{4} \) plants have a mechanism that
increases the concentration of \( C O_{2} \) at
the enzyme site.
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
\( \mathbf{f} \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{0} & \mathbf{- 1} & \mathbf{2} \\ \mathbf{1} & \mathbf{0} & \mathbf{3} \\ -\mathbf{2} & \mathbf{- 3} & \mathbf{0}\end{array}\right], \) then \( \boldsymbol{A}+\mathbf{2} \boldsymbol{A}^{\prime} \)
equals
A. \( A \)
B . \( A^{\prime} \)
\( c \cdot-A \)
D. \( 2 A \)
Subject: Chemistry
Consider the following statements and arrange in the order of true/false as
given in the codes.
\( S_{1}: \) In extraction of iron from haematite
ore, the reduction reactions take place
in the lower temperature range and in
the higher temperature range, in the blast furnace.
\( S_{2}: \) Sphalerite is a carbonate ore of zinc.
\( S_{3}: \) The principal ore of aluminium,
bauxite, usually contains silica, iron oxides and titanium oxide as
impurities
\( S_{4}: \) Solified copper obtained from silica lined convertor (Bessemer converter)
has blistered appearance due to the
evolution of \( \boldsymbol{S O}_{2} \)
\( \mathbf{A} \cdot \) Т \( F T T \)
B. FTFF
c. F FTT
D. TF F T
Subject: Maths
In the expansion of \( \left(3^{-x / 4}+3^{5 x / 4}\right)^{n} \)
the sum of binomial coefficient is 64
and term with the greatest bionomial coefficient term exceeds the third term
by \( (n-1) \) the value of \( x \) must be
\( A \cdot 0 \)
B.
\( c \cdot 2 \)
D. 3
Subject: Maths
Consider the geometric progression \( \boldsymbol{S}=\mathbf{1}+\boldsymbol{2} \sin ^{2} \boldsymbol{\theta}+\boldsymbol{4} \sin ^{4} \boldsymbol{\theta}+\boldsymbol{8} \sin ^{6} \boldsymbol{\theta}+ \)
\( \ldots . \) up to infinite terms, where \( \mathrm{S} \) is a finite number and \( \boldsymbol{\theta} \neq \frac{\boldsymbol{n} \boldsymbol{\pi}}{\mathbf{2}} \) where \( \mathbf{n} \varepsilon \mathbf{I} \)
Then Values of \( \theta \) always lies in the
interval?
A \( \cdot\left(-\frac{\pi}{6}, \frac{\pi}{6}\right) \)
в. \( \left(0, \frac{\pi}{3}\right) \)
c. \( \left(-\frac{\pi}{3}, 0\right) \)
D. \( \left(-\frac{\pi}{4}, \frac{\pi}{4}\right)-\{0\} \)
Subject: Chemistry
Which of the following is/ are correct statement(s)?
A. Portland cement is the most commonly used cement for construction work.
B. Portland cement is made from raw material which consist of \( 60 \% \) lime (calcium oxide), \( 25 \% \) silica (silicon dioxide), \( 5 \% \) alumina. The rest is iron oxide and gypsum (calcium sulphate)
C . Portland cement gets its name from the stone quarried from the Isle of Portland in England which has a similar texture.
D. All of the above
Subject: Physics
Q Type your question
as on
the same direction, while in 3 is in the
opposite direction. Match the following
table
Table 1 Table - 2
(a) When the current in 1 is
(p) current in 1 will increased increased i
(b) When the current in 2 is
(q) current in 2 will increase increased
(r)Current in 3 will
(c) When the current in 3 is increase
increased
\( A \cdot a-r ; b-r ; c-p, q \)
B. \( a-p ; b-p ; c-q \)
\( \mathrm{C} \cdot \mathrm{a}-\mathrm{q} ; \mathrm{b}-\mathrm{q} ; \mathrm{c}-\mathrm{r} \)
D. \( a-r ; b-q ; c-p \)
Subject: Biology
Assertion
All pathogens are parasites but all parasites are not pathogens.
Reason
Majority of the parasites confer benefits
to the host.
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
A particle is thrown vertically upwards. Its velocity at half of the height is \( \mathbf{1 0} \boldsymbol{m} / \boldsymbol{s}, \) then the maximum height
attained by it will be: \( \left(g=10 m / s^{2}\right) \)
A . \( 10 m \)
в. \( 20 m \)
\( c .15 m \)
D. \( 25 m \)
Subject: Chemistry
What will be the vapour pressure of a
solution containing 5 moles of sucrose
\( \left(C_{12} H_{22} O_{11}\right) \) in \( 1 k g \) of water, if the vapour pressure of pure water is \( 4.57 m m \) of \( H g ?[C=12, H=1, O= \)
\( \mathbf{1 6}] \)
Subject: Maths
For \( \boldsymbol{x} \in \boldsymbol{R},[\boldsymbol{x}] \) denotes the greatest
integer less than or equal to \( x \). The
largest natural number \( n \) for which \( \boldsymbol{E}=\left[\frac{\boldsymbol{\pi}}{2}\right]+\left[\frac{\mathbf{1}}{\mathbf{1 0 0}}+\frac{\boldsymbol{\pi}}{\mathbf{2}}\right]+ \)
\( \left[\frac{2}{100}+\frac{\pi}{2}\right] \ldots+\left[\frac{n}{100}+\frac{\pi}{2}\right]<43 \)
is
A . 41
B . 42
\( c .43 \)
D. 97
Subject: Chemistry
For the equilibrium \( N H_{4} C l(s) \rightleftharpoons \)
\( N H_{3}(g)+H C l(g), K_{p}=16 a t m^{2} \)
The equilibrium pressure of the mixture is :
\( A \cdot 8 \)
B. 4
\( c \cdot 16 \)
D. 32
Subject: Physics
The largest and the shortest distance of
the earth from the sun are \( r_{1} \) and \( r_{2} \). Its
distance from the sun when it is at
perpendicular to the major-axis of the orbit drawn from the sun is:
A \( \cdot \frac{r_{1}+r_{2}}{4} \)
в. \( \frac{r_{1}+r_{2}}{r_{1}-r_{2}} \)
c. \( \frac{2 r_{1} r_{2}}{r_{1}+r_{2}} \)
D. \( \frac{r_{1}+r_{2}}{3} \)