AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Mario's Pizza has 2 choices of crust:
deep dish and thin-and-crispy. The restaurant also has a choice of 5
toppings: tomatoes, sausage, peppers, onions, and pepperoni. Finally, Mario's offers every pizza in extra cheese as well as regular. If Linda's volleyball team decides to order a pizza with 4 toppings. how many different choices do the teammates have at Mario's Pizza?
A \( \cdot 24 \)
в. 32
\( c \cdot 28 \)
D. 20
Subject: Maths
A man buys a plot of land at
\( R s 3,00,000 . \) He sells one third of the plot at a loss of \( 20 \% \). Again, he sells two
-fifth of the plot left at a profit of \( 25 \% \) At what price should he sell the remaining plot in order to get a profit of \( 10 \% \) on the whole?
Subject: Physics
Figure shows two processes a and b for
a given sample of a gas> If \( \triangle Q_{1}, \triangle Q_{2} \) are the amounts of heat absorbed by
the system in the cases and \( \triangle \boldsymbol{U}_{1}, \triangle \boldsymbol{U}_{2} \)
are changes in internal energies
respectively, then
A. \( \triangle Q_{1}=\Delta Q_{2} ; \Delta U_{1}=\Delta U_{2} \)
B. \( \Delta Q_{1}>\Delta Q_{2} ; \Delta U_{1}>\Delta U_{2} \)
\( \mathbf{c} \cdot \Delta Q_{1}<\Delta Q_{2} ; \Delta U_{1}<\Delta U_{2} \)
D. \( \triangle Q_{1}>\triangle Q_{2} ; \triangle U_{1}=\triangle U_{2} \)
Subject: Chemistry
\( 100 \mathrm{mL} \) of \( H_{2} O_{2} \) is oxidised by \( 100 \mathrm{mL} \)
of \( 0.01 M K M n O_{4} \) in acidic medium
\( M n O_{4}^{\ominus} \) reduced to \( M n^{2+} \) ). \( 100 \mathrm{mL} \) of
the same \( H_{2} O_{2} \) is oxidised by \( V \) mL of
\( 0.01 M K M n O_{4} \) in basic medium
\( M n O_{4}^{\ominus} \) reduced to \( M n O_{2} \) ). Hence, \( V \) is :
A. 500
в. 100
c. \( \frac{100}{3} \)
D. \( \frac{500}{3} \)
Subject: Maths
If \( \boldsymbol{z}(\mathbf{2}-\boldsymbol{i})=\mathbf{3}+\boldsymbol{i}, \quad \boldsymbol{z}^{20}= \)
A. \( 1-i \)
B. -1024
\( c \cdot 1024 \)
D. \( 1+i \)
Subject: Physics
The density of a cuboid of mass \( 200 g \)
with dimensions \( 2 \mathrm{cm} \times 4 \mathrm{cm} \times 5 \mathrm{cm} \) is
A \( \cdot 1000 \mathrm{kg} \mathrm{m}^{-3} \)
в. 3000 kg \( m^{-3} \)
c. \( 5000 \mathrm{kg} \mathrm{m}^{-3} \)
D. 2000 kg m \( ^{-3} \)
Subject: Maths
\( A \) and \( B \) two events such that \( P(A \cap \)
\( \left.\boldsymbol{B}^{\prime}\right)=\mathbf{0 . 2 0}, \boldsymbol{P}\left(\boldsymbol{A}^{\prime} \cap \boldsymbol{B}\right)=\mathbf{0 . 1 5}, \) and
\( \boldsymbol{P}\left(\boldsymbol{A}^{\prime} \cap \boldsymbol{B}^{\prime}\right)=\mathbf{0 . 1 0}, \) then \( \boldsymbol{p}(\boldsymbol{A} / \boldsymbol{B}) \) is
This question has multiple correct options
\( ^{\mathbf{A}} \cdot P(A \mid B)=\frac{2}{5} \)
в. \( P(A)=0.3 \)
c. \( P(A \cup B)=0.45 \)
D. \( P(B \mid A)=\frac{1}{3} \)
Subject: Maths
The equation ||\( x-1|+a|=4 \) can have
real solutions for \( x \) if \( a \) belongs to the
interval
This question has multiple correct options
\( A \cdot(-\infty, 4] \)
В. \( (-\infty,-4] \)
\( c \cdot(4,+\infty) \)
D. [-4,4]
Subject: Chemistry
Na \( C l \) and \( C a C l_{2} \) are added to fused
\( M g C l_{2} \) in the electrolysis of \( M g C l_{2} \) so
that
A. melting point is decreased and conductivity is increased
B. melting point is increased and conductivity is decreased
c. melting point and conductivity both are decreased
D. melting point and conductivity both are increased
Subject: Maths
If the ratio of sum of \( n \) terms of two A.P.'s
is \( (3 n+8):(7 n+15), \) then the ratio of
\( 12^{t h} \) terms is
\( \mathbf{A} \cdot 16: 7 \)
B. 7: 16
c. 7: 12
D. 12: 5
Subject: Physics
The emissivity of a body of surface area
\( 5 c m^{2} \) and radiating \( 300 \mathrm{J} \) of energy per
minute at temperature \( 727^{\circ} C \) is :
A. 0.48
B. 0.38
\( c \cdot 0.28 \)
D. 0.18
Subject: Chemistry
Some of the batteries are rechargeable :
I bry cell battery
II : Lead-storage (acid) battery
III : Nickel-cadmium battery
IV: Lithium battery
V: Fuel cell
Select correct alternates:
\( \mathbf{A} \cdot \) ।, ॥।, ॥ ।
в. ॥, ॥I, IV
c. ॥ा, ।v, \( v \)
D. ॥, III, v
Subject: Physics
The position of an object moving along \( x \) -axis is given by \( x=a+b t^{2}, \) where \( a= \)
\( 8.5 \mathrm{m} \) and \( \mathrm{b}=2.5 \mathrm{m} \mathrm{s}^{-2} \) and \( \mathrm{t} \) is
measured in seconds. The
instantaneous velocity of the object at \( t \)
\( =2 \operatorname{sis} \)
A \( \cdot 5 \mathrm{m} s^{-1} \)
B. \( 10 \mathrm{m} s^{-1} \)
c. \( 15 \mathrm{m} \mathrm{s}^{-1} \)
D. 20 \( \mathrm{m} \mathrm{s}^{-1} \)
Subject: Chemistry
Which of the following complex has
least oxidation state of Fe?
\( \mathbf{A} \cdot K_{3}\left[F e(O H)_{6}\right] \)
B. \( K_{2}\left[F e O_{4}\right] \)
\( \mathbf{c} \cdot F e S O_{4}\left(N H_{4}\right)_{2} S O_{4} \cdot 6 H_{2} O \)
D. \( \left[F e(C N)_{6}\right]^{-3} \)
Subject: Maths
A rectangular pipe of metal \( 16 \mathrm{cm} \times 32 \) \( \mathrm{cm} \) rolled along its length and a cylinder is formed. Find the surface area of the
cylinder. (Use \( \left.\boldsymbol{\pi}=\frac{\mathbf{2 2}}{\mathbf{7}}\right) \)
A \( .532 .13 \mathrm{cm}^{2} \)
B. \( 542.13 \mathrm{cm}^{2} \)
c. \( 552.13 c m^{2} \)
D. \( 562.13 \mathrm{cm}^{2} \)
Subject: Maths
In figure, \( \angle P O R=a^{\circ} \) and \( \angle Q O R=b^{\circ} \)
If \( a^{\circ}-b^{\circ}=60^{\circ} . \) Find angle \( a^{\circ} \) and \( b^{\circ} \)
A \( . \angle a=70^{\circ}, \angle b=110^{\circ} \)
В. \( \angle a=90^{\circ}, \angle b=90^{\circ} \)
C . \( \angle a=120^{\circ}, \angle b=60^{\circ} \)
D. \( \angle a=60^{\circ}, \angle b=120^{\circ} \)
Subject: Chemistry
Which of the following orders is true regarding the acetic nature of monosubstituted acetic acid?
A. Fluoroacetic acid > Chloroacetic acid > Bromoacetic acid
B. Chloroacetic acid <Bromoacetic acid < Fluoroacetic acid
c. Bromoacetic acid < Fluoroacetic acid > Chloroacetic acid
D. Fluoroacetic acid < Bromoacetic acid <Chloroacetic acid
Subject: Chemistry
An element is placed in the 2 nd group and 3 rd period of the periodic table, burns in presence of oxygen to form a
basic oxide. The electronic
configuration of the element is
A. \( K, M, L(2,8,2) \)
B. \( K, L, M(2,6,4) \)
c. К, М, L (4,6,2)
D. K,L, M (2,8, 2)
Subject: Chemistry
A plot of \( \boldsymbol{P} \boldsymbol{v} \boldsymbol{s} \boldsymbol{T} \) for a given mass of gas
of constant volume is a straight line.
P \( \boldsymbol{v} \boldsymbol{s} \boldsymbol{T} \) at constant volumes \( \boldsymbol{V}_{1} \) and \( \boldsymbol{V}_{2} \)
for an ideal gas are shown below:
Which of the following is correct?
\( A \cdot V_{1}>V_{2} \)
B. \( V_{1}<V_{2} \)
\( \mathbf{c} \cdot V_{1}=V_{2} \)
D. \( V_{1}=2 V_{2} \)
Subject: Chemistry
\( \boldsymbol{C H}_{3}-\boldsymbol{N H}-\boldsymbol{C}_{2} \boldsymbol{H}_{5} \) and \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{N} \)
show which type of isomerism?
A. Position
B. Functional
c. chain
D. None of the above
Subject: Chemistry
An aqueous solution is 1.00 molal in \( \mathrm{Kl} \)
Which change will cause the vapour
pressure of the solution to increase?
A. Addition of Nacı
B. Addition of \( \mathrm{Na}_{2} \mathrm{SO}_{4} \)
c. Addition of 1.00 molal KI
D. Addition of water
Subject: Chemistry
Consider the table of standard
reduction potentials shown below.
Half-reaction
\[
\begin{array}{ll}
C l_{2}+2 e^{-} \rightarrow 2 C l^{-} & 1.36 V \\
O_{2}+4 H^{+}+4 e^{-} \rightarrow 2 H_{2} O & 1.23 V \\
2 H_{2} O+2 e^{-} \rightarrow H_{2}+2 O H^{-} & -0.83 V \\
R b^{+}+e^{-} \rightarrow R b & -2.93 V
\end{array}
\]
Use the information from the table and
your knowledge of electrochemistry to
predict the CORRECT net ionic equation
for the reaction that will occur when an
aqueous solution of rubidium chloride
undergoes electrolysis.
\( \mathbf{A} \cdot 2 R b^{+}+2 C l^{-} \rightarrow 2 R b+C l_{2} \)
B \( \cdot 2 H_{2} O \rightarrow 2 H_{2}+O_{2} \)
\( \mathbf{c} \cdot H_{2}+2 O H^{-}+2 R b^{+} \rightarrow 2 R b+2 H_{2} O \)
\( \mathbf{D} \cdot 4 C l^{-}+O_{2}+4 H^{+} \rightarrow 2 H_{2} O+2 C l_{2} \)
Subject: Chemistry
Assertion
Zinc but not copper is used for the recovery of silver from the complex
\( \left[\boldsymbol{A} \boldsymbol{g}(\boldsymbol{C} \boldsymbol{N})_{2}\right] \)
Reason
Zinc is cheaper as well as a strong reducing agent than Cu and replaces Ag from the complex.
Read the above assertion and reason
and choose the correct option regarding
¡t.
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
Which of the following are the characteristics of Ethane but not of
Ethene?
This question has multiple correct options
A. Carbon is \( s p^{3} \) hybridised
B. Carbon is \( s p^{2} \) hybridised
c. Allowed rotation through \( C-C \) bond axis perpendicular to it
D. Forbidden rotation through \( C-C \) bond and axis perpendicular to it
Subject: Physics
A coil of area \( A_{0} \) is lying in such a magnetic field whose value changes
from \( B_{0} \) to \( 4 B_{0} \)
in \( t \) seconds. The induced emf in the coil
will be :
A \( \cdot \frac{4 B_{0}}{A_{0} t} \)
в. \( \frac{4 B_{0} A_{0}}{t} \)
c. \( \frac{3 B_{0} A_{0}}{t} \)
D. \( \frac{3 B_{0}}{A_{0} t} \)
Subject: Maths
Find the shortest distance between the \( \operatorname{lines} \vec{r}=\hat{i}+2 \hat{j}+3 \hat{k}+\lambda(2 \hat{i}+3 \hat{j}+ \)
\( \mathbf{4} \hat{\boldsymbol{k}}) \) and \( \overrightarrow{\boldsymbol{r}}=\mathbf{2} \hat{\boldsymbol{i}}+\mathbf{4} \hat{\boldsymbol{j}}+\mathbf{5} \hat{\boldsymbol{k}}+\boldsymbol{\mu}(\mathbf{4} \hat{\boldsymbol{i}}+ \)
\( \mathbf{6} \hat{\boldsymbol{j}}+\mathbf{8} \hat{\boldsymbol{k}}) \)
Subject: Maths
Let \( f(x)=(x-2)^{33}(x-3)^{44} \) then
which of the following is true
A. \( x=2 \) is point of inflexion
B. \( x=3 \) is point of minima
c. \( _{x}=\frac{17}{7} \) is point of maxima
D. All of these
Subject: Chemistry
The value of \( \Delta H \) for the combustion of
\( \mathrm{C}(\mathrm{s}) \) is \( -94.4 \mathrm{Kcal} . \) The heat of
formation of \( \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g}) \) is:
A. -49.5 Kcal
B. - -94.4 Kcal
c. -188.0 Kcal
D. More data required
Subject: Physics
A coil of area \( A \), turns \( N \) and carrying current \( i \) is placed with its face parallel to the lines of magnetic induction \( B \)
The work done in rotating the coil
through an angle of \( 180^{0} \) is
\( \mathbf{A} \cdot i N A B \)
в. 2 iNA \( B \)
c. \( \frac{i N A B}{2} \)
D. Zero
Subject: Physics
\( L \) is circular loop carrying a current. \( \boldsymbol{P} \)
is a point on its axis \( O X . d l \) is an
element of length on the loop at a point
\( A \) on it. The magnetic field at \( P: \)
This question has multiple correct options
A. due to \( L \) is directed along \( O X \)
B. due to dl is directed along \( O X \)
c. due to dl is perpendicular to \( O X \)
D. due to dl is perpendicular to \( A P \)
Subject: Physics
A man \( 160 \mathrm{cm} \) high stands in front of a plane mirror. His eyes are at a height of \( 150 \mathrm{cm} \) from the floor. Then the
minimum length of the plane mirror for him to see full length image is :
\( A \cdot 85 \mathrm{cm} \)
B. 170 cm
\( c \cdot 80 \mathrm{cm} \)
D. 340 cm
Subject: Chemistry
Which of the following is the stable
electronic configuration of \( F e^{3+} \) ion?
A \( \cdot 3 d^{6} 6 s^{0} \)
B. \( 3 d^{5} s s^{0} \)
c. \( 3 d^{6} 4 s^{2} \)
D. \( 3 d^{4} 4 s^{2} \)
Subject: Chemistry
Moseley's equation is represented as
\( \sqrt{\boldsymbol{v}}=\boldsymbol{a}(\boldsymbol{Z}-\boldsymbol{b}) \) where a and b are
constants If \( \boldsymbol{O} \boldsymbol{A}=\mathbf{1}, \) then atomic
number of the elements showing
frequency of \( 400 H z \) is?
A . 2
\( B \)
\( c .40 \)
0.19
Subject: Maths
The total surface area of a hollow
cylinder, which is open from both the
sides, is \( 3575 \mathrm{cm}^{2} \); area of its base ring
is \( 357.5 \mathrm{cm}^{2} \) and its height is \( 14 \mathrm{cm} \)
then the thickness of the cylinder is 3.5
\( \mathbf{c m} \)
Subject: Physics
A point object is placed at a distance of
\( 20 \mathrm{cm} \) from a thin plano-convex lens of
focal
length \( 15 \mathrm{cm} \), if the plane surface is
silvered. The image will form at:
A. \( 60 \mathrm{cm} \) left of \( A B \)
B. \( 30 \mathrm{cm} \) left of \( A B \)
c. \( 12 \mathrm{cm} \) left of \( A B \)
D. \( 60 \mathrm{cm} \) right of \( A B \)
Subject: Physics
A long straight horizontal cable carries a current of \( 2.5 \mathrm{A} \) in the direction \( 10^{0} \)
south of west to \( 10^{0} \) north of east. The
magnetic meridian of the place
happens to be \( 10^{0} \) west of the
geographic meridian. The earth's magnetic field at the location is \( 0.33 \mathrm{G} \) and the angle of dip is zero. Locate the line of neutral points (ignore the thickness of the cable). (At neutral points, magnetic field due to a current carrying cable is equal and opposite to the horizontal component of earth's magnetic field.)
A. \( 15.15 \mathrm{mm} \)
B. \( 30.15 \mathrm{mm} \)
c. \( 35.15 \mathrm{mm} \)
D. \( 40.15 \mathrm{mm} \)
Subject: Maths
The value of \( \theta \) of mean value theorem for
the function \( f(x)=a x^{2}+b x+c \) in
[1,2] is
\( A \cdot \frac{3}{2} \)
в. \( \frac{1}{2} \)
\( c \cdot \frac{1}{4} \)
D.
Subject: Chemistry
Molar solubility of \( \mathbf{C a}(\mathbf{O} \mathbf{H})_{2} \) in a
solution that has a pH of 12.
\( \left[\boldsymbol{K}_{\boldsymbol{S P}}\left[\mathbf{C a}(\mathbf{O H})_{2}\right]=\mathbf{5 . 6} \times \mathbf{1 0}^{-12}\right] \)
в. \( 5.6 \times 10^{-8} M \)
c. \( 4 \times 10^{-4} M \)
D. None
Subject: Maths
If the roots of the equation \( x^{2}-2 a x+ \)
\( a^{2}+a-3=0 \) are real and less than 3
then
A \( . a<2 \)
в. \( 2 \leq a \leq 3 \)
c. \( 3<a \leq 4 \)
D. \( a>4 \)
Subject: Physics
In a parallel RC circuit, there is \( 100 m A \)
through the resistive branch and
100 \( m A \) through the capacitive branch.
The total rms current is
A \( .200 m A \)
в. \( 100 \mathrm{mA} \)
\( c .282 m A \)
D. \( 141 m A \)
Subject: Physics
Assertion
A bell ringing in an evacuated jar
cannot be heard.
Reason
Sound waves in a gas are longitudinal.
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
A filament bulb \( (500 W, 100 V) \) is to be
used in a \( 230 \mathrm{V} \) main supply. When a resistance \( R \) is connected in series, it works perfectly and the bulb consumes \( \mathbf{5 0 0} \boldsymbol{W} \). The value of \( \boldsymbol{R} \) is.
A . \( 13 \Omega \)
B . \( 230 \Omega \)
c. \( 46 \Omega \)
D. 26 \Omega
Subject: Chemistry
In Duma's method for estimation of
nitrogen, 0.25 g of an organic compound gave \( 40 \mathrm{mL} \) of nitrogen collected at 300 K temperature and 725 mm pressure. If the aqueous tension at \( 300 \mathrm{K} \) is \( 25 \mathrm{mm} \) the percentage of nitrogen in the compound is:
A . 16.76
B. 15.76
c. 17.36
D. 18.20
Subject: Maths
The coordinates of a point \( \boldsymbol{P} \) on the line
\( 2 x-y+5=0 \) such that \( |P A-P B| \) is
maximum where \( A \) is (4,-2) and \( B \) is
(2,-4) will be
A \( .(11,27) \)
B. (-11,-17)
c. (-11,17)
D. (0.5)
Subject: Physics
f an annular disc of radii \( r_{1} \) and \( r_{2} \) is
heated, then
A \( \cdot r_{1} \) increases, \( r_{2} \) decreases
B. \( r_{2} \) increases, \( r_{1} \) decreases
\( c \cdot \operatorname{both} r_{1} \) and \( r_{2} \) increase
\( \mathrm{D} \cdot r_{2} \) increases, \( r_{1} \) remains unchanged
Subject: Physics
if \( \overrightarrow{\boldsymbol{A}} \cdot \overrightarrow{\boldsymbol{B}}=|\overrightarrow{\boldsymbol{A}} \times \overrightarrow{\boldsymbol{B}}| \cdot \) then the resultant \( \overrightarrow{\boldsymbol{A}} \)
and \( \vec{B} \) is
\( A \cdot \vec{A}+\vec{B} \)
B . \( \vec{A}-\vec{B} \)
c. \( \sqrt{A^{2}+B^{2}} \)
D. \( \sqrt{A^{2}+B} \)
Subject: Chemistry
The number of geometrical isomer(s)
possible for \( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4} \boldsymbol{C l}_{2}\right] \)
(octahedral) is/are:
\( A \cdot 3 \)
B. 2
\( c \cdot 4 \)
D. none
Subject: Chemistry
Which of the following is most soluble?
A \( \cdot B i_{2} S_{3}\left(K_{s p}=1 \times 10^{-17}\right) \)
B . \( \operatorname{MnS}\left(K_{s p}=7 \times 10^{-16}\right) \)
c. \( C u S\left(K_{s p}=8 \times 10^{-37}\right) \)
D. \( A g_{2} S\left(K_{s p}=6 \times 10^{-51}\right) \)
Subject: Maths
If \( \boldsymbol{A}=\left(\begin{array}{ccc}4 & 1 & 2 \\ 1 & -2 & 3 \\ 0 & 3 & 2\end{array}\right), \boldsymbol{B}=\left(\begin{array}{ccc}2 & 0 & 4 \\ 6 & 2 & 8 \\ 2 & 4 & 6\end{array}\right) \) and \( \boldsymbol{C}= \)
\( \left(\begin{array}{ccc}1 & 2 & -3 \\ 5 & 0 & 2 \\ 1 & -1 & 1\end{array}\right), \) then
verify that \( \boldsymbol{A}+(\boldsymbol{B}+\boldsymbol{C})=(\boldsymbol{A}+\boldsymbol{B})+ \)
\( \boldsymbol{C} \)
Subject: Physics
Blue light of wavelength 480 nm is most strongly reflected off a thin film of oil on a glass slab when viewed near normal incidence. Assuming that the
index of refraction of the oil is 1.2 and
that of the glass is \( 1.6, \) what is the minimum thickness of the oil film
(other than zero)?
This question has multiple correct options
A . \( 100 n m \)
B. 200nm
c. 300 nm
D. None
Subject: Physics
A man A is sitting in a car at rest
observes a man B on bike moving away
from him with velocity \( 16 m s^{-1}, \) a man
walking on road with velocity \( 2 m s^{-1} \) towards him and a bird flying with
speed \( 20 m s^{-1} \) at angle \( 37^{\circ} \) with
horizontal as shown in Fig. Find the
a. velocity of car, bird, and man C as
seen by man B.
b. velocity of car, bird and man B as
seen by man \( \mathrm{C} \)
c. velocity of car, than \( \mathrm{B} \), and man \( \mathrm{C} \) as
seen by bird:
Subject: Maths
If \( x \% \) of \( a \) is the same as \( y \% \) of \( b \), then
\( z \% \) of \( b \) is
A. \( \frac{y z}{x} \% \) of \( a \)
B. \( \frac{x y}{z} \% \) of \( a \)
c. \( \frac{x z}{y} \% \) of \( a \)
D. \( x y z \% \)
Subject: Maths
The value of the determinant
\( \left|\begin{array}{lll}k a & k^{2}+a^{2} & 1 \\ k b & k^{2}+b^{2} & 1 \\ k c & k^{2}+c^{2} & 1\end{array}\right| \) is
A. \( k(a+b)(b+c)(c+a) \)
B. \( k a b c\left(a^{2}+b^{2}+c^{2}\right) \)
c. \( k(a-b)(b-c)(c-a) \)
D. \( k(a+b-c)(b+c-a)(c+a-b) \)
Subject: Chemistry
Copper is extracted from the ore copper pyrite by smelting in a blast furnace. The flux used and the slag formed are :
\( \mathbf{A} \cdot f \mid \mathbf{u} \times C a O, \operatorname{slag} C a S i O_{3} \)
B. flux \( S i O_{2}, \) slag \( C a S i O_{3} \)
c. flux \( F e O \), slag \( F e S i O_{3} \)
D. flux \( \operatorname{Si} O_{2} \),slag \( F e S i O_{3} \)
Subject: Biology
Refer to the given figure which shows
sectional view of two types of coelom, \( A \)
and B. Select the correct option which
represents groups of animals that
possess A or B.
A. A-Aschelminthes and Annelids; B-Echinoderms and Chordates
B. A-Annelids, Echinoderms and Chordates; BAschelminthes
C. A-Echinoderms and Chordates; B-Aschelminthes and Annelids
D. A-Aschelminthes; B-Annelids, Echinoderms and Chordates
Subject: Chemistry
In the reaction, \( \boldsymbol{F e}+\mathbf{2 H C l} \rightarrow \)
\( F e C l_{2}+H_{2} . \) what is the oxidation state
of Fe in \( \boldsymbol{F e C l}_{2} \) ?
\( A \cdot+2 \)
\( B \cdot+3 \)
\( c \cdot+4 \)
D. +5
Subject: Maths
If \( f(a)=2, f^{\prime}(a)=1, g(a)=-1 \) and
\( g^{\prime}(a)=2, \) the value of
\( \lim _{x \rightarrow a} \frac{g(x) f(a)-g(a) f(x)}{x-a} \) is
A . -5
B. \( \frac{1}{5} \)
\( c .5 \)
D. none of these
Subject: Maths
If \( x^{2}+y^{2}=R^{2} \) and \( K=\frac{1}{R} \) then \( K= \)
A. \( \frac{y_{1}}{x \sqrt{1+y_{1}^{2}}} \)
в. \( \frac{\left|y_{2}\right|}{\sqrt{\left(1+y_{1}^{2}\right)^{3}}} \)
c. \( \frac{2\left|y_{2}\right|}{\sqrt{1+y_{1}^{2}}} \)
D. \( \frac{3\left|y_{2}\right|}{\sqrt{\left(1+y_{1}^{3}\right)^{3}}} \)
Subject: Chemistry
Assertion
STATEMENT \( 1: S O_{2} \) obtained either by
the oxidation of \( H_{2} S \) or decomposition
of sulphate salt contains sulphur and oxygen in the mass ratio 1: 2
Reason
STATEMENTT
\( 2: S_{(s)}+O_{2(g)} \rightarrow S O_{2(g)} \)
A. Statement 1 is True, Statement 2 is True; Statement 2 is a correct explanation for statement 1.
B. Statement 1 is True, Statement 2 is True; Statement 2 i not a correct explanation for Statement 1
c. Statement 1 is True, Statement 2 is False
D. Statement 1 is False, Statement 2 is True
Subject: Maths
Find area curved by three circles
\( \mathbf{A} \cdot(5 \pi-3 \sqrt{3}) \) units \( ^{2} \)
\( \mathbf{B} \cdot(5 \pi+4 \sqrt{3}) \) units \( ^{2} \)
\( \mathbf{c} \cdot(5 \pi+3 \sqrt{3}) \) units \( ^{2} \)
\( \mathbf{D} \cdot(5 \pi+3 \sqrt{2}) \) units \( ^{2} \)
Subject: Maths
In the given figure, \( A B E D \) is a
parallelogram in which \( A B=D E= \)
\( 10 c m \) and the area of \( \triangle B E C \) is \( 72 c m^{2} \)
If \( C E=16 \mathrm{cm}, \) find the area of the
trapezium \( \boldsymbol{A B C D} \)
Subject: Chemistry
The following are some statements about oxyac-ids of \( \mathbf{V} \) Ag roup elements
i) The salt of Nitric acid contains \( \mathbf{N O}_{3^{-}} \)
ion
ii) The salt of phosphoric acid contains \( \mathbf{P} \mathrm{O}_{4}^{3-} \) ion
iii) Salts of meta phosphoric acid contains \( \mathbf{H}_{\mathbf{2}} \mathbf{P} \mathbf{O}_{\mathbf{3}-} \mathbf{8} \mathbf{H} \mathbf{P} \mathbf{O}_{\mathbf{3}}^{\mathbf{2 -}} \) ions
The correct combination is :
A. i and ii are correct
B. ii and iii are correct
c. all are correct
D. only ii is correct
Subject: Maths
Let \( \vec{a}=x^{2} \hat{i}+2 \hat{j}-2 \hat{k}, \vec{b}=\hat{i}-\hat{j}+\hat{k} \)
and \( \vec{c}=x^{2} \hat{i}+5 \hat{j}-4 \hat{k} \) be three vectors.
Find the values of \( x \) for which the angle between \( \vec{a} \) and \( \vec{b} \) is acute and the angle between \( \vec{b} \) and \( \vec{c} \) is obtuse.
A \( \cdot(-3,-2) \cup(2,3) \)
B . (-3,-1)\( \cup(1,3) \)
c. (-3,-1)\( \cap(1,3) \)
D. (-3,-2)\( \cap(2,3) \)
Subject: Physics
Consider two statements:
A) The force with which two charges
interact is not changed by the presence of the other charges.
B) Electric force experienced by the
charge particle due to number of fixed point charges is vector resultant of the
forces experience due to individual
charge.
\( A \). Both \( A \) and \( B \) are correct
B. Only A is correct
C. Only B is correct
D. Both A and B are wrong
Subject: Physics
The electric flux through the curve
surface of a cone. Due to a charge \( Q \)
placed at its mouth,
A. \( \phi=0 \)
в. \( \phi>\frac{Q}{2_{\varepsilon}} \)
c. \( _{\phi>\frac{Q}{\varepsilon_{0}}} \)
D. \( \phi=\frac{Q}{z_{0}} \)
Subject: Maths
If \( \quad z_{r}=\cos \frac{r \alpha}{n^{2}}+i \sin \frac{r \alpha}{n^{2}}, \) where \( r= \)
\( 1,2,3, \dots, n, \) then \( \lim _{n \rightarrow \infty}\left(z_{1}, z_{2} \dots \dots, z_{n}\right) \) is
equal to
A \( \cdot \cos \alpha+i \sin \alpha \)
B・sin \( \frac{\alpha}{2}+i \cos \frac{\alpha}{2} \)
\( \mathbf{c} \cdot e^{i \alpha / 2} \)
D. \( \sqrt{e^{i}} \)
Subject: Chemistry
Identify the pair of binary corresponds in which nitrogen exhibits the lowest
and the highest oxidation state.
A. \( N H_{3}, N O_{2} \)
в. \( N_{3} H, N_{2} O_{5} \)
c. \( N_{2}, H N O_{3} \)
D. \( N_{2} O, N_{2} O_{5} \)
Subject: Physics
A uniform string of length / is fixed at both ends such that tension T is
produced in it. The string is excited to vibrate with maximum displacement
amplitude \( a_{o} . \) The kinetic energy of the
string for its \( f \) irst overtone is given as \( \frac{a_{0}^{2} \pi^{2} T}{x l} . \) Find \( x \)
Subject: Chemistry
Which of the following reaction is
feasible for the preparation of 1 -propoxy
2 methyl propane?
This question has multiple correct options
A. Williamson's synthesis of
\( \left(M e_{2} C H C H_{2} O N a+M e C H_{2} C H_{2} C l\right) \)
B. Williamson's synthesis of
\( \left(M e_{2} C H C H_{2} C l+M e C H_{2} C H_{2} O N a\right) \)
C. Alkoxymercuration-demercuration of
\( \left(M e_{2} C=C H_{2}+M e C H_{2} C H_{2} O H\right) \)
D. Alkoxy mercuration demercuration of propene with \( M e_{2} C H C H_{2} O H \)