AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Biology
In Hatch and Slack pathway the
A. Chloroplasts are of same type
B. Occurs in Kranz anatomy, where mesophyll cells have small chloroplasts whereas bundle sheath cells have agranal chloroplasts
C. Occurs in Kranz anatomy, where mesophyll cells have small chloroplasts whereas bundle sheath cells have larger chloroplasts
D. Kranz anatomy, where mesophyll cells are diffused
Subject: Maths
In a village of 120 families, 93 families
use firewood for cooking, 63 families use kerosene, 45 families use cooking
gas, 45 families use firewood and kerosene, 24 families use kerosene and
cooking gas, 27 families use cooking gas and firewood. Find how many use firewood, kerosene and cooking gas.
A . 10
B . 15
c. 20
D. 25
Subject: Physics
If \( S \) is stress and \( Y \) is the Young's modulus of the material of a wire, the
energy stored in the wire per unit volume is :
\( \mathbf{A} \cdot 2 S^{2} Y \)
B. \( \frac{s^{2}}{2 Y} \)
c. \( \frac{2 Y}{S^{2}} \)
D. \( \frac{s}{2 Y} \)
Subject: Maths
Factorise each of the following:
(i) \( 8 a^{3}+b^{3}+12 a^{b}+6 a b^{2} \)
(ii) \( 8 a^{3}-b^{3}-12 a^{2} b+6 a b^{2} \)
(iii) \( 27-125 a^{3}-135 a+225 a^{2} \)
(iv) \( 64 a^{3}-27 b^{3}-144 a^{2} b+108 a b^{2} \)
\( (v) 27 p^{3}-\frac{1}{216}-\frac{9}{2} p^{2}+\frac{1}{4} p \)
Subject: Chemistry
Brown ring complex known as:
\( \mathbf{A} \cdot K_{4}\left[F e(C N)_{6}\right] \)
\( \mathbf{B} \cdot\left[F e(N O)\left(H_{2} O\right)_{5}\right] S O_{4} \)
\( \left.\mathbf{c} \cdot\left[F e(N O)_{2}\right)\left(H_{2} O\right)_{4}\right] B r_{2} \)
\( \mathbf{D} \cdot\left[F e F_{6}\right]^{3-} \)
Subject: Chemistry
The heat of formation \( \left(\Delta H_{f}^{o}\right) \) of \( H_{2} O(l) \) is equal to:
A. zero
B. molar heat of combustion of \( H_{2}(l) \)
c. molar heat of combustion of \( H_{2}(g) \)
D. sum of heat of formation of \( H_{2} O(g) \) and \( O_{2}(g) \)
Subject: Physics
At a height \( h \) above the surface of earth, the change in value of \( g \) is same as that
at a depth \( x \) below the surface on the
earth. Both \( x \) and \( h \) are very small in comparison to the radius of the earth. Then
\( \mathbf{A} \cdot x=h \)
B. \( x=2 h \)
c. \( 2 x=h \)
D. \( x=h^{2} \)
Subject: Physics
What is the rate of change of
capacitance with temperature if the
capacity of capacitor is \( \mathrm{C} \) ?
\( A \cdot C\left(2 \alpha_{1}-\alpha_{2}\right) \)
B. \( c\left(\alpha_{1}-\alpha_{2}\right) \)
\( c \cdot c\left(\alpha_{1}-2 \alpha_{2}\right) \)
D. \( \frac{C\left(\alpha_{1}-\alpha_{2}\right)}{2} \)
Subject: Chemistry
Compound \( A \) undergoes formation of cyanohydrins which on hydrolysis gives
lactic acid \( \left(\boldsymbol{C H}_{3} \boldsymbol{C H O H} \boldsymbol{C O O H}\right) \)
Therefore, compound \( \boldsymbol{A} \) is:
A. formaldehyde
B. acetaldehyde
c. acetone
D. benzaldehyde
Subject: Maths
The value of \( \left(1+\frac{1}{a}\right)\left(1+\frac{1}{a-1}\right)\left(1+\frac{1}{a-2}\right) \)
A. \( \frac{a-3}{a} \)
B. \( \frac{a+1}{a-4} \)
c. \( \frac{a+1}{a-1} \)
D. \( \frac{a-1}{a-4} \)
Subject: Physics
Obtain the resonant frequency and \( Q \) factor of a series LCR circuit with \( L=3.0 \)
\( \mathrm{H}, \boldsymbol{C}=\mathbf{2 7} \boldsymbol{\mu} \boldsymbol{F}, \) and \( \boldsymbol{R}=\mathbf{7 . 4} \mathbf{\Omega} . \) It is
desired to improve the sharpness of the resonance of the circuit by reducing its full width at half maximum' by a factor
of \( 2 . \) Suggest a suitable way.
Subject: Physics
The distance of closest approach of an
\( \alpha \) - particle fired towards a nucleus with
momentum \( p \),is \( r . \) The distance of
closest approach when the
momentum of \( \alpha \) -particle is \( 2 p \) is
A \( \cdot 2 r \)
B. \( 4 r \)
\( c \cdot r / 2 \)
D. \( r / 4 \)
Subject: Physics
In conducting wire of radius \( 5 m m \)
resistivity \( \rho=1.1 \times 10^{-8} \Omega / m \) and
current of \( 5 A \) is flowing. Drift velocity of
free electron is \( 1.1 \times 10^{-3} \mathrm{m} / \mathrm{s} \) find out
mobility of free electron.
A . \( 1.57 \mathrm{m}^{2} \) volt/sec
B . \( 1.25 \mathrm{m}^{2} \) volt/sec
c. \( 1.2 m^{2} \) volt/sec
D. \( 2 m^{2} \) volt/sec
Subject: Maths
\( \ln \) a \( \Delta P R S, \angle P R S=120^{\circ} . A \) point \( Q \) is
taken of \( P R \) such that \( P Q=Q S \) and
\( Q R=R S \) then \( \angle Q P S=\dots \)
A \( \cdot 15^{\circ} \)
B. \( 30^{\circ} \)
\( c \cdot 45^{\circ} \)
D. \( 12^{\circ} \)
Subject: Biology
Study the given statement about gymosperms and select the correct option
¡) Siphonogamous oogamy
(ii) Male and female cone are borne on
same tree in Pinus
iii) Endosperm represents female gametophyte
A. Statement (i) and (ii) are correct
B. Statement (ii) and (iii) are correct
C. Statement (i) and (iii) are correct
D. Statement (i),(ii) and (iii) are correct
Subject: Maths
Solve graphically the following pairs of
equations
\( \boldsymbol{y}=\mathbf{2} \boldsymbol{x}+\mathbf{1} ; \boldsymbol{y}+\mathbf{3} \boldsymbol{x}-\mathbf{6}=\mathbf{0} \)
\( \mathbf{A} \cdot(1,3) \)
B \( \cdot(2,3) \)
\( \mathbf{c} \cdot(4,3) \)
D. None of these
Subject: Chemistry
The hypothetical complex
chlorodiaquatriamminecobalt(III) chloride can be represented as:
A \( \cdot\left[\operatorname{CoCl}\left(N H_{3}\right)_{3}\left(H_{2} O\right)_{2}\right] C l_{2} \)
B. \( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{3}\left(\mathrm{H}_{2} \mathrm{O}\right) \mathrm{Cl}_{3}\right] \)
c. \( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{3}\left(\mathrm{H}_{2} \mathrm{O}\right)_{2} \mathrm{Cl}\right. \)
D \( \left[\operatorname{Co}\left(N H_{3}\right)_{3}\left(H_{2} O\right)_{3}\right] C l_{3} \)
Subject: Physics
Two wires are made of the same
material and have the same volume.
However wire 1 has cross-sectional area
\( A \) and wire 2 has cross- sectional area
3 A. If the length of wire 1 increases by \( \Delta x \) on applying force \( F, \) how much force is needed to stretch wire 2 by the same
amount ?
A.
B. 4 F
\( c .6 \mathrm{F} \)
D. 9 F
Subject: Chemistry
At \( 27^{\circ} \mathrm{C} \) it was observed in the
hydrogenation of a reaction, the
pressure of \( \boldsymbol{H}_{2}(\boldsymbol{g}) \) decreases from 10
\( \operatorname{atm} \operatorname{to} 2 \operatorname{atm} \) is 10 min. The rate of the
reaction is \( 3 \times 10^{-x} \) Mmin \( ^{-1} \). Find the
value of \( x \)
\( \left[\text { Given } R=0.08 L \operatorname{atm} K^{-1} m o l^{-1}\right] \)
Subject: Maths
If each permutation of the digits
\( \mathbf{1}, \mathbf{2}, \mathbf{3}, \mathbf{4}, \mathbf{5}, \mathbf{6} \) are listed in the increasing
order of magnitude, then \( 289^{t h} \) term will
be
A . 361452
B. 321546
c. 321456
D. 341256
Subject: Physics
A heavy box is to be dragged along a rough horizontal floor. To do so, person A
pushes it at an angle \( 30^{\circ} \) from the horizontal and requires a minimum force \( \boldsymbol{F}_{A}, \) while person \( \mathrm{B} \) pulls the box at
an angle \( 60^{\circ} \) from the horizontal and
needs minimum force \( \boldsymbol{F}_{B} \). If the
coefficient of friction between the box
and the floor is \( \frac{\sqrt{3}}{5}, \) find the ratio \( \frac{F_{A}}{F_{B}} \)
A. \( \sqrt{3} \)
в. \( \frac{5}{\sqrt{3}} \)
c. \( \sqrt{\frac{3}{2}} \)
D. \( \frac{2}{\sqrt{3}} \)
Subject: Physics
A parallel plate air capacitor has
capacity' \( C^{\prime}, \) distance of separation
between plate is ' \( d^{\prime} \) and potential
difference \( ^{\prime} V^{\prime} \) is applied between the
plates. Force of attraction between the
plates of the parallel plate air capacitor is:
\( ^{\mathbf{A}} \cdot \frac{C^{2} V^{2}}{2 d^{2}} \)
B. \( \frac{C^{2} V^{2}}{2 d} \)
\( c \cdot \frac{C V^{2}}{2 d} \)
D. \( \frac{C^{2} V}{d} \)
Subject: Maths
\( \left|\begin{array}{ccc}\mathbf{1} & \mathbf{1} & \mathbf{1} \\ \boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z} \\ \boldsymbol{y} \boldsymbol{z} & \boldsymbol{z} \boldsymbol{x} & \boldsymbol{x} \boldsymbol{y}\end{array}\right|=\boldsymbol{b}(\boldsymbol{x}-\boldsymbol{y})(\boldsymbol{y}- \)
\( z)(z-x) . \) Find
Subject: Physics
A particle is projected upward from the surface of earth (radius \( =\boldsymbol{R} \) ) with a
speed equal to the orbital speed of a satellite near the earth's surface. The height to which it would rise is
A \( \cdot \sqrt{2} R \)
в. \( \frac{R}{\sqrt{2}} \)
\( c . R \)
D. 2 \( R \)
Subject: Chemistry
Assertion
\( \boldsymbol{S} \boldsymbol{c}(\boldsymbol{Z}=\mathbf{2 1}) \) is placed in d-block
elements.
Reason
Last filling electron goes into \( 3 d- \) suborbit.
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
ABCD is a trapezium in which \( \boldsymbol{A B} \| \) \( C D, \) if \( A B=7 \mathrm{cm}, D C=3 \mathrm{cm} \) and if the
area of the trapezium is \( 18 \mathrm{cm}^{2} \), then
the area of \( \triangle B C D \) is
A \( \cdot 5 \frac{2}{5} c m^{2} \)
в. \( 6 \frac{2}{5} \mathrm{cm}^{2} \)
c. \( 7 \frac{2}{5} c m^{2} \)
D. \( 8 \frac{2}{5} c m^{2} \)
Subject: Chemistry
The energy diagram of a reaction \( \boldsymbol{P}+ \)
\( Q \rightarrow R+S \) is given.What are \( A \) and \( B \)
in the graph?
A. \( A \rightarrow \) activation energy, \( B \rightarrow \) heat of reaction
B. \( A \rightarrow \) threshold energy, \( B \rightarrow \) heat of reaction
C. \( A \rightarrow \) heat of energy, \( B \rightarrow \) activation reaction
D. \( A \rightarrow \) potential energy, \( B \rightarrow \) energy of reaction
Subject: Physics
Two solid discs of radii \( r \) and \( 2 r \) roll
from the top of an inclined plane without slipping. Then
A. The bigger disc will reach the horizontal level first
B. The smaller disc will reach the horizontal level first
c. The time difference of reaching of the discs at the horizontal level will depend on the inclination of the plane
D. Both the discs will reach at the same time
Subject: Physics
A cylindrical vessel contains a liquid of
density \( \rho \) up to height \( h \). The liquid is
closed by a piston of mass \( m \) and area
of cross section \( A \). There is a small hole
at the bottom of the vessel. The speed \( v \)
with which the liquid comes out of the hole is
A \( \cdot \sqrt{2 g h} \)
B. \( \sqrt{2\left(g h+\frac{m g}{\rho A}\right)} \)
c. \( \sqrt{2\left(g h+\frac{m g}{A}\right)} \)
D. \( \sqrt{2 g h+\left(\frac{m g}{A}\right)} \)
Subject: Maths
Write the first five terms of the
sequence and obtain the corresponding
series:
\( \boldsymbol{a}_{1}=\boldsymbol{a}_{2}=\boldsymbol{2}, \boldsymbol{a}_{n}=\boldsymbol{a}_{n-1}-\mathbf{1}, \boldsymbol{n}>\mathbf{2} \)
Subject: Chemistry
Assertion
Heat and work are "definite quantities"
Reason
Heat and work are not properties of a
system their values depend on the path
of the process and vary accordingly.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Chemistry
A mixture of 2 moles of \( N_{2} \) and 8 moles
of \( H_{2} \) are heated in a 2 lit vessel, till
equilibrium is established. At
equilibrium 0.4 moles of \( N_{2} \) was present. What will be the equilibrium
concentration of \( \boldsymbol{H}_{2} ? \)
\( A \cdot 2 \) mole/lit
B. 4 mole/lit
c. 1.6 mole/lit
D. 1 mole/lit
Subject: Chemistry
\( \underset{(\text {Sulphide ore})}{\boldsymbol{A}}+\boldsymbol{N a C} \boldsymbol{N} \stackrel{\boldsymbol{a i r}}{=} \underset{(c o m p l e x)}{\boldsymbol{B}}+ \)
\( N a_{2} S \stackrel{O_{2}}{\longrightarrow} N a_{2} S O_{4} \)
Then \( B \) is :
A. Ferromagnetic
B. Paramagnetic
C. Linear complex
D. coordination number of central atom is 4
Subject: Chemistry
Assertion
Statement-I : boiling point of alkyl halide increases with increase in
molecular weight.
Because
Reason
Statement-II : boiling point of alkyl halides are in the order \( R I>R B r> \)
\( \boldsymbol{R} \boldsymbol{C l}>\boldsymbol{R} \boldsymbol{F} \)
A. (A) Statement-I is true, Statement-II is true Statement-II is correct explanation for Statement-I
B. (B) Statement-I is true, Statement-II is true Statement-II is NOT a correct explanation for Statement-I.
c. (c) Statement-I is true, Statement-II is false
D. (D) Statement-I is false, Statement-II is true
Subject: Physics
In the adjacent circuit a resistance \( \mathrm{R} \) is
used. Initially with 'wire \( A B^{\prime} \) not in the
circuit, the galvanometer shows a deflection of d divisions. Now, the 'wire
\( A B^{\prime} \) is connected parallel to the
galvanometer and the galvanometer shows a deflection nearly \( \boldsymbol{d} / 2 \) division. Therefore current sensitivity of the galvanometer is about:
Subject: Physics
A car initially travelling eastwards turns north by travelling in a quarter circular path of radius R metres at uniform speed as shown in figure. The
car completes the turn in T second.
(a) What is the acceleration of the car
when it is at \( \mathrm{B} \) located at an angle of \( 37^{\circ} \)
Express your answers in terms of unit vectors \( \hat{i} \) and \( \hat{j} \)
(b) The magnitude of car's average acceleration during T second period.
Subject: Maths
If \( \phi(x)=\phi^{\prime}(x) \) and \( \phi(1)=2 \) then \( \phi(3) \)
is equal to
\( A \cdot \phi^{2} \)
B . \( 2 \phi^{2} \)
\( c \cdot 3 \phi^{2} \)
D. \( 2 \phi^{3} \)
Subject: Chemistry
Which of the following sequences is
correct?
\( \mathbf{A} \cdot p K_{a}\left(p-O_{2} N C_{6} H_{4} C O O H\right)>p K_{a} \)
\[
\left(C_{6} H_{5} C O O H\right)>p K_{a}\left(p-H O C_{6} H_{4} C O O H\right)
\]
B \( \cdot p K_{a}\left(p-O_{2} N C_{6} H_{4} C O O H\right)<p K_{a} \)
\[
\left(C_{6} H_{5} C O O H\right)<p K_{a}\left(p-H O C_{6} H_{4} C O O H\right)
\]
\( \mathbf{c} \cdot p K_{a}\left(p-O_{2} N C_{6} H_{4} C O O H\right)>p K_{a} \)
\[
\left(C_{6} H_{5} C O O H\right)<p K_{a}\left(p-H O C_{6} H_{4} C O O H\right)
\]
\( \mathbf{D} \cdot p K_{a}\left(p-O_{2} N C_{6} H_{4} C O O H\right)<p K_{a} \)
\[
\left(C_{6} H_{5} C O O H\right)>p K_{a}\left(p-H O C_{6} H_{4} C O O H\right)
\]
Subject: Chemistry
In the reaction given below, the product \( \boldsymbol{X} \) is:
\( 4 H N O_{3}+P_{4} O_{10} \rightarrow 4 H P O_{3}+X \)
A. \( N_{2} O_{5} \)
в. \( N_{2} O_{3} \)
\( c \cdot N O_{2} \)
D. \( H_{2} O \)
Subject: Maths
Three six-faced dice are thrown
together. The probability that the sum of the numbers appearing on the dice is
\( k(9 \leq k \leq 14) \) is
\( ^{\text {A } \cdot} \frac{21 k-k^{2}-83}{216} \)
B. \( \frac{k^{2}-3 k+2}{432} \)
c. \( \frac{21 k-k^{2}-83}{432} \)
D. None of these
Subject: Maths
If a plane passes through a fixed point
(2,3,4) and meets the axes of reference
in \( A, B \) and \( C, \) the point of intersection
of the planes through \( A, B, C \) parallel to the coordinate planes can be
This question has multiple correct options
A \( \cdot(6,9,12) \)
B \( \cdot(4,12,16) \)
\( \mathbf{c} \cdot(1,1,-1) \)
D. (2,3,-4)
Subject: Physics
An air cored solenoid with length 20
\( \mathrm{cm}, \) area of cross section is \( 20 \mathrm{cm}^{2} \) and
the number of turns 400 carries a
current 2 A. The current is suddenly
switched off within \( 10^{-3} \) sec. The
average back emf induced across the
end of the open switch in the circuit is ignore variation in magnetic field near the end of the solenoid)
A. \( 2 v \)
B. 4
\( c \cdot 3 v \)
D. 5 v
Subject: Maths
A vertical tower OP stands at the centre
O of a square ABCD. Let h and b denote the length OP and AB respectively.
Suppose \( \angle A P B=60^{\circ}, \) then the
relationship between h and b can be
expressed as:
\( \mathbf{A} \cdot 2 b^{2}=h^{2} \)
B \( \cdot 2 h^{2}=b^{2} \)
\( \mathbf{c} \cdot 3 b^{2}=2 h^{2} \)
D. \( 3 h^{2}=2 b^{2} \)
Subject: Chemistry
A mixture of hydrogen and iodine in the mole ratio 1.5: 1 is maintained at
\( 450^{\circ} \mathrm{C} \) After the attainment of
equilibrium, \( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}), \) it is found
on analysis that the mole ratio of \( I_{2} \) to \( H I \) is \( 1: 18 . \) The equilibrium constant
is :
A . 54
B. 46
\( c \cdot 64 \)
D. 76
Subject: Physics
A rectangular block has length, breadth and height of \( 30 \mathrm{cm}, 20 \mathrm{cm} \) and \( 10 \mathrm{cm} \) respectively.Which one ofthe following statements is correct?
A. The minimum pressure is exerted when breadth and height form the base
B. The maximum pressure is exerted when breadth and height form the base
c. The minimum pressure is exerted when length and height form the base
D. The maximum pressure is exerted when length and breadth form the base
Subject: Chemistry
Three electrolytic cells \( A, B \) and \( C \)
containing electrolytes \( Z n S O_{4} \)
\( A g N O_{3} \) and \( C u S O_{4} \) respectively were connected in series. A steady current of
1.50 ampere was passed through them until 1.45 of \( A g \) were deposited at the
cathode of cell \( B \). How long did the current flow? What mass copper and
zinc were deposited? (Atomic weight of \( \boldsymbol{C u}=\mathbf{6 3 . 5}, \boldsymbol{Z n}=\mathbf{6 5 . 3}, \boldsymbol{A} \boldsymbol{g}=\mathbf{1 0 8} \)
Subject: Chemistry
If uncertainty in the measurement of position and momentum of an electron are equal, then uncertainty in the measurement of its velocity ??
A \( \cdot 8 \times 10^{12} \mathrm{m} \mathrm{s}^{-1} \)
B. \( 6 \times 10^{12} \mathrm{m} \mathrm{s}^{-1} \)
c. \( 4 \times 10^{12} \mathrm{m} \mathrm{s}^{-1} \)
D. \( 2 \times 10^{12} \mathrm{m} \mathrm{s}^{-1} \)
Subject: Maths
\( \cos ^{-1}\left\{\frac{1}{2} x^{2}+\sqrt{1-x^{2}} \cdot \sqrt{1-\frac{x^{2}}{4}}\right\}= \)
\( \cos ^{-1} \frac{x}{2}-\cos ^{-1} x \) holds for
A. \( |x| \leq 1 \)
В. \( x \in R \)
c. \( 0 \leq x \leq 1 \)
D. \( -1 \leq x \leq 0 \)
Subject: Physics
Match the column I with column II
Types of processes Features
(A)Isothermal
\( (p) \quad \Delta Q=0 \)
(B)Isobaric
(q) Volume
constant
(C)Isochoric
Pressure constant
(D)Adiabatic
Temperature constant
\( A \cdot(A)-(s),(B)-(r),(C)(q),(D)(p) \)
B. (A) - (p), (B) - (s), (C) (r), (D) (q)
\( c \cdot(A)-(q),(B)-(r),(C)(p),(D)(s) \)
\( D \cdot(A)-(r),(B)-(p),(C)(q),(D)(s) \)
Subject: Chemistry
The following equilibrium constants are given:
\( N_{2}+3 H_{2} \rightleftharpoons 2 N H_{3} ; K_{1} \)
\( N_{2}+O_{2} \rightleftharpoons 2 N O ; K_{2} \)
\( \boldsymbol{H}_{2}+\frac{1}{2} \boldsymbol{O}_{2} \rightleftharpoons \boldsymbol{H}_{2} \boldsymbol{O} ; \boldsymbol{K}_{3} \)
The equilibrium constant for the
oxidation of 2 mol of \( N H_{3} \) to give NO is?
A \( \cdot_{K_{1}} \cdot \frac{K_{2}}{K_{3}} \)
В. \( \quad K_{2} \cdot \frac{K_{3}^{3}}{K_{1}} \)
\( ^{\mathbf{c}} \cdot_{K_{2}} \cdot \frac{K_{3}^{2}}{K_{1}} \)
D. \( _{K_{2}^{2}} \cdot \frac{K_{3}}{K_{1}} \)
Subject: Chemistry
Assertion \( (A): O_{3} \) is used to
study tailing effect. Reason (R): Mercurous oxide is formed
as a result of oxidation of mercury
using ozone. The correct answer is:
A. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are correct and Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
Subject: Maths
If maximum and minimum values of
the determinant
\( \left|\begin{array}{ccc}1+\sin ^{2} x & \cos ^{2} x & \sin 2 x \\ \sin ^{2} x & 1+\cos ^{2} x & \sin 2 x \\ \sin ^{2} x & \cos ^{2} x & 1+\sin 2 x\end{array}\right| \) are
\( \alpha \) and \( \beta, \) then
This question has multiple correct options
\( \mathbf{A} \cdot \alpha+\beta^{99}=4 \)
B \( \cdot \alpha^{3}-\beta^{17}=26 \)
C \( \cdot\left(\alpha^{2 n}-\beta^{2 n}\right) \) is always an even integer for \( n \in N \)
D. a triangle can be constructed having its sides as \( \alpha- \) \( \beta, \alpha+\beta \) and \( \alpha+3 \beta \)
Subject: Biology
Choose the schematic diagram, which
properly represents pulmonary
circulation in human.
A \( \cdot \) Right ventricle \( \frac{\text { Deoxygenated }}{\text { blood }} \) Lungs \( \frac{\text { Oxygenated }}{\text { blood }} \) Left auricle
B. Right ventricle \( \frac{\text { Oxygenated }}{\text { blood }} \) Lungs \( \frac{\text { Deoxygenated }}{\text { bood }} \) Left auricle
C. Left ventricle \( \frac{\text { Oxygenated }}{\text { blood }} \) Lungs \( \frac{\text { Deoxygenated }}{\text { blood }} \) Right ventricle
D. Left auricle \( \frac{\text { Oxygenated }}{\text { blood }} \) Lungs \( \frac{\text { Deoxygenated }}{\text { blood }} \) Right ventricle
Subject: Chemistry
Relate all the four columns of the table
with and A in What is and \( \begin{array}{llll}\text { Metal } & \text { Ore } & \begin{array}{l}\text { Chemical } \\ \text { formula }\end{array} & \begin{array}{l}\text { Reducti } \\ \text { process }\end{array} \\ \text { Al } & \text { haemetite } & P b S & \text { blast fur } \\ \text { Cu } & \text { bauxite } & F e_{2} O_{3} & \text { besseme } \\ \text { Fe } & \begin{array}{l}\text { copper } \\ \text { pyrite }\end{array} & A l_{2} O_{3} .2 H_{2} O & \text { froth flo } \\ \text { Pb } & \text { galena } & C u F e S_{2} & \text { Hall's pro }\end{array} \)
Subject: Maths
A circle is inscribed in an equilateral
triangle of side \( a . \) What is the area of any square inscribed in the circle?
A \( \cdot \frac{a^{2}}{3} \)
в. \( \frac{a^{2}}{4} \)
c. \( \frac{a^{2}}{6} \)
D. \( \frac{a^{2}}{8} \)
Subject: Maths
Let \( \boldsymbol{P}(\boldsymbol{x}) \) be a polynomial, which when divided by \( (x-3) \) and \( (x-5) \) leaves
remainders 10 and \( 6, \) respectively. If the polynomial is divided by \( (x-3)(x-5) \)
then the remainder is
A \( .-2 x+16 \)
B . 16
\( c \cdot 2 x-16 \)
D. 60
Subject: Chemistry
Given below are the half-cell reactions:
\( M n^{2+}+2 e^{-} \rightarrow M n ; E^{o}=-1.18 V \)
\( \mathbf{2}\left(\boldsymbol{M} \boldsymbol{n}^{3+}+\boldsymbol{e}^{-} \rightarrow \boldsymbol{M} \boldsymbol{n}^{2+}\right) ; \boldsymbol{E}^{o}= \)
\( +1.51 V \)
The \( \boldsymbol{E}^{o} \) for \( \boldsymbol{3} \boldsymbol{M} \boldsymbol{n}^{2+} \rightarrow \boldsymbol{M} \boldsymbol{n}+\boldsymbol{2} \boldsymbol{M} \boldsymbol{n}^{3+} \)
will be:
A. \( -0.33 V ; \) the reaction will not occur
B. \( -0.33 V ; \) the reaction will occur
c. \( -2.69 V \); the reaction will not occur
D. \( -2.69 V \); the reaction will occur
Subject: Physics
\( \mathbf{A} \) time \( \boldsymbol{t}=\mathbf{0} \) a particle starts moving
along the \( x \) axis. If its kinetic energy
increases uniformly with \( t, \) the net force acting on it must be
A. Constant
B. Proportional to \( t \)
C . Inversely proportional to \( t^{2} \)
D. Proportional to \( 1 / \sqrt{t} \)
Subject: Maths
If the average of the following data is
100. Find the value of \( p \)
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline\( x: \) & 10 & 20 & 30 & 40 & 50 & 60 \\
\hline\( f: \) & 2 & 4 & \( p \) & 8 & 10 & 12 \\
\hline
\end{tabular}
A . -26
B. -28
c. -25
D. -24
Subject: Physics
Assertion
Reversible systems are difficult to find
in the real world.
Reason
Most processes are dissipative in
nature.
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: Biology
All of our cells contain protooncogenes that may turn into oncogenes, which are cancer genes. Which statement best describes the protooncogenes?
A. Came into our cells from a viral infection of our ancestors
B. Arose from plasmids that have been inserted into bacteria and now reside in us
C. Are DNA "junk" with no known function
D. Turn into oncogenes as we age
E. Help regulate cell division
Subject: Chemistry
The radius of \( L a^{3+}(\text { At.No. of } L a=57) \) is
1.06A. Which one of the following given
values will be closest to the radius of
\( L u^{3+}(\text { At.No. of } L u=71) \)
A . \( 1.40 A \)
B. \( 1.06 \mathrm{A} \)
c. \( 0.85 A \)
D. 1.60A