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\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(\tan ^{-1}\left(\frac{\boldsymbol{a}-\boldsymbol{x}}{\mathbf{1}+\boldsymbol{a} \boldsymbol{x}}\right)\right) \) equals if \( \mathbf{a x}>-1 \)
\( \mathbf{A} \cdot \frac{a}{1+x^{2}} \)
B. \( \frac{1}{1+x^{2}} \)
C \( \cdot-\frac{a}{1+x^{2}} \)
D. \( -\frac{1}{1+x^{2}} \)
| 2 |
Maths
|
Heavy water reacts with
\( \boldsymbol{C O}_{2}, \boldsymbol{S O}_{3}, \boldsymbol{P}_{2} \boldsymbol{O}_{5} \) and \( \boldsymbol{N}_{2} \boldsymbol{O}_{5} \)
respectively, to give the compounds:
A. \( D_{2} C O_{3}, D_{2} S O_{4}, D_{3} P O_{2} \) and \( D N O_{2} \)
в. \( D_{2} C O_{3}, D_{2} S O_{4}, D_{3} P O_{4} \) and \( D N O_{2} \)
c. \( D_{2} C O_{3}, D_{2} S O_{3}, D_{3} P O_{4} \) and \( D N O_{2} \)
D. \( D_{2} C O_{3}, D_{2} S O_{4}, D_{3} P O_{4} \) and \( D N O_{3} \)
| 1 |
Chemistry
|
Photosynthesis occurs in the
A . Root
B. Stem
c. Leaf.
D. Fruit
| 0 |
Biology
|
n the given figure, the value of \( x \text { (in } c m) \)
is :
4
B.
\( c \)
\( D \)
| 2 |
Maths
|
When mercuric iodide is added to an
aqueous solution of \( K I \) then:
A. boiling point increase
B. boiling point decrease
c. freezing point increase
D. osmotic pressure increase
| 1 |
Chemistry
|
A surface has work function \( 3.3 e V \)
Which of the following will cause
emission?
A. \( 100 W \) incandascent lamp
B. 40 \( W \) flouroscent lamp
c. \( 20 W \) sodium lamp
D. 20 \( W \) Hg lamp
| 3 |
Physics
|
Among \( K O_{2}, A l O_{2}^{-}, B a O_{2} a n d N O_{2}^{+} \)
unpaired electron is present in:
A. \( N O_{2}^{+} \) and \( B a O_{2} \)
B. \( K O_{2} \) and \( A l O_{2}^{-} \)
c. \( K O_{2} \) only
D. \( B a O_{2} \) only
| 1 |
Chemistry
|
An aquarium is in the form of a cuboid whose external measures are \( 80 \mathrm{cm} \times \)
\( 30 c m \times 40 c m . \) The base side faces and
back face are to be covered with a
coloured paper. Find the area of the paper needed?
A. \( 3000 \mathrm{cm}^{2} \)
B . \( 5000 \mathrm{cm}^{2} \)
c. \( 8000 \mathrm{cm}^{2} \)
D. \( 7000 \mathrm{cm}^{2} \)
| 2 |
Maths
|
The oxidation state of oxygen of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) in the final products when it reacts with \( C l O_{3}^{\ominus} \) is :
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot-1 \)
D. - -
| 1 |
Chemistry
|
In the fig; we have \( X \) and \( Y \) are the mid-
points of \( A C \) and \( B C \) and \( A X=C Y \)
then
This question has multiple correct options
A. \( A C=B C \)
B. \( A B=B C \)
\( \mathbf{c} . A C=A B \)
\( \mathbf{D} \cdot C X=C Y \)
| 2 |
Maths
|
Pyramid of numbers in a pond
ecosystem is
A. I rregular
B. Inverted
c. upright
D. Spindle shaped
| 0 |
Biology
|
Assertion
Forest influences local air circulation
and may thus retain solid suspensions and gaseous elements.
Reason
Forests control the wind velocity and air
flows.
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
| 0 |
Biology
|
The rotational movement in humans is
brought about by
A. Slightly moveable joint
B. Ball and socket joint
c. Pivot joint
D. Plane joint
E. Both B and C
| 0 |
Biology
|
The pure form of carbon is found in :
A . jute
B. diamond
c. methane gas
D. All of the above
| 1 |
Chemistry
|
Two conducting plates \( A \) and \( B \) are
parallel. A is given a charge \( Q_{1} \) and \( B \) is
given a charge \( Q_{2} \). The charge on inner
side of B is :
\( A \)
\[
\frac{Q_{2}-Q_{1}}{2}
\]
в.
\[
\frac{\left(Q_{1}-Q_{2}\right)}{2}
\]
\( c \)
\[
\frac{\left(Q_{1}+Q_{2}\right)}{2}
\]
\( D \)
\[
\frac{-\left(Q_{1}+Q_{2}\right)}{2}
\]
| 3 |
Physics
|
Electrons of energies \( 10.20 e V \) and \( 12.09 e V \) can cause radiation to be
emitted from hydrogen atoms. Calculate, in each case, the principal quantum of the orbit to which electron in the hydrogen atom is raised and the
wavelength of the radiation emitted if it
drops back to the ground state. Find the sum of these numbers.
| 3 |
Physics
|
Draw a rough sketch of the curve \( y^{2}= \)
\( 4 x \) and find the area of the region
enclosed by the curve and the line \( y=x \)
| 2 |
Maths
|
The question is refer to image.
8
| 2 |
Maths
|
Assertion
The average mass of one Mg atom is
24.305 amu, which is not equal to the actual mass of one Mg atom.
Reason Three isotopes, \( ^{24} M g,^{25} M g \) and \( ^{26} M g \) of Mg can be found 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. Assertion is incorrect but Reason is correct
| 3 |
Physics
|
(a) \( \boldsymbol{H}_{2} \boldsymbol{O}_{2}+\boldsymbol{O}_{3} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}+\mathbf{2} \boldsymbol{O}_{2} \)
(b) \( \boldsymbol{H}_{2} \boldsymbol{O}_{2}+\boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{O} \rightarrow \boldsymbol{2} \boldsymbol{A} \boldsymbol{g}+\boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{O}_{2} \)
Role of hydrogen peroxide in the above reactions is respectively:
A. Oxidizing in (a) and reducing in (b)
B. Reducing in (a) and oxidizing in (b)
c. Reducing in (a) and (b)
D. Oxidizing in (a) and (b)
| 1 |
Chemistry
|
\( A \) box \( B_{1} \) contains 1 white ball, 3 red
balls and 2 black balls. Another box \( B_{2} \)
contains 2 white balls, 3 red balls and 4
black balls. A third box \( B_{3} \) contains 3
white balls, 4 red balls and 5 black balls If 2 balls are drawn (without replacement) from a randomly selected box and one of the balls is white and the other ball is red, the probability that
these 2 balls are drawn from box \( B_{2} \) is
A \( \cdot \frac{116}{181} \)
в. \( \frac{126}{181} \)
c. \( \frac{65}{181} \)
D. \( \frac{55}{181} \)
| 2 |
Maths
|
The ends of a coil are connected to a
galvanometer. When current suddenly I starts flowing in a neighbouring circuit, the instantneous deflection in the
galvanometer is \( +7^{\circ} . \) If now the coil be
quickly rotate through \( 180^{\circ}, \) what will be the maximum deflection in the
galvanometer?
A \( \cdot 7^{\circ} \)
B. \( 14^{\circ} \)
\( c \cdot 21^{0} \)
\( D \cdot 28^{\circ} \)
| 3 |
Physics
|
Evaluate \( \int_{-\sqrt{2}}^{2 \pi} \frac{2 x^{7}+3 x^{6}-10 x^{5}-7 x^{3}-12 x^{2}+}{x^{2}+2} \)
\( ^{\mathrm{A}} \cdot \frac{\pi}{2 \sqrt{2}}+\frac{16 \sqrt{2}}{5} \)
B. \( \frac{\pi}{4 \sqrt{2}}-\frac{8 \sqrt{2}}{5} \)
c. \( \frac{\pi}{4 \sqrt{2}}+\frac{8 \sqrt{2}}{5} \)
D. \( \frac{\pi}{2 \sqrt{2}}-\frac{16 \sqrt{2}}{5} \)
| 2 |
Maths
|
When a number is added to another number, the total becomes \( 333 \frac{1}{3} \) percent of the second number. What is the ratio between the first number and second number?
A. 3: 7
в. 7: 4
c. 7: 3
D. 4: 7
| 2 |
Maths
|
Assertion
In the following reaction,
\( \boldsymbol{S O}_{2}+\boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{S} \longrightarrow \boldsymbol{3} \boldsymbol{S}+\boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{O} \)
1 mole \( S O_{2} \) and 1 mole \( H_{2} S \) forms 3
moles sulphur.
Reason
1 mole \( S O_{2} \) and 2 mole \( H_{2} S \) form 3
moles sulphur and 2 moles \( H_{2} O \)
A. Both Assertion and Reason are are true and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation for Assertion
C. Assertion is true but Reason is false
D. Assertion is false but Reason is true
| 1 |
Chemistry
|
A neutral oxide which is slightly heavier than air and slightly soluble in water is:
\( A \cdot S O_{2} \)
в. \( O_{2} \)
c. \( N a_{2} \) Q
D. \( F e_{2} O_{3} . x H_{2} O \)
| 1 |
Chemistry
|
A catapult with a basket of mass \( 50 \mathrm{kg} \) launches a \( 200 \mathrm{kg} \) rock by swinging around from a horizontal to a
vertical position with an angular velocity of 2.0 rad/s. Assuming the rest of the catapult is massless and the catapult arm is \( 10 \mathrm{m} \) long, what is the velocity of the rock as it leaves the catapult?
\( A \cdot 10 \mathrm{m} / \mathrm{s} \)
B. 20 \( \mathrm{m} / \mathrm{s} \)
\( c \cdot 25 m / s \)
D. \( 50 \mathrm{m} / \mathrm{s} \)
E. \( 100 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
Find mode for given data:
\( \begin{array}{llll}\text { Class } & 20- & 30- & 40- \\ 29 & 39 & 49\end{array} \)
3. 20 Frequency 15
| 2 |
Maths
|
Write three methods of preventing rusting of iron.
| 1 |
Chemistry
|
Why does HF has the maximum boiling point amongst all hydrogen halides?
A. Due to hydrogen bonding
B. Due to Vander Waal's forces
c. Due to minimum molecular mass
D. None of these
| 1 |
Chemistry
|
\( f\left|\begin{array}{ccc}\mathbf{6} i & -\mathbf{3} i & \mathbf{1} \\ \mathbf{4} & \mathbf{3} i & -\mathbf{1} \\ \mathbf{2 0} & \mathbf{3} & \boldsymbol{i}\end{array}\right|=\boldsymbol{x}+\boldsymbol{i} \boldsymbol{y}, \) then
A \( . x=3, y=0 \)
B. \( x=1, y=3 \)
c. \( x=0, y=3 \)
D. \( x=0, y=0 \)
| 2 |
Maths
|
Number of moles of \( \boldsymbol{K}_{2} \boldsymbol{C r}_{2} \boldsymbol{O}_{7} \) reduced
by one mole of \( S n^{2+} \) ions is :
A \( \cdot \frac{1}{3} \)
B. 3
\( c \cdot \frac{1}{6} \)
D. 6
| 1 |
Chemistry
|
Which one of the following group of taxa does not represent similar category in hierarchy?
A. Potato and tomato
c. Monocots and angiosperms
D. Wheat and mango
| 0 |
Biology
|
Find the area of parallelogram in which base is \( 2.5 \mathrm{cm}, \) and altitude is \( 1.4 \mathrm{cm} \)
| 2 |
Maths
|
\( P b\left(I O_{3}\right)_{2} \) is a springly soluble salt
\( \left(K_{s p}=2.6 \times 10^{-13}\right) . \) To \( 35 \mathrm{mL} \) of \( 0.15 \mathrm{M} \)
\( P b\left(N O_{3}\right)_{2} \) solution, \( 15 \mathrm{mL} \) of \( 0.8 \mathrm{M} \)
\( K I O_{3} \) solution is added, and a
precipitate of \( \boldsymbol{P b}\left(\boldsymbol{I} \boldsymbol{O}_{3}\right)_{2} \) is formed
What will be the molarity of \( I O_{3}^{\Theta} \) ions in the solution after completion of the
reaction?
A. 0.152
B. 0.081
c. 0.4
D. 0.03
| 1 |
Chemistry
|
The elements of \( \boldsymbol{A} \cap \boldsymbol{B}^{\prime} \) are:
| 2 |
Maths
|
Two sounds can differ only by the difference in their loudness.
A. True
B. False
| 3 |
Physics
|
The gravitational potential is a
A. scalar
B. vector
C. scalar based on the mass of the particle
D. scalar or vector depending on the situation
| 3 |
Physics
|
The points (0,4) and (0,2) are
respectively the vertex and focus of a parabola. Then find the equation of the parabola.
| 2 |
Maths
|
Vapour pressure of \( C C l_{4} \) at \( 25^{\circ} \mathrm{C} \) is 143
\( \mathrm{mm} \) of Hg. \( 0.5 \mathrm{g} \) of a non-volatile solute (mol. Mass \( =\mathbf{6 5} \) ) is dissolved in \( 100 \mathrm{mL} \)
\( \boldsymbol{C C l}_{4} . \) Find the vapour pressure of the
solution: (Density of \( \boldsymbol{C} \boldsymbol{C l}_{4}= \)
\( 1.58 g / c m^{3} \)
\( \mathbf{A} \cdot 141.93 \mathrm{mm} \)
B. \( 94.39 \mathrm{mm} \)
c. \( 199.34 \mathrm{mm} \)
D. \( 143.99 \mathrm{mm} \)
| 1 |
Chemistry
|
The ratio of electric force between two
electrons to that between two protons
separated by the same distance in air is
A \( \cdot 10^{\circ} \)
B. \( 10^{6} \)
\( c \cdot 10^{4} \)
D. None of the above
| 3 |
Physics
|
Which of the following is true regarding atoms according to Rutherford's gold foil experiment?
A. Are mostly space
B. Are in continuous motion
c. Have negative orbitals
D. Have diffuse charge distribution
E. Have dense crystalline structure
| 3 |
Physics
|
\( \mathbf{I f A}=\left\{\begin{array}{ccc}\mathbf{2} & \boldsymbol{x}-\mathbf{3} & \boldsymbol{x}-\mathbf{2} \\ \mathbf{3} & \mathbf{- 2} & \mathbf{- 1} \\ \mathbf{4} & \mathbf{- 1} & \mathbf{- 5}\end{array}\right\} \) is a
symmetric matrix then
\( A \cdot 0 \)
B. 3
\( c .6 \)
\( D \)
| 2 |
Maths
|
A longer conducting cylinder carrying a
charge \( +q \) is surrounded by a
conducting cylindrical shell having
charge \( -2 q . \) The charge on the inner
and outer side of conducting shell is:
\( \mathbf{A} \cdot q,-q \)
B. \( -q,-3 q \)
\( \mathbf{c} .-q,+3 q \)
\( \mathbf{D} \cdot-q,-q \)
| 3 |
Physics
|
How aquatic animals survive is cold
countries when temperature fall below
\( \mathbf{0}^{\circ} \mathbf{C} ? \)
| 1 |
Chemistry
|
The Marina trench is located in the
Pacific Ocean, and at one place it is nearly eleven km beneath the surface of
water. The water pressure at the bottom
of the trench is about \( 1.1 \times 10^{8} \) Pa.
steel ball of initial volume \( 0.32 m^{3} \) is
dropped into the ocean and falls to the bottom of the trench. What is the
change in the volume of the ball when it reaches to the bottom?
| 3 |
Physics
|
A stone is projected vertically up to
reach maximum height ' \( h^{\prime} . \) The ratio of
its kinetic energy to potential energy, at a height \( \frac{4 h}{5} \) will be:
A . 5: 4
в. 4: 5
\( c \cdot 1: 4 \)
D. 4: 1
| 3 |
Physics
|
2 grams of monoatomic gas occupies a volume of 2 litres at a pressure of \( 8.3 \times \) \( 10^{5} P a \) and \( 127^{0} \mathrm{C} \). Find the molecular
weight of the gas. (R=8.3 joule/mole/K)
A. 2 gram/mole
B. 16 gram/mole
c. 4 gram/mole
D. 32 gram/mole
| 3 |
Physics
|
The decreasing order of bond dissociation energies of \( \boldsymbol{C}-\boldsymbol{C}, \boldsymbol{C}-\boldsymbol{H} \)
and \( H-H \) bonds is:
A. \( H-H>C-H>C-C \)
в. \( C-C>C-H>H-H \)
c. \( C-H->C-C>H-H \)
D. \( C-C>H-H>C-H \)
| 1 |
Chemistry
|
Give the two-two examples of the living being performing asexual and sexual reproduction.
| 0 |
Biology
|
The \( p H \) of blood is maintained by \( C O_{2} \)
and \( H_{2} C O_{3} \) in the body and chemical constituents of blood. This phenomenon is called:
A. colloidal
B. buffer action
c. acidity
D. salt balance
| 1 |
Chemistry
|
Assertion
The magnetic poles of earth do not coincide with the geographic poles.
Reason
The discrepancy between the orientation of a compass and true north-south direction is known as
magnetic declination.
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
| 3 |
Physics
|
A uniform disc of radius \( R \) is put over
another uniform disc of radius \( 2 R \) of
the same thickness and density. The peripheries of the two discs touch each other. Locate the centre of mass of
the system from the centre of large disc
| 3 |
Physics
|
The diagram below shows a cathode ray
tube in which the arrow indicates a
beam of charged particles approaching an electric field between the plates \( A \)
and B. State the amount of charge on each particle.
A \( \cdot 1.6 \times 10^{-19} \mathrm{C} \)
в. \( -1.6 \times 10^{-19} \mathrm{C} \)
\( c \)
D. \( -1.16 \times 10^{-19} C \)
| 3 |
Physics
|
Given that \( i z^{2}=1+\frac{2}{z}+\frac{3}{z^{2}}+\frac{4}{z^{3}}+\frac{5}{z^{4}}+ \)
\( \ldots . \) and \( z=n \pm \sqrt{-i}, \) find \( \lfloor 100 n\rfloor \)
| 2 |
Maths
|
E.A.N. of \( \left[\boldsymbol{F e}\left(\boldsymbol{\eta}^{\boldsymbol{5}}-\boldsymbol{C}_{\boldsymbol{5}} \boldsymbol{H}_{\boldsymbol{5}}\right)(\boldsymbol{C O})_{2} \boldsymbol{C l}\right] \)
A . 36
B. 35
c. 37
D. 34
| 1 |
Chemistry
|
A projectile is fired with a speed \( u \) at an angle \( \theta \) with horizontal. Its speed when
its direction of motion makes an angle
\( \alpha^{\prime} \) with the horizontal is
A . u \( \sec \theta \cos \alpha \)
B. u \( \sec \theta \sin \alpha \)
\( c \cdot u \cos \theta \sec \alpha \)
D. u \( \sin \theta \sec \alpha \)
| 3 |
Physics
|
What will be the path of a charged
particle moving along the direction of a uniform magnetic field?
| 3 |
Physics
|
Number of lines is space which are equally inclined to three co-ordinate
axes are?
A .2
B. 4
\( c .6 \)
D. 8
| 2 |
Maths
|
The capacitance \( C_{A B} \) in the given network
is:
\( \mathbf{A} \cdot 7 \mu F \)
B. \( \frac{50}{7} \mu F \)
\( \mathbf{c} .7 .5 \mu F \)
D. \( \frac{7}{50} \mu F \)
| 3 |
Physics
|
Nylon threads are made of
A. polyethylene polyemer
B. polyvinyl polymer
C . polyester polymer
D. polyamide polymer
| 1 |
Chemistry
|
Summarise the rules for writing of
distribution of electrons in various
shells for the first eighteen elements.
| 1 |
Chemistry
|
A liquid does not wet the surface of a solid if the angle of contact is
A. zero
B. An acute one
\( c \cdot 45^{\circ} \)
D. An obtuse one
| 3 |
Physics
|
A liquid \( P \) if specific heat capacity
\( 2400 J k g^{-1} K^{-1} \) and \( a t 70^{\circ} C \) is mixed
with another liquid \( \mathrm{R} \) of specific heat capacity \( 1000 J k g^{-1} K^{-1} \) at \( 30^{\circ} C . \) After mixing, the final temperature of the
mixture is \( 40^{\circ} \mathrm{C} \). Find the ratio of the
mass of the liquids mixed?
A .4: 5
B. 8: 5
\( c \cdot 40: 5 \)
D. 48 : 5
| 3 |
Physics
|
Two charges \( 2 \mu C \) and \( -2 \mu C \) are placed
at points \( A \) and \( B 6 \mathrm{cm} \) apart.
(a) Identify an equipotential surface of the system.
(b) What is the direction of the electric field at every point on this surface?
| 3 |
Physics
|
In which of the following class of Reptilia, the skull posses a solid roof?
A. Anapsida
B. Diapsida
c. Parapsida
D. synapsida
E. Both c and
| 0 |
Biology
|
How is chlorine manufactured by
Deacon's method?
| 1 |
Chemistry
|
What is activated sludge?
| 0 |
Biology
|
If the d.c's of a line are \( \left(\frac{1}{c}, \frac{1}{c}, \frac{1}{c}\right), \) find \( c . \)
| 2 |
Maths
|
A soap bubble of radius R has been
formed at normal temperature and pressure under isothermal conditions.
Compute the work done. The surface
tension of soap solution is \( \mathrm{T} \).
| 3 |
Physics
|
Four consecutive terms of a progression are \( 38,30,24,20 . \) The next term of the
progression is
\( A \cdot 18 \)
B \( \cdot 17 \frac{1}{7} \)
\( c \cdot 16 \)
D. none of these
| 2 |
Maths
|
An organic compound contains a
functional group, multiple bonds, and a side chain then what will be the order of
preference?
A. Double bond \( > \) Triple bond \( > \) Side chain \( > \) Functional group
B. Functional group > Double bond > Triple bond > Side chain
c. Triple bond > side chain > Double bond > Functional group
D. Functional group > Triple bond > Double bond > Side chain
| 1 |
Chemistry
|
Use of \( _{--}-_{-}-_{-}- \) helps in water purification.
A. Sodium
B. Alum
c. chlorine
D. Both B and C
| 0 |
Biology
|
If there are \( N \) nuclear particles in a
nucleus of radius \( R \) then the number of
nuclear particles in radius \( 3 R \) will be
A . \( N \)
в. \( 2 N \)
c. \( 27 N \)
D. \( \frac{21}{3} N \)
| 3 |
Physics
|
Which of the following is logically equivalent to \( \sim(\sim p \Rightarrow q) ? \)
A \( \cdot p \wedge q \)
В . \( p \wedge \sim q \)
\( \mathrm{c} \cdot \sim p \wedge q \)
D \( . \sim p \wedge \sim q \)
| 2 |
Maths
|
Which of the following compound is responsible for catching fire spontaneously in Holme's singal?
\( \mathbf{A} \cdot P_{2} H_{4} \)
в. \( P H_{3} \)
\( \mathbf{c} \cdot C_{2} H_{4} \)
D. All of these
| 1 |
Chemistry
|
Which lens has the greater in the focal
plane of which lens?
| 3 |
Physics
|
If the general solution of some
differential equation is \( \boldsymbol{y}=\boldsymbol{a}_{1}\left(\boldsymbol{a}_{2}+\right. \)
\( \left.\boldsymbol{a}_{3}\right) \cdot \cos \left(\boldsymbol{x}+\boldsymbol{a}_{4}\right)-\boldsymbol{a}_{5} \boldsymbol{e}^{x+\boldsymbol{a}_{6}} \quad \) then order
of differential equation is
\( \mathbf{A} \cdot \mathbf{6} \)
B. 5
\( c \cdot 4 \)
D. 3
| 2 |
Maths
|
Write any one solution of equation \( \boldsymbol{x}+ \)
\( 2 y=7 \)
| 2 |
Maths
|
State whether the given statement is true or false:
\( \Delta H_{f}^{\circ}(\mathrm{C}, \text { diamond }) \neq 0 \)
A. True
B. False
| 1 |
Chemistry
|
If you touch your ear with right hand in front of a plane mirror it will be seen in the mirror that your right ear is touched with hand.
A. right, left
B. left, left
c. right, right
D. left, right
| 3 |
Physics
|
At constant temperature when pressure of gas decreased by \( 50 \% \) than since percentage change in volume.
| 1 |
Chemistry
|
The function of leghemoglobin in the root nodules of legumes is
A. Oxygen removal
B. Inhibition of nitrogenase activity
c. Expression of nif gene
D. Nodule differentiation
| 0 |
Biology
|
Which has the same electronic
configuration as of inert gas?
A \( \cdot \mathrm{Ag}^{3} \)
B. \( \mathrm{Cu}^{2} \)
\( c \cdot P b^{4} \)
D. \( \mathrm{Ti}^{4} \)
| 1 |
Chemistry
|
Write the balanced Chemical equation with condition involved in manufacture
of nitric acid by ostwald's process.
| 1 |
Chemistry
|
Name the sound producing organ of human being?
| 0 |
Biology
|
What is the volume in cubic cm of a
pyramid whose area of the base is
25 sq cm height \( 9 c m ? \)
A \( \cdot 75 \mathrm{cm}^{3} \)
B. \( 70 \mathrm{cm}^{3} \)
\( \mathrm{c} \cdot 100 \mathrm{cm}^{3} \)
D. None of these
| 2 |
Maths
|
The carbohydrate used as storage
molecule in animal is:
A. sucrose
B. glycogen
c. maltose
D. glucose
E. fructose
| 1 |
Chemistry
|
A true breeding plant producing red flowers is crossed with a pure plant producing white flowers. Allele for red colour of flower is dominant. After
selfing the plants of first filial generation, the proportion of plants producing white flowers in the progeny would be
\( A \cdot \frac{3}{4} \)
B.
\( c \cdot \frac{1}{3} \)
\( D \)
| 0 |
Biology
|
For the galvanic cell pictured below, determine the electrochemical
potential for the system at \( 25^{\circ} \mathrm{C} \)
Note: \( \boldsymbol{C u}_{(a q)}^{2+}+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \boldsymbol{C u}_{(s)} \boldsymbol{E}^{\circ}= \)
\( \mathbf{0 . 3 3 7} \mathbf{V} \)
\( Z n_{(a q)}^{2+}+2 e^{-} \rightarrow Z n_{(s)} E^{\circ}=-0.763 V \)
A. \( -0.426 V \)
В. \( -1.10 v \)
\( \mathbf{c} .+0.426 V \)
D. \( +1.10 v \)
| 1 |
Chemistry
|
Two types of nucleic acids are DNA and
A. RNA
B. chromosome
c. Ribosome
D. mRNA
| 0 |
Biology
|
What is the atomic number of the
element with \( M^{2+} \) ion having electronic
configuration \( [\boldsymbol{A} \boldsymbol{r}] \boldsymbol{3} \boldsymbol{d}^{8} ? \)
A . 25
B . 28
c. 27
D. 26
| 1 |
Chemistry
|
A man is going in a topless car with a velocity of \( 10.8 k m / h . \) It is raining vertically downwards. He has to hold the
umbrella at an angle of \( 53^{\circ} \) to the vertical to protect himself from rain. The
actual speed of the rain is \( \left(\cos 53^{\circ}=\right. \) \( \left.\frac{3}{5}\right) \)
A \( .2 .25 \mathrm{ms}^{-1} \)
B. \( 3.75 \mathrm{ms}^{-1} \)
c. \( 0.75 \mathrm{ms}^{-1} \)
D. \( 2.75 \mathrm{ms}^{-1} \)
| 3 |
Physics
|
Find the average weight using direct
method.
\( \mathbf{A} \cdot 81.15 k g \)
B. \( 82.50 k g \)
\( \mathbf{c} .86 .26 \mathrm{kg} \)
D. \( 80.21 k g \)
| 2 |
Maths
|
has the highest boiling
point.
A. \( 0.2 \mathrm{m} \mathrm{CaCl}_{2} \)
B. 0.2 \( \mathrm{m} \) NaCl
c. \( 0.1 \mathrm{m} \) Al \( C l_{3} \)
D. \( 0.2 \mathrm{m} \mathrm{CH}_{3} \mathrm{OH} \)
E. \( 0.2 \mathrm{m} \mathrm{NaC}_{2} \mathrm{H}_{3} \mathrm{O}_{2} \)
| 1 |
Chemistry
|
Assertion
Incoming light reflected by earth is
partially polarized.
Reason
Atmospheric particle polarize the light.
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
| 3 |
Physics
|
DNA is a polymer of nucleotides which
are linked to each other by \( 3-5 \) phosphodiester bond. To prevent polymerisation of nucleotides, which of the following modifications would you choose?
A. Replace purines with pyrimidines.
B. Remove/Replace 3 OH group in deoxyribose.
c. Remove/Replace 2 OH group with some other group in deoxyribose.
D. Both (b) and (c)
| 0 |
Biology
|
A series of concentric ellipses
\( \epsilon_{1}, \epsilon_{2}, \epsilon_{3}, \cdots \in_{n} \) are drawn such that \( \epsilon_{n} \)
touches the extremities of the major
axis of \( \epsilon_{n-1} \) and the focii of \( \epsilon_{n} \) coincides
with the extremities of the minor axis of
\( \epsilon_{n-1} \) if the \( e \) of the ellipse is independent on \( n, \) then the value of \( e ? \)
| 2 |
Maths
|
How many \( 2^{\circ} \) Hydrogen atoms are
present in the given following
compound?
A .2
B. 5
\( c \)
\( D \)
| 1 |
Chemistry
|
If \( f(x)=\frac{1}{1-x}, x \neq 0,1 \) then the graph
of the function \( \boldsymbol{y}=\boldsymbol{f}\{\boldsymbol{f}(\boldsymbol{f}(\boldsymbol{x}))\}, \boldsymbol{x}>1 \)
is
A . a circle
B. an ellipse
c. a straight line
D. a pair of straight lines
| 2 |
Maths
|
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