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There is a planet name 'ALLEN' which has radius three times that of the earth
and density two times that of the earth. The acceleration due to gravity on 'ALLEN' will be
A \( \cdot \frac{1}{9} \) times that of earth's gravity
B. \( \frac{2}{9} \) times that of earth's gravity
c. 6 times that of earth's gravity.
D. 3 times that of earth's gravity
| 3 |
Physics
|
In metallurgy, the concentration of ore
is followed by the dressing of ore.
A. True
B. False
| 1 |
Chemistry
|
Adam's apple is easily observed in
A. Boys
B. Girlss
c. Both boys and girls
D. None of the above
| 0 |
Biology
|
\( \frac{\boldsymbol{C}_{\mathbf{0}}}{\mathbf{1}}+\frac{\boldsymbol{C}_{\mathbf{1}}}{\mathbf{2}}+\frac{\boldsymbol{C}_{\mathbf{2}}}{\mathbf{3}}+\ldots \ldots \ldots+\frac{\boldsymbol{C}_{\mathbf{1 0 0}}}{\mathbf{1 0 1}} \) equals
A \( \cdot \underline{\underline{2}^{101}} \)
101
B. \( \frac{2^{101}-1}{101} \)
c. \( \frac{3^{101}}{101} \)
D. \( \frac{3^{101}-1}{101} \)
| 2 |
Maths
|
The enzyme which converts glucose to ethyl alcohol is :
A. zymase
B. invertase
c. maltase
D. diastase
| 1 |
Chemistry
|
Recognise the figure and find out the
correct matching.
A. A-Primary structure, B-Secondary structure
B. A-Secondary structure, B-Primary structure
C. A-Secondary structure, B-Tertiary structure
D. A-Tertiary structure, B-Quaternary structure
| 1 |
Chemistry
|
Sound travels the fastest in which of the
following mediums?
A. water
B. steel
c. Air
D. Kerosene oil
| 3 |
Physics
|
The range of the function \( f(x)= \)
\( \sin ^{-1}\left(\log _{2}\left(-x^{2}+2 x+3\right)\right) \) is
A. \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \)
B. \( \left[-\frac{\pi}{2}, 0\right] \)
c. \( \left[0, \frac{\pi}{2}\right] \)
D. [-1,1]
| 2 |
Maths
|
\( f\left(\mu_{s}, \mu_{k}, \mu_{r} \) are coefficients of static \right.
friction, sliding friction and rolling friction then
A \( \cdot \mu_{s}<\mu_{k}<\mu_{r} \)
B . \( \mu_{k}<\mu_{r}<\mu_{s} \)
c. \( \mu_{r}<\mu_{k}<\mu_{s} \)
D. \( \mu_{r}=\mu_{k}=\mu_{s} \)
| 3 |
Physics
|
Which of the following reactions proceed in forward direction with an
increase in temperature?
\( \mathbf{A} \cdot H_{2}(g)+I_{2}(g) \rightleftharpoons 2 H I(g)+3000 c a l \)
B \( \cdot N_{2}(g)+O_{2}(g) \rightleftharpoons 2 N O(g)-43200 c a l \)
\( \mathbf{c} \cdot N_{2}(g)+3 H_{2}(g) \rightleftharpoons 2 N H_{3}(g)+22400 c a l \)
\( \mathbf{D} \cdot C(g)+O_{2}(g) \rightleftharpoons C O_{2}(g)+94300 c a l \)
| 1 |
Chemistry
|
The total flux passing through the cube
is
A \( .-0.135 N m^{2} C^{-1} \)
B . \( -0.054 N m^{2} C^{-1} \)
¿. \( 0.081 N m^{2} C^{-} \)
D. zer
| 3 |
Physics
|
Convert the ration 3: 4 into percentage.
| 2 |
Maths
|
As a group, acoelomates are
characterized by:
\( A \cdot \) a body cavity called a haemocoel
B. deuterostome development
C . a coelom that is not completely lined with mesoderm
D. a solid body without a cavity surrounding internal
organs
| 0 |
Biology
|
The value of \( b \) such that scalar product of the vector \( (\hat{i}+\hat{j}+\hat{k}) \) with the unit vector parallel to the sum of the vectors \( (2 \hat{i}+4 \hat{j}-5 \hat{k}) \) and \( (b \hat{i}+2 \hat{j}+3 \hat{k}) \) is 1
is
A . -2
B. -
\( c .0 \)
D.
| 2 |
Maths
|
If a number of little droplets of water of
surface tension \( \sigma, \) all of the same
radius \( r \) combine to form a single drop
of radius \( R \) and the energy released is
converted into kinetic energy, find the velocity acquired by the bigger drop.
| 3 |
Physics
|
In a radioactive decay, an element \( _{Z} X^{A} \) emits four \( \alpha \) -particles, three \( \beta \) -particles and eight gamma photons. The atomic number and mass number of the
resulting final nucleus are
A. \( Z-11, A-16 \)
в. \( Z-5, A-13 \)
c. \( Z-5, A-16 \)
D. \( Z-8, A-13 \)
| 3 |
Physics
|
The equation \( x-2=0 \) on number line
is represented by
\( A \). a line
B. a point
c. infinitely many lines
D. two lines
| 2 |
Maths
|
Consider two equivalent, triangular hollow prisms \( A \) and \( B \) made of thin glass plates and arranged with negligible spacing as shown in the figure. A beam of white light is incident on prism A from the left. Given that the
refractive index of water is inversely
related to temperature, the beam to the right of prism B would NOT appear white if :
A . both prisms are filled with hot water \( \left(70^{\circ} \mathrm{C}\right) \)
B. both prisms are filled with cold water \( \left(7^{\circ} \mathrm{C}\right) \)
c. both prisms are empty
D. prism A is filled with hot water ( \( 70^{\circ} \mathrm{C} \) ) and prism with cold water \( \left(7^{\circ} \mathrm{C}\right) \)
| 3 |
Physics
|
The focal lengths of the objective and the eyepiece of a compound microscope are \( 2.0 \mathrm{cm} \) and \( 3.0 \mathrm{cm}, \) respectively. The distance between the objective and the eyepiece is \( 15.0 \mathrm{cm} . \) The final image formed by the eyepiece is at infinity. The two lenses are thin. The distance, in \( c m \)
of the object and the image produced by the objective, measure from the objective lens, are respectively
A . 2.4 and 12.0
B. 2.4 and 15.0
c. 2.0 and 12.0
D. 2.0 and 3.0
| 3 |
Physics
|
Green house gas among the following is/are:
A. carbon dioxide
B. nitrogen oxides
c. methane
D. all of the above
| 1 |
Chemistry
|
Find \( A M \) of 7 and 27
| 2 |
Maths
|
A moving block having mass \( m \), collides with another stationary block having mass \( 4 m . \) The lighter block comes to
rest after collision. When the initial
velocity of the lighter block is \( v \), then the value of coefficient of restitution \( (e) \) will
be:
A . 0.5
B. 0.25
c. 0.4
D. 0.8
| 3 |
Physics
|
Draw labelled diagram of Haber process for the manufacture of ammonia and
write chemical equation?
| 1 |
Chemistry
|
Write the general valence shell electronic configuration of p-block elements.
| 1 |
Chemistry
|
A tower of height b and a flagstaff on top of tower subtend equal at a point on the ground, distant a from the base of the
tower. The height of the flagstaff is
A \( \cdot \frac{b^{2}}{a+b} \)
B. \( \frac{b(a+b)}{a-b} \)
c. \( \frac{b^{2}}{a-b} \)
D. \( b\left(\frac{a^{2}+b^{2}}{a^{2}-b^{2}}\right) \)
| 2 |
Maths
|
The formula of cassiterite is :
\( \mathbf{A} \cdot P b S o_{4} \)
B. \( S n O_{2} \)
\( \mathrm{c} \cdot P b O_{2} \)
D. None of these
| 1 |
Chemistry
|
(i) Write Hell - Volhard - Zelinsky reaction.
(ii) Write cross - aldol condensation.
(iii) Ethanoic acid is weaker acid than
benzoic acid. Why?
| 1 |
Chemistry
|
Clavicle is a constituent of
A. Pectoral girdle
B. Fore limbs
C. Hind limbs
D. Pelvic girdle
| 0 |
Biology
|
The specific heat of a gas is found to be 0.075 calories at constant volume and
its formula \( \boldsymbol{w} \boldsymbol{t} \) is \( \mathbf{4 0} . \) The atomicity of the gas would be:
A. one
B. two
c. three
D. four
| 3 |
Physics
|
When the coil and the magnet are both stationary
A. there is no deflection in the galvanometer.
B. galvanometer deflects
c. galvanometer bursts.
D. none
| 3 |
Physics
|
If \( A \) is required event and \( S \) is the
sample space, \( \boldsymbol{n}(\boldsymbol{A})=\mathbf{3}, \boldsymbol{n}(\boldsymbol{S})=\mathbf{6} \)
then find \( \boldsymbol{P}(\boldsymbol{A}) \)
| 2 |
Maths
|
If the self inductance of 500 turns coil
is \( 125 \mathrm{mH} \), then the self inductance of
the similar coil of \( 800 \mathrm{mH} \)
A. \( 48.8 \mathrm{mH} \)
B. 200 mH
c. \( 290 \mathrm{mH} \)
D. 320 mH
| 3 |
Physics
|
Solve \( \& \) graph the solution set of \( 3 x+ \)
\( 6 \geq 9 \) and \( -5 x>-15, x \in R \)
| 2 |
Maths
|
What is known as Ocean thermal
energy?
A. The Sun's heat warms the surface water a lot more
than the deep ocean water which creates ocean's naturally available temperature gradient
B. The Moon's heat warms the surface water a lot more
than the deep ocean water which creates ocean's naturally available temperature gradient.
C. The Solar cell's heat warms the surface water a lot more than the deep ocean water which creates ocean's naturally available temperature gradient.
D. None
| 3 |
Physics
|
Three bodies a ring \( (R), \) a solid cylinder
\( (C) \) and a solid sphere \( (S) \) having same
mass and same radius roll down the
inclined plane without slipping. They
start from rest, if \( v_{R}, v_{C} \) and \( v_{S} \) are
velocities of respective bodies on reaching the bottom of the plane, then:
A \( \cdot v_{R}=v_{C}=v_{S} \)
в. \( v_{R}>v_{C}>v_{S} \)
c. \( v_{R}<v_{C}<v_{S} \)
D. \( v_{R}=v_{C}>v_{S} \)
| 3 |
Physics
|
Bond energy of different halogen molecules will lie in the sequence
\( \boldsymbol{C l}_{2}>\boldsymbol{B r}_{2}>\boldsymbol{F}_{2}>\boldsymbol{I}_{2} \)
A. True
B. False
| 1 |
Chemistry
|
What is order of reaction? Write unit of
rate constant \( K \) for the zero order, first
order and second order reaction.
| 1 |
Chemistry
|
If \( e^{y}(x+1)=1 \) show that \( \frac{d y}{d x}=-e^{y} \)
| 2 |
Maths
|
Consider two events \( A, B \) of an
zperiment satisfying \( \boldsymbol{P}(\boldsymbol{A} \cup \overline{\boldsymbol{B}})=\frac{\mathbf{3}}{\boldsymbol{4}} \boldsymbol{\&} \)
\( P(B)=\frac{1}{2}, \) then \( P\left(\frac{A}{B}\right) \) is equal to
A \( \cdot \frac{1}{3} \)
B. \( \frac{1}{4} \)
\( c \cdot \frac{1}{2} \)
D.
| 2 |
Maths
|
Let \( A \) be a \( 3 \times 3 \) matrix such that
\[
\boldsymbol{A} \times\left[\begin{array}{lll}
\mathbf{1} & \mathbf{2} & \mathbf{3} \\
\mathbf{0} & \mathbf{2} & \mathbf{3} \\
\mathbf{0} & \mathbf{1} & \mathbf{1}
\end{array}\right]=\left[\begin{array}{lll}
\mathbf{0} & \mathbf{0} & \mathbf{1} \\
\mathbf{1} & \mathbf{0} & \mathbf{0} \\
\mathbf{0} & \mathbf{1} & \mathbf{0}
\end{array}\right]
\]
Then \( \boldsymbol{A}^{-1} \) is :
A.
\[
\left[\begin{array}{lll}
3 & 2 & 1 \\
3 & 2 & 0 \\
1 & 1 & 0
\end{array}\right]
\]
B.
\[
\left[\begin{array}{lll}
0 & 1 & 3 \\
0 & 2 & 3 \\
1 & 1 & 1
\end{array}\right]
\]
c.
\[
\left[\begin{array}{lll}
3 & 1 & 2 \\
3 & 0 & 2 \\
1 & 0 & 1
\end{array}\right]
\]
D.
\[
\left[\begin{array}{lll}
1 & 2 & 3 \\
0 & 1 & 1 \\
0 & 2 & 3
\end{array}\right]
\]
| 2 |
Maths
|
A wood \( 1 \mathrm{cm} \) thick required to make a box of dimensions \( 24 c m \times 22 c m \times \)
\( 17 \mathrm{cm}, \) is
A \( \cdot 2276 \mathrm{cm}^{3} \)
B . \( 2500 \mathrm{cm}^{3} \)
c. \( 2600 c m^{3} \)
D. \( 2376 c m^{3} \)
| 2 |
Maths
|
Two components in the ratio of \( x: y \)
form an azeotropic mixture. They are
mixed in the ratio of \( x: 2 y, \) how many
moles one of the pure component \( \boldsymbol{y} \) will be evaporated before getting azeotropic
solution?
| 1 |
Chemistry
|
State whether given statement is True or False
Glass is a good insulator.
A. True
B. False
| 3 |
Physics
|
Optoelectronic devices work on:
A . light
B. electrical current
c. both \( A \) and \( B \)
D. none of the above
| 3 |
Physics
|
Assertion
Two bodies at different temperatures, if brought in thermal contact do not necessarily settle to the mean temperature.
Reason
The two bodies may have different thermal capacities.
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
|
What is Emulsion?
| 1 |
Chemistry
|
Draw a sketch that shows the standing
waves pattern.
| 3 |
Physics
|
In figure, there is a conducting ring having resistance \( R \) placed in the plane
of paper in a uniform magnetic field \( B_{0} \) If the ring is rotating in the plane of paper about an axis passing through
point \( \boldsymbol{O} \) and perpendicular to the plane
of paper with constant angular speed \( \omega \) in clockwise direction, then
A. point \( O \) will be at higher potential than \( A \)
B. the potential of point \( B \) and \( C \) will different
c. the current in the ring will be zero
D. the current in the ring will be \( 2 B_{0} \omega r^{2} / R \)
E. answer required
| 3 |
Physics
|
In hydrogen atomic spectrum, a series limit is found at \( 12186.3 \mathrm{cm}^{-1} \). Then it
belongs to :
A. Lyman series
B. Balmer series
c. Paschen series
D. Brackett series
| 1 |
Chemistry
|
The best solution to combat greenhouse
effect is
A. To use diesel vehicles
B. To stop infra-red from entering the earth
C. Afforestation and growing abundant plants
D. All of the above
| 0 |
Biology
|
A bulb of unknown volume V contains a
gas at 1 atm pressure. This bulb was
connected to another evacuated bulb of
volume \( 0.5 \mathrm{L} \) through a stop cock. When the stop cock was opened, the pressure
at each bulb becomes \( 7.58 \times 10^{4} \) Pa
mm while the temperature remained constant. Calculate V in litres.
| 1 |
Chemistry
|
Assertion
In Rutherford's gold foil experiment, very
few \( \alpha \) -particles are deflected back.
Reason
Nucleus present inside the atom is heavy.
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
|
The number of rational numbers \( \frac{\boldsymbol{p}}{\boldsymbol{q}} \)
where \( \boldsymbol{p}, \boldsymbol{q} \in \mathbf{1}, \mathbf{2}, \mathbf{3}, \mathbf{4}, \mathbf{5}, \mathbf{6} \) is
A . 23
B. 32
\( c \cdot 36 \)
D. 63
| 2 |
Maths
|
If the two angles of a triangle are unequal, then the smaller angle has the
side opposite to it.
A. Smaller
B. Larger
C. May be smaller may be larger
D. The side will be equal to one of the opposite sides
| 2 |
Maths
|
Short / Long Answer Types:
What is the relationship between the
Krebs cycle and electron transport chain?
| 0 |
Biology
|
The fusion of light elements take place at about the temperatures of about
\( \mathbf{A} \cdot 30^{\circ} C \)
B. \( 100^{\circ} \mathrm{C} \)
c. \( 10,000^{\circ} \mathrm{C} \)
D \( .2 \times 10^{0} \mathrm{C} \)
| 3 |
Physics
|
If the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}\frac{\sin ^{2} a x}{x^{2}}, w h e n x \neq 0 \text { is continuous at } \\ k, w h e n x=0\end{array}\right. \)
\( \boldsymbol{x}=\mathbf{0} \) then \( \boldsymbol{k}=? \)
\( A \cdot a \)
в. \( a^{2} \)
\( c .-2 \)
D. -
| 2 |
Maths
|
Q Type your question
equal area \( A \) are used at the four
openings to keep the water in
equilibrium. Now an additional force \( \boldsymbol{F} \) is applied at each piston. The increase
in the pressure at the centre of the
container due to this addition is
\( A \cdot F \)
\( \bar{A} \)
B. 2 \( A \)
c. \( \frac{4 F}{A} \)
\( D \)
| 3 |
Physics
|
If \( f(x) \) is a function satisfying \( f\left(\frac{1}{x}\right)+ \)
\( x^{2} f(x)=0 \) for all non-zero \( x, \) then \( \int_{\sin \theta}^{\operatorname{cosec} \theta} f(x) d x \) equals to:
A \( \cdot \sin \theta+\operatorname{cosec} \theta \)
B. \( \sin ^{2} \theta \)
\( \mathrm{c} \cdot \operatorname{cosce}^{2} \theta \)
D. None of these
| 2 |
Maths
|
A particle of charge \( Q \) and mass \( m \)
travels through a potential difference \( V \) from rest. The final momentum of the
particle is:
A \( \cdot p=\sqrt{\frac{Q m}{V}} \)
в. \( P=\sqrt{Q V} \)
c. \( P=\sqrt{2 m Q V} \)
D. \( P=\sqrt{\frac{2 Q V}{m}} \)
| 3 |
Physics
|
A steel rod of length \( I, \) area of cross
section \( A, \) Young's modulus \( E \) and linear
coefficient of expansion a is heated through \( t^{\circ} C . \) The work that can be
performed by the rod when heated is
A \( \cdot(E A a t) \times(l a t) \)
B \( \cdot \frac{1}{2}(E A a t) \times(l a t) \)
c. \( \frac{1}{2}(E A a t) \times \frac{1}{2}(l a t) \)
D. 2(EAat)(lat)
| 3 |
Physics
|
Moonj is used to make furniture.
A. True
B. False
| 1 |
Chemistry
|
If \( \vec{A}=\vec{B}+\vec{C}, \) and the magnitudes of \( \vec{A} \) \( \vec{B}, \vec{C} \) are \( 5,4, \) and 3 units, then the angle between \( \vec{A} \) and \( \vec{C} \) is
A \( \cdot \cos ^{-1}\left(\frac{3}{5}\right) \)
B. \( \cos ^{-1}\left(\frac{4}{5}\right) \)
\( ^{c} \cdot \sin ^{-1}\left(\frac{3}{4}\right) \)
D. \( \frac{\pi}{2} \)
| 3 |
Physics
|
Construct a triangle \( A B C \) in which
\( B C=8 c m, \angle B=45^{\circ} \) and \( A B- \)
\( A D=3.5 \mathrm{cm} \)
| 2 |
Maths
|
An atom has \( 2 K, 8 L \) and \( 5 M \) electrons.
Choose the correct statement(s)
regarding it.
A. Trivalent anion of this atom will have
12 protons in its nucleus.
B. Trivalent cation of this atom will have
six p-electrons in it.
C. This atom form an amphoteric oxide
of formula \( X_{2} O_{3} \)
D. One of its allotrope is tetra atomic
\( \left(X_{4}\right) \)
A. \( A \) and \( B \)
B. \( B \) only
c. \( B \) and \( C \)
D. \( B \) and \( D \)
| 1 |
Chemistry
|
The Braille code used by blind people use dot patterns for words. How many dot patterns or characters are
used for this code?
A . 52
B. 63
\( c \cdot 48 \)
D. 26
| 3 |
Physics
|
If \( \frac{a+b}{1-a b}, b \) and \( \frac{(b+c)}{1-b c} \) are in A.P., then
\( c, a b c, a \) are in
A. A.P.
в. G.P.
c. н.P
D. none of these
| 2 |
Maths
|
A steel wire is stretched by 1 kg wt. If the radius of the wire is doubled,
its Young's modulus will:
A. remain unchanged
B. become half
c. become double
D. become four times
| 3 |
Physics
|
Find the number of real numbers in
the solution set of following \( \frac{2 x}{5}+1<-3 \)
A . 10
B. 11
\( c \cdot 9 \)
D. Infinite
| 2 |
Maths
|
Two spheres are placed into free fall
from rest. Sphere B has a mass three
times larger than sphere A.Which statement(s) correctly explains the situation?
I. Sphere B falls faster.
Il. Sphere B has more momentum when the two reach the ground.
III. Both spheres reach the ground with
the same kinetic energy
A. I only
B. II only
c. I and III only
D. II and II only
E . ।, II, and III
| 3 |
Physics
|
For all \( a, b \in R \) the function \( f(x)= \)
\( 3 x^{4}-4 x^{3}+6 x^{2}+a x+b \) has
A. no extremumm
B. exactly one extremum
c. exactly two extremum
D. three extremum
| 2 |
Maths
|
Write the special characteristics/features of the human
excretory system
| 0 |
Biology
|
In the figures given below, write which
lines form a pair of parallel lines and
write them in the form of symbols:
(1)
(2)
(3)
(4)
| 2 |
Maths
|
Eye lens is a:
A. transparent double-convex lens
B. transparent double-concave lens
C . transparent concavo-convex lens
D. None of these
| 3 |
Physics
|
Some of the following are suspensions:
I : Fog ;
Il: Air ;
III : Blood
IV : Paint ;
V: Aerosol sprays ;
VI : Pearl
True suspensions are :
A . ।, ॥।, ॥।
B. ॥I, IV, V
c. ।, ॥ा, v
D. I, II,V
| 1 |
Chemistry
|
Assertion
\( I O_{3}^{-} \) is reduced to \( I^{+} \) but intermediate
gives violet color in \( C C I_{4} \) (taken as
medium).
Reason
\( I_{2} \) is formed as the intermediate
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
| 1 |
Chemistry
|
With the increase in the area of contact
of an object, the pressure:
(Note : Thrust remains same)
A. Increases
B. Decreases
c. Is not affected
D. None of these
| 3 |
Physics
|
State whether given statement is True or False.
The motion of a giant wheel is a circular motion
A. True
B. False
| 3 |
Physics
|
State whether the given statement is True or False:
A small isolated conductor has a large
positive charge. The electric field inside this conductor will be zero.
A. True
B. False
| 3 |
Physics
|
A hydrocarbon has molecular formula
\( C_{4} H_{6} . \) Which of the class of
hydrocarbons cannot have this formula?
A. A cycloalkene
B. A bicycloalkane
c. A diene
D. A bicycloalkene
| 1 |
Chemistry
|
If \( y=a^{\frac{1}{2} \log _{a} \cos x} . \) Find \( \frac{d x}{d} \)
| 2 |
Maths
|
A charge \( Q \) is located at the centre of a
sphere of radius \( R \) Calculate the flux
going out through the surface of the
sphere
\( ^{A} \cdot \frac{Q}{4 \pi \epsilon_{0} R^{2}} \)
в. \( \frac{Q}{4 \pi \epsilon_{0} R} \)
c. \( \frac{Q}{4 \pi R^{2}} \)
D. \( \underline{Q} \)
| 3 |
Physics
|
\( A, B \) and \( C \) start a business each
investing Rs 20000 After 5 months \( A \) withdraw Rs \( 5000, \) B withdraw Rs 4000 and \( C \) invests \( R s 6000 \) more \( A t \) the end
of the year a total profit of Rs 69900 was recorded Find the share of each
A. Rs. 20500, Rs.27200, Rs. 22200
B. Rs. 20500, Rs.25200, Rs. 24200
c. \( R s .20500, \) Rs.21200, Rs. 28200
D. Rs. 20500, Rs.23200, Rs. 26200
| 2 |
Maths
|
Why are noble gases missing from Newland's octaves?
| 1 |
Chemistry
|
A particle executing simple harmonic motion with time period T. The time period with which its kinetic energy oscillates is
A. \( T \)
B . 2 T
c. 4 न
D.
| 3 |
Physics
|
Assuming the mass of Earth to be ten times the mass of Mars, its radius to be
twice the radius of Mars and the
acceleration due to gravity on the
surface of Earth is \( 10 \mathrm{m} / \mathrm{s}^{2} \). Then the
acceleration due to gravity on the surface of Mars is given by.
A \( \cdot 0.2 m / s^{2} \)
B. \( 0.4 m / s^{2} \)
c. \( 2 m / s^{2} \)
D. \( 4 m / s^{2} \)
E \( .5 \mathrm{m} / \mathrm{s}^{2} \)
| 3 |
Physics
|
Choose the statement that best
describes given compounds.
A. 1,3,4 represent same compounds
B. 1 and 3 are isomer of 2 and 4
C. 1,4 are isomer represent the compound
D. All the structure represent the same compound
| 1 |
Chemistry
|
The reaction of chlorine with \( \mathrm{CO} \) in the
presence of sun light gives:
A \( \cdot \mathrm{COCl}_{2} \)
в. \( \mathrm{co}_{2} \mathrm{cl}_{2} \)
c. HOCl
D. \( \mathrm{H}_{2} \mathrm{C} 1_{2} \mathrm{O}_{2} \)
| 1 |
Chemistry
|
If two angles of a triangle are \( \tan ^{-1}(2) \)
and \( \tan ^{-1}(3), \) then the third angle is
\( ^{A} \cdot \frac{\pi}{4} \)
в.
\( c \cdot \frac{\pi}{3} \)
D.
| 2 |
Maths
|
Which is true about Trypanosoma
A. Polymorphic
B. Monogenetic
C. Facultative parasite
D. Non-pathogenic
| 0 |
Biology
|
If \( \boldsymbol{P}\left(\boldsymbol{E}_{\boldsymbol{k}}\right)=\boldsymbol{C} \) for \( \mathbf{0} \leq \boldsymbol{k} \leq \boldsymbol{n}, \) then \( \boldsymbol{P}(\boldsymbol{A}) \)
equals
A \( \cdot 1 / 2 \)
в. \( 2 / 3 \)
\( c \cdot 1 / 6 \)
D. \( 1 /(n+1) \)
| 2 |
Maths
|
The only family showing resupination is
A. Leguminosae
B. Compositae
c. orchidaceae
D. Malvaceae
| 0 |
Biology
|
set the following vectors in the increasing order of their magnitudes.
a) \( 3 i+4 j \)
b) \( 2 i+4 j+6 k \)
c)2i+2j+2k
A. b,a c
B. \( c, a, b \)
\( c \cdot a, c, b \)
\( D \cdot a, b, c \)
| 2 |
Maths
|
The volume of anatomically dead space, air in the lungs of human beings is normally
A. 230 mL
B. 210 mL
\( c . \) 190 \( \mathrm{mL} \)
D. 150 mL
| 0 |
Biology
|
The standard deviation of some
temperature data in \( ^{\circ} \boldsymbol{C} \) is \( 5 . \) If the data
were converted into \( ^{\circ} \boldsymbol{F} \), the variance
would be
\( A \cdot 81 \)
B. 57
\( c . \) 36
D. 25
| 2 |
Maths
|
What is sound and how is it produced?
| 3 |
Physics
|
Which of the following is not relevant to
the structure of double helical DNA?
A. The helix makes one complete spiral turn every \( 34 A^{\circ} \)
B. The diameter of the helix is \( 20 A^{\circ} \)
C. The distance between adjacent nucleotide is \( 3.4 \mathrm{A}^{\circ} \)
D. Each strand of helix has a backbone made up of alternating ribose sugar and phosphate
E. The two adjacent sugar molecules joined with phosphate by phosphodiester bond.
| 0 |
Biology
|
A body of mass \( 6 \mathrm{kg} \) is moving with uniform velocity along a straight line when a force of \( 12 \mathrm{N} \) is acting on it. If \( \boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-2}, \) find the frictional
force acting on the body.
\( A \cdot 6 N \)
B. 12 N
\( c \cdot 18 N \)
D. 24 N
| 3 |
Physics
|
Short / long answer type questions.
Describe the events involved in the
process of breathing.
| 0 |
Biology
|
what is the physical significance of negative energy of electron in atom?
| 3 |
Physics
|
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