text
stringlengths 1
4.32k
| label
int64 0
3
| label_text
stringclasses 4
values |
|---|---|---|
A beaker containing liquid is placed on a table, underneath a microscope which can be moved along a vertical scale. The microscope is focused through the liquid on to a mark on the table when
the reading on the scale is \( h_{1} . \) It is next
focused on the upper surface of the
liquid and the reading is \( h_{2} . \) More liquid
is added and the observations are
repeated, the corresponding readings \( \operatorname{are} h_{1}^{\prime} \) and \( h_{2}^{\prime} . \) The refractive index of the liquid is
\( \mathbf{A} \)
\[
\frac{h_{2}^{\prime}-h_{2}}{h_{2}^{\prime}-h_{1}^{\prime}-h_{2}+h_{1}}
\]
B.
\[
\frac{h_{2}^{\prime}-h_{1}^{\prime}}{h_{2}^{\prime}-h_{1}^{\prime}-h_{2}+h_{1}}
\]
\( \mathbf{c} \)
\[
\frac{h_{1}^{\prime}-h_{2}}{h_{2}^{\prime}-h_{1}^{\prime}-h_{2}+h_{1}}
\]
D. None of these
| 3 |
Physics
|
Find the value of \( \tan \left[\frac{1}{2} \cos ^{-1} \frac{\sqrt{5}}{3}\right] \)
| 2 |
Maths
|
Which enzyme is concerned with transfer of electrons?
A. Desmolase
B. Hydrolase
c. Dehydrogenase
D. Transaminase
| 0 |
Biology
|
In the path of the cathode rays, a tungsten metal is placed in the way. Then the rays produced are:
A. cathode rays
B. anode rays
c. \( x \) -rays
D. UV rays
| 1 |
Chemistry
|
Evaluate the following integrals:
\( \int_{0}^{\pi} x d x \)
| 2 |
Maths
|
Given find \( \boldsymbol{P}(\boldsymbol{A})=\frac{1}{5}, \) find \( \boldsymbol{P}(\boldsymbol{A} \text { or } \boldsymbol{B}), \) if
\( A \) and \( B \) are mutually exclusive events.
| 2 |
Maths
|
Variance is independent of change of
A . only origin
B. only scale
c. origin and scale both
D. none of these
| 2 |
Maths
|
For an isolated system, the entropy:
A. Either increases or remains constant
B. Either decreases or remains constant
c. can never decrease
D. can never increase
| 1 |
Chemistry
|
Plants like sugarcane and sorghum have indigenously developed system to overcome the loss by photorespiration as they are .......... plants.
\( \mathbf{A} \cdot C_{4} \)
в. \( C_{3} \)
c. \( C_{2} \)
D. \( C_{1} \)
| 0 |
Biology
|
Names three types of rainfall.
| 0 |
Biology
|
Draw a quadrilateral that have four
lines of symmetry.
| 2 |
Maths
|
Due to balanced forces on the surface
absorbents attract molecules of gas or
liquid.
If this is true enter 1 , if false enter 0 .
| 1 |
Chemistry
|
A sample of \( C a C O_{3} \) has \( C a-40 \%, C= \) \( 12 \% \) and \( 0=48 \% \). If the law of constant
proportions is true, then the mass of Ca
in 5 g of \( C a C O_{3} \) from another source
will be:
A. 2.0
B. \( 0.2 \mathrm{g} \)
c. \( 0.02 g \)
D. 20.0
| 1 |
Chemistry
|
Which of the following has a bond
formed by overlap of \( s p^{3}- \) hybrid
orbitals?
A. \( C H_{3}-C \equiv C-C H_{3} \)
в. \( C H_{3}-C H=C H-C H_{3} \)
C \( . C H_{2}=C H-C H=C H_{2} \)
D. \( H C \equiv C H \)
| 1 |
Chemistry
|
A line \( 4 x+y=1 \) passes through the
point \( \boldsymbol{A}(\mathbf{2},-\mathbf{7}) \) and meets line \( \boldsymbol{B} \boldsymbol{C} \) at \( \boldsymbol{B} \)
whose equation is \( 3 x-4 y+1=0, \) the
equation of line \( A C \) such that \( A B= \) \( \boldsymbol{A C} \) is
A \( .52 x+89 y+519=0 \)
В. \( 52 x+89 y-519=0 \)
c. \( 82 x+52 y+519=0 \)
D. \( 89 x+52 y-519=0 \)
| 2 |
Maths
|
Stomata of a plant open due to
A. Influx of potassium ions
B. Efflux of potassium ions
c. Influx of hydrogen ions
D. Influx of calcium ions
| 0 |
Biology
|
Let \( p: A \) triangle is equilateral, \( q: A \) triangle is equiangular then inverse of
\( \boldsymbol{q} \rightarrow \boldsymbol{p} \) is
A. If a triangle is not equilateral then it is not equiangular
B. If a triangle is not equiangular then it is not equilateral
C. If a triangle is equiangular then it is not equilateral
D. If a triangle is equiangular then it is equilateral
| 2 |
Maths
|
The two different ways of harnessing energy from ocean are :
A. Tidal Wave, OTEC
B. Geothermal, wave energy device
C. Solar energy, point wave absorber
D. All of the above
| 3 |
Physics
|
Arrange the following in the increasing order of their basicities.
I. \( p- \) Toluidine
II. \( N, N- \) Dimethyl - \( p \) - toluidine
III. \( p- \) Nitroaniline
IV. Aniline
A. \|\|\( <\|v<1<\| \)
B. II \( <\mid V<1<11 \)
c. \( \|<\|<1<1 V \)
| 1 |
Chemistry
|
Which of the following is the first oxidation product of secondary alcohol?
A. Alkene
B. Aldehyde
c. Ketone
D. carboxylic acid
| 1 |
Chemistry
|
Pure benzene freezes at \( 5.3^{\circ} \mathrm{C} \). A
solution of 0.223 g of phenyl acetic acid \( \left(C_{6} H_{5} C H_{2} C O O H\right) \) in 4.4 g of benzene \( \left(K_{f} 5.12 \mathrm{K} \mathrm{kg} \mathrm{mol}^{-1}\right) \) freezes at \( 4.47^{\circ} \mathrm{C} \)
From the observation one can conclude
that:
A. phenyl acetic acid exists as such in benzene
B. phenyl acetic acid undergoes partial ionization in benzene
c. phenyl acetic acid undergoes complete ionization in benzene
D. phenyl acetic acid dimerizes in benzene
| 1 |
Chemistry
|
Find discriminant of the equation \( 5 x- \) \( 6=\frac{1}{x} \)
| 2 |
Maths
|
Find the slope of tangent of the curve
\( \boldsymbol{x}=\boldsymbol{a} \sin ^{3} \boldsymbol{t}, \boldsymbol{y}=\boldsymbol{b} \cos ^{3} \boldsymbol{t} \) at \( \boldsymbol{t}=\frac{\pi}{2} \)
A . cott
B. \( - \) tant
c. \( - \) cott
D. not defined at \( \frac{\pi}{2} \)
| 2 |
Maths
|
The acid hydroylsis of ester is:
This question has multiple correct options
A. first order reaction
B. bimolecular reaction
C . pseudo unimolecular reaction
D. none of the above
| 1 |
Chemistry
|
Which of the following statements is
not correct for \( \boldsymbol{S O}_{2} \) gas?
A. It acts as bleaching agent in moist conditions.
B. Its dilute solution is used as disinfectant.
C. Its molecules have linear geometry.
D. Acidified \( K M n O_{4} \) is decolourised when \( S O_{2} \) is passed through it
| 1 |
Chemistry
|
Prolonged liberal irrigation of agricultural fields is likely to create a problem of
A . Acidity
B. Alkalinity
c. salinity
D. Metal toxicity
| 0 |
Biology
|
If the side of a rectangle are \( 7 \mathrm{cm} \) and
\( 5 \mathrm{cm}, \) find its area.
| 2 |
Maths
|
A point is moving along the curve \( y^{3}= \) \( 27 x \). The interval in which the abscissa
changes at slower rate than ordinate, is
A \( \cdot(-3,3) \)
B \( \cdot(-\infty, \infty) \)
c. (-1,1)
D. \( (-\infty,-3) \cup(3, \infty) \)
| 2 |
Maths
|
If the radian measures of two angles of a triangle are \( \frac{5 \pi}{9}, \frac{5 \pi}{18} . \) Find the radian measure and the degree measure of the third angle.
| 2 |
Maths
|
A Planar Complex (Mabcd) gives:
A. Two optical isomer
B. Two geometrical isomer
c. Three optical isomer
D. Three geometrical isomers
| 1 |
Chemistry
|
Assertion
The Sl unit of weight is Newton.
Reason
Weight is the force of gravity with which
a body is attracted towards the earth.
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
|
If \( f(x)=x^{2}-3 x+4 \), then find the
value of \( 3\left(x_{1}+x_{2}\right) \) if \( x_{1}, x_{2} \) satisfying
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{f}(\boldsymbol{2} \boldsymbol{x}+\mathbf{1}) \)
| 2 |
Maths
|
Define conductivity and molar conductivity for the solution of an electrolyte. Discuss their variation with
concentration.
| 1 |
Chemistry
|
The domain of \( \boldsymbol{f}(\boldsymbol{x})=|\boldsymbol{x}-\mathbf{2}|-|\boldsymbol{x}-\mathbf{5}| \)
is
A. \( R-(2,5) \)
B . \( R-0 \)
\( c \cdot(0, \infty) \)
D. \( R \)
| 2 |
Maths
|
Name asexual reproductive structures in the following organism.
¡) Hydra
ii) Chlamydomonas
iii) Penicillium
| 0 |
Biology
|
Find the angle between the planes:
\( x+y-2 z=3 \) and \( 2 x-2 y+z=5 \)
| 2 |
Maths
|
Find the coefficient of variation.
A. 72.66
B. 81.24
\( c \cdot 264 \)
D. 330
E. None
| 2 |
Maths
|
For an exothermic reaction to be
spontaneous:
A. temperature must be high
B. temperature must be zero
c. temperature may have any magnitude
D. temperature must be low
| 1 |
Chemistry
|
The nuclear reaction is given as \( _{6} C^{11} \rightarrow_{5} B^{11}+\beta+X . \) Here, \( X \) is?
A. A proton
B. An electron
c. A neutrino
D. A neutron
| 3 |
Physics
|
Easy to shape materials like ceramics are used as
A. conductors
B. insulators
c. electrodes.
D. catalysts.
| 3 |
Physics
|
CO is absorbed by:
A. Haemoglobin
в. \( C H C l_{3} \)
c. \( C C l_{4} \)
D. pyrogallol
| 1 |
Chemistry
|
Which of the following species has been oxidized?
\( M g(O H)_{2(a q)}+2 N a_{(s)} \rightarrow M g_{(s)}+ \)
\( \mathbf{2} \boldsymbol{N} \boldsymbol{a} \boldsymbol{O} \boldsymbol{H}_{(a q)} \)
A. \( M g^{+2} \)
в. \( N a \)
\( \mathrm{c} . M g \)
D. \( O H^{-} \)
| 1 |
Chemistry
|
In the propagation of electromagnetic waves, the angle between the direction of propagation and plane of polarisation
is
A \( \cdot 0^{\circ} \)
B. \( 45^{\circ} \)
c. \( 90^{\circ} \)
D. \( 180^{\circ} \)
| 3 |
Physics
|
The empirical formula of natural rubber
is:
\( \mathbf{A} \cdot\left(C_{3} H_{5}\right)_{n} \)
B \( \cdot\left(C_{5} H_{8}\right)_{n} \)
\( \mathbf{c} \cdot\left(C_{5} H_{3}\right)_{n} \)
D. \( \left(C_{8} H_{5}\right)_{n} \)
| 1 |
Chemistry
|
Assertion
Separation of lanthanides is very
difficult.
Reason
Lanthanides differ only with electronic
configuration in antipen ultimate shell.
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
| 1 |
Chemistry
|
Find the mean deviation about mean for
the data in \( \mathrm{Ex} 9 \) and 10 .
\( \begin{array}{lll}\text { Income per day } & \text { No of persons } \\ 0-100 & 4 \\ 100-200 & 8 \\ 200-300 & 9 \\ 300-400 & 10 \\ 400-500 & 7 \\ 500-600 & 5 \\ 600-700 & 4 \\ 700-800 & 3\end{array} \)
| 2 |
Maths
|
Two dimetrically opposite points of a metal ring are connected to two terminals of the left gap of metrebridge.
The resistance of \( 11 \Omega \) is connected in
right gap. If null point is obtained at a distance of \( 45 \mathrm{cm} \) from the left end, find
the resistance of metal ring.
| 3 |
Physics
|
Three waves of amplitudes \( 12 \mu m, 4 \mu m \)
and \( 9 \mu m \) but of same frequency arrive at a point in a medium with a successive phase diffeerence of \( \frac{\pi}{2} \) Then the resultant amplitude is
A .4
B. 7
\( c .5 \)
D. 25
| 3 |
Physics
|
In the Lassaignes test for nitrogen in an organic compound, the Prussian
blue colour is obtained due to the
formation of:
| 1 |
Chemistry
|
A cube of side \( 10 \mathrm{cm} \) encloses a charge
of \( 0.1 \mu C \) at its centre.What is the
number of lines of force through each
face of the cube
A \( \cdot 1.13 \times 10^{11} \)
В. \( 1.13 \times 10^{6} \)
c. \( 1.13 \times 10^{23} \)
D. 1883
| 3 |
Physics
|
Assertion
Inspiration occurs when there is a negative pressure in the lungs with respect to the atmospheric pressure.
Reason
During inspiration, a decrease in pulmonary volume increases the intrapulmonary pressure than atmospheric pressure which forces the air from
outside to move into the lungs.
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
|
In the following circuit, the switch is
closed at \( t=0 . \) Find the currents
\( i_{1}, i_{2}, i_{3} \) and \( d i_{3} / d t \) at \( t=0 \) and \( a t t= \)
\( \infty . \) Initially, all currents are zero
| 3 |
Physics
|
A solution containing
0.1 mole of naphthalene and 0.9 mole of benzene is cooled out until some benzene freezes
out. The solution is then decanted off
from the solid and warmed up to \( 353 \mathrm{K} \) where its vapour pressure was found to
be 670 torr. The freezing point and boiling point of benzene are \( 278.5 \mathrm{K} \) and
\( 353 \mathrm{K} \) respectively and its enthalpy of fusion is \( 10.67 \mathrm{kJ} \) mol \( ^{-1} \). Calculate the
depression in freezing point for original solution to the nearest integer. Assume ideal behaviour
| 1 |
Chemistry
|
Find the value of \( \frac{d y}{d x} \) at \( \theta=\frac{\pi}{4} \) if \( x= \) \( \boldsymbol{a} e^{\theta}(\sin \theta-\cos \theta) \) and \( y=a e^{\theta}(\sin \theta+ \)
\( \cos \theta) \)
| 2 |
Maths
|
Critical elements are
A. Na, K and ca
B. N, P and Mg
c. \( N, \) P and \( \kappa \)
D. Mn, B and Mo
| 0 |
Biology
|
The sum of an infinitely decreasing
geometric progression is equal to 4 and the sum of the cubes of its terms is
equal to \( 192 . \) Find the first term and the
common ratio of the progression.
| 2 |
Maths
|
What is Misch metal? Give its
composition and uses.
| 1 |
Chemistry
|
Two wires carrying current in opposite
directions are placed a distance \( a \)
apart Which of the following will cause the greatest increase in the magnitude of the force between the wires?
A. Doubling the current in one wire.
B. Doubling the current in both wires.
c. Doubling the distance between the wires to \( 2 a \)
D. Decreasing the distance between the wires to
E. Running the currents in the same direction
| 3 |
Physics
|
Electromagnets are made of soft iron
because soft iron has
A. high susceptibility and low retentivity
B. low susceptibility and high retentivitty
c. low susceptibility and low retentivity
D. high susceptibility and high retentivity
| 3 |
Physics
|
IUPAC name of \( N a_{3}\left[C o\left(N O_{2}\right)_{6}\right] \) is
A. sodium hexanitrocobaltate (III)
B. sodium cobaltnitrate
C. trisodium hexanitrocobalt
D. hexanitrocobalt (III) trisodium complex
| 1 |
Chemistry
|
Determine the distance from (5,10) to
the line \( x-y=0 \)
A . 3.86
в. 3.54
c. 3.68
D. 3.72
E. none of these
| 2 |
Maths
|
Some of the most profound statements
on the nature of science have come
from Albert Einstein, one of the greatest
scientists of all time. What do you think did Einstein mean when he said : "The
most incomprehensible thing about the world is that it is comprehensible"?
| 3 |
Physics
|
When ethyl alcohol and acetic acid mixed together in equimolecular proportions, equilibrium is attained when two-third of the acid and alcohol
are consumed. The equilibrium constant of the reaction will be:
A . 0.4
B. 4
c. 40
D. 0.04
| 1 |
Chemistry
|
If the mass of electron is \( 9.11 \times 10^{-31} \)
kg. Planck's constant is \( 6.626 \times 10^{-34} \)
J-s and uncertainty in position is \( 0.1 A \) then uncertainty in velocity is?
A \( \cdot 5.79 \times 10^{8} \mathrm{m} / \mathrm{s} \)
В. \( 5.79 \times 10^{5} \mathrm{m} / \mathrm{s} \)
c. \( 5.79 \times 10^{6} \mathrm{m} / \mathrm{s} \)
D. \( 5.79 \times 10^{7} \mathrm{m} / \mathrm{s} \)
| 1 |
Chemistry
|
Electricity at rest is called
A. Dynamic Electricity
B. Static Electricity
C. Both (a) and (b)
D. None of these
| 3 |
Physics
|
Number of waves made by the pion when orbiting in third excitation state
are
\( A \cdot 3 \)
B. 6
\( c \cdot 3 z^{2} \)
\( D \cdot 4 z^{2} \)
| 1 |
Chemistry
|
The area under the velocity-time graph
between any two instant \( t=t_{1} \) and \( t= \)
\( t_{2} \) gives the displacement covered in
time \( \delta t=t_{2}-t_{1} . \) This is true:
A. only if the particle moves with a uniform velocity
B. only if the particle moves with a uniform acceleration
c. only if the particle moves with an acceleration increasing at a uniform rate
D. in all cases irrespective of whether the motion is one of uniform velocity, or of uniform acceleration or of variable acceleration
| 3 |
Physics
|
The thermodynamic efficiency of cell is given by:
A. \( \Delta H / \Delta G \)
в. \( \frac{n F E}{\Delta G} \)
c. \( \frac{-n F E}{\Delta H} \)
D \( \cdot n F E^{\ominus} \)
| 1 |
Chemistry
|
The colloidal system consisting of a liquid adsorbate in a solid adsorbent is termed as:
A . Aerosol
B. Foam
c. Emulsion
D. Gel
| 1 |
Chemistry
|
The size of \( N b \) is very similar to:
A. \( L a \)
в. \( H f \)
c. \( T a \)
D. \( W \)
| 1 |
Chemistry
|
Which of the following takes place in
discharge process at anode?
\( \mathbf{A} \cdot P b O_{2}+4 H^{+}+S O_{4}^{2-}+2 e^{-} \rightarrow P b S O_{4}+2 H_{2} O \)
B \( \cdot P b S O_{4}+2 H_{2} O \rightarrow P b O_{2}+4 H^{+}+S O_{4}^{2-}+2 e^{-} \)
\( \mathbf{c} \cdot P b S O_{4}+2 e^{-} \rightarrow P b+S O_{4}^{2} \)
\( \mathbf{D} \cdot P b S O_{4}+4 H_{2} O \rightarrow P b O_{2}+8 H^{+}+S O_{4}^{2-}+2 e^{-} \)
| 1 |
Chemistry
|
A spherical rock weighs \( 1000 N \) on a
certain planet. The planet is a billion times as massive as the rock and has a
radius that is a billion times as great as that of the rock's radius.
How much force does the rock exert on
the planet?
A. A thousand-billion Newtons
B. A thousand-billion-billion Newtons
c. A thousand billionths of a Newton
D. A thousand billion-billionths of a Newton
E. A thousand Newtons
| 3 |
Physics
|
Form the differential equation
corresponding to \( y=c x-2 c^{2} \) where \( c \)
is a parameter
| 2 |
Maths
|
If no force acts on a body it will
A. change shape
B. move with increased speed
C. either remain in rest or move with uniform speed
D. break up
| 3 |
Physics
|
The magnification of an object placed in front of a convex lens of focal length
\( 20 \mathrm{cm} \) is \( +2 . \) To obtain a magnification
of \( -2, \) the object has to be moved a distance equal to:
\( \mathbf{A} \cdot 10 \mathrm{cm} \)
B. \( 20 \mathrm{cm} \)
c. \( 30 \mathrm{cm} \)
D. \( 40 \mathrm{cm} \)
| 3 |
Physics
|
The distance between an object and its real image formed by a convex lens
cannot be
A. greater than \( 2 f \)
B. less than \( 2 f \)
c. greater than \( 4 f \)
D. less than \( 4 f \)
| 3 |
Physics
|
\( \boldsymbol{X} \) has three children in his family. Probability of atleast two girls in the family is....
A \( \cdot \frac{1}{8} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{1}{4} \)
D. \( \frac{3}{4} \)
| 2 |
Maths
|
A ball of mass \( m \) and radius \( r \) is
released in a viscous liquid. The density of the liquid is negligible compared to that of the ball.The value of its terminal
velocity is proportional to:
A \( \cdot \frac{1}{r} \) only
в. \( \frac{m}{r} \)
c. \( \sqrt{\frac{m}{r}} \)
D. m only
| 3 |
Physics
|
The free energy of the formation of \( ^{\prime} N O^{\prime} \)
is \( 78 k J / m o l \) at the temperature of an
automobile engine \( (1000 K) . \) What is
the \( K_{C} \) equilibrium constant for this
reaction at \( 1000 K \)
\( \frac{1}{2} N_{2}(g)+\frac{1}{2} O_{2}(g) \rightleftharpoons N O(g) \)
A . \( 8.4 \times 10^{-5} \)
В. \( 7.1 \times 10^{-9} \)
c. \( 4.2 \times 10^{-10} \)
D. \( 1.7 \times 10^{-19} \)
| 1 |
Chemistry
|
What is the angle of incidence for an
equilateral prism of refractive index \( \sqrt{\mathbf{3}} \) so that the ray is parallel to the base inside the prism?
\( A \cdot 30 \)
B . 45
\( c \cdot 60 \)
D. Either \( 30^{\circ} \) or 60
| 3 |
Physics
|
Which one of the following is a scalar quantity?
A. Displacement
B. Velocity
c. Acceleration
D. Linear momentum
E. Kinetic energy
| 3 |
Physics
|
The correct sequence of linkage among N of base, \( C \) of sugar and \( P \) of phosphate in adenosine-5'triphosphate is:
A. C-P-N-P-P
B. N-P-C-P-P-P
c. p-c-N-p-p
D. P-P-P-C-N
| 1 |
Chemistry
|
There are four different white balls and
four different black balls. The number of
ways that balls can be arranged in a row so that white and black balls are placed alternately is
\( A \cdot(4 !)^{2} \)
B. \( 2(8 !)^{2} \)
\( c \cdot 4 \)
\( D \cdot(4 !)^{3} \)
| 2 |
Maths
|
An electron in hydrogen atom stays in 2nd orbit for \( 10^{-8} \). How many, revolutions will it make till it jumps to the ground state?
| 3 |
Physics
|
Assertion
\( X e F_{6} \) can be used as an oxidising
agent.
Reason
Oxidation state of \( \mathrm{Xe} \) in \( X e F_{6} \) is +6
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 true but Reason is false
D. Assertion is false but Reason is true
| 1 |
Chemistry
|
Given \( A=\hat{i}+2 \hat{j}-3 \hat{k} . \) When a vector
\( B \) is added to \( A, \) we get a unit vector
along \( x \) -axis. Then \( B \) is
\( \mathbf{A} \cdot-2 \hat{j}+3 \hat{k} \)
В. \( -1 \hat{i}-2 \hat{j} \)
c. \( -1 \hat{i}+3 \hat{k} \)
D. 2 \( \hat{j}-3 \hat{k} \)
| 2 |
Maths
|
Given the velocity-time graph. How can
it be used to find the distance of the
body in a given time.
A. The total area under velocity-time graph
B. The net area under velocity-time graph
c. slope of velocity-time graph
D. negative slope of velocity-time graph
| 3 |
Physics
|
Myelin sheath has layers of fat and
protein
A. Upto 100
B. 10-20
c. Two each
D. one each
| 0 |
Biology
|
Factory A Factory B
No. of wage earners 250 200
Average daily wage Rs. २.०० Rs. 2.50
The average of daily wages for the
earners of the two factories combined is
A. Rs. 2.12
B. Rs. 2.06
C. Rs. 2.20
D. Rs. 2.22
| 2 |
Maths
|
Which nomeclature system is employed for naming plants:
A. Vernacular
B. Binomial
c. Monomial
D. Polynomial
| 0 |
Biology
|
Which one of the following is true?
\( \mathbf{A} \cdot \tan x>1 ; 45<x<90^{\circ} \)
B. \( \sin x>\frac{1}{2} ; 0^{\circ}<x<30^{\circ} \)
\( ^{\mathbf{C}} \cos x>\frac{1}{2} ; 60^{\circ}<x<90^{\circ} \)
D. \( \sin x=\cos x \) for some value of \( x ; 30^{\circ}<x<45^{\circ} \)
| 2 |
Maths
|
Bleaching action of \( C a O C l_{2} \) is due to
This question has multiple correct options
A. Nascent oxygen
в. \( C a \)
c. \( C l \)
D. \( H C l \)
| 1 |
Chemistry
|
How do the following properties vary in a Period and in a Group?
(A) Atomic radius
(B) Ionization energy
(C) Electronegativity
(D) Electropositivity
| 1 |
Chemistry
|
Why does \( H^{+} \) always get associated
with other atoms or molecules?
A. lonisation enthalpy of hydrogen resembles that of alkali metals.
B. Its reactivity is similar to halogens.
c. It resembles both alkali metals and halogens.
D. Loss of an electron from hydrogen atom results in a nucleus of very small size as compared to other atoms or ions. Due to small size it cannot exist freely
| 1 |
Chemistry
|
Aluminium and copper are extracted from their oxide and sulphide ores
respectively. Which of the following is
correct?
I. Copper is extracted by the auto reduction of copper oxide by copper sulphide.
II. Aluminium cannot be obtained by
chemical reduction due to its strong
affinity for oxygen.
III. In electrometallurgy of \( A l \), graphite is used as cathode to avoid reoxidation
of \( A l \) into \( A l_{2} O_{3} \) by preventing
formation of \( \boldsymbol{O}_{2} \)
IV. Sulphide ores of copper are difficult
to be reduced than the oxide ores.
A. \( I, I I, I V \)
B. II and III
c. \( I I I \)
D. II and \( I V \)
| 1 |
Chemistry
|
\( \boldsymbol{n} \in \boldsymbol{N},\left(\frac{1+i}{\sqrt{2}}\right)^{8 n}+\left(\frac{1-i}{\sqrt{2}}\right)^{8 n}= \)
\( A \)
B.
\( c \)
D. -
| 2 |
Maths
|
Two springs have their force constants
\( K_{1} \) and \( K_{2} . \) Both are stretched till their
elastic energies are equal. If the
stretching forces are \( F_{1} \) and \( F_{2} \) then
\( F_{1}: F_{2} \) is equal to
A \( \cdot K_{1}: K_{2} \)
в. \( K_{2}: K_{1} \)
c. \( \sqrt{K_{1}}: \sqrt{K_{2}} \)
D. \( K_{1}^{2}=K_{2}^{2} \)
| 3 |
Physics
|
Given that \( \boldsymbol{X} \sim \boldsymbol{B}(\boldsymbol{n}=\mathbf{1 0}, \boldsymbol{p}) . \) If
\( \boldsymbol{E}(\boldsymbol{X})=\mathbf{8}, \) then the value of \( \boldsymbol{p} \) is
A . 0.6
в. 0.7
c. 0.8
D. 0.4
| 2 |
Maths
|
State the cause of the apparent motion of the sun from east to west.
| 3 |
Physics
|
The ratio of coefficient of \( x^{3} \) and \( x^{4} \) in
expansion \( (1+x)^{12} \) is:
\( A \cdot \frac{4}{9} \)
B . \( \frac{1}{3} \)
\( c \cdot \frac{2}{3} \)
D.
| 2 |
Maths
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.