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Stilt roots are reported from
A. Pandanus
B. Radish
c. Mango-ginger
D. Bryophyllum
| 0 |
Biology
|
Assertion
The inductive reactance limits
amplitude of the current in a purely inductive circuit
Reason
The inductive reactance is independent
of the frequency of the current
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 order and degree of the differential
equation \( y^{\prime}+\left(y^{\prime \prime}\right)^{2}=\left(x+y^{\prime \prime}\right)^{2} \) are:
A .2,1
в. 1,1
\( c \cdot 2,2 \)
D. 1,2
| 2 |
Maths
|
Which of the following have dipole
moment?
This question has multiple correct options
A. nitrobenzene
B. p-chloronitrobenzene
c. m-dichlorobenzene
D. o-dichlorobenzene
| 1 |
Chemistry
|
2.16 grams of \( \mathrm{Cu} \), on reaction with
\( H N O_{3}, \) followed by ignition of the
nitrate, gave 2.7 g of copper oxide. In another experiment 1.15 g of copper oxide, upon reaction with hydrogen, gave 0.92 g of copper. This data illustrate the law of:
A. multiple proportions
B. definite proportions
c. reciprocal proportions
D. conservation of mass
| 1 |
Chemistry
|
The pH values of certain familiar substances are given below
\( \begin{array}{ll}\text { Substance } & \text { pH value } \\ \text { Blood } & 7.4 \\ \text { Baking soda } & 8.2 \\ \text { Vinegar } & 2.5 \\ \text { Household ammonia } & 12\end{array} \)
Analyse the data in the table and answer the following questions
a) Which substances are acidic in
nature?
b) Which substances are basic in
nature?
| 1 |
Chemistry
|
Composition of azurite mineral is:
A \( \cdot C u C O_{3} \cdot C u O \)
в. \( C u\left(H C O_{3}\right)_{2} . C u(O H)_{2} \)
\( \mathrm{c} \cdot 2 \mathrm{Cu} \mathrm{CO}_{3} \cdot \mathrm{Cu}(\mathrm{OH})_{2} \)
D. None of these
| 1 |
Chemistry
|
Degree of a constant term of a
polynomial is
A .
B. 0
\( c \cdot 2 \)
D. Not defined
| 2 |
Maths
|
A body starts from rest and moves with
a uniform acceleration. The ratio of the
distance covered in the \( n^{t h} \) sec to the
distance covered in \( n \) sec is:
A \( \cdot \frac{2}{n}-\frac{1}{n^{2}} \)
B. \( \frac{1}{n^{2}}-\frac{1}{n} \)
C \( \cdot \frac{2}{n^{2}}-\frac{1}{n} \)
D. \( \frac{1}{n}-\frac{1}{n^{2}} \)
| 3 |
Physics
|
Both a short day plant and a long day
plant can produce flower
simultaneously in a given place. Explain.
| 0 |
Biology
|
Insert 17 arithmetic means between \( 3 \frac{1}{2} \) and \( -41 \frac{1}{2} \)
| 2 |
Maths
|
Rate of formation of \( \boldsymbol{S} \boldsymbol{O}_{3} \) according to
the reaction \( 2 S O_{2}+O_{2} \rightarrow \)
\( \mathbf{2 S O}_{3} \quad \) is \( \quad \mathbf{1 . 6} \times \mathbf{1 0}^{-\mathbf{3}} \mathbf{k g} \quad \mathbf{m i n}^{-\mathbf{1}} \)
Hence rate at which \( S O_{2} \) reacts is:
A . \( 1.6 \times 10^{-3} \mathrm{kg} \) min \( ^{-1} \)
В. \( 8.0 \times 10^{-4} k g \) min\( ^{-1} \)
c. \( 3.2 \times 10^{-3} k g \) min\( ^{-1} \)
D. \( 1.28 \times 10^{-3} \mathrm{kg} \) min\( ^{-1} \)
| 1 |
Chemistry
|
Heat capacity is amount of heat required to raise its temperature by
\( \mathbf{A} \cdot 1^{\circ} C \)
в. \( 1 K \)
c. Both
D. None
| 3 |
Physics
|
toppr
Q Type your question
from the bottom of the vessel.
The correct system of water flowing out
is :
\( A \)
B.
\( c \)
\( D \)
| 3 |
Physics
|
The expression
\( (\sqrt{2 x^{2}+1}+\sqrt{2 x^{2}-1})^{6}+ \)
\( \left(\frac{2}{\sqrt{2 x^{2}+1}+\sqrt{2 x^{2}-1}}\right)^{6} \) is a
polynomial of degree
\( A \cdot 6 \)
B. 8
c. 10
D. 12
| 2 |
Maths
|
Write short notes on synergic bonding.
| 1 |
Chemistry
|
Specific resistance of a wire depends on the
A. Length of the wire
B. Area of cross-section of the wire
c. Resistance of the wire
D. Material of the wire
| 3 |
Physics
|
A river/ lake with an inflow of domestic
sewage rich in organic waste may result in
A. Death of fish due to lack of oxygen
B. Drying of the river/ake very soon due to algal bloom
c. Increase population of aquatic food web organisms
D. An increased production of fish due to biodegradable nutrients
| 0 |
Biology
|
Write about rain-water harvesting and its advantages.
| 0 |
Biology
|
Explain what will happen to a plant cell, if it is kept in a solution having higher water potential.
| 0 |
Biology
|
A coil of self inductance \( 2 \cdot 5 H \) and
resistance \( 20 \Omega \) is connected to a
battery of emf 120V having internal
resistance of \( 5 \Omega \). Find the current in the
circuit in steady state.
| 3 |
Physics
|
The IUPAC name of the given compound
is:
A. 2,4 -butanedione
B. ethoxy ethanone
C. ethanoic diketone
D. acetic anhydride
| 1 |
Chemistry
|
A npn transistor is connected in
common emitter configuration in a given amplifier. A load resistance of \( 800 \Omega \) is connected in the collector
circuit and the voltage drop across it is
\( 0.8 V . \) If the current amplification factor
is 0.96 and the input resistance of the circuit is \( 192 \Omega \), the voltage gain and the power gain of the amplifier will respectively be
A .4,3.84
в. 3.69,3.84
\( c \cdot 4,4 \)
D. 4.3 .69
| 3 |
Physics
|
Area of a square is \( (100 \pm 2) m^{2} . \) Its
side is:
A. \( (10 \pm 1) m \)
в. \( (10 \pm 0.1) m \)
c. \( (10 \pm \sqrt{2}) m \)
D. \( 10 \pm \sqrt{2} \% \)
| 3 |
Physics
|
find the sum of the first 20 even natural
numbers.
A . 400
в. 410
c. 420
D. 430
| 2 |
Maths
|
A body is projected with some initial velocity \( u \) at angle \( \frac{\pi}{7} \) with the horizontal. At what angle should
another body be thrown so that the
horizontal range in both cases is the
same?
A. \( \frac{\pi}{2} \)
в. \( \frac{5 \pi}{14} \)
c. \( \frac{4 \pi}{7} \)
D. \( \frac{6 \pi}{7} \)
| 3 |
Physics
|
The most powerful chlorinating agent is :
A \( \cdot \mathrm{PCl}_{3} \)
в. \( \mathrm{Cl}_{2} \mathrm{O} \)
c. \( \mathrm{PCl}_{5} \)
D. \( \mathrm{ClO}_{2} \)
| 1 |
Chemistry
|
\[
C H_{3} O-C H=C H-N O_{2}
\]
ne
\( C H_{2}=C H-N O_{2} \) \( C H_{2}=C H-C l \)
\[
C H_{2}=C H_{2}
\]
Which of the following is the correct order of \( C=C \) bond lengths among
these compounds?
A \( I>I I>I I I>I V \)
\( V \)
в. \( I V>I I I>I I>I \)
c. \( I>I I I>I I>I V \)
D. \( I I>I I I>I>I V \)
| 1 |
Chemistry
|
For the reaction \( \boldsymbol{P C l}_{3}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \rightleftharpoons \)
\( \boldsymbol{P C l}_{5}(\boldsymbol{g}) \) the value of \( \boldsymbol{K}_{c} \) at \( 250^{\circ} \boldsymbol{C} \) is 26
The value of \( \boldsymbol{K}_{\boldsymbol{p}} \) at this temperature will
be:
A . 0.61
B. 0.57
c. 0.83
D. 0.46
| 1 |
Chemistry
|
Loop of Henle is part of
A. Uriniferous tubule
B. Seminiferous tubule
c. Neuron
D. Muscle fibres
| 0 |
Biology
|
The noble gas which can form more number of compounds is :
A . Ne
в. не
c. \( x_{e} \)
\( D \cdot A \)
| 1 |
Chemistry
|
If 3 coins are tossed simultaneously,
the probability of 2 heads and 1 tail is:
A \( \cdot \frac{5}{8} \)
B. \( \frac{1}{8} \)
\( c \cdot \frac{3}{8} \)
D. \( \frac{7}{8} \)
| 2 |
Maths
|
Enzymatic filters are used for removing
A. Nitrogen pollutants
B. Chloride pollutants
c. Hydrocarbons
D. Lead
| 0 |
Biology
|
Assertion
When a battery is short-circuited, the
terminal voltage is zero.
Reason
In the situation of a short-circuit, the
current is zero
A. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct.
| 3 |
Physics
|
Among \( K O_{2}, A l O_{2}^{-}, B a O_{2} \) and \( N O_{2}^{+} \)
unpaired electron is present in:
A. \( K O_{2} \) only
B. \( N O_{2}^{+} \) and \( B a O_{2} \)
c. \( K O_{2} \) and \( A l O_{2}^{-} \)
D. \( B a O_{2} \) only
| 1 |
Chemistry
|
If both \( \alpha, \beta \) and \( 6 x^{2}+11 x+3=0 \) are
real roots of the equation then
A. both \( \cos ^{-1} \alpha \) and \( \cos ^{-1} \beta \) are real
B. both \( \operatorname{cosec}^{-1} \alpha \) and \( \cos ^{-1} \beta \) are real
C. both \( \cot ^{-1} \alpha \) and \( \cot ^{-1} \beta \) are real
D. none of these
| 2 |
Maths
|
A person standing between a pair of tall and wide cliffs claps his hands. He hears the first two echoes at 2 sec and 3
sec respectively. If the speed of sound is \( 330 \mathrm{m} / \mathrm{sec}, \) then
A. Separation between the cliffs is \( 825 \mathrm{m} \)
B. The time of third echo is 5 second
C. every third echo is the loudest
D. after the second echo,none is formed
| 3 |
Physics
|
\( \frac{x}{x} \)
| 1 |
Chemistry
|
What is true for E. coli with lac-z gene?
A. They cannot synthesize permease.
B. They cannot synthesize functional beta galactosidase.
C. They cannot synthesize transacetylase.
D. They cannot transport lactose from the medium into the cell.
| 0 |
Biology
|
Mass of a planet is \( 5 \times 10^{24} \mathrm{kg} \) and
radius is \( 6.1 \times 10^{6} \mathrm{m} . \) The energy
needed to send a 2 kg body into space from its surface, would be.
A. 9 joule
B. 18 joule
C. \( 2.2 \times 10^{8} \) joule
D. \( 1.1 \times 10^{8} \) joul
| 3 |
Physics
|
A perfectly reflecting mirror has an area
of \( 1 \mathrm{cm}^{2} \). Light energy is allowed to fall
on it for \( 1 h \) at the rate of \( 10 W / c m^{2} . \) The force that acts on the mirror is:
В. \( 6.7 \times 10^{-8} N \)
\( \mathrm{c} \cdot 1.34 \times 10^{-7} \mathrm{N} \)
D. 2.4 \( \times 10^{-4} N \)
| 3 |
Physics
|
How does the internal energy of the system change?
A. Increases
B. Decreases
c. Remains Same
D. cannot be predicted
| 1 |
Chemistry
|
State the following statement is True or
False
If the starting and end points of a vector are collinear, it is known as a unit
vector
A. True
B. False
| 2 |
Maths
|
A \( 10 V \) cell of negligible internal
resistance is connected in parallel
across a battery of emf \( 200 \mathrm{V} \) and
internal resistance \( 38 \Omega \) as shown in the
figure. Find the value of current in the
circuit.
| 3 |
Physics
|
Find union of \( A \) and \( B \) by representing
using Venn diagram:
\( \boldsymbol{A}=\{1,2,3,4,8,9\}, B=\{1,2,3,5\} \)
\( \mathbf{A} \cdot\{1,2,3,4,5,8,9\} \)
B . \{1,2,3\}
\( \mathbf{c} \cdot\{1,2,3,4,8,9\} \)
D. None of these
| 2 |
Maths
|
Choose the quadratic equation in \( \boldsymbol{p} \)
whose solutions are 1 and 7
A \( \cdot p^{3}-p x+6=0 \)
B . \( p^{2}-p x+6=0 \)
c. \( p^{2}-8 p+7=0 \)
D. \( p^{2}-5 p+7=0 \)
| 2 |
Maths
|
Complete hydrolysis of starch gives:
A. glucose and galactose in equimolar amounts
B. galactose and fructose in equimolar amounts
c. glucose only
D. glucose and fructose in equimolar amount
| 1 |
Chemistry
|
Which one of the following reactions is not associated with the Solvay process of manufacture of sodium carbonate?
A \( . \) NaCl \( +N H_{4} C O_{3} \rightarrow N a H C O_{3}+N H_{4} C l \)
в. 2 NaOH \( +C O_{2} \rightarrow \) Na\( _{2} \) CO \( _{3}+H_{2} \) O
c. \( 2 N a H C O_{3} \rightarrow N a_{2} C O_{3}+H_{2} O+C O_{2} \)
D. \( N H_{3}+H_{2} C O_{3} \rightarrow N H_{4} H C O_{3} \)
| 1 |
Chemistry
|
State Henry's law.
| 1 |
Chemistry
|
Name the anomalous pairs
| 1 |
Chemistry
|
Atomic hydrogen is used as:
A. rocket propolent
B. liquid fule
C. fire extinguisher
D. none of these
| 1 |
Chemistry
|
Let \( \omega=-\frac{1}{2}+i \frac{\sqrt{3}}{2}, \) then the value of the
determinant
\( \left|\begin{array}{ccc}1 & 1 & 1 \\ 1 & -1-\omega^{2} & \omega^{2} \\ 1 & \omega^{2} & \omega^{4}\end{array}\right|, \) is
This question has multiple correct options
\( A .3 \omega \)
В. \( 3 \omega(\omega-1) \)
\( c \cdot 3 \omega^{2} \)
D. \( 3(-2 \omega-1) \)
| 2 |
Maths
|
The diagram gives information about
blood pressures in various parts of the circulatory system during the cardiac cycle. At which point \( a, b, c \) or \( d, \) does
the semi-lunar valve of the aorta close?
\( A \)
B.
\( c \cdot d \)
\( D \)
| 0 |
Biology
|
If the centroid of the tetrahedron
\( O A B C, \) where \( A, B, C \) are given by \( (\alpha, 5,6),(1, \beta, 4),(3,2, \gamma) \) respectively
be \( 1,-1,2, \) then value of \( \alpha^{2}+\beta^{2}+\gamma^{2} \)
equals
A \( \cdot \alpha^{2}+\beta^{2} \)
B. \( \gamma^{2}+\beta^{2} \)
c. \( \alpha^{2}+\gamma^{2} \)
D. None of these
| 2 |
Maths
|
Dolly sheep was obtained by
A. Cloning the udder cell (somatic cell) fused with 6 enucleated oocyte
B. Cloning of gametes
C. Tissue culture
D. None of the above
| 0 |
Biology
|
Ethyl mercaptan is prepared by the reaction of the following, followed by hydrolysis:
A \( \cdot C_{2} H_{5} M g B r+S O_{2} \)
B. \( C_{2} H_{5} M g B r+S \)
c. \( C_{2} H_{5} M g B r+C S_{2} \)
D. \( C_{2} H_{5} M g B r+H_{2} S \)
| 1 |
Chemistry
|
If \( \boldsymbol{A}=[\mathbf{1}], \) then the order of the matrix
is
\( \mathbf{A} \cdot 1 \times 1 \)
в. \( 2 \times 1 \)
c. \( 1 \times 2 \)
D. None of these
| 2 |
Maths
|
ff \( \boldsymbol{A}=\left[\begin{array}{cc}\boldsymbol{6} & \boldsymbol{2} \\ \boldsymbol{5} & \boldsymbol{-} \boldsymbol{4}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{cc}\mathbf{1} & \boldsymbol{2} \\ -\boldsymbol{5} & \boldsymbol{1}\end{array}\right], \) find
a matrix \( X \) such that \( 2 A+3 B- \)
\( \mathbf{5} \boldsymbol{X}=\mathbf{0} \)
| 2 |
Maths
|
Value of the determinant \( \left|\begin{array}{ccc}\boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z} \\ \boldsymbol{p} & \boldsymbol{q} & \boldsymbol{r} \\ \boldsymbol{y} \boldsymbol{z} & \boldsymbol{z} \boldsymbol{x} & \boldsymbol{x} \boldsymbol{y}\end{array}\right| \)
is equal to
A \( \cdot x^{p}\left(z^{2}-y^{2}\right)+q y\left(x^{2}-z^{2}\right)+r z\left(-x^{2}+y^{2}\right) \)
В . \( x^{p^{p}\left(z^{2}-y^{2}\right)+q y\left(x^{2}-z^{2}\right)+r z\left(x^{2}-y^{2}\right)} \)
C. \( x^{p}\left(z^{2}-y^{2}\right)+q y\left(-x^{2}+z^{2}\right)+r z\left(-x^{2}+y^{2}\right) \)
D.
| 2 |
Maths
|
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(\frac{\mathbf{3} \boldsymbol{x}+\boldsymbol{4}}{\mathbf{2} \boldsymbol{x}-\mathbf{3}}\right) \)
A \( \cdot \frac{17}{(2 x-3)^{2}} \)
B \( \cdot \frac{1}{(2 x-3)^{2}} \)
c. \( \frac{-1}{(2 x-3)^{2}} \)
D. \( \frac{-17}{(2 x-3)^{2}} \)
| 2 |
Maths
|
The formula of the complex tris (ethylene diamine) cobalt (III) sulphate is:
A \( \cdot\left[\operatorname{Co}(e n)_{2} S O_{4}\right] \)
в. \( \left[\operatorname{Co}(e n)_{3} S O_{4}\right] \)
\( ^{\mathbf{c}}:\left[C o(e n)_{3}\right]_{2} S O_{4} \)
D \( \cdot\left[C o(e n)_{3}\right]_{2}\left(S O_{4}\right)_{3} \)
| 1 |
Chemistry
|
If \( \boldsymbol{\alpha} \boldsymbol{\epsilon}\left(\mathbf{0}, \frac{\boldsymbol{\pi}}{\mathbf{2}}\right), \) then the value of
\( \tan ^{-1}(\cot \alpha)-\cot ^{-1}(\tan \alpha)+ \)
\( \sin ^{-1}(\sin \alpha)-\cos ^{-1}(\cos \alpha) \) is equal to
A \( .2 \alpha \)
B . \( \pi+\alpha \)
\( c \cdot 0 \)
D. \( \pi-2 \alpha \)
| 2 |
Maths
|
Assertion
Tyrosine behave as a acidic at \( \boldsymbol{p} \boldsymbol{H}=\mathbf{7} \)
Reason
\( p K_{a} \) of phenol is more than 7
Select the correct option.
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
|
A cricket ball of mass 120 g is moving with a velocity of \( 12 m s^{-1} \), it turns back
and move with a velocity of \( 20 m s^{-1} \) when hit by a bat. Find the impulse and the force, if the force acts for 0.02 s.
| 3 |
Physics
|
Assertion
Galvanized iron does not rust.
Reason
Zn has a more negative electrode
potential than Fe.
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
|
A body of mass 5 kg undergoes a change in speed from 20 to \( 0.20 \mathrm{m} / \mathrm{s} \)
The momentum of the body would
A. increase by \( 99 \mathrm{kg} \mathrm{m} / \mathrm{s} \)
B. decrease by \( 99 \mathrm{kg} \mathrm{m} / \mathrm{s} \)
c. increase by \( 101 \mathrm{kg} \mathrm{m} / \mathrm{s} \)
D. decrease by \( 90 \mathrm{kg} \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
Light of wavelength 520 mm passing
through a double slit, produces
interference pattern of relative intensity
versus angular position \( \theta \) as shown in the figure. Find the separation
between the slits.
| 3 |
Physics
|
A steel wire of length \( 60 \mathrm{cm} \) and area of
\( \operatorname{cross} \operatorname{section} 10^{-6} m^{2} \) is joined with an
aluminium wire of length \( 45 \mathrm{cm} \) and
area of cross section \( 3 \times 10^{-6} m^{2} . \) The
composite string is stretched by a tension of \( 80 N . \) Density of steel is
\( 7800 k g m^{-3} \) and that of aluminium is
\( 2600 k g m^{-3} . \) The minimum frequency of tuning fork, which can produce standing wave in it with node at the joint is
A. \( 357.3 \mathrm{Hz} \)
В. \( 375.3 \mathrm{Hz} \)
\( \mathbf{c} .337 .5 \mathrm{Hz} \)
D. \( 325.5 \mathrm{Hz} \)
| 3 |
Physics
|
The girth of the stem or root increases
due to?
A. Apical meristem
B. Cambium
c. Inter catary meristem
D. Epidermis
| 0 |
Biology
|
Zener-diode is used in.
A. Amplification
B. Rectification
C. Oscillator in producing oscillations
D. Volatge regulation
| 3 |
Physics
|
\( O \) is the centre of the circle. If chord \( A B \)
chord \( C D, \) then value of \( x \) is equal to
4.70
3.50
\( c \cdot 55 \)
) . 45
| 2 |
Maths
|
Which of the following represents type(s) of environmental pollution
A. Air pollution
B. water pollution
c. soil pollution
D. All of the above
| 1 |
Chemistry
|
\( \ln C_{3} \) plants, the first stable product of photosynthesis during dark reaction is
A. 3-phosphoglyceric acid
B. Phosphoglyceraldehyde
c. Malic acid
D. Oxaloacetic acid
| 0 |
Biology
|
Carbon atoms in compound \( \left(C N_{4}\right) C_{2} \)
are:
A. sp hybridizes
B \( \cdot s p^{2} \) hybridized
c. \( s p \& s p^{2} \) hybridized
D. \( s p, s p^{2} \& s p^{3} \) hybridized
| 1 |
Chemistry
|
Select the best statement for the
situation above:
A. This mixture given an optical rotation of zero
B. Will rotate plane polarised light in clockwise direction
C. Will rotate plane polarised light in anticlockwise direction
D. None of the above statement is true
| 1 |
Chemistry
|
Is there any changes in the
hybridisation of \( B \) and \( N \) atoms as a result of the following reaction.
\( \boldsymbol{B} \boldsymbol{F}_{3}+\boldsymbol{N} \boldsymbol{H}_{3} \rightarrow \boldsymbol{F}_{3} \boldsymbol{B}-\boldsymbol{N} \boldsymbol{H}_{3} ? \)
| 1 |
Chemistry
|
In a potato race 20 potatoes are placed in a line at intervals of 4 metres with
the first potato 24 metres from the
starting point. A contestant is required to bring the potatoes back to the starting place one at a time. How far would he run in bringing back all the potatoes?
A . \( 2340 \mathrm{m} \)
B. 2480 m
\( c .2540 \mathrm{m} \)
D. 2230 m
| 2 |
Maths
|
cost of one apple is 3 times the cost of
an orange. If price of 3 apples is 72 then price of 6 oranges will be Rs.
A .24
B. 36 6
c. 48
D. 72
| 2 |
Maths
|
Assertion
A tube light emits white light.
Reason
Emission of light in a tube takes place
at a very high temperature.
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
|
Which of the following is NOT a quadratic polynomial?
\( \mathbf{A} \cdot p(x)=16-4 x \)
в. \( p(x)=13-x \)
C \( \cdot p(x)=12 x^{3}-x \)
D. All of the above
| 2 |
Maths
|
At what depth (in terms of the radius of earth) the acceleration due to gravity will be \( \frac{2 g}{5} ? \)
| 3 |
Physics
|
\( \boldsymbol{f}(\boldsymbol{x})\left\{\begin{aligned}=& \frac{\left|\boldsymbol{x}^{2}-\boldsymbol{x}\right|}{\boldsymbol{x}^{2}-\boldsymbol{x}}, \quad \boldsymbol{x} \neq \boldsymbol{0}, \boldsymbol{x} \neq \mathbf{1} \\=& \boldsymbol{x}=\mathbf{0} \\=-\mathbf{1}, & \boldsymbol{x}=\mathbf{1} \end{aligned} \) Discus \right.
its continuity in \( 0<x \leq 1 \)
This question has multiple correct options
A. continuous at \( x=0 \)
B. dis-continuous at \( x=1 \)
c. dis-continuous at \( x=0 \)
D. continuous at \( x=1 \)
| 2 |
Maths
|
Which of the following has the smallest
size ?
\( \mathbf{A} \cdot I^{-} \)
B. \( S^{2-} \)
\( c \cdot O^{2} \)
D. \( C l \)
| 1 |
Chemistry
|
Find the \( 7^{t h} \) term from the last in the G.P
\( 2,4,8,16, \dots 60 \) terms
| 2 |
Maths
|
\( \sqrt{\sqrt[3]{125+\sqrt{24}}} \) is equal to
\( A \cdot \sqrt{5}-1 \)
B. \( \sqrt{3}+\sqrt{2} \)
c. \( \sqrt{3}+1 \)
D. \( \sqrt{5}+\sqrt{2} \)
| 2 |
Maths
|
Assertion
The bar magnet falling vertically along the axis of the horizontal coil will be
having acceleration less than \( \mathfrak{g} \)
Reason
Clockwise current induced in the coil.
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
|
Solution of \( \boldsymbol{y}^{2} \boldsymbol{x}+\boldsymbol{y}-\boldsymbol{x} \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\mathbf{0} \) is
A \( \cdot \frac{y^{2}}{5}+\frac{y^{2}}{4 x^{2}}=c \)
в. \( \frac{x^{2}}{2}+\frac{x}{y}=C^{\prime} \)
c. \( \frac{y^{2}}{4}+\frac{y^{5}}{5 x^{4}}=c \)
D. \( \frac{x^{2}}{5}+\frac{x^{4}}{4 y^{4}}=c \)
| 2 |
Maths
|
What is the equivalent resistance of the system about \( A \) and \( C ? \)
\( A \)
\( B . r \)
2
\( c \cdot 3 r \)
2
D. \( 2 r \)
| 3 |
Physics
|
Find the value of \( x .\left(\tan ^{-1} x\right)^{2}+ \)
\( \left(\cot ^{-1} x\right)^{2}=\frac{5 \pi^{2}}{8} \)
| 2 |
Maths
|
Construct the graphs of the following
functions.
\( \boldsymbol{y}=(|\mathbf{1}-\boldsymbol{x}|+\mathbf{2})(\boldsymbol{x}+\mathbf{1}) \)
| 2 |
Maths
|
If reactivity for chlorination with \( 1^{\circ} \boldsymbol{H} \)
\( 2^{\circ} H \) and \( 3^{\circ} H \) is 1: 3.8: 4.5
respectively, what is the percentage of
\( (P 2) \) formed:
(closest to the nearest integer of \( \left.\frac{(P 2)}{10}\right) \)
| 1 |
Chemistry
|
If \( \vec{A} \cdot \vec{B}=0, \) the angle between the
vectors \( A \) and \( B \) will be:
A \( \cdot 0^{\circ} \)
B. \( 60^{\circ} \)
\( c \cdot 90^{\circ} \)
\( D \cdot 180^{\circ} \)
| 3 |
Physics
|
The amount of heat required to change \( 1 \mathrm{gm} \) of a substance at its melting point into liquid state without any rise in temperature is called:
A. Latent heat of fusion
B. Latent heat of vaporisation
c. Steam
D. Melting point
| 3 |
Physics
|
Two identical rods \( A \) and \( B \) are of equal
Iengths and at the same temperature.
The rod \( A \) is placed at smooth surface
but \( \boldsymbol{B} \) is placed at rough surface. If the
temperature of both are raised by the
same amount, then :
A. final length of \( A \) is greater than that of \( B \)
B. final length of both are same
c. final length of \( A \) is lesser than that of \( B \)
D. none of the above
| 3 |
Physics
|
Le Chatelier's principle is applicable to what equilibrium.
A. Physical equilibrium.
B. Chemical equilibrium.
c. Both equilibrium.
D. None of these
| 1 |
Chemistry
|
The eccentricity of the conic
represented by the equation \( x^{2}+ \)
\( 2 y^{2}-2 x+3 y+2=0 \) is
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( \frac{1}{2} \)
c. \( \frac{1}{\sqrt{2}} \)
D. \( \sqrt{2} \)
| 2 |
Maths
|
Which one does not belong to Monera?
A. Archaebacteria
B. Slime mould
c. Eubacteria
D. Mycoplasma
| 0 |
Biology
|
The acceleration due to gravity on the planet \( A \) is 9 times the acceleration due to gravity on the planet B. A manjumps to a height of \( 2 \mathrm{m} \) on the surface \( \mathrm{A} \). What is the height of jump by the same person on the plane B?
\( A \cdot 6 m \)
B. 2/9 m
\( c \cdot 2 / 3 m \)
D. 18 m
| 3 |
Physics
|
Based on the following reaction identify alkene \( \boldsymbol{A} \)
\[
A \frac{o_{3} / H_{2} O / Z n}{2 H C H O+}
\]
A \( \cdot C H_{2}=C H-C H=C H_{2} \)
в. \( C H_{3}-C H=C H-C H_{3} \)
\( \mathbf{c} \cdot C H_{2}=C H-C H_{2}-C H_{3} \)
D. None of these
| 1 |
Chemistry
|
Choose the chemical properties of metals and non-metals with reference
to electrochemical nature.
A. Both are reducing agent
B. Both are oxidising agent
C. Metal acts as reducing agent while non metals acts as oxidising agent
D. Non-metal acts as reducing agent while metals acts as oxidising agent
| 1 |
Chemistry
|
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