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Find the number of sides of a regular polygon whose each exterior angle has a
measure of:
\( 45^{\circ} \) | 2 | Maths |
The point at which the tangent to the
curve \( y=x^{3}+5 \) is perpendicular to
the line \( x+3 y=2 \) are
A. (6,1),(-1,4)
В. (6,1)(4,-1)
c. (1,6),(1,4)
D. (1,6),(-1,4) | 2 | Maths |
Factorise the following: \( (5 x-6 y)^{3}+ \)
\( (7 z-5 x)^{3}+(6 y-7 z)^{3} \)
A. \( 3(5 x-6 y)(7 z-5 x)(6 y-7 z) \)
в. \( (x-6 y)(7 z-x)(y-7 z) \)
c. \( 3(x-6 y)(z+5 x)(8 y-z) \)
D. \( (x-y)(7 z+5 x)(6 y-7 z) \) | 2 | Maths |
In Rutherford's atomic model, the electrostatic force of attraction between
the positively and negatively charged particles is counter balanced by:
A. The centripetal force exerted on the electrons moving in circular path
B. The high velocity of the electrons moving in a circular path
c. The linear movement of the nucleus
D. None of these | 3 | Physics |
\( \boldsymbol{p} \leftrightarrow \boldsymbol{q} \) is equivalent to
\( \mathbf{A} \cdot p \rightarrow q \)
\( \mathbf{B} \cdot q \rightarrow p \)
\( \mathbf{c} \cdot(p \rightarrow q) \vee(q \rightarrow p) \)
D. \( (p \rightarrow q) \wedge(q \rightarrow p) \) | 2 | Maths |
Simplify the following:
\( \left(\frac{1+i}{1-i}\right)^{4 n+1} \)
\( \mathbf{A} \cdot \mathbf{1} \)
B.
c.
D. None of these | 2 | Maths |
Three particles having charges in the
ratio of 2: 3: 5 produce the same point on the photographic film in Thomson
experiment. Their masses are in the ratio of
A .2: 3: 5
B. 5: 3: 2
c. 15: 10: 6
D. 3: 5: 2 | 3 | Physics |
Assertion
The number of unpaired electrons in the
following gaseous ions:
\( M n^{3+}, C r^{3+}, V^{3+} \) and \( T i^{3+} \) are 4,3,2
and 1 respectively.
Reason
Among these \( \mathrm{Cr}^{3+} \) is most stable in
aqueous solution.
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 |
Chlorine has electron in
outer orbit. It needs
electron to become stable.
A. seven, one
B. seven, two
\( c . \) six, two
D. five, three | 1 | Chemistry |
Consider the cell:
\( \boldsymbol{Z} \boldsymbol{n} \mid \boldsymbol{Z} \boldsymbol{n}^{2+}(\boldsymbol{a q})(\boldsymbol{1} . \boldsymbol{0} \boldsymbol{M}) \| \boldsymbol{C u}^{2+}(\boldsymbol{a q}) \)
The standard reduction potential are \( 0.350 \mathrm{V} \) for \( \boldsymbol{C u}^{2+}(\boldsymbol{a q})+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \boldsymbol{C u} \)
and \( -0.763 \mathrm{V} \) for \( \mathrm{Zn}^{2+}(a q)+2 e^{-} \rightarrow \)
\( Z n \)
The EMF (in V) of the cell is (write your answer as nearest integer): | 1 | Chemistry |
The distance between the straight lines \( 5 x+12 y+11=0,5 x+12 y+37=0 \)
is
A .2
B. 3
\( c \cdot 26 \)
D. 48 | 2 | Maths |
What is the name of the strings which vibrate in our voice box when we talk?
A. Oesophagus
B. Pharyngeal slits
c. vocal cords
D. None of these | 3 | Physics |
distance Travelled by an object in 4 th \( \sec \) is twice the distance travelled by it in 2 nd second. If the acceleration of the object
\( 3 m s^{-2} n \) is calculate
(i) its initial velocity
(ii) the distance travelled in 7th second. | 3 | Physics |
A wire elongates by 1 m \( m \) when a load
\( W \) is hung from it. If the wire goes over
a pulley and the two weights \( W \), each are hung at the two ends, then the elongation of the wire will be:
A. \( 0.5 m m \)
в. \( 1 \mathrm{mm} \)
\( \mathbf{c} \cdot 2 m m \)
D. \( 4 m m \) | 3 | Physics |
Given a relation \( \boldsymbol{R}=(\mathbf{1}, \mathbf{2}),(\mathbf{2}, \mathbf{3}) \) on the
set of natural numbers, add a minimum
number of ordered pairs so that the enlarged relation is symmetric, transitive and reflexive. | 2 | Maths |
In the reaction, \( \boldsymbol{C r} \boldsymbol{O}_{\boldsymbol{5}}+\boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \rightarrow \)
\( \boldsymbol{C r}_{2}\left(\boldsymbol{S O}_{4}\right)_{3}+\boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{O}_{2}, \) one mole of
\( C r O_{5} \) will liberate how many moles of
\( O_{2} ? \)
A. \( 5 / 2 \)
B. 5/4
\( c \cdot 9 / 2 \)
D. None of the above | 1 | Chemistry |
Cell organelles are the parts of a living cell. All cells have a cell membrane and
some cells have a cell wall.
Which of the following has a cell wall?
I. Plants
II. Bacteria
III. Fungi
A. I only
B. II only
c. I and II only
D. Il and III only
E. I, II and III | 0 | Biology |
Which of the following voices is likely to have minimum frequency?
A. Baby girl
B. Baby boy
c. A man
D. A woman | 3 | Physics |
Show that:
\( \left(\frac{1+i}{\sqrt{2}}\right)^{8}+\left(\frac{1-i}{\sqrt{2}}\right)^{8}=2 \) | 2 | Maths |
Marshall's acid \( \frac{H_{2} O}{\longrightarrow} A+B \)
\( \boldsymbol{A} \stackrel{\boldsymbol{H}_{2}}{\rightarrow} \boldsymbol{O} \boldsymbol{B}+\boldsymbol{C} \)
If \( P \) and \( Q \) represent a maximum number of atoms that can lie in a plane of compound \( A \) and \( C \) respectively. Then, find the value of \( (\boldsymbol{P}-\boldsymbol{Q}) \) | 1 | Chemistry |
\( \tan ^{-1}\left(\frac{5-x}{6 x^{2}-5 x-3}\right) \) | 2 | Maths |
More than four bonds are made by how many elements in carbon family?
A .
B. 2
\( c .3 \)
D. 4
E. 5 | 1 | Chemistry |
Assertion
The stability of peroxides and
superoxides increases in passing from
Li to CS.
Reason
The electropositive character of the
elements in the periodic table increases
on moving down a group.
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 |
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}} \cot \left(\frac{x}{2}\right)= \) | 2 | Maths |
If two forces \( \boldsymbol{F}_{1}=\mathbf{2} \hat{\mathbf{i}}+\mathbf{4} \hat{\boldsymbol{k}} \boldsymbol{F}_{2}=\mathbf{3} \hat{\boldsymbol{j}}+ \)
\( 2 \hat{k} \) acts on one body and displaces it from (1,0,0) to (2,1,1) find net work done | 3 | Physics |
\( 10^{22} \) particle each of mass \( 10^{-26} \mathrm{Kg} \) are
striking perpendicularly on a wall of \( \operatorname{area} 1 m^{2} \) with speed \( 10^{4} m / s \) in 1 sec
The pressure on the wall if collisions are
perfectly elastic is:
A \( \cdot 2 N / m^{2} \)
в. \( 4 N / m^{2} \)
\( \mathrm{c} \cdot 6 N / m^{2} \)
D. \( 8 N / m^{2} \) | 3 | Physics |
Differentiate between the following pairs on the basis of what is mentioned
in brackets:
Active Transport and Diffusion [significance in plants] | 0 | Biology |
Give the IUPAC name of the following compound | 1 | Chemistry |
Which of the following has highest relative density?
A. water
B. oil
c. mercury
D. glass | 3 | Physics |
Find the values of \( A, B \) and \( C \) in the
following table for the reaction \( X+ \)
\( \boldsymbol{Y} \rightarrow Z . \) The reaction is of first order
w.r.t \( X \) and zero w.r.t. \( Y \)
Exp. \( [\boldsymbol{X}]\left(\boldsymbol{m o l} \boldsymbol{L}^{-1}\right) \quad[\boldsymbol{Y}]\left(\boldsymbol{m o l} \boldsymbol{L}^{-1}\right) \)
1
2
\begin{tabular}{ccc}
0.1 & 0.1 \\
\( A \) & 0.2 \\
0.4 & 0.4 \\
\( C \) & 0.2 \\
\hline
\end{tabular}
3
4
\( \mathbf{A} \cdot A=0.2 \mathrm{mol} L^{-1}, B=8 \times 10^{-2} \mathrm{mol} L^{-1} \mathrm{s}^{-1}, C= \)
\( 0.1 \mathrm{mol} L^{-1} \)
B . \( A=0.4 \) mol \( L^{-1}, B=4 \times 10^{-2} \) mol \( L^{-1} s^{-1}, C= \)
\( 0.2 \mathrm{mol} L^{-1} \)
C \( . A=0.2 \) mol \( L^{-1}, B=2 \times 10^{-2} \) mol \( L^{-1} s^{-1}, C= \)
\( 0.4 \mathrm{mol} L^{-1} \)
D. \( A=0.4 \) mol \( L^{-1}, B=2 \times 10^{-2} \) mol \( L^{-1} s^{-1}, C= \)
\( 0.4 \mathrm{mol} L^{-1} \) | 1 | Chemistry |
Find remainder, if \( f(x)=x^{2}-5 x+6 \) is
divided by \( \boldsymbol{x}-\mathbf{5} \) | 2 | Maths |
At two points separated by a distance of \( 3 \mathrm{cm}, \) the magnetic field strength due to a short magnet on its axial line are in the ratio 512:125. Then the distance of magnet from the first point is:
A. \( 8 \mathrm{cm} \)
B. \( 11 \mathrm{cm} \)
\( c \cdot 4 c m \)
D. 5cm | 3 | Physics |
The oxide of chlorine having the maximum oxidizing power is :
A. \( C l_{2} O_{7} \)
в. \( C l_{2} O_{6} \)
c. \( C l_{2} O \)
D. \( C l O_{2} \) | 1 | Chemistry |
If \( z_{1}=\frac{1}{a+i}, a \neq 0 \) and \( z_{2}= \)
\( \frac{1}{1+b i}, b \neq 0 \) are such that \( z_{1}=\bar{z}_{2} \)
then
В. \( a=1, b=-1 \)
c. \( a=2, b=1 \)
D. \( a=1, b=2 \)
2 | 2 | Maths |
The S.I. unit of pole strength is
A \( . A m^{2} \)
в. \( A m \)
c. \( A m^{-1} \)
D. \( A m^{-2} \) | 3 | Physics |
I. An endothermic reaction process
cannot occur spontaneously.
II. The enthalpy change for an
endothermic process is negative.
A. Statement \( I \) is true, Statement \( I I \) is true
B. Statement I is true, Statement II is false
c. statement \( I \) is false, statement \( I I \) is true
D. Statement I is false, Statement II is false | 1 | Chemistry |
Assertion
Nitrogen in unreactive at room temperature but becomes reactive at elevated temperatures (on heating or in the presence of catalysts).
Reason
In nitrogen molecule, there is extensive delocalisation of electrons.
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 |
The e.m.f. of the cell \begin{tabular}{l|c||c|c}
\( \boldsymbol{P t} \boldsymbol{H}_{2} \) & \( \boldsymbol{H O C N} \) & \( \boldsymbol{A} \boldsymbol{g}^{+} \) \\
\( \boldsymbol{1} \boldsymbol{a} \boldsymbol{t m} \) & \( \boldsymbol{1} . \boldsymbol{3} \times \mathbf{1 0}^{-\boldsymbol{3}} \boldsymbol{M} \) & \( \boldsymbol{0 . 8} \boldsymbol{M} \)
\end{tabular} \mid \( \boldsymbol{A} \boldsymbol{g}(s) \) is
\( 0.982 \mathrm{V} . \) The \( \mathrm{K}_{a} \) for HOCN is :
\( \boldsymbol{A} \boldsymbol{g}^{+}+\boldsymbol{e} \rightarrow \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s}) ; \boldsymbol{E}^{o}=\mathbf{0 . 8 0} \boldsymbol{V} \)
A. \( 3.33 \times 10^{-4} \)
B . \( 2.22 \times 10^{-4} \)
c. \( 4.44 \times 10^{-4} \)
D. \( 1.6 \times 10^{-3} \) | 1 | Chemistry |
A steady current is set up in a metallic wire of nonuniform cross-section How is
the rate of flow of electrons
(R) related
the area of cross-section | 3 | Physics |
If two equal chords of a circle intersect
within the circle, prove that the chords and line joining the point of intersection to the centre makes angles which are
A. Complementary to each other
B. Suplimentary to each other
c. Equal to each other
D. Not equal to each other | 2 | Maths |
Integrate \( : \int \frac{1+\tan x}{x+\log \sec x} d x \) | 2 | Maths |
Which of the following statement is
true?
A. A nylon thread is stronger than a steel wire
B. Rayon is a natural fibre made from wood pulp
C. Cotton is not a polymer
D. Fabric made from polyester can get wrinkles easily | 1 | Chemistry |
reproduction causes greater diversity.
A. Sexual
B. Asexual
c. Both A and B
D. None of the above | 0 | Biology |
Protons are accelerated from rest by a potential difference \( 4 \mathrm{kV} \) and strike a
metal target. If a proton produces one photon on impact of minimum
wavelength \( \lambda_{1} \) and similarly an electron accelerated to \( 4 \mathrm{kV} \) strikes the target
and produces a minimum wavelength
\( \lambda_{2} \) then
A \( \cdot \lambda_{1}=\lambda_{2} \)
B. \( \lambda_{1}>\lambda_{2} \)
\( c \cdot \lambda_{1}<\lambda_{2} \)
D. no such relation can be established | 3 | Physics |
Bile pigments are formed in
A . Liver
B. Spleen
c. Every body partt
D. Both A and B | 0 | Biology |
An AP has the property that the sum of
first ten terms is half the sum of next
ten terms. If the second term is \( 13, \) then
the common difference is
A . 3
B. 2
c. 5
D. 4
E . 6 | 2 | Maths |
Identify the correct pair of characters with reference to Pteris.
(I) Neck canal cell is uninucleated.
(II) Stem grows vertically in the soil.
(III) Apogamously produced sporophytes are haploids.
(IV) Open dichotomous venation in
leaflets.
The correct answer is
\( A \cdot(11),(1 \vee) \)
в. (III), (IV)
c. (।), (॥)
D. (I), (III) | 0 | Biology |
According to Henry's law, the partial
pressure of \( \operatorname{gas}\left(P_{g}^{\prime}\right) \) is directly proportional to mole fraction of gas in
dissolved state, i.e., \( P_{g a s}^{\prime}=K_{H} . X_{g a s} \)
where, \( \boldsymbol{K}_{\boldsymbol{H}} \) is : Henry's constant. Which
are correct?
This question has multiple correct options
A . \( K_{H} \) is characteristic constant for a given gas-solvent system
B. Higher is the value of \( K_{H} \), lower is solubility of gas for given partial pressure of gas
C. \( K_{H} \) has temperature dependance
D. \( K_{H} \) increases with temperature | 1 | Chemistry |
Solve \( 2 x+3 y=11 \) and \( 2 x-4 y=-24 \) | 2 | Maths |
The Young's modulus of a wire of length
\( L \) and radius \( r \) is \( Y \). If the length is
reduced to \( \frac{L}{2} \) and radius is \( \frac{r}{2}, \) then the Young's modulus will be
A \( \frac{Y}{2} \)
в. \( Y \)
\( c .2 Y \)
D. \( 4 Y \) | 3 | Physics |
Given \( \boldsymbol{f}(\boldsymbol{x})=\cos ^{2} \boldsymbol{x}, \) find whether \( \boldsymbol{f}(\boldsymbol{x}) \)
is increasing or decreasing in the range \( \left[0, \frac{\pi}{2}\right] \) | 2 | Maths |
Cells of quiescent centre are characterized by
A. Dense cytoplasm and prominent nuclei
B. Light cytoplasm and small nuclei
c. Dividing regularly to add to the corpus
D. Dividing regularly to add to tunica | 0 | Biology |
If \( 3^{n-2}=\frac{1}{81}, n= \)
A .
B.
\( c \cdot 2 \)
D. -
E. -4 | 2 | Maths |
Degree of \( 1+\left(\frac{d^{2} y}{d x^{2}}\right)^{2}=K\left(\frac{d y}{d x}\right)^{2} \)
\( A \cdot 4 \)
B. 3
\( c \cdot 2 \)
D. | 2 | Maths |
Show that the points
\( \boldsymbol{A}(\mathbf{1}, \mathbf{2}, \mathbf{7}), \boldsymbol{B}(\mathbf{2}, \mathbf{6}, \mathbf{3}) \) and \( \boldsymbol{C}(\mathbf{3}, \mathbf{1 0},-\mathbf{1}) \)
are collinear. | 2 | Maths |
The velocity of a particle executing a
simple harmonic motion is \( 13 m s^{-1} \)
when its distance from the equilibrium position \( (Q) \) is \( 3 m \) and its velocity is
\( 12 m s^{-1}, \) when it is \( 5 m \) away from \( Q \)
The frequency of the simple harmonic motion is:
\( \mathbf{A} \cdot \frac{5 \pi}{8} \)
В. \( \frac{5}{8 \pi} \)
c. \( \frac{8 \pi}{5} \)
D. \( \frac{8}{5 \pi} \) | 3 | Physics |
A swimmer while jumping into water
from a height easily forms a loop in air, if
A. He pulls his arms and leg in
B. He spreads legs and his arms
C . He keeps himself straight
D. His body is so formed | 3 | Physics |
The least value of \( 5^{\sin x+1}+5^{-\sin x+1} \) is
\( \mathbf{A} \cdot \mathbf{5} \)
B. 10
c. 15
D. 11 | 2 | Maths |
Chloroform is kept in brown bottles because:
A. It evaporates easily
B. It reacts with \( C O_{2} \) of the air
c. It easily oxidize to poisonous substance.
D. It absorbs moisture | 1 | Chemistry |
The angles of a triangle are \( (2 x+ \) \( \left.30^{\circ}\right),\left(3 x-110^{\circ}\right) \) and \( \left(\frac{5}{2} x+20^{\circ}\right), \) find
the value of \( x \)
A \( \cdot 16^{\circ} \)
В. \( 32^{\circ} \)
\( c \cdot 40^{\circ} \)
\( D \cdot 50^{\circ} \) | 2 | Maths |
The carbon-based reduction method is
not used for the extraction of :
This question has multiple correct options
A. tin from \( S n O_{2} \)
B. iron from \( F e_{e} O_{3} \)
C. aluminium from \( A l_{2} O_{3} \)
D. magnesium from \( M g C O_{3}, C a C O_{3} \) | 1 | Chemistry |
Who proposed the double helical
structure of the DNA? | 0 | Biology |
\( \boldsymbol{C}_{6} \boldsymbol{H}_{6}+\boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3}+\boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \frac{50^{0}-\boldsymbol{6} \boldsymbol{0}^{0}}{\longrightarrow} \)
\( \boldsymbol{A} \stackrel{\boldsymbol{S n}+\boldsymbol{H} C l}{\longrightarrow} \boldsymbol{B} \frac{\boldsymbol{C H}_{3} \boldsymbol{C O C l}}{\boldsymbol{N}} \boldsymbol{C} \). Then \( \boldsymbol{C} \) is:
A . aniline
B. nitro benzene
c. acetanilide
D. benzedine aniline | 1 | Chemistry |
if \( \sec \theta+\tan \theta=x, \) then what is the
value of \( \sec \theta ? \) | 2 | Maths |
The figure above shows a parallelogram
\( A B C D \) with \( A C=3 \) and \( A D=5 \)
Calculate the area of parallelogram
\( A B C D \)
A . 12
B. 15
c. 18
D. 2 | 2 | Maths |
A solid cylinder of glass whose diameter is \( 1.5 \mathrm{m} \) and height \( 1 \mathrm{m} \) is melted an recasted into a sphere then the radius of the sphere is
\( A \cdot 1 m \)
B. 0.75 \( m \)
c. \( 1.25 \mathrm{m} \)
D. \( 1.5 \mathrm{m} \) | 2 | Maths |
The composition of a sample of Wustite
is \( F e_{0.93} \) O. What is the percentage of
iron present as \( F e^{3+} \) in total iron?
A . \( 15.05 \% \)
B. 25\%
\( c .35 \% \)
D. \( 45 \% \) | 1 | Chemistry |
Which of the following plant's seeds are used as 'Jeweller's weight'?
A. Cajanus cajan
B. Lens culinariss
c. Glycine \( \max \)
D. Abrus precatorius | 0 | Biology |
You are given four sources of light each
one providing a light of a single colour
red, blue, green and yellow. Suppose the
angle of refraction for a beam of yellow light corresponding to a particular
angle of incidence at the interface of
two media is \( 90 . \) Which of the following
statements is correct, if the source of
yellow light is replaced with that of
other lights without changing the angle
of incidence?
A. The beam of red light would undergo total internal reflection.
B. The beam of red light would bend towards normal while it gets refracted through the second medium.
C. The beam of blue light would undergo total internal reflection.
D. The beam of green light would bend away from the normal as it gets refracted through the second medium. | 3 | Physics |
A solution contains \( 75 \mathrm{mg} \) of \( \mathrm{NaCl} \) per mL. To what extent must it be diluted to
give a solution of concentration \( 15 \mathrm{mg} \)
of \( N a C l \) per mL of solution? | 1 | Chemistry |
The angles of triangle are arranged in ascending order of magnitude. If the difference between two consecutive
angles is \( 15^{\circ}, \) find the three angles. | 2 | Maths |
Purine derivative among the bases is:
A. thymine
B. uraci
c. guanine
D. cytosine | 1 | Chemistry |
The capacitance of a capacitor is \( 10 F \)
The potential difference on it is \( 50 V \). If the distance between its plate is halved, What will be the potential difference
now?
\( \mathbf{A} \cdot 100 V \)
в. \( 50 V \)
\( c .25 V \)
D. \( 75 V \) | 3 | Physics |
Ammonia forms a complex ion \( \left[\boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}\right]^{2+} \) with copper ions in
alkaline solutions but not in acidic
solutions. What is the reason for it?
A. Copper hydroxide is an amphoteric substance.
B. In acidic solutions, hydration protects copper ions.
C. In acidic solutions, protons coordinate with ammonia molecules forming \( N H_{4}^{+} \) ions and \( N H_{3} \) molecules are no longer available for co-ordination to metal ions.
D. In alkaline solutions, insoluble \( C u(O H)_{2} \) is precipitated out which is soluble in excess of any alkali | 1 | Chemistry |
How many electrons flow when a current
of 5 amperes is passed through a conductor for 200 seconds?
A \( \cdot 6.25 \times 10^{21} \)
B. \( 6.025 \times 10^{21} \)
c. \( 6.25 \times 10^{22} \)
D. \( 6.025 \times 10^{22} \) | 1 | Chemistry |
The cause of the potential barrier in a \( \mathrm{p} \)
n diode is
A. depletion of positive charges near the junction
B. concentration of positive charges near the junction
c. depletion of negative charges near the junction
D. concentration of positive and negative charges near the junction | 3 | Physics |
This process in which nutrient enriched
water bodies support a dense plant population, which kills animal life by depriving it of oxygen and results in subsequent loss of biodiversity is known as
A. green-house effect
B. eutrophication
c. land pollution
D. none of above | 1 | Chemistry |
Consider the following two statements:
\( P: \) If 7 is an odd number, then 7 is
divisible by 2.
Q: If 7 is a prime number, then 7 is an odd number
If \( V_{1} \) is the truth value of the
contrapositive of \( \mathrm{P} \) and \( V_{2} \) is the truth value of contrapositive of \( Q, \) then the ordered pair \( \left(V_{1}, V_{2}\right) \) equals:
A. \( (F, F) \)
в. \( (T, T) \)
c. \( (T, F) \)
D. \( (F, T) \) | 2 | Maths |
According to Moore's Law:
A. The memory capacity of a chip is constant.
B. The memory capacity of a chip doubles every one and a half-years.
C. The memory capacity of a chip increases by ten times every one and a half-years.
D. The memory capacity of chip decreases with time. | 3 | Physics |
Arrange the following compounds in increasing order of their acid strength:
Propan-1-ol, 2, 3, 6 - trinitrophenol, 3nitrophenol,
3. 5-dinitrophenol, phenol, 4-methyl phenol. | 1 | Chemistry |
Use the following system of naming elements in which first alphabets of the digits are written collectively,
0
2
uni
bi rri quad pent
Write three-letter symbol for the elements with atomic number 106
A . un
B. unh
c. uunhe
D. unhex | 1 | Chemistry |
Result of ozone hole is
A. Green house effect
B. Global warming
C. Acid rain
D. UV radiations reach the earth | 0 | Biology |
In a diode, when there is a saturation
current, the plate resistance will be
A. data insufficient
B. zero
c. some finite quantity
D. infinite | 3 | Physics |
f graphs are possible then, in which of
the following cases external impulse must be acting on the box?
\( \mathbf{A} \)
3.11
\( c \)
\( 0 . v \) | 3 | Physics |
A body is thrown vertically upwards and rises to a height of \( 10 \mathrm{m} \). The velocity with which the body was thrown
upwards is \( \left(g=9.8 m / s^{2}\right) \)
\( A \cdot 10 \mathrm{m} / \mathrm{s} \)
B. 20 \( \mathrm{m} / \mathrm{s} \)
\( c \cdot 14 \mathrm{m} / \mathrm{s} \)
D. none of these | 3 | Physics |
The nature of image of a candle flame located \( 40 \mathrm{cm} \) from a concave spherical mirror is real, inverted and magnified
four times. Then the radius of curvature
of the mirror is:
\( A .32 \mathrm{cm} \)
B. \( 64 \mathrm{cm} \)
c. \( 48 \mathrm{cm} \)
D. \( 80 \mathrm{cm} \) | 3 | Physics |
On chlorination of propane, the number of products of the formula \( C_{3} H_{6} C l_{2} \) is only structural isomers \( ) \)
\( A \cdot 3 \)
B. 4
\( c .5 \)
D. | 1 | Chemistry |
An aeronautical engineer observed that on the upper and lower surfaces of the wings of an aeroplane, the speed of the air are \( 90 m / s \& 72 m / s \) respectively. What is the left on the wing if its area is
\( 3.2 m^{2} \) density of air is \( 0.29 k g / m^{3} \) | 3 | Physics |
Consider the following reaction
\( \boldsymbol{A}+\boldsymbol{B} \rightleftharpoons \boldsymbol{E} ; \boldsymbol{K}_{c}=\mathbf{6} \)
\( \mathbf{2} \boldsymbol{B}+\boldsymbol{C} \rightleftharpoons \mathbf{2} \boldsymbol{D} ; \boldsymbol{K}_{c}=\mathbf{4} \)
What will be the equilibrium constant
\( \left.K_{c}\right) \) for the following reaction? \( \boldsymbol{A}+\boldsymbol{D} \rightleftharpoons \boldsymbol{E}+\frac{\mathbf{1}}{\mathbf{2}} \boldsymbol{C} \) | 1 | Chemistry |
The temperature coefficient of
resistance of a wire is 0.00125 per
degree celcius. At \( 300 K \) its resistance
is 1 ohm. The resistance of the wire will
be 2 ohm at following temperature :-
A . \( 1154 K \)
в. \( 400 K \)
\( c .600 K \)
D. \( 1400 K \) | 3 | Physics |
Statement 1: Novolac is soft and has a
low melting point.
Statement 2: It is highly cross-linked
polymer.
A. Statement 1 is true; statement 2 is true; statement 2 is the correct explanation of statement
B. Statement 1 is true; statement 2 is true; statement 2 is not the correct explanation of statement 1
c. Statement 1 is true; statement 2 is false
D. Statement 1 is false; statement 2 is true | 1 | Chemistry |
The diagrams given below represent the relationship between a mouse and a
physiological process that occurs in
green plants. Study the diagrams and answer the questions that follow:
Why did the mouse die in bell jar \( B \) ? | 0 | Biology |
Which one of the following is responsible for the soil erosion in farms?
A. Rivers and wind work
B. Defective methods of farming
c. Flowing water
D. Moving glaciers | 1 | Chemistry |
The specific resistance \( \rho \) of a circular wire of radius \( r, \) resistance \( R, \) and length
is given by \( \rho=\pi r^{2} R / l . \) Given: \( r= \)
\( \mathbf{0 . 2 4} \pm \mathbf{0 . 0 2 c m}, \boldsymbol{R}=\mathbf{3 0} \pm \mathbf{1 \Omega}, \) and \( \boldsymbol{l}= \)
\( 4.80 \pm 0.01 c m . \) The percentage error in
\( \rho \) is nearly:
A . \( 7 \% \)
в. \( 9 \% \)
c. \( 13 \% \)
D. 20\% | 3 | Physics |
Two small balls \( A \) and \( B \) are made of
same material. \( \boldsymbol{A} \) is solid but \( \boldsymbol{B} \) is
hollow. These are connected by an ideal spring and this whole system is kept
over a smooth plank such that center of mass of two balls coincide with mid
point of the plank. Initially the spring is
compressed by certain amount and the plank is in horizontal position. Now we
release the system. Then:
A. Plank will rotate clock wise
B. Plank will rotate anti clock wise
c. Plank will not rotate
D. It will depend upon string constant | 3 | Physics |
Evaluate the following limits. \( \lim _{x \rightarrow 2}(3-x) \) | 2 | Maths |
Mark the correct alternative of the
following. An angle is double of its supplement. The measure of the angle is?
A \( .60^{\circ} \)
B. \( 120^{\circ} \)
\( c \cdot 40^{\circ} \)
D. \( 80^{\circ} \) | 2 | Maths |
Which of them is a mineral of
lanthanum?
A. Monazite
B. Xenotime
c. Euxenite
D. All of the above | 1 | Chemistry |
If \( f(x)=\frac{x^{3}+x^{2}-16 x+20}{(x-2)^{2}}, \) if \( x \neq 2 \)
\[
=k, \quad \text { if } x=2
\]
is continuous at \( x=0 \) then
\( \mathbf{A} \cdot k=2 \)
B. \( k=0 \)
c. \( k=20 \)
\( \mathbf{D} \cdot k=7 \) | 2 | Maths |
What is the percentage of the total sales of laptop in the state of Haryana and Rajasthan for both the years?
Sales of laptop
A . \( 23.13 \% \)
B . \( 26.54 \% \)
c. \( 27.4 \% \)
D. \( 31.34 \% \) | 2 | Maths |
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