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Assertion
lonic compounds are generally hard
solids but brittle in nature.
Reason
Brittleness is because to shift in
alignment of its ions.
Hardness is due to the strong forces of
attraction.
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
|
The product of the d.cs of the line which makes equal angles with \( o x, o y, o z \) is
\( \mathbf{A} \cdot \mathbf{1} \)
B. \( \sqrt{3} \)
c. \( \frac{1}{3 \sqrt{3}} \)
D. \( \frac{1}{\sqrt{3}} \)
| 2 |
Maths
|
The total energy of the electron in any orbit of one electron containing species is given by the expression:
A \( \cdot-e^{2} / r^{2} \)
B . \( -n^{2} h^{2} / 2 \pi^{2} Z^{2} e^{4} m \)
c. \( -2 \pi^{2} m Z^{2} e^{4} / n^{2} h^{2} \)
D. \( n h / 2 \pi \)
| 1 |
Chemistry
|
Time alloted for the preparation of an examination by some students is shown in the table. Draw a histogram to show the information.
\( \begin{array}{llll}\operatorname{Time} & \mathbf{6 0}- & \mathbf{8 0 -} & \mathbf{1 0 0}- \\ (\text { minutes }) & \mathbf{8 0} & \mathbf{1 0 0} & \mathbf{1 2 0}\end{array} \)
No. of 14 20 24
| 2 |
Maths
|
Consider following scheme involving oxides and oxy-acids of nitrogen. Out of the following which reactions are
disproportionations?
This question has multiple correct options
A . 2, 10
в. 2,
\( c \cdot 1,1 \)
D. 13,14
| 1 |
Chemistry
|
The IUPAC name of the compound:
A. 5-chloro-4-methyl hept-5-en-1-yne
B. 5-chloro-4-methyl hept-1-en-5-yne
c. 3-chloro-4-methyl hept-2-en-6-yne
D. 3-chloro-4-methyl hept-6-en-2-yne
| 1 |
Chemistry
|
The ratio of magnetic fields due to a bar
magnet at the two axial points \( P_{1} \) and
\( P_{2} \) which are separated from each other
by \( 10 \mathrm{cm} \) is \( 25: 2 . \) Point \( P_{1} \) is situated at
10cm from the centre of the
magnet.Points \( P_{1} \) and \( P_{2} \) are on the
same side of magnet and distance of \( \boldsymbol{P}_{2} \)
from the centre is greater than distance
of \( P_{1} \) from the centre of magnet,then magnetic length is
A. \( 5 \mathrm{cm} \)
B. \( 10 \mathrm{cm} \)
c. \( 15 \mathrm{cm} \)
D. \( 20 \mathrm{cm} \)
| 3 |
Physics
|
In a school, there are 1000 students, out
of which 430 are girls. It is known that out of \( 430,10 \% \) of the girls study in class XII. What is the probability that a student chosen randomly studies in class XII given that chosen student is a girl?
| 2 |
Maths
|
A ray of light is incident on the left vertical face of glass cube of refractive
index \( n_{2}, \) as shown in figure. The plane
of incidence is the plane of the page, and the cube is surrounded by liquid (refractive index \( =\{n\}_{-}\{1\} \) ). What is the
largest angle of incidence \( \theta_{1} \) for which
total internal reflection occurs at the
top surface?
| 3 |
Physics
|
The vapour of a substance behaves as a
gas:
A. below critical temperature
B. above critical temperature
\( \mathbf{c} \cdot \operatorname{at} 100^{\circ} C \)
\( \mathbf{D} \cdot \operatorname{at} 1000^{\circ} C \)
| 1 |
Chemistry
|
Fill in the blanks:A yellow coloured dress would appear to be when viewed through a green filter.
A . black
B. green
c. yellow
D. orange
| 3 |
Physics
|
Find the oxidation number of Oxygen in \( \boldsymbol{C a O} \)
\( A \cdot+1 \)
\( B \cdot+2 \)
\( c \cdot-1 \)
\( D \cdot-2 \)
| 1 |
Chemistry
|
What is the bond angle between \( C l- \)
\( \boldsymbol{O}-\boldsymbol{C l} \) in \( \boldsymbol{C l}_{2} \boldsymbol{O}_{7} ? \)
A \( \cdot 109^{\circ} \)
B. \( 119^{\circ} \)
\( \mathbf{c} \cdot 108^{\circ} 25^{\prime} \)
D. \( 120^{\circ} \)
| 1 |
Chemistry
|
The probability that a man hits a target is \( \frac{3}{4} . \) If tried 5 time, the probability that he will hit the target at least three
times,is
A \( \cdot \frac{918}{10184} \)
B. \( \frac{884}{10244} \)
c. \( \frac{924}{1024} \)
\( D \cdot \frac{848}{1024} \)
| 2 |
Maths
|
For the given experiment, the independent variable is
A. Amount of light
B. Number of water fleas
C. pH of the water
D. Temperature of the water
E. Average heart rate
| 0 |
Biology
|
\( M g_{2} C_{3} \) reacts with water forming
propyne, \( C_{3}^{4-} \) has:
A. two sigma and two pi bonds
B. three sigma and one pi bonds
c. two sigma and one pi bonds
D. two sigma and three pi bonds
| 1 |
Chemistry
|
Compared to the one used on Hiroshima, the Nagasaki bomb was rounder and fatter, so it was called "Fat
Man." The fissile material was
A. plutonium 239
B. plutonium 237
c. uranium 235
D. uranium 239
| 3 |
Physics
|
\( \frac{k}{k} \)
| 3 |
Physics
|
A balloon contains \( 14.0 L \) of air at
760 torr. What will be the volume of the
balloon when it is taken to a depth of
10 \( f t \). in a swimming pool? Assume that the temperature of the air and
water are equal (Density: \( \boldsymbol{H} \boldsymbol{g}=\mathbf{1 3 . 6} \boldsymbol{g} / \boldsymbol{m} \boldsymbol{L} .) \)
A . 11.0
в. 11.3
c. 10
D. 10.8
| 1 |
Chemistry
|
A projectile of mass \( m \) is thrown with
velocity \( v \) making an angle \( 60^{\circ} \) with the
horizontal. Neglecting air resistance, the change in momentum from the
departure A to its arrival at B, along the
vertical direction is :
A \( .2 m v \)
B. \( \sqrt{3} m v \)
\( c \)
D. \( \frac{m v}{\sqrt{3} v} \)
| 3 |
Physics
|
3 Moles of \( \boldsymbol{P} \boldsymbol{C l}_{5} \) kept in 1 L closed vesse
was allowed to attain equilibrium at \( 380 \mathrm{K} \). Calculate the composition of the
mixture at equilibrium, \( \boldsymbol{K}_{c} \)
A \( \cdot\left[P C l_{5}\right]=1.41 M,\left[P C l_{3}\right]=\left[C l_{2}\right]=2.59 M \)
в. \( \left[P C l_{5}\right]=1.41 M,,\left[P C l_{3}\right]=\left[C l_{2}\right]=1.59 M \)
\( \mathbf{c} \cdot\left[P C l_{5}\right]=1.41 M,,\left[P C l_{3}\right]=\left[C l_{2}\right]=5.59 M \)
D \( \cdot\left[P C l_{5}\right]=1.41 M,,\left[P C l_{3}\right]=\left[C l_{2}\right]=9.59 M \)
| 1 |
Chemistry
|
Why are seat belts designed in cars to stretch somewhat in a collision?
| 3 |
Physics
|
Application of a forward bias to a \( \mathrm{p}-\mathrm{n} \)
junction
A. widens the depletion zone
B. increases the potential difference across the depletion
zone
C. increases the number of donors on the n side
D. increases the electric field in the depletion zone.
| 3 |
Physics
|
Construct a quadrilateral \( P Q R S \) with
\( \boldsymbol{P Q}=\mathbf{8} \mathrm{cm}, \boldsymbol{Q} \boldsymbol{R}=\boldsymbol{6} \mathrm{cm}, \angle \boldsymbol{P}= \)
\( \mathbf{6 0}^{\circ}, \angle \boldsymbol{Q}=\mathbf{4 5}^{\circ}, \angle \boldsymbol{R}=\mathbf{6 0}^{\circ} \)
| 2 |
Maths
|
Express dielectric constant in terms of
permittivity of free space?
| 3 |
Physics
|
Which of the following is tetrahedral paramagnetic complex?
A \( \cdot K_{2}\left[P t C l_{4}\right] \)
в. \( K_{2}\left[M n C l_{4}\right] \)
c. \( _{K_{2}}\left[Z n C l_{4}\right] \)
D \( \cdot K_{2}\left[H g l_{4}\right] \)
| 1 |
Chemistry
|
Ethylenediamine displaces \( H_{2} O \) in the
complex \( \left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{3+} \) in three steps.
\[
\left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{3+}+\boldsymbol{3} \boldsymbol{e} \boldsymbol{n} \rightarrow\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{e} \boldsymbol{n})_{3}\right]^{3+}+
\]
\( 6 H_{2} O \)
Stepwise formation constants are
\[
\begin{array}{l}
\log K_{1}=4.34 \\
\log K_{2}=3.31 \\
\log K_{3}=2.05
\end{array}
\]
Overall formation constant is \( \boldsymbol{A} \times \mathbf{1 0}^{\boldsymbol{B}} \)
\( A+B \) is
| 1 |
Chemistry
|
The uniparental reproduction is called reproduction while biparental reproduction is termed reproduction. Higher organisms mostly show reproduction
A. Sexual, asexual, sexual
B. Asexual, sexual, asexual
c. Asexual, sexual, sexual
D. Sexual, asexual, asexual
| 0 |
Biology
|
The value of \( \int e^{\tan ^{-1} x}\left(\frac{1+x+x^{2}}{1+x^{2}}\right) d x \)
is equal to
A. \( x e^{\tan ^{-1} x}+C \)
B. \( x^{2} e^{\tan ^{-1} x}+C \)
c. \( \frac{1}{x} e^{\tan ^{-1} x}+C \)
D. \( x e^{\cot ^{-1} x}+C \)
| 2 |
Maths
|
A particle moves on a given line with a constant speed v. At a certain time it is
at a point \( P \) on its straight line path. 0 is fixed point. Show that \( (\overrightarrow{O P} \times \vec{v}) \) is independent of the position P.
| 3 |
Physics
|
Two parallel chords are drawn on the
same side of the centre of a circle of
radius 20. It is found that they subtend
\( 60^{0} \) and \( 120^{0} \) angles at the centre of the circle. Then the perpendicular distance between the chords is:
\( \mathbf{A} \cdot 5(\sqrt{3}-1) \)
B . \( 10(\sqrt{3}-1) \)
c. \( 10(\sqrt{2}-1) \)
() \( 5(\sqrt{2}-1-1) \)
D. \( 5(\sqrt{3}+1) \)
| 2 |
Maths
|
f \( \boldsymbol{x}=\sin t, \boldsymbol{y}=\sin \boldsymbol{k} \boldsymbol{t} \) satisfies
\( \left(1-x^{2}\right) y_{2}-x y_{1}+A y=0 \) then \( A \) is
Equal to
\( A \cdot k \)
B.
\( \mathbf{c} \cdot k^{2} \)
D. \( 1+k \)
| 2 |
Maths
|
State True or False.
Forest Fires and droughts are man made causes of deforestation
A. True
B. False
| 1 |
Chemistry
|
Three bodies are projected in three different ways: a) vertically up b) vertically down c) horizontally, with same speed from top of a tower. The time taken by the bodies to reach the ground in increasing order would be:
\( \mathbf{A} \cdot t_{b}<t_{a}<t_{c} \)
в. \( t_{c}<t_{a}<t_{b} \)
c. \( t_{b}<t_{c}<t_{a} \)
D \( \cdot t_{a}<t_{b}<t_{c} \)
| 3 |
Physics
|
Two identical balls \( A \) and \( B \) having velocities of \( 0.5 \mathrm{m} / \mathrm{s} \) and \( -0.3 \mathrm{m} / \mathrm{s} \)
respectively collide elastically in one
dimension. The velocities of B and \( A \)
after the collision respectively will be
A. \( 0.3 \mathrm{m} / \mathrm{s} \) and \( 0.5 \mathrm{m} / \mathrm{s} \)
B. -0.5 m/s and 0.3 m/s
c. \( 0.5 \mathrm{m} / \mathrm{s} \) and \( -0.3 \mathrm{m} / \mathrm{s} \)
D. \( -0.3 \mathrm{m} / \mathrm{s} \) and \( 0.5 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
Which of the following is a solution of
\( 2 p+3 q=5 ? \)
A. \( p=-1, q=1 \)
в. \( p=1, q=-1 \)
c. \( p=1, q=1 \)
D. \( p=-1, q=-1 \)
| 2 |
Maths
|
The nucleus \( _{n}^{m} X \) emits \( \alpha \) particle and 2
\( \boldsymbol{\beta} \) particles. The resulting nucleus is:
A \( m-4 \)
\( n-2 \)
В \( \cdot m-6 \)
\( n-4 \)
\( \mathbf{c} \cdot_{n}^{m-6} Z \)
D. \( _{n}^{m-4} X \)
| 3 |
Physics
|
The number of electrons to be removed
from a glass rod in order that it acquires a charge of \( 1 \mu C \) is:
A. \( 6.25 \times 10^{12} \)
B. \( 10^{12} \)
c. \( 6.25 \times 10^{13} \)
D. \( 10^{13} \)
| 3 |
Physics
|
The momentum of a \( 10 \mathrm{kg} \) body moving at \( 36 \mathrm{km} / \mathrm{h} \) is:
A. \( 100 \mathrm{kg} . \mathrm{m} / \mathrm{s} \)
B. 360 kg. m/s
c. \( 3.6 \mathrm{kg}, \mathrm{m} / \mathrm{s} \)
D. 36000 kg.m /s
| 3 |
Physics
|
In the above question, the tension in the
two wires, if the direction of the current
is reversed, keeping the magnetic field the same is
A . 1.0
в. 2.0N
c. 3.0
D. 4.0N
| 3 |
Physics
|
A 60 watt bulb carries a current of \( 5 A \)
Find the total charge passing through it in 1 hour.
A . 2000C
B. \( 1800 \mathrm{c} \)
\( c \cdot 12 c \)
D. 360C
| 3 |
Physics
|
\( X_{2} \) represents halogen molecule. Bond
energy of different halogen molecules will lie in following sequences:
A \( \cdot F_{2}>C l_{2}>B r_{2}>I_{2} \)
В. \( C l_{2}>B r_{2}>F_{2}>I_{2} \)
c. \( I_{2}>C l_{2}>B r_{2}>F_{2} \)
D. \( B r_{2}>F_{2}>I_{2}>C l_{2} \)
| 1 |
Chemistry
|
A satellite is revolving around a planet
in a circuit orbit of radius. ' \( r^{\prime} \) and has
angular momentum \( L \). If it is taken into
a higher orbit of radius \( ^{\prime} \mathbf{4} r^{\prime}, \) the charge
in its angulatr momentum is
A. \( L / 4 \)
B. \( L / 2 \)
c. \( 3 L / 4 \)
D. \( L \)
| 3 |
Physics
|
\( 1 \mathrm{kg} \) of \( \mathrm{NaOH} \) solution contains \( 4 \mathrm{g} \) of NaOH. The approximate concentration
of the solution is:
A. 0.1 molar
B. 0.1 molal
c. decinormal
D. about 0.1 N
| 1 |
Chemistry
|
In a survey it was found that \( 55 \% \) go for jogging \( , 50 \% \) do yoga \( , 42 \% \) do aerobics, \( 28 \% \) do jogging and yoga, \( 20 \% \) do yoga and aerobics, \( 12 \% \) g for jogging and aerobics and \( 10 \% \) do all three. If each
one of them go for at least one of these, then what percentage do exactly one exercise?
A . 40
B . 45
c. 57
D. 50
| 2 |
Maths
|
Assertion
A change in nitrogen base at the third
position of a codon causes change in
the expression of the codon.
Reason
A codon is mostly read by all the three nitrogen bases.
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
|
When \( Z n \) is treated with excess of
NaOH, the product obtained is :
A. \( Z n(O H)_{2} \)
в. \( Z n O H \)
c. \( N a_{2} Z n O_{2} \)
D. none of these
| 1 |
Chemistry
|
A quadratic equation in \( x \) is \( a x^{2}+ \)
\( \boldsymbol{b} \boldsymbol{x}+\boldsymbol{c}=\mathbf{0}, \) where \( \boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c} \) are real
numbers and the other condition is
\( \mathbf{A} \cdot a \neq 0 \)
в. \( b \neq 0 \)
c. \( c \neq 0 \)
\( \mathbf{D} \cdot b=0 \)
| 2 |
Maths
|
Which of the following electronic configuration corresponds to an inert gas?
A \( \cdot 1 s^{1} 2 s^{2} 2 p^{5} \)
B \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} \)
\( \mathbf{c} \cdot 1 s^{2} 2 s \)
D. \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{1} \)
| 1 |
Chemistry
|
To get maximum current in a resistance
of \( 3, \) one can use n rows of m cells (connected in series) connected in parallel. If the total no. of cells is 24 and the internal resistance is 0.5 ohm then:
\( A \cdot m=12, n=2 \)
B. \( m=8, n=3 \)
\( c \cdot m=2, n=12 \)
\( D \cdot m=6, n=4 \)
| 3 |
Physics
|
Zone refining method is used for
refining:
A . \( A l \)
в. \( G e \)
c. \( C u \)
D. \( F e \)
| 1 |
Chemistry
|
IUPAC name of the Wiilkinson's catalyst
\( \left[\boldsymbol{R h C l}\left(\boldsymbol{P} \quad \boldsymbol{P h}_{3}\right)_{3}\right] \)
A. Chlorotris (triphenylphosphine) rhodium (I)
B. Chlorotris (triphenylphosphine) rhodium (IV)
C. Chlorotris (triphenylphosphine) rhodium (0)
D. Chlorotris (triphenylphosphine) rhodium (VI)
| 1 |
Chemistry
|
The set of values of \( p \) for which the
points of extremum of the function,
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}-\boldsymbol{p} \boldsymbol{x}^{2}+\boldsymbol{3}\left(\boldsymbol{p}^{2}-\mathbf{1}\right) \boldsymbol{x}+\mathbf{1} \) lie
in the interval (-2,4) is
A. (-3,5)
в. (-3,3)
c. (-1,3)
D. (-1,5)
| 2 |
Maths
|
Which of the following can be easily oxidized by air?
A \( \cdot C H_{3} C H_{2} O H \)
B \( \cdot C_{2} H_{5} C l \)
с. \( C H_{3} C H O \)
D. \( C H C l_{3} \)
| 1 |
Chemistry
|
\( \int \frac{x \sin ^{-1} x}{\sqrt{1-x^{2}}} d x \)
| 2 |
Maths
|
Number of \( \pi \) bonds in \( \boldsymbol{C} \boldsymbol{H}_{2}=\boldsymbol{C} \boldsymbol{H}- \)
\( \boldsymbol{C H}=\boldsymbol{C H}-\boldsymbol{C H}=\boldsymbol{C H}_{2} \) is
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D. 5
| 1 |
Chemistry
|
Glycosuria is the term used for
A. Loss of glucose in urine
B. Loss of blood in the urine
C. Loss of salts in the urine
D. None of these
| 0 |
Biology
|
The magnetic induction at a distance d
from the magnetic pole of the unknown strength \( m \) is \( B \). If an identical pole is now placed at a distance of \( 2 \mathrm{d} \) from the first pole, the force between the two poles is
A. ms
B. \( \frac{m B}{2} \)
\( \mathbf{c} \cdot \frac{m B}{4} \)
D. 2mB
| 3 |
Physics
|
If the lines given by \( 3 x+2 k y=2 \) and
\( \mathbf{2} \boldsymbol{x}+\mathbf{5} \boldsymbol{y}+\mathbf{1}=\mathbf{0} \) are parallel, then the
value of \( k \) is
A \( \cdot \frac{-5}{4} \)
B. \( \frac{2}{5} \)
c. \( \frac{15}{4} \)
D. \( \frac{3}{2} \)
| 2 |
Maths
|
Small spherical balls, each of diameter \( \mathbf{0 . 6} \mathrm{cm}, \) are formed by melting a solid sphere of radius \( 3 \mathrm{cm} \). Find the number of balls thus obtained.
| 2 |
Maths
|
Predict which of the following reactions would proceed spontaneously at \( 298 \mathrm{K} ? \)
Take \( \boldsymbol{E}_{\boldsymbol{F} e^{2+} / \boldsymbol{F} e}^{\boldsymbol{0}}=-\mathbf{0 . 4 4} \boldsymbol{V} \)
This question has multiple correct options
A \( \cdot \operatorname{Co}(s)+F e^{2+}(a q) \rightarrow\left(C o^{2+}(a q)+F e(s)\right. \)
\[
E_{C o^{+2} / C o}^{\ominus}=-0.28 V
\]
B. \( C d^{2+}(a q)+F e(s) \rightarrow C d(s)+F e^{2+}(a q) \)
\[
E_{C d^{2+} / C d}^{\ominus}=0.4 V
\]
c. \( C d(s)+C o^{2+}(a q) \rightarrow C d^{2+}(a q)+C o(s) \)
\[
E_{F e^{2+} / F e}^{\ominus}=-0.44 V
\]
D. \( Z n^{2+}(a q)+H_{2} \rightarrow Z n(s)+2 H^{\oplus} \)
\[
E_{Z n^{2+} / Z n}^{\ominus}=-0.76 V
\]
| 1 |
Chemistry
|
Which of the following has fractional
bond order?
A \( \cdot O_{2}^{2+} \)
B. \( O_{2}^{2} \)
\( \mathrm{c} \cdot F_{2}^{2} \)
D. \( H_{2}^{-} \)
| 1 |
Chemistry
|
When two resistances \( R_{1} \) and \( R_{2} \) are
connected in series, they consume 12W
power. When they are connected in parallel, they consume 50W power
What is the ratio of the powers of \( \boldsymbol{R}_{1} \)
and \( \boldsymbol{R}_{2} \)
A . \( 1 / 4 \)
B. 4
c. \( 3 / 2 \)
D. 3
| 3 |
Physics
|
It is likely that Ar will form the anion Ar
\( - \). If true enter 1 , else enter 0
| 1 |
Chemistry
|
Among the following which has the highest boiling point?
A \( \cdot C H_{3} C H_{2} \) OH
в. \( C H_{3} C H_{2} C H_{3} \)
\( \mathbf{c} \cdot C H_{2}=C H C H_{3} \)
D. \( C H_{3} O C H_{3} \)
| 1 |
Chemistry
|
Find the zeros of the quadratic
polynomial \( 6 x^{2}-3-7 x \) and verify the
relationship between the zeros and the coefficient of the polynomial.
| 2 |
Maths
|
Process of depositing a thin layer of zinc metal on iron objects is called:
A. rusting
B. corrosion
c. sublimation
D. galvanisation
| 1 |
Chemistry
|
Name the element which serves as the
cathode in the extraction of aluminium.
A. carbon
B. Graphite rods
c. Iron
D. Aluminium
| 1 |
Chemistry
|
A particle is dropped from a height ' \( \boldsymbol{H} \) '.
The de Broglie wavelength of the particle depends on height as
A. \( H \)
B. \( H^{-1 / 2} \)
\( \mathrm{c} \cdot H^{0} \)
D. \( H^{1 / 2} \)
| 3 |
Physics
|
\( \mathbf{F}_{2} \) is better oxidising agent than \( \mathbf{B r}_{2} \). It
is due to:
This question has multiple correct options
A. small size of flourine atom
B. more electron repulsions in flourine
c. higher electronegativity of flourine
D. non-metallic nature of fluorine
| 1 |
Chemistry
|
A man buys eggs at 2 for Rs 1 and an equal number at 3 for \( \operatorname{Rs} 2 \) and sells the whole at 5 for Rs \( 3 . \) His gain or loss
percent is-
A \( \cdot 2 \frac{2}{7} \% \) loss
B \( \cdot 3 \frac{6}{7} \) \% gain
c. \( 3 \frac{2}{7} \) \% loss
D. \( _{2} \frac{6}{7} \) \%
| 2 |
Maths
|
The solution of \( \frac{d y}{d x}+2 y \tan x=\sin x \)
given that \( \boldsymbol{y}=\mathbf{0}, \boldsymbol{x}=\frac{\boldsymbol{\pi}}{\mathbf{3}} \) is
A \( \cdot y=\cos x-2 \cos ^{2} x \)
B . \( y=-\cos x+2 \cos ^{2} x \)
c. \( y=\cos x-\cos ^{2} x \)
D. \( y=2 \cos x-2 \cos ^{2} x \)
| 2 |
Maths
|
Approximate change in the volume V of a cube of side x metres caused by increasing the side by \( 3 \% \) is?
| 2 |
Maths
|
The frequency distribution of the marks
obtained by 100 students in a test carrying 50 marks then the mean is
20- 30 Marks \( \quad \begin{array}{cc}0- & 10- \\ 9 & 19\end{array} \) 29 39
No. of
students 15
20 45
A . 28.3
B . 28
c. 27.3
D. 26.4
| 2 |
Maths
|
Efforts to repeat the cloning of Dolly (the sheep) have been unsuccessful. The scientists who claim to have cloned
Dolly have been challenged to produce additional evidence that Dolly is really derived from an adult cell (an originally claimed), rather than a foetal cell which
might have contaminated the experiment (as the sceplor suggest). Which of the following could provide evidence that Dolly was created from an
adult cell, rather than a foetal cell?
A. Dolly's DNA fingerprints
B. The heterozygosity of random pieces of Dolly's DNA
c. The melting point of Dolly's DNA
D. The length of Dolly's telomeres
| 0 |
Biology
|
Rain drops fall with terminal velocity
due to:
A. Buoyancy
B. Viscosity
c. Low weight
D. surface tension
| 3 |
Physics
|
Verify Rolle's Theorem for the function \( f(x)=e^{x}(\sin x-\cos x) \) on \( \left[\frac{\pi}{4}, \frac{5 \pi}{4}\right] \)
| 2 |
Maths
|
Motion of centre of mass
| 3 |
Physics
|
A closely wound solenoid of 800 turns and area of cross-section \( 2.5 \times 10^{-4} m^{2} \)
carries a current of \( 3.0 A \). Explain the
sense in which the solenoid acts line a
bar magnet. What is its associated
magnetic moment?
\( \mathbf{A} \cdot 6 J / T \)
в. \( 0.9 J / T \)
c. \( 9 J / T \)
D. \( 0.6 J / T \)
| 3 |
Physics
|
In the figure, the radius of the smaller
circle is 3 centimetres, that of the
bigger circle is 6 centimetres and the distance between the centres of the
circles is 15 centimetres. PQ is a
tangent to both the circles. Find its
length.
| 2 |
Maths
|
When a positive integer \( y \) is divided by
\( 47, \) the remainder is \( 11 . \) Therefore, when
\( y^{2} \) is divided by \( 47, \) the remainder will
be
\( A \cdot 7 \)
B. 17
c. 27
D. 37
| 2 |
Maths
|
Which of the following is/are true
statement(s)?
A. Aldehdyes and ketones are polar compounds
B. Many naturally occuring aldehydes and ketones have been used in blending of perfumes and flavouring agents.
C. The ketones are good solvents.
D. All of the above.
| 1 |
Chemistry
|
(a) If a sperm with 'X' chromosome
fertilizes with an ovum with 'X'
chromosome, what will be the gender of
the baby?
(b) Who determines the sex/gender of
the baby, mother or father?
(c) Is it correct to blame the mother for
giving birth to a baby girl?
(d) Are all our characters resembles our
parents?
Mother's Sex Father's Chromosomes Chromosomes
| 0 |
Biology
|
A function \( f \) from the set of natural
numbers to integers defined by \( \boldsymbol{f}(\boldsymbol{n})= \)
\( \left\{\begin{array}{l}\frac{n-1}{2}, \quad \text { when } n \text { is odd } \\ -\frac{n}{2}, \quad \text { when } n \text { is even }\end{array}\right. \)
A. neither one-one nor onto
B. one-one but not onto
c. onto but not one-one
D. one-one and onto both
| 2 |
Maths
|
Calorific value of producer gas is low because of:
A . high percent of \( N_{2} \)
B. low percent of \( C O_{2} \)
C. high percent of \( C O_{2} \)
D. low percent of \( N_{2} \)
| 1 |
Chemistry
|
's
for the nucleophilic addition:
\( \mathbf{A} \)
B.
\( c \)
D.
| 1 |
Chemistry
|
A mother cell disintegrates into 60
identical cells and each daughter cell further disintegrates into 24 smaller cells. The smallest cells are uniform
cylindrical in shape with the diameter
of \( 120 A \) and each cell is \( 6000 A \) long. The density of the smallest cell is 1.12
\( \mathrm{g} / \mathrm{cm}^{3} . \) If the molar mass of the mother cell is \( x \times 10^{10} g, \) find \( x \) (nearest integer).
| 1 |
Chemistry
|
The symbol of fluorine is :
\( A \cdot F \)
B. Fe
\( c \cdot F \)
D. Fu
| 1 |
Chemistry
|
If \( \boldsymbol{A}=\left[\begin{array}{ccc}2 & 52 & 152 \\ 4 & 106 & 358 \\ 6 & 162 & 620\end{array}\right], \) then the
determinant of the matrix \( a d j(2 A) \) is equal to:
| 2 |
Maths
|
The sensitivity of a potentiometer can be increased by
a) increasing the series resistance in the primary circuit
b) decreasing the length of the potentiometer wire
c) using a thin and high resistivity wire as a potentiometer wire
d) increasing the length of the wire
A. a and c are correct
B. b and d are correct
\( c . \) b and c are correct
D. a and d are correct
| 3 |
Physics
|
name two water soluble vitamins, their
sources and the diseases caused due to
their deficiency in diet.
| 1 |
Chemistry
|
If at each point of the curve \( y=x^{3}- \)
\( a x^{2}+x+1, \) the tangent is inclined at
an acute angle with the positive direction of the \( x \) -axis, then
\( \mathbf{A} \cdot a>0 \)
в. \( a \leq \sqrt{3} \)
c. \( -\sqrt{3} \leq a \leq \sqrt{3} \)
D. none of these
| 2 |
Maths
|
Suppose that \( \boldsymbol{f} \) is a differentiable
function with the property that
\( \boldsymbol{f}(\boldsymbol{x}+\boldsymbol{y})=\boldsymbol{f}(\boldsymbol{x})+\boldsymbol{f}(\boldsymbol{y})+\boldsymbol{x} \boldsymbol{y} \) and
\( \lim _{h \rightarrow 0} \frac{1}{h} f(h)=3 \) then
A. \( f \) is a linear function
B \( \cdot f(x)=3 x+x^{2} \)
c. \( f(x)=3 x+\frac{x^{2}}{2} \)
D. None of these
| 2 |
Maths
|
Cyanobacteria are photosynthetic prokaryotes.Which of the following cell structures are absent in cyanobacteria?
I. Cell membrane
II. Nucleus
III. Ribosomes
A. I only
B. II only
c. ॥ only
D. I and II only
E. I and III only
| 0 |
Biology
|
The value of \( \sin ^{-1}\left(x^{2}-4 x+6\right)+ \)
\( \cos ^{-1}\left(x^{2}-4 x+6\right) \) for all \( x \epsilon R \) is
A \( \cdot \frac{\pi}{2} \)
в. \( \pi \)
\( c \cdot 0 \)
D. none of these
| 2 |
Maths
|
Let \( f(x) \) be a real-valued differentiable
function not identically zero such that \( \boldsymbol{f}\left(\boldsymbol{x}+\boldsymbol{y}^{2 n+1}\right)=\boldsymbol{f}(\boldsymbol{x})+ \)
\( \{f(y)\}^{2 n+1}, n \epsilon N \) and \( x, y \) are any real
numbers and \( f^{\prime}(0) \geq 0 . \) Find the value
of \( f(5) \)
A . 0
B. 1
c. 2
D. 5
| 2 |
Maths
|
The sum of the nth term of the
series \( 1.2 .5+2.3 .6+3.4 .7+\ldots . . \) n terms is
| 2 |
Maths
|
Now consider two identical infinite
cylinders, parallel to each other, posed at a distance \( d>2 a \). Find the potential
energy of the system (per unit length)
\( ^{\mathrm{A}} \cdot \frac{-\pi \rho^{2} a^{4}}{2 \epsilon_{0}}\left(\log \frac{d}{a}+0.25\right) \)
\( ^{\mathbf{B}} \cdot \frac{-\pi \rho^{2} a^{4}}{2 \epsilon_{0}}\left(\log \frac{d}{a}+0.5\right) \)
\( ^{\mathbf{C}} \cdot \frac{-\pi \rho^{2} a^{4}}{2 \epsilon_{0}}\left(\log \frac{d}{a}+0.75\right) \)
\( ^{\mathrm{D} \cdot} \frac{-\pi \rho^{2} a^{4}}{2 \epsilon_{0}}\left(\log \frac{d}{a}+1\right) \)
| 3 |
Physics
|
Four particles each of mass \( \mathrm{m} \) are lying symmetrically on rim of disc of mass \( \mathrm{M} \) and radius R. Moment of inertia of this
system about an axis passing through
one of the particles and \( \perp \) to plane of disc is:
| 3 |
Physics
|
Heat is a form of energy.
A. True
B. False
| 3 |
Physics
|
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