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List the elements of the solution set of
the inequation \( -3<x-2 \leq 9-2 x \)
\( \boldsymbol{x} \in \boldsymbol{N} \)
| 2 |
Maths
|
Find the area of circle in sq. cms, in which the chord of length \( 18 \mathrm{cm} \) is at the distance of half of the radius of circle
from the centre of circle:
A . \( 108 \pi \)
B. \( 54 \pi \)
c. \( 27 \pi \)
D. \( 81 \pi \)
| 2 |
Maths
|
Find the number of 5 letter words that
can be formed using the letter of the
word NATURE that begin with N when repetitions allowed.
| 2 |
Maths
|
Primary circuit of potentiometer is as shown in the diagram. Find potential
drop across the wire AB.
| 3 |
Physics
|
Convert the given measurement into the bigger unit. Then, multiply by the second number and find the products. \( 7 k m 63 m \) and 4
| 3 |
Physics
|
find the coordinate of the tip of the position vector which is equivalent to \( \overrightarrow{A B}, \) where the coordinates of \( A \) and \( B \) \( \operatorname{are}(-1,3) \) and (-2,1) respectively
\( A \cdot(+1,+2) \)
B . (+1,-2)
c. (-1,+2)
D. (-1,-2)
| 2 |
Maths
|
The number of unpaired electrons in
nickel carbonyl is:
A . zero
B. one
c. four
D. five
| 1 |
Chemistry
|
If \( \left(\sin ^{-1} x\right)^{2}+\left(\sin ^{-1} y\right)^{2}+\left(\sin ^{-1} z\right)^{2}= \)
\( \frac{3 \pi^{2}}{4}, \) then find the minimum value of
\( \boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z} \)
| 2 |
Maths
|
Which is an alicyclic compound?
A. benzene
B. cyclohexane
c. pyridine
D. pyrrole
| 1 |
Chemistry
|
Which of the following are isomers?
A. ethane and propane
B. ethane and ethene
c. ethene and ethyne
D. butane and isobutane
| 1 |
Chemistry
|
What percent of length of a wire will
increase by applying a stress of \( 1 k g \)
wt/mm on it.
\( \left[Y=1 \times 10^{11} \mathrm{Nm}^{-2} \text {and } 1 k g w t=9.8 \mathrm{N}\right] \)
A. \( 0.0078 \% \)
в. \( 0.0088 \% \)
c. \( 0.0098 \% \)
D. \( 0.0067 \% \)
| 3 |
Physics
|
What type of wave is represented by density-distance graph?
A. Transverse wave
B. Longitudinal wave
c. water waves
D. Light waves
| 3 |
Physics
|
Rice is now being sold at Rs 30 per \( \mathrm{kg} \)
During last month its rate was Rs26 per
kg. Find by how much percentage must a family reduce its consumption to keep the expenditure fixed?
| 2 |
Maths
|
Typological concept of species was given by
A. Mendel
B. Aristole and Plato
c. John Ray
D. Hutchinson
| 0 |
Biology
|
Six equal capacitors each of
capacitance \( C \) are connected as shown
in the figure. The equivalent
capacitance between points \( A \) and \( B \) is :
A \( .1 .5 \mathrm{c} \)
\( B \)
\( c \cdot 2 c \)
D. \( 0.5 \mathrm{c} \)
| 3 |
Physics
|
Two billiard balls each of mass \( 0.05 k g \)
moving in opposite directions with speed \( 6 m s^{-1} \) collide and rebound with
the same speed. What is the impulse imparted to each ball due to the other?
| 3 |
Physics
|
Current efficiency in electroplating is usually:
A . 99\%
B. 90 to 98\%
c. 70 to \( 80 \% \)
D. 50 to 60\%
| 1 |
Chemistry
|
In the given figure, \( O \) is the centre of
circle, \( \angle A E C=40^{\circ}, \) then find the value
of \( a+b+c \)
| 2 |
Maths
|
A piece of wire \( 22 \mathrm{cm} \) long is bent into the form of an arc of a circle subtending an angle of \( 60^{\circ} \) at its center. Find the radius of the circle \( \left[\boldsymbol{U s e} \boldsymbol{\pi}=\frac{\mathbf{2 2}}{\mathbf{7}}\right] \)
| 2 |
Maths
|
If the points whose position vectors are \( \mathbf{2} \overline{\mathbf{i}}+\overline{\boldsymbol{j}}+\overline{\boldsymbol{k}}, \mathbf{6} \overline{\mathbf{i}}-\overline{\boldsymbol{j}}+\mathbf{2} \overline{\mathbf{k}} \) and \( \mathbf{1 4} \overline{\mathbf{i}}-\mathbf{5} \overline{\mathbf{j}}+ \)
\( p \bar{k} \) are collinear then the value of \( \mathbf{p} \) is
\( A \cdot 2 \)
B. 4
\( c \cdot 6 \)
D. 8
| 2 |
Maths
|
If \( 200 \mathrm{J} \) of heat is added during the time
interval from \( \mathrm{B} \) to \( \mathrm{C} \), the specific heat of
the substance is.
A \( \cdot 200 J / k g^{o} C \)
в. \( 100 \mathrm{J} / \mathrm{kg}^{\circ} \mathrm{C} \)
c. \( 60 J / k g^{o} C \)
D. \( 17 J / k g^{o} C \)
ह \( \cdot 1.67 \mathrm{J} / \mathrm{kg}^{\circ} \mathrm{C} \)
| 3 |
Physics
|
For real \( x, \) the value of expression \( \frac{x^{2}-2 x+2}{2 x-2} \) cannot lis in the interval
A. (infinity,- -1)
B. (-1,1)
c. (1,2)
D. (2, infinity)
| 2 |
Maths
|
\( (x-6)+(3 x-4)+(x-1) \)
| 2 |
Maths
|
Carbon has three isotopes with atomic
mass no.
A \( . \) 10, 11,12 2 1,1,22 ?
B. 13, 14, 15
c. 12,13,14
D. 14,15,16
| 3 |
Physics
|
Assertion
Solids in finely divided state act as
good adsorbents.
Reason
Adsorption is a surface phenomenon.
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 set helps in tearing food?
| 0 |
Biology
|
White phosphorus exists as:
A . \( P \) molecule
B. \( P_{2} \) molecule
c. \( P_{6} \) molecule
D. \( P_{4} \) molecule
| 1 |
Chemistry
|
Out of starch and ferric hydroxide sol which one can easily be coagulated and
why?
| 1 |
Chemistry
|
Which facts are revealed from
Avogadro's law for ideal gases?
This question has multiple correct options
A. The distance between molecules is much large than the actual dimension of molecules
B. Equal number of molecules of different gases under identical conditions of temperatures and pressure occupy the same volume.
C. Saturated vapours obey gas laws
D. 1 mole of a gas contains \( 6.023 \times 10^{23} \) molecules of
gases.
| 1 |
Chemistry
|
In the given figure, the area of \( \triangle A B C \)
is \( 64 \mathrm{cm}^{2} . \) State giving means:
\( \operatorname{ar}(\| \operatorname{gm} A B C D) \)
| 2 |
Maths
|
Two objects \( A \) and \( B \) are moving towards
each other with velocities \( 10 \mathrm{m} / \mathrm{s} \) and
12 \( \mathrm{m} / \mathrm{s} \) respectively as shown. Find the velocity of A with respect to B.
\( \mathbf{A} \)
A. \( 22 \mathrm{m} / \mathrm{s} \)
в. \( -22 \mathrm{m} / \mathrm{s} \)
c. \( 12 m / s \)
D. \( 40 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
In hydrogen bomb we use the process of
A. Fusion
B. Fission
\( c . \) Both (1)\( \&(2) \)
D. None of these
| 3 |
Physics
|
Which of the following non-metal is commonly used as pesticides and photography?
A. Bromine
B. Helium
c. Selenium
D. lodine
| 1 |
Chemistry
|
Find the sixth term in the expansion of
\( \left(2 x^{2}-\frac{3}{7 x^{3}}\right)^{11} \)
A \( \cdot-^{11} C_{5} \frac{2^{6} 3^{5}}{7^{5}} x^{3} \)
В \( \cdot \quad^{11} C_{5} \frac{2^{6} 3^{5}}{7^{5}} x^{-3} \)
c. \( _{-11} C_{5} \frac{2^{6} 3^{5}}{7^{5}} x^{-3} \)
D. None of these
| 2 |
Maths
|
\( \sin \left(\frac{\pi}{2}-x\right)=\cos x \)
| 2 |
Maths
|
Calculate the \( p H \) after the addition of
\( 90 m l \) and \( 100 m l \) respectively of
\( \mathbf{0 . 1} N \) NaOH to
\( 100 m l 0.1 N C H_{3} C O O H \)
(Given \( \left.p K_{a} \text { for } C H_{3} C O O H=4.74\right) \)
| 1 |
Chemistry
|
Consider the situation shown in figure.
The elevator is going up with an acceleration of \( 2.00 m / s^{2} \) and the focal
ength of the mirror is \( 12.0 \mathrm{cm} . \) All the
surfaces are smooth and pulley is light.
The mass-pulley system is released from rest (with respect to the elevator)
at \( t=0 \) when the distance of \( B \) from
the mirror is \( 42.0 \mathrm{cm} \). Find the distance
between the image of the block \( B \) and
the mirror at \( t=0.200 s . \) Take \( g= \)
\( 10 m / s^{2} \)
| 3 |
Physics
|
A person decides to use his bath tub
water to generate electric power to run a 40 watt bulb. The bath tub is located at a height of \( 10 \mathrm{m} \) from the ground \& it
holds 200 litres of water. If we install a
water driven wheel generator on the
ground, at what rate should the water
drain from the bath tub to light bulb? How long can we keep the bulb on, if the bath tub was full initially? The
efficiency of generator is \( 90 \% .(g= \)
\( 10 m / s^{-2} \)
| 3 |
Physics
|
Shape of \( S e O_{2} \) molecule is
A. Triangular
B. Angular
c. Linear
D. pyramidal
| 1 |
Chemistry
|
If there is a nonzero net force acting on an object for some time, which of the following must be true?
I. The object is gaining kinetic energy
II. The object experiences displacement
III. There is work being done on the object
A. I only
B. I and II only
c. I and III only
D. Il and III only
E . I, II, and III
| 3 |
Physics
|
A point charge \( q \) is rotated along a circle in the electric field generated by another point charge \( Q \). The work done by the electric field on the rotating charge in one complete revolution
is
A . zero
B. positive
c. negative
D. zero if the charge \( Q \) is at the center and nonzero otherwise
| 3 |
Physics
|
State the laws of refraction. What is the
meaning of "the refractive index of crown glass is \( 1.52 " ? \)
| 3 |
Physics
|
Resistance and conductivity of a cell containing \( 0.001 \mathrm{M} \) KCl solution at 298
\( \mathrm{K} \) are \( 1500 \Omega \) and \( 1.46 \times 10^{-4} \mathrm{S.cm}^{-1} \)
respectively. What is the cell constant?
\( \mathbf{A} \cdot 0.219 \mathrm{cm}^{-1} \)
B. \( 0.319 \mathrm{cm}^{-1} \)
c. \( 0.419 c m^{-1} \)
D. None of these
| 1 |
Chemistry
|
The value of \( \Delta \) S is negative for the
process
A. Burning of rocket fuel
B. Dissolution of sugar
C. Sublimation of iodine
D. Freezing of water
| 1 |
Chemistry
|
A uniform rod \( A B \) which is free to swing
in the vertical plane about a horizontal axis through \( A, \) is hanging freely. \( A \) particle of equal mass strikes the rod
with a velocity \( V_{0} \) and gets stuck to it.Find the angular velocity of the combination immediately after the
collision.
| 3 |
Physics
|
Atomic reactor is based on
A. controlled chain reaction
B. uncontrolled chain reaction
c. nuclear fission
D. nuclear fusion
| 3 |
Physics
|
For maintaining sustained chain
reaction, the following is required
A. protons
B. electrons
c. neutrons
D. positrons
| 3 |
Physics
|
Which is the correct representation of
the net force \( f_{n e t} \) on the mass?
(k is the constant of oscillation and \( x \) is
the displacement about the mean
position)
A \( \cdot f_{n e t}=-k x+b v \)
B. \( f_{n e t}=k x+b v \)
C \( \cdot f_{n e t}=-k x-b v \)
\( \mathbf{D} \cdot f_{n e t}=k x-b v \)
| 3 |
Physics
|
Assertion
Colloidal solutions are stable but
colloidal particles do not settle down.
Reason
Brownian movement counters the force
of gravity actively on colloidal particles.
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
|
Explain the phenomenon of total internal reflection with one or two
activities.
| 3 |
Physics
|
If \( \mathbf{A}=\left[\begin{array}{ll}\mathbf{1} & \mathbf{2} \\ \mathbf{0} & \mathbf{3}\end{array}\right] \) and \( \mathbf{B}=[\mathbf{3}-\mathbf{1}], \) then
\( \mathbf{B A}= \)
A. \( \left[\begin{array}{ll}3 & 0 \\ 0 & 3\end{array}\right] \)
B. \( \left[\begin{array}{ll}3 & 0\end{array}\right] \)
\( \begin{array}{ll}\text { c. }[3 & 3]\end{array} \)
D. \( [0-3] \)
| 2 |
Maths
|
The acceleration due to gravity on the moon is one sixth that on the earth. \( A \)
high jumper canjump \( 2 \mathrm{m} \) on earth. What distance can he jump on the moon?
\( A \cdot 2 m \)
B. \( 6 \mathrm{m} \)
\( c \cdot 12 m \)
D. 18
| 3 |
Physics
|
Two communicable diseases prevalent in developing countries caused by unsafe drinking water and bad sanitation are
A. Acute diarrhoea and cancer
B. Diarrhoea and schistosomiasis
c. onchocerciasis and leukaemia
D. Rheumatism and malaria
| 0 |
Biology
|
The nature of the chemical bond in MgO
is:
A. electrovalent
B. covalent
c. dative
D. polar covalent
| 1 |
Chemistry
|
The reaction \( : 2 A \rightarrow 2 B+C \) occurs by
the mechanism:
\( \boldsymbol{A} \stackrel{\boldsymbol{k}_{1}}{\longrightarrow} \boldsymbol{B}+\boldsymbol{x}(\boldsymbol{s} \boldsymbol{l} \boldsymbol{o} \boldsymbol{w}) \)
(1)
\( \boldsymbol{x} \stackrel{\boldsymbol{k}_{2}}{\longrightarrow} \boldsymbol{B}+\boldsymbol{C}(\text {fast}) \)
(2)
Which of the following step is incorrect?
A. molecularity of the reaction is one
B. the order of the reaction with respect to A is two
C . the rate law is : \( v=k_{1}[A] \)
D. \( k_{2}>k_{1} \)
| 1 |
Chemistry
|
A tuning fork of unknown frequency makes three beats per second with a
standard fork of frequency 384 Hz. The beat frequency decreases when a small piece of wax is put on a prong of the first fork. What is the frequency of this fork ? \( (\text { in } \mathrm{Hz}) \)
| 3 |
Physics
|
If \( \Delta H_{f}^{o}\left(N H_{3}\right)=-46.1 k J \) and \( \Delta H^{o} \)
of the reaction \( N_{2} H_{4}(g) \rightarrow \)
\( 2 N H_{3}(g) i s-187.6 k J, \) then
\( \Delta H_{f}^{o}\left(N_{2} H_{4}\right) \) is:
A. \( -95.4 k J \)
в. \( +95.4 k J \)
c. \( -141.5 k J \)
D . \( -233.7 k J \)
| 1 |
Chemistry
|
(a) Give two names of artificial
sweeteners.
(b) Give definition of antibiotic and one
example
(c) Give definition of antihistamine
drug with name and uses.
| 1 |
Chemistry
|
Choose the correct answers from the
alternatives given. \( \frac{1}{x-1}-\frac{1}{x+1}-\frac{2}{x^{2}+1}-\frac{4}{x^{4}+1} \)
be equal to
A \( \cdot \frac{4}{x^{4}-1} \)
в. \( \frac{4}{x^{4}+1} \)
c. \( \frac{8}{x^{8}-1} \)
D. \( \frac{8}{x^{8}+1} \)
| 2 |
Maths
|
toppr
-०६
Q Type your question
the object's velocity as a function of
time. The data points are shown on the
graph below, along with a best-fit line that has been inserted to extrapolate data for the entirety of the object's
motion.
In using the graph to analyze the object's motion, several different
quantities about the best fit line can be
calculated.
Which quantities would be equal to the object's initial velocity, and to the object's displacement, during its slowing motion?
A. Initial Velocity: Slope
Displacement: Area under line
B. Initial Velocity: x-intercept
Displacement: Slope
c. Initial Velocity: y-intercept
Displacement: Area under line
D. Initial Velocity: Slope
Displacement: y-intercept
| 3 |
Physics
|
The prefixes \( n a n o(n), m i c r o(\mu) \) and pico \( (p) \) are often used with units.
Which row shows their correct values?
A \( \cdot n=10^{-6}, \mu=10^{-9}, p=10^{-12} \)
B . \( n=10^{-6}, \mu=10^{-12}, p=10^{-9} \)
C \( . n=10^{-9}, \mu=10^{-6}, p=10^{-12} \)
D . \( n=10^{-12}, \mu=10^{-9}, p=10^{-6} \)
| 3 |
Physics
|
The de Broglie wavelength \( (\lambda) \) associated with a photoelectron varies
with the frequency ( \( v \) ) of the incident
radiation as, \( \left[v_{0} \text { is thrshold frequency }\right] \)
A \( \cdot \lambda \propto \frac{1}{\left(v-v_{0}\right)^{\frac{3}{2}}} \)
B. \( \lambda \propto \frac{1}{\left(v-v_{0}\right)^{\frac{1}{2}}} \)
c. \( a \lambda \propto \frac{1}{\left(v-v_{0}\right)^{\frac{1}{4}}} \)
D. \( \lambda \propto \frac{1}{\left(v-v_{0}\right)} \)
| 3 |
Physics
|
The probability that a number selected at random from the numbers
\( \mathbf{1}, \mathbf{2}, \mathbf{3} \dots \dots \mathbf{1 5} \) is a multiple of \( \mathbf{4} \) is
A \( \cdot \frac{4}{15} \)
в. \( \frac{2}{15} \)
c. \( \frac{1}{15} \)
D.
| 2 |
Maths
|
Name the disease in which there is
reduced renal reabsorption of water with consequent elimination of a large volume of very dilute urine.
| 0 |
Biology
|
Out of 48 cricket matches between
India and England, India won toss 12 times. How many times England won
toss?
A . 12
B . 24
\( c .36 \)
D. 48
| 2 |
Maths
|
If a rigid body is subjected to two forces \( \vec{F}_{1}=2 \hat{i}+3 \hat{j}+4 \hat{k} \) acting at (3,3,4)
and \( \vec{F}_{2}=-2 \hat{i}-3 \hat{i}-4 \hat{k} \) acting at (1
0, 0) then which of the following is (are)
true?
A. The body maybe in equilibrium
B. The body is under the influence of a torque only
c. The body is under the influence of a single force.
D. The body is under the influence of a force together with torque
| 3 |
Physics
|
what is the ratio of Youngs modulus \( \boldsymbol{E} \)
to shear modulus \( G \) in terms of
poissons ratio?
\( \mathbf{A} \cdot 2(1+\mu) \)
B . \( 2(1-\mu) \)
C \( \cdot \frac{1}{2}(1-\mu) \)
D \( \cdot \frac{1}{2}(1+\mu) \)
| 3 |
Physics
|
A rectangular plot \( 85 ~ m \) long and \( 60 m \)
broad is to be covered with grass leaving \( 5 m \) all around. Find the area to
be laid with grass.
A. 3750 sq. \( \mathrm{m} \)
B. 5750 sq. \( \mathrm{m} \)
c. 4750 sq. \( \mathrm{m} \)
D. 6750 sq.
| 2 |
Maths
|
A particle in SHM has a period of 4 sec.
It takes time \( t_{1} \) to start from mean
position and reach half the amplitude in
another case it takes a time \( t_{2} \) to start
from extreme position and reach half
the amplitude, then
A \( \cdot \frac{t_{1}}{t_{2}}=1 \)
в. \( \frac{t_{1}}{t_{2}}=\frac{1}{2} \)
c. \( \frac{t_{1}}{t_{2}}=2 \)
D. \( \frac{t_{1}}{t_{2}}=3 \)
| 3 |
Physics
|
Structures called beads on string are
A. Nucleosomes
B. Base pairs
c. Genes
D. Nucleotides
| 0 |
Biology
|
Tissue level of organization is found in:
A. Sea cucumber
B. Glass sponge
c. Sea anemone
D. comb jelly
| 0 |
Biology
|
Let \( a, b, c \) are \( 7^{t h}, 11^{t h} \) and \( 13^{t h} \) terms of
non constant AP. If \( a, b, c \) are also in GP, then find \( \frac{\boldsymbol{a}}{\boldsymbol{c}} \)
\( \mathbf{A} \cdot \mathbf{1} \)
B. 2
\( c \cdot 3 \)
D. 4
| 2 |
Maths
|
A point is moving on \( y=4-2 x^{2} \). The \( x \)
coordinate of the point is decreasing at the rate of 5 units per second. Then the rate at which y-coordinate of the point
is changing when the point is at (1,2)
is.
A . 5 units/sec
B. 10 units/sec
c. 15 units/sec
D. 20 units/sec
| 2 |
Maths
|
Benzene sulphonic acid is:
\( A \). basic
B. acidic
c. neutral
D. both A and B
| 1 |
Chemistry
|
In mature mammalian erythrocytes, the respiration is
A. Aerobic
B. Anaerobic
c. Sometimes aerobic and sometimes anaerobic
D. Absent
| 0 |
Biology
|
A saturn year is 29.5 times the earth
year. How far is saturn from the moon
\( (M) \) if the earth is \( 1.5 \times 10^{8} k m \) away
from the sun?
| 3 |
Physics
|
\( \lim _{\boldsymbol{n} \rightarrow \infty} \frac{\mathbf{1}^{\boldsymbol{p}}+\boldsymbol{2}^{\boldsymbol{p}}+\ldots+\boldsymbol{n}^{\boldsymbol{p}}}{\boldsymbol{n}^{\boldsymbol{p}+1}} \) is
A. \( \frac{1}{p+1} \)
B. \( \frac{1}{1-p} \)
c. \( \frac{1}{p}-\frac{1}{p-1} \)
D. \( \frac{1}{p+2} \)
| 2 |
Maths
|
In amphibian, the heart has
A. Two auricles and two ventricle
B. Two auricles and one ventricle
c. one auricle and two ventricles
D. One auricle and one ventricle
| 0 |
Biology
|
In which of the following states is the
potential energy of an electric dipole
maximum?
\( A \)
B.
\( c \)
D.
| 3 |
Physics
|
Assertion
Van der Waals' forces are responsible
for chemisorption.
Reason
High temperature is favorable for chemisorption.
Read the above assertion and reason
and choose the correct option regarding
¡t.
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
|
\( R \)
\( -\square-(A) \)
\begin{tabular}{l}
\( ^{R} \) \\
\hline\( (D \) \\
\( Q \) \\
\( \sqrt{ } \)
\end{tabular}
\begin{tabular}{l}
\( n \) \\
\hline
\end{tabular}
| 3 |
Physics
|
For \( \boldsymbol{r}=\mathbf{0}, \mathbf{1}, \mathbf{2}, \mathbf{3}, \dots, \mathbf{1 0}, \) let \( \boldsymbol{A}_{r}, \boldsymbol{B}_{r}, \boldsymbol{C}_{\boldsymbol{r}} \)
denote respectively the coefficient of \( x^{r} \)
in the expansions of \( (1+x)^{10},(1+x)^{20} \)
and \( (1+x)^{30} . \) Then \( \sum_{r=1}^{10} A_{r}\left(B_{10} B_{r}-\right. \)
\( \left.C_{10} A_{r}\right) \) is equal to
\( \mathbf{A} \cdot B_{10}-C_{10} \)
B . \( A_{10}\left(B_{10}^{2}\right)-C_{10} A_{10} \)
c.
D. \( C_{10}-B_{10} \)
| 2 |
Maths
|
A convex lens forms a real image of a
point object at a distance of \( 50 \mathrm{cm} \) from the convex lens. A concave lens is
placed. \( 10 \mathrm{cm} \) behind the convex lens on the image side. On placed a plane mirror an the image side and facing the concave lens. It is observed that the
final image now coincides with the
object itself. The focal length of the concave lens is:
A. \( 50 \mathrm{cm} \)
B. 20 cm
\( c .40 \mathrm{cm} \)
D. 25 cm
| 3 |
Physics
|
When \( N a N O_{3} \) is heated in a closed
vessel, \( O_{2} \) is liberated and \( N a N O_{2} \) is left behind. At equilibrium:
A. addition of \( N a N O_{2} \) favours reverse reaction
B. addition of \( N a N O_{3} \) favours forward reaction
c. increasing temperature favours forward reaction
D. increasing pressure favours forward reaction
| 1 |
Chemistry
|
If \( S \) is a sample space \( P(A)=\frac{1}{3} P(B) \)
and \( S=A \cup B \) where \( A \) and \( B \) are two
mutually exclusive events, then
\( \boldsymbol{P}(\boldsymbol{A})= \)
A \( \cdot \frac{1}{4} \)
в. \( \frac{1}{2} \)
\( c \cdot \frac{3}{4} \)
D.
| 2 |
Maths
|
The number of incisors, molars, premolars and canines in the buccal cavity is
A. 8,4,8,8
B. 8,4,8,4
c. 4,8,8,8
D. 8,8,8,4
| 0 |
Biology
|
Phalangeal formula of hand of man is
A. 1,2,2,2,2
B. 2, 1,1,1,1
c. 2,3,3,3,3
D. 2, 3, 3, 2, 2
| 0 |
Biology
|
Q Type your question
Which out of the following statements
is incorrect regarding this?
\( =\sqrt{3} \)
\( =11 \)
A. A continuous high osmotic concentration is maintained in region \( \mathrm{P} \), which loads a sieve tube element by passively transporting solute molecules into it
B. R shows the movement of \( H_{2} O \) into sieve tube
elements from nearby xylem vessels by osmosis
C. Translocation of organic solutes take place from region P with high turgor pressure to region Q with low turgor pressure
D. In region \( Q \), material is either consumed or is converted into insoluble storage forms resulting in decreased osmotic pressure
| 0 |
Biology
|
Using elementary tansormations, find
the inverse of each of the matrices, if it
exists in \( \left[\begin{array}{ll}2 & 1 \\ 7 & 4\end{array}\right] \)
| 2 |
Maths
|
Find the inverse of the following matrix by using elementary row transformation
\( \left[\begin{array}{lll}0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1\end{array}\right] \)
| 2 |
Maths
|
Which of the following acid occurs in polymeric form?
A. \( H P O_{3} \)
в. \( H_{4} P_{2} O_{7} \)
c. \( H_{3} P O_{4} \)
D. none of these
| 1 |
Chemistry
|
Find the particular solution of the differential equation \( \left(1+x^{2}\right) \frac{d y}{d x}= \)
\( \left(e^{m \tan ^{-1 x}}-y\right), \) given that \( y=1 \) when \( x= \)
0
| 2 |
Maths
|
In which of the following reactions the inversion of configuration takes place?
(I) pentan\( -2-o l+S O C l_{2} \rightarrow \)
(II) pentan\( -2-o l+C O C l_{2} \longrightarrow \)
(III) pentan \( -2-o l+(A)+S O C l_{2} \)
Pyridine
(IV) pentan\( -2-o l+ \)COCl\( _{2} \stackrel{\text {Pyridine}}{ } \)
\( \mathbf{A} \cdot(I),(I I I) \)
в. \( (I),(I I) \)
c. \( (I I I),(I V) \)
D. \( (I),(I V) \)
| 1 |
Chemistry
|
Assertion
Most amplifiers use common emitter circuit configuration
Reason
Its input resistance is comparatively higher
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 first terms of a G.P. is 1. The sum of
the third and fifth term is \( 90 . \) Find the
common ratio.
| 2 |
Maths
|
Electrons can jump from one orbit to
other orbits. They cannot flow from one
orbit to another
A. True
B. False
| 1 |
Chemistry
|
Which of the following is not a nitrogenous fertilizer?
A. Calcium cyanamide
B. CAN
c. Super phosphate of lime
D. urea
| 1 |
Chemistry
|
The value of the sum \( \sum_{n=1}^{13}\left(i^{n}+i^{n+1}\right) \) where \( i=\sqrt{-1}, \) equals
\( \mathbf{A} \cdot i \)
B . \( i-1 \)
\( c \cdot-i \)
\( D \)
| 2 |
Maths
|
Assertion
Systematics is the branch of biology
that deals with classification of living organisms.
Reason
The aim of classification is to group the
organisms in an orderly manner
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
|
What are the functional groups present in the given compound?
A. Ester and ether
B. Ester and amine
c. Ester and carboxylic acid
D. Ether and carboxylic acid
E. Ether and ketone
| 1 |
Chemistry
|
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