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Assertion
The sum of mole fractions of all the
components of a solution is unity.
Reason
Mole fraction is a temperature
dependent mode of concentration.
Choose 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. Assertion is incorrect but Reason is correct | 1 | Chemistry |
The disease caused due to improper sanitation in public place is
A. Pandemic.
B. Non-communicable.
c. Endemic.
D. None of the above | 0 | Biology |
Name the gas that is produced in the following cases. Action of dilute hydrochloric acid on sodium sulphide. | 1 | Chemistry |
Match the followings in column I with
column II and choose the correct
combination
\( \begin{array}{llll} & \text { Column I } & & \text { Column II } \\ \text { A } & \text { Xylem vessels } & 1 & \begin{array}{l}\text { Store food } \\ \text { materials }\end{array} \\ \text { B } & \begin{array}{l}\text { Xylem } \\ \text { tracheids }\end{array} & \text { 2 } & \begin{array}{l}\text { Obliterated } \\ \text { lumen }\end{array} \\ \text { D } & \text { Xylem fibre } & \text { 3 } & \begin{array}{l}\text { Perforated } \\ \text { plate }\end{array} \\ \text { D } & \begin{array}{l}\text { Xylem } \\ \text { parenchyma }\end{array} & \text { 4 } & \begin{array}{l}\text { Chisel-like } \\ \text { ends }\end{array}\end{array} \)
A \( \cdot A-4, B-3, C-2, D-1 \)
B. A- 3, B- 2, C-1, D-4
C. \( A-2, B-1, C-4, D-3 \)
D. A-1, B-2, C-3, D-4
E. A- \( 3, \) B- 4, C- 2, D- | 0 | Biology |
While representing \( \frac{2}{3} \) on a number line, between which 2 integers does the point
lie?
A. 1 and 2
B. 0 and 1
\( c \cdot 2 \) and 3
D. 1 and 3 | 2 | Maths |
Match the list of noble gas compounds
in column I with their shapes in column
II and mark the appropriate choice.
Column I Column II
(A) \( X e F_{4} \)
(i) Distorted octahedral
(B) \( X e F_{6} \)
(ii) Tetrahedral
(С) \( X e O_{3} \)
(iii) Square planar
(D) \( X e O_{4} \)
(iv) Trigonal pyramidal
\( \mathbf{A} \cdot(A) \rightarrow(i v),(B) \rightarrow(i i i),(C) \rightarrow(i i),(D) \rightarrow(i) \)
B. \( (A) \rightarrow(i),(B) \rightarrow(\text { ii }),(C) \rightarrow(\text { iii), }(D) \rightarrow(i v) \)
C \( \cdot(A) \rightarrow(\text { ii }),(B) \rightarrow(\text { iii }),(C) \rightarrow(i v),(D) \rightarrow(i) \)
\( \mathbf{D} \cdot(A) \rightarrow(\text { iii }),(B) \rightarrow(i),(C) \rightarrow(\text { iv }),(D) \rightarrow(\text { ii }) \) | 1 | Chemistry |
If
A, B are two independent events, \( P(A)=\frac{3}{4} \) and \( P(B)=\frac{5}{8}, \) then
\( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B})= \)
A \( \cdot \frac{3}{32} \)
в. \( \frac{29}{32} \)
c. \( \frac{15}{32} \)
D. \( \frac{5}{32} \) | 2 | Maths |
The sides of a triangle are given as \( a, 2 a+3 \) and \( 3 a-3 . \) If the perimeter is
\( 60 c m, \) find the number smaller side of the triangle. | 2 | Maths |
Find the inverse of the following matrix
by using elementary row
transformation
\( \left[\begin{array}{ccc}2 & 0 & -1 \\ 5 & 1 & 0 \\ 0 & 1 & 3\end{array}\right] \) | 2 | Maths |
According to J. Chadwick,
is not found in
hydrogen atom.
A. neutron
B. electron
c. proton
D. none of the above | 1 | Chemistry |
If the nth term of the A.P is \( 6 n-1 \) find
the \( \boldsymbol{S}_{\boldsymbol{n}} \) | 2 | Maths |
A process is said to be reversible if:
A. the system return to their original states
B. the surroundings return to their original states
C. both the system as well as the surroundings return to their original states
D. neither system nor surroundings return to their original states | 3 | Physics |
One side of a parallelogram is \( 8 \mathrm{cm} \) If the corresponding altitude is \( 6 \mathrm{cm} \) then its area is given by
A \( .24 \mathrm{cm}^{2} \)
B. 36 \( c m^{2} \)
\( c \cdot 40 \mathrm{cm}^{2} \)
D. \( 48 \mathrm{cm}^{2} \) | 2 | Maths |
The number of permutations that can be made out of the letters of the word
"MATHEMATICS" When all vowels come
together is:
A \( \cdot \frac{8 ! 4 !}{2 !} \)
в. \( \frac{8 ! 4 !}{(2 !)^{2}} \)
c. \( \frac{7 ! 4 !}{2 !} \)
D. 7!4! | 2 | Maths |
A stone is dropped into a quiet lake and waves move in circles at the sped of 5
cm/sec.
At that instant, when radius of circular
wave is \( 8 \mathrm{cm}, \) how fast is the enclosed area increasing?
\( \mathbf{A} \cdot 8 \pi \mathrm{cm}^{2} / \mathrm{s} \)
B. \( 80 \pi c m^{2} / s \)
c. \( 6 \pi c m^{2} / s \)
D. \( \frac{8}{3} \pi c m^{2} / s \) | 2 | Maths |
A point charge \( +Q \) is placed just
outside an imaginary hemispherical
surface of radius \( R \) as shown in the
figure. Which of the following statements
is/are correct?
This question has multiple correct options
A. The electric flux passing through the curved surface of the hemisphere is \( -\frac{Q}{2_{\varepsilon_{0}}}\left(1-\frac{1}{\sqrt{2}}\right) \)
B. Total flux through the curved and the flat surface is \( \underline{Q} \)
C. The component of the electric field normal to the flat surface is constant over the surface
D. The circumference of the flat surface is an
equipotential | 3 | Physics |
Explain with well labelled diagram different regions of root and also
explain structure of root hair? | 0 | Biology |
The two straight lines \( a_{1} x+b_{2} y+ \)
\( c_{2}=0 \) and \( a_{2} x+b_{2} y+c_{2} z=0 \) will be
parallel to each other, if
A \( \cdot \frac{a_{1}}{b_{1}}=\frac{a_{2}}{b_{2}} \)
В \( \cdot \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \)
c. \( a_{1} b_{1}=a_{2} b_{2} \)
D. \( a_{1} a_{2}=b_{1} b_{2} \) | 2 | Maths |
Assertion
Oxidation of one molecule of NADH
gives rise to 3 molecules of ATP and
that of one molecule of \( \boldsymbol{F A D H}_{2} \)
produces 2 molecules of ATP.
Reason
The number of ATP molecules
synthesised depends on the nature of the electron donor.
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 |
Assertion
2 is a rational number.
Reason
The square roots of all positive integers
are irrationals.
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 | 2 | Maths |
An ideal solenoid of cross-sectional
\( \operatorname{area} 10^{-4} m^{2} \) has 500 turns per metre.
At the centre of this solenoid, another
coil of 100 turns is wrapped closely around it, if the current in the coil
charges from 0 to \( 2 A \) in 3.14 ms, the
emf developed in the second coil is:
\( \mathbf{A} \cdot 1 m V \)
B. \( 2 m V \)
\( \mathbf{c} .3 m V \)
D. \( 4 \mathrm{mV} \) | 3 | Physics |
An example of oxidation-reduction
reaction is:
\( \mathbf{A} \cdot B C l_{3}+C l^{-} \rightarrow B C l_{4} \)
B. \( H C N+H_{2} O \rightarrow H_{3} O^{+}+C N^{-} \)
\( \mathbf{c} \cdot H_{2} O_{2}+2 B r^{-}+2 H^{+} \rightarrow 2 H_{2} O+B r_{2} \)
D. \( 2 N H_{3}(g) \rightarrow N_{2}(g)+3 H_{2}(g) \) | 1 | Chemistry |
The weight of a satellite on earth is 100
kN. What is the gravitational force on the satellite when it orbits the earth at a
distance of \( 12800 \mathrm{km} \) from the center of
the earth?
A. 11 kilo-newtons
B. 25 kilo-newtons
c. 50 kilo-newtons
D. 100 kilo-newtons
E. 200 kilo-newtons | 3 | Physics |
The decomposition of \( N_{2} O_{5} \) dissolved in carbon tetra chloride occurs followingly
at constant temperature.
\( N_{2} O_{5(s o l u t i o n)} \rightleftharpoons 2 N O_{2(s o l u t i o n)}+ \)
\( \frac{1}{2} O_{2(g)} \)
This reaction is of first order and its
rate constant is \( 5 \times 10^{-4} \mathrm{sec}^{-1} ? \) If
initial concentration of \( N_{2} O_{5} \) is 0.4 mol
litre then
(i) What will be the initial reaction rate?
(ii) What will be the half-life period of
this reaction?
(iii) What time will be taken to
complete \( 75 \% \) reaction? | 1 | Chemistry |
Two particles are placed at some distance and the magnitude of gravitational force between them is F. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the new value of gravitational force, in terms of \( F \) between them will be:
A \( \cdot \frac{F}{4} \)
в. \( 4 F \)
c. \( \frac{F}{2} \)
D. | 3 | Physics |
Occurrence of more than one type of leaves is
A. Decussate phyllotaxy
B. Heterophylly
c. Aestivation
D. Anisophylly | 0 | Biology |
What is the shape of each face of a cube?
A. Square
B. Circular
c. Hyperbolic
D. Eliptical | 2 | Maths |
If \( P=\left[\begin{array}{lll}1 & c & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4\end{array}\right] \) is the adjoint of a
\( 3 \times 3 \) matrix \( Q \) and \( \operatorname{det} .(Q)=4, \) then \( c \) is
equal to.
\( \mathbf{A} \cdot \mathbf{0} \)
B. 4
c. 5
D. 11 | 2 | Maths |
The king of a province proposes a new law that would give a tax credit to parents who homeschool their children.
\( 10 \% \) of ministers approve of the law. Of these, 7 out of 10 are women. All other ministers are against the law. If there are equal numbers of men and women in his ministry department, then what fraction of male ministers approve of
the ordinance?
A \( \cdot \frac{3}{10} \)
B. \( \frac{3}{47} \)
c. \( \frac{3}{50} \)
D. \( \frac{3}{100} \) | 2 | Maths |
Find the mean of the following
frequency distribution
Height from 200 1000 mean
sea
600
level
No. of
Villages 107 265 143 115 | 2 | Maths |
Polarisation of the electron cloud of
cation is less than anion because:
A. p/e ratio is more than one for anion
B. p/e ratio is less than one for cation
C. p/e ratio is more than one for cation by which electrons are relatively loosely held compared to anion
D. p/e ration is more than one for cation while less than one for anion by which electron cloud is relatively loosely held for anion | 1 | Chemistry |
Incipient heterospory is shown by the pteridophyte
A. Selaginella
B. Dryopteris
c. Lycopodium
D. Equisetum | 0 | Biology |
Number of sigma and pi bonds in \( \mathrm{ClO}_{3}^{-} \)
ion are:
\( \mathbf{A} \cdot 2 \sigma \) and \( 2 \pi \)
B. \( 3 \sigma \) and \( 3 \pi \)
\( \mathbf{c} \cdot 3 \sigma \) and \( 2 \pi \)
D. \( 2 \sigma \) and \( 3 \pi \) | 1 | Chemistry |
A proton is moving in a uniform magnetic field \( B \) in a circular path of
radius \( a \) in a direction perpendicular to
\( Z \) axis along which field \( B \) exists. Calculate the angular momentum. If the
radius is \( a \) and charge on proton is \( e: \)
A \( \cdot \frac{B e}{a^{2}} \)
B \( \cdot e B^{2} a \)
\( \mathbf{c} \cdot a^{2} e B \)
D. \( a e B \) | 3 | Physics |
Explain the steps involved in translation | 0 | Biology |
Which plant group is exclusively
perennial?
A. Dicots
B. Ferns
c. Gymnosperms
D. Monocots | 0 | Biology |
Velocity' \( V^{\prime} \) of a wave is directly
proportional to modulus of elasticity' \( \boldsymbol{E} \) and density ' \( d \) of a medium. The
expression of ' \( V \) ' using dimensional analysis is:
A \( \cdot V=\frac{E}{\sqrt{d}} \)
B. \( V=\frac{\sqrt{E}}{d} \)
c. \( v=\sqrt{\frac{E}{d}} \)
D. \( V=\sqrt{E D} \) | 3 | Physics |
\( \frac{3+\cot 76^{0} \cot 16^{0}}{\cot 76^{0}+\cot 16^{0}} \) is equal to
This question has multiple correct options
\( A \cdot \tan 16^{0} \)
B \( \cdot \cot 76^{0} \)
\( \mathbf{C} \cdot \tan 46^{\circ} \)
\( \mathbf{D} \cdot \cot 44^{0} \) | 2 | Maths |
In normal ECG, PR and T wave are lies at
A. Above the base line
B. Below the base line
C. partly above and partly below the base line
D. Equal to the base line | 0 | Biology |
On the ellipse, \( 4 x^{2}+9 y^{2}=1, \) the
points at which the tangents are
parallel to the line \( 8 x=9 y \) are
This question has multiple correct options
\( ^{\mathrm{A}} \cdot\left(\frac{2}{5}, \frac{1}{5}\right) \)
B \( \cdot\left(-\frac{2}{5}, \frac{1}{5}\right) \)
\( c \cdot\left(-\frac{2}{5},-\frac{1}{5}\right) \)
D. \( \left(\frac{2}{5},-\frac{1}{5}\right) \) | 2 | Maths |
The I V characteristics of solar cell is
drawn in the fourth quadrant of the
coordinate axes because
A. a solar cell does not draw current but supplies the same to the load
B. a solar cell draws current but supplies no current to the load
c. a solar cell draws voltage and supplies current to the load
D. a solar cell draws current but supplies voltage to the load | 3 | Physics |
Solve the following equation:
\( -8<-(3 x-5)<13 \) | 2 | Maths |
In the given figure, which of the
following is a line of symmetry?
A. Line A
B. Line B
c. Line
D. Line A and Line C | 2 | Maths |
A thermodynamic system is taken from an original state to an intermediate
state by the linear process shown in the
figure. Its volume is then reduced to the
original value from \( \boldsymbol{E} \) to \( \boldsymbol{F} \) by an
isobaric process. Calculate the total
work done by the gas from \( D \) to \( E \) to \( F \)
A .225 J
D. 600 | 3 | Physics |
A glass rod rubbed with silk is used to charge a gold leaf electroscope and the leaves are observed to diverge. The electroscope thus charged is exposed to X-rays for a short period. Then:
A. the divergence of leaves will not be affected
B. the leaves will diverge further
c. the leaves will collapse
D. the leaves will melt | 3 | Physics |
An electron of charge \( e \) and mass \( m \) describes a circular path of radius \( r \) when it is projected with a velocity \( v \) perpendicular to a uniform magnetic field, then its frequency is :
\( ^{A} \cdot \frac{1}{2 \pi} \sqrt{\frac{B e}{m}} \)
в. \( \frac{1}{2 \pi} \frac{B e}{m} \)
c. \( \frac{1}{2 \pi} \frac{m}{B e} \)
D. \( \frac{1}{2 \pi} \frac{m e}{2} \) | 3 | Physics |
Hari bought a pen for Rs. 125 and sold it for Rs. 120. The loss is
A . Rs. 245
в. Rs.
c. Rs. 15
D. none | 2 | Maths |
When \( P H_{3} \) absorbed in \( H g C l_{2} \) solution
the corresponding phosphide is
obtained
A. \( H g_{2} P_{3} \)
в. \( H g_{3} P_{2} \)
\( \mathbf{c} \cdot H g_{3}\left(P O_{4}\right)_{2} \)
D. None of these | 1 | Chemistry |
The hydrides of the first element in
group \( 15-17, \) namely \( N H_{3}, H_{2} O \) and
\( H F, \) respectively show abnormally high
values for melting and boiling points. This is due to:
A. small size of \( N, O \) and \( F \)
B. the ability to form extensive intermolecular \( H \) bonding
c. the ability to form extensive intramolecular \( H \) bonding
D. effective van der Waal's interaction | 1 | Chemistry |
A bag contains a certain number of
balls, some of which are white; a ball is
drawn and replaced, another is then drawn and replaced; and so on: if is the chance of drawing a white ball in a single trail, find the number of white
balls that is most likely to have been drawn in \( n \) trails. | 2 | Maths |
A triangle is specified by the coordinates of its vertices \( A(3,2,-3), B \)
\( (5,1,-1), \) and \( C(1,-2,1) \). Calculate the coordinates of the vector a which is of the same direction as the vector \( \overrightarrow{A B} \)
and has the same length as the vector \( \boldsymbol{A C} \) | 2 | Maths |
Which one of the following cannot be explained on the basis of Mendel's Law of Dominance?
A. Factor occur in pairs.
B. The discrete unit controlling a particular character is called as factor
c. out of one pair of factor one is dominant, and the other recessive
D. Alleles do not show any blending and both the characters recover as such in \( F_{2} \) generation | 0 | Biology |
Force acting on a particles moving in a
straight line varies with the velocity \( v \) of
the particles as \( \boldsymbol{F}=\boldsymbol{K} \) where \( \boldsymbol{K} \) is a
constant. The work done by this force in time \( t \) is
A \( \cdot \frac{K}{v^{2}} t \)
в. \( 2 K t \)
c. all the above
D. None of these | 3 | Physics |
Identify which of the following quantities remain conserved during an elastic collision?
A. momentum only
B. momentum and potential energy
c. kinetic energy only
D. momentum and kinetic energy
E. momentum end velocity | 3 | Physics |
During a physics lab, a plastic strip was rubbed with cotton and became
positively charged. The correct explanation for why the plastic strip becomes positively charged is that
A. the plastic strip acquired extra protons from the cotton.
B. the plastic strip acquired extra protons during the charging process
c. protons were created as the result of the charging process
D. the plastic strip lost electrons to the cotton during the charging process | 3 | Physics |
The enzymes have a very narrow optima for which of the following factor?
A. Light
B. Temperature
c. pH
D. Humidity | 0 | Biology |
Find the Odd one among : 35,63,105,121 133,210
A . 35
B. 63
\( c \cdot 105 \)
D. 121 | 2 | Maths |
Thermal decomposition of higher hydrocarbons into lower hydrocarbons
is called:
\( A \). aromatization
B. cracking
c. reforming
D. isomerization | 1 | Chemistry |
State, whether the following pairs of
sets are equal or not:
If they are equal then write 1 , else write
\( \mathbf{0} \)
\( A=2,4,6,8 \) and \( B=\{2 n: n \epsilon N \) and
\( \boldsymbol{n}<\mathbf{5}\} \) | 2 | Maths |
Which of the following is NOT a planet of our Solar System?
A . sirius
B. Mercury
c. Saturn
D. Earth | 3 | Physics |
SONAR works on the Principle of :
A. reflection of sound
B. reflections of waves
C. infrasonic waves.
D. all of the above | 3 | Physics |
Four digit numbers are formed using
each of the digits \( 1,2, \ldots \ldots ., 8 \) only once One number from them is picked at random then the probability that the selected number contains unity is
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{8} \)
\( c \cdot \frac{1}{4} \)
D. \( \frac{1}{3} \) | 2 | Maths |
The name of the compound \( \boldsymbol{H} \boldsymbol{C} \equiv \boldsymbol{C}- \)
\( C \equiv C-C \equiv C H \) is hexa-1,3,5-triyne.
A. True
B. False | 1 | Chemistry |
Which is more reactive nucleophile in
polar protic solvent?
\( \mathbf{A} \cdot \mathbf{F} \)
в. \( \mathrm{Cl} \)
\( c \cdot B r \)
D. I | 1 | Chemistry |
Electrolysis of water to form hydrogen and oxygen gas is called
A. precipitation
B. oxidation-reduction
c. distillation
D. hydration
E. condensation | 1 | Chemistry |
The electron in the hydrogen atom is moving with a speed of \( 2.3 \times 10^{6} m / s \) in an orbit of radius 0.53 A. Calculate the
period of revolution of electron. \( (\pi= \) 3.142 | 3 | Physics |
Classify the following as motion along a straight line, circular or oscillatory
motion.
(i) Motion of your hands while running.
(ii) Motion of a horse pulling a cart on a straight road.
(iii) Motion of a child in a merry-goround.
(iv) Motion of a child on a see-saw.
(v) Motion of a hammer of an electric
bell.
(vi) Motion of a train on a straight bridge. | 3 | Physics |
While preparing the progress reports of the students, the class teacher found
that \( 70 \% \) of the students passed in
Hindi, \( 80 \% \) passed in English and only \( 65 \% \) passed in both the subjects. Find
out the percentage of students who
failed in both the subjects.
A . \( 15 \% \)
B. 20\%
c. \( 30 \% \)
D. \( 35 \% \) | 2 | Maths |
Name the two groups into which phenomenon of catalysis can be divided. Given an example of each group with the chemical equation involved. | 1 | Chemistry |
\( X \) has three children in his family. What is the probability that all the three children are boys?
A \( \cdot \frac{1}{8} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{1}{3} \)
D. \( \frac{3}{8} \) | 2 | Maths |
Which is correct in case of Van der
Waals adsorption?
A. High temperature, low pressure
B. High temperature, high pressure
c. Low temperature, low pressure
D. Low temperature, high pressure | 1 | Chemistry |
A charge \( \boldsymbol{q}(>\mathbf{0}) \) moves towards the
centre of a circular loop of radius \( \boldsymbol{R} \)
along its axis. The magnitude of B along
the periphery of the loop is
A . zero
B. \( \frac{\mu_{0}}{4 \pi} \frac{q v R}{\sqrt{\left(R^{2}+x^{2}\right)^{3}}} \)
c. \( \frac{q v R}{\sqrt{R^{2}+x^{2}}} \)
D. \( \frac{\mu_{0}}{4 \pi} \frac{q v R}{\sqrt{R^{2}+x^{2}}} \) | 3 | Physics |
If \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \frac{\sin 3 x+A \sin 2 x+B \sin x}{x^{5}}, x \neq 0 \)
is continous at \( x=0 \) then
This question has multiple correct options
A. \( A=-4 \)
B. \( B=5 \)
c. \( f(0)=1 \)
D. \( A=-3 \) | 2 | Maths |
Five uniform circular plates, each of
diameter D and mass m are laid out in
a pattern shown. Using the origin
shown, find the y coordinate of the
centre of mass of the fiveplate system.
\( A \cdot 2 D / 5 \)
B. \( 40 / 5 \)
\( c \cdot D / 3 \)
D. D/5 | 3 | Physics |
A solid sphere falls with a terminal velocity v in air. If it is allowed to fall in
vacuum,
A. terminal velocity of sphere = v
B. terminal velocity of sphere \( < \) v
c. terminal velocity of sphere \( >v \)
D. sphere never attains terminal velocity | 3 | Physics |
\( A l \) has lower ionization potential than
that of \( M g \) because:
A. \( A l \) atom is bigger than \( M g \) atom
B. \( M g \) atom is bigger than \( A l \) atom
c. all electrons in \( M g \) are paired, but those of \( A l \) are not
D. all belongs to a higher group | 1 | Chemistry |
Solve \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\boldsymbol{x}+\boldsymbol{y} \) | 2 | Maths |
Which of the following is the isotone of
\( 16^{3^{32}} ? \)
\( \mathbf{A} \cdot_{15} P^{31} \)
В \( \cdot_{7} N^{14} \)
\( \mathbf{c} \cdot_{18} A r^{40} \)
D \( \cdot_{17} C l^{34} \) | 1 | Chemistry |
If \( f(x)=\frac{4^{x}}{4^{x}+2}, \) then \( f(x)+f(1-x) \)
is equal to.
\( \mathbf{A} \cdot \mathbf{0} \)
B. -
c. 1
D. 4 | 2 | Maths |
Milk glands are characteristics of
A. All vertebrates
B. Only mammals
c. only placental mammals
D. Only ruminants | 0 | Biology |
The angle between two vectors \( (2 \hat{i}+ \) \( 3 \hat{j}+\hat{k}) \) and \( (-3 \hat{i}+6 \hat{k}) \) is :-
A \( \cdot 0^{\circ} \)
B . 45
\( c \cdot 60 \)
D. 90 | 3 | Physics |
The self inductance of the toroidal
solenoid described in the passage is
\( ^{A} \cdot \frac{\mu_{0} N^{2} h}{2 \pi} \)
B. \( \frac{\mu_{0} N^{2} h}{2 \pi} \log _{e} \frac{b}{a} \)
c. \( \frac{\mu_{0} N h}{2 \pi} \log _{e} \frac{b}{a} \)
D. \( \frac{\mu_{0} N^{2} h}{2 \pi} \log _{e} \frac{a}{b} \) | 3 | Physics |
Find the angle between the two lines
whose direction cosines are given by
equations \( l+m+n=0 \) and \( l^{2}+ \)
\( \boldsymbol{m}^{2}-\boldsymbol{n}^{2}=\mathbf{0} \)
A \( \cdot \frac{\pi}{6} \)
в.
\( c \cdot \frac{\pi}{2} \)
D. | 2 | Maths |
Out of the following functions representing motion of a particle which
represents \( \boldsymbol{S H} \boldsymbol{M} \) ?
(A) \( y=\sin \omega t-\cos \omega t \)
(B) \( y=\sin ^{3} \omega t \)
(C) \( y=5 \cos \left(\frac{3 \pi}{4}-3 \omega t\right) \)
(D) \( \boldsymbol{y}=\mathbf{1}+\boldsymbol{\omega} \boldsymbol{t}+\boldsymbol{\omega}^{2} \boldsymbol{t}^{2} \)
A. Only \( (A) \) and \( (B) \)
B. only \( (A) \)
c. only \( (D) \) does not represent \( S H M \)
D. only \( (A) \) and \( (C) \) | 3 | Physics |
Periscope can not be made with
A. single mirror
B. 2 mirrors
c. 3 mirrors
D. 4 mirrors | 3 | Physics |
\( f(x)=\tan ^{-1}(\sin x+\cos x) \) is an
increasing function in This question has multiple correct options
A \( \cdot\left(0, \frac{\pi}{4}\right) \)
В \( \cdot\left(0, \frac{\pi}{2}\right) \)
c. \( \left(\frac{-\pi}{4}, \frac{\pi}{4}\right) \)
D. None of these | 2 | Maths |
To which plant division does the below
pictorial representation of life cycle belong?
A. Bryophyte
B. Algae
C. Pteridophyte
D. Gymnosperms | 0 | Biology |
Write the mechanism of the given
reaction. | 1 | Chemistry |
If \( \cos ^{-1} x-\sin ^{-1} x=0, \) then \( x \) is equal
to-
\( ^{\mathrm{A}} \pm \frac{1}{\sqrt{2}} \)
B. 1
\( ^{\mathrm{c}} \pm \frac{1}{\sqrt{3}} \)
D. \( \frac{1}{\sqrt{2}} \) | 2 | Maths |
Example of physical equilibria is:
A. \( H_{2}+I_{2} \rightleftharpoons 2 H I \)
в. \( C a C O_{3} \rightleftharpoons C a O+C O_{2} \)
c. \( H_{2} O(s) \rightleftharpoons H_{2} O(l) \)
D. \( P C l_{5} \rightleftharpoons P C l_{3}+C l_{2} \) | 1 | Chemistry |
If \( A B C D \) is parallelogram. E is mid-point of \( A B \) and \( C E \) bisects \( \angle B C D, \) then
\( \angle D E C \) is
A \( \cdot 60^{\circ} \)
В. \( 90^{\circ} \)
\( c \cdot 100^{\circ} \)
D. 120 | 2 | Maths |
pp 7
Q Type your question
\( \mathbf{A} \)
B.
\( c \)
D. | 1 | Chemistry |
Cerium shows oxidation state of +4
because:
\( \mathbf{A} \). it resembles alkali metals
B. it has very low I.E.
C. it has tendency to attain noble gas configuration
D. it has tendency to attain \( f^{0} \) configuration | 1 | Chemistry |
At the highest point of a projectile its velocity i half the initial velocity in magnitude The angle of projection from ground is
A \( .30^{\circ} \)
В . \( 45^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 90^{\circ} \) | 3 | Physics |
Decrease in tropical forests during the
past century was
A . 40\%
B. 50\%
c. \( 60 \% \)
D. 10\% | 0 | Biology |
The laws of reflection are true for
A. the plane mirror only
B. the concave mirror and convex mirror
C. the convex mirror only
D. all reflecting surfaces | 3 | Physics |
Benzoic acid does not undergo FriedelCrafts reaction due to \( - \) - of the
benzene ring by the - - - - - effect of -COOH
group.
A. Activation, electron donating
B. Activation, electron withdrawing
c. Deactivation, electron donating
D. Deactivation, electron withdrawing | 1 | Chemistry |
The angle between incident ray and
reflected ray is \( 60^{\circ} . \) What is the value of
angle of incidence?
A \( .30^{\circ} \)
B. 60
\( c \cdot 120 \)
D. None of the above | 3 | Physics |
The function \( f: R \rightarrow R \) satisfies
\( \boldsymbol{f}\left(\boldsymbol{x}^{2}\right) \cdot \boldsymbol{f}^{\prime \prime}(\boldsymbol{x})=\boldsymbol{f}^{\prime}(\boldsymbol{x}) \cdot \boldsymbol{f}^{\prime}\left(\boldsymbol{x}^{2}\right) \) for all real \( \boldsymbol{x} \)
Given that \( f(1)=1 \) and compute the
value of \( \boldsymbol{f}^{\prime}(\mathbf{1})+\boldsymbol{f}^{\prime \prime}(\mathbf{1}) \) | 2 | Maths |
The length of the chord of a circle is \( 8 \mathrm{cm} \) and perpendicular distance between centre and the chord is \( 3 \mathrm{cm} \). Then the
radius of the circle is equal to?
A. \( 4 \mathrm{cm} \)
B. \( 5 \mathrm{cm} \)
\( \mathrm{c} \cdot 6 \mathrm{cm} \)
D. \( 8 \mathrm{cm} \) | 2 | Maths |
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