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Which of the following is used as a food preservative?
A. Aldehydes
B. Ketones
c. carboxylic acid
D. Alcohol
| 1 |
Chemistry
|
The radius of a sphere is \( 1.41 \mathrm{cm} \). Its volume to an appropriate number of significant figures is then
\( \mathbf{A} \cdot 11.73 \mathrm{cm}^{3} \)
B . 11.736 \( c m^{3} \)
\( \mathrm{c} \cdot 11.7 \mathrm{cm}^{3} \)
D. \( 117 \mathrm{cm}^{3} \)
| 3 |
Physics
|
\( \mathrm{n} O_{3}, \) central oxygen atom is
hypervalent. It shares electron
pairs.
| 1 |
Chemistry
|
A bag contains n white and n red balls.
Pairs of balls are drawn without
replacement until the bag is empty. Show that the probability that each pair consists of one white and one red ball is
\( \frac{\mathbf{2}^{n}}{2 n} \mathbf{C}_{n} \)
| 2 |
Maths
|
What are emulsions? What are their
different types? Give one example of
each type.
| 1 |
Chemistry
|
Simplify:
i) \( \left(a^{2}-b^{2}\right)^{2} \)
ii) \( (2 x+5)^{2}-(2 x-5)^{2} \)
| 2 |
Maths
|
\( \mathbf{3}(\boldsymbol{x}-\mathbf{1})=\mathbf{3}(\boldsymbol{x})-\mathbf{3} \)
Classify this equation as a conditional equation
A. An identity
B. A contradiction
c. Association
D. None of the above
| 2 |
Maths
|
When two magnetic poles one of which
is four times greater than the other in pole strength, are placed \( 5 \mathrm{cm} \) apart in air. They exert a mutual force of 144
mg.wt. on each other. The pole strengths of the poles are (in ampere metre)
\( \left(g=10 \mathrm{m} / \mathrm{s}^{2}\right) \)
A .6,3
B. 9,3
c. 12,3
D. 18,6
| 3 |
Physics
|
In figure, the wires \( P_{1} Q_{1} \) and \( P_{2} Q_{2} \) are
made to slide on the rails with same
speed of \( 5 c m s^{-1} . \) In this region, a
magnetic field of \( 1 T \) exists. The electric
current in the \( 9 \Omega \) resistance is
This question has multiple correct options
A. zero if both wires slide toward left
B. zero if both wires slide in opposite directions
C. \( 0.2 m A \) if both wires move toward left
D. \( 0.2 m A \) if both wires move in opposite directions
| 3 |
Physics
|
Match the column I with column II
What is and \( \begin{array}{lllll} & \text { Column I } & & \text { Column II } \\ \text { A. } & \text { Ethylene } & \text { 1. } & \text { Pigment } \\ \text { B. } & \text { Cytokinin } & \text { 2. } & \begin{array}{l}\text { Growth } \\ \text { inhibitor }\end{array} \\ \text { C. } & \text { Phytochrome } & \text { 3. } & \begin{array}{l}\text { Flowering } \\ \text { hormone }\end{array} \\ \text { D. } & \text { Florigen } & \text { 4. } & \text { Zeatin }\end{array} \)
\( \mathbf{A} \)
\( A-4, B-3, C-2, D-1 \)
B. \( A-3, B-4, C-2, D-1 \)
C. \( A-2, B-4, C-1, D-3 \)
D. \( A-2, B-1, C-3, D-4 \)
| 0 |
Biology
|
Potential energy is defined as:
A. The energy of motion
B. Electrical energy
C. The energy of heat
D. Mechanical energy
E. The energy of position and composition
| 1 |
Chemistry
|
For the following arithmetic progressions write the first term \( a \) and
the common difference \( d \) :
\( -1.1,-3.1,-5.1,-7.1, \dots . \)
| 2 |
Maths
|
The ratio of slopes of adiabatic and
isothermal curves is :
A \( \cdot x \)
B. \( \frac{1}{\gamma} \)
\( c \cdot \gamma^{2} \)
D. \( \gamma^{3} \)
| 3 |
Physics
|
Which one of the following is noncombustible?
A. Stone piece
B. Paper
c. Straw
D. Matchsticks
| 1 |
Chemistry
|
NItrogen is less reactive at room
temperature Comment on the above statement.
| 1 |
Chemistry
|
1 kilowatt hr = - - joules.
A \( .10 .6 \times 10^{6} \)
B . \( 3.6 \times 10^{6} \)
c. \( 30.6 \times 10^{6} \)
D. \( 3.6 \times 10^{5} \)
| 3 |
Physics
|
A coil of inductance \( L \) is carrying a
steady current I what is the nature of its stored energy?
A. Magnetic
B. Electrical
c. Both magnetic and electrical
D. Heat
| 3 |
Physics
|
Derive the expression for the capacitance of a parallel plate
capacitore having plate area \( A \) and plate separation d.
| 3 |
Physics
|
The ............ when multiplied always give a new unique natural number.
A. decimal numbers
B. fractions
c. irrational numbers
D. prime numbers
| 2 |
Maths
|
Rewrite the following choosing the correct word from each pair given in
brackets:
The hydrocarbons containing at least
one carbon to carbon
(double/triple) bond are called
(alkenes/alkynes). They have the
general formula \( C_{n} H_{2 n} . \) These were
previously called (olefins/paraffins). When this compound is treated with (bromine/lime) water, decolourisation occurs because
it is
(saturated/unsaturated).
| 1 |
Chemistry
|
An electric dipole kept in a uniform electric field experiences:
A. Force and a torque
B. A force, but no torque
c. A torque but no force
D. Neither a force nor a torque
| 3 |
Physics
|
Tanning of leather is the:
A. colouring of leather by chemicals
B. drying process to make the leather hard
C. polishing of leather to make it look attractive
D. coagulative hardening of the leather by chemicals
| 1 |
Chemistry
|
The relation between volume \( V \), pressure
\( \mathrm{P} \) and absolute temperature \( \mathrm{T} \) of an ideal
gas is \( \mathrm{PV}=\mathrm{xT} \), where \( \mathrm{xis} \) a constant. The
value of \( x \) depend upon
A. the mass of the gas molecule
B. the average kinetic energy of the gas molecules
C. P, V and T
D. the number of gas molecules in volume \( V \)
| 3 |
Physics
|
Two charges of \( -2 Q \) and \( Q \) are located at points \( (a, 0) \) and \( (4 a, 0) \) respectively. What is the electric flux through a sphere of radius \( 3 a \) centred at the
origin?
A \( \cdot \frac{Q}{\epsilon_{0}} \)
в. \( \frac{-Q}{\epsilon_{0}} \)
c. \( \frac{-2 Q}{\epsilon_{0}} \)
D. \( \frac{3 Q}{\epsilon_{0}} \)
| 3 |
Physics
|
A seed is protected by and
| 0 |
Biology
|
In a p-type semiconductor, the electron current is \( _{-}-_{-}-_{-}- \) the hole current.
A. equal to
B. less than
c. greater than
D. none of the above
| 3 |
Physics
|
Electromagnetic radiation of wavelength \( 242 \mathrm{nm} \) is just sufficient to ionise the sodium atom. Calculate the
ionisation energy of sodium atom? \( (c= \)
\( 3 \times 10^{8} \mathrm{ms}^{-1}, \mathrm{h}=6.626 \times 10^{-34} \mathrm{Js} \)
A \( \cdot 5.6 \times 10^{-19} k J \)
В . \( 6.9 \times 10^{-18} k J \)
c. \( 8.2 \times 10^{-19} \mathrm{J} \)
D. 495 kJ
| 1 |
Chemistry
|
\( \cos ^{2} A+\cos ^{2}\left(120^{\circ}+A\right)+ \)
\( \cos ^{2}\left(120^{\circ}-A\right)= \)
A \( \cdot \frac{3}{2} \)
в. \( \frac{1}{2} \)
\( c \cdot \frac{3}{18} \)
D.
| 2 |
Maths
|
Chemical leaching is useful in the concentration of:
A. bauxite
B. copper pyrities
c. cassiterite
D. None of the above
| 1 |
Chemistry
|
The atomic number of an element which
shows a valency of +3 is :
A . 13
B. 32
\( c .33 \)
D. 17
| 1 |
Chemistry
|
Electronic configuration \( [\boldsymbol{K} \boldsymbol{r}] \boldsymbol{4} \boldsymbol{d}^{10} \)
belongs to:
A. Period(4) Group(10) Block(d)
B. Period(5) Group(12) Block (d)
c. Period(5) Group(10) Block \( (d) \)
D. Period(4) Group(12) Block(d)
| 1 |
Chemistry
|
Infective stage of Entamoeba histolytica
is
A. Trophozoite
B. Pre-cyst
c. Uninucleate cyst
D. Tetranucleate cyst
| 0 |
Biology
|
Explain the sex determination in baby?
| 0 |
Biology
|
Is every continuous function
differentiable?
| 2 |
Maths
|
The function \( \boldsymbol{f}(\boldsymbol{x})=\frac{\boldsymbol{x}}{\mathbf{1}+|\boldsymbol{x}|} \) is
differentiable at which of the following?
A. Everywhere
B. Everywhere except at \( x=1 \)
c. Everywhere except at \( x=0 \)
D. Everywhere except at \( x=0 \) or 1
| 2 |
Maths
|
The position vectors of points \( \overrightarrow{\boldsymbol{A}}, \overrightarrow{\boldsymbol{B}}, \overrightarrow{\boldsymbol{C}} \)
are respectively \( \vec{a}, \vec{b}, \vec{c} \). If \( P \) divides \( \overrightarrow{A B} \) in the ratio 3: 4 and \( Q \) divides \( \overrightarrow{B C} \) in
the ratio 2: 1 both externally then \( \overrightarrow{P Q} \)
is
A. \( \vec{b}+\vec{c}-\overrightarrow{2 a} \)
and
В . \( 2(\vec{b}+\vec{c}-\overrightarrow{2 a}) \)
c. \( 4 \vec{a}-\vec{b}-\vec{c} \)
D. \( \frac{-2 \vec{a}-\vec{b}-\vec{c}}{2} \)
| 2 |
Maths
|
The value of \( \tan (90-\theta) \) in the graph
gives :
A. Young's modulus of elasticity
B. compressibility
c. Shear strair
D. Tensile strength
| 3 |
Physics
|
If \( x-y=7 \) and \( x^{3}-y^{3}=133 ; \) find:
the value of \( x y \)
A . 12
B. - -
\( c .-10 \)
D. 5
| 2 |
Maths
|
A bas contains 4 white, 7 black and 5
red balls. Three balls are drawn one after
the other without replacement. Find the probability that the balls drawn are white, black and red respectively.
| 2 |
Maths
|
A body rests on a rough horizontal plane. A force is applied to the body directed towards the plane at an angle
\( \alpha \) with the vertical. The body can be
moved along the plane
A. only if \( \alpha \) is greater than the angle of friction
B. only if \( \alpha \) is lesser than the angle of friction
c. only if \( \alpha \) is equal to the angle of friction
D. for all values of \( \alpha \)
| 3 |
Physics
|
Evaluate: \( \int \frac{x^{3}-x^{2}+x-1}{x-1} d x \)
| 2 |
Maths
|
Which one of the following function is continuous everywhere in its domain but has at least one point where it is not
differentiable?
A \( . f(x)=x^{1 / 3} \)
в. \( f(x)=\frac{|x|}{x} \)
\( \mathbf{c} \cdot f(x)=e^{-x} \)
D. \( f(x)=\tan x \)
| 2 |
Maths
|
A bullet when fired into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration
before it comes to rest is :
A. \( 6.66 \mathrm{cm} \)
B. 3.33 сm
\( c \cdot 12.5 \mathrm{cm} \)
D. \( 10 \mathrm{cm} \)
E. \( 5 \mathrm{cm} \)
| 3 |
Physics
|
A metal cylinder 0.628 m long and \( 0.04 m \) in diameter has one end in
boiling water at \( 100^{\circ} \mathrm{C} \) and other end is melting ice. The co-efficient of Thermal conductivity of the metal is
\( 378 W m^{-1} k^{-1} . \) Latest heat of lce is
\( 3.36 \times 10^{5} J k g^{-1} . \) Find the mass of ice
melts in one hour.
| 3 |
Physics
|
The substance which does not produce
\( \mathrm{O}_{2} \) after
reacting with ozone is:
A. \( H_{2} O_{2} \)
в. \( H g \)
c. \( K O H \)
\( \mathrm{D} \cdot \mathrm{SO}_{2} \)
| 1 |
Chemistry
|
Refer to the given figure and identify
structure \( X \) in cockroach.
A. Testis
B. Ovary
c. sperms
| 0 |
Biology
|
Angular width of principal maximum in Fraunhoffer single slit diffraction is 0.1
radian. Angular width of secondary maxima is then
A . 0.05 radian
B. 0.1 radian
c. 0.5 radian
D. 0.25 radian
| 3 |
Physics
|
Find the value of
\( \sin 135^{\circ} \)
| 2 |
Maths
|
When magnesium is burnt in air, the weight of magnesium:
A. increases
B. decreases
c. remains same
D. Depends on the atmosphere
| 1 |
Chemistry
|
Five equal forces of \( 10 \mathrm{N} \) each are
applied at one point and all are lying in one plane. If the angles between any two adjacent forces are equal, the resultant of these forces will be :
A . zero
B. 10N
c. 20N
D. \( 10 \sqrt{2} N \)
| 2 |
Maths
|
The cobalt hexammine cation has an
atom of cobalt in the centre, surrounded by six molecules of ammonia that are
attached to it. The shape of this ion is?
A . Tetrahedral
B. Square
c. Linear
D. Octahedral
| 1 |
Chemistry
|
Four resistance \( 5 \Omega, 10 \Omega, 15 \Omega \) and an
unknown \( X \Omega \) are connected in series
so as to from Wheatstones network.
Determine the unknown resistance \( \boldsymbol{X} \)
if the network is balanced with these
numerical value of resistance.
| 3 |
Physics
|
If \( \boldsymbol{A}=\left[\begin{array}{ccc}1 & 2 & 2 \\ 2 & 1 & -2 \\ a & 2 & b\end{array}\right] \) is a matrix
satisfying the equation \( \boldsymbol{A} \boldsymbol{A}^{\boldsymbol{T}}=\mathbf{9} \boldsymbol{I} \)
where \( I \) is \( 3 \times 3 \) identity matrix, then
the ordered pair \( (a, b) \) is equal:
A \( .(2,-11) \)
в. (-2,1)
c. (2,1)
()
D. (2,-1)
| 2 |
Maths
|
Determine the electric potential at point P due to two point charges each of charge \( +Q, \) with one point charge being at a distance \( \mathrm{R} \) and the other being at a distance \( 2 R \)
\( A \)
\[
\frac{3 Q}{8 \pi_{6} R}
\]
в.
\[
\frac{2 Q}{12 \pi \epsilon_{0} R}
\]
\( c \)
\[
\frac{3 Q}{12 \pi \epsilon_{0} R}
\]
D.
\[
\frac{2 Q}{8 \pi \epsilon_{0} R}
\]
| 3 |
Physics
|
A particle is going in a spiral path as
shown in Fig. with constant speed. Then
A. its velocity is constant
B. its acceleration is constant
C. magnitude of its acceleration is constant
D. The magnitude of acceleration decreases continuously
| 3 |
Physics
|
What is the probability that the sum of two number on two rolled dices will
yield a 10 or lower?
A \( \cdot \frac{1}{4} \)
в. \( \frac{7}{12} \)
c. \( \frac{5}{12} \)
D. \( \frac{11}{12} \)
| 2 |
Maths
|
\( \int_{0}^{\pi / 2} x \sin x \cos x d x \)
| 2 |
Maths
|
The equivalent resistance between
points \( A \) and \( B \) of the circuit given
below is
| 3 |
Physics
|
A point dipole \( \overrightarrow{\boldsymbol{p}}=\boldsymbol{p}_{0} \hat{\boldsymbol{x}} \) is kept at the
origin. The potential and electrical field due to this dipole on the y-axis at a distance \( d \) are, respectively:
(Take \( V=0 \text { at infinity }) \)
A \( \cdot \frac{|\vec{p}|}{4 \pi \varepsilon_{d} d^{2}}, \frac{-\vec{p}}{4 \pi \varepsilon_{0} d^{3}} \)
В. \( 0, \frac{\vec{p}}{4 \pi \varepsilon_{0} d^{3}} \)
c. \( \frac{|\vec{p}|}{4 \pi \varepsilon_{0} d^{2}}, \frac{\vec{p}}{4 \pi \varepsilon_{0} d^{3}} \)
D. \( _{0,} \frac{-\vec{p}}{4 \pi \varepsilon_{0} d^{3}} \)
| 3 |
Physics
|
In silicon dioxide:
A. Each silicon atom is surrounded by four oxygen atoms and each oxygen atom is bonded to two silicon atoms
B. Each silicon atom is surrounded by two oxygen atoms and each oxygen atom is bonded to two silicon atoms.
C. Silicon atom is bonded to two oxygen atoms.
D. There are double bonds between silicon and oxygen
atoms.
| 1 |
Chemistry
|
In a room where the temperature is
\( 30^{\circ} \mathrm{C}, \) a body cools from \( 61^{\circ} \mathrm{C} \) to \( 59^{\circ} \mathrm{C} \)
in 4 min. The time (in min) taken by the
body to cool from \( 51^{\circ} \mathrm{C} \) to \( 49^{\circ} \mathrm{C} \) will be:
A . 4
B. 6
c. 5
D.
| 3 |
Physics
|
If \( \alpha \) is a repeated root of \( a x^{2}+b x+ \)
\( \mathbf{c}=\mathbf{0} \operatorname{then} \lim _{x \rightarrow \boldsymbol{\alpha}} \frac{\tan \left(\boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x}+\boldsymbol{c}\right)}{(\boldsymbol{x}-\boldsymbol{\alpha})^{2}}= \)
\( A \)
B.
\( c \)
D.
| 2 |
Maths
|
Assertion
\( \operatorname{Let} \boldsymbol{A}(\overline{\boldsymbol{a}}) \)
\( \& B(\bar{b}) \) be two points in
space. Let \( \boldsymbol{P}(\bar{r}) \) be a variable point
which moves in space such that \( \overline{\boldsymbol{P} \boldsymbol{A}} \) \( P B \leq 0 \) such a variable points traces a
three-dimensional figure whose volume is given by \( \frac{\pi}{6}\left\{\bar{a}^{2}+\bar{b}^{2}-2 \bar{a} \cdot \bar{b}\right\} \)
\( |\bar{a}-\bar{b}| \)
Reason
Diameter of sphere subtends acute angle at any point inside the sphere \( \& \) its volume is given by \( \frac{4}{3} \pi r^{3} \)
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
| 2 |
Maths
|
A small ball of mass \( m \) starts at a point
\( A \) with speed \( v_{0} \) and moves along a
frictionless track \( A B \) as shown. The
track \( B C \) has the coefficient of friction
\( \mu . \) The ball comes to stop at \( C \) after
travelling a distance \( L \) which is
\( ^{\mathrm{A}} \cdot \frac{h}{2 \mu}+\frac{v_{0}^{2}}{2 \mu g} \)
в. \( \frac{h}{\mu}+\frac{v_{0}^{2}}{2 \mu g} \)
c. \( \frac{2 h}{\prime \prime}+\frac{v_{0}^{2}}{2 \mu g} \)
| 3 |
Physics
|
Find the mean and standard deviation
respectively for the following data.
Year 10
20 30 40
Number of persons
(cumulative)
32 51
1
A . 34.95 , 4.01
B. 32.95, 2.97
c. 34.95,1.99
D. 32.95 , 3.49
| 2 |
Maths
|
A flywheel is in the form of a uniform circular disc of radius \( 1 \mathrm{m} \) and mass 2
kg. The work which must be done on it to increase its frequency of rotation from 5 rev / \( s \) to 10 rev / s is
approximately
A \( \cdot 1.5 \times 10^{2} J \)
B. \( 3.0 \times 10^{2} J \)
c. \( 1.5 \times 10^{3} J \)
D. \( 3.0 \times 10^{3} J \)
| 3 |
Physics
|
On a humid day, water vapor condenses on a cold surface. During condensation, the entropy of the water:
A . increases
B. decreases
c. remains constant
D. decrease or remains constant
| 1 |
Chemistry
|
Assertion
\( P C l_{5} \) is a covalent in gaseous and
liquid states but ionic in solid state.
Reason
\( P C l_{5} \) in solid state consists of
tetrahedral \( P C l_{4}^{+} \) cation and octahedral
\( P C l_{6}^{-} \) anion
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
|
In an experiment, the values of two
resistances were measured as \( \boldsymbol{R}_{1}= \)
\( (5.00 \pm .2) \Omega \) and \( R_{2}=(10.00 \pm .1) \Omega \)
The percentage error in the combined resistance in parallel is :
A \( .(4.46 \%) \)
B. \( (7.00 \%) \)
\( c .(5.55 \%) \)
D. \( (3.35 \%) \)
| 3 |
Physics
|
If \( \triangle \boldsymbol{H}_{\text {vaporisation}} \) of substance \( \boldsymbol{X}(\boldsymbol{l}) \)
(molar mass: \( 30 g / m o l \) ) is \( 300 J / g \) at
it's boiling point \( 300 K \), then molar entropy change for reversible condensation process
is
A. \( 30 J / \) mol. \( K \)
в. \( -300 \mathrm{J} / \mathrm{mol.K} \)
c. \( -30 \mathrm{J} / \mathrm{mol} . \mathrm{K} \)
D. None of these
| 1 |
Chemistry
|
Rate constant of a reaction is 175
litre \( ^{-2} \) mol \( ^{-2} \) sec \( ^{-1} \). What is the order
of reaction?
A. First
B. Second
c. Third
D. zero
| 1 |
Chemistry
|
Solve:
\( \frac{2 x+7}{5}-\frac{3 x+11}{2}=\frac{2 x+8}{3}-5 \)
| 2 |
Maths
|
\( \ln H_{3} P O_{4} \) which of the following is true?
This question has multiple correct options
A \( \cdot K_{a}=K_{a_{1}} \times K_{a_{2}} \times K_{a_{3}} \)
B . \( K_{a_{1}}<K_{a_{2}}<K_{a_{3}} \)
C \( \cdot K_{a_{1}}>K_{a_{2}}>K_{a_{3}} \)
D. \( K_{a_{1}}=K_{a_{2}}=K_{a_{3}} \)
| 1 |
Chemistry
|
Maintenance-free batteries, now in use, in
place of common batteries, have :
A. Electrodes made of lead-lead oxide
B. Electrodes made of calcium-containing lead alloy
C. Non-aqueous solvents as medium
D. Platinum electrodes
| 1 |
Chemistry
|
Neutron ratio(r) (availability for fusion) of an atomic reactor and atom bomb are
A. \( r>1 \) in atomic reactor and \( r<1 \) in bomb
B. \( r=1 \) in atomic reactor and \( r>1 \) in bomb
c. \( r>1 \) in both atomic reactor and bomb
D. r \( <1 \) in both atomic reactor and bomb
| 3 |
Physics
|
Pyrroles are five-membered nitrogencontaining heterocyclic compounds present in heme which is a constituent
of hemoglobin. Draw all the significantly contributing resonance structures of pyrrole (K).
How many resonance structures can be
found?
| 1 |
Chemistry
|
At what velocity does water emerge from an orifice in a tank in which gauge
pressure is \( 3 \times 10^{5} N m^{-2} \) before the flow starts?
(Take the density of water \( =1000 \mathrm{kg} \mathrm{m}^{-3} \)
.)
\( \mathbf{A} \cdot 24.5 m s^{-1} \)
B . \( 14.5 \mathrm{ms}^{-1} \)
c. \( 34.5 m s^{-1} \)
D. \( 44.5 \mathrm{ms}^{-1} \)
| 3 |
Physics
|
Derive Poynting vector expression for a straight wire of resistance R carrying a current I having length
| 2 |
Maths
|
For 'invert sugar', the correct statement(s) is(are).
(Given: specific rotations of \( (+) \)
sucrose, \( (+) \) -maltose, \( L-(-) \) -glucose
and \( L-(+) \) -fructose in aqueous solution
\( \operatorname{are}+66^{\circ},+140^{\circ},-52^{\circ} \) and \( +92^{\circ} \)
respectively)
This question has multiple correct options
A. 'Invert sugar' is prepared by acid catalyzed hydrolysis of maltose
B. 'Invert sugar' is an equimolar mixture of D-(+)-glucose and \( D-(-) \) -fructose
C. specific rotation of 'invert sugar' is \( -20^{\circ} \)
D. On reaction with \( B r_{2} \) water, 'invert sugar'forms
saccharic acid as one of the products
| 1 |
Chemistry
|
The type of elements present in group \( 1[\mid A] \) is:
A . alkal
B. alkaline
c. transition
D. halogen
| 1 |
Chemistry
|
Which compound is soluble in water:
This question has multiple correct options
\( \mathbf{A} \)
\( \left[\left(C H_{3}\right)_{2} N H_{2}\right]^{+} C l^{-} \)
B \( \cdot\left[C H_{3} N H_{3}\right]^{+} C l^{-} \)
\( \mathbf{c} \)
\( \left[\left(C H_{3}\right)_{3} N H\right]^{+} C l^{-} \)
\( \mathbf{D} \cdot P h N O_{2} \)
| 1 |
Chemistry
|
You are provided with floral buds of Chrysanthemum in your class and are asked to count the chromosomes, then which of the following stages would you prefer to look into?
A. Prophase
B. Metaphase
c. Anaphase
D. Interphase
| 0 |
Biology
|
A car driven round curved path of radius
\( 18 m \) without the danger of skidding. The coefficient of friction between the
tyres of the car and the surface of the
curved path is \( 0.5 . \) What is the maximum speed in kmph of the car for
safe driving nearly? \( \left(\boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-\mathbf{2}}\right) \)
A . 9.3
B. 34.48
c. 18.42
D. 20.15
| 3 |
Physics
|
The stress-strain curves for three wires
of different materials are shown in
figure, where \( P, Q \) and \( R \) are the elastic
limits of the wires. The figure shows
that
A. Elasticity of wire \( P \) is maximum
B. Elasticity of wire \( Q \) is maximum
C. Elasticity of wire \( R \) is maximum
D. None of the above is true
| 3 |
Physics
|
Assertion
\( (\mathrm{A}): \) If \( \boldsymbol{a}_{\boldsymbol{n}}=\sqrt{\mathbf{7}+\sqrt{\mathbf{7}+\sqrt{\mathbf{7}+\ldots}}} \)
having \( n \) radical signs, then \( a_{n}< \)
\( 4, \forall n \geq 1 \)
Reason
\( (\mathrm{R}): \) If \( a_{n}<4, \) then \( a_{n+1}<4 \)
A. Both (A) \& (R) are individually true \&
(R) is correct explanation of (A)
B. Both (A) \& (R) are individually true but (R) is not the correct (proper) explanation of (A)
\( \mathrm{c} . \) (A) is true but (R) is false
D. (A) is false but (R) is true
| 2 |
Maths
|
The mean deviation about median for
the following data is \( 4.4 . \) calculate value
of \( x \)
\( 2,3, x, 10,17 \)
A . 3
B. 5
\( c \cdot 7 \)
D. 17
| 2 |
Maths
|
toppr \( E \)
Q Type your question
\( A \)
and
B.
and
\( c \)
and
\( D \)
and
| 1 |
Chemistry
|
Draw a diagram to represent the nature, position and relative size of the image formed by a i) convex lens for the object
placed at \( 2 F \) ii) concave lens for the
object placed between \( \boldsymbol{F} \) and \( 2 \boldsymbol{F} \)
| 3 |
Physics
|
\( A 60 \mathrm{W} / 120 \mathrm{V} \) bulb is connected to a
\( 240 / 60 \mathrm{Hz} \) supply with an inductance in series. Find the value of inductance so
that bulb gets correct voltage.
A \( \cdot \frac{2.3}{\pi} \) н
в. \( 2 \sqrt{3} \) н
с. \( \pi \) н
D. \( \frac{2 \sqrt{3}}{\pi} \) н
| 3 |
Physics
|
Female reproductive part of Bryophyte
is
A. Antheridium
B. Oogonium
c. Archegonium
D. Sporangium
| 0 |
Biology
|
What is the bond angle in \( C l O_{2} ? \)
A \( \cdot 90^{\circ} \)
B. \( 118^{\circ} \)
\( c \cdot 105^{\circ} \)
D. \( 111^{\circ} \)
| 1 |
Chemistry
|
The volume of oxygen at NTP evolved when \( 1.70 \mathrm{g} \) of sodium nitrate is heated to a constant mass is:
A. 0.112 litre
B. 0224 litre
c. 22.4 litre
D. 11.2 litre
| 1 |
Chemistry
|
The role of a catalyst is to change
A. the Gibbs energy of reaction
B. enthalpy of reaction
C . activation energy of reaction
D. equilibrium constant
| 1 |
Chemistry
|
Q Type your question
nú, kangaroo rat, showing the relative size
of cortex and medulla. Coypu is found in
freshwater and is never of short of water
to drink. Brown rats are able to go some
days without drinking. Kangaroo rats are able to live in deserts without
drinking at all. Which kidney belongs to
which animal?
A. Brown rat
coypu Kangaroo rat
B. Brown rat Kangaroo rat coypu
c. Kangaroo rat Brown rat coypu
D. Kangaroo rat coypu Brown
| 0 |
Biology
|
ABCD is a quadrilateral in which \( A D= \)
BC. If \( P, Q, R, S \) be the mid-points of \( A B \)
\( A C, C D \) and \( B D \) respectively, show that PQRS is a rhombus.
| 2 |
Maths
|
Let \( C \) be the set of all complex numbers
and \( C_{0} \) be the set of all non-zero
complex numbers. Let a relation \( \boldsymbol{R} \) on
\( C_{0} \) be defined as
\( z_{1} R z_{2} \Leftrightarrow \frac{z_{1}-z_{2}}{z_{1}-z_{2}} \) is real for all \( z_{1}, z_{2} \in \)
\( C_{0} \)
Show that \( R \) is an equivalence relation.
| 2 |
Maths
|
Which of the following is the correct one
\( ? \)
A. The resistivity of an alloy is equal that of pure metals.
B. The resistivity of an alloy is lower than that of pure metals
c. The resistivity of an alloy is higher than that of pure metals
D. None of above
| 3 |
Physics
|
A piece of ice at 0 is put into a vessel containing water at \( 0 . \) The ice will
A. melt
B. not melt
c. slightly melt
D. vanish in no time
| 3 |
Physics
|
If \( \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{0} & \mathbf{1} \\ \mathbf{1} & \mathbf{0}\end{array}\right], \) then \( \boldsymbol{A}^{4}= \)
A. \( \left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \)
в. \( \left[\begin{array}{ll}1 & 1 \\ 0 & 0\end{array}\right] \)
c. \( \left[\begin{array}{ll}0 & 0 \\ 1 & 1\end{array}\right] \)
D. \( \left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right] \)
| 2 |
Maths
|
Which of the following organs absorbs food nutrients through villi?
A. Small intestine
B. Oesophagus
c. Rectum
D. Stomach
| 0 |
Biology
|
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