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The value of gravitational acceleration 'g' at a height 'h' above the earth's surface is \( \frac{g}{4} \) then \( (R= \) radius of earth)
\( \mathbf{A} \cdot h=R \)
в. \( h=\frac{R}{2} \)
\( c \cdot h=\frac{R}{3} \)
D. \( h=\frac{R}{4} \)
| 3 |
Physics
|
Figure shows three cases: in all cases
the circular part has radius \( r \) and
straight ones are infinitely long. For the
same current the ratio of field \( B \) at
center \( P \) in the three cases \( B_{1}: B_{2}: B_{3} \)
is :
\( ^{\mathrm{A}} \cdot\left(-\frac{\pi}{2}\right):\left(\frac{\pi}{2}\right):\left(\frac{3 \pi}{4}-\frac{1}{2}\right) \)
\( ^{\mathrm{B}} \cdot\left(-\frac{\pi}{2}+1\right):\left(\frac{\pi}{2}+1\right):\left(\frac{3 \pi}{4}+\frac{1}{2}\right) \)
\( ^{c} \cdot\left(-\frac{\pi}{2}\right):\left(\frac{\pi}{2}\right):\left(\frac{3 \pi}{4}\right) \)
\( \left(-\frac{\pi}{2}-1\right):\left(\frac{\pi}{2}-\frac{1}{4}\right):\left(\frac{3 \pi}{4}+\frac{1}{2}\right) \)
| 3 |
Physics
|
against the inner surface of a
larger sphere of radius 6 R. The masses of large and small spheres are \( 4 \mathrm{M} \) and
M respectively. This arrangement is placed on a horizontal table as shown.
There is no friction between any
surfaces of contact. The small sphere is
now released. The coordinates of the
centre of the large sphere when the
smaller sphere reaches the other
extreme position is
A \( \cdot(L-2 R, 0) \)
B. \( (L+2 R, O) \)
c. \( (2 R, 0) \)
D. \( (2 R-L \)
| 3 |
Physics
|
Which of the following soluble in water?
A. \( C H_{3} O H \)
в. \( C H C l_{3} \)
c. \( C C l_{4} \)
D. \( C S_{2} \)
| 1 |
Chemistry
|
Use identities to evaluate : \( (502)^{2} \)
A .1,62,004
в. 1,22,004
c. 2,12,004
D. 2,52,004
| 2 |
Maths
|
An ideal fluid is flowing in a tube of varying cross-section. At some point the radius of the tube is \( r \) and the velocity
of flow is \( v \). The velocity of flow at
another point, where the radius is \( r / 2 \)
is
A.
в. \( \frac{v}{2} \)
\( c \cdot 2 v \)
D. \( 4 v \)
| 3 |
Physics
|
When phenolphthalein is added to
NaOH, the colour of the solution will
become
A. colourless
B. red
c. pink
D. yellow
| 1 |
Chemistry
|
The electric potential due to a dipole at a point on the perpendicular bisector of its length is :
A. maximum
B. minimum
c. 0
D. None of these
| 3 |
Physics
|
Find the values of \( a \) and \( b \) such that the
function defined by \( \boldsymbol{f}(\boldsymbol{x})= \) \( \left\{\begin{array}{ccc}5, & \text { if } & x \leq 2 \\ a x+b, & \text { if } & 2<x<10 \text { is } \\ 21, & \text { if } & x \geq 10\end{array}\right. \)
continuous function.
| 2 |
Maths
|
Which of the following foods are rich in Vitamin A?
A. Carrot
B. Cauliflower
c. Green Chillies
D. Beans
| 3 |
Physics
|
Electric current is due to flow of charge
carriers in the conductors. Which of the
following is/are correct?
This question has multiple correct options
A. The drift speed of charge carriers is a very small fraction of the mean thermal agitation speed of the same charge carriers
B. The number of charge carriers per unit volume is always the same as the number of atoms of the conductor per unit volume
C. The drift velocity is proportional to the electric field applied ordinarily
D. In an intrinsic semiconductor, the charge carriers are either electrons only or holes only; both of them may not participate in conduction
| 3 |
Physics
|
Assertion
The gases \( H e \) and \( H_{2} \) are very different
in their behaviour at any temperature and pressure but their compressibility
factors are nearly the same at the
critical point.
Reason
They have nearly the same critical
constant.
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
|
In sodium extract nitrogen is present
as:
A. sodamide
B. sodium cyanide
c. sodium nitrite
D. sodium nitrate
| 1 |
Chemistry
|
Ramesh mixed some iron filings with
sulphur powder in a China dish. In
another dish, he mixed iron filings and
sulphur powder and heated the mixture.
Which of his observations is not
correct?
A. Dish \( X \) shows a physical change while dish \( Y \) shows chemical change.
B. In dish \( X \) sulphur powder and iron filings can be seen separately.
C. In dish \( Y \) a new substance is formed on heating the mixture.
D. The change which has taken place in dish \( Y \) is reversible
| 1 |
Chemistry
|
The two ends of a train moving with uniform acceleration pass a certain point with velocities 6 kmph and 8 kmph respectively. What is the velocity with which the middle point of the train
passes the same point?
\( A .7 \mathrm{kmph} \)
B. \( 2 \sqrt{5} \) kmph
c. \( 2 \sqrt{10} \mathrm{kmph} \)
D. 7.5 kmph
| 3 |
Physics
|
If speed of infrasonics, audible and
ultrasonics waves are \( v_{i}, v_{a} \) and \( v_{u} \) then
A \( \cdot v_{i}>v_{a}>v_{u} \)
В . \( v_{i}=v_{a}=v_{u} \)
c. \( v_{i}<v_{a}<v_{u} \)
D. \( v_{i}>v_{a}, v_{u}>v_{a} \)
| 3 |
Physics
|
Oxidation of cyclohexene in presence of acidic potassium permanganate leads
to.
A . Glutaric acid
B. Adipic acid
c. Pimelic acid
D. succinic acid
| 1 |
Chemistry
|
What is a flower? Describe the parts of a
typical angiosperm flower
| 0 |
Biology
|
Evaluate: \( \lim _{x \rightarrow \frac{\pi}{2}}\left(2 x \tan x-\frac{\pi}{\cos x}\right) \)
| 2 |
Maths
|
correct major product formed?
This question has multiple correct options
\( A \)
B
\( c \)
\( D \)
| 1 |
Chemistry
|
The globular head of myosin contains
A. Calcium ions in large quantities
B. Troponin
c. ATPase enzyme
D. ATP
| 0 |
Biology
|
TEL, tetra ethyl lead, acts as an antiknocking agent. It acts as
A. negative catalyst
B. catalyst
c. electophile
D. nucleophile
| 1 |
Chemistry
|
Which of the following statements is the converse of "If the moon is full, then
the vampires are prowling."?
A. If the vampires are prowling, then the moon is full.
B. If the moon is not full, then the vampires are prowling
C. If the vampires are not prowling, then the moon is not full
D. None of these
| 2 |
Maths
|
A feather of mass \( m \) and a hammer of
mass \( 100 m \) are both released from rest
from the same height on the surface of the moon. Mass of moon is \( M \) and
radius of moon is \( R \). Both feather and
hammer are released simultaneously. What is the acceleration of the
hammer?
A \( \cdot \frac{m v^{2}}{r} \)
в. \( \frac{G M}{R^{2}} \)
c. \( \frac{G M m}{R^{2}} \)
D. \( _{100} \frac{G M}{R^{2}} \)
E \( \cdot_{100} \frac{G M m}{R^{2}} \)
| 3 |
Physics
|
The two rails of a railway track,
insulated from each other and the
ground, are connected to millivoltmeter. What is the reading of the
millivoltmeter when a train passes at a
speed of \( 180 \mathrm{km} / \mathrm{hr} \) along the track,
given that the vertical component of
earth's magnetic field is \( 0.2 \times \)
\( 10^{-4} w b / m^{2} \) and rails are separated by 1
metre
A \( \cdot 10^{-1} \) volt
B. \( 10 \mathrm{mV} \)
c. 1 volt
\( \mathbf{D} \cdot 1 m V \)
| 3 |
Physics
|
Let \( C \) be the circle with centre at (1,1)
and radius \( =1 . \) If \( T \) is the circle
centered at \( (0, y), \) passing through origin and touching the circle \( C \)
externally, then the radius of \( T \) is equal
to :
A \( \cdot \frac{\sqrt{3}}{\sqrt{2}} \)
B. \( \frac{\sqrt{3}}{2} \)
\( c \cdot \frac{1}{2} \)
D.
| 2 |
Maths
|
\( \cos ^{-1}\left(2 x^{2}-1\right), 0 \leq x \leq 1, \) is equal to
| 2 |
Maths
|
What is the time (in sec) requried for depositing all the silver present in
\( 125 m L \) of \( 1 M A g N O_{3} \) solution by
passing a current of \( 241.24 A ? \) \( (1 F=96500 \text { coulombs }) \)
A . 10
B. 50
c. 100
D. 90
| 1 |
Chemistry
|
Which hormone stimulates the gastric glands to release the gastric secretion?
A. Enterogastrone
B. Gastrin
c. Pancreozymin
D. cholecystokinin
| 0 |
Biology
|
Select the correct group(s) of reagent(s)
used in the following conversions:
A \( \cdot I \Rightarrow d i l . H N O_{3}, I I \Rightarrow N a_{2} C r_{2} O_{7} / H_{2} S O_{4}, I I I \Rightarrow \)
\( K M n O_{4} / N a O H, I V \Rightarrow P b O_{4} / O^{\ominus} H, H_{3} O \oplus \)
B . \( I \Rightarrow \operatorname{dilH} N O_{3}, I I \Rightarrow K M n O_{4} / H^{\oplus}, I I I \Rightarrow \)
\( K M n O_{4} / N a O H, I V \Rightarrow T s C l+ \)acidicKMnO\( _{4}+H_{2} O \)
C \( \cdot I \Rightarrow K M n O_{4} / N a O H, I I \Rightarrow N a_{2} C r_{2} O_{7} / H^{\oplus}, I I I \Rightarrow \)
\( K M n O_{4} / O^{\ominus} H, I V \Rightarrow d i l . H N O_{3} \)
D. \( I \Rightarrow C r O_{3} / M e C O O H, I I \Rightarrow K M n O_{4} / O^{\ominus} H, I I I \Rightarrow \)
\( K M n O_{4} / H^{\oplus}, I V \Rightarrow d i l . H N O_{3} \)
| 1 |
Chemistry
|
The bunch of capillaries present in the Bowmans capsule is called
A. Paccinian corpuscle
B. Bowmans capsule
c. Glomerulus
D. Malpighian capsule
| 0 |
Biology
|
In acidic solution, \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) oxidises \( \boldsymbol{H} \boldsymbol{g} \) to:
A. \( H g_{2} O \)
в. \( \mathrm{HgSO}_{4} \)
c. Нg S
D. \( H g O \)
| 1 |
Chemistry
|
An egg cell has 5 picogram of genetic material in its nucleus. What amount of
material will be present in the organism
at the end of \( G_{2} \) -phase of mitosis?
A. \( 5 \mathrm{gm} \)
B. 5 picogram
c. 10 picogram
D. 20 picogram
| 0 |
Biology
|
Find the value of a if \( 2 x^{3}-6 x^{2}+ \)
\( 5 a x-9 \) leaves the remainder 13 when it
is divided by \( x-2 \)
| 2 |
Maths
|
State true or false.
A rhombus is a parallelogram.
A. True
B. False
| 2 |
Maths
|
When \( S O_{2} \) is passed through acidified
\( K_{2} C r_{2} O_{7} \) solution:
A. the solution turns blue.
B. the solution is decolourised
c. \( S O_{2} \) is reduced.
D. green \( C r_{2}\left(S O_{4}\right)_{3} \) is formed
| 1 |
Chemistry
|
Secondary succession takes place on/in
A. Newly created pond.
B. Newly cooled lava.
c. Bare rock.
D. Degraded forest.
| 0 |
Biology
|
All congruent figures are similar but the similar figures are not congruent.Is this statement true or false?
\( A \). False
B. Both A and C
c. True
D. Not applicable
| 2 |
Maths
|
Metal carbonates decompose on
heating to give metal oxide and carbon dioxide. Which of the metal carbonates
is most stable thermally?
A. \( M g C O_{3} \)
в. \( C a C O_{3} \)
\( \mathrm{c} \cdot \operatorname{Sr} \mathrm{CO}_{3} \)
D. \( B a C O_{3} \)
| 1 |
Chemistry
|
Three moles of oxygen are mixed with two moles of helium. What will be the
ratio of specific heats at constant pressure and constant volume for the
mixture?
A . 2.5
в. 3.
c. 1.5
D.
| 3 |
Physics
|
Upon oxidation of one molecule of
pyruvate by mitochondria, the number of ATP generated are
A . 38
B. 30
\( c \cdot 8 \)
D. 15
| 0 |
Biology
|
Assertion
The first IE of \( B e \) is greater than that of
\( \boldsymbol{B} \)
Reason
\( 2 p \) -orbital is lower in energy than \( 2 s \)
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 ratio in which \( x y- \) plane divides the line joining the points (1,0,-3) and (1,-5,7) is given by
A . 7: 3
в. 3: 7
\( c .3: 4 \)
D. 4: 7
| 2 |
Maths
|
f \( a r e a=900 s q . c m \) and breadth \( = \)
\( 25 \mathrm{cm}, \) then find length of rectangle.
| 2 |
Maths
|
If \( \angle A \) and \( \angle B \) are acute angles such
that \( \cos A=\cos B \) then prove that
\( \angle A=\angle B \)
| 2 |
Maths
|
I: If \( a, b, c \) are real, the roots of \( (b- \)
\( c) x^{2}+(c-a) x+(a-b)=0 \) are real
and equal, then \( a, b, c \) are in A.P.
Il: If \( a, b, c \) are real and the roots of \( \left(a^{2}+\right. \)
\( \left.\boldsymbol{b}^{2}\right) \boldsymbol{x}^{2}-\boldsymbol{2} \boldsymbol{b}(\boldsymbol{a}+\boldsymbol{c}) \boldsymbol{x}+\boldsymbol{b}^{2}+\boldsymbol{c}^{2}=\boldsymbol{0} \) are
real and equal, then \( a, b, c \) are in H.P.
Which of the above statement(s) is(are)
true?
A. only।
B. only II
c. both I and II
| 2 |
Maths
|
The product obtained as a result of a
reaction of nitrogen with \( C a C_{2} \) is:
A \( \cdot C a(C N)_{2} \)
в. \( C a C N \)
c. \( C a C N_{3} \)
D. \( C a_{2} C N \)
E. No option
| 1 |
Chemistry
|
If \( y=\tan ^{-1} \frac{\cos x+\sin x}{\cos x-\sin x}, \) then find \( \frac{d y}{d x} \)
| 2 |
Maths
|
\( \frac{(1+i)^{3}}{2+i} \) is equal to
A \( \cdot \frac{2}{5}-\frac{6}{5} \)
B.
c. \( -\frac{1}{5}+\frac{6}{5} i \)
D. \( -\frac{2}{5}+\frac{6}{5} \)
| 2 |
Maths
|
Find the degree of the following polynomial
\( \boldsymbol{x}^{2}-\mathbf{9} \boldsymbol{x}+\mathbf{2 0} \)
| 2 |
Maths
|
Which of the following salts when dissolved in water will produce an
acidic solution?
\( \mathbf{1} \cdot \boldsymbol{N} \boldsymbol{H}_{\mathbf{4}} \boldsymbol{C l} \)
2. \( \boldsymbol{K} \boldsymbol{H} \boldsymbol{S} \boldsymbol{O}_{4} \)
3. \( \boldsymbol{N a C N} \)
A .2 and 3
B. 1 and 2
c. only 3
D. 2 and 4
| 1 |
Chemistry
|
Two convex lenses of focal length \( 0.3 \mathrm{m} \)
and \( 0.05 \mathrm{m} \) are used to make a
telescope. The distance kept between
them is equal to
A . \( 0.35 \mathrm{m} \)
B. 0.25 \( m \)
\( c .0 .175 \mathrm{m} \)
D. 0.15 \( m \)
| 3 |
Physics
|
Silicon and hydrogen form a series of compounds with general formula
\( \boldsymbol{S} \boldsymbol{i}_{\boldsymbol{x}} \boldsymbol{H}_{\boldsymbol{y}} \cdot \mathbf{A} \boldsymbol{6} .2 \boldsymbol{2} \) g sample of the
compound is burnt in oxygen. All the \( S i \)
is converted to \( 11.64 g \) of \( S i O_{2} \) and all
of the \( H \) is converted to 6.980 gof \( H_{2} O \) What is the value of \( \frac{y}{x} ?(S i=28) \)
| 1 |
Chemistry
|
The letters of word \( O U G H T \) are written
in all possible orders and these words
are written out as in a dictionary. Find the rank of the word \( T O U G H \) in this dictionary.
\( A \cdot 89 \)
B. 90
c. 91
D. 92
| 2 |
Maths
|
lonisation constant of \( N H_{4}^{+} \) in water is \( 5.6 \times 10^{-10} \) at \( 25^{\circ} C . \) The rate constant
for reaction of \( N H_{4}^{+} \) and \( O H^{-} \) to form
\( N H_{3} \) and \( H_{2} O \) at \( 25^{\circ} C \) is \( 3.4 \times \) \( 10^{10} \) litre.mol\( ^{-1} . \)sec\( ^{-1} \). Calculate rate
constant for proton transfer from water to \( \boldsymbol{N} \boldsymbol{H}_{3} \)
| 1 |
Chemistry
|
A chord of a circle of radius \( 10 \mathrm{cm} \)
subtends a right angle at the centre. Find the area of the corresponding
\( (i) \)
Minor segment,
(ii) Major segment. (use \( \boldsymbol{\pi}=\mathbf{3 . 1 4}) \)
| 2 |
Maths
|
The principle value of \( \tan ^{-1}(-\sqrt{3}) \) is
A \( \cdot \frac{2 \pi}{3} \)
в. \( \frac{4 \pi}{3} \)
c. \( \frac{-\pi}{3} \)
D. none of these
| 2 |
Maths
|
The amount of heat energy required to raise the temperature of \( 1 g \) of helium
in a container of volume \( 10 L, \) from \( T_{1} K \)
to \( T_{2} K \) is \( \left(N_{a}= \) Avogadros number, \right.
\( k_{B}= \) Boltzmann constant
A \( \cdot \frac{3}{2} N_{a} k_{B}\left(T_{2}-T_{1}\right) \)
в. \( \frac{3}{7} N_{a} k_{B}\left(T_{2}-T_{1}\right) \)
c. \( \frac{3}{4} N_{a} k_{B}\left(T_{2}-T_{1}\right) \)
D \( \cdot \frac{3}{8} N_{a} k_{B}\left(T_{2}-T_{1}\right) \)
| 3 |
Physics
|
toppr
Q Type your question
uniform speed \( 20 \mathrm{m} / \mathrm{sec} . \) Size of
magnet is \( 2 \times 1 \times 2 \mathrm{cm} \) and size of coil
\( 4 \times 6 \mathrm{cm} \) as shown in figure. The correct
variation of induced emf with time is :
(Assume at \( t=0, \) the coil enters in the
magnetic field)
4
3
\( c \)
\( D \)
| 3 |
Physics
|
In Wheatstone's bridge the values of
resistors \( \mathrm{P} \) and \( \mathrm{Q} \) are respectively 3 and
x. If \( 4 \Omega \) and \( 2 \Omega \) are the values of
resistors \( \mathrm{R} \) and \( \mathrm{S} \) respectively, then \( \times \) is
\( A \)
B. 1.5
\( c \cdot 2.5 \)
\( D \cdot 2 \)
| 3 |
Physics
|
If a \( 3 \times 3 \) matrix \( A \) has its inverse equal
to \( A, \) then \( A^{2} \) is equal to
\( \mathbf{A} \cdot\left[\begin{array}{lll}0 & 1 & 0 \\ 1 & 1 & 1 \\ 0 & 1 & 0\end{array}\right] \)
\( \mathbf{B} \cdot\left[\begin{array}{lll}1 & 0 & 1 \\ 0 & 0 & 0 \\ 1 & 0 & 1\end{array}\right] \)
\( \mathbf{C} \cdot\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right] \)
\( \mathbf{D} \cdot\left[\begin{array}{lll}1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1\end{array}\right] \)
| 2 |
Maths
|
A boy weighing \( 500 \mathrm{N} \) is standing on the ground wearing a pair of flat shoes. The area of contact of one shoe with the
ground is \( 100 \mathrm{cm}^{2} \). What will be the
pressure exerted by the boy on the ground if he stands on both feet?
A \( \cdot 25000 N / m^{2} \)
в. \( 50000 N / m^{2} \)
c. \( 2500 N / m^{2} \)
D. \( 5000 N / m^{2} \)
| 3 |
Physics
|
Multiply:
\( -5 c d^{2} \) by \( -5 c d^{2} \)
\( \mathbf{A} \cdot 25 c^{2} d^{5} \)
\( \mathbf{B} \cdot 25 c^{3} d^{4} \)
\( \mathbf{C} \cdot 25 c^{2} d^{3} \)
D. \( 25 c^{2} d^{4} \)
| 2 |
Maths
|
What type of fibre is cotton?
A . Acid
B. Base
c. cellulose
D. Bast
| 1 |
Chemistry
|
If true enter 1 , if false enter 0 .
\( H_{3} P O_{3} \) is dibasic acid.
\( \mathbf{A} \cdot \mathbf{1} \)
| 1 |
Chemistry
|
Equation of the parabola whose vertex is (0,0) and focus is the point of intersection of the lines \( \boldsymbol{x}+\boldsymbol{y}= \)
\( 2,2 x-y=4 \) is
A \( \cdot y^{2}=2 x \)
в. \( y^{2}=4 x \)
c. \( y^{2}=8 x \)
D . \( x^{2}=8 y \)
| 2 |
Maths
|
The largest collection of herbarium in
India is
A. Central National Herbarium, Kolkata
B. Southern Circle Herbarium, Coimbatore
c. Central Circle Herbarium, Allahabadd
D. Blatter Herbarium, Mumbai
| 0 |
Biology
|
Three circles with centre \( A, B \) and \( C \)
respectively, touch one another as
shown in the figure. If \( A, B \) and \( C \) are
collinear and PQ is a common tangent
to the two smaller circles, where \( \mathrm{PQ}=4 \)
the area of shaded region is
| 2 |
Maths
|
A sound wave is travelling from East to West. In which direction do the
molecules in the air move?
A. East to west
B. West to East
c. North to South
D. South to North
| 3 |
Physics
|
Find the difference of air pressure between the inside and outside of a
soap bubble \( 5 m m \) in diameter, if the
surface tension is \( 1.6 N / m \)
A \( \cdot 2560 N / m^{2} \)
В. \( 3720 N / m^{2} \)
\( \mathrm{c} \cdot 1208 \mathrm{N} / \mathrm{m}^{2} \)
D. \( 950 N / m^{2} \)
| 3 |
Physics
|
Identify the error in the given statement Circle the incorrect word and write the
correct word in the blank.
Atoms have more than one kind of
particles combined together in a fixed ratio by mass.
| 1 |
Chemistry
|
How does resistivity of a conductor very with temperature coefficient of resistivity. Draw the graph of variation
of resistivity of a conductor with temperature.
| 3 |
Physics
|
\( \mathrm{X}^{\prime} \) speaks truth in \( 60 \% \& \) 'y' is \( 50 \% \) of the cases. The probability that they contradict each other while narrating
the same incident, is
A \( \cdot \frac{1}{2} \)
в. \( \frac{1}{8} \)
\( c \cdot \frac{1}{4} \)
D.
| 2 |
Maths
|
Lack of pulmonary surfactant produces
A. Asthma
B. Emphysema
c. cystic fibrosis
D. Respiratory distress syndrome
| 0 |
Biology
|
A photography dealer ordered 60 Mode
\( X \) cameras to be sold for \( \$ 250 \) each,
which represents a 20 percent mark up over the dealer's initial cost for each
camera. Of the cameras ordered, 6 were
never sold and were returned to the
manufacturer for a refund of 50 percent of the dealer's initial cost. What was
the dealer's approximate profit or loss
as a percent of the dealer's initial cost
for the 60 cameras?
A. \( 7 \% \) loss
B. \( 13 \% \) loss
c. \( 7 \% \) profit
D. \( 13 \% \) profit
E . \( 15 \% \) profit
| 2 |
Maths
|
Copper forms two oxides. For the same
amount of copper, twice as much oxygen was used to form the first oxide
than to form the second one. What is the
ratio of the valencies of copper in the
first and second oxides?
| 1 |
Chemistry
|
When 60 calories of heat are supplied to \( 15 \mathrm{g} \) of water, the rise in temperature is
A \( \cdot 75^{\circ} \mathrm{C} \)
В. \( 90^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 4^{\circ} C \)
D. \( 0.25^{\circ} \mathrm{C} \)
| 3 |
Physics
|
Cell is called as the structural and
functional units of life
because
A. All organisms are formed of cells.
B. All cells are biochemical reaction house
C. ATP is synthesized within cells.
D. All of the above
| 0 |
Biology
|
When \( M n O_{2} \) is fused with \( \mathrm{KOH} \) and
\( K C l O_{3}, \) a coloured compound is formed, the product and its colour is:
A \( \cdot K_{2} M n O_{4}, \) green
B . \( K M n O_{4} \), purple
c. \( M n_{2} O_{3} \), brown
D. \( M n_{3} O_{4} \), black
| 1 |
Chemistry
|
Assertion
A cyclist always bends inwards while
negotiating a curve.
Reason
By bending he lowers his centre of
gravity.
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
|
Oxidation number of nitrogen in which among the oxides of nitrogen is the lowest?
A. Nitric oxide
B. Nitrous oxide
c. Nitrogen dioxide
D. Dinitrogen trioxide
| 1 |
Chemistry
|
At the time of puberty, the hormone that
triggers changes is This question has multiple correct options
A. Testosterone
B. Estrogen
c. Adrenaline
D. Thyroxine
| 0 |
Biology
|
Find the surface area of a sphere (in
\( c m^{2} \) ) of radius: \( 14 \mathrm{cm} \)
| 2 |
Maths
|
Which one of the following is correct?
\( \mathbf{A} \cdot \sin 45^{0} \cos 45^{0}=1 \)
B \( \cdot \sin ^{2} 45^{0}-\cos ^{2} 45^{0}=1 \)
\( \mathbf{C} \cdot \sin 30^{0}+\cos 60^{0}=1 \)
D \( \cdot \cos ^{2} 30^{0}-\cos ^{2} 60^{0}=1 \)
| 2 |
Maths
|
In the given figure, \( B<A \) and \( D>C \)
then:
A \( . A D>B C \)
B . \( A D=B C \)
C \( . A D<B C \)
D. \( A D=2 B C \)
| 2 |
Maths
|
The value of rate of a pseudo first order
reaction depends upon:
A. the concentration of both the reactants present in the reaction
B. the concentration of the reactant present in small amount
c. the concentration of the reactant present in excess
D. the value of \( \Delta H \) of the reaction
| 1 |
Chemistry
|
Given figure shows a shovel used to lift earth (sand). A and B are hinges connecting the shovel to the two rods shown. The weight of the shovel and
sand is \( 12 k N \) acting at G. The
magnitude of the force \( F \) is \( 5 k N \). The
reactive force at B is :
(All dimension in \( c m \) )
A \( .0 k N \)
B. \( 9.8 k N \)
\( \begin{array}{ll}.17 .66 k N & N\end{array} \)
D. \( 20 k N \)
| 3 |
Physics
|
A hemisphere and a solid cone of same
density have a common base. The
centre of mass of the common structure
coincides with the centre of the
common base. If \( \boldsymbol{R} \) is the radius of
hemisphere and \( h \) is height of the cone, then :
\( \mathbf{A} \cdot \frac{h}{R}=\sqrt{3} \)
B. \( \frac{h}{R}=\frac{1}{\sqrt{3}} \)
\( ^{\mathbf{C}} \cdot \frac{h}{R}=3 \)
D \( \cdot \frac{h}{R}=\frac{1}{3} \)
| 3 |
Physics
|
Mention the specific type of isomerism exhibited by each of the following pairs
| 1 |
Chemistry
|
A type of electromagnetic wave has
wavelength \( 50 A \)
(i) Name the wave.
(ii) What is the speed of the wave in
vacuum ?
(iii) State one use of this type of wave.
| 3 |
Physics
|
Which of the following statements is
correct concerning the passage of white light into a glass prism?
A. All the colours of white light travel with the same speed
B. The violet colour travels slower than the red colour
C. The violet colour travels faster than the red colour
D. Greater the wavelength, slower the speed of colour
| 3 |
Physics
|
Corals belongs to the phylum
A. Porifera
B. Coelenterata
c. Mollusca
D. Echinodermata
| 0 |
Biology
|
The multiplicative inverse of \( \frac{1}{5} \) is
| 2 |
Maths
|
A person opens an account with 50 and
starts depositing every day double the amount he has deposited on the
previous day. Then find the amount he has deposited on the 10 th day from
the beginning.
A . 25000
B. 25600
c. 28500
D. 26500
| 2 |
Maths
|
State whether the given statement is true or false:
-150 is a term of A.P. \( 17,12,7,2, \dots \dots \dots \)
A. True
B. False
| 2 |
Maths
|
A bar magnet of magnetic moment \( 2 A m^{2} \) is free to rotate about a vertical axis passing through its center. The magnet is released from rest from east
west position. Then the KE of the magnet as it takes N-S position is
\( \left(B_{H}=25 \mu T\right) \)
A. \( 25 \mu J \)
в. \( 50 \mu J \)
c. \( 100 \mu J \)
D. \( 12.5 \mu J \)
| 3 |
Physics
|
If \( \boldsymbol{\alpha}, \boldsymbol{\beta}, \gamma \) are modulus of the complex
number \( 3+4 i,-5+12 i, 1-i, \) then
the increasing order for \( \alpha, \beta \) and \( \gamma \) is
A \( \cdot \alpha, \gamma, \beta \)
в. \( \alpha, \beta, \gamma \)
\( \mathrm{c} . \gamma, \alpha, \beta \)
D. can't be determined
| 2 |
Maths
|
If we cut the string slightly above the body, we see that the string
A. Moves upwards with a jerk
B. Moves downwards with a jerk
c. Both
D. None
| 3 |
Physics
|
Ine varıatıon or anoae current ın a
triode valve corresponding to a change
in grid potential at three different
values of the plate potential is shown in
the given figure. The mutual
conductance of triode is
\( \mathbf{A} \cdot 5 \times 10^{-3} m h o \)
B . \( 2.5 \times 10^{-3} \) mho
C. \( 7.5 \times 10^{-3} \) mho
D. \( 9.5 \times 10^{-3} \) mho
| 3 |
Physics
|
The structure of orthophosphoric acid
is:
\( A \)
B.
\( c \)
D.
| 1 |
Chemistry
|
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