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If two parallel lines are cut by a transversal, then each pair of
corresponding angle are
A . congruent
B. obtuse
c. acute
D. \( 90^{\circ} \)
| 2 |
Maths
|
In the colloidal state the particle size
ranges:
A. below 1 nm
B. between \( 1 \mathrm{nm} \) to \( 1000 \mathrm{nm} \)
c. less than 100 nm
D. None of the above
| 1 |
Chemistry
|
A Zener diode
A. is a lightly doped junction diode
B. heavily doped junction diode.
C . is either p-type or n-type.
D. has no p-njunction.
| 3 |
Physics
|
First experiment related to the method of hydroponics was done by
A. Knop
в. ні||
c. Arnon
D. sachs
| 0 |
Biology
|
Integrate the rational function \( \frac{1}{\left(e^{x}-1\right)} \)
| 2 |
Maths
|
A box contains 100 tickets numbered
\( 1,2, \dots, 100 . \) Two tickets are chosen at random. It is given that the maximum number on the two chosen tickets is not
more than \( 10 . \) The probability that the
minimum number on them is 5 is
A \( \cdot \frac{1}{9} \)
B. \( \frac{2}{9} \)
\( c \cdot \frac{3}{9} \)
D. \( \frac{4}{9} \)
| 2 |
Maths
|
Which of the following statements
regarding hydrogen peroxide is false?
A. It is a strong oxidising agent
B. It is decomposed by \( M n O_{2} \)
C. It behaves as a reducing agent
D. It is more stable in Basic solution
| 1 |
Chemistry
|
The instrument that is based on the
principle that when an object is placed between first principal focus and the optic centre of convex lens, an upright, virtual and enlarged image on the same side of the object is formed, is
A. Telescope
B. Projector
c. camera
D. simple microscope
| 3 |
Physics
|
The cost of pair of shoes is \( R s .450 . \) The
sales tax charged was \( 6 \% \). Find the bill
amount.
| 2 |
Maths
|
If \( A \) is a \( 3 \times 3 \) skew-symmetric matrix,
then the trace of \( A \) is equal to
A . -1
B.
c. \( |A| \)
D. 0
| 2 |
Maths
|
Which of the following statements are
incorrect ?
This question has multiple correct options
\( \mathbf{A} \cdot \ln B_{2} H_{6}(s) \) there are four \( 2 c-2 e^{-} \) bonds
B. \( \ln \left(\text { Si } H_{3} \text { ) }_{3} \ddot{P} \) there is back bonding \right.
\( \mathrm{C} \cdot\left(C H_{3}\right)_{3} \ddot{N} \) and \( \left(S i H_{3}\right)_{3} \ddot{N} \) are pyramidal
D. \( A l_{2} C l_{6}(s) \) has banana bonding
| 1 |
Chemistry
|
Find the magnetic field at \( P \) due to the
arrangement shown
A \( \cdot \frac{\mu_{0} \mathrm{i}}{\sqrt{2} \pi \mathrm{d}}\left(1-\frac{1}{\sqrt{2}}\right) \otimes \)
B. \( \frac{2 \mu_{0} \mathrm{i}}{\sqrt{2} \pi \mathrm{d}} \otimes \)
C. \( \frac{\mu_{0} \mathrm{i}}{\sqrt{2} \pi \mathrm{d}} \otimes \)
D. \( \frac{\mu_{0} \mathrm{i}}{\sqrt{2} \pi \mathrm{d}}\left(1+\frac{1}{\sqrt{2}}\right) \otimes \)
| 3 |
Physics
|
The specific heat of a gas in a polytropic process is given by
A. \( \frac{R}{\gamma-1}+\frac{R}{N-1} \)
в. \( \frac{R}{1-\gamma}+\frac{R}{1-N} \)
c. \( \frac{R}{\gamma-1}-\frac{R}{N-1} \)
D. \( \frac{R}{1-\gamma}-\frac{R}{1-N} \)
| 3 |
Physics
|
The displacement-time graph being a straight line parallel to the displacement axis implies
A . infinite velocity
B. zero velocity
c. positive velocity
D. negative velocity
| 3 |
Physics
|
Assertion
van Arkel method is used for refining of
zinc.
Reason
In this method impure metal is evaporated to obtain the pure metal as
distillate.
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
|
A train is travelling at a speed of \( 108 k m / h . \) Brakes are applied so as to
produce a uniform retardation of \( 1 m / s^{2} . \) Find how far the train will go before it is brought to rest:
\( \mathbf{A} .800 m \)
B. \( 450 m \)
c. \( 1000 m \)
D. \( 1050 m \)
| 3 |
Physics
|
\( \lim _{n \rightarrow \infty} \frac{2^{3}-1^{3}}{2^{3}+1^{3}} \cdot \frac{3^{3}-1^{3}}{3^{3}+1^{3}} \cdots \frac{n^{3}-1}{n^{3}+1} \)
equals
A \( \cdot \frac{1}{3} \)
B. \( \frac{2}{3} \)
c.
D.
| 2 |
Maths
|
Name the parts of the electromagnetic spectrum which is
(a) suitable for radar systems used in
aircraft navigation
(b) used to treat muscular strain
(c) used as a diagnostic tool in medicine
Write in brief, how these waves can be
produced
| 3 |
Physics
|
Epidemic jaundice can occur in which of the following conditions?
A. Hepatitia A
B. Hepatitia B
c. Hepatitia c
D. Hepatitia D
| 0 |
Biology
|
A demagnetize a small ferromagnet, a current of \( 2 A \) is required to be passed
in a solenoid of length \( 20 \mathrm{cm} \) and
number of turns 100. The coercivity of
the magnet is:
B. \( 1000 A m^{-1} \)
c. \( 1250 A m^{-1} \)
D. \( 3750 A m^{-1} \)
| 3 |
Physics
|
A beam of light consisting of red, green and blue colors is incident on a rightangled prism. The refractive indices of the material of the prism for the above red, green, and blue wavelengths are \( 1.39,1.44, \) and \( 1.47, \) respectively. The prism will
A. separate part of the red color from the green and blue color
B. separate part of the blue color from the red and green color
c. separate all the three colors from one another
D. not separate even partially any color from the other two colors
| 3 |
Physics
|
The value of \( x \) is :
A . 3
B. 4
\( c .5 \)
D. 6
| 1 |
Chemistry
|
The gametophytic generation in pteridophytes is commonly called
A. Thallus
B. Plant body
c. Prothallus
D. Protonema
| 0 |
Biology
|
Prove that: \( \sec ^{6} \boldsymbol{A}-\tan ^{6} \boldsymbol{A}=\mathbf{1}+ \)
\( \mathbf{3} \tan ^{2} \boldsymbol{A}+\mathbf{3} \tan ^{\mathbf{4}} \boldsymbol{A} \)
| 2 |
Maths
|
Chlorine acts as bleaching agent only in
presence of :
A. Sunlight
B. Moisture
c. Dry air
D. Pure oxygen
| 1 |
Chemistry
|
Which one of the following is the
structure of polyacrylonitrile?
\( \left(\begin{array}{c}C H_{2}-C H \\ _{C l}\end{array}\right) \)
\( \left(\begin{array}{cc}c & c^{l} \\ C H_{2}-c & l \\ & \mid \\ c l\end{array}\right) \)
\( \left(\begin{array}{cc} & C N \\ C H_{2}- & C \\ & _{C O O C H_{3}}\end{array}\right) \)
| 1 |
Chemistry
|
If \( 2 x-7-5 x^{2} \) has maximum value at
\( x=a, \) then \( a=\dots \dots \)
A. \( -1 / 5 \)
в. \( 1 / 5 \)
\( c \cdot 34 / 5 \)
D. \( -34 / 5 \)
| 2 |
Maths
|
Find the absolute maximum and
minimum values of function given by
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}-\mathbf{4} \boldsymbol{x}+\mathbf{8} \) in the interval \( [\mathbf{1}, \mathbf{5}] \)
| 2 |
Maths
|
In the given figure, find
\( \angle C F B \)
| 2 |
Maths
|
In which of the following solvent/(s), aldehydes and ketones are soluble?
A. Alcohol
B. ether
c. benzene
D. All of the above
| 1 |
Chemistry
|
Which one of the following is not a strong electrolyte?
A. \( H C l \)
в. \( H N O_{3} \)
c. \( H_{2} S O_{4} \)
D. \( H C O O H \)
| 1 |
Chemistry
|
Which one of the following is an amphoteric oxide?
\( A \cdot S O_{2} \)
в. \( B_{2} O_{3} \)
\( c \cdot Z n O \)
D. \( N a_{2} O \)
| 1 |
Chemistry
|
A cylindrical tennis ball container can
contain maximum three ball stacked on
one another. The top and bottom balls
also touch the lid and the base of the
base of the container respectively. If the
volume of a tennis ball is \( 240 \mathrm{cm}^{3} \), then
what is the volume of the container?
A \( \cdot 1080 \mathrm{cm}^{3} \)
B. \( 840 \mathrm{cm}^{3} \)
c. \( 1440 \mathrm{cm}^{3} \)
D. \( 720 \mathrm{cm}^{3} \)
| 2 |
Maths
|
If \( X, Y, Z \) are the three sums of money
such that \( Y \) is a simple interest on \( X \)
and \( Z \) is a simple interest on \( Y \) for
same time and rate, then
\( \mathbf{A} \cdot X^{2}=Y Z \)
В. \( Y^{2}=Z X \)
c. \( Z^{2}=X Y \)
D. \( X Y Z=1 \)
| 2 |
Maths
|
Find the quotient the and remainder of the following division:
\( \left(2 x^{2}-3 x-14\right) \div(x+2) \)
| 2 |
Maths
|
Photon of frequency \( \boldsymbol{v} \) has a momentum
associated with it. If \( c \) is the velocity of
light, the momentum is :
\( \mathbf{A} \cdot v / c \)
B. hv \( c \)
c. \( h v / c^{2} \)
D. \( h v / c \)
| 3 |
Physics
|
Which of the following elements shows the property of catenation?
A .
B. Li
c. Ве
\( D \)
| 1 |
Chemistry
|
The electron density of \( 3 d_{x y} \) orbital in \( Y Z \) plane is:
A . 50\%
B. 95\%
c. 33.33\%
D. 0\%
| 1 |
Chemistry
|
With reference to a right handed system of mutually perpendicular unit vectors \( i, j, k, \alpha=3 i-j \) and \( \beta=2 i+j-3 k . \)
\( \beta=\beta_{1}+\beta_{2}, \) where \( \beta_{1} \) is parallel to \( \alpha \)
and \( \beta_{2} \) is perpendicular to \( \alpha, \) then This question has multiple correct options
A \( , \beta_{1}=\frac{3}{2} i+\frac{1}{2} j \)
в. \( \beta_{1}=\frac{3}{2} i-\frac{1}{2} j \)
c. \( _{\beta_{2}}=\frac{1}{2} i+\frac{3}{2} j-3 k \)
D. \( _{\beta_{2}}=\frac{1}{2} i-\frac{3}{2} j-3 k \)
| 2 |
Maths
|
Which of the following is correct?
A \( \cdot \vec{a} \cdot(\vec{b}+\vec{c}) \) is equal to \( \vec{a} \cdot \vec{b}+\vec{d} \cdot \vec{c} \)
В . \( \vec{a} .(\vec{b}+\vec{c}) \) is equal to \( \vec{a} \cdot \vec{b}-\vec{d} . \vec{c} \).
c. \( \vec{a} \times(\vec{b}+\vec{c}) \) is equal to \( \vec{a} \cdot \vec{b}+\vec{a} \cdot \vec{c} \)
D. All of the above
| 2 |
Maths
|
Formaldehyde polymerises to give:
A. Paraformaldehyde
B. Paraldehyde
c. Formalin
D. Formic acid
| 1 |
Chemistry
|
If the cube root of a number, which is 8
more than a number \( n \) equals \( -0.5, \) find
the value of \( n \)
A . -15.625
в. -8.794
c. -8.125
D. -7.875
E . 421.875
| 2 |
Maths
|
The common characters between
tomato and potato will be maximum at the level of their
A. Order
B. Division
c. Genus
D. Family
| 0 |
Biology
|
Peak of the density/pressure distance curve represents:
A. maximum rarefaction
B. maximum compression
c. minimum compression
D. minimum rarefacton
| 3 |
Physics
|
If 400 dollars is deposited in a bank account for 4 years at \( 8 \% \) per annum. Compare interest using simple interest formula and compound interest formula
This question has multiple correct options
A . \( \mathrm{Cl}=144.195 \)
B. \( \mathrm{S} 1=200 \)
c. \( \mathrm{c} 1>\mathrm{s} \)
D. SI <C
| 2 |
Maths
|
\( \lim _{x \rightarrow-1^{+}} \frac{\sqrt{\pi}-\sqrt{\cos ^{-1} x}}{\sqrt{x+1}} \) is equal to
A \( \cdot \frac{1}{\sqrt{2}} \)
в. \( \frac{1}{\sqrt{2 \pi}} \)
c. \( \frac{1}{\sqrt{\pi}} \)
D. none of these
| 2 |
Maths
|
Find the values of \( c \) that satisfy the MVT
for integrals on [-2,3]
\( \boldsymbol{f}(\boldsymbol{t})=\mathbf{8} \boldsymbol{t}+\boldsymbol{e}^{-\boldsymbol{3} \boldsymbol{t}} \)
В. \( c=-0.0973 \)
c. \( c=1.0973 \)
D. \( c=0.0973 \)
| 2 |
Maths
|
For \( \mathrm{NADPH}+\boldsymbol{H}^{+} \) formation
A . only PS lis required
B. only PS II is required
c. both PS I and PS I I are required
D. only stroma is required
| 0 |
Biology
|
The acceleration of free fall for object moving near the surface of Earth is:
A \( \cdot 9.81 m s^{-2} \)
B. \( 9.31 m s^{-2} \)
c. \( 8.81 m s^{-2} \)
D. \( 10.81 m s^{-2} \)
| 3 |
Physics
|
Which oxide of nitrogen exist as hydrated form in solid state.
A. Nitrous oxide
B. Nitrogen trioxide
c. nitrogen dioxide
D. Nitrogen pentaoxide
| 1 |
Chemistry
|
Probability of getting a prime (or) composite is
A. Mutually exclusive
B. Likely
c. 0
D. None
| 2 |
Maths
|
The magnetic filed (dB) due to smaller element (dl) at a distance \( (\vec{r}) \) from element carrying current i, is
\( ^{\mathbf{A}} \cdot d B=\frac{\mu_{0} i}{4 \pi}\left(\frac{\vec{d} l \times \vec{r}}{r}\right) \)
B. \( d B=\frac{\mu_{0} i}{4 \pi} i^{2}\left(\frac{\vec{d} l \times \vec{r}}{r^{2}}\right) \)
\( ^{\mathbf{c}} d B=\frac{\mu_{0} i^{3}}{4 \pi} i\left(\frac{\vec{d} l \times \vec{r}}{2 r^{2}}\right) \)
\( ^{\mathrm{D}} d B=\frac{\mu_{0}}{4 \pi} i\left(\frac{\vec{d} l \times \vec{r}}{r^{3}}\right) \)
| 3 |
Physics
|
When copper is treated with a certain
concentration of nitric acid, nitric oxide
and nitrogen dioxide are liberated in equal volumes according to the equation:
\( \boldsymbol{x} \boldsymbol{C u}+\boldsymbol{y} \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \longrightarrow \boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2}+ \)
\( N O+N O_{2}+H_{2} O \)
The coefficients of \( x \) and \( y \) are
respectively:
\( A \cdot 2 \) and 3
B. 2 and 6
c. 1 and 3
D. 3 and 8
| 1 |
Chemistry
|
Which of the following statement about hydrogen spectrum are correct? This question has multiple correct options
A. All the lines of Lyman series lie in ultraviolet region
B. All the lines of Balmer series lie in visible region
C. All the lines of Paschen series lie in infrared region
D. None of the above
| 3 |
Physics
|
What is the purpose of anode in a
Cathode ray tube?
A. To provide potential energy to electrons
B. To provide kinetic energy to protons
C . To provide potential energy to protons
D. To provide kinetic energy to electrons
| 3 |
Physics
|
If \( \frac{x+y-8}{2}=\frac{x+2 y-14}{3}=\frac{3 x-y}{4} \)
then the values of \( x \) and \( y \) is
A \( . x=1, y=3 \)
B. \( x=5, y=2 \)
c. \( x=3, y=3 \)
D. \( x=2, y=6 \)
| 2 |
Maths
|
Find the remainder when \( p(x)=x^{3}+ \)
\( 3 x^{2}+3 x+1, \) is divided by \( x \)
\( A \)
B.
\( c \cdot-1 \)
D.
| 2 |
Maths
|
A farmer wishes to start a 100 sq.m
rectangular vegetable garden. since he has only \( 30 \mathrm{m} \) barbed wire, he fences the sides of the rectangular garden letting his house compound wall act as the fourth side fence. Find the
dimension of the garden.
A. \( 20 m, 5 m \) or \( 10 m, 10 m \)
В. \( 2 m, 5 m \) or \( 10 m, 10 m \)
\( \mathrm{c} .20 \mathrm{m}, 5 \mathrm{m} \) or \( 1 \mathrm{m}, 10 \mathrm{m} \)
D. None of these
| 2 |
Maths
|
The oxide of nitrogen which forms dimer
is
| 1 |
Chemistry
|
Atom is the word derived from the Greek
word atomio, which means:
A. uncutable
B. cutable
c. in between
D. combined
| 1 |
Chemistry
|
In the given fig. if \( A D=B C \) and \( A D \| B C \)
then:
\( A, A B=A D \)
B. AB = DC
\( c \cdot B C=c D \)
D. None
| 2 |
Maths
|
After karyogamy followed by meiosis, spores are produced exogenously in
A. Agaricus
B. Neurospora
c. saccharomyces
D. Alternaria
| 0 |
Biology
|
Draw the graph of straight line \( y= \)
\( -2 x+3 . \) Use your graph to find the
area between the line and co-ordinate
axes.
A. 4.66 sq.units
B. 3.25 sq.units
c. 2.25 sq.units
D. 5.66 sq.units
| 2 |
Maths
|
Which of the following is/are example(s) of induced radioactivity
reaction?
Select correct statement(s)
A. Photon or particle is ionised and collected by the positive electrode in a Geiger counter
B. A scintillation counter contains a phosphor, a substance that emits a flash of light when struck by a photon or particle.
c. Both of the above
D. None of the aobve
| 1 |
Chemistry
|
At which temperature do the readings of the celcius and the Fahrenheit scales
coincide?
A . 0
в. 100
\( c .-40 \)
D. -80
E. None of the above
| 3 |
Physics
|
A block of carbon, \( 1.0 \mathrm{cm} \) by \( 2.0 \mathrm{cm} \) by
\( 5.0 \mathrm{cm}, \) has a resistance of 0.015
between its two smaller faces. What is
the resistivity of carbon?
A \( \cdot 1 \times 10^{-8} \Omega m \)
В. \( 2 \times 10^{-8} \Omega m \)
c. \( 4 \times 10^{-5} \Omega m \)
D. \( 6 \times 10^{-8} \Omega m \)
| 3 |
Physics
|
Rajkumar said to you that the magnetic field lines are open and they start at north pole of bar magnet and end at south pole. What questions do you ask Rajkumar to correct him by sayingfield lines are closed?
| 3 |
Physics
|
Which of the following is true in context
of Eddy currents?
A. By Lenz's law, an eddy current creates a magnetic field that opposes the magnetic field that created it.
B. Eddy currents are loops of electrical current induced within conductors by a changing magnetic field in the conductor, due to Faraday's law of induction
C. Eddy currents are a cause of energy loss in alternating current (AC) inductors, transformers, electric motors and generators etc.
D. All of the above
| 3 |
Physics
|
Pollution due to sewage can be reduced by
A. Creating separate chemical toilets.
B. Constructing septic tanks.
c. Letting off drainage in rivers.
D. Both A and B
| 0 |
Biology
|
If \( y \) is a function of \( x, \) then \( \frac{d^{2} y}{d x^{2}}+ \) \( y \frac{d y}{d x}=0 . \) If \( x \) is a function of \( y, \) then the
equation becomes
A \( \cdot \frac{d^{2} x}{d y^{2}}+x \frac{d x}{d y}=0 \)
в. \( \frac{d^{2} x}{d y^{2}}+y\left(\frac{d x}{d y}\right)^{3}=0 \)
c. \( \frac{d^{2} x}{d y^{2}}-y\left(\frac{d x}{d y}\right)^{2}=0 \)
D \( \cdot \frac{d^{2} x}{d y^{2}}-x\left(\frac{d x}{d y}\right)^{2}=0 \)
| 2 |
Maths
|
A moving electron has kinetic energy \( \boldsymbol{K} \) When a certain amount of work is done, it moves with one quarter of its velocity in opposite direction. Find the work in
terms of \( \boldsymbol{K} \)
A \( \cdot \frac{-15}{16} K \)
в. \( \frac{-17}{16} K \)
c. \( \frac{-5}{4} K \)
D. \( \frac{-3}{4} K \)
| 3 |
Physics
|
Both isotopes and isobars differ in their chemical properties. (True/False)
| 1 |
Chemistry
|
If \( a, b, c \) form a system of linearly independent vectors then show that the
system of vectors \( a-2 b+c, 2 a-b+c \)
and \( 3 a+b+2 c \) is also linearly
independent.
| 2 |
Maths
|
Aluminium is usually found in +3 oxidation state. In contrast, thallium
exists in +1 and +3 oxidation states.
This is due to:
A. lanthanoid contraction
B. lattice effect
c. diagonal relationship
D. inert pair effect
| 1 |
Chemistry
|
Gloal warming is a serious outcome of:
A. water pollution
B. land pollution
c. industrial pollution
D. none of the above
| 1 |
Chemistry
|
The diameters of two steel wires are in
the ratio \( 2: 3 . \) Their lengths are equal When same force is applied on them, the ratio of the elongation produced is
A .4: 9
B. 9: 4
c. 3: 2
D. 2: 3
| 3 |
Physics
|
Which of the following act for protection of body (defensive) in some Protozoa?
A. Nematocysts
B. Statocysts
c. Lasso cells
D. Trichocyst
| 0 |
Biology
|
Which is less acidic than phenol?
This question has multiple correct options
A. 2,4,6-Trimethyl phenol
в. \( C H_{3} \) ОН
c. p-Nitropheno
D. \( H_{2} O \)
| 1 |
Chemistry
|
Chlorobenzene is prepared commercially by
A. Raschig process
B. Wurtz Fitting reaction
c. Friedel-craft's reaction
D. Grignard reaction
| 1 |
Chemistry
|
An object executing SHM has an acceleration of \( 0.2 m / s^{2} \) at a distance of \( 0.05 m \) from position. Calculate the period of SHM in seconds.
A . 2.1435
B. 3.1428
c. 1.432
D. 4.321
| 3 |
Physics
|
Which graph best illustrates the electric potential along the \( x \) axis, from \( x=-a \operatorname{tox}=a ? \)
\( A \)
B. I
c. ॥॥
D. IV
| 3 |
Physics
|
A path 7 meters wide surrounds a
circular lawn \( 252 \mathrm{m} \) in diameter. Find
the area of path.
| 2 |
Maths
|
BOD of two samples of water A and B were \( 120 \mathrm{mg} / \mathrm{l} \) and \( 400 \mathrm{mg} / \mathrm{l} \)
respectively. Which sample is more polluted.
| 0 |
Biology
|
Tax on imports is an example of
A. Indirect tax
B. Trade barrier
c. Sales tax
D. Direct tax
| 2 |
Maths
|
Find the correct match
\( A \)
\( A-3, B-6, C-2, D-5, E-4 \)
, E -
B. \( A-5, B-2, C-3, D-6 \)
\( C \cdot A-3, B-1, C-2, D-5, E-4 \)
D. \( A-4, B-6, C-5, D-2 \)
| 0 |
Biology
|
Hypermetropia is a synonym for:
A. Short-sight defect
B. Long sight defect
c. Bad vision due to old age
D. None of these
| 3 |
Physics
|
\( \int e^{x} \cos x d x=\frac{e^{x}}{2} f(x)+C \) then range of
\( f(x) \$ \$=\dots \)
A . [0,1]
в. [-1,1]
c. [-1,0]
D. \( [-\sqrt{2}, \sqrt{2}] \)
| 2 |
Maths
|
Evaluate: \( \lim _{x \rightarrow 2} \frac{x-2}{\sqrt{x+2}-2} \)
| 2 |
Maths
|
A sphere of radius \( r \) lies inside a cube
and touches each of the six sides of the
cube. Calculate the volume of the cube
in terms of \( r \)
A \( \cdot r^{3} \)
B \( .2 r^{3} \)
\( c \cdot 4 r^{3} \)
D. \( \frac{4}{3} \pi r^{3} \)
E \( .8 r^{3} \)
| 2 |
Maths
|
Which of the following statement is
incorrect?
A. Non-metals are electro-positive in nature
B. Metals are electro-positive in nature
C. Metals are present on the left hand side of the periodic table
D. Non-metals are present on the right hand side of the periodic table
| 1 |
Chemistry
|
Evaluate:
\[
\begin{array}{l}
\tan ^{-1}\left(-\frac{1}{\sqrt{3}}\right)+\tan ^{-1}(-\sqrt{3})+ \\
\tan ^{-1}\left(\sin \left(-\frac{\pi}{2}\right)\right)
\end{array}
\]
| 2 |
Maths
|
The maximum number of hydrogen
bonds that can be formed by a water
molecule are:
| 1 |
Chemistry
|
Write one word for each of the following:
(a) A group of similar cells to perform a specific function.
(b) Cells least specialised in the plants.
(c) Cells responsible for increase in diameter of the stem and root of dicot
plants.
| 0 |
Biology
|
The maximum speed of a particle o a
trailing wave is \( v_{0}, \) then find the speed
of a particle wen the displacement is half of the maximum value
A \( \cdot \frac{v_{0}}{2} \)
в. \( \frac{\sqrt{3} v_{0}}{2} \)
c. \( \frac{\sqrt{3} v_{0}}{4} \)
D. \( v_{0} \)
| 3 |
Physics
|
The standard oxidation potential of Zn referred to SHE is \( 0.76 \mathrm{V} \) and that of \( \mathrm{Cu} \)
is \( -0.34 V \) at \( 25^{\circ} \mathrm{C} . \) When excess of Zn
is added to \( C u S O_{4}, Z n \) displaces
\( C u^{2+} \) till equilibrium is reached. What
is the ratio of \( Z n^{2+} \) to \( C u^{2+} \) ions at
equilibrium? Express the ans in the form \( \left[Z n^{2+}\right] /\left[C u^{2+}\right]=k \times 10^{37}, \) and find \( k \)
A .1 .94
в. 2.34
c. 1.45
D. none of these
| 1 |
Chemistry
|
Which one of the following body functions is not performed by kidneys?
A. Excretion
B. osmoregulation
c. Regulation of blood volume
D. Destruction of dead blood corpuscles
| 0 |
Biology
|
Taking force,length and time to be the fundamental quantities.Find the direction, density,momentum and
energy
| 3 |
Physics
|
The relation between \( u, v \) and \( f \) for a
mirror is given by
A \( \cdot f=\frac{u \times v}{u-v} \)
в. \( f=\frac{2 u \times v}{u+v} \)
c. \( _{f}=\frac{u \times v}{u+v} \)
D. \( f=\frac{u-v}{u+v} \)
| 3 |
Physics
|
The value of \( \mathbf{M} \) is:
\( (\mathbf{A}) \)
\( A \cdot 2 \)
\( B .3 \)
\( c \cdot 4 \)
\( D \cdot 5 \)
| 1 |
Chemistry
|
In a trapezium \( A B C D, \) side \( A B \) is parallel to side \( \mathrm{DC} ; \) and the diagonals \( \mathrm{AC} \) and \( \mathrm{BD} \)
intersect each other at a point
Such that:
\( \boldsymbol{P A} \times \boldsymbol{P D}=\boldsymbol{P B} \times \boldsymbol{P C} \)
A. True
B. False
| 2 |
Maths
|
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