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Assertion
Amoebiasis is caused by Amoeba
Reason
The protist feeds on red blood
corpuscles
A. If both the assertion and the reason are true and the
reason is a correct explanation of the assertion
B. If both the assertion and reason are true but the
reason is not a correct explanation of the assertion
C. If the assertion is true but the reason is false
D. If both the assertion and reason are false
| 0 |
Biology
|
The isotopes of carbon is used as radiocarbon dating.
A. \( C-12 \)
в. \( C-13 \)
c. \( C-14 \)
D. \( C-11 \)
| 1 |
Chemistry
|
When domestic sewage mixes with
river water
A. Small animals like rats will die after drinking river water
B. The increased microbial. activity releases micronutrients such as iron
C. The increased microbial activity uses up dissolved oxygen
D. The river water is still suitable for drinking as impurities are only about \( 0.1 \% \)
| 0 |
Biology
|
Two balls are dropped from different heights at different instants. Second
ball is dropped 2 sec after the first ball. If both balls reach the ground simutlanously after 5 sec of dropping the first ball, the difference of initial
heights of the two balls will be: \( (g= \)
\( 9.8 m / s^{2} \)
\( \mathbf{A} \cdot 58.8 m \)
B. \( 78.4 m \)
c. \( 98.0 m \)
D. \( 117.6 m \)
| 3 |
Physics
|
\( \int \frac{1+2 x^{2}}{x^{2}\left(1+x^{2}\right)} d x= \)
A. \( \quad \tan ^{-1} x+\frac{1}{x}+c \)
B. \( \tan ^{-1} x-\frac{1}{x}+c \)
c. \( \frac{\tan ^{-1} x}{x}+c \)
D. \( \frac{\tan ^{-1} x}{x^{2}}+c \)
| 2 |
Maths
|
Let \( A=\{1,2,3\} . \) Then number of
equivalence relations containing (1,2) is:
\( A \)
B. 2
\( c \cdot 3 \)
D. 4
| 2 |
Maths
|
Power dissipated in the resistor is \( \boldsymbol{P}= \)
A. \( V I \)
B . \( I^{2} R \)
\( ^{\mathrm{C}} \cdot \frac{V^{2}}{R} \)
D. Any of these
| 3 |
Physics
|
The chloro-bis (ethylenediamine)
nitrocobalt(III) ion is -
\( \mathbf{A} \cdot\left[\operatorname{Co}\left(N O_{2}\right)_{2}(e n)_{2} C l_{2}\right]^{+} \)
B. \( \left[\operatorname{CoCl}\left(N O_{2}\right)_{2}(e n)_{2}\right]^{+} \)
c. \( \left[\operatorname{Co}\left(N O_{2}\right) C l(e n)_{2}\right] \)
D. \( \left.[\operatorname{Co(en}) C l_{2}\left(N O_{2}\right)_{2}\right] \)
| 1 |
Chemistry
|
In the following reaction
\[
\begin{array}{c}
\boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{2}+\boldsymbol{B} \boldsymbol{r} \boldsymbol{O}_{3}^{-}+\boldsymbol{H}_{2} \boldsymbol{O} \longrightarrow \boldsymbol{X} \boldsymbol{e}+ \\
\boldsymbol{B r} \boldsymbol{O}_{4}^{-}+\mathbf{2} \boldsymbol{H} \boldsymbol{F}
\end{array}
\]
equivalent mass of \( B r O_{3}^{-}= \)
molar mass
| 1 |
Chemistry
|
Suppose the triangle \( A B C \) has an obtuse angle at \( C \) and let \( D \) be the midpoint of side AC Suppose E is on BC such that the segment DE is parallel to AB. Consider the following three statements
i) E is the midpoint of BC
ii) The length of DE is half the length of
\( A B \)
iii) DE bisects the altitude from \( C \) to \( A B \)
A. only (i) is true
B. only (i) and (ii) are true
c. only (i) and (iii) are true
D. all three are true
| 2 |
Maths
|
Equal amounts of \( (e, e) \) and \( (a, a) \) conformers of trans - 1, 2 - dichloro
cyclohexane exist in non-polar solvents but the (e, e) conformer exists in polar solvents. Explains.
| 1 |
Chemistry
|
On the basis of the following thermochemical data
\( \boldsymbol{H}_{2} \boldsymbol{O}_{(\boldsymbol{g})} \longrightarrow \boldsymbol{H}_{(a q)}^{+}+\boldsymbol{O} \boldsymbol{H}_{(a q)}^{-} ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( \mathbf{5 7 . 3 2 k J} \)
\( \boldsymbol{H}_{2(g)}+\frac{1}{2} \boldsymbol{O}_{2(g)} \longrightarrow \boldsymbol{H}_{2} \boldsymbol{O}_{(l)} ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -286.2 k J \)
The value of enthalpy of formation of
\( O H^{-} \) ion at \( 25^{\circ} C \) is:
\( \mathbf{A} \cdot+288.88 k J \)
в. \( -343.52 k J \)
c. \( -22.88 k J \)
D. \( -228.88 k J \)
| 1 |
Chemistry
|
A chemical reaction proceeds into the following steps
Step \( \mid: 2 A \rightleftharpoons X \) (fast)
Step II: \( \boldsymbol{X}+\boldsymbol{B} \rightarrow \boldsymbol{Y}(\text { slow }) \)
Step III: \( Y+B \rightarrow \) Product(fast)
The rate low for the overall reaction \( ^{*} \) is:
| 1 |
Chemistry
|
the radial acceleration:
A \( \cdot 1.65 m s^{-2} \)
B. \( 5.65 \mathrm{ms}^{-2} \)
c. \( 11.65 m s^{-2} \)
D \( .21 .65 \mathrm{ms}^{-2} \)
| 3 |
Physics
|
The value of \( \left(1+\tan ^{2} \theta\right) \sin ^{2} \theta \) is
\( \mathbf{A} \cdot \sin ^{2} \theta \)
B. \( \cos ^{2} \theta \)
\( \mathbf{c} \cdot \tan ^{2} \theta \)
\( D \cdot \cot ^{2} \theta \)
| 2 |
Maths
|
When the temperature of a straight rigid rod increases from \( t \) to \( t+\Delta t \), its
moment of inertia changes from I to
\( I+\Delta I . \) If \( \alpha \) be the coefficient of linear
expansion, then \( 2 \alpha \Delta t \) will be equal to.
\( ^{A} \cdot \frac{I}{\Delta I} \)
B. \( I \times \Delta I \)
c. \( \frac{\Delta I}{I} \)
D. \( 2 I \Delta I \)
| 3 |
Physics
|
One mole of any substance contains
\( 6.022 \times 10^{23} \) atoms/molecules. Number
of molecules of \( H_{2} S O_{4} \) present in 100
\( \mathrm{mL} \) of \( 0.02 \mathrm{M} H_{2} S O_{4} \) solution is
\( -? \)
A . \( 12.044 \times 10^{20} \) molecules
B. \( 6.022 \times 10^{23} \) molecules
C. \( 1 \times 10^{23} \) molecules
D. \( 12.044 \times 10^{23} \) molecules
| 1 |
Chemistry
|
The \( \overrightarrow{\boldsymbol{s}}-\boldsymbol{t} \) graph of a body is as shown in
the figure. The time for which the body
is in motion is:
\( A \cdot 2 \)
B. 3
\( c .6 \)
\( D \cdot 10 \)
| 3 |
Physics
|
\( \boldsymbol{A}+\boldsymbol{B} \leftrightharpoons \boldsymbol{C}+\boldsymbol{D}, \boldsymbol{K}_{c} \) for this
reaction is \( 10 . \) If 1,2,3,4 mole/litre of \( A, B, C \) and \( D \) respectively are present
in a container at \( 25^{\circ} \mathrm{C} \), the direction of
reaction will be:
A. from left to right
B. from right to left
c. reaction is at equilibrium
D. unpredictable
| 1 |
Chemistry
|
The anomers of fructofuranose are
called:
A. \( \alpha \) anomers
B. \( \beta \) anomers
c. both \( A \) and \( B \)
D. none of these
| 1 |
Chemistry
|
Which substance is not present in
nucleic acids?
A. Cytosine
B. Adenine
c. Thymine
D. Guanidine
| 1 |
Chemistry
|
Two bodies \( A \) and \( B \), moving in the same direction collide and after collision,
move with the common velocity in the direction of \( \mathbf{A} \)
A. The magnitude of force exerted by A on B is greater than the magnitude of force exerted by B on \( A \)
B. Both exertequal but opposite force on each other
c. The change in momentum of A and B are equal but opposite in direction
D. Both (B) and (C)
| 3 |
Physics
|
Predict the structure of the following and indicate whether the bond angles are likely to be dissorted from the
theoretical values:
\( \boldsymbol{P F}_{3} \)
| 1 |
Chemistry
|
The vagus nerve is the cranial nerve,
numbering
\( \mathbf{A} \cdot 10^{t h} \)
B. \( 9^{\text {th }} \)
c. 5th
D. 8th
| 0 |
Biology
|
Write the function of the following parts of nuclear reactor along with material used in making it.
a. Control rod
b. Moderator
| 3 |
Physics
|
What causes electrification of two
bodies when they are rubbed together?
A. Transfer of atoms from one body to the other body.
B. Transfer of electricity from one body to the other body.
C. Transfer of electrons from one body to the other body.
D. Transfer of heat from one body to the other body.
| 3 |
Physics
|
Phosphorus is present in
A. Protein
B. DNA
\( c . \) RNA
D. Both DNA and RNA
| 0 |
Biology
|
The \( N a^{+} / K^{+} \) pump is present in the plasma membrane of mammalian cells
where it.
A. Expels potassium from the cell
B. Expels sodium and potassium from the cell
c. Pumps sodium into the cell
D. Expels sodium from the cell
| 0 |
Biology
|
Show that the following points form a right angled triangle. (2,-3),(-6,-7) and (-8,-3)
| 2 |
Maths
|
From the following, reverse biased diode
is
\( A \)
в.
c.
D.
| 3 |
Physics
|
A shopkeeper sells sugar in such a way that the selling price of 950 gm is the same as the cost price of one kg. Find his gain \%.
A \( \cdot 3 \frac{7}{12} \% \)
в. \( _{4} \frac{11}{14} \% \)
c. \( _{5} \frac{5}{19} \% \)
D. \( 6 \frac{9}{14} \% \)
| 2 |
Maths
|
Evaluate \( \int_{0}^{200 \pi} \sqrt{1+\cos x} d x \)
| 2 |
Maths
|
The unit of inductance is equivalent to
A. \( \frac{\text { volt } \times \text { ampere }}{\text { second }} \)
в. \( \frac{\text { ampere }}{\text {volt } \times \text { second }} \)
c. \( \frac{v o l t}{\text { Ampere } \times \text { second }} \)
D. \( \frac{\text {volt } \times \text { second }}{\text { ampere }} \)
| 3 |
Physics
|
The cells surrounding the stomata are known as
A . Guard cells
B. Subsidiary cell
c. stoma
D. None of the above
| 0 |
Biology
|
Fill in the blanks:
\( \mathbf{1 0 0} \times(-\mathbf{6})=\dots \dots \dots \)
| 2 |
Maths
|
Statement-1: The angular velocity of all the points on the rigid body as seen
from any other point on it is the same. Statement-2: The distance between any
2 points on the rigid body remains
constant.
A. Statement-1 is true,statement-2 is true and statement 2 is correct explanation for statement- -
B. Statement-1 is true,statement-2 is true and statement 2 is NOT the correct explanation for statement- -
c. Statement-1 is true, statement-2 is false.
D. Statement-1 is false, statement-2 is true
| 3 |
Physics
|
Assertion
Light is not considered as matter.
Reason
Light do not occupy space, have no
mass or volume.
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
|
Solve:
\( \lim _{x \rightarrow 0} \frac{3 \sin ^{2} x-2 \sin x^{2}}{3 x^{2}} \)
| 2 |
Maths
|
A small piece of space junk is at rest in outer space. A very small asteroid strikes it, exerting a force on it that is NOT directed through the piece of space junk's center of mass. Which of the following describes the motion of the piece of space junk DURING the asteroid strike?
A. Because the asteroid is small, the space junk remains at rest
B. The piece of space junk spins, but does NOT move linearly
c. The piece of space junk moves at constant velocity linearly, but does NOT spin
D. The piece of space junk accelerates linearly, but does NOT spin
E. The piece of space junk accelerates linearly, AND spins
| 3 |
Physics
|
Which of the following equations is not
shown by the appropriate halogen?
\( \mathbf{A} \cdot F_{2}+2 O H^{-} \)solution\( \rightarrow 2 F^{-}+H_{2} O+O F_{2} \)
B \( \cdot 2 F_{2}+4 O H^{-} \) conc \( \stackrel{\text {hot}}{\longrightarrow} 4 F^{-}+2 H_{2} O+O_{2} \)
\( \mathbf{c} \cdot X_{2}+2 O H^{-} \operatorname{conc} \stackrel{\text {hot}}{\longrightarrow} H_{2} O+X^{-}+X O^{-} \) where \( X \) is \( \mathrm{Cl} \)
Br and
\( \mathbf{D} \cdot X e F_{4} \)
| 1 |
Chemistry
|
The name of given compound is:
A. malonic acid
B. carbon suboxide
c. tartaric acid
D. acetic acid
| 1 |
Chemistry
|
Heavy water is a compound of :
A. hydrogen and heavier isotope of oxygen.
B. heavier isotope of hydrogen and heavier isotope of oxygen.
C. oxygen and heavier isotope of hydrogen.
D. none of the above
| 1 |
Chemistry
|
Gypsum is added to Portland cement to:
A. fasten the process of setting
B. slow down the process of setting
C. improve the colour of the cement
D. increase the melting point of cement
| 1 |
Chemistry
|
A root parasite is
A. Loranthus
B. Rafflesia
c. viscum
D. cuscuta
| 0 |
Biology
|
Describe the following:
(i) Cross aldol condensation
(ii) Decarboxylation
| 1 |
Chemistry
|
An element \( X \) combines with oxygen to
form an oxide \( X_{2} O . \) This oxide is
electrically conducting.
(i) How many electrons would be there in the outermost shell of the element \( \boldsymbol{X} \)
(ii) To which group of the periodic table does the element \( X \) belong.
(iii) Write the formula of the compound
which is formed when \( X \) reacts with
chlorine.
| 1 |
Chemistry
|
Older resin-clogged central secondary xylem and younger outer secondary xylem are respectively known as
A. Alburnum and duramen
B. Duramen and alburnum
c. Autumn wood and springwoodd
D. springwood and autumn wood
| 0 |
Biology
|
Is similarity of triangles different from similarity of polygons?
| 2 |
Maths
|
The mixture of \( C O \) and \( N_{2} \) is called as:
A. Water gas
B. Producergas
c. synthetic gas
D. Marsh gas
| 1 |
Chemistry
|
Solve: \( \int_{0}^{1} \frac{\boldsymbol{d} \boldsymbol{x}}{\sqrt{\boldsymbol{x}+\mathbf{1}}+\sqrt{\boldsymbol{x}}} \)
| 2 |
Maths
|
The equilibrium constant for the
reaction, \( N_{2}(g)+O_{2}(g)=2 N O(g) \) is
\( 4 \times 10^{-4} \) at \( 2000 \mathrm{k} . \) In the presence of a
catalyst, the equilibrium is attained ten times faster. Therefore, the equilibrium constant in the presence of the catalyst of \( 2000 \mathrm{k} \) is:
A. \( 4 \times 10^{-2} \)
B. \( 40 \times 10^{-4} \)
c. \( 4 \times 10^{-4} \)
D. \( 4 \times 10^{-1} \)
| 1 |
Chemistry
|
When \( N_{2} O_{5} \) is heated at certain
temperature, it dissociates as \( N_{2} O_{5}(g) \rightleftharpoons N_{2} O_{3}(g)+ \)
\( O_{2}(g) ; \quad K_{c}=2.5 . \) At the same time
\( N_{2} O_{3} \) also decomposes as:
\( N_{2} O_{3}(g) \rightleftharpoons N_{2} O+O_{2}(g) . \) If initially
4.0 moles of \( N_{2} O_{5} \) are taken in 1.0 litre
flask and allowed to dissociation,
concentration of \( O_{2} \) at equilibrium is
\( \mathbf{2 . 5} \boldsymbol{M} \)
Equilibrium concentration of \( N_{2} O_{5} \) is:
A. \( 1.0 M \)
в. 1.5 М
c. \( 2.166 M \)
D. \( 1.834 M \)
| 1 |
Chemistry
|
What is the other name of \( S H E ? \)
A. Concentration cell
B. Inactive electrode
c. Reference electrode
D. Active electrode
| 1 |
Chemistry
|
The place value of 2 in the number
\( \mathbf{1 5 . 5 2 6} \) is
A . 20
B. 2
\( c \cdot \frac{2}{10} \)
D. \( \frac{2}{100} \)
| 2 |
Maths
|
When two tuning forks \( A \) and \( B \) are
sounded together, 4 beats per second
are heard. The frequency of the fork \( B \) is
\( 384 H z . \) When one of the prongs of the
fork \( A \) is filed and sounded with \( B \), then
beat frequency increases, then
frequency of the fork \( \boldsymbol{A} \) is
A. \( 380 H z \)
в. 388 Нг
c. 379 Н \( z \)
D. \( 389 ~ H z \)
| 3 |
Physics
|
Let \( \vec{v}(t) \) be the velocity of a particle at
time \( t . \) Then
This question has multiple correct options
\( ^{\mathbf{A}} \cdot\left|\frac{d \vec{v}(t)}{d t}\right| \) and \( \frac{d|\vec{v}(t)|}{d t} \) are always equal
\( ^{\mathbf{B}} \cdot\left|\frac{d \vec{v}(t)}{d t}\right| \) and \( \frac{d|\vec{v}(t)|}{d t} \) may be equal
c. \( \frac{d|\vec{v}(t)|}{d t} \) can be zero while \( \left|\frac{d \vec{v}(t)}{d t}\right| \) is not zero
D \( \cdot \frac{d|\vec{v}(t)|}{d t} \neq 0 \) implies \( \frac{|d \vec{v}(t)|}{d t} \neq 0 \)
| 3 |
Physics
|
In the above figure \( \boldsymbol{A B} \| \boldsymbol{C D} \)
\( \angle A B E=120^{\circ}, \angle D C E=110^{\circ} \) and
\( \angle B E C=x^{\circ} \) then \( x^{\circ} \) will be
\( A \cdot 60 \)
B. 50
\( c \cdot 4 \)
D. 70
| 2 |
Maths
|
A man \( m=80 k g \) is standing on a
trolley of mass \( 320 \mathrm{kg} \) on a smooth surface. If man starts walking on trolley along rails at a speed of \( 1 \boldsymbol{m} / \boldsymbol{s}, \) then
after 4 sec, his displacement relative to
ground is
A . \( 4 m \)
B. \( 4.8 m \)
c. \( 3.2 m \)
D. \( 6 m \)
| 3 |
Physics
|
Consider an aqueous solution, \( 0.1 \mathrm{M} \)
each in \( H O C N, H C O O H,(C O O H)_{2} \)
and \( H_{3} P O_{4}, \) for \( H O C N, \) we can write \( \boldsymbol{K}_{\boldsymbol{a}}(\boldsymbol{H} \boldsymbol{O C N})=\frac{\left[\boldsymbol{H}^{+}\right]\left[\boldsymbol{O C N}^{-}\right]}{[\boldsymbol{H O C N}]} \cdot\left[\boldsymbol{H}^{+}\right] \)
in this expression refers to:
A \( . H^{+} \) ions released by \( H O C N \)
B. sum of \( H^{+} \) ions released by all monoprotic acids
C. sum of \( H^{+} \) ions released only the first dissociation of all the acids
D. overall \( H^{+} \) ion concentration in the solution
| 1 |
Chemistry
|
In which of the following cases \( C-C \)
bond length will be the longest?
A. \( C H_{3}-C F_{3} \)
В. \( F C H_{2}-C H_{2} F \)
\( \mathbf{c} \cdot F_{2} C H-C H F_{2} \)
D. \( C F_{3}-C F_{3} \)
| 1 |
Chemistry
|
Distinguish between photosynthesis
and respiration
| 0 |
Biology
|
If \( [x]=4, \) where [.] denotes greatest
integer function, then it lies in the interval
A. (2,3)
(年) (2,3,3)
в. [-1,2]
c. [4,5]
D. [4,5]
| 2 |
Maths
|
A 1 m long rod is half dipped in a swimming pool. The sunlight is incident
at \( 45^{\circ} \) on the rod. Find the length of the shadow on the bed of swimming pool.
\( \mathbf{A} \cdot 73 \mathrm{cm} \)
B. \( 78.25 \mathrm{cm} \)
c. \( 74.17 \mathrm{cm} \)
D. \( 81.5 \mathrm{cm} \)
| 3 |
Physics
|
Le Chatelier's principle is applicable to both homogeneous and heterogeneous equilibria.
If true enter 1 , if false enter 0 .
| 1 |
Chemistry
|
Which of the following system has maximum number of unpaired electrons?
A \( \cdot d^{4} \) (Octahedral,Low spin)
B . \( d^{6} \) (tetrahedral)
c. \( d^{6} \) (octahedral, low spin)
D. \( d^{9} \) (Octahedral)
| 1 |
Chemistry
|
Table salt becomes sticky on exposure during the rainy season. Explain.
| 1 |
Chemistry
|
Let N denote the set of all natural
numbers. Define two binary relations on \( \mathrm{N} \) as \( \boldsymbol{R}_{1}=\{(\boldsymbol{x}, \boldsymbol{y}) \boldsymbol{\epsilon} \boldsymbol{N} \times \boldsymbol{N}: \boldsymbol{2} \boldsymbol{x}+\boldsymbol{y}= \)
\( \mathbf{1 0}\} \) and \( \boldsymbol{R}_{2}=\{(\boldsymbol{x}, \boldsymbol{y}) \boldsymbol{\epsilon} \boldsymbol{N} \times \boldsymbol{N}: \boldsymbol{x}+ \)
\( \mathbf{2} \boldsymbol{y}=\mathbf{1 0}\} . \) Then
\( A \cdot \) Both \( R_{1} \) and \( R_{2} \) are transitive relations
B. Both \( R_{1} \) and \( R_{2} \) are symmetric relations
C. Range of \( R_{2} \) is \{1,2,3,4\}
D. Range of \( R_{1} \) is \{2,4,8\}
| 2 |
Maths
|
Draw the following triangles and construct circumcircles for them.
In \( \triangle A B C, A B=6 c m, B C=7 \mathrm{cm} \)
and \( \angle A=60^{\circ} \)
| 2 |
Maths
|
A purchases an article for Rs. 3,600 and sells it to B for Rs. \( 4,800 . \) B, in turn, sells the article to \( C \) for Rs. \( 5,500 . \) If the sales-
\( \operatorname{tax}(\text { under } V A T) \) is \( 10 \%, \) find the VAT
levied on \( A \) and \( B \).
A. VAT levied A= Rs. 140, VAT levied B= Rs. 50
B. VAT levied A= Rs. 130, VAT levied B= Rs. 60
c. VAT levied A= Rs. 120, VAT levied B= Rs. 70
D. None of these
| 2 |
Maths
|
Non-mineral essential elements are
A. Carbon, Hydrogen and Oxygen
B. Hydrogen, Nitrogen and Sulphur
C. Hydrogen, Nitrogen and Fluorine
D. Chlorine, Fluorine and Nitrogen
| 0 |
Biology
|
The difference between the maximum
and the minimum obervations in data
is called the
A. mean of the data
B. range of the data
c. mode of the data
D. median of the data
| 2 |
Maths
|
3 moles of \( \boldsymbol{P} \) and 2 moles of \( \boldsymbol{Q} \) are
mixed, what will be their total vapour pressure in the solution if their partial
vapour pressures are 80 and 60 torr respectively?
A. 80 torr
B. 140 torr
c. 72 torr
D. 70 torr
| 1 |
Chemistry
|
State whether true or false.
Newton's second law gives the measure of force.
A. True
B. False
| 3 |
Physics
|
The part which protects the human eye is called:
A. Cornea
B. Choroid
c. Retina
D. Blind spot
| 3 |
Physics
|
Desmosomes are concerned with
A. Cell division
B. Cellular excretion
c. cytolysis
D. Cell adherence
| 0 |
Biology
|
The line \( \frac{\boldsymbol{x}-\mathbf{2}}{\mathbf{3}}=\frac{\boldsymbol{y}-\mathbf{3}}{\mathbf{4}}=\frac{\boldsymbol{z}-\mathbf{4}}{\mathbf{5}} \) is
parallel to the plane.
A. \( 2 x+3 y+4 z=29 \)
B. \( 3 x+4 y-5 z=10 \)
c. \( 3 x+4 y+5 z=38 \)
D. \( x+y+z=0 \)
| 2 |
Maths
|
Two identical inductance carry currents
that vary with time according to linear laws (as shown in figure). In which of
two inductance is the self induction
emf greater?
\( A \)
B. 2
\( c . \) same
D. data are insufficient to decide
| 3 |
Physics
|
The equilibrium position for a static pendulum changes with
A. acceleration of the bob
B. velocity of the bob
c. displacement of the bob
D. none of the above
| 3 |
Physics
|
Name the process:
\( Z r+2 I_{2} \stackrel{600^{\circ} C}{\longrightarrow} Z r I_{4} \stackrel{1800^{\circ} C}{\longrightarrow} Z r+2 I_{2} \)
Options:
1. Monds
2. Van Arkel
3. Hall
4. Bausch
Enter the correct option in the form of
the number
| 1 |
Chemistry
|
Draw a rough sketch of a quadrilateral
KLMN. State two pairs of opposite sides
| 2 |
Maths
|
Some liquids on mixing form
'azeotropes'. What are 'azeotropes'?
| 1 |
Chemistry
|
Assertion
\( \sin ^{-1}\left[x-\frac{x^{2}}{2}+\frac{x^{3}}{4} \dots\right]=\pi / 2 \)
\( \cos ^{-1}\left[x^{2}-\frac{x^{4}}{2}+\frac{x^{6}}{4} \ldots .\right] \) for \( 0<|x|< \)
\( \sqrt{2} \) has a unique solution.
Reason
\( \tan ^{-1} \sqrt{x(x+1)}+ \)
\( \sin ^{-1} \sqrt{x^{2}+x+1}=\pi / 2 \) has no
solution for \( -\sqrt{2}<x<0 \)
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
|
Platinum, Palladium and Iridium are
called noble metals because:
A. Alfred Nobel discovered them
B. they are shining lustrous and pleasing to look at
C. they are found in native state
D. they are inert towards many common reagents
| 1 |
Chemistry
|
Write a short note on ecosystem
services.
| 0 |
Biology
|
Using Euclid's division algorithm find
the HCF of the following numbers.
\( \mathbf{2 0 2 4} \) and \( \mathbf{1 8 7 2} \)
| 2 |
Maths
|
Consider following cases:
I. \( 2 \mathrm{M} C H_{3} \mathrm{COOH} \) solution in benzene at
\( 27^{0} \) where there is dimer formation to
the extent of \( 100 \% \)
Il. \( 0.5 \mathrm{M} \) KCl aq. solution at \( 27^{0}, \) which
ionises \( 100 \% \)
Which is lare true statements(s):
A. both are isotonic
B. I is hypertonic
c. I lis hypertonic
D. none is correct
| 1 |
Chemistry
|
Write general terms of this
\( 2 x\left[3+2 x^{2}\right]^{20} \)
| 2 |
Maths
|
General formula of saturated
monocarboxylic acid is :
A. \( C_{n} H_{2 n+1} \) COOH
в. \( C_{n} H_{2 n} O_{2} \)
c. Both A and B
D. None of the above
| 1 |
Chemistry
|
Assuming the earth to be a sphere of uniform density, how much could a body weigh at a height equal to radius of earth when it weighs \( 250 \mathrm{N} \) on the surface of the earth.
| 3 |
Physics
|
Figure below shows two infinitely long
and thin current carrying conductors \( \boldsymbol{X} \)
and \( Y \) kept in vacuum, parallel to each
other, at a distance 'a
Define ampere, in terms of force
between two current carrying
conductors
| 3 |
Physics
|
Fill in the blanks:
Principal axis is also called of the lens.
A. Optical axis
B. x-axis
c. y-axis
D. axis
| 3 |
Physics
|
The hormone that prepares the uterus for the implantation of the embryo is:
A. Estradiol
B. Progesterone
c. Insulin
D. Androgens
| 1 |
Chemistry
|
To which of the following flowers 'synandrous' condition is found?
A. Sunflower (Helianthus sp.)
B. Gourd (cucurbita sp.)
c. Pea (Pisum sativum)
D. Lemon (Citrus sp.)
| 0 |
Biology
|
Corresponding sides of two similar triangles are in the ratio \( 2: 3 . \) If the area
of the smaller triangle is \( 48 \mathrm{cm}^{2} \) determine the area of the larger triangle.
| 2 |
Maths
|
Evaluate \( ^{20} C_{5}+\sum_{r=2}^{5}^{25-r} C_{4} \)
| 2 |
Maths
|
Assuming that shear stress of base of a mountain is equal to force per unit area to its weight, calculate the maximum possible height of a mountain on the earth if breaking stress of a typical rock
is \( 30 \times 10^{7} N m^{-2} \) and specific gravity
is \( 3 \times 10^{3} k g / m^{3} \)
\( A \cdot 10 \mathrm{km} \)
B. \( 8 \mathrm{km} \)
\( c \cdot 7 k m \)
\( D .6 \mathrm{km} \)
| 3 |
Physics
|
If the acceleration of an object is zero:
A. it must be at rest
B. it may or may not be at rest
c. it must be moving
D. it must be falling freely under gravity
| 3 |
Physics
|
Read the following statements about
the given diagram carefully and state which of them are correct?
(i) A carries urine and sperms.
(ii) \( \mathrm{B} \) secretes a fluid that helps in the lubrication of penis.
(iii) D produces testosterone but not
sperms
(iv) \( \mathrm{C} \) stores sperms.
\( A \cdot \) (i) and (ii)
B. (ii) and (iii)
c. (ii) and (iv)
D. (i) and (iv)
| 0 |
Biology
|
Write the chemical formula of Mustard
gas and Phosgene.
| 1 |
Chemistry
|
Evaluate the integral \( \int_{2}^{3} \frac{\sqrt{\boldsymbol{x}}}{\sqrt{\mathbf{5}-\boldsymbol{x}}+\sqrt{\boldsymbol{x}}} \boldsymbol{d} \boldsymbol{x} \)
A \( \cdot 1 / 2 \)
B . \( 3 / 2 \)
\( c \cdot 5 / 2 \)
D. 0
| 2 |
Maths
|
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