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If \( a, b, c \) are in G.P., then A \( \cdot a^{2}, b^{2}, c^{2} \) are in G.P. B . \( a^{2}(b+c), c^{2}(a+b), b^{2}(a+c) \) are in G.P. c. \( \frac{a}{b+c}, \frac{b}{c+a}, \frac{c}{a+b} \) are in G.P D. None of the above.
2
Maths
Malonic acid and succinic acid are distinguish by: A. heating в. \( \operatorname{NaH} \mathrm{CO}_{3} \) c. both \( A \) and \( B \) D. None of these
1
Chemistry
Molar heat capacity of water (liquid) in equilibrium with water vapour at constant pressure is: A. zero B . \( \infty \) c. 75.48 J mol \( ^{-1} \mathrm{k}^{-1} \) D. 40.45 J mol \( ^{-1} \mathrm{K}^{-1} \)
1
Chemistry
For the following congruent triangles, find the pairs of corresponding angles.
2
Maths
The conversion of vinyl allyl ether to pent-4-enol follows a certain kinetics. The following plot is obtained for such a reaction. A . zer B. \( c \) 2
1
Chemistry
The net force exerted by fluid on moving plate is A. \( 0.6 N \) backwards B. \( 0.6 N \) forward c. \( 0.2 N \) backwards D. \( 0.2 N \) forward
3
Physics
Length of silk thread produced by one cocoon is A. \( 300-400 \) metres B. 600 - 900 metres c. \( 200-300 \) metres D. less than 200 meters
1
Chemistry
The dimensions of strain is: A. \( L \) B \( \cdot L^{2} \) c. It is dimensionless D. \( M L^{2} T^{-2} \)
3
Physics
If \( \boldsymbol{E}^{o}_{\boldsymbol{F} e^{2+} / \boldsymbol{F} e}=\boldsymbol{x}_{1} \boldsymbol{V} \) and \( \boldsymbol{E}^{o}_{\boldsymbol{F} e^{3+} / \boldsymbol{F} e^{2+}}= \) \( \boldsymbol{x}_{2} \boldsymbol{V}, \) then \( \boldsymbol{E}^{o} \boldsymbol{F e}^{3+} / \boldsymbol{F} e \) will be : A \( \cdot\left(2 x_{1}+x_{2}\right) V \) В . \( \left(3 x_{2}-x_{1}\right) V \) \( \mathbf{c} \cdot\left(2 x_{1}+x_{2}\right) / 3 V \) \( \mathbf{D} \cdot\left(x_{1}+2 x_{2}\right) / 3 V \)
1
Chemistry
Which of the following is true about the number \( 0.66 \overline{66} ? \) A. It is a rational number B. It is an irrational number c. It is correctly gridded as ".66" D. It is equivalent to \( \frac{67}{100} \) E. None of the above
2
Maths
For the given circuit, the natural frequency is given by : \( \mathbf{A} \cdot \frac{1}{2 \pi} \sqrt{L C} \) B. \( \frac{1}{2 \pi \sqrt{L C}} \) \( c \cdot \sqrt{\frac{l}{C}} \overline{\underline{l}} \) D. \( \sqrt{\frac{c}{L}} \)
3
Physics
Evaluate \( \int_{0}^{\infty} \frac{x^{2}+1}{x^{4}+7 x^{2}+1} d x \) \( A \) в. \( \frac{\pi}{2} \) c. D.
2
Maths
The number of integral values of \( \boldsymbol{m}, \) for which the roots of \( x^{2}-2 m x+m^{2}- \) \( \mathbf{1}=\mathbf{0} \) will between \( -\mathbf{2} \) and \( \mathbf{4} \) is : A .2 B. 0 \( c .3 \) D.
2
Maths
Which of the following is an example of a broad spectrum antibiotic? This question has multiple correct options A. Penicillin G B. Chloramphenicol c. streptomycin D. Ampicillin
1
Chemistry
Amongst the following elements present in an organic compound, the one which has no direct test for detection is : A . \( C l \) в. \( N \) \( c . s \) D.
1
Chemistry
On a rainy day, out of 150 students in a school 25 were absent. Find the percentage of students absent from the school? What percentage of students are present?
2
Maths
Two rods \( A \) and \( B \) of the same material and length have radii \( r_{1} \) and \( r_{2} \) respectively. When they are rigidly fixed at one end twisted by the same torque applied at the other end, the ratio \( \left[\begin{array}{lllllll}\text {the} & \text {angle} & \text {of} & \text {twist} & \text {at} & \text {the} & \text {er} \\ \hline \text {the} & \text {angle} & \text {of} & \text {twist} & \text {at} & \text {the} & \text {er}\end{array}\right. \) equals to: A \( \cdot \frac{r_{1}^{2}}{r_{2}^{2}} \) B \( \cdot \frac{r_{1}^{3}}{r_{2}^{3}} \) \( c \cdot \frac{r_{2}^{4}}{r_{1}^{4}} \) D \( \cdot \frac{r_{1}^{4}}{r_{2}^{4}} \)
3
Physics
Which of the following is a partial root parasite? A. Sandal wood B. Mistetone c. orobanche D. Ganodema
0
Biology
What is the concept of diffusion and Brownian motion?
1
Chemistry
The lines \( 2 x-3 y=5 \) and \( 3 x-4 y=7 \) are the diameters of a circle of area 154 square units. An equation of this circle is \( (\boldsymbol{\pi}=\mathbf{2 2} / \mathbf{7}) \) A \( \cdot x^{2}+y^{2}+2 x-2 y=62 \) B. \( x^{2}+y^{2}+2 x-2 y=47 \) c. \( x^{2}+y^{2}-2 x+2 y=47 \) D. \( x^{2}+y^{2}-2 x+2 y=62 \)
2
Maths
The area of a square park is the same as a rectangular park. If the side of the square park is \( 60 \mathrm{m} 60 \mathrm{m} \), find the breadth (in meter) of the rectangular park. Given: Length of the rectangular park is \( 90 \mathrm{m} \)
2
Maths
The ions which plays major role in generating hormone action A. Calcium ions B. Magnesium ions c. Sodium ions D. None of these
0
Biology
State the electronic configuration for Boron \( [p=5, n=6] \) A . 2,3 B. 5, 10 c. 5,12 D. 5,1
1
Chemistry
After electrolysis of NaCl solution with inert electrodes for a certain period of time, \( 600 \mathrm{mL} \) of the solution was left. Which was found to be \( 1 \mathrm{N} \) in \( \mathrm{NaOH} \) During the same time, 31.75 g \( \mathrm{Cu} \) deposited in the copper voltameter in series with the electrolytic cell. Calculate the percentage yield of NaOH obtained. A. \( n=60 \% \) a B . \( n=50 \% \) c. \( n=70 \% \) D. None of these
1
Chemistry
\( P \) is a point on the line through the point \( A \) whose position vector is \( \vec{a} \) and the line is parallel to the vector \( \vec{b} \). If \( \boldsymbol{P A}=\mathbf{6}, \) the position vector of \( \boldsymbol{P} \) is A \( \cdot \vec{a}+6 \vec{b} \) B \( \cdot \vec{a}+\frac{6}{|\vec{b}|} \vec{b} \) c. \( \vec{a}-6 \vec{b} \) D \( \cdot \vec{b}+\frac{6}{|\vec{a}|} \vec{a} \)
2
Maths
depends on mass and kind of material of the body. A. specific heat B. Heat capacity c. Temperature D. kinetic energy
3
Physics
\( \mathrm{f}\left|\begin{array}{lll}\boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a} \\ \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c} \\ \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b}\end{array}\right|=\boldsymbol{t} \times \operatorname{det} \) of circulant matrix whose elements of first column are \( a, b, c \) then \( t \) equals A. 5 B. 6 \( c \cdot-2 \) \( D \)
2
Maths
How many nucleons are present in phosphorous? A . 15 B. 16 c. 30 D. 31
1
Chemistry
Fine the odd one. A. Adiantum B. Equisetum c. Selaginella D. Riccia
0
Biology
Which of the following occurs due to the stomatal opening? I. Increased photosynthesis II. Increased transpiration III.Decreased chlorophyl A. I only B. II only c. ॥ only D. I and II only E . I, II and III only
0
Biology
Select the correct option on the basis of given features, to which they belong: A. Cambium - Develops later B. Pith - Absent C. Epidermis -Possess unicelluiar hairs A . Dicot stem B. Monocot stem c. Dicot root D. Monocot root
0
Biology
Methanol can be distinguished from ethanol by: A . heating with \( I_{2} \) and alkal B. treating with schiff's reagent C . treating \( C r O_{3} \) solution in dil. \( H_{2} S O_{4} \) D. treating with Lucas reagent
1
Chemistry
Henry's law holds for a slightly soluble gas as long as the gas: A. Has a high molecular weight B. Has a low molecular weight c. Is diatomic D. Does not react chemically with the solvent
1
Chemistry
Einstein's photo-electric equation states that \( \boldsymbol{E}_{\boldsymbol{k}}=\boldsymbol{h v}-\boldsymbol{W} . \) In this equation, \( \boldsymbol{E}_{\boldsymbol{k}} \) refers to: A. kinetic energy of all ejected electrons B. mean kinetic energy of emitted electrons c. minimum kinetic energy of emitted electrons D. maximum kinetic energy of emitted electrons
1
Chemistry
A rectangle DEFG is plotted in \( X Y \) plane. The co-ordinates of D , E , F and G \( \operatorname{are}(2,2),(9,2),(9,10) \) and (2,10) Find the new co-ordinates of D when DEFG is rotated \( 270^{\circ} \) around origin. A \( \cdot(-2,-2) \) в. (2,-2) c. (2,4) (年. \( (2,4)) \) D. (-2,4)
2
Maths
Explain zone - refining (figure not necessary.
1
Chemistry
A long straight wire carries a current 10 amp. An electron travels with a velocity \( \mathbf{5 . 0} \times \mathbf{1 0}^{\mathbf{6}} \mathrm{m} / \mathrm{sec} \) parallel to the wire 0.1 \( \mathrm{m} \) away from it and in a direction opposite to the current. What force does the magnetic field of current exert on the electron? В. \( 0.8 \times 10^{-16} N \) c. \( 1.6 \times 10^{-17} N \) D. \( 1.6 \times 10^{-16} N \)
3
Physics
If \( Z_{r}=\left(\cos \frac{r \pi}{10}+i \sin \frac{r \pi}{10}\right) . \) Then find the value of \( Z_{1} \cdot Z_{2} \cdot Z_{3} \cdot Z_{4} \)
2
Maths
Rms value of current \( \boldsymbol{i}=\mathbf{3}+ \) \( 4 \sin \left(\omega t+\frac{\pi}{3}\right) \) is: A . \( 5 A \) в. \( \sqrt{17} A \) \( c \cdot \frac{5}{\sqrt{2}} A \) D. \( \frac{7}{\sqrt{2}} A \)
3
Physics
The name of the compound is Cyclopent-1-en-3-ol If true enter 1 , else enter 0 .
1
Chemistry
(a) What is selectivity of catalyst? Write example. (b) What happens when hydrated ferric oxide sol is mixed with arsenius sulphide sol? (c) Explain Tyndall effect with labelled diagram.
1
Chemistry
An empty freight car of mass \( \boldsymbol{m}_{1}= \) \( \mathbf{1 0}, \mathbf{0 0 0 k g} \) rolls at speed \( u_{1}=2 m / s \) on a level road and collide with a loaded car of mass \( \boldsymbol{m}_{2}=\mathbf{2 0}, \mathbf{0 0 0 k g} \) standing at rest. If the cars couple together, find their speed \( V \) after the collision and also the loss in kinetic energy. What should be speed of the loaded car towards the empty car, in order that both be brought to rest by the collision?
3
Physics
Birds take nectar by A. Chewing B. Swallowing c. sucking D. Biting
0
Biology
Which of the following statement is correct? This question has multiple correct options A. when the magnetic flux linked with conducting loop is zero then emf induced is always zero B. when the emf induced in conducting loop is zero, then the magnetic flux linked with the loop must be zero C. transformer works on mutual induction D. all of these
3
Physics
\( 0.5 g \) of an organic compound containing nitrogen on kjeldahlising required \( 29 m l \) of \( N / 5 H_{2} S O_{4} \) for complete neutralisation of ammonia. The percentage of nitrogen in the compound is : A. 34.3 B. 16.2 c. 13.6 D. 24.5
1
Chemistry
The following reaction is known by the name: A. Acetylation reaction B. Schotten-Baumen reaction c. Friedel-craft's reaction D. Perkin's reaction
1
Chemistry
The resonant frequency of an L-C circuit is \( ^{\mathrm{A}} \cdot \frac{1}{2 \pi \sqrt{L C}} \) в. \( \frac{1}{2 \pi} \sqrt{\frac{L}{C}} \) c. \( \frac{1}{4 \pi} \sqrt{\frac{L}{C}} \) D. \( \frac{1}{2 \pi} \sqrt{\frac{C}{L}} \)
3
Physics
A tungsten wire of length \( 20 \mathrm{cm} \) is stretched by \( 0.1 \mathrm{cm} . \) Find the strain on the wire. A .0 .002 B. 0.005 \( c \cdot 0.001 \) D. 0.004
3
Physics
The boiling point of an azeotropic mixture of water and ethyl alcohol is less than that of theoritical value of water and alcohol mixture. Hence the mixture shows: A. that solution is saturated B. positive deviation from Raolt's law c. negative deviation from Raoult's law D. that solution is super saturated
1
Chemistry
Each side of a cube is measured to be 7.203 \( \mathrm{m} \). What is the volume of the cube to appropriate significant figure? A \( \cdot 373.7 m^{3} \) в. \( 311.3 m^{3} \) \( \mathrm{c} \cdot 211.3 m^{3} \) D. \( 3737 m^{3} \)
1
Chemistry
In Young's double slit experiment with monochromatic source of light of wavelength \( 6000 A^{\circ}, \) if the path difference at a point on the screen is 6 \( \times 10^{-6} m \) the number of the bright band formed at that point is: \( A \cdot 2 \) B. 4 \( c \cdot 6 \) D. 10
3
Physics
Write equations for the following statements: If you take away 6 from 6 times \( y, \) you \( \operatorname{get} 60 \)
2
Maths
If the amount of heat given to a system is \( 35 J \) and the amount of work done on the system is \( 15 J \), then the change in internal energy of the system is A. \( -50 J \) в. \( 20 J \) \( c .30 J \) D. \( 50 J \)
3
Physics
An electric iron is rated \( 220 \vee, 2 k W . \) If the iron is used for 2 h daily find the cost of running it for one week if it costs Rs. 4.25 per kWh.
3
Physics
Amount of \( C O_{2} \) mixed annually is about A. \( 70 \times 10^{10} \mathrm{Kg} \) в. \( 70 \times 10^{11} \mathrm{Kg} \) c. \( 70 \times 10^{13} \mathrm{Kg} \) D. \( 70 \times 10^{13} g \)
0
Biology
According to IUPAC convention, name of the following compound is: A. 3 -chloro-5-ethyl ethylbenzoate B. ethyl-3-chloro-5-ethylbenzoate C. metachloro-metaethyl ethylbenzoate D. both 'b' and 'c' are correct
1
Chemistry
Lymph carries digested and absorbed fat from A. Stomach B. Small intestine c. colon D. Oesophagus
0
Biology
Which of the following contraceptive methods do involve a role of hormone? A. Lactational amenorrhea, Pills Emergency contraceptives B. Barrier method, Lactational amenorrhea, Pills c. CuT, Pills, Emergency contraceptives D. Pills, Emergency contraceptives, Barrier methods
0
Biology
Active transport is characterized by A. Requires special membrane proteins B. Highly selective C . Requires energy D. All of the above
0
Biology
Out of the given oxides, how many of these are the anhydrides of dibasic oxyacid? (i) \( \boldsymbol{S O}_{2} \) (ii) \( P_{4} O_{10} \) (iii) \( N O_{2}(\text { iv }) C O_{2}(v) \) \( \boldsymbol{L} \boldsymbol{i}_{2} \boldsymbol{O}\left(v_{i}\right) \boldsymbol{C O}\left(v_{i i}\right) \boldsymbol{C l O}_{2}\left(v_{i i i}\right) \boldsymbol{C l}_{2} \boldsymbol{O}(i \mathbf{x}) \) \( \boldsymbol{I}_{2} \boldsymbol{O}_{5} \)
1
Chemistry
Match the reactions in Column I with nature of the reactions/type of the products in Column II.
1
Chemistry
Which of the following helps eye to adjust the focal length of the lens? A. Cornea B. Iriss c. ciliary body D. Retina
0
Biology
What reagent and/or reaction sequence below would convert trans-3-hexene to meso-3,4-hexanediol? A \( \cdot O s O_{4},\left(C H_{3}\right)_{3} C C O O H,\left(C H_{3}\right)_{3} C O H, N a O H \) B. \( O_{3} \) followed by \( Z n / H_{2} O \) C. \( B_{2} H_{6} / \) diglyme followed by \( H_{2} O_{2} / N a O H \) D. \( C H_{3} C O_{3} H \) followed by \( N a O H / H_{2} O \)
1
Chemistry
Compound (A) will be: condensation \( \mathbf{A} \cdot P h-C \equiv C-C \equiv C-C H O \) B \( . P h-C \equiv C-C H=C H-C H O \) \( \mathbf{c} \cdot P h-C H=C H-C \equiv C-C H O \) \( \mathbf{D} \cdot P h-C H=C H-C=C H-C O_{2} H \)
1
Chemistry
There are \( _{\text {一一一一一一 }} \) isotopes of oxygen A. 0 B. \( c \cdot 2 \) D.
3
Physics
The reaction of the benzyl chloride with sodium cyanide followed by reduction with hydrogen in the presence of nickel gives: A. \( \beta \) -phenyl ethylamine B. N-isobutylaniline c. benzyl amine D. aniline
1
Chemistry
One of the methods of producing He is to bombard \( L i \) with the following projectile A . \( \alpha \) -particles B. electrons c. protons D. neutrons
3
Physics
The correct statement(s) pertaining to the adsorption of a gas on a solid surface is/are: This question has multiple correct options A. Adsorption is always exothermic B. Physisorption may transform into chemisorption at high temperature C. Physisorption increases with increasing temperature but chemisorption decreases with increasing temperature D. Chemisorption is more exothermic than physisorption, however it is very slow due to higher energy of activation
1
Chemistry
Assertion If \( A, B, C \) are three events such that \( P(A)=\frac{1}{4}, P(B)=\frac{1}{6} \& P(C)=\frac{2}{3} \) then events \( A, B, C \) are mutually exclusive. Reason If \( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B} \cup \boldsymbol{C})=\boldsymbol{P}(\boldsymbol{A})+\boldsymbol{P}(\boldsymbol{B})+ \) \( \boldsymbol{P}(\boldsymbol{C}) \) then \( A, B, C \) are mutually exclusive events. A. Both Assertion \& Reason are individually true \& Reason is correct explanation of Assertion B. Both Assertion \& Reason are individually true but Reason is not the , correct (proper) explanation of Assertion c. Assertion is true but Reason is false D. Assertion is false but Reason is true
2
Maths
\( \left\{\begin{array}{ccc}\text { Find } \lim _{x \rightarrow 0} f(x) & \text { where } f(x)= \\ x-1 & \text { if } & x<0 \\ 0 & \text { if } & x=0 \\ x+1 & \text { if } & x>0\end{array}\right. \)
2
Maths
"Every great physical theory starts as a heresy and ends as a dogma."Give some examples from the history of science of the validity of this incisive remark.
3
Physics
When 100 volt dc is applied across a coil, a current of \( 1 a m p \) flows through it, when \( 100 v o l t \) ac of \( 50 H z \) is applied to the same coild only \( 0.5 a m p \) flows. Calculate the resistance and inductance of the coil.
3
Physics
The surface area of the drop is: Spherical drop \( \mathbf{A} \cdot 4 \pi R^{2} \) \( \mathbf{B} \cdot 4 \pi\left(9 t^{2} R^{4}\right)^{1 / 3} \) \( \mathbf{C} \cdot 4 \pi\left(9 t^{4} R^{2}\right)^{1 / 3} \) D. \( 4 \pi R(t+R) \)
3
Physics
Assertion A body having the uniform density has same point, as centre of gravity and centre of buoyancy Reason While formulating the equation for positioning centre of mass and centre of buoyancy,has difference of the term of uniform density only. 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
In the set of triangles in a plane the relation 'is similar to' is an equivalence relation. Prove
2
Maths
Gravitational force acts on all objects in proportion to their masses. Why then, a heavy object does not fall faster than a light object?
3
Physics
What is asthma?
0
Biology
A planet in solar system has a mass double that of earth and density equal to that of earth. An object weigh Won the earth, will weigh on the other planet as \( W^{1} . \) Then: \( \mathbf{A} \cdot W^{1}=W \) В. \( W^{1}=2 W \) c. \( w^{1}=\frac{W}{2} \) D. \[ W^{1}=2^{\frac{1}{3}} W \]
3
Physics
\( p H \) of water is 7 when any substance \( Y \) is dissolved in water then \( p H \) becomes 13. Substance \( Y \) is a salt of: A. strong acid and strong base B. strong acid and weak base c. weak acid and weak base D. weak acid and strong base
1
Chemistry
Portion of gene which is transcribed but not translated is \( A \). Exon B. Intron c. cistron D. codon
0
Biology
The displacement of a particle along the \( x \) -axis is given by \( x=a \sin ^{2} \omega t . \) The motion of the particle corresponds to. A. simple harmonic motion of frequency \( \omega / \pi \) B. Simple harmonic motion of frequency \( 3 \omega / 2 \pi \) c. Non simple harmonic motion D. Simple harmonic motion of frequency \( \omega / 2 \pi \)
3
Physics
Which Lewis structure below has been drawn incorrectly? A . H: H B. \( \mathrm{H}: \mathrm{C}::: \mathrm{N} \) \( c \) \( \mathbf{H}: \dot{\mathbf{O}} \) D. : N ::: N: \( \mathbf{F} \cdot \underset{\mathbf{F}}{\mathbf{B}}: \mathbf{F} \)
1
Chemistry
At poles, how is the direction of Polar winds? A. Air from Polar region moves in towards the \( 60^{\circ} \) latitude belt B. Air from the \( 60^{\circ} \) latitude belt moves in towards Polar region C. Air from Polar region moves in towards the equatorial region D. Air from equatorial region moves in towards the Polar region
3
Physics
Ribose sugar differs from deoxyribose in having A. two extra oxygen molecules B. one extra oxygen molecules c. no oxygen D. Hydroxyl group
0
Biology
Which do you think is a more basic characteristic for classifying organisms? a) the place where they leave b) the kind of cells they are made of Why?
0
Biology
An electric bulb P rated \( 220 V, 60 W \) is working at full efficiency. Another identical bulb \( Q \) is connected across the mains as shown in the figure. The total power consumed is : A . \( 20 W \) в. \( 40 W \) \( c .30 W \) D. \( 70 W \)
3
Physics
Classify the following equilibrium reactions into homogeneous and heterogeneous \( \mathbf{A} \cdot 2 N O_{2}(g) \rightleftharpoons 2 N_{2}(g)+O_{2}(g) \) B \( .2 N H_{3}(g) \rightleftharpoons N_{2}(g)+3 H_{2}(g) \) \( \mathbf{c} \cdot 2 C u\left(N O_{3}\right)(s) \rightleftharpoons 2 C u O(s)+4 N O_{2}(g) \) D \( \cdot P C I_{5}(g) \rightleftharpoons P C I_{3}(g)+C I_{2}(g) \)
1
Chemistry
The binding energy per nucleon of \( _{17}^{35} C l \) nucleus is \( \left(_{17}^{35} C l=34.98000 \mathrm{amu}, m_{P}=1.007825\right. \) \( \operatorname{amu,m}_{n}=1.008665 \) amu and 1 amu is equivalent to \( 931 \mathrm{MeV} \) ) A \( .4 .6 \mathrm{MeV} \) B. \( 5.8 \mathrm{MeV} \) c. \( 6.5 \mathrm{MeV} \) D. \( 8.2 \mathrm{MeV} \)
3
Physics
The contents of 100 match boxes were checked to determine the number of matches they contained. No. of \( \quad 35 \quad 36 \) 37 matches No. of match \( \begin{array}{ll}\text { 12 } & \text { 15 }\end{array} \) boxes Calculate the mean number of matches per box A . 38 B. 42 c. 67 D. 51
2
Maths
Luke Autbeloe drops a pile of roof shingles from the top of a roof located 8.52 meters above the ground. Determine the time required for the shingles to reach the ground. \( \mathbf{A} \cdot 1 s \) в. 1.32 c. \( 1.3 s \) D. \( 1.2 s \)
3
Physics
\( \operatorname{Let} \mathbf{h}(\mathbf{x})=\mathbf{f}(\mathbf{x})-[\mathbf{f}(\mathbf{x})]^{2}+[\mathbf{f}(\mathbf{x})]^{3} \) for every real number x then A. h is increasing whenever fis increasing B. h is increasing whenever f is decreasing c. \( h \) is decreasing whenever \( f \) is increasing D. Nothing can be said in general
2
Maths
An unbiased die is thrown twice. Let the even \( A \) be \( ^{\prime} \) odd \( ^{\prime} \) number on the first throw and \( B \) the event \( ^{\prime} \) odd number on the second throw'. Check the independence of the events \( A \) and \( B \).
2
Maths
If true enter 1 , else enter 0 When ethene reacts with \( H_{2} \), ethane is formed. The \( \pi \) bond of \( C=C \) is affected. Thus, \( \pi \) bond is more reactive than \( \sigma \) bond.
1
Chemistry
When the direction of nerve impulse is reversed, the condition is A. Axo - Axonic synapse B. Axo - Dendritic synapse c. Both of the above D. None of the above
0
Biology
A wire of length L can support a load W. If the wire is broken in to two equal parts then how much load can be suspended by one of those cut wires? A . Half B. Same c. Double D. One fourth
3
Physics
The comparatively high b.pt of \( \boldsymbol{H} \boldsymbol{F} \) is due to: A. high reactivity of fluoring B. small size of hydrogen atom C. formation of hydrogen bonds and consequent association D. high IE of flourine
1
Chemistry
Ketoenol tautomerism is not observed in: This question has multiple correct options A. phenol B. glycerol \( \mathbf{c} \cdot H C N \) D. benzophenone
1
Chemistry
Snow blindness is cause due to A. Ozone hole B. Nuclear winter c. Acid rain D. Green house effect
0
Biology
A respiratory cycle where \( N A D H_{2} \) is produced is the A. Calvin cycle. B. Krebs cycle. c. EMP pathway D. HMP shunt
0
Biology
Which of the following does not react with xenon to form compunds? A \( . O S e F_{5} \) в. \( O T e F_{5} \) \( c \cdot F_{2} \) D. \( N_{2} \)
1
Chemistry