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Parallel venation is a characteristic feature of A. Monocotyledon B. Dicotyledon c. Pteridophytes D. Bryophytes
0
Biology
\( \int\left(\frac{x^{6}-1}{x^{2}+1}\right) d x \)
2
Maths
If the radius and the height of a right circular cylinder are doubled, its volume becomes A. 2 times B. 3 times c. 4 times D. 8 times
2
Maths
State whether the given statement is true or false. Statement: Metal has the tendency to lose electron so they are reducing in nature while non-metals have the tendency to gain electrons so they are oxidizing in nature A. True B. False
1
Chemistry
Write down the number of significant figures in the following value. \( \mathbf{0 . 0 6 2 8 c m} \) A . four B. three c. \( t w o \) D. one
3
Physics
Assertion Development is the sum of growth and differentiation. Reason Development in plants is under the control of extrinstic factors 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
0
Biology
Balance reaction when dil. HCl is added to lead nitrate solution. A \( \cdot \operatorname{Pb}\left(N O_{2}\right)_{2}+2 H C l \rightarrow P b C l_{2}+2 H N O_{3} \) В \( \cdot_{2 P b}\left(N O_{3}\right)_{2}+2 H C l \rightarrow 2 P b C l_{2}+H N O_{3} \) c. \( \operatorname{Pb}\left(N O_{3}\right)_{2}+2 H C l \rightarrow P b C l_{2}+2 H N O_{3} \) D. \( \operatorname{Pb}\left(N O_{3}\right)_{2}+H C l \rightarrow P b C l_{2}+H N O_{3} \)
1
Chemistry
A step-down transformer increases the input current \( 4 A \) to 24 A at the secondary. If the, number of turns in the primary coil is \( 330, \) the number of turns in the secondary coil is A . 60 B. 50 \( c \cdot 65 \) D. 45 E. 55
3
Physics
A chord \( A B \) of a circle, of radius \( 14 \mathrm{cm} \) makes an angle of \( 60^{\circ} \) at the centre of the circle. Find the area of the minor segments of the circle.
2
Maths
Undigested food or thyme does not pass through A. pancreas B. duodenum c. large intestine D. stomach
0
Biology
is called as animal starch. A. Starch B. Glycogen c. cellulose D. None of the above
1
Chemistry
Find \( \angle D O C \) \( \mathbf{A} \cdot 45^{\circ} \) B \( .50^{\circ} \) \( c \cdot 30^{\circ} \) \( \mathbf{D} \cdot 65^{\circ} \)
2
Maths
State whether the following statement is true/false. \( \frac{2375}{375} \) is not a terminating decimal A. True B. False
2
Maths
An element with atomic number 82 belongs to the group: A . 16 B. 12 \( c \cdot 14 \) \( D \cdot 2 \)
1
Chemistry
\( \left[B a^{2+}\right] \) when \( C a S O_{4} \) starts just precipitation will be: \( \mathbf{A} \cdot\left[B a^{2+}\right]=4.58 \times 10^{-7} M \) B . \( \left[B a^{2+}\right]=5.58 \times 10^{-7} M \) C \( \cdot\left[B a^{2+}\right]=4.85 \times 10^{-7} M \) D. None of these
1
Chemistry
Domain formation is the necessary feature of A. ferro magnetism B. paramagnetism c. diamagnetism D. electro magnetism
3
Physics
A car, starting from rest, accelerates at the rate \( \boldsymbol{f} \) through a distance \( \boldsymbol{S}, \) then continues at constant speed for time \( t \) and then decelerates at the rate \( \frac{f}{2} \) to come to rest. If the total distance traversed is \( 15 S, \) then A \( \cdot S=\frac{1}{2} f t^{2} \) B . \( S=\frac{1}{4} f t^{2} \) \( \mathbf{c} \cdot S=\frac{1}{72} f t^{2} \) D. \( S=\frac{1}{6} f t^{2} \)
3
Physics
If \( O_{3} \) is dissociating into \( O_{2} \) then molecular weight of \( O_{3} \) may be: A . 48 B. 64 c. 40 D. 50
1
Chemistry
Out of \( \mathrm{HPO}_{3} \) and \( \mathrm{H}_{3} \mathrm{PO}_{2} \) the more powerful oxidant is : \( A \cdot \mathrm{HPO}_{3} \) в. \( \mathrm{H}_{3} \mathrm{PO}_{2} \) c. equal D. None
1
Chemistry
\( \boldsymbol{y}_{1}=\mathbf{8} \boldsymbol{8} \sin (\boldsymbol{\omega} \boldsymbol{t}-\boldsymbol{k} \boldsymbol{x}) \) and \( \boldsymbol{y}_{2}= \) \( 6 \sin (\omega t+k x) \) are two waves travelling in a string of area of cross-section \( s \) and density \( \rho . \) These two waves are superimposed to produce a standing wave. Find the total amount of energy crossing through a node per second. A \( \cdot \frac{2 \rho \omega^{3} s}{k} \) B. \( \frac{3 \rho \omega^{3} s}{k} \) c. \( \frac{5 \rho \omega^{3} s}{k} \) D. \( \frac{6 \rho \omega^{3} s}{k} \)
3
Physics
Determine the. oxidation state of chromium in the finfll product formed by the reaction between KI and acidified potassium dichromate solution. \( A \cdot+3 \) \( B .+2 \) \( c \cdot+1 \) \( D \ldots-3 \)
1
Chemistry
For what phase difference between two SHMs will the amplitude of the resultant SHM be zero A . \( \pi / 2 \) в. \( 2 \pi \) \( c . \pi \) D. 0
3
Physics
After stem cutting, induction of rooting by auxin treatment would be beneficial in which of the following? A. Marchantia B. Wheat c. cuscuta D. Bougainvillea
0
Biology
Which of them can be used as a catalyst? A. Neodymium phosphide B. Cerium phosphate c. Praseodymium oxide D. Neodymium(III) nitrate
1
Chemistry
Layer test is associated with : A. chloroform B. pyrene C. bromine D. wood alcoho
1
Chemistry
Active and passive transports across cell membrane differ in A. Passive transport is non-selective B. Passive transport is along the concentration gradient while active transport is due to metabolic energy c. Active transport is more rapid D. Passive transport is confined to anions while active transport in confined to cations
0
Biology
The angles of triangle are \( x, 5 x, 9 x \) then find the angles of triangle.
2
Maths
How much ammonia 1 M solution of ammonium hydroxide contains? (in g) \( A \cdot 35 g \) B. 17 g \( c \cdot 348 \) D. None of these
1
Chemistry
The sensitivity of a galvanometer will increase if A. radius of coil is increased B. number of turns in coil is decreased c. radius of coil is decreased D. a strong field is used
3
Physics
The surface of a metal is illuminated with the light of 400 nm. The kinetic energy of the ejected photoelectrons was found to be \( 1.68 \mathrm{eV} \). The work function of the metal is : \( (h c=1240 \mathrm{eV} . n m) \) A . \( 3.09 \mathrm{eV} \) в. \( 1.41 \mathrm{eV} \) c. \( 1.51 \mathrm{eV} \) D. \( 1.68 \mathrm{eV} \)
3
Physics
If the temperature scale is changed from \( ^{0} \mathrm{C} \) to \( ^{0} \mathrm{F} \). the numerical value of specific heat will \( A \). increase B. decrease c. remain unchanged D. nothing can be said
3
Physics
Secretin stimulates secretion of bicarbonate from A. Liver B. Kidneys c. Pancreas D. Stomach
0
Biology
In an AC series circuit, the instantaneous current is maximum when the instantaneous voltage is maximum. The circuit element connected to the source will be A. Pure indicator B. Pure capacitor C. Pure resistor D. Combination of a capacitor and an indicator
3
Physics
Which of the following is an example of an aldopentose? A. D-Ribose B. Glyceraldehyde c. Fructose D. Erythrose
1
Chemistry
Let the perpendicular from any point on the line \( 2 x+11 y=5 \) upon the lines \( 24 x+7 y=20 \) and \( 4 x-3 y=2 \) have the lengths \( p \) and \( p^{\prime} \) respectively. Then A \( \cdot 2 p=p^{\prime} \) В . \( p=p^{\prime} \) c. \( p=2 p^{\prime} \) D. none of these
2
Maths
Fill in the blank. In longitudinal waves, the particles vibrate in direction of propagation. A. parallel B. perpendicular c. \( 45^{\circ} \) inclined D. \( 60^{0} \) inclined
3
Physics
If \( A \) and \( B \) mutually exclusive events associated with a random experiment such that \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 4} \) and \( \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 5} \) then find \( \boldsymbol{P}(\boldsymbol{A} \cap \overline{\boldsymbol{B}}) \)
2
Maths
Find the Variance and Standard Deviation of the values 4,4,4,4,4,4 using short-cut method. A .4 B. 0 c. 12 D. None of these
2
Maths
Gibberellins could be extracted from A. Rice B. Fungus c. Diseased plant D. None of the above
0
Biology
A proton is accelerated to one-tenth of the velocity of light. If its velocity can be measured with a precision \( \pm 1 \% \), then its uncertainty in position is: A \( \cdot 1.05 \times 10^{-13} m \) В. \( 1.13 \times 10^{-13} \mathrm{m} \) c. \( 1.15 \times 10^{-13} \mathrm{m} \) D. \( 1.25 \times 10^{-13} \mathrm{m} \)
1
Chemistry
The order and degree of \( \left[\frac{d^{2} y}{d x^{2}}+\left(\frac{d y}{d x}\right)^{2}\right]^{1 / 2}=\frac{d^{3} y}{d x^{3}} \) is: \( A \cdot 1,2 \) B. 3, c. 3,2 D. 2,
2
Maths
Which solution has the greatest percent ionization? \( \mathbf{A} \cdot 0.10 \mathrm{M} N H_{3}\left(K_{b}=1.8 \times 10^{-5}\right) \) B. 0.25 M \( H N O_{2}\left(K_{1}=4.5 \times 10^{-4}\right) \) C . 1.000 M HCOOH \( \left(K_{a}=1.7 \times 10^{-4}\right) \) D . \( 2.000 \mathrm{M} C H_{3} N H_{2}\left(K_{b}=4.4 \times 10^{-4}\right) \)
1
Chemistry
Which is a common standard for calibrating a bomb calorimeter in teaching laboratories? A . Acetic acid B. Benzoic acid c. Picric acid D. Pheno
1
Chemistry
Show that the function \( f \) given by \( f(x)=10^{x} \) is increasing for all \( x \)
2
Maths
Astronauts communicate with one another on moon with the help of A. radio waves B. sound waves c. ultrasound waves D. infrasound waves
3
Physics
Red phosphorous is less soluble and less volatile than white phosphorous because of : A. Polymerized structure B. Discrete P 4 molecules c. Its red colour D. It is less reactive
1
Chemistry
Draw a labelled diagram showing the vertical section of the human brain. State two functions each of the cerebrum, cerebellum and medulla oblongata
0
Biology
The time taken by a particle in reaching from a trough to its next crest in a transverse wave is A . \( T / 4 \) B. T/2 c. D. 3T/4
3
Physics
Differentiate the following functions with respect to \( \boldsymbol{x} \) \( \cos ^{-1}\left\{\frac{\cos x+\sin x}{\sqrt{2}}\right\},-\frac{\pi}{4}<x<\frac{\pi}{4} \)
2
Maths
The probability distribution of a random variable \( X \) is given below: \[ \begin{array}{lllll} \mathrm{x}: & 0 & 1 & 2 & 3 \\ \mathrm{P}(\mathrm{x}): & \mathrm{k} & \frac{k}{2} & \frac{k}{4} & \frac{k}{8} \end{array} \] Determine the value of \( X, \) if \( k=\frac{8}{X} \)
2
Maths
What is meant by vinegar and gasohol? What are their uses?
1
Chemistry
What is Solar Panel? Write its main three uses.
3
Physics
An element \( X \) forms two oxides \( X O \) and \( X O_{2} . \) The oxide \( X O \) is neutral but \( X O_{2} \) is acidic in nature. The element \( X \) is most likely to be: A. sulphur B. carbon c. calcium D. hydrogen
1
Chemistry
Artificial (man-made) wool is known by the name: A. rayon B. acrylicc c. polycot D. none of these
1
Chemistry
Which of the following process does not occur through convection A. boiling of water B. land breeze and sea breeze c. circulation of air around furnace D. heating of glass bulb through filament
3
Physics
A plank of mass \( 5 k g \) placed on a frictionless horizontal plane. Further a block of mass \( 1 k g \) is placed over the plank. A massless spring of natural length \( 2 m \) is fixed to the plank by its one end. The other end of spring is compressed by the block by half of spring's natural length. They system is now released from the rest. What is the velocity of the plank when block leaves the plank? (The stiffness constant of spring is \( 100 N / m \) ).
3
Physics
Which of the followings is/are correct? This question has multiple correct options A. In the structure of \( I F_{2}^{+} \) bond angle is smaller than the tetrahedral angle because of lone pair-lone pair repulsion B. In the structure of \( I F_{4}^{+} \), there is \( s p^{3} \) hybridisation with bond angle of \( 109^{\circ} 28^{\prime} \) C. In the structure of \( I F_{6}^{+} \), there are six bonding electrons and no lone pairs D. In the structure of \( I F_{4}^{+} \), two F-atoms one at equatorial positions and two are inclined at an angle less than \( 120^{\circ} \) due to lone pair-bond pair repulsion
1
Chemistry
What is the percentage of persons who read only two papers? A \( .19 \% \) (年 \( 1.1 \% \) B. \( 31 \% \) c. \( 44 \% \) D. None of the above
2
Maths
Draw a labelled diagram of an electric generator
3
Physics
A closed vessesl contains 8 gms of oxygen and \( 7 \mathrm{gm} \) of Nitrogen. Total pressure at a certain temperature is 10 atm. When all the oxygen is removed from the system without chage in temperature then the pressure will be A. \( 10 \times 7 / 15 \) atm B. 10 x 8/15atm c. \( 10 \times 8 / 16 \) atm D. \( 10 \times 8 / 32 \) atm
3
Physics
The oxyacids of phosphorous which show powerful reducing properties but no oxidizing properties are : A. \( H_{3} P O_{2}, H_{3} P O_{3} \) в. \( H_{3} P O_{2}, H_{3} P O_{4} \) \( \mathrm{c} \cdot H_{3} P O_{3}, H_{3} P O_{4} \) D. \( H P O_{3}, H_{3} P O_{3} \)
1
Chemistry
Solve the following differential equation \( \cos x \frac{d y}{d x}-\cos 2 x=\cos 3 x \)
2
Maths
Red rot of sugarcane and white rust of radish respectively are caused by A. Albugo candida and Cercospora B. Colletotrichum and Fusarium c. Pythium and Phytophthora D. Albugo candida and Puccinia graminis E. Colletotrichum and Albugo candida
0
Biology
Maximum number of enzymes are found in A . Herbivores B. Carnivores c. Omnivores D. None of these
0
Biology
The position of xylem position in secondary xylem is A. Exarch B. Endarch c. Mesarch D. None of the above
0
Biology
Which hormone controls secretion of oestrogen? A. Progesterone B. Follicle stimulating hormone c. Aldosterone D. Adrenaline
0
Biology
Two conducting spheres of radii \( r_{1} \) and \( r_{2} \) are equally charged. The ratio of their potentials is : A \( \cdot r_{1} / r_{2} \) в. \( r_{2} / r_{1} \) \( \mathbf{c} \cdot r_{1}^{2} / r_{2}^{2} \) \( \mathbf{D} \cdot r_{2}^{2} / r_{1}^{2} \)
3
Physics
A given charge situated at certain distance from an electric dipole in the end on position, experiences a force F. If the distance of charge is doubled, the force acting on the charge will be A \( .2 F \) в. \( F / 2 \) c. \( F / 4 \) D. \( F / 8 \)
3
Physics
Archinephros occurs in A. Adult hagfish B. Larva of hagfish c. Molluscs D. Anamniotes
0
Biology
A solution contains 2.80 moles of acetone \( \left(C H_{3} C O C H_{3}\right) \) and 8.20 moles of \( C H C l_{3} \). Calculate the mole fraction of acetone.(give answer in \( 110 X) \)
1
Chemistry
Which among the following is most reactive to give nucleophilic addition? A. \( F C H_{2} C H O \) в. \( C l C H_{2} C H O \) \( \mathrm{c} \cdot B r C H_{2} C H O \) D. \( I C H_{2} C H O \)
1
Chemistry
The end error of a meter bridge can be generated due to which of the following causes/(s) A. Generation of heat due to the flow of current in the wirce may change the length of the wire B. Due to the change of the weather, the length of the meter bridge wire may change its length. c. The meter bridge wire is mounted over the wooden plary some metal screw or some metal D. The thickness of the wire may be non uniform.
3
Physics
Three bricks each of length \( L \) and mass \( M \) are arranged as shown from the wall. The distance of the centre of mass of the system from the wall is? A \( \frac{11}{12} L \) в. \( \frac{7}{8} L \) c. \( \frac{1}{12} L \) D. \( \frac{15}{1} L \)
3
Physics
When phosphorus reacts with caustic soda, the products are \( P H_{3} \) and \( N a H_{2} P O_{2} . \) This reaction is an example of. A. Oxidation B. Reduction c. Disproportionation D. None of these
1
Chemistry
Tell whether the following is certain to happen, impossible can happen but not certain. You are older today than yesterday.
2
Maths
Show that the equilibrium is unstable.
3
Physics
A body falls freely from rest. If at an instant, the velocity acquired is numerically equal to the displacement, then the velocity acquired is: A. \( 9.8 \mathrm{m} / \mathrm{s} \) B. \( 19.6 \mathrm{m} / \mathrm{s} \) c. \( 29.4 \mathrm{m} / \mathrm{s} \) D. \( 39.2 \mathrm{m} / \mathrm{s} \)
3
Physics
From an external point, \( K \) tangents can be drawn to a circle, then \( \mathrm{K} \) is equal to \( \mathbf{A} \cdot \mathbf{0} \) B. c. 1 \( D \cdot \alpha \)
2
Maths
Green leaf like one internode long stem branches/phylloclades are called A. Phylloclades B. Phyllodes c. Bulbils D. Cladodes
0
Biology
Very short answer type. Mention the most significant function/role of rennin
0
Biology
\( M^{3+} \) has electronic configuration as \( [A r] 3 d^{10}, \) hence it lies in: A. \( s \) -block B. p-block c. \( d \) -block D. \( f \) -block
1
Chemistry
The volume of cylinder if the base area is \( 20 c m^{2} \) and height is \( 5 c m \)
2
Maths
Companion cells are closely associated with A. Sieve elements B. Vessel elements c. Trichomes D. Guard cells
0
Biology
Explain with an example how the concentration of the reactants affects the rate of a chemical reaction.
1
Chemistry
Evaluate \( \lim _{x \rightarrow \pi / 2} \frac{\cos x}{\pi-2 x} \)
2
Maths
Among the following compounds which will react with acetone to give a product containing \( >\boldsymbol{C}=\boldsymbol{N}-? \) A. \( C_{6} H_{5} N H C O C l \) в. \( \left(C H_{3}\right)_{2} N-C H_{3} \) c. \( C_{6} H_{5} N H N H_{2} \) D. \( C_{6} H_{5} N H C_{6} H_{5} \)
1
Chemistry
A large steel wheel is to be fitted on to a shaft of the same material. At \( 27^{\circ} C \) the outer diameter of the shaft is \( 8.70 \mathrm{cm} \) and the diameter of the central hole in the wheel is \( 8.69 \mathrm{cm} . \) The shaft is cooled using 'dry ice'. At what temperature of the shaft does the wheel slip on the shaft? Assume coefficient of linear expansion of the steel to the constant over the required temperature range: \( \boldsymbol{\alpha}_{\text {steel}}=\mathbf{1 . 2 0} \times \mathbf{1 0}^{-\mathbf{5}} \mathbf{K}^{-\mathbf{1}} \)
3
Physics
The circle and the square have the same center and the same area. If the circle has radius \( 1, \) the length of \( A B \) is A \( .4-7 \) B . \( 4-2 \sqrt{\pi} \) \( c \cdot 2-\sqrt{\pi} \) D. \( \sqrt{4-\pi} \)
2
Maths
Distinction between speed and velocity is : A. speed is vector while velocity is scalar B. speed is scalar while velocity is vector C. speed and velocity are scalars. D. speed and velocity are vectors.
3
Physics
Number of value of \( \boldsymbol{x} \in[\mathbf{0}, \mathbf{4} \boldsymbol{\pi}] \) and satisfying \( \sqrt{2} \sec x+\tan x=1 \) is?
2
Maths
Differentiate between radially symmetrical and bilaterally symmetrical organisms.
0
Biology
Which is \( 2^{n d} \) step? \( a \) \( (b) \) \( e \cdot(c) \) ).
2
Maths
The attached figure shows a planet revolving a star. It was recorded that the planet takes 50 days to travel from \( T \) to U. Which other two observations could be 50 days apart? A. \( \mathrm{V} \) and \( \mathrm{W} \) B. Wand Y c. \( x \) and \( Y \) D. \( x \) and \( z \) E. \( Y \) and
3
Physics
Evaluate the following integral: \( \int_{0}^{3}\left(2 x^{2}+3 x+5\right) d x \)
2
Maths
Relative stabilities of the following structures of \( \boldsymbol{C} \boldsymbol{H}_{2}=\boldsymbol{C} \boldsymbol{H}-\boldsymbol{C} \boldsymbol{H} \boldsymbol{O} \) are in this decreasing order: \( A \cdot\|>1>\| \) c. \( \|\mid>\|>1 \) D. |>॥|| > ||
1
Chemistry
What do you understand by the static or frictional electricity? A. Discarging of two bodies on rubbing them together is called static or frictional electricity. B. Charging of two bodies on rubbing them together is called static or frictional electricity. C. Electricity which is static is called static or frictional electricity. D. Electricity on high friction bodies is called static or frictional electricity.
3
Physics
Iron is rendered passive in: A. aquaregia B. conc. H_so c. con. HNO \( _{3} \) D. conc. HCI
1
Chemistry
Find the slope of the straight line passing through the points (3,-2) and (-1,4)
2
Maths
The enthalpy and entropy change for a chemical reaction are \( -2.5 \times 10^{3} \mathrm{cal} \) and 7.4 cal \( K^{-1} \) respectively. Predict the nature of reaction at \( 298 \mathrm{K} \)
1
Chemistry
A circle with area \( A_{1} \) is contained in the interior of a larger circle with area \( \boldsymbol{A}_{\mathbf{1}}+ \) \( A_{2} . \) If the radius of the larger circle is 3 and \( A_{1}, A_{2}, A_{1}+A_{2} \) are in A.P., what is the radius of the smaller circle? A \( \cdot \frac{\sqrt{3}}{2} \) B. \( \frac{2}{\sqrt{3}} \) \( c \cdot \sqrt{3} \) D. \( \frac{3}{2} \)
2
Maths