BITSAT 2021

## Chemistry

The most volatile compound among the given option is

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What is the magnetic moment of Ti2+ ? (Given : Atomic number = 22)

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Why only Xe can form compounds with fluorine among noble gases?

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Which of the following inert gas is used as cryogenic agnet?

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For the following reaction
2A + 3B $$\to$$ 3C + 4D
expression for rate of reaction is

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Cyclohexanol on reacting with H2SO4 and then heating gives

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The major product obtained on reaction of 3-methylbutene with HCl is

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If Rydberg constant is same for all elements, the angular momentum and energy of Li2+ of which orbital is equal to angul

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Sodium iodide reacts with ammonia to gives

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In photography, which compound is used as a fixing agent

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The compound formed on reaction of epoxy ethane with NH3 and H2O is

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The process of removal of excess electrolyte from colloidal solution is

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Maltase converts maltose into

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Starch is a polymer of

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Methyl alcohol can be distinguished from ethyl alcohol using

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Sodium stearate (C17H35COO$$-$$Na+) is

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Which is not an anti-fluorite structure

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The structure of CIF3 is

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Which of the following is diamagnetic in nature?

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The correct order of bond order in SO2, SO3, SO$$_4^{2 - }$$, SO$$_3^{2 - }$$ is

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Ionisation energy for H+ ion is proportional to rn, then value of n is

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Role of BHA in food industries

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Permanganate ion (MnO$$_4^ - $$) is dark purple coloured though Mn is in + 7 oxidation state with d0 configuration. This

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Rutherford model could not explain

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Which is true in case of [Ni(CO)4]?

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SI unit of Boltzmann's constant is

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Acetone does not undergo which type of reaction?

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Magnetic moment of in [Co(F6)]2$$-$$ of unpaired electron .......... .

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Some statements about heavy water are given below
1. Heavy water is used as a moderator in nuclear reactors.
2. Heavy wa

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CH3$$-$$CHCl$$-$$CH2$$-$$CH3 has a chiral centre, which of the following represents its R configurations?

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In Victor Meyer's method 0.2 g of an organic substance displaced 56 mL of air at STP the molecular weight of the compoun

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For the complete combustion of ethanol, $${C_2}{H_5}OH(I) + 3{O_2}(g) \to 2C{O_2}(g) + 3{H_2}O(I)$$, the amount of heat

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The incorrect expression among the following is

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The solubility of Pb(OH)2 in water is 6.7 $$\times$$ 10$$-$$6 M. Its solubility in a buffer solution of pH = 8 would be

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The density (in g mL$$-$$1] of a 3.60 M sulphuric acid solution that is 29% H2SO4 (molar mass = 98 g mol$$-$$1) by mass

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The relative lowering of vapour pressure of a dilute aqueous solution containing non-volatile solute is 0.0125. The mola

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Equal masses of methane and oxygen are mixed in an empty container at 25$$^\circ$$C. The fraction of the total pressure

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The molar conductivities of KCl, NaCl and KNO3 are 152, 128 and 111 S cm2 mol$$-$$1 respectively. What is the molar cond

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The approximate time duration in hours to electroplate 30 g of calcium from molten calcium chloride using a current of 5

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Given, the reduction potential of Na+, Mg2+, Al3+ and Ag+ as $$E_{N{a^ + }/Na}^o$$ = $$-$$ 2.17 V; $$E_{M{g^{2 + }}/Mg}^

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## English Proficiency

Decay is an $$\underline {immutable} $$ factor of human life.

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It was an $$\underline {ignominious} $$ defect for the team.

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His $$\underline {conjecture} $$ was the better than mine.

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Freedom and quality are the ................ rights of every human.

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Pradeep's face spoke .................. of the happiness he was feeling.

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His speech was disappointing : it ................ all the major issues.

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Hydra is biologically believed to be immortal.

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The Gupta rulers patronised all cultural activities and thus Gupta period was called the golden era in Indian History.

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This is a barbarous act.

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A person who does not believe in any religion

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A person who believes that pleasure is the chief good

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One who loves mankind

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A. Tasty and healthy food can help you bring out their best.
B. One minute they are toddlers and next you see them in th

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A. It is hoping that overseas friends will bring in big money and lift the morale of the people.
B. But a lot needs to b

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A. However, women hiring is catching up at a slow and steady rate in the recent times.
B. Gender ratio has been inclined

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## Logical Reasoning

Choose the correct answer figure which will make a complete square on joining with the problem figure.

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In the following question, five figures are given. Out of them, find the three figures that can be joined to form a squa

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Choose the answer figure which completes the problem figure matrix.
Problem Figure

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From the given four positions of a single dice, find the color at the face opposite to the face having red color.

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In the following question, one or more dots are placed in the figure marked as (A). The figure is followed by four alter

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Complete the series by replacing '?' mark.
G4T, J9R, M20P, P43N, S90L, ?

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Neeraj starts walking towards South. After walking 15 m, he turns towards North. After walking 20 m, the turns towards E

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The average age of 8 men is increased by 2 yrs. when one of them whose age is 20 yr is replaced by a new man. What is th

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Shikha is mother-in-law of Ekta who is sister-in-law of Ankit. Pankaj is father of Sanjay, the only brother of Ankit. Ho

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In a row of forty children, P is thirteenth from the left end and Q is ninth from the right end. How many children are t

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## Mathematics

If Re(z + 2) = | z $$-$$ 2 |, then the locus of z is

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If a$$\in$$R, b$$\in$$R, then the equation x2 $$-$$ abx $$-$$ a2 = 0 has

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If a + 2b + 3c = 12, (a, b, c $$\in$$R+), then the maximum value of ab2c3 is

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Sum of n terms of the infinite series
1.32 + 2.52 + 3.72 + ..... $$\infty$$ is

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If log7 5 = a, log5 3 = b and log3 2 = c, then the logarithm of the number 70 to the base 225 is

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The maximum number of points of intersection of 10 circles is :

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$${{{C_1}} \over {{C_0}}} + 2{{{C_2}} \over {{C_1}}} + 3{{{C_3}} \over {{C_2}}} + 4{{{C_4}} \over {{C_3}}} + ....20{{{C_

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If p$$\ne$$ q $$\ne$$ r and $$\left| {\matrix{
0 & {x - p} & {x - q} \cr
{x + p} & 0 & {x - r} \cr
{x + q}

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Matrix $$A = \left| {\matrix{
x & 3 & 2 \cr
1 & y & 4 \cr
2 & 2 & z \cr
} } \right|$$, if xyz = 60 and

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If f(x) = 4x $$-$$ x2, x$$\in$$R, and f(a + 1) $$-$$ f(a $$-$$ 1) = 0, then a is equal to

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Which of the following is not an equivalence relation in z?

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Which of the following is always true?

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The solution of the inequality $${4^{ - x + 0.5}} - {7.2^{ - x}}

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If $${\cos ^3}x\,.\,\sin 2x = \sum\limits_{m = 1}^n {{a_m}\sin mx} $$ is identity in x, then

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Total number of solutions of $$\left| {\cot x} \right| = \cot x + {1 \over {\sin x}},x \in [0,3\pi ]$$ is equal to

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The minimum value of $${({\sin ^{ - 1}}x)^3} + {({\cos ^{ - 1}}x)^3}$$ is equal to

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The origin is shifted to (1, 2). The equation y2 $$-$$ 8x $$-$$ 4y + 12 = 0 changes to y2 = 4ax, then a is equal to

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The equations of the bisector of the angles between the straight lines 3x + 4y + 7 = 0 and 12x + 5y $$-$$ 8 = 0 are :

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Equation of circle which passes through the points (1, $$-$$2) and (3, $$-$$4) and touch the X-axis is

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If x = 9 is the chord of contact of the hyperbola x2 $$-$$ y2 = 9, then the equation of the corresponding pair of tangen

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The points with position vectors $$10\widehat i + 3\widehat j$$, $$12\widehat i - 5\widehat j$$ and $$a\widehat i + 11\w

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Let a, b, c be vectors of lengths 3, 4, 5 respectively and a be perpendicular to (b + c), b to (c + a) and c to (a + b),

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For non-zero vectors a, b, c; |(a $$\times$$ b) . c| = |a| |b| |c| holds if and only if

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Angle between the diagonals of a cube is

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Consider the two lines
$${L_1}:{{x + 1} \over 3} = {{y + 2} \over 1} = {{z + 1} \over 2}$$ and $${L_2}:{{x - 2} \over 1}

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The distance between the line $$r = 2\widehat i - 2\widehat j + 3\widehat k + \lambda (\widehat i - \widehat j + 4\wideh

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Two cards are drawn from a pack of 52 cards. What is the probability that either both are red or both are kings?

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If A and B are two independent events such that $$P(A) = {1 \over 2}$$ and $$P(B) = {1 \over 5}$$, then which of the fol

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Box I contains 5 red and 2 blue balls, while box II contains 2 red and 6 blue balls. A fair coin is tossed. If it turns

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For a random variable X, E(X) = 3 and E(X2) = 11. The variable of X is :

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The sum of 10 items is 12 and the sum of their squares is 18, then the standard deviation will be

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The height of the chimney when it is found that on walking towards it 50 m in the horizontal line through its base, the

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The value of $$\mathop {\lim }\limits_{x \to 0} {{\sqrt {1 - {{\cos x}^2}} } \over {1 - \cos x}}$$ is

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If $$f(x) = \left\{ {\matrix{
{a{x^2} + 1,} & {x \le 1} \cr
{{x^2} + ax + b,} & {x > 1} \cr
} } \right.$$ is

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The slope of the tangent to the curve x = t2 + 3t $$-$$ 8, y = 2t2 $$-$$ 2t $$-$$ 5 at the point t = 2 is

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$$\int {{1 \over {1 - 2\sin x}}dx} $$ is equal to

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$$\int\limits_0^1 {{{\log (1 + x)} \over {1 + {x^2}}}dx} $$ is equal to :

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The area of one curvilinear triangle formed by curves y = sin x, y = cos x and X-axis, is

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Solution of $$\left( {{{x + y - 1} \over {x + y - 2}}} \right){{dy} \over {dx}} = \left( {{{x + y + 1} \over {x + y + 2}

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If $$y = \sin \left( {2{{\tan }^{ - 1}}\sqrt {{{1 - x} \over {1 + x}}} } \right)$$, then $${{dy} \over {dx}}$$ is :

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The maximum value of the function y = x(x $$-$$ 1)2, is

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The solution of $${x^3}{{dy} \over {dx}} + 4{x^2}\tan y = {e^x}\sec y$$ satisfying y (1) = 0, is

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The runs of two players for 10 innings each are as follows
The more consistent player is

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The linear programming problem minimize z = 3x + 2y subject to constrains x + y $$\ge$$ 8, 3x + 5y $$\ge$$ 15, x $$\ge$$

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Find the area enclosed by the loop in the curve 4y2 = 4x2 $$-$$ x3.

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## Physics

An ideal monoatomic gas is taken round the cycle ABCDA as shown in the p-diagram
The work done during the cycle is

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The initial speed of a body of mass 2.0 kg is 5 m/s. A force acts for 4 s in the direction of motion of the body, as sho

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For a constant hydraulic stress on an object, the fractional change in the object's volume $$\left( {{{\Delta V} \over V

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A shunt is connected in parallel with a galvanometer. Why?

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The phase difference between Vout and Vin of CE amplifier circuit is

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If nth division of main scale coincides with (n + 1)th division of vernier scale. The least count of the vernier is (Giv

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A uniform rod AB of length L = 1 m is sliding along two mutually perpendicular surfaces OP and OQ as shown in the figure

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A tray of mass (M) 12 kg is supported by a spring as shown in the figure.
When the tray is pressed down and released, i

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The phasor diagram of a load represents which circuit?

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The equation of progressive wave is given by $$Y = \sin \left[ {x\left( {{t \over 5} - {x \over 9}} \right) + {\pi \ove

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The property of light used in optical fibre cables is

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A man walks in a straight line for 5 min with a velocity of 45 m/s. What is the speed with which he has to move in order

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From a solid sphere of mass M and radius R, a spherical portion of radius $${R \over 2}$$ is removed as shown in the fig

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Four charges equal to + Q are placed at the four corners of a square and a charge ($$-$$q) is at its centre. If the syst

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A force F = a + bx acts on a particle in the x-direction where a and b are constants. The work done by this force during

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A proton has kinetic energy E = 100 eV which is equal to that of a photon. The wavelength of photon is $$\lambda$$2 and

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A block of mass 10 kg rests on a rough inclined plane making an angle of 30$$^\circ$$ with the horizontal. The coefficie

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Which of the following graphs show the correct relation between conductivity and temperature for a metallic conductor?

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The radius of a muonic hydrogen atom is 2.5 $$\times$$ 10$$-$$13 m. The total atomic volume (in m3) of a mole of such hy

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The angular momentum of a body placed at origin of mass 1 kg and having position vector $$r = 3t\widehat i + 4\widehat j

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If the earth stops rotating about its axis, then what will be the change in the value of g at a place in the equatorial

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Two cars approach a stationary observer from opposite sides as shown in the figure.
The observer hears no beats. If the

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In the following circuit, assuming point A to be at zero potential, then what is the potential at point B?

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Two plane mirrors A and B are aligned parallel to each other as shown in the figure.
A ray of light is incident at an a

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A projectile is given an initial velocity of $$(\widehat i + \widehat j)$$ m/s, where, $$\widehat i$$ is along the groun

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Two drops of equal radius (R) coalesce to form a bigger drop. What is the ratio of surface energy of bigger drop to smal

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Two particles A and B of masses mA and mB respectively, are having same charge and moving on same plane. A uniform magne

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The potential difference applied to an X-ray tube is decreased. As a result, in the emitted radiation,

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The ratio of the specific heats $${{{C_v}} \over {{C_p}}} = {1 \over \gamma }$$ in terms of degrees of freedom (n) is gi

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A cyclist speeding at 6 m/s in a circle of 18 m radius makes an angle $$\theta$$ with the vertical. The minimum possible

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Three particles each of mass m are kept at the vertices of an equilateral triangle of side b. Moment of inertia of the s

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An electric dipole is placed at an angle of 30$$^\circ$$ in a non-uniform electric field. The dipole will experience

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Two coils A and B have a mutual inductance 0.001 H. The current changes in the first coil according to the equation $$i

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The current in the circuit will be

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The bob of a pendulum of length 2 m lies at P, when it reaches Q, it losses 10% of its total energy due to air resistanc

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A particle executes SHM with a frequency f. The frequency with which its kinetic energy oscillates is

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A radioactive sample at any instant has its disintegration rate 5000 disintegrations per min. After 5 min, the rate is 1

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The separation between two parallel plates of capacitor is 1 mm. What is the electric potential generates between the pl

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Choose the correct statement.

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A T-shaped object with dimensions shown in figure, is lying on a smooth floor. A force F is applied at the point P paral

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