BITSAT 2022

## Chemistry

Which one of the following is correct order of given isotopes?
I. T2 > D2 > P2 (order of boiling point)
II. T2 > D2 > P2

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Ninhydrin gives yellow colour in paper chromatography with which amino acid?

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How will raise in temperature affects the viscosity of liquids and gases?

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Which of the following compounds is thermodynamically is the most stable?

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Glucose reacts with X number of molecules of phenyl hydrazine to yield osazone. The value of X is,

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Nylon-6, 6 is obtained from

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What is the hybridisation of [CrF6]3$$-$$ ?

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OF and F2 can be compared in terms of

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ortho and para form of hydrogen have

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The structure of H2O2 is

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Match the species in Column I with their types in Column II.
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{b

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In which pair or pairs is the stronger bond found in the first species?
I. O$$_2^{2 - }$$, O2; II. N2, N$$_2^{+ }$$; III

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Select the correct statement about the complex [Co(NH3)5SO4] Br.

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A certain metal sulphide, MS2, is used extensively as a high temperature lubricant. If MS2 is 40.06% by mass sulphur, me

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X and Y are

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Ge (II) compounds are powerful reducing agents whereas Pb (IV) compounds are strong oxidants. It can be because

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Which compound has antifluorite structure?

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100 mL of 2 M of formic acid (pKa = 3.74) is neutralise by NaOH, at the equivalence point pH is

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The reaction of C6H5CH = CHCH3 with HBr produces

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The number of 3C$$-$$2e$$-$$ bonds present in diborane is

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Standard entropy of X2, Y2 and XY2 are 60, 40 and 50 JK$$-$$1mol$$-$$1, respectively. For the reaction, $$\frac{1}{2}$$X

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The total number of P$$-$$OH bonds for pyrophosphoric acid

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Using the standard electrode potential, find out the pair between which redox reaction is not feasible.
E$$^\Theta $$ va

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What is [NH$$_{4}^+$$] in a solution that is 0.02 M NH3 0.01 M KOH ? [Kb(NH3) = 1.8 $$\times$$ 10$$-$$5]

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For an isomerisation reaction A $$\rightleftharpoons$$ B, the temperature dependence of equilibrium constant is given by

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In an adiabatic process, no transfer of heat takes place between system and surrounding. Choose the correct option for f

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The given graph represents the variation of compressibility factor (Z) = $$\frac{pV}{nRT}$$, for three real gases A, B a

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Which one of the following statements in relation to the hydrogen atom is correct?

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In the molecules CH4, NF3, NH$$_4^ + $$ and H2O

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0.20 g of an organic compound gave 0.12 g of AgBr. By using Carius method, the percentage of bromine in the compound wil

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## English Proficiency

$$\underline {Forthrightness} $$ in speech may not always be a desirable quality.

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The $$\underline {inexorable} $$ demands of the workers brought the company to a closure.

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Then her face was bowed.

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The complex form of the sentence given below would be
Spare the rod and spoil the child.

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The attack on the freedom of the press is a $$retrograde$$ step.

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The leader might have had some $$covert$$ reason for the change of his political affiliations.

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Regard for other as a principle of action or selflessly.

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Code of diplomatic etiquette and precedence is

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(A) Now under liberated economy they are learning to compete domestically and globally.
(B) In India corporations until

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(A) Recovery was given inadequate attention and consequently some bank branches regularly incurred heavy losses and thei

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## Logical Reasoning

Select the figure that can replace the question mark (?) in the following series.

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'A + B' means 'A is the mother of B'.
'A $$-$$ B' means 'A is the brother of B'.
'A $$\times$$ B' means 'A is the father

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Three different positions of the same dice are shown, the six faces of which are numbered from 1 to 6. Select the number

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Select the option in which the given figure X is embedded (rotation is not allowed).

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Selecty the letter-cluster that can replace the question mark (?) in the following series.
TULG, WRPC, ZOTY, CLXU, ?

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How many triangles are there in the given figure?

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The average marks of 50 students in a class was found to be 64. If the marks of two students were incorrectly entered as

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Select the correct mirror image of the given figure when the mirror is placed on the right of the figure.

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Six friends A, B, C, D, E and F are sitting around a round table facing the centre. A sits second to the right of B, E s

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Five friends A, B, C, D and E bought cars which were priced differently. B's car was costlier than C's car but was less

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In the following question, complete the missing segment by selecting the appropriate figure from the given alternatives,

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In each of the following question, find out which of the answer figures (a), (b), (c) and (d) completes the figure matri

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Statements
60% of government employees went on strike.
Mr. Gopal is a government employee.
Conclusions
I. Mr. Gopal went

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Statements
Lawyers marry only fair girls.
Shobha is very fair.
Conclusions
I. Shobha is married to a lawyer.
II. Shobha

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In the question given below, find out which of the figures can be formed from the pieces given in the problem figure.

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Select the option in which the words share the same relationship as that shared by the given pair of words.
Barometer :

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Select the option in which the words share the same relationship as that shared by the given set of words.
Cat : Lion :

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'Needle' is related to 'Sew' in the same way as 'Microscope' is related to '...........' .

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Select the option that is related to the fifth number in the same way as the second number is related to the first numbe

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Select the letter-cluster that can replace the question mark (?) in the following series.
TXB, QWE, NVH, KUK, ?

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## Mathematics

If $$\alpha$$ be a root of the equation $$4{x^2} + 2x - 1 = 0$$, then the other root of the equation is

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If A = {x : x is a multiple of 4} and B = {x : x is a multiple of 6}, then A $$\cap$$ B consists of multiples of

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If $$|w| = 2$$, then the set of points $$z = w - {1 \over w}$$ is contained in or equal to the set of points z satisfyin

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The value of $$\mathop {\lim }\limits_{x \to 0} {{1-\cos (1 - \cos x)} \over {{x^4}}}$$ is

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Let a1, a2, ...... a40 be in AP and h1, h2, ..... h10 be in HP. If a1 = h1 = 2 and a10 = h10 = 3, then a4h7 is

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The number of terms in the expansion of $${(1 + 5\sqrt {2x} )^9} + {(1 - 5\sqrt {2x} )^9}$$ is

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The number of different seven-digit numbers that can be written using only the three digits 1, 2 and 3 with the conditio

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Given 2x $$-$$ y + 2z = 2, x $$-$$ 2y + z = $$-$$4, x + y + $$\lambda$$z = 4, then the value of $$\lambda$$ such that th

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Let $$A = \left[ {\matrix{
1 & { - 1} & 1 \cr
2 & 1 & { - 3} \cr
1 & 1 & 1 \cr
} } \right]$$ and $$10B

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If $$x \in \left( {0,{\pi \over 2}} \right)$$, then the value of $${\cos ^{ - 1}}\left( {{7 \over 2}(1 + \cos 2x) + \sq

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A running track of 440 ft is to be laid out enclosing a football field, the shape of which is a rectangle with a semi-ci

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$$\left( {{{dy} \over {dx}}} \right)\tan x = y{\sec ^2}x + \sin x$$, find general solution

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If the straight line $$y = mx + c$$ touches the parabola $${y^2} - 4ax + 4{a^3} = 0$$, then c is

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A normal is drawn at the point P to the parabola $${y^2} = 8x$$, which is inclined at 60$$^\circ$$ with the straight lin

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The value of $$\int {{1 \over {{{[{{(x - 1)}^3}{{(x + 2)}^5}]}^{{1 \over 4}}}}}dx} $$, is

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The area of the region bounded by the parabola $${(y - 2)^2} = (x - 1)$$, the tangent to the parabola at the point (2, 3

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$$\widehat u$$ and $$\widehat v$$ are two non-collinear unit vectors such that $$\left| {{{\widehat u + \widehat v} \ove

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A six faced die is a biased one. It is thrice more likely to show an odd numbers than show an even number. It is thrown

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The sum of all the solution of the equation $$\cos \theta \cos \left( {{\pi \over 3} + \theta } \right)\cos \left( {{\p

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Let $$\alpha$$ be the solution of $${16^{{{\sin }^2}\theta }} + {16^{{{\cos }^2}\theta }} = 10$$ in $$\left( {0,{\pi \o

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For each parabola y = x2 + px + q, meeting coordinate axes at 3-distinct points, if circles are drawn through these poin

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The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is

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Let a1, a2, a3 .... be a harmonic progression with a1 = 5 and a20 = 25. The least positive integer n for which an

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If the plane $$3x + y + 2z + 6 = 0$$ is parallel to the line $${{3x - 1} \over {2b}} = 3 - y = {{z - 1} \over a}$$, then

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Let a, b be the solutions of x2 + px + 1 = 0 and c, d be the solution of x2 + qx + 1 = 0. If (a $$-$$ c) (b $$-$$ c) and

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If $$\left[ {\matrix{
1 & { - \tan \theta } \cr
{\tan \theta } & 1 \cr
} } \right]{\left[ {\matrix{
1 & {

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The value of $$\mathop {\lim }\limits_{x \to 0} {{{{(1 + x)}^{{1 \over x}}} - e + {1 \over 2}ex} \over {{x^2}}}$$ is

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The locus of the mid-point of the chord if contact of tangents drawn from points lying on the straight line $$4x - 5y =

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Let $$f(x) = \int {{{{x^2}dx} \over {(1 + {x^2})(1 + \sqrt {1 + {x^2}} )}}} $$ and $$f(0) = 0$$, then the value of $$f(1

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The mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2 and 6, then the ot

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In a sequence of 21 terms, the first 11 terms are in AP with common difference 2 and the last 11 terms are in GP with co

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If p $$\ne$$ a, q $$\ne$$ b, r $$\ne$$ c and the system of equations
px + ay + az = 0
bx + qy + bz = 0
cx + cy + rz = 0

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If g(x) = x2 + x $$-$$ 2 and $$\frac{1}{2}gof(x)=2x^2-5x+2$$, then f(x) is equal to

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The smallest positive integral value of n such that $${\left[ {{{1 + \sin {\pi \over 8} + i\cos {\pi \over 8}} \over {

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A house subtends a right angle at the window of a opposite house and the angle of elevation of the window from the botto

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A spherical balloon is filled with 4500$$\pi$$ cubic meters of helium gas. If a leak in the balloon causes the gas to es

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If in a $$\Delta$$ABC, 2b2 = a2 + c2, then $$\frac{\sin 3B}{\sin B}$$ is equal to

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If the sum of the coefficients in the expansion of (x + y)n is 1024, then the value of the greatest coefficient in the e

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The area enclosed by the curves $$y = \sin x + \cos x$$ and $$y = |\cos x - \sin x|$$ over the interval $$\left[ {0,{\pi

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If $$\alpha,\beta,\gamma \in[0,\pi]$$ and if $$\alpha,\beta,\gamma$$ are in AP, then $${{\sin \alpha - \sin \gamma } \o

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## Physics

The stopping potential (V0) versus frequency $$\nu $$ of a graph for photoelectric effect in a metal. From the graph, th

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In a resonance coloum first and second resonance are obtained at depths 24 cm and 78 cm the third resonance will be obta

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A submarine A travelling at 17 m/s is being chased along the line of its velocity by another submarine B travelling at 3

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Transverse waves of the same frequency are generated in two steel wires A and B. The diameter of A is twice that of B an

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In the diagram shown below, both the strings AB and CD are made of same material and have same cross-section. The pulley

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What will be the acceleration due to gravity at a depth d, where g is acceleration due to gravity on the surface of eart

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A direct current of 6 A is superimposed on an alternating current I = 10 sin $$\omega$$t flowing through a wire. The eff

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Which one of the following graphs represents the variation of electric potential with distance r from the centre of a no

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For an insulator, the forbidden energy gap is

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A machine gun fires 300 bullets per min if the mass of each bullet is 10 g and the velocity of the bullets is 600 ms$$-$

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Four holes of radius 5 cm are cut from a thin square plate of 20 cm and mass 1 kg. The moment of inertia of the remainin

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A particle of mass m is projected with velocity v at an angle $$\theta$$ with the horizontal. At its highest point, it e

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In the circuit shown assume the diode to be ideal. When Vi increases from $$-$$2V to 6V, the change in current is (in mA

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The de-Broglie wavelength of an electron moving with a velocity $$\frac{c}{3}$$ (c = 3 $$\times$$ 108 m/s) is equal to t

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In the circuit shown in the figure, the AC source gives a voltage V = 20 cos (2000t) neglecting source resistance, the v

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An electromagnetic wave is propagating along X-axis. At x = 1 cm and t = 18s, its electric vector |E| = 8 V/m, then the

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In the following circuit the equivalent resistance between X and Y is ......... $$\Omega$$

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A monoatomic gas of molar mass m is kept in a insulated container. Container is moving with velocity v. If the container

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A projectile is projected with the velocity of $$(3\widehat i + 4\widehat j)$$ m/s. The horizontal range of the projecti

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A transistor is connected in common-emitter (CE) configuration. The collector supply is 8V and the voltage drop across a

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A solid sphere of 80 kg and radius 15 m moving in a space becomes a circular disc of radius 20 m in 1 h. The rate of cha

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If the B - H curves of two samples of X and Y of iron are as shown below, then which one of the following statement is c

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In a radioactive material the activity at time t1, is A1 and at a later time t2, it is A2. If the decay constant of the

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A mosquito O is sitting infront of a glass rod having spherical end of radius of curvature 40 cm. The image would be for

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One mole of an ideal diatomic gas undergoes a process as shown in the figure. The molar specific heat of the gas in the

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A capillary tube is attached horizontally to a constant heat arrangement. If the radius of the capillary tube is increas

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In the arrangement shown in figure, when the switch S2 is open, the galvanometer, shows no deflection for $$l$$ = 50 cm

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In a young's double slit arrangement fringes are produced using light of wavelength 4000 $$\mathop A\limits^o $$. One sl

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An electric current I enters and leaves a uniform circular wire of radius r through diametrically opposite points. A cha

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An achromatic convergent doublet of two lenses in contact has a power of +5 D. The power of converging lens is +6 D. The

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