BITSAT 2023

## Chemistry

Which one of the following decreasing orders of stability is correct?

View Question Glucose and mannose are related as

View Question Which of the following is added to remove permanent hardness of water?

View Question $$10 \mathrm{~g}$$ each of $$\mathrm{CH}_4$$ and $$\mathrm{O}_2$$ are kept in cylinders of same volume under same temper

View Question A certain compound gives negative test with ninhydrin and positive test with Benedict's solution, it is

View Question Which of the following is cross-linked polymer?

View Question The complex showing a spin-only magnetic moment of $$2.82 \mathrm{~BM}$$ is

View Question In $$\mathrm{BrF}_3$$ molecule, the lone pairs occupy equatorial positions to minimise

View Question In electrophilic aromatic substitution reaction, the nitro group is meta-directing because it

View Question Which of the following acts as interstitial hydride?

View Question Match the following columns.
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View Question Which one of the following is/are linear structure?
I. $$\mathrm{I}_3^{-}$$
II. $$\mathrm{NO}_2^{-}$$
III. $$\mathrm{I}_

View Question The correct statement with respect to the complexes $$\mathrm{Ni}(\mathrm{CO})_4$$ and $$[\mathrm{Ni}(\mathrm{CN})_4]^{2

View Question The decreasing order of nucleophilicity among the following nucleophiles is

View Question Identify product $$(Z)$$ in the series, of reaction
$$\mathrm{CH}_2=\mathrm{CH}_2 \xrightarrow{\mathrm{HBr}} X \xrightar

View Question Sulphur does not exist as $$\mathrm{S}_2$$ molecule because

View Question A compound of '$$A$$' and '$$B$$' crystallises in a cubic lattice in which '$$A$$' atoms occupy the lattice points at th

View Question The concentration of hydrogen ion in a sample of soft drink is $$3.8 \times 10^{-3} \mathrm{M}$$. What is its $$\mathrm{

View Question Anti-Markownikoff's addition of $$\mathrm{HBr}$$ is observed in

View Question Which of the following oxides is amphoteric in character?

View Question The temperature of $$K$$ at which $$\Delta G=0$$, for a given reaction with $$\Delta H=-20.5 \mathrm{~kJ} \mathrm{~mol}^

View Question A mixture of two moles of carbon monoxide and one mole of oxygen, in a closed vessel is ignited to convert the carbon mo

View Question Which of the following statements does not form a part of Bohr's model of hydrogen atom?

View Question The equilibrium constant of the reaction
$$A(s)+2 B^{+}(a q) \rightleftharpoons A^{2+}(a q)+2 B(s)$$
$$E_{\text {cell }}

View Question The value of enthalpy change $$(\Delta H)$$ for the reaction $$\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}(l)+3 \mathrm{O}_2(\

View Question The volume-temperature graphs of a given mass of an ideal gas at constant pressures are shown below. What is the correct

View Question In acetylene molecule between the carbon atoms there are

View Question If the ionic product of $$\mathrm{Ni}(\mathrm{OH})_2$$ is $$1.9 \times 10^{-15}$$, then the molar solubility of $$\mathr

View Question If two compounds have the same empirical formula but different molecular formulae, they must have

View Question If $$20 \mathrm{~g}$$ of $$\mathrm{CaCO}_3$$ is treated with $$100 \mathrm{~mL}$$ of $$20 \%$$ $$\mathrm{HCl}$$ solution

View Question ## English Proficiency

The discovery of treasure under the Bermuda Triangle is probably a $$\underline {hoax} $$.

View Question He gave a large amount of donation for flood victims and everyone appreciated his $$\underline{magnanimous}$$ act.

View Question Select the one which best expresses the same sentence in Passive/Active voice.
Did everybody miss the first bus?

View Question Wither

View Question Culmination

View Question Critical explanation or interpretation of a text, especially of scripture

View Question Destruction or slaughter on a mass scale.

View Question Select the sentence that means same as the given sentence. Sohan was too weak to play.

View Question A. Most of these superpowers are not rich in natural resources and have faced political turmoil.
B. Human capital ultima

View Question A. There are other who claim that they have never been so well connected.
B. However, such social networking sites help

View Question ## Logical Reasoning

Four options have been given, out of which three are alike in some manner and one is different. Select the option that i

View Question Which number will replace the question mark (?) in the given series?
$$61,73,99,141,201, ?$$

View Question Select the figure that will replace the question mark (?) in the following figure series.

View Question Flourine is related to Halogen in the same way as Helium is related to _________.

View Question Select the number that is related to the third number in the same way as the second number is related to the first numbe

View Question Select the word-pair in which the two words are related in the same way as are the two words in the following word-pair.

View Question Select the option in which the numbers are related in the same way as are the numbers of the following set.
$$29: 36: 39

View Question 'A # B' means 'A is the husband of B'.
'A @ B' means 'A is the daughter of B'.
'A & B' means 'A is the sister of B'.
If

View Question Select the option that is not embedded in the given figure as its part (rotation is not allowed).

View Question Which letter-cluster will replace the question mark (?) in the given series?
KLIMC, JJFIX, IHCES, HFZAN, ?

View Question Among five persons P, Q, R, S and T, T is older than $$\mathrm{P}, \mathrm{Q}$$ is younger than $$\mathrm{T}, \mathrm{S}

View Question Two different positions of the same dice are shown below. Select the number that will be at the top if ' 6 ' is at the b

View Question How many triangles are there in the following figure?

View Question Statement In a one day cricket match, the total runs made by a team were 200. Out of these, 160 runs were made by spinne

View Question Statement The old order changed yielding place to new
Conclusions
I. Change is the law of nature.
II. Discard old ideas

View Question ₹ 5110 is to be divided among Rajesh, Vivek and Kripal in such a way that Rajesh gets double the amount that Vivek gets

View Question A paper is folded and cut as shown below. How will it appear when unfolded?

View Question Six friends, A, B, C, D, E and F are sitting around a circular table facing the centre of the table. A is to the immedia

View Question In a code language, if 'FORTUNE' is written as '716192122156', then how will 'OCTOBER' be written in the same language?

View Question Select the correct mirror image of the given combination when the mirror is placed at $$\mathrm{MN}$$ as shown below.

View Question ## Mathematics

If $$\alpha

View Question If $$A=\{x: x$$ is a multiple of 8$$\}$$ and $$B=\{x: x$$ is a multiple of 12$$\}$$, then $$A \cap B$$ consists of multi

View Question Number of solutions of the equation $$z^2+|z|^2=0$$ and $$z \neq 0$$ is

View Question The value of $$\lim _\limits{x \rightarrow 0} \frac{8}{x^8}\left(1-\cos \frac{x^2}{2}-\cos \frac{x^2}{4}+\cos \frac{x^2}

View Question Let $$\frac{1}{16}, a$$ and $$b$$ be in GP and $$\frac{1}{a}, \frac{1}{b}, 6$$ be in AP, where $$a, b>0$$. Then, $$72(a+

View Question The sum of the coefficients of all odd degree terms in the expansion of $$\left(x+\sqrt{x^3-1}\right)^5 +\left(x-\sqrt{x

View Question The number of different 6-digit numbers in which only and all the five digits $$1,3,5,7$$ and 9 appear is

View Question If the system of linear equation $$3 x-2 y+z=2, 4 x-3 y+3 z=-5$$ and $$7 x-5 y+\lambda z=9$$ has no solution, then $$\la

View Question Let $$A=\left[\begin{array}{lll}3 & 2 & 3 \\ 4 & 1 & 0 \\ 2 & 5 & 1\end{array}\right]$$ and $$49 B=\left[\begin{array}{c

View Question If $$\cot ^{-1} \sqrt{\cos \alpha}-\tan ^{-1} \sqrt{\cos \alpha}=x$$, then $$\sin x$$ is equal to

View Question A cylindrical tank of radius $$10 \mathrm{~m}$$ is being filled with wheat at the rate of $$200 \pi$$ cubic metre per ho

View Question If $$\left(1+x^2\right) d y+2 x y d x=\cot x d x$$, then the general solution be

View Question If the straight line $$y=m x+c$$, touches the circle $$x^2+y^2=a^2$$ at a point, then $$c^2$$ is

View Question A normal is drawn at the point $$P$$ to the circle $$x^2+y^2=25$$, which is inclined at $$45^{\circ}$$ with the straight

View Question The value of integral $$\int \frac{d x}{(1+x)^{3 / 4}(x-2)^{5 / 4}}$$ is is equal to

View Question The area of the region bounded by the parabola $$y=x^2+1$$ and lines $$y=x+1, y=0, x=\frac{1}{2}$$ and $$x=2$$ is

View Question Let $$\mathbf{a}=2 \mathbf{i}+\mathbf{j}+\mathbf{k}, \mathbf{b}=\mathbf{i}+2 \mathbf{j}-\mathbf{k}$$ and $$a$$ unit vect

View Question A six faced die is a biased once. It is thrice more likely to show an odd number, then show an even number. It is thrown

View Question If $$n$$ is the number of solutions of the equation $$2 \cos x\left(4 \sin \left(\frac{\pi}{4}+x\right) \sin \left(\frac

View Question The upper $$(\frac{3}{4})$$ th portion of a vertical pole subtends an angel $$\tan ^{-1}\left(\frac{3}{5}\right)$$ at a

View Question If $$y=m_1 x+c_1$$ and $$y=m_2 x+c_2, m_1 \neq m_2$$ are two common tangents of circle $$x^2+y^2=2$$ and parabola $$y^2=

View Question The number of words (with or without meaning) that can be formed from all the letters of the word "LETTER" in which vowe

View Question If $$a_1, a_2, \ldots, a_n$$ are in HP, then the expression $$a_1 a_2+a_2 a_3+\ldots+a_{n-1} a_n$$ is equal to

View Question The equation of the line passing through $$(-4,3,1)$$ parallel to the plane $$x+2 y-z-5=0$$ and intersecting the line $$

View Question Let $$\alpha, \beta$$ be the roots of the equation $$x^2-p x+r=0$$ and $$\frac{\alpha}{2}, 2 \beta$$ be the roots of the

View Question $$
\text { If } A=\left[\begin{array}{cc}
\sin \theta & -\cos \theta \\
\cos \theta & \sin \theta
\end{array}\right] \te

View Question $$
\text { The value of } \lim _\limits{x \rightarrow 0} \frac{(27+x)^{1 / 3}-3}{9-(27+x)^{2 / 3}} \text { equals to }
$

View Question If a tangent to the circle $$x^2+y^2=1$$ intersect the co-ordinate axes at distinct points $$P$$ and $$Q$$, then the loc

View Question Let $$f(x)=\int \frac{\sqrt{x}}{(1+x)^2} d x$$, where $$x \geq 0$$. Then, $$f(3)-f(1)$$ is equal to

View Question The mean and variance of the data $$4,5,6,6,7,8, x, y$$, where $$x

View Question Given, a sequence of 4 numbers, first three of which are in GP and the last three are in AP with common difference 6. If

View Question If $$a, b, c$$ are non-zero real numbers and if the system of equations $$(a-1) x-y-z=0, -x+(b-1) y-z=0,-x-y+(c-1) z=0$$

View Question If $$f(x)=x^2-2 x+1$$ and $$f \circ g(x)=x^2+2 x+1$$, then $$g(x)$$ is equal to

View Question If $$z_1$$ and $$z_2$$ be nth root of unity which subtend a right angled at the origin. Then, $$n$$ must be of the form

View Question A tower $$T_1$$ of the height $$60 \mathrm{~m}$$ is located exactly opposite to a tower $$T_2$$ of height $$80 \mathrm{~

View Question Water is being filled at the rate of $$1 \mathrm{~cm}^3 / \mathrm{s}$$ in a right circular conical vessel (vertex downwa

View Question Let $$\frac{\sin A}{\sin B}=\frac{\sin (A-C)}{\sin (C-B)}$$, where $$A, B$$ and $$C$$ are angles of a $$\triangle A B C$

View Question $$\sum_\limits{\substack{i, j=0 \\ i \neq j}}^n{ }^n C_i{ }^n C_j$$ is equal to

View Question Let the functions $$f: R \rightarrow R$$ and $$g: R \rightarrow R$$ be defined by $$f(x)=e^{x-1}-e^{-|x-1|}$$ and $$g(x)

View Question If $$A, B, C \in[0, \pi]$$ and if $$A, B, C$$ are in $$\mathrm{AP}$$, then $$\frac{\sin A+\sin C}{\cos A+\cos C}$$ is eq

View Question ## Physics

For a constant hydraulic stress on an object, the fractional change in the object's volume $$(\Delta V / V)$$ and its bu

View Question When 0.25$$\mathop A\limits^o $$ X-Rays strike a material, the photoelectrons from the $$K$$ shell are observed to more

View Question A common emitter amplifier has a voltage gain of 50 an input impedance of 100 $$\Omega$$ and an output impedance of 400

View Question In an electron gun the potential difference between the filament and plate is $$4000 \mathrm{~V}$$. What will be the vel

View Question A man of mass $m$ starts falling towards a planet of mass $$M$$ and radius $$R$$. As he reaches near to the surface, he

View Question A vessel containing 1 mole of $$\mathrm{O}_2$$ gas (molar mass 32) at temperature $$T$$. The pressure of the gas is $$p$

View Question The fundamental frequency of an open organ pipe is $$600 \mathrm{~Hz}$$. The first overtone of this pipe has same freque

View Question A Carnot's heat engine works between the temperature $$527^{\circ} \mathrm{C}$$ and $$127^{\circ} \mathrm{C}$$. What amo

View Question The total energy of an electron in the second excited state of hydrogen atom is about $$-1.51 \mathrm{~eV}$$. Its kineti

View Question The masses of block $$A$$ and $$B$$ are $$m$$ and $$M$$, respectively. Between $$A$$ and $$B$$, there is a constant fric

View Question Magnetic moment of bar magnet is $$2 M$$. The work done to turn the magnet by $$90^{\circ}$$ of magnet in direction of m

View Question The wavelength of two waves are 40 and $$42 \mathrm{~cm}$$ respectively. If the temperature of the room is $$20^{\circ}

View Question A resistance $$R$$ and inductance $$L$$ and a capacitor $$C$$ all are connected in series with an $$\mathrm{AC}$$ supply

View Question Truth table for system of four NAND gate and one NOT gate as shown in figure is.

View Question A boat crosses a river from part $$A$$ to part $$B$$, which are just on the opposite side. The speed of the water. $$v_\

View Question Two rings of radius $$R$$ and $$n R$$ made of same material have the ratio of moment of inertia about an axis passing th

View Question When a string is divided into four segments of $$l_1, l_2, l_3$$ and $$l_4$$. The fundamental frequencies of these three

View Question A charged particle moving in a uniform magnetic field and losses $$16 \%$$ of its kinetic energy. The radius of curvatur

View Question A thin but rigid semicircular wire frame of radius $$r$$ is hinged at $$O$$ and can rotate in its own vertical plane. A

View Question After two hours one-eight of the starting amount of a certain radioactive isotope remained undecayed. The half-life of t

View Question A thin plano-convex lens of focal length $$f$$ is split into two halves one of the halves is shifted along the optical a

View Question The potential energy for a force field $$\mathbf{F}$$ is given by $$u(x, y)=\cos (x+y)$$. The force acting on a particle

View Question A direct current of $$10 \mathrm{~A}$$ is superimposed on an alternating current $$i=10 \sin \omega t$$ flowing through

View Question The $$x$$-$$t$$ graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the pa

View Question A vessel is half filled with a liquid of refractive index $$\mu$$. The other half of the vessel is filled with an immisc

View Question Water is flowing on a horizontal fixed surface such that its flow velocity varies with $$y$$ (vertical direction) as $$v

View Question The power dissipated in the circuit shown in the figure $$40 \mathrm{~W}$$. The value of $$R$$ is.

View Question In a YDSE, the light of wavelength $$\lambda=5000\mathop A\limits^o $$ is used, which emerges in phase from two slits at

View Question The electric and the magnetic field associated with an E.M. wave, propagating along the $$\mathrm{Z}$$-axis can be repre

View Question An electron of mass $$m$$ and charge $$e$$ initially at rest gets accelerated by a constant field $$2 E$$. The rate of c

View Question