BITSAT 2023
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Chemistry

Which one of the following decreasing orders of stability is correct?
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Glucose and mannose are related as
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Which of the following is added to remove permanent hardness of water?
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$$10 \mathrm{~g}$$ each of $$\mathrm{CH}_4$$ and $$\mathrm{O}_2$$ are kept in cylinders of same volume under same temper
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A certain compound gives negative test with ninhydrin and positive test with Benedict's solution, it is
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Which of the following is cross-linked polymer?
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The complex showing a spin-only magnetic moment of $$2.82 \mathrm{~BM}$$ is
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In $$\mathrm{BrF}_3$$ molecule, the lone pairs occupy equatorial positions to minimise
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In electrophilic aromatic substitution reaction, the nitro group is meta-directing because it
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Which of the following acts as interstitial hydride?
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Match the following columns. .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:s
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Which one of the following is/are linear structure? I. $$\mathrm{I}_3^{-}$$ II. $$\mathrm{NO}_2^{-}$$ III. $$\mathrm{I}_
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The correct statement with respect to the complexes $$\mathrm{Ni}(\mathrm{CO})_4$$ and $$[\mathrm{Ni}(\mathrm{CN})_4]^{2
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The decreasing order of nucleophilicity among the following nucleophiles is
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Identify product $$(Z)$$ in the series, of reaction $$\mathrm{CH}_2=\mathrm{CH}_2 \xrightarrow{\mathrm{HBr}} X \xrightar
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Sulphur does not exist as $$\mathrm{S}_2$$ molecule because
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A compound of '$$A$$' and '$$B$$' crystallises in a cubic lattice in which '$$A$$' atoms occupy the lattice points at th
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The concentration of hydrogen ion in a sample of soft drink is $$3.8 \times 10^{-3} \mathrm{M}$$. What is its $$\mathrm{
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Anti-Markownikoff's addition of $$\mathrm{HBr}$$ is observed in
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Which of the following oxides is amphoteric in character?
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The temperature of $$K$$ at which $$\Delta G=0$$, for a given reaction with $$\Delta H=-20.5 \mathrm{~kJ} \mathrm{~mol}^
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A mixture of two moles of carbon monoxide and one mole of oxygen, in a closed vessel is ignited to convert the carbon mo
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Which of the following statements does not form a part of Bohr's model of hydrogen atom?
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The equilibrium constant of the reaction $$A(s)+2 B^{+}(a q) \rightleftharpoons A^{2+}(a q)+2 B(s)$$ $$E_{\text {cell }}
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The value of enthalpy change $$(\Delta H)$$ for the reaction $$\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}(l)+3 \mathrm{O}_2(\
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The volume-temperature graphs of a given mass of an ideal gas at constant pressures are shown below. What is the correct
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In acetylene molecule between the carbon atoms there are
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If the ionic product of $$\mathrm{Ni}(\mathrm{OH})_2$$ is $$1.9 \times 10^{-15}$$, then the molar solubility of $$\mathr
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If two compounds have the same empirical formula but different molecular formulae, they must have
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If $$20 \mathrm{~g}$$ of $$\mathrm{CaCO}_3$$ is treated with $$100 \mathrm{~mL}$$ of $$20 \%$$ $$\mathrm{HCl}$$ solution
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English Proficiency

The discovery of treasure under the Bermuda Triangle is probably a $$\underline {hoax} $$.
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He gave a large amount of donation for flood victims and everyone appreciated his $$\underline{magnanimous}$$ act.
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Select the one which best expresses the same sentence in Passive/Active voice. Did everybody miss the first bus?
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Culmination
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Critical explanation or interpretation of a text, especially of scripture
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Destruction or slaughter on a mass scale.
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Select the sentence that means same as the given sentence. Sohan was too weak to play.
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A. Most of these superpowers are not rich in natural resources and have faced political turmoil. B. Human capital ultima
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A. There are other who claim that they have never been so well connected. B. However, such social networking sites help
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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
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Which number will replace the question mark (?) in the given series? $$61,73,99,141,201, ?$$
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Select the figure that will replace the question mark (?) in the following figure series.
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Flourine is related to Halogen in the same way as Helium is related to _________.
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Select the number that is related to the third number in the same way as the second number is related to the first numbe
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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.
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Select the option in which the numbers are related in the same way as are the numbers of the following set. $$29: 36: 39
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'A # B' means 'A is the husband of B'. 'A @ B' means 'A is the daughter of B'. 'A & B' means 'A is the sister of B'. If
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Select the option that is not embedded in the given figure as its part (rotation is not allowed).
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Which letter-cluster will replace the question mark (?) in the given series? KLIMC, JJFIX, IHCES, HFZAN, ?
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Among five persons P, Q, R, S and T, T is older than $$\mathrm{P}, \mathrm{Q}$$ is younger than $$\mathrm{T}, \mathrm{S}
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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
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How many triangles are there in the following figure?
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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
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Statement The old order changed yielding place to new Conclusions I. Change is the law of nature. II. Discard old ideas
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₹ 5110 is to be divided among Rajesh, Vivek and Kripal in such a way that Rajesh gets double the amount that Vivek gets
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A paper is folded and cut as shown below. How will it appear when unfolded?
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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
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In a code language, if 'FORTUNE' is written as '716192122156', then how will 'OCTOBER' be written in the same language?
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Select the correct mirror image of the given combination when the mirror is placed at $$\mathrm{MN}$$ as shown below.
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Mathematics

If $$\alpha
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If $$A=\{x: x$$ is a multiple of 8$$\}$$ and $$B=\{x: x$$ is a multiple of 12$$\}$$, then $$A \cap B$$ consists of multi
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Number of solutions of the equation $$z^2+|z|^2=0$$ and $$z \neq 0$$ is
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The value of $$\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}
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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, $$72(a+
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The sum of the coefficients of all odd degree terms in the expansion of $$\left(x+\sqrt{x^3-1}\right)^5 +\left(x-\sqrt{x
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The number of different 6-digit numbers in which only and all the five digits $$1,3,5,7$$ and 9 appear is
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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 $$\la
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Let $$A=\left[\begin{array}{lll}3 & 2 & 3 \\ 4 & 1 & 0 \\ 2 & 5 & 1\end{array}\right]$$ and $$49 B=\left[\begin{array}{c
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If $$\cot ^{-1} \sqrt{\cos \alpha}-\tan ^{-1} \sqrt{\cos \alpha}=x$$, then $$\sin x$$ is equal to
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A cylindrical tank of radius $$10 \mathrm{~m}$$ is being filled with wheat at the rate of $$200 \pi$$ cubic metre per ho
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If $$\left(1+x^2\right) d y+2 x y d x=\cot x d x$$, then the general solution be
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If the straight line $$y=m x+c$$, touches the circle $$x^2+y^2=a^2$$ at a point, then $$c^2$$ is
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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
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The value of integral $$\int \frac{d x}{(1+x)^{3 / 4}(x-2)^{5 / 4}}$$ is is equal to
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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
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Let $$\mathbf{a}=2 \mathbf{i}+\mathbf{j}+\mathbf{k}, \mathbf{b}=\mathbf{i}+2 \mathbf{j}-\mathbf{k}$$ and $$a$$ unit vect
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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
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If $$n$$ is the number of solutions of the equation $$2 \cos x\left(4 \sin \left(\frac{\pi}{4}+x\right) \sin \left(\frac
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The upper $$(\frac{3}{4})$$ th portion of a vertical pole subtends an angel $$\tan ^{-1}\left(\frac{3}{5}\right)$$ at a
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If $$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=
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The number of words (with or without meaning) that can be formed from all the letters of the word "LETTER" in which vowe
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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
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The equation of the line passing through $$(-4,3,1)$$ parallel to the plane $$x+2 y-z-5=0$$ and intersecting the line $$
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Let $$\alpha, \beta$$ be the roots of the equation $$x^2-p x+r=0$$ and $$\frac{\alpha}{2}, 2 \beta$$ be the roots of the
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$$ \text { If } A=\left[\begin{array}{cc} \sin \theta & -\cos \theta \\ \cos \theta & \sin \theta \end{array}\right] \te
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$$ \text { The value of } \lim _\limits{x \rightarrow 0} \frac{(27+x)^{1 / 3}-3}{9-(27+x)^{2 / 3}} \text { equals to } $
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If a tangent to the circle $$x^2+y^2=1$$ intersect the co-ordinate axes at distinct points $$P$$ and $$Q$$, then the loc
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Let $$f(x)=\int \frac{\sqrt{x}}{(1+x)^2} d x$$, where $$x \geq 0$$. Then, $$f(3)-f(1)$$ is equal to
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The mean and variance of the data $$4,5,6,6,7,8, x, y$$, where $$x
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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
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If $$a, b, c$$ are non-zero real numbers and if the system of equations $$(a-1) x-y-z=0, -x+(b-1) y-z=0,-x-y+(c-1) z=0$$
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If $$f(x)=x^2-2 x+1$$ and $$f \circ g(x)=x^2+2 x+1$$, then $$g(x)$$ is equal to
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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
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A tower $$T_1$$ of the height $$60 \mathrm{~m}$$ is located exactly opposite to a tower $$T_2$$ of height $$80 \mathrm{~
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Water is being filled at the rate of $$1 \mathrm{~cm}^3 / \mathrm{s}$$ in a right circular conical vessel (vertex downwa
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Let $$\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$
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$$\sum_\limits{\substack{i, j=0 \\ i \neq j}}^n{ }^n C_i{ }^n C_j$$ is equal to
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Let the functions $$f: R \rightarrow R$$ and $$g: R \rightarrow R$$ be defined by $$f(x)=e^{x-1}-e^{-|x-1|}$$ and $$g(x)
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If $$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
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Physics

For a constant hydraulic stress on an object, the fractional change in the object's volume $$(\Delta V / V)$$ and its bu
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When 0.25$$\mathop A\limits^o $$ X-Rays strike a material, the photoelectrons from the $$K$$ shell are observed to more
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A common emitter amplifier has a voltage gain of 50 an input impedance of 100 $$\Omega$$ and an output impedance of 400
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In an electron gun the potential difference between the filament and plate is $$4000 \mathrm{~V}$$. What will be the vel
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A man of mass $m$ starts falling towards a planet of mass $$M$$ and radius $$R$$. As he reaches near to the surface, he
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A vessel containing 1 mole of $$\mathrm{O}_2$$ gas (molar mass 32) at temperature $$T$$. The pressure of the gas is $$p$
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The fundamental frequency of an open organ pipe is $$600 \mathrm{~Hz}$$. The first overtone of this pipe has same freque
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A Carnot's heat engine works between the temperature $$527^{\circ} \mathrm{C}$$ and $$127^{\circ} \mathrm{C}$$. What amo
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The total energy of an electron in the second excited state of hydrogen atom is about $$-1.51 \mathrm{~eV}$$. Its kineti
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The masses of block $$A$$ and $$B$$ are $$m$$ and $$M$$, respectively. Between $$A$$ and $$B$$, there is a constant fric
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Magnetic moment of bar magnet is $$2 M$$. The work done to turn the magnet by $$90^{\circ}$$ of magnet in direction of m
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The wavelength of two waves are 40 and $$42 \mathrm{~cm}$$ respectively. If the temperature of the room is $$20^{\circ}
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A resistance $$R$$ and inductance $$L$$ and a capacitor $$C$$ all are connected in series with an $$\mathrm{AC}$$ supply
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Truth table for system of four NAND gate and one NOT gate as shown in figure is.
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A boat crosses a river from part $$A$$ to part $$B$$, which are just on the opposite side. The speed of the water. $$v_\
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Two rings of radius $$R$$ and $$n R$$ made of same material have the ratio of moment of inertia about an axis passing th
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When a string is divided into four segments of $$l_1, l_2, l_3$$ and $$l_4$$. The fundamental frequencies of these three
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A charged particle moving in a uniform magnetic field and losses $$16 \%$$ of its kinetic energy. The radius of curvatur
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A thin but rigid semicircular wire frame of radius $$r$$ is hinged at $$O$$ and can rotate in its own vertical plane. A
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After two hours one-eight of the starting amount of a certain radioactive isotope remained undecayed. The half-life of t
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A thin plano-convex lens of focal length $$f$$ is split into two halves one of the halves is shifted along the optical a
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The potential energy for a force field $$\mathbf{F}$$ is given by $$u(x, y)=\cos (x+y)$$. The force acting on a particle
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A direct current of $$10 \mathrm{~A}$$ is superimposed on an alternating current $$i=10 \sin \omega t$$ flowing through
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The $$x$$-$$t$$ graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the pa
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A vessel is half filled with a liquid of refractive index $$\mu$$. The other half of the vessel is filled with an immisc
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Water is flowing on a horizontal fixed surface such that its flow velocity varies with $$y$$ (vertical direction) as $$v
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The power dissipated in the circuit shown in the figure $$40 \mathrm{~W}$$. The value of $$R$$ is.
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In a YDSE, the light of wavelength $$\lambda=5000\mathop A\limits^o $$ is used, which emerges in phase from two slits at
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The electric and the magnetic field associated with an E.M. wave, propagating along the $$\mathrm{Z}$$-axis can be repre
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An electron of mass $$m$$ and charge $$e$$ initially at rest gets accelerated by a constant field $$2 E$$. The rate of c
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