IISER IAT 2024 question paper

1. A.
   5'-GAGAAGCCUAGAC-3'
2. B.
   5'-GUCUAGGCUUCUC-3'
3. C.
   5'-CAGAUCCGAAGAG-3'
4. D.
   5'-CUCUUCGGAUCUG-3'

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1. A.
   X-linked dominant
2. B.
   Autosomal dominant
3. C.
   Autosomal recessive
4. D.
   X-linked recessive

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1. A.
   P - (ii); Q - (iv); R - (iii); S - (i)
2. B.
   P - (iv); Q - (iii); R - (i); S - (ii)
3. C.
   P - (ii); Q - (i); R - (iv); S - (iii)
4. D.
   P - (iii); Q - (iv); R - (i); S - (ii)

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1. A.
   Insulin
2. B.
   Myoglobin
3. C.
   Trypsin
4. D.
   Troponin

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1. A.
   Subsidiary cells from rice leaf
2. B.
   Casparian strip from rice root
3. C.
   Trichomes from maize leaf
4. D.
   Bulliform cells from grass

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1. A.
   The four products of meiosis are genetically different.
2. B.
   In most flowering plants, only one of the four products of meiosis survives in females.
3. C.
   The end products of meiosis II are haploid gametes.
4. D.
   Meiotic recombination takes place in both males and females.

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1. A.
   Graph of Y against X: rising from the origin to a peak, then falling back to the X-axis
2. B.
   Graph of Y against X: rising from the origin almost linearly, then levelling off into a flat plateau
3. C.
   Graph of Y against X: a straight line rising from the origin
4. D.
   Graph of Y against X: S-shaped curve, flat near the origin, then rising steeply, then a flat plateau

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1. A.
   P - (iv); Q - (i); R - (iii); S - (ii)
2. B.
   P - (iii); Q - (ii); R - (i); S - (v)
3. C.
   P - (ii); Q - (iii); R - (i); S - (iv)
4. D.
   P - (iii); Q - (i); R - (iv); S - (ii)

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1. A.
   Embryo and seed coat
2. B.
   Embryo
3. C.
   Embryo and endosperm
4. D.
   Endosperm

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1. A.
   Gel electrophoresis
2. B.
   RT-PCR
3. C.
   Widal test
4. D.
   ELISA

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1. A.
   Circular plasmid vector with Ori and Amp$^{R}$; BamHI site on the circle just beside Ori, EcoRI site elsewhere on the circle
2. B.
   Circular plasmid vector with Ori and Amp$^{R}$; BamHI site marked on Ori itself, EcoRI site elsewhere on the circle
3. C.
   Circular plasmid vector with Ori and Amp$^{R}$; BamHI site on the circle just beside the end of Amp$^{R}$, EcoRI site elsewhere on the circle
4. D.
   Circular plasmid vector with Ori and Amp$^{R}$; EcoRI and BamHI sites both on the circle, away from Ori and Amp$^{R}$

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1. A.
   10 million
2. B.
   0.66 billion
3. C.
   1 million
4. D.
   0.1 billion

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1. A.
   0.4
2. B.
   0.8
3. C.
   1
4. D.
   0.05

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1. A.
   Hemichordata is not considered as a chordate sub-phylum because it possesses a water vascular system.
2. B.
   Hemichordata is a sub-phylum under Chordata and possesses a proper notochord and gill slits like chordates.
3. C.
   Hemichordata is a sub-phylum under Chordata and possesses a proto-notochord called stomochord.
4. D.
   Hemichordata is not considered as a chordate sub-phylum, and possesses a proto-notochord called stomochord.

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1. A.
   Curve A represents favourable $\mathrm{O_2}$ association with haemoglobin at low $\mathrm{[H^+]}$.
2. B.
   Curve A represents favourable $\mathrm{O_2}$ association with haemoglobin at low pH.
3. C.
   Curve C represents favourable $\mathrm{O_2}$ association with haemoglobin at low $\mathrm{pCO_2}$.
4. D.
   Curve C represents favourable $\mathrm{O_2}$ association with haemoglobin at high $\mathrm{pO_2}$.

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1. A.
   Alkaline earth metals
2. B.
   Halogens
3. C.
   Noble gases
4. D.
   Alkali metals

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1. A.
   These are neither isoelectronic nor have identical bond order.
2. B.
   These are isoelectronic and have different bond orders.
3. C.
   These are isoelectronic and have identical bond order.
4. D.
   These are not isoelectronic but have identical bond order.

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1. A.
   $\mathrm{K_2[MnCl_4]}$ and $\mathrm{K_4[Mn(CN)_6]}$
2. B.
   $\mathrm{K_4[Mn(CN)_6]}$ and $\mathrm{[Ni(CO)_4]}$
3. C.
   $\mathrm{[Fe(H_2O)_6](NO_3)_2}$ and $\mathrm{K_2[MnCl_4]}$
4. D.
   Only $\mathrm{K_4[Mn(CN)_6]}$

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1. A.
   Both square planar
2. B.
   Square planar and see-saw
3. C.
   Both see-saw
4. D.
   See-saw and square planar

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1. A.
   $\mathrm{[Co(H_2O)(NH_3)_5]^{3+}}$
2. B.
   $\mathrm{[CoCl(NH_3)_5]^{2+}}$
3. C.
   $\mathrm{[Co(NH_3)_6]^{3+}}$
4. D.
   $\mathrm{[Co(CN)_6]^{3-}}$

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1. A.
   Conformational isomers
2. B.
   Structural isomers
3. C.
   Positional isomers
4. D.
   Enantiomers

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1. A.
   $\mathbf{N} > \mathbf{P} > \mathbf{Q} > \mathbf{M}$
2. B.
   $\mathbf{P} > \mathbf{Q} > \mathbf{N} > \mathbf{M}$
3. C.
   $\mathbf{N} > \mathbf{P} > \mathbf{M} > \mathbf{Q}$
4. D.
   $\mathbf{P} > \mathbf{N} > \mathbf{Q} > \mathbf{M}$

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1. A.
   $\mathbf{N} = \mathrm{2\text{-}HOC_6H_4CHO}$; $\mathbf{Q} = \mathrm{C_6H_5CHO}$
2. B.
   $\mathbf{N} = \mathbf{Q} = \mathrm{C_6H_5COOH}$
3. C.
   $\mathbf{N} = \mathbf{Q} = \mathrm{C_6H_5CHO}$
4. D.
   $\mathbf{N} = \mathrm{C_6H_5CH_2OH}$; $\mathbf{Q} = \mathrm{C_6H_5COOH}$

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1. A.
   $\mathbf{X} = \mathrm{Ph{-}C{\equiv}C{-}H}$; $\mathbf{Z} = \mathrm{CH_3CHO}$
2. B.
   $\mathbf{X} = \mathrm{Ph{-}C{\equiv}C{-}CH_3}$; $\mathbf{Z} = \mathrm{CH_3CHO}$
3. C.
   $\mathbf{X} = \mathrm{H_3C{-}C{\equiv}C{-}H}$; $\mathbf{Z} = \mathrm{PhCHO}$
4. D.
   $\mathbf{X} = \mathrm{H_3C{-}C{\equiv}C{-}CH_3}$; $\mathbf{Z} = \mathrm{PhCHO}$

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1. A.
   M is $\alpha$-D-(+)-glucofuranose and N is $\beta$-D-($-$)-fructopyranose
2. B.
   M is $\beta$-D-(+)-glucopyranose and N is $\beta$-D-($-$)-fructofuranose
3. C.
   M is $\alpha$-D-(+)-glucopyranose and N is $\alpha$-D-($-$)-fructofuranose
4. D.
   M is $\alpha$-D-(+)-glucopyranose and N is $\beta$-D-($-$)-fructofuranose

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1. A.
   non-spontaneous at all temperatures.
2. B.
   spontaneous only at very high temperatures.
3. C.
   spontaneous only at very low temperatures.
4. D.
   spontaneous at all temperatures.

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1. A.
   40 J
2. B.
   80 J
3. C.
   $2.6 \times 10^{-19}$ J
4. D.
   $1.6 \times 10^{-19}$ J

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1. A.
   Plot of $\ln[\mathrm{R}]$ against t: a straight line falling from near the top of the axis
2. B.
   Plot of [R] against t: a straight line falling from near the top of the [R] axis
3. C.
   Plot of $\log\left(\frac{[\mathrm{R}]_0}{[\mathrm{R}]}\right)$ against t: a straight line rising from the origin
4. D.
   Plot of [R] against t: a curve falling steeply from the [R] axis and levelling off towards the t axis

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1. A.
   Plot of $\Pi$ against V from (0,0): a curve falling very steeply close to the $\Pi$ axis, then flattening just above the V axis
2. B.
   Plot of $\Pi$ against V from (0,0): a curve starting on the $\Pi$ axis and falling more gradually, flattening just above the V axis
3. C.
   Plot of $\Pi$ against V from (0,0): a straight line rising, starting just above and right of the origin
4. D.
   Plot of $\Pi$ against V from (0,0): a straight line falling towards the V axis

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1. A.
   152.1 $\mathrm{S\ cm^2\ mol^{-1}}$
2. B.
   150.1 $\mathrm{S\ cm^2\ mol^{-1}}$
3. C.
   151.1 $\mathrm{S\ cm^2\ mol^{-1}}$
4. D.
   149.2 $\mathrm{S\ cm^2\ mol^{-1}}$

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1. A.
   3
2. B.
   2
3. C.
   1
4. D.
   0

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1. A.
   9
2. B.
   16
3. C.
   4
4. D.
   1

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1. A.
   $(5, 4, 5)$
2. B.
   $(4, 4, 4)$
3. C.
   $(3, 4, 4)$
4. D.
   $(3, 4, 3)$

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1. A.
   $a_1, a_2, a_3, \ldots$ is an Arithmetic Progression.
2. B.
   $a_1, a_2, a_3, \ldots$ is a Geometric Progression.
3. C.
   $a_1, 2a_2, 3a_3, \ldots$ is an Arithmetic Progression.
4. D.
   $a_1, 2a_2, 3a_3, \ldots$ is a Geometric Progression.

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1. A.
   $g$ is increasing on $(0, \pi/2)$ and decreasing on $(\pi/2, \pi)$.
2. B.
   $g$ is decreasing on $[0, \pi]$.
3. C.
   $g$ is increasing on $[0, \pi]$.
4. D.
   $g$ is decreasing on $(0, \pi/2)$ and increasing on $(\pi/2, \pi)$.

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1. A.
   $g(x) = (f(x))^3$
2. B.
   $g(x) = (f(x))^2$
3. C.
   $g(x) = |f(x)|$
4. D.
   $g(x) = \sin(f(x))$

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1. A.
   $\frac{4}{3\sqrt{3}}$
2. B.
   $\frac{1}{3}$
3. C.
   $\frac{2}{3\sqrt{3}}$
4. D.
   $\frac{4}{3}$

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1. A.
   $R$ is reflexive and symmetric, but not transitive.
2. B.
   $R$ is an equivalence relation.
3. C.
   $R$ is symmetric and transitive, but not reflexive.
4. D.
   $R$ is reflexive, but neither symmetric nor transitive.

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1. A.
   $2^{23} + 1$
2. B.
   $2^{22}$
3. C.
   $2^{23}$
4. D.
   $2^{22} - 1$

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1. A.
   $f$ is bijective.
2. B.
   $f$ is neither injective nor surjective.
3. C.
   $f$ is surjective but not injective.
4. D.
   $f$ is injective but not surjective.

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1. A.
   0
2. B.
   $e^{\pi} - 1$
3. C.
   $e^{\pi/2} - e^{-\pi/2}$
4. D.
   $\frac{\pi e^{\pi/2}}{2}$

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1. A.
   $S$ is a parabola.
2. B.
   $S$ is a hyperbola.
3. C.
   $S$ is a circle.
4. D.
   $S$ is an ellipse but not a circle.

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1. A.
   $\frac{1}{4}$
2. B.
   $\frac{1}{32}$
3. C.
   $\frac{1}{2}$
4. D.
   $\frac{3}{4}$

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1. A.
   $\frac{\pi}{6}$
2. B.
   $\frac{\pi}{2}$
3. C.
   $\frac{\pi}{4}$
4. D.
   $\frac{\pi}{3}$

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1. A.
   $\sqrt{2}$ unit
2. B.
   $3 - \sqrt{2}$ unit
3. C.
   2 unit
4. D.
   2.2 unit

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1. A.
   Abhijit travelled half the distance travelled by Vani.
2. B.
   Abhijit travelled the same distance travelled by Vani.
3. C.
   Abhijit travelled double the distance travelled by Vani.
4. D.
   Abhijit travelled $4/3$ of the distance travelled by Vani.

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1. A.
   $A \propto T$
2. B.
   $A \propto T^2$
3. C.
   $A \propto T^3$
4. D.
   $A \propto T^4$

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1. A.
   $\frac{g}{R}$
2. B.
   $\frac{g}{3R}$
3. C.
   $\frac{g}{2R}$
4. D.
   $\frac{g}{4R}$

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1. A.
   $\sqrt{5gL}$
2. B.
   $\sqrt{\frac{3}{2}gL}$
3. C.
   $\sqrt{\frac{5}{2}gL}$
4. D.
   $\sqrt{2gL}$

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1. A.
   $2\pi\sqrt{\frac{R}{g}}$
2. B.
   $2\pi\sqrt{\frac{2R}{3g}}$
3. C.
   $2\pi\sqrt{\frac{3R}{2g}}$
4. D.
   $2\pi\sqrt{\frac{2R}{g}}$

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1. A.
   $\frac{RT}{2V}$
2. B.
   $\frac{RT}{4V}$
3. C.
   $\frac{RT}{V}$
4. D.
   $\frac{2RT}{V}$

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1. A.
   $\frac{2\pi}{3\omega}$
2. B.
   $\frac{2\pi}{15\omega}$
3. C.
   $\frac{2\pi}{\omega}$
4. D.
   $\frac{2\pi}{5\omega}$

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1. A.
   $\lambda = \frac{\lambda_1\lambda_2}{\lambda_1 + \lambda_2}, \ T = \sqrt{T_1T_2}$
2. B.
   $\lambda = \frac{n_1\lambda_1 + n_2\lambda_2}{n_1 + n_2}, \ T = \frac{n_1T_1 + n_2T_2}{n_1 + n_2}$
3. C.
   $\lambda = \frac{\lambda_1\lambda_2}{\lambda_1 + \lambda_2}, \ T = \frac{n_1T_1 + n_2T_2}{n_1 + n_2}$
4. D.
   $\lambda = \frac{n_1\lambda_1 + n_2\lambda_2}{n_1 + n_2}, \ T = \sqrt{T_1T_2}$

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1. A.
   $\frac{q^2}{8\pi\epsilon_0 m\ell^2}\left(\hat{\mathbf{i}} - 3\sqrt{3}\,\hat{\mathbf{j}}\right)$
2. B.
   $\frac{q^2}{8\pi\epsilon_0 m\ell^2}\left(\hat{\mathbf{i}} - \sqrt{3}\,\hat{\mathbf{j}}\right)$
3. C.
   $\frac{q^2}{8\pi\epsilon_0 m\ell^2}\left(3\sqrt{3}\,\hat{\mathbf{i}} - \hat{\mathbf{j}}\right)$
4. D.
   $\frac{q^2}{8\pi\epsilon_0 m\ell^2}\left(3\,\hat{\mathbf{i}} - \sqrt{3}\,\hat{\mathbf{j}}\right)$

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