IISER IAT 2018 question paper

1. A.
   These are secondary metabolites produced by plants in response to an infection.
2. B.
   These are molecules generated during secondary steps of hormone signaling.
3. C.
   These are signaling molecules generated during secondary infections in animals.
4. D.
   These are proteins which help digest the secondary metabolites from plants.

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1. A.
   increased dietary uptake of water and fluids.
2. B.
   total volume of the blood flowing per minute through the Bowman's capsule.
3. C.
   increased Renin production from Juxta glomerular cells.
4. D.
   increased supply of nutrients to the blood in afferent arteriole.

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1. A.
   All females will have white eyes and all males will have red eyes.
2. B.
   All females will have red eyes and all males will have white eyes.
3. C.
   Half of the males will have red and the other half will have white eyes.
4. D.
   Half of the females will have red and the other half will have white eyes.

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1. A.
   a-1, b-2, c-4, d-3
2. B.
   a-2, b-3, c-1, d-4
3. C.
   a-3, b-1, c-4, d-3
4. D.
   a-4, b-1, c-2, d-3

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1. A.
   500 bp $<$ 300 bp $<$ 100 bp
2. B.
   100 bp $<$ 300 bp $<$ 500 bp
3. C.
   100 bp $>$ 300 bp $>$ 500 bp
4. D.
   500 bp $>$ 300 bp $>$ 100 bp

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1. A.
   Two cycles of DNA replication but one cycle each of cell division and nuclear division.
2. B.
   Two cycles each of DNA replication, cell division and nuclear division.
3. C.
   One cycle each of DNA replication, cell division and nuclear division.
4. D.
   One cycle of DNA replication but two cycles each of cell division and nuclear division.

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1. A.
   Cnidaria
2. B.
   Echinodermata
3. C.
   Annelida
4. D.
   Porifera

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1. A.
   $2.4 \times 10^{1}$
2. B.
   $2.4 \times 10^{3}$
3. C.
   $2.4 \times 10^{2}$
4. D.
   $2.4 \times 10^{4}$

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1. A.
   Number of sparrows will increase.
2. B.
   Herbivore numbers will increase.
3. C.
   Nutrient recycling will be hampered.
4. D.
   Soil pollution will decrease.

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1. A.
   Recombinants can be selected by plating on ampicillin containing medium.
2. B.
   Recombinants can be selected by plating on tetracycline containing medium.
3. C.
   Recombinants cannot be selected by plating either on ampicillin or tetracycline containing medium.
4. D.
   Recombinants can be selected by plating simultaneously on ampicillin and tetracycline containing medium.

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1. A.
   These are areas in the cerebral cortex with both sensory and motor neuron functions.
2. B.
   These are areas in the adrenal medulla secreting both epinephrin and norepinephrin hormones.
3. C.
   These are areas in the hepatic cortex having localised bile ducts and blood capillaries.
4. D.
   These are areas in the renal cortex with intertwined Henle's loop and vasa recta.

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1. A.
   a-2, b-3, c-4, d-1
2. B.
   a-2, b-1, c-4, d-3
3. C.
   a-1, b-3, c-4, d-2
4. D.
   a-3, b-4, c-1, d-2

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1. A.
   IgD
2. B.
   IgG
3. C.
   IgE
4. D.
   IgA

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1. A.
   Streptokinase
2. B.
   Statins
3. C.
   Penicillin
4. D.
   Cyclosporin A

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1. A.
   Curve C represents blood present in right ventricle.
2. B.
   Curve C represents blood present in left ventricle.
3. C.
   Curve B represents blood present in pulmonary vein.
4. D.
   Curve B represents blood present in left ventricle.

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1. A.
   One-third to that of manganese metal.
2. B.
   Same as that of manganese metal.
3. C.
   Higher than that of manganese metal.
4. D.
   One-fourth to that of manganese metal.

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1. A.
   $\mu$ value for cis-$\mathrm{F_2N_2}$ $>$ $\mu$ value for trans-$\mathrm{F_2N_2}$
2. B.
   both cis-$\mathrm{F_2N_2}$ and trans-$\mathrm{F_2N_2}$ will have equal nonzero $\mu$
3. C.
   $\mu$ value for trans-$\mathrm{F_2N_2}$ $>$ $\mu$ value for cis-$\mathrm{F_2N_2}$
4. D.
   both cis-$\mathrm{F_2N_2}$ and trans-$\mathrm{F_2N_2}$ will have zero $\mu$

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1. A.
   Permanganate is purple and paramagnetic
2. B.
   Permanganate is green and diamagnetic
3. C.
   Manganate is green and paramagnetic
4. D.
   Manganate is purple and paramagnetic

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1. A.
   Tb
2. B.
   Dy
3. C.
   Er
4. D.
   Eu

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1. A.
   $\mathrm{PH_3 > SbH_3 > BiH_3 > AsH_3}$
2. B.
   $\mathrm{PH_3 > AsH_3 > SbH_3 > BiH_3}$
3. C.
   $\mathrm{BiH_3 > SbH_3 > AsH_3 > PH_3}$
4. D.
   $\mathrm{BiH_3 > AsH_3 > SbH_3 > PH_3}$

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1. A.
   X = 4-methyl-2-nitroaniline and Z = N-(4-methyl-3-nitrophenyl)acetamide
2. B.
   X = 4-methyl-3-nitroaniline and Z = N-(4-methyl-3-nitrophenyl)acetamide
3. C.
   X = 4-methyl-2-nitroaniline and Z = N-(4-methyl-2-nitrophenyl)acetamide
4. D.
   X = 4-methyl-3-nitroaniline and Z = N-(4-methyl-2-nitrophenyl)acetamide

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1. A.
   (iv) $>$ (iii) $>$ (ii) $>$ (i)
2. B.
   (ii) $>$ (i) $>$ (iv) $>$ (iii)
3. C.
   (i) $>$ (ii) $>$ (iv) $>$ (iii)
4. D.
   (iii) $>$ (ii) $>$ (i) $>$ (iv)

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1. A.
   $2^\circ$ carbocation and $1^\circ$ radical
2. B.
   $1^\circ$ carbocation and $1^\circ$ radical
3. C.
   $1^\circ$ carbocation and $2^\circ$ radical
4. D.
   $2^\circ$ carbocation and $2^\circ$ radical

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1. A.
   structural isomers
2. B.
   geometrical isomers
3. C.
   optical isomers
4. D.
   identical products

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1. A.
   (iv) $<$ (ii) $<$ (iii) $<$ (i)
2. B.
   (i) $<$ (iii) $<$ (ii) $<$ (iv)
3. C.
   (iii) $<$ (iv) $<$ (ii) $<$ (i)
4. D.
   (ii) $<$ (iv) $<$ (iii) $<$ (i)

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1. A.
   $1.5 \times 10^{16}$ Hz
2. B.
   $1.2 \times 10^{16}$ Hz
3. C.
   $2.0 \times 10^{16}$ Hz
4. D.
   $1.0 \times 10^{16}$ Hz

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1. A.
   $\mathrm{H^+ + OH^- \rightarrow H_2O}$
2. B.
   $\mathrm{NaCl \rightarrow Na^+ + Cl^-}$
3. C.
   $\mathrm{Na^+ + Cl^- \rightarrow NaCl}$
4. D.
   $\mathrm{NaOH \rightarrow Na^+ + OH^-}$

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1. A.
   0.339 V
2. B.
   0.870 V
3. C.
   0.398 V
4. D.
   0.290 V

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1. A.
   $\mathrm{XYZ_2}$
2. B.
   $\mathrm{X_2YZ_3}$
3. C.
   $\mathrm{X_8YZ_6}$
4. D.
   $\mathrm{XYZ_3}$

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1. A.
   563 and 469
2. B.
   513 and 494
3. C.
   500 and 1250
4. D.
   500 and 500

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1. A.
   Straight line.
2. B.
   Hyperbola.
3. C.
   Circle.
4. D.
   Parabola.

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1. A.
   $f \circ (g + h) = (f \circ g) + (f \circ h)$.
2. B.
   $f \circ (g \circ h) = (f \circ g) \circ h$.
3. C.
   $(f.g) \circ h = (f \circ h).(g \circ h)$.
4. D.
   $(f \circ g)^{-1} = g^{-1} \circ f^{-1}$.

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1. A.
   10.
2. B.
   6.
3. C.
   8.
4. D.
   1.

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

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1. A.
   $2\hat{i} + 3\hat{j} + \mu(\hat{i} - \hat{j})$.
2. B.
   $3\hat{i} - 2\hat{j} + \hat{k} + \mu(-\hat{i} + \hat{j})$.
3. C.
   $\hat{i} + 3\hat{j} + 5\hat{k} + \mu(2\hat{i} + 3\hat{j} + 4\hat{k})$.
4. D.
   $-\hat{i} - 2\hat{j} - 3\hat{k} + \mu(-\hat{i} - \hat{j} - \hat{k})$.

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1. A.
   12.
2. B.
   11.
3. C.
   14.
4. D.
   13.

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1. A.
   $P(n)$ is true for exactly two values of $n$.
2. B.
   $P(n)$ is false for at most finitely many values of $n$.
3. C.
   $P(n)$ is false for infinitely many values of $n$.
4. D.
   $P(n)$ is true for all $n$.

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1. A.
   passes through the point $(2, 3 + \log_e 4)$.
2. B.
   passes through the point $(2, \log_e 4)$.
3. C.
   passes through the point $(2, 3 - \log_e 4)$.
4. D.
   does not pass through the point $(2, -\log_e 4)$.

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

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1. A.
   $(-1, \infty)$.
2. B.
   $(-2, b)$.
3. C.
   $(-2, 2)$.
4. D.
   $(-\infty, c)$.

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1. A.
   $\frac{3987}{10000}$.
2. B.
   $\frac{2601}{10000}$.
3. C.
   $\frac{3439}{10000}$.
4. D.
   $\frac{3095}{10000}$.

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1. A.
   0.
2. B.
   1.
3. C.
   Infinitely many.
4. D.
   More than one but finitely many.

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1. A.
   $\frac{199}{2}$.
2. B.
   $\frac{99}{2}$.
3. C.
   199.
4. D.
   99.

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1. A.
   It does not exist.
2. B.
   It is equal to 0.
3. C.
   It is equal to $-1$.
4. D.
   It is equal to 1.

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

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1. A.
   1 minute and 48 seconds
2. B.
   2 minutes and 11 seconds
3. C.
   2 minutes and 48 seconds
4. D.
   1 minute and 11 seconds

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1. A.
   2.1 s and 3.0 s.
2. B.
   2.1 s and 2.1 s.
3. C.
   1.9 s and 1.9 s.
4. D.
   1.9 s and 2.7 s.

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1. A.
   0.50
2. B.
   0.75
3. C.
   0.01
4. D.
   0.25

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1. A.
   $qdE$
2. B.
   $qdE/\sqrt{2}$
3. C.
   $\sqrt{2}/(qdE)$
4. D.
   $\sqrt{2}qdE$

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1. A.
   0.75 A
2. B.
   $-0.2$ A
3. C.
   0.84 A
4. D.
   0.28 A

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1. A.
   $\frac{1}{\sqrt{2}}(\hat{x} + \hat{z})$
2. B.
   $\frac{1}{\sqrt{2}}(\hat{y} + \hat{z})$
3. C.
   $\frac{1}{\sqrt{3}}(\hat{x} + \hat{y} + \hat{z})$
4. D.
   $\frac{1}{\sqrt{2}}(\hat{x} + \hat{y})$

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1. A.
   $532\ ^\circ\mathrm{C}$
2. B.
   $833\ ^\circ\mathrm{C}$
3. C.
   $278\ ^\circ\mathrm{C}$
4. D.
   $378\ ^\circ\mathrm{C}$

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1. A.
   2.5 m
2. B.
   20 m
3. C.
   10 m
4. D.
   1 m

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1. A.
   5 mT
2. B.
   1 mT
3. C.
   7 mT
4. D.
   3 mT

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1. A.
   The Zener diode has thicker depletion region and normal diode has higher electric field across the junction.
2. B.
   The normal diode has thicker depletion region and Zener diode has higher electric field across the junction.
3. C.
   The Zener diode has thicker depletion region and higher electric field across the junction.
4. D.
   The normal diode has thicker depletion region and higher electric field across the junction.

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1. A.
   p rises linearly from zero to a single peak, then falls linearly back to zero (one triangle above the t-axis)
2. B.
   p rises linearly from zero to a maximum, drops vertically to a negative minimum, then rises linearly back to zero
3. C.
   p rises linearly from zero to a maximum, falls linearly through zero to a negative minimum, then rises linearly back to zero
4. D.
   p rises linearly to a peak, falls to zero, then rises to a second equal peak and falls to zero again (two triangles above the t-axis)

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1. A.
   0.25
2. B.
   4.0
3. C.
   1.25
4. D.
   0.8

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1. A.
   20
2. B.
   5
3. C.
   25
4. D.
   50

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1. A.
   $2G\left[M_s^2 m r_{\text{max}} r_{\text{min}} \,/\, (r_{\text{max}} + r_{\text{min}})\right]^{1/2}$
2. B.
   $\left[2GM_s m^2 r_{\text{max}} r_{\text{min}} \,/\, (r_{\text{max}} + r_{\text{min}})\right]^{1/2}$
3. C.
   $2G\left[M_s^2 m r_{\text{max}} r_{\text{min}} \,/\, (r_{\text{max}} - r_{\text{min}})\right]^{1/2}$
4. D.
   $\left[2GM_s m^2 r_{\text{max}} r_{\text{min}} \,/\, (r_{\text{max}} - r_{\text{min}})\right]^{1/2}$

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1. A.
   30 m
2. B.
   50 m
3. C.
   40 m
4. D.
   20 m

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