IISER IAT 2017 question paper

1. A.
   1,3,4 and 2,5,6
2. B.
   1,4,6 and 2,3,5
3. C.
   1,3,5 and 2,4,6
4. D.
   1,5,6 and 2,3,4

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1. A.
   Plant A turns redder than Plant B.
2. B.
   Plant B turns redder than Plant A.
3. C.
   Neither plant turns red.
4. D.
   Both plants turn equally red.

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1. A.
   They will become extinct.
2. B.
   Their beaks will not change at all.
3. C.
   Their beaks become smaller.
4. D.
   Their beaks will become larger.

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1. A.
   9/year
2. B.
   Zero
3. C.
   2/year
4. D.
   5/year

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1. A.
   The inner and outer membranes have identical sets of enzymes.
2. B.
   The mitochondrial matrix contains single circular DNA molecule.
3. C.
   The inner membrane forms many infoldings called cristae.
4. D.
   The mitochondrial matrix possesses 70S ribosomes.

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1. A.
   Cells in this stage are dying.
2. B.
   Cells in this stage are metabolically active but not dividing.
3. C.
   Cells in this stage are highly proliferative.
4. D.
   Cells in this stage are proliferative but metabolically inactive.

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1. A.
   Administering anti-Rh antibodies to a Rh +ve woman before her first pregnancy.
2. B.
   Administering anti-Rh antibodies to a Rh +ve mother after her first Rh +ve child birth.
3. C.
   Administering anti-Rh antibodies to a Rh -ve woman before her first pregnancy.
4. D.
   Administering anti-Rh antibodies to a Rh -ve mother after her first Rh +ve child birth.

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1. A.
   FAD
2. B.
   $\mathrm{NAD^+}$
3. C.
   Oxygen
4. D.
   Cytochrome C

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1. A.
   Peyer's Patches of small intestine
2. B.
   Spleen
3. C.
   Liver
4. D.
   Thymus

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1. A.
   $K_M$ is the concentration of the enzyme at the optimal pH.
2. B.
   $K_M$ is the reaction velocity at half the optimal substrate concentration.
3. C.
   $K_M$ is the concentration of substrate when the velocity of the reaction is half that of the maximal velocity.
4. D.
   $K_M$ is the concentration of the enzyme at the optimal temperature.

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1. A.
   A glass of Oral Rehydration Suspension (ORS) plus two tablets of streptomycin twice a day for three days.
2. B.
   Two tablets of amoxycillin twice a day for at least three days.
3. C.
   One tablet of amoxycillin plus one tablet of a pain killer four times a day for at least three days.
4. D.
   Adequate rest and a balanced diet for at least three days.

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1. A.
   At the time of puberty
2. B.
   During embryonic development
3. C.
   During ovulation
4. D.
   At the time of birth

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1. A.
   It is multilayered and mainly protects from chemical and mechanical stresses.
2. B.
   It is multilayered and covers the outer lining of secretory glandular epithelium.
3. C.
   It is multilayered and help binding tissues together and their eventual organization.
4. D.
   It is multilayered and actively participates in secretion and absorption.

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

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1. A.
   All three RE1, RE2 and RE3 digested DNA.
2. B.
   Only to RE1 digested DNA.
3. C.
   Only to RE1 and RE3 digested DNA.
4. D.
   Only to RE1 and RE2 digested DNA.

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1. A.
   $\mathrm{CH_3COCH_3}$
2. B.
   $\mathrm{CH_3CH_2CH_2COOH}$
3. C.
   5,5-dimethylcyclohexane-1,3-dione
4. D.
   $\mathrm{O_2NCH_2CON(CH_3)_2}$

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

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1. A.
   2-(2-phenyl-1,3-dioxolan-2-yl)acetaldehyde
2. B.
   2-(2-phenyl-1,3-dioxolan-2-yl)ethan-1-ol
3. C.
   $\mathrm{C_6H_5COCH_2CH_2OH}$
4. D.
   $\mathrm{C_6H_5CH(OH)CH_2CH_2OH}$

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1. A.
   4-methoxybenzaldehyde
2. B.
   4-nitrobenzaldehyde
3. C.
   4-formylbenzonitrile
4. D.
   1-(4-nitrophenyl)ethan-1-one

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1. A.
   Trigonal planar
2. B.
   T-shaped
3. C.
   Trigonal pyramidal
4. D.
   Tetrahedral

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

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1. A.
   2-phenylcyclohexan-1-one
2. B.
   $\mathrm{OHCCH_2CH_2CH_2CH(CH_2CH_3)COC_6H_5}$
3. C.
   $\mathrm{CH_3CH_2CO(CH_2)_4COC_6H_5}$
4. D.
   $\mathrm{OHCCH_2CH_2CH_2CH(C_6H_5)COCH_2CH_3}$

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1. A.
   $\mathrm{[M(CN)_6]^{4-}}$
2. B.
   $\mathrm{[MF_6]^{3-}}$
3. C.
   $\mathrm{[MF_6]^{4-}}$
4. D.
   $\mathrm{[M(CN)_6]^{3-}}$

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1. A.
   $\mathrm{[Co(H_2NCH_2CH_2NH_2)_3]^{3+}}$
2. B.
   trans-$\mathrm{[Co(H_2NCH_2CH_2NH_2)_2Cl_2]^+}$
3. C.
   $\mathrm{[Co(NH_3)_4Cl_2]^+}$
4. D.
   $\mathrm{[Co\{P(C_2H_5)_3\}_2ClBr]}$

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1. A.
   $\mathrm{[Al(H_2O)_6]^{3+}}$
2. B.
   $\mathrm{[Zn(H_2O)_6]^{2+}}$
3. C.
   $\mathrm{[Ni(H_2O)_6]^{2+}}$
4. D.
   $\mathrm{[Mg(H_2O)_6]^{2+}}$

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1. A.
   1074.5 $mL$
2. B.
   824.5 $mL$
3. C.
   1250 $mL$
4. D.
   1000 $mL$

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1. A.
   $\mathrm{[Cu^{2+}] > [SO_4^{2-}]}$
2. B.
   pH $< 7$
3. C.
   pH $> 7$
4. D.
   $\mathrm{[Cu^{2+}] = [SO_4^{2-}]}$

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1. A.
   $nk$
2. B.
   $\frac{n(n+1)k}{2}$
3. C.
   $k$
4. D.
   $e^{-nk}$

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1. A.
   P = 12, N = 11, E = 23
2. B.
   P = 11, N = 12, E = 23
3. C.
   P = 11, N = 12, E = 11
4. D.
   P = 11, N = 12, E = 22

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1. A.
   $W_i > W_p > W_a > W_f$
2. B.
   $W_p > W_i > W_a > W_f$
3. C.
   $W_i > W_p > W_f > W_a$
4. D.
   $W_p > W_a > W_i > W_f$

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

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1. A.
   $2^n$.
2. B.
   $2^n - 2$.
3. C.
   $n!$.
4. D.
   $2^n - 1$.

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1. A.
   $f$ is a decreasing function but $f'$ is an increasing function.
2. B.
   Both $f$ and $f'$ are increasing functions.
3. C.
   $f$ is an increasing function but $f'$ is a decreasing function.
4. D.
   Both $f$ and $f'$ are decreasing functions.

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

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1. A.
   $-3$.
2. B.
   $-\frac{56}{9}$.
3. C.
   $-\frac{28}{9}$.
4. D.
   $\frac{28}{9}$.

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1. A.
   6
2. B.
   19
3. C.
   13
4. D.
   7

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

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1. A.
   $\frac{1}{2}$
2. B.
   $\frac{26}{64}$
3. C.
   $\frac{27}{64}$
4. D.
   $\frac{1}{8}$

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1. A.
   hyperbola.
2. B.
   straight line.
3. C.
   circle.
4. D.
   parabola.

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1. A.
   onto but not one-one.
2. B.
   neither one-one nor onto.
3. C.
   one-one and onto.
4. D.
   one-one but not onto.

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1. A.
   local minima at $\pi/2$.
2. B.
   local maxima at $\pi/3$.
3. C.
   local minima at $\pi/6$.
4. D.
   local maxima at $\pi/4$.

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1. A.
   $p$ has no roots in the interval $[0, 1]$.
2. B.
   All roots of $p$ lie in the interval $[0, 1]$.
3. C.
   $p$ has exactly one root in the interval $[0, 1]$.
4. D.
   $p$ has a root in the interval $[0, 1]$.

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1. A.
   $2^{30}$.
2. B.
   $2^{15}$.
3. C.
   1.
4. D.
   $5^{15}$.

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1. A.
   5.
2. B.
   1.
3. C.
   3.
4. D.
   9.

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1. A.
   1/2.
2. B.
   $-1$.
3. C.
   1.
4. D.
   0.

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1. A.
   $\mathrm{R}T\ln\frac{V_B - V_C}{V_C}$.
2. B.
   $(P_1 - P_2)V_C + P_2(V_B - V_C)$.
3. C.
   $\mathrm{R}T\ln\frac{V_B}{V_C} - P_2(V_B - V_C)$.
4. D.
   0.

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1. A.
   $\frac{\pi d^2 \Delta L (Y_{\mathrm{Cu}} L_{\mathrm{Al}} - Y_{\mathrm{Al}} L_{\mathrm{Cu}})}{4 L_{\mathrm{Cu}} L_{\mathrm{Al}}}$.
2. B.
   $\frac{\pi d^2 \Delta L (Y_{\mathrm{Cu}} L_{\mathrm{Al}} + Y_{\mathrm{Al}} L_{\mathrm{Cu}})}{4 L_{\mathrm{Cu}} L_{\mathrm{Al}}}$.
3. C.
   $\frac{\pi d^2 Y_{\mathrm{Cu}} Y_{\mathrm{Al}} \Delta L}{4 (Y_{\mathrm{Cu}} L_{\mathrm{Al}} + Y_{\mathrm{Al}} L_{\mathrm{Cu}})}$.
4. D.
   $\frac{\pi d^2 Y_{\mathrm{Cu}} Y_{\mathrm{Al}} \Delta L}{4 (Y_{\mathrm{Cu}} L_{\mathrm{Al}} - Y_{\mathrm{Al}} L_{\mathrm{Cu}})}$.

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1. A.
   2.5.
2. B.
   3.
3. C.
   $\frac{3}{5}\ln 2$.
4. D.
   $\frac{5}{3}\ln 2$.

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1. A.
   $\frac{1}{2} m_1 v_i^2 [1 - \frac{m_1}{m_1 + m_2}]$.
2. B.
   $\frac{1}{2} m_2 v_i^2 [1 - \frac{m_1}{m_1 + m_2}]$.
3. C.
   $\frac{1}{2} (m_1 + m_2)(v_i - v_f)^2$.
4. D.
   $\frac{1}{2} m_1 v_i^2 [1 - \frac{m_2}{m_1 + m_2}]$.

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1. A.
   $|\vec{v_1} - \vec{v_2}|^2 \frac{m_1 m_2}{m_1 + m_2} t_0$.
2. B.
   $|\vec{v_1} - \vec{v_2}|^2 \frac{m_2^2}{m_1} t_0$.
3. C.
   $|\vec{v_1} - \vec{v_2}|^2 m_2 t_0$.
4. D.
   0.

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1. A.
   $2\cot^{-1}\left(\frac{1 - 2\mu}{\sqrt{3}}\right)$.
2. B.
   $2\cot^{-1}\left(\frac{2\mu - 1}{\sqrt{3}}\right)$.
3. C.
   $2\cot^{-1}(\sqrt{3} - 2\mu)$.
4. D.
   $2\cot^{-1}(2\mu - \sqrt{3})$.

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1. A.
   2/5 A
2. B.
   1/3 A
3. C.
   2/3 A
4. D.
   70/75 A

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1. A.
   Current.
2. B.
   Charge.
3. C.
   Frequency.
4. D.
   Time.

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1. A.
   an AND Gate.
2. B.
   an OR Gate.
3. C.
   a NAND Gate.
4. D.
   a NOR Gate.

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1. A.
   300 km
2. B.
   90 km
3. C.
   6 km
4. D.
   1 km

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1. A.
   $t_A > t_B > t_C$
2. B.
   $t_A = t_B > t_C$
3. C.
   $t_A = t_B < t_C$
4. D.
   $t_A < t_B < t_C$

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

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1. A.
   $0.16 \times 10^6$ Hz
2. B.
   $1.6 \times 10^6$ Hz
3. C.
   $10^9$ Hz
4. D.
   $10^6$ Hz

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1. A.
   Maximum value of transverse velocity of any point is $12\pi$ cm/s and wavelength is 0.2 m.
2. B.
   Speed of wave propagation in the +ve $x$-direction is $4\pi$ cm/s.
3. C.
   Transverse velocity at $t = 0$ and $x = 0.25$ cm is $6\sqrt{2}\pi$ cm/s.
4. D.
   Maximum value of transverse acceleration of any point is $48\pi^2$ cm/s$^2$.

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1. A.
   Electron moves along trajectory C with a time of flight given by $(m_e v/eE)\sin^2\theta$.
2. B.
   Electron moves along trajectory C with a maximum horizontal displacement given by $(m_e v^2 \sin 2\theta)/eE$.
3. C.
   Electron moves along trajectory A with a horizontal displacement given by $v\cos\theta\sqrt{2dm_e/eE}$.
4. D.
   Electron moves along trajectory B with a final velocity $v\cos\theta$ parallel to the electrodes.

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