IISER IAT 2023 question paper
60 questions · 240 marks · 180 minutes · +4 per correct answer, -1 per wrong one
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Biology
15 questions
- 1Match the entries in Column I with their functions described in Column II.Which one of the following combinations is correct?
Column I Column II P. Squamous epithelium (i) The nucleus is at the basal side of the cell; also helps in movement of particles and mucous. Q. Cuboidal epithelium (ii) The nucleus is at the basal side of the cell; also helps in secretion and absorption. R. Columnar epithelium (iii) The nucleus is at the center of the cell; also helps in secretion and absorption. S. Ciliated epithelium (iv) It serves as a diffusion barrier. Tap an option to check your answer.
- 2Which one of the following best describes peptones?
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- 3Match the biomolecules given in Column I with their corresponding chemical nature given in Column II.Which one of the following combinations is correct?
Column I Column II P. Insulin (i) Secondary metabolite Q. Inulin (ii) Homopolymer R. Lectin (iii) Quaternary ammonium derivative S. Lecithin (iv) Hetropolymer Tap an option to check your answer.
- 4A mitotic drug inhibits microtubule formation. Which one of the following stages of karyokinesis will be the first to get affected by the drug?
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- 5Which one of the following statements regarding seed structure is INCORRECT?
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- 6Which one of the following anatomical features of wood can be used to estimate the age of a tree growing in a temperate climate?
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- 7Which one of the following statements is CORRECT about biological nitrogen fixation in plants?
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- 8Which one of the following is an example of genetic diversity?
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- 9When the ribosome encounters a stop codon in the mRNA, during translation, which one of the followng binds to the stop codon?
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- 10Match the terms in column I with their corresponding physiological roles given in Column II.Which one of the following combinations is correct?
Column I Column II P. Sertoli cells (i) Secretion of chorionic gonadotropin Q. Follicle stimulating hormone (ii) Carries urine away from bladder R. Placenta (iii) Carries urine away from kidney S. Urethra (iv) Provides nutrition to developing spermatozoa (v) Triggers ovulation Tap an option to check your answer.
- 11For which one of the following diseases does the causative agent require the splicing of their hnRNA to generate mature mRNA?
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- 12The diagram represents an enzyme, its substrate and potential inhibitors (P, Q, R, S, T). Which one of the following combinations is the best pair of competitive inhibitors for the enzyme?
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- 13In an island with 10,000 individuals, four have sickle cell anemia, a recessive autosomal disease. Assuming that the locus is in Hardy-Weinberg equilibrium, how many individuals in that island are expected to be heterozygous for the disease allele?
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- 14A 1000 base-pair DNA fragment was cloned between Hind III and EcoR I sites of the plasmid vector (pIAT) of size 3500 base-pair. The cloned fragment had a Not I site as shown in the figure. In order to confirm the presence of the insert, the recombinant plasmid was digested completely with (a) Not I and EcoR I, and (b) Not I and Hind III. In lane 1 the products of the digestion by Not I and EcoR I was loaded. In lane 2 the products of the digestion by Not I and Hind III was loaded. Which one of the following correctly represents the agarose gel electrophoresis profile of the digested recombinant plasmid for (a) and (b), respectively?
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- 15The following pedigree chart shows the inheritance of a genetic disorder. I-2 and III-2 are the only affected individuals. Which one of the following is the correct pattern of inheritance of the disorder, and the genotype of the II-3 individual?
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Chemistry
15 questions
- 16How many radial nodes does have in its 4s orbital?
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- 17Amongst , , , and , which molecules will be attracted to an external magnetic field?
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- 18What is the smallest bond angle in the highly reactive allotrope of phosphorus?
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- 19Which of the following is an ore of iron?
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- 20Which parameters are plotted in the Ellingham diagram?
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- 21Which of the following compounds will NOT undergo the Finkelstein reaction with NaI via pathway? I: , (bromomethyl)benzene II: , bromobenzene III: , (E)-(2-bromoethenyl)benzene IV: , (bromomethyl)cyclohexane
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- 22Which one amongst the following is the most efficient way of synthesizing n-propyl benzene? (I) (II) (III) (IV)
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- 23Which amongst the following are chiral compounds? (I) 4,4-dimethylcyclohexan-1-amine (II) but-3-en-2-amine, (III) 4-ethenyl-4-methylcyclohexan-1-one (IV) 2-methylcyclohex-2-en-1-ol (Wedge and hash bonds as drawn in the figure.)
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- 24Which one amongst the following bases is NOT present in RNA?
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- 25Which amongst the following are aromatic?
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- 26Why is it harder to compress liquids and solids relative to gases?
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- 27Related to the Freundlich adsorption isotherm, which one of the following statements is NOT correct?
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- 28Consider the following reaction: ; Which of the statements is FALSE?
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- 29In two solutions X (hexane and benzene) and Y (water and HCl), what types of deviations from Raoult's law are observed?
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- 30In aqueous solution, the hydronium ion gets further hydrated to give which of the following species?
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Mathematics
15 questions
- 31Let be a continuous decreasing function. Suppose are in a geometric progression with common ratio . In which of the following intervals does the value of lie?
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- 32Let be a matrix with real entries such that What is the value of the determinant of ?
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- 33What is the locus of the center of circles passing through the origin with fixed radius?
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- 34Let be a real number. What is the total number of distinct point(s) of intersection between the parabola and the pair of lines ?
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- 35Let be a straight line passing through the origin, and it makes angles , and with the positive , and -axes, respectively. What is the value of ?
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- 36What is the total number of distinct divisors of ?
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- 37Suppose the mean and the standard deviation of the data are and , respectively. After including one more data value , the mean of the data remains . What is the standard deviation of the data ?
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- 38Consider three biased coins. Let the probability of getting head be and the probability of getting tail be in each of the coins. Consider the experiment of tossing the three coins one by one, and the following events: "at least two heads show up" "first coin shows tail". What is the conditional probability of given that has already occured?
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- 39Which of the following differential equations has as one of its particular solutions?
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- 40What is the area of the region ?
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- 41Consider the objective function subject to the constraints: What is the minimum value of subject to the above constraints?
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- 42Let be a quadratic polynomial with real coefficients and . Suppose and . What is the product of the roots of ?
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- 43Let be a differentiable function such that and Then in which of the following intervals does lie?
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- 44Let . Which of the following statements is true?
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- 45Which one of the following functions is differentiable at ?
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Physics
15 questions
- 46A ball is thrown vertically upwards with an initial speed from a height above the ground. The ball eventually hits the ground with a speed . The acceleration due to gravity is and the air resistance is negligible. What is the average speed of the ball over its entire trajectory?
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- 47Two cubes A and B of same dimensions are made of different materials with densities and , respectively. Cube A floats in water with a fraction of its volume immersed. When cube B is placed on top of cube A, it is found that cube A is just entirely immersed, while cube B is entirely above the surface of the water. What is the ratio ?
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- 48An object is placed in front of a convex lens. A real inverted image of double its size is formed. When the object is moved closer to the lens by a distance , the image shifts away from the lens by a distance from its previous position. What is the magnitude of the magnification in the final setup?
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- 49The frequency of the whistle of a train moving with a constant speed is observed by a stationary detector on the platform to be . The frequency of the same whistle is detected to be inside another train moving on a parallel track, at a speed towards the first train. If the speed of sound in air is taken to be , what is the ratio ?
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- 50A current flows through a cylindrical cable of length and uniform cross-sectional area . The power dissipated due to the current is . The cable is cut into two equal halves. If the cross-sectional area and the current flowing through the two halves remain unchanged and the power dissipated in each half is , which of the following options is correct?
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- 51Particle A with charge and particle B with charge are fixed at positions and , respectively. The force on A due to B is , and that on B due to A is . Which of the following options is correct?
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- 52The magnetic flux through a coil at a time is given by , where and is a non-zero constant. At what time is the magnitude of the induced emf a maximum?
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- 53The intrinsic electron and hole concentrations of a Si-based intrinsic semiconductor are and , respectively. Upon doping with trivalent impurities the respective carrier concentrations become and . Which of the following options is true?
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- 54The velocity of a particle moving in one dimension is given by: where is a constant. What is the total displacement of the particle from time to ?
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- 55Two fixed point particles, each of charge , are separated by a distance . Another point charge of mass is oscillating about its equilibrium position as indicated in the figure below. The time period of oscillation is given by . Given that is the permittivity of free space, which of the following options is the dimensionally correct expression for in SI units?
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- 56What is the effective resistance between A and B in the circuit shown below?
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- 57Two spherical bodies A and B each of mass and radius are located such that their centers are apart by a distance of as shown in the figure. An object C of mass is thrown from the surface of A directly towards the center of B with a speed , where is the minimum speed needed for C to reach the surface of B. Given that is the universal gravitational constant, how does the speed of C change as a function of its distance from the center of A?
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- 58Consider the Bohr model of an atom where an electron of charge revolves around a nucleus of charge in an orbit of radius . The electron has an orbital angular momentum . If the nucleus had charge , what would have been the radius of the orbit of the electron with the same principal quantum number?
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- 59A quantity has been measured to have a value of 0.00230 in some units. How many significant figures does the measured value have?
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- 60Consider a Carnot heat engine operating between a heat reservoir at temperature 600 K, and an external atmosphere at temperature 300 K. In one cycle, 1000 kJ of heat is extracted from the heat reservoir, and the associated work is input to a reversible refrigerator that operates between 200 K and the same external atmosphere at 300 K. The refrigerator completes one cycle and releases heat into the atmosphere. How much heat is released into the atmosphere at the end of one cycle of the combined system?
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