Biotechnology - 2019 Past Year Paper - IIT JAM

Let U= {1, 2, 3, 4, 5.} A subset S is chosen uniformly at random from the non-empty subsets of U. What is the probability that S does NOT have two consecutive elements?

Which one of the following figures represents the correct sequence of phases in adult eukaryotic cell cycle?

At what pH does poly-Glu in an aqueous solution form α-helical structure?

The dimensions of coefficient of viscosity are _______.

Match the entries in Group I with the entries in Group II

The technique that involves impacting samples with electrons is _______.

The orbital angular momentum of hydrogen atom in the ground state is ________.

Let   and Then,

In how many ways can one write the elements 1, 2, 3, 4 in a sequence

Simplify

The evolution of eyes in octopus and in human is an example of ________.

Which one of the following modifications occurs both on DNA and protein?

Solutions of the following peptides are prepared separately at a concentration of 1 mM. Amongthese four, which one has the highest A₂₈₀?

The free energy required to synthesize a mixed anhydride bond of 1,3-bisphosphoglycerate isgenerated by the oxidation of ________.

The following reaction is an example of ___________.

Which one of the following parameters changes upon doubling the enzyme concentration?

Which one of the following statements is a correct description of modes of action of taxol andcolchicine?

In a simple microscope, _______.

Which one of the following statements is INCORRECT with respect to bacterial conjugation?

A particle starting from rest is subjected to a constant force. The plot of distance traveled along thedirection of the force as a function of time is a/an ______.

Indole acetic acid (IAA) is involved in ______.

Which one of the following remains unchanged when light waves enter water from air?

According to the kinetic theory of gases, the average energy of a diatomic molecule in an ideal gasdepends on _______.

Match the entries in Group I with entries in Group II

pKa increases in the order _______.

H₂ reacts with trans-(Ph₃P)₂Ir(CO)Cl to primarily produce _______.

Among the following species, the metal center that has the highest number of unpaired electrons is _______.

Pick the correct statement(s) with respect to the inter-conversion of the topoisomers of a circularlyclosed double stranded DNA.

Let Let consist of all prime numbers, consist of all even numbers and consist of all multiples of 3. Let T=P-Q. Then, which of the following is/are CORRECT?

Let f(x) = (x-1) (x-2) (x-3) (x-4) and let α = f(3/2), β = f(5/2) and γ = f(7/2).  Which of the following is/are CORRECT?

The characteristic oxygen binding profile of hemoglobin shown below arises due to the ________.

The advantage(s) of storing chemical energy in the form of starch and not as free glucose is/are thatit________.

Which of the following cell types can develop from myeloid lineage?

Electromagnetic waves _______.

Which of the following statement(s) is/are true?

BF₃ reacts readily with ________.

The reaction of (R)-2-bromobutane with CN^- proceeds by ________.

C₃ plants utilize 18 molecules of ATP to synthesize one molecule of glucose from CO₂. How many molecules of ATP equivalents are used by C₄ plants to synthesize one molecule of glucose from CO₂?

A 0.1% (w/v) solution of a protein absorbs 20% of the incident light. What fraction of light is transmitted if the concentration is increased to 0.4%? [Correct to two decimal places]

Let XYZ be an equilateral triangle and let P, Q, R be the mid points of YZ, XZ, and XY, respectively.

The value of r is _______.

Let N be the set of natural numbers and f: N ↦ N be defined by

Let fⁿ(x) denote the n-fold composition of f(x). What is the smallest integer n such that fⁿ(13) = 1 ?

Heterozygous female fruit flies with gray body and purple eyes were mated with homozygous males with black body and red eyes. The number of offspring obtained and their phenotypes are shown below:

Calculate the recombination frequency.

Proinsulin is an 84 residue polypeptide with six cysteines. How many different disulfide combinations are possible?

The refractive index of a liquid relative to air is 1.5. Calculate the ratio of the real depth to the apparent depth when the liquid is taken in a beaker.

A metallic wire of electrical resistance 40 Ω is bent in the form of a square loop. The resistance between any two diagonally opposite corners is ________ Ω.

The total number of lone pairs of electrons in NO₂F is _______.

The total number of multiplet peaks in the ¹H NMR spectrum of 1,3,5-tri-isopropylbenzene in CDCl₃ is ________.

A schematic representation of restriction fragment length polymorphism (RFLP) analysis of a sample population is shown below. The number of people exhibiting a given pattern is indicated above the lanes.

Calculate the frequency of 6.5 kb allele. [Correct to two decimal places]

The value of is ______.

Phosphoglucoisomerase catalyzes the following reaction:

If 0.05% of the original concentration of Glu-6-P remains at equilibrium, then the equilibrium constant of this reaction is________.

In a bacterium, a mutation resulted in an increase of K_S (substrate-specific constant) for ammonium from 50 μM to 5000 μM without affecting μ_max. The specific growth rate (μ) of the mutant growing on 0.5 mM ammonium in the medium decreases by a factor of ________.

The total number of DNA molecules present after 5 cycles of polymerase chain reaction (PCR) starting with 3 molecules of template DNA is ________.

Two identical, infinite conducting plates are kept parallel to each other and are separated by a distance d. The uniform charge densities on the plates are +σ and -σ. The electric field at a point between the two plates is where n is _______. (ε₀ is the permittivity of free space)

The concentration of NaCl (in mM) formed at the stoichiometric equivalence point when 10 mL of 0.1 M HCl solution is titrated with 0.2 M NaOH solution is ________. (as an integer)

The standard emf of a cell (in V) involving the reaction, 2 Ag⁺ (aq.) → Ag (s) + Ag²⁺ (aq.) at 298 K is _________. [Correct to two decimal places]

[Given: Ag+ (aq.) + e → Ag (s); E^o = 0.62 V and Ag²⁺ (aq.) + e → Ag⁺ (aq.); E^o = 0.12 V]

Let and If then the value of α + β + γ equals_______.

An infinitely long solenoid of radius r and number of turns per unit length n carries a steady current I. The ratio of the magnetic fields at a point on the axis of the solenoid to a point r/2 from the axis is _______.