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QUESTION: 1

Which one of the following most accurately describes the process of natural selection?

Solution:

QUESTION: 2

Identify the statement that is TRUE of operons.

Solution:

QUESTION: 3

Signaling pathways usually comprise of several intermediate steps that are arranged in the form of a cascade. What is the primary outcome of such an arrangement ?

Solution:

QUESTION: 4

Which among the following contain(s) oxygen- rich blood in the human vascular system?

I. Right ventricle II. Aorta III. Pulmonary vein

Solution:

QUESTION: 5

Choose the option that lists the correct sequence of steps involved in gene therapy.

P. Injection of expression vector into patient

Q. Wild- type gene is inserted into expression vector

R. Wild- type gene is isolated and cloned

S. Wild- type gene is transcribed and translated in the patient

Solution:

QUESTION: 6

Cephalin, a biological surfactant, is

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QUESTION: 7

The major product(s) produced by gas phase UV irradiation of 2- pentanone is (are)

Solution:

QUESTION: 8

If a projectile lifts off from the surface of the Earth with a speed of 11.2 km.s–1, then it can escape from the Earth’s gravitational field completely. This is called the escape velocity. If the radius of the Earth were 2 times larger and the mass 8 times larger, then the escape velocity (in km.s–1) would be

Solution:

QUESTION: 9

Let R be the set of all real numbers. Consider the sets P = {x ∈ R : (x – 1)(x^{2} + 1) = 0}, Q = {x ∈ R : x^{2} – 9x + 2) = 0} and S = {x ∈ R : x = 5y for some y ∈ R} Then the set (P∩ S) ∪ Q contains

Solution:

*Multiple options can be correct

QUESTION: 10

The speed of an electron (n ), in the lowest energy orbit in the Bohr model of the Hydrogen atom divided by the speed of light in vacuum (c), is given by (where m is the mass of the electron, M is the mass of the proton, eo is the permittivity of free space, ao is the Bohr radius)

Solution:

QUESTION: 11

In a population growing according to the logistic growth model

Solution:

QUESTION: 12

Which part of the genomic DNA contains the sequence corresponding to the 5' untranslated region (5' UTR) ?

Solution:

QUESTION: 13

Which one of the following is NOT TRUE of RNA polymerase II ?

Solution:

QUESTION: 14

Choose the option that shows the correct pairing of the cellular components with their corresponding function.

Solution:

QUESTION: 15

An enzyme shows highest activity in the pH range 2.0 - 3.0. At pH 4.0 and pH 7.0, the enzyme exhibits 50% and 1%, respectively, of its highest activity. Which of the following states of an amino acid residue in the catalytic site is most responsible for its activity profile ?

Solution:

QUESTION: 16

The specific productivity (q^{p}) of cellulase production by Aspergillus niger follows a linear relationship with the specific growth rate (m) ans is of the form q_{p} = αm + β, where a and b are constants.Assuming that the values of a and b are 0.006 and 25, respectively, which type of product formation kinetics is TRUE ?

Solution:

QUESTION: 17

Choose the option that shows the correct pairing of the diseases with their corresponding caus ative organisms.

Solution:

QUESTION: 18

Choose the option that shows the correct pairing of the products with their corresponding microorganisms.

Solution:

QUESTION: 19

Determine the correctness or otherwise of the following Assertion [a] and Reason [r].Assertion [a]. B cells secrete antibodies against a virus while cytotoxic T cells kill virus-infected cells.Reason [r]. B cells confer active immunity while cytotoxic T cells confer passive immunity.

Solution:

QUESTION: 20

Which one of the following options shows the correct pairing of the enzyme with its corresponding application ?

Solution:

QUESTION: 21

The rate constant for the reaction O(g) + O_{3}(g)→ 2O_{2} (g) is 8.0 × 10–15 cm^{3} molecule–1 s^{–1}. The rate constant in dm^{3} mol^{–1} s^{–1}, would be

Solution:

QUESTION: 22

The UV spectrum of 2- butanone and the UV spectrum of methyl vinyl ketone (MVK) are independently recorded and compared. Among the various lmax, 185 nm, 219 nm, 277 nm and 324nm, the absorption at λ _{max}= 324 nm is due to

Solution:

QUESTION: 23

The compound meso 2,3- dibromobutane is obtained by

Solution:

QUESTION: 24

The major product in the following reaction is

Solution:

QUESTION: 25

An archaeological sample (remains of an animal) containing ^{14}C isotope of Carbon is found to give 10 beta decays per minute per gram of Carbon. It is known that the natural abundance of ^{14}C in organic matter that is in equilibrium with the atmosphere today will give 15 beta decays per minute per gram of Carbon. The half life of ^{14}C is known to be 5730 years. The estimated age of the sample (in years) is

Solution:

QUESTION: 26

The minimum light intensity that the human eye can perceive is 10^{-10} Wm^{-2}. The area of the opening of our eye (the pupil) is approximately 4 cm^{-2}. Consider yellow light with wavelength λ = 600 nm. The number of photons incident on the retina per second at the minimum intensity for the eye to respond is

Solution:

QUESTION: 27

Three NOT gates are connected in series and the output of the last gate is fed back to the input of the first one as shown in the figure. Each gate has a propagation delay of Td = 1 nano second, which means that the gate requires 1 nano second to change the output after the signal arrives at the input. What is the expected output at point A ?

Solution:

QUESTION: 28

Let ^{n}c_{r} denote the number Then for n=100, the sum of the series

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QUESTION: 29

The lengths of two sides of a triangle are 2 units and 3 units and the angle included by these two sides is 60o. The length of the third side of the triangle will be

Solution:

QUESTION: 30

If A and B are two skew- symmetric matrices, the matrix AB + BA must be

Solution:

*Multiple options can be correct

QUESTION: 31

In a large wild flower population, assume that no new mutations occur and that no natural selection operates. What factor(s) will affect the frequency of a genotype in this population ?

Solution:

*Multiple options can be correct

QUESTION: 32

What is (are) the difference(s) between microtubules and microfilaments ?

Solution:

*Multiple options can be correct

QUESTION: 33

N and N0 represent the number of viable cells at time ‘t’ during sterilization and at the start of sterilization (t = 0), respectively. Assuming that cell death follows first order kinetics and that k is the death rate constant, which of the following relationship(s) is/are correct ?

Solution:

*Multiple options can be correct

QUESTION: 34

Which of the following statements about antigen- antibody (Ag- Ab) complexes is (are) TRUE?

Solution:

*Multiple options can be correct

QUESTION: 35

The superoxide ion, O_{2-}, is produced by the reaction K + O_{2} → KO_{2}. The correct statement(s) pertaining to oxygen and superoxide ion is (are) :

Solution:

*Multiple options can be correct

QUESTION: 36

Among the following compounds, which of these will show two singlets in their ^{1}H_{-} NMR spectrum?

Solution:

*Multiple options can be correct

QUESTION: 37

Among the following pairs of co- ordination compounds, the pair(s) which represent(s) a case of “ionization isomerism” is (are):

Solution:

*Multiple options can be correct

QUESTION: 38

The “strong nuclear force” holds the protons and neutrons (nucleons) together in the nucleus of an atom. It is found that the binding energy per nucleon (for the nucleus of an element) when plotted against the mass number (A) of that element changes very little for 30 < A < 150. The binding energy is lower for A << 30 or A >> 150. This leads us to conclude that

Solution:

*Multiple options can be correct

QUESTION: 39

be two non- zero vectors such that

Solution:

*Multiple options can be correct

QUESTION: 40

Let N be the set of all natural numbers. Consider the relation R on N given by R = {(m,n):m- n is divisible by 2}. Then

Solution:

*Answer can only contain numeric values

QUESTION: 41

The pH of a 0.1 M solution of monosodium succinate (pKa_{1} = 4.19 and pKa_{2} = 5.57) is ____

Solution:

*Answer can only contain numeric values

QUESTION: 42

The deactivation rate constant of an enzyme is 0.346 h^{–1}. Assuming that the deactivation process follows first order kinetics, the half life of the enzyme in minutes is _____

Solution:

*Answer can only contain numeric values

QUESTION: 43

An enzyme preparation containing 10 mg/ml protein shows a specific activity of 50 U/mg. The initial velocity of reaction in a standard 1 ml reaction mixture containing 10 ml of the preparation in mmol.ml^{-1}.min^{-1} is _____

Solution:

*Answer can only contain numeric values

QUESTION: 44

The number of peaks in the ^{13}C- NMR spectrum of CDCl_{3} is ____

Solution:

*Answer can only contain numeric values

QUESTION: 45

The number of phosphorous- hydrogen bonds in H_{3}PO_{2} is ____

Solution:

*Answer can only contain numeric values

QUESTION: 46

A man weighing 70 kg stands on a weighing scale which is placed in an elevator. The elevator is moving up towards its destination floor with a velocity of 1.0 ms^{–1}. As it approaches the destina tion floor it starts slowing down, such that it comes to rest in 2 seconds. Assuming the acceleration due to gravity, g = 9.8 ms^{–2}, the reading of the weighing scale just before the elevator comes to rest is______

Solution:

*Answer can only contain numeric values

QUESTION: 47

A 50- metre tall antenna transmits at 107 MHz (one of the FM radio broadcast frequencies).

Calculate the maximum distance from the antenna at which the transmitted signal can be heard.

Ignore atmospheric attenuation and give your answer correct to the nearest kilometer only. You are given that the radius of the earth is 6400 km.

Solution:

*Answer can only contain numeric values

QUESTION: 48

The total number of mappings from the set {1, 2} to the set {3,4,5,6,7} is _____

Solution:

*Answer can only contain numeric values

QUESTION: 49

The value of the complex number (1+i)^{150} + (1- i)^{150} is _____

Solution:

*Answer can only contain numeric values

QUESTION: 50

Let the function f :R→ R be defined by

If f is continuous at x=0 , then the value of k must be equal to _____

Solution:

*Answer can only contain numeric values

QUESTION: 51

Assume that the gene UNC is essential for the coordinated movement of a nematode and that the wild- type allele U is dominant over the mutant allele u. Similarly, the wild- type allele D of another gene DPY, which is responsible for the normal body length, is dominant over the mutant allele d. Assume the UNC and DPY are on two different chromosomes. If a female of genotype UUDD mates with a male of the genotype uudd, the percentage of the F2 progeny that will display uncoordinated movement but will have normal body length is _____

Solution:

*Answer can only contain numeric values

QUESTION: 52

The pH of gastric juice in the stomach is 2.0. However the pH inside the cells that line the stom ach is 7.0. For transport of protons from inside the cell to the stomach, the free energy change (ΔG) in kJmol^{-1}at 37^{o}C is _____ [Assume Universal Gas constant R = 8.314 Jmol^{-1}K^{-1}]

Solution:

*Answer can only contain numeric values

QUESTION: 53

A solution containing NAD+ and NADH has an optical density of 0.233 at 340 nm and 1.000 at 260 nm. While this solution absorbs at 260 nm, NADH alone absorbs at 340 nm. All measurements are carried out in a 1- cm cuvette. Given the extinction coefficients (e) (see the table below), the concentration of the oxidized form of the cofactor in mM is ____

Solution:

*Answer can only contain numeric values

QUESTION: 54

Drosophila melanogaster is a diploid organism having 8 chromosomes. The number of combinations of chromosomes which are possible in its gametes is _____

Solution:

*Answer can only contain numeric values

QUESTION: 55

The number of equatorial hydrogens in the following structure is _____

Solution:

*Answer can only contain numeric values

QUESTION: 56

The axis of rotation of the earth makes an angle of 66.5^{o} with the plane containing the Earth’s orbit around the Sun (called the plane of the ecliptic). If this angle were 50^{o}, then the area of the Earth’s surface from which a “midnight Sun” (24 hour daylight) can be observed would change.

The ratio of the new area to the previous area is _____

Solution:

*Answer can only contain numeric values

QUESTION: 57

A nuclear power plant generates 1000 Megawatts (MW) of electrical power and used half of its fuel supply in 5 years. The reactor uses ^{235}U with 33% efficiency for the conversion of heat released by nuclear fission to electrical power. Each atom of ^{235}U releases 200 MeV of energy.

How many tons of 235U did the reactor start with ? (1 ton = 1000 kg; Avogadro number = 6.023 × 10^{23} mol^{–1})

Solution:

*Answer can only contain numeric values

QUESTION: 58

A bat emitting ultrasound at 50 kHz is flying directly towards a solid wall with a speed of 3 ms^{–1}.

If the speed of sound in air is 330 ms^{–1}, the frequency of the reflected signal (in kHz) heard by the bat will be _____

Solution:

*Answer can only contain numeric values

QUESTION: 59

A circle is given by the equation 2x^{2}+2y^{2}+8x - 20y+10= 0. The area of a square whose side equals the radius of the circle is _____

Solution:

*Answer can only contain numeric values

QUESTION: 60

The value of the integral

Solution:

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