Previous Year Questions

QUESTION ID:2

Identify the statement that is TRUE of operons. 

QUESTION ID: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?

QUESTION ID:4

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

I. Right ventricle

II. Aorta

III. Pulmonary vein 

QUESTION ID: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 

QUESTION ID:6

Cephalin, a biological surfactant, is

QUESTION ID:7

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

QUESTION ID: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) 

QUESTION ID:9

The speed of an electron (v),  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, ε_O is the permittivity of free space, a₀ is the Bohr radius)

QUESTION ID:10

QUESTION ID:11

In a population growing according to the logistic growth model

QUESTION ID:12

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

QUESTION ID:13

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

QUESTION ID:14

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

QUESTION ID: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?

QUESTION ID:16

The specific productivity (q_p) of cellulase production by Aspergillus niger follows a linear relationship with the specific growth rate (µ) and is of the form q_p = αµ + β, where α and β are constants. Assuming that the values of α and β are 0.006 and 25, respectively, which type of product formation kinetics is TRUE?

QUESTION ID:17

Choose the option that shows the correct pairing of the diseases with their corresponding causative organisms

QUESTION ID:18

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

QUESTION ID: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. 

QUESTION ID:20

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

QUESTION ID:21

The rate constant for the reaction O (g) + O₃ (g) → 2O₂ (g) is 8.0 × 10^–15 cm³ molecule^–1 s^–1 . The rate constant in dm³ mol^–1 s^–1, would be

QUESTION ID:22

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

QUESTION ID:23

The compound meso 2,3-dibromobutane is obtained by

QUESTION ID:24

The major product in the following reaction is

QUESTION ID:25

An archaeological sample (remains of an animal) containing ¹⁴C isotope of Carbon is found to give 10 beta decays per minute per gram of Carbon. It is known that the natural abundance of ¹⁴C 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 ¹⁴C is known to be 5730 years. The estimated age of the sample (in years) is

QUESTION ID: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 0.4 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

QUESTION ID: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 T_d = 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? (DROP)

QUESTION ID:28

 the sum of the series

QUESTION ID:29

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

QUESTION ID:30

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

QUESTION ID: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?

QUESTION ID:32

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

QUESTION ID: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? 

QUESTION ID:34

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

QUESTION ID:35

The superoxide ion, O₂ ^– , is produced by the reaction K+O₂→KO₂. The correct statement(s) pertaining to oxygen and superoxide ion is (are): 

QUESTION ID:36

Among the following compounds, which of these will show two singlets in their 1 H-NMR spectrum?

QUESTION ID:37

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

QUESTION ID: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 

QUESTION ID:39

QUESTION ID:40

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

QUESTION ID:41

The pH of a 0.1 M solution of monosodium succinate (pKa₁ = 4.19 and pKa₂ = 5.57) is _________ . 

QUESTION ID: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 _____

QUESTION ID: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 µl of the preparation in µmol.ml^–1.min^–1 is _______ . 

QUESTION ID:44

The number of peaks in the ¹³C-NMR spectrum of CDCl₃ is ________ . 

QUESTION ID:45

The number of phosphorous-hydrogen bonds in H₃PO₂ is ________ . 

QUESTION ID: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 destination 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 ____ 

QUESTION ID: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.  

QUESTION ID:48

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

QUESTION ID:49

The value of the complex number (1 + i)¹⁵⁰ + (1 - i)¹⁵⁰ is _____ .

QUESTION ID:50

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

QUESTION ID: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 _____ 

QUESTION ID:52

The pH of gastric juice in the stomach is 2.0. However the pH inside the cells that line the stomach is 7.0. For transport of protons from inside the cell to the stomach, the free energy change (∆G) in kJmol^–1at 37^oC is _____ 

[Assume Universal Gas constant R = 8.314 Jmol^–1K^–1] 

QUESTION ID: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 (ε) (see the table below), the concentration of the oxidized form of the cofactor in µM is ____ 

QUESTION ID:54

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

QUESTION ID:55

The number of equatorial hydrogens in the following structure is _____

QUESTION ID: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 _____ 

QUESTION ID: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 ²³⁵U with 33% efficiency for the conversion of heat released by nuclear fission to electrical power. Each atom of ²³⁵U releases 200 MeV of energy. How many tons of ²³⁵U did the reactor start with?

(1 ton = 1000 kg; Avogadro number = 6.023 × 10²³ mol^–1) 

QUESTION ID: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 _____ 

QUESTION ID:59

A circle is given by the equation  The area of a square whose side equals the radius of the circle is _____

QUESTION ID:60

The value of the integral