Previous Year Questions

QUESTION ID:2

During mitosis, disappearance of the nucleolus is a hallmark of 

QUESTION ID:3

Eukaryotic cell containing flagella is 

QUESTION ID:4

The circulatory levels of estrogen is derived mainly from 

QUESTION ID:5

Radial symmetry is the characteristic feature of which of the following phyla? 

QUESTION ID:6

In ecotone, some species become abundant and they are called 

QUESTION ID:7

From the set of 10 numbers {1, 2,...,10} three numbers are selected at random without replacement. The probability that the sum of these selected numbers is 9, is 

QUESTION ID:8

Consider two nuclei with the same mass number A. For which of the following values of A, the fusion reaction is NOT possible?

QUESTION ID:9

The time period and the amplitude of an object executing simple harmonic motion, under the restoring force of a spring, are 3.14 seconds and 0.2 m, respectively. If the mass of the object is 2 kg, the maximum force (in Newton) exerted by the spring on the object is

QUESTION ID:10

The migratory aptitude of (alkyl or aryl) substituents in Baeyer-Villiger oxidation is

QUESTION ID:11

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

QUESTION ID:12

Determine the correctness or otherwise of the following Assertion [a] and Reason [r].

Assertion: In the process of ATP synthesis in oxidative phosphorylation, ATP synthase is not a part of electron transport chain on inner mitochondrial membrane.

Reason: ATP synthase is coupled to electron transport chain through proton motive force. 

QUESTION ID:13

Higher levels of glycosylated hemoglobin (HbA1c) indicate

QUESTION ID:14

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

QUESTION ID:15

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

QUESTION ID:16

In an experiment conducted in the dark, isolated chloroplasts are kept in buffer (pH 4.0) at 4 °C until their internal pH is equal to 4.0. Then, they are transferred to a buffer of pH 8.0, and ADP and Pi are added at the same time. Which of the following will happen?

QUESTION ID:17

Two mammalian cell lines with doubling times of 12 h and 36 h were cultured with radioactive thymidine for 8 h. The cells were further cultured without the radioactive thymidine for 72 h. Incorporated radioactivity was measured in equal number of cells in each culture, which revealed that

QUESTION ID:18

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

QUESTION ID:19

A line L parallel to the vector  passes through the point (1,2,4) and meets the xy-plane at a point P. The distance between the origin and P is

QUESTION ID:20

Let P(t) denote the population of a species at time t. If P(t) is given by the equation  and if the initial population P(0) = 0.1 million, then the population at

QUESTION ID:21

Let Z be the set of all integers and f and g are one-one mappings from Z into itself.

QUESTION ID:22

In a p-n junction, the depletion region has a width of 3 × 10⁻⁷ m and the intensity of electric field in the depletion region is 10⁶ V/m. An electron approaches the junction from the n-side with velocity v₁ and enters the p-side with velocity v₂. If v₂ = 4 × 10⁵ m/s, the value of v₁ is

Given data: Charge of electron = 1.6 × 10⁻¹⁹ C; Mass of electron = 9.1 × 10⁻³¹ kg

QUESTION ID:23

An alpha particle and a proton have the same de Broglie wavelength. Which of the following is also the same for the two particles if they are moving at non-relativistic speeds?

QUESTION ID:24

An electron is accelerated from rest through a potential difference of 400 V. The electron then enters a uniform magnetic field that is perpendicular to the direction of electrons. The radius of the circular path experienced by the electron is 10 cm. The angular speed of electrons, in radians/sec, is

Given data: Charge of electron = 1.6 × 10⁻¹⁹ C; Mass of electron = 9.1 × 10⁻³¹ Kg 

QUESTION ID:25

Consider two vectors P and Q of equal magnitude. If the magnitude of P + Q is two-times larger than that of P − Q, then the angle between them is 

QUESTION ID:26

Match the equations in the left column with their names in the right column

QUESTION ID:27

The major product in the following reaction is

QUESTION ID:28

Of the given isomers of molecules Ι and ΙΙ, the meso-form is

QUESTION ID:29

Considering the periodic trends of elements, which of the following is NOT correct?

QUESTION ID:30

Which one is the major product of the following reaction?

QUESTION ID:31

Identify the autoimmune diseases among the following

QUESTION ID:32

Which of the following statements are TRUE for hydrogen bonds?

Strength of hydrogen bond is

QUESTION ID:33

Which of the following statements are TRUE for cellulose?

QUESTION ID:34

Which of the following are NOT true for photosynthesis?

QUESTION ID:35

Apoptosis is a controlled process of cell death. The process involves

QUESTION ID:36

If    is continuous and differentiable at all points in the interval [0,2] and , then

QUESTION ID:37

In ∆PQR, ∠Q =60° and S is the mid-point of QR. If QS = PS and PR = 5, then

QUESTION ID:38

The magnetic field in the interior of a long current-carrying solenoid can be increased by

QUESTION ID:39

Which of the following statements are CORRECT?

QUESTION ID:40

In the ¹H NMR spectrum of 1-bromopropane (structure shown below), which of the following statements are CORRECT?  

QUESTION ID:41

The net charge on the following peptide at pH 7.0 is _____ . 

Val-Asp-Asn-Lys-Ser-Ile

QUESTION ID:42

A 152 nm long Watson-Crick double helical DNA (B-DNA) will contain _____ turns.

QUESTION ID:43

A population is in Hardy-Weinberg equilibrium for a gene with only two alleles (“A” and “a”). If the gene frequency of the allele “A” is 0.7, genotype frequency of heterozygous “Aa” is _____ . 

QUESTION ID:44

A receptor binds to its ligand with a dissociation constant Kd = 10⁻⁸ M. The concentration of the ligand required to occupy 10% of the receptors would be 10^−x M. The value of x is _____ .

QUESTION ID:45

The plane x + y + z = 0 intersects the sphere  x² + y² + z² = 9 along a circle. If (2, y, z) is a point on the circle, then the value of |y + z| is _____ .

QUESTION ID:46

In Young’s double slit experiment, the slits are separated by a distance of 0.05 mm and the source emits light of two wavelengths 450 and 520 nm. If the distance between the slit and viewing screen is 2 m, the separation between 2nd order bright fringes for the two wavelengths is _____ cm.

QUESTION ID:47

A jet plane lands on an aircraft carrier at 70 m/s and stops in 3 seconds. Assuming that the acceleration is constant, the jet plane travels a distance of _____ m before it stops.

QUESTION ID:48

The number of signals in ¹³C NMR for the following structure is _____ .

QUESTION ID:49

From the database of a clinic it was found that out of 2000 patients who had visited the clinic in a year, 900 had high BP, 900 had high Sugar and 400 had neither high BP nor high Sugar. On a given day, if 20 patients visit the clinic, the expected number of patients who have both high BP and high Sugar is _____ .  

QUESTION ID:50

An enzyme catalyzes the conversion of 4 × 10⁻⁴ M substrate into product at a rate of 20 µM/min. If the Km value for the enzyme is 2 × 10⁻⁴ M, the value of V_max is _____ µM/min.

QUESTION ID:51

The following polypeptide chain was sequentially treated with dithiothreitol, cyanogen bromide, and trypsin.

Phe-Trp-Lys-Tyr-Met-Gly-Ala-Cys-Cys-Pro-Met-Asp-Gly-Arg-Phe-Ala-Gly-Trp

The total number of fragments expected at the end of complete digestion of the polypeptide are _____ . (consider that none of the reagents interfere with each other’s activities)  

QUESTION ID:52

In maize, the genes for colored seed and round seed are dominant over the genes for colorless seed and shrunken seed. Pure breeding strains of the double dominant variety were crossed with the double recessive variety and a test cross of the F1 generation produced the following:

For the above, the distance between the genes for seed color and seed shape on the chromosomes would be _____ centimorgan units.

QUESTION ID:53

A culture of 10⁶ bacteria, with doubling time of 60 min, is grown in a nutrient medium at 37 °C. Considering that the nutrients are unlimited, the number of bacteria at the end of 10 h would be _____ × 10⁶ .

QUESTION ID:54

A 50-amino acid residue stretch of a globular protein adopts an extended structure containing a true α-helix of 24 residues and β-strand of 26 residues. The total length of the stretch will be _____ nm.

QUESTION ID:55

QUESTION ID:56

If [x] denotes the greatest integer valued function (e.g., [1.16] = 1 & [1.8] = 1) and  , then L = ____ degrees. 

QUESTION ID:57

A copper wire having a cross sectional area of 6.62 × 10⁻⁶ m² carries a current of 20 A. Assuming that each atom contributes one free electron to the current, the time required by electrons to travel a distance of 1 m is _____ min.

Given data: Density of copper = 8.92 g/cm³ and molar mass = 63.5 g/mol, Avogadro number = 6.02 × 10²³

QUESTION ID:58

A piece of charcoal, containing 36 grams of Carbon, found in ancient ruins shows a ¹⁴C activity of 300 decays/min. The tree, from which this charcoal came, has been dead for _____ years. 

Given data: The ratio of ¹⁴C to ¹²C is 1.3 × 10⁻¹² in the CO₂ molecules of atmosphere and the half life of ¹⁴C is 5730 years.

QUESTION ID:59

At constant pressure, 200 g of water was heated from 10 °C to 22 °C. The molar heat capacity of H₂O at constant pressure is 75.3 J K⁻¹ mol⁻¹ . The increase in entropy for this process is _____ J K⁻¹ .

(Consider that molar heat capacity of water is independent of temperature and that water does not expand when heated)

QUESTION ID:60

The number of optically inactive geometrical isomers of [Pt(NH₃)₂(py)₂Cl₂] ²⁺ is _____ . (where, ‘py’ is pyridine)