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QUESTION: 1

Pure IgG antibody was run on an SDS-PAGE under reducing condition. How many bands would you see after staining with Coomassie blue?

Solution:

QUESTION: 2

During mitosis, disappearance of the nucleolus is a hallmark of

Solution:

QUESTION: 3

Eukaryotic cell containing flagella is

Solution:

QUESTION: 4

The circulatory levels of estrogen is derived mainly from

Solution:

QUESTION: 5

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

Solution:

QUESTION: 6

In ecotone, some species become abundant and they are called

Solution:

QUESTION: 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

Solution:

QUESTION: 8

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

Solution:

QUESTION: 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

Solution:

QUESTION: 10

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

Solution:

QUESTION: 11

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

Solution:

QUESTION: 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.

Solution:

QUESTION: 13

Higher levels of glycosylated hemoglobin (HbA1c) indicate

Solution:

QUESTION: 14

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

Solution:

QUESTION: 15

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

Solution:

QUESTION: 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 P_{i} are added at the same time. Which of the following will happen?

Solution:

QUESTION: 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

Solution:

QUESTION: 18

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

Solution:

QUESTION: 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

Solution:

QUESTION: 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 t = 1 is

Solution:

QUESTION: 21

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

Solution:

QUESTION: 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 10^{6} V/m. An electron approaches the junction from the n-side with velocity v_{1} and enters the p-side with velocity v_{2}. If v_{2} = 4 × 10^{5} m/s, the value of v_{1} is

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

Solution:

QUESTION: 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?

Solution:

QUESTION: 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

Solution:

QUESTION: 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

Solution:

QUESTION: 26

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

Solution:

QUESTION: 27

The major product in the following reaction is

Solution:

QUESTION: 28

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

Solution:

QUESTION: 29

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

Solution:

QUESTION: 30

Which one is the major product of the following reaction?

Solution:

*Multiple options can be correct

QUESTION: 31

Identify the autoimmune diseases among the following

Solution:

*Multiple options can be correct

QUESTION: 32

Which of the following statements are TRUE for hydrogen bonds?

Strength of hydrogen bond is

Solution:

*Multiple options can be correct

QUESTION: 33

Which of the following statements are TRUE for cellulose?

Solution:

*Multiple options can be correct

QUESTION: 34

Which of the following are NOT true for photosynthesis?

Solution:

*Multiple options can be correct

QUESTION: 35

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

Solution:

*Multiple options can be correct

QUESTION: 36

is continuous and differentiable at all points in

the interval [0,2] and then

Solution:

*Multiple options can be correct

QUESTION: 37

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

Solution:

*Multiple options can be correct

QUESTION: 38

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

Solution:

*Multiple options can be correct

QUESTION: 39

Which of the following statements are CORRECT?

Solution:

*Multiple options can be correct

QUESTION: 40

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

Solution:

*Answer can only contain numeric values

QUESTION: 41

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

Val-Asp-Asn-Lys-Ser-Ile

Solution:

*Answer can only contain numeric values

QUESTION: 42

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

Solution:

*Answer can only contain numeric values

QUESTION: 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 _____ .

Solution:

*Answer can only contain numeric values

QUESTION: 44

A receptor binds to its ligand with a dissociation constant K_{d} = 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 _____ .

Solution:

*Answer can only contain numeric values

QUESTION: 45

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

Solution:

*Answer can only contain numeric values

QUESTION: 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.

Solution:

*Answer can only contain numeric values

QUESTION: 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.

Solution:

*Answer can only contain numeric values

QUESTION: 48

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

Solution:

*Answer can only contain numeric values

QUESTION: 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 _____ .

Solution:

*Answer can only contain numeric values

QUESTION: 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 Vmax is _____ µM/min.

Solution:

*Answer can only contain numeric values

QUESTION: 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)

Solution:

*Answer can only contain numeric values

QUESTION: 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.

Solution:

*Answer can only contain numeric values

QUESTION: 53

A culture of 10^{6} 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 _____ × 10^{6}.

Solution:

*Answer can only contain numeric values

QUESTION: 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.

Solution:

*Answer can only contain numeric values

QUESTION: 55

The right limit

Solution:

*Answer can only contain numeric values

QUESTION: 56

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

Solution:

*Answer can only contain numeric values

QUESTION: 57

A copper wire having a cross sectional area of 6.62 × 10^{−6} m^{2} 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/cm^{3} and molar mass = 63.5 g/mol,

Avogadro number = 6.02 × 10^{23}

Solution:

*Answer can only contain numeric values

QUESTION: 58

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

Given data: The ratio of ^{14}C to ^{12}C is 1.3 × 10^{−12} in the CO_{2} molecules of atmosphere and the half life of ^{14}C is 5730 years.

Solution:

*Answer can only contain numeric values

QUESTION: 59

At constant pressure, 200 g of water was heated from 10 °C to 22 °C. The molar heat capacity of H_{2}O 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)

Solution:

*Answer can only contain numeric values

QUESTION: 60

The number of optically inactive geometrical isomers of [Pt(NH_{3})_{2}(py)_{2}Cl_{2}]^{2+} is _____ .

(where, ‘py’ is pyridine)

Solution:

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