Q.60 The number of optically inactive geometrical isomers of [Pt(NH3)2(py)2Cl2]2+ is _____ . (where, 'py' is pyridine)

Number of Optically Inactive Geometrical Isomers of [Pt(NH3)2(py)2Cl2]2+[Pt(NH3)2(py)2Cl2]2+ Explained

Q.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)

Entropy Change When 200 g of Water Is Heated from 10 °C to 22 °C at Constant Pressure

Q.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.

Radiocarbon Dating Problem

Q.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

Drift Velocity of Electrons in a Copper Wire Carrying 20 A Current

Q.56 If [x] denotes the greatest integer valued function (e.g., [1.16] = 1 & [1.8] = 1) and L = ∫13 [x² + 1]/[x+1] dx, then ____=L degrees.

Greatest Integer Function Integral from 1 to √3

Q.55 The right limit limx→3⁺ [log((x-3)) + csc³((x-3)) + (x-3)²] is _____ .

Right Hand Limit of (x−3)²(log(x−3)+csc((x−3)²)) as x → 3⁺

Q.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.

Protein Secondary Structure Length Calculation

Q.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.

Bacterial Growth Calculation

Q.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: Phenotypes Number of seeds Colored, round seed 380 Colorless, shrunken seed 396 Colored, shrunken seed 14 Colorless, round seed 10 For the above, the distance between the genes for seed color and seed shape on the chromosomes would be _____ centimorgan units.

Genetic distance between seed color and seed shape genes

Q.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)

Polypeptide Fragments from DTT, Cyanogen Bromide, and Trypsin Sequential Digestion

Q.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 .

How to Calculate Vmax from Km, Substrate Concentration and Rate in Michaelis–Menten Enzyme Kinetics

Q.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 _____ .

Expected Number of Patients with Both High BP and High Sugar in Clinic Probability Problem

Q.48 The number of signals in 13 C NMR for the following structure is _____ .

Number of 1313C NMR Signals for Bridged Cyclohexane System Explained

Q.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.

Jet Plane Lands on Aircraft Carrier at 70 m/s

Q.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.

Young’s Double Slit Experiment

Q.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 _____ .

How to Find |y+z| for the Circle Formed by Plane x+y+z=0 and Sphere x²+y²+z²=9

Q.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 _____ .

Receptor Ligand Dissociation Constant Kd 10^{-8} M

Q.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 _____ .

Hardy-Weinberg Equilibrium Allele Frequency 0.7 Heterozygous Calculation

Q.42 A 152 nm long Watson-Crick double helical DNA (B-DNA) will contain _____ turns.

Watson-Crick B-DNA Turns Calculation for 152 nm Length

Q.41 The net charge on the following peptide at pH 7.0 is _____ . Val-Asp-Asn-Lys-Ser-Ile

 Net Charge on Peptide at pH 7

Q.40 In the 1H NMR spectrum of 1-bromopropane (structure shown below), which of the following statements are CORRECT? CH2 CH2 CH3 cba Br (A) Protons ‘a’ resonate upfield to protons ‘c’ (B) Protons ‘b’ resonate downfield to protons ‘c’ (C) There are two triplets and one quartet in the spectrum (D) Protons ‘a’ appear as triplet with high chemical shift in comparison to protons ‘c’

1H NMR Spectrum of 1‑Bromopropane

Q.39 Which of the following statements are CORRECT? (A) Fluorescence has a much longer decay period than that of phosphorescence (B) Radiative transition from T1 to S 0 is phosphorescence (C) Radiative transition from S 1 to S 0 is fluorescence (D) Enhancing the life time of the excited state is quenching

 Fluorescence vs Phosphorescence

Q.38 The magnetic field in the interior of a long current-carrying solenoid can be increased by (A) increasing the length of solenoid while keeping the number of turns per unit length as constant (B) increasing the number of turns per unit length (C) increasing the current in the solenoid (D) decreasing the length of solenoid while keeping the number of turns per unit length as constant

How to Increase Magnetic Field in Long Current-Carrying Solenoid

Q.37 In $$ \triangle PQR, \angle P = 60^\circ $$, QP = QR and S is the mid-point of QR. If QS = PS and PR = 5, then PQ = \(\frac{3}{5}\) PS = \(\frac{2}{5}\) Area of the triangle PSR = \( \frac{3}{2} (25 - 5\sqrt{3}) \) S is the circumcenter of PQR

Detailed solution of triangle PQR problem with midpoint and circumcenter

Q.36 If $$ f(x) = \begin{cases} ax^2 + bx + c & 0 \leq x \leq 1 \\ c + \frac{x \sin(\frac{\pi x}{2})}{10} & 1 \leq x \leq 2 \end{cases} $$ is continuous and differentiable at all points in the interval $[0,2]$ and $$ f(2) = \frac{4}{\pi} $$, then $$ a = \frac{1}{\pi} $$ and $$ b = \frac{16}{\pi} $$ $$ c = \frac{1}{16} $$ and $$ b = \frac{\pi}{8} $$ $$ c = \frac{\pi}{8} $$ and $$ a = \frac{\pi}{8} $$ $$ b = \frac{8}{\pi} $$ and $$ a = \frac{3}{16\pi} $$

Continuity and Differentiability of a Piecewise Function

Q.35 Apoptosis is a controlled process of cell death. The process involves (A) exposure of phosphatidyl serine on the outer surface of the cell membrane (B) decreased permeability of the outer mitochondrial membrane (C) increased lysosomal activity (D) inter-nucleosomal cleavage of genomic DNA

Apoptosis Process in Controlled Cell Death

Q.34 Which of the following are NOT true for photosynthesis? (A) Reduction of CO2 and H2O (B) Oxidation of CO2 and H2O (C) Reduction of CO2 and oxidation of H2O (D) Oxidation of CO2 and reduction of H2O

 Photosynthesis Redox Reaction

Q.33 Which of the following statements are TRUE for cellulose? (A) Cellulose serves a structural role (B) Cellulose is a branched polysaccharide (C) Cellulose is a homopolysaccharide composed of (α1→4) linked D-glucose units (D) Cellulose is a homopolysaccharide composed of (β1→4) linked D-glucose units

Cellulose Structure: Structural Role, β1→4 D-Glucose Linkage Explained

Q.32 Which of the following statements are TRUE for hydrogen bonds? Strength of hydrogen bond is (A) low in a solvent of high dielectric constant (B) low in a solvent of low dielectric constant (C) lower in water as compared to organic solvents (D) higher in water as compared to organic solvents

Hydrogen Bond Strength in High Dielectric Constant Solvents vs Organic Solvents

Q.31 Identify the autoimmune diseases among the following (A) Type II Diabetes Mellitus (B) Type I Diabetes Mellitus (C) Gestational Diabetes (D) Pernicious Anaemia

 Identify Autoimmune Diseases

Q.30 Which one is the major product of the following reaction?

Azo Coupling of Sulphanilic Acid with Resorcinol

Q.29 Considering the periodic trends of elements, which of the following is NOT correct? (A) MgO and Na₂O are basic, and SiO₂ is acidic (B) Atomic radius decreases in a period from left to right (C) Order of first ionization energies: K < Mg < Ca (D) Order of bond energies: C−C < Si−O < N≡N

Periodic Trends MCQ

Q.28 Of the given isomers of molecules Ι and ΙΙ, the meso-form is CH₃CH(Br)CH(Cl)CH₃ Ι CH₃CH(Cl)CH(Cl)CH₃ ΙΙ (A) (R,R)-isomer of Ι (B) (R,S)-isomer of ΙΙ (C) (R,S)-isomer of Ι (D) (S,S)-isomer of ΙΙ

Meso Form of 2‑Bromo‑3‑chlorobutane and 2,3‑Dichlorobutane

Q.27 The major product in the following reaction is

Major Product in NaOEt/EtOH Elimination of Substituted Cyclohexyl Chloride

Q.26 Match the equations in the left column with their names in the right column Equations Names (i) ln Ka = ln A - Ea/RT (p) Kirchhoff's law (ii) ln Kr = ln Kr0 - ∆H0r/RT + ∆S0r/R (q) van't Hoff equation (iii) ∆Hr(T1) - ∆Hr(T2) = ∆Cp(T1 - T2) (r) Clausius-Clapeyron equation (iv) ln P = -∆H/RT + constant (s) Arrhenius equation (A) (i)-(s), (ii)-(r), (iii)-(p), (iv)-(q) (B) (i)-(p), (ii)-(q), (iii)-(r), (iv)-(s) (C) (i)-(p), (ii)-(q), (iii)-(s), (iv)-(r) (D) (i)-(s), (ii)-(q), (iii)-(p), (iv)-(r)

Match the equations with their names

Q.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 (A) 107° (B) 117° (C) 127° (D) 137°

Two Vectors Equal Magnitude

Q.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 (A) 1.18 × 107 (B) 1.18 × 108 (C) 2.18 × 107 (D) 2.18 × 108

Electron Circular Path in Magnetic Field

Q.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? (A) Frequency (B) Kinetic energy (C) Momentum (D) Speed

Alpha Particle Proton Same de Broglie Wavelength

Q.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 (A) 3.2 × 105 m/s (B) 4.2 × 105 m/s (C) 5.2 × 105 m/s (D) 6.2 × 105 m/s

PN Junction Depletion Region

Q.21 Let Z be the set of all integers and f and g are one-one mappings from Z into itself. If    −−=++= nodd for n f(n) = g(f(n)) - 1 neven for n g(n) = f(g(n)) + 1 and f(-1) = 3 then (A) g(2) = 0 (B) f(3) = 2 (C) g(2) = 1 (D) f(3) = 1

Detailed Solution of Functional Equation Question on One‑One Mappings

Q.20 Let P(t) denote the population of a species at time t. If P(t) is given by the equation dP/dt = P(1 - P) and if the initial population P(0) = 0.1 million, then the population at t = 1 is (A) e9 + e (B) e-9 + e (C) (1 - e-9)/e (D) e9 + e

Logistic Growth Differential Equation Question

Q.19 A line L parallel to the vector î + ĵ + k̂ passes through the point (1,2,4) and meets the xy-plane at a point P. The distance between the origin and P is (A) 10 (B) 11 (C) 12 (D) 13

Distance from Origin to Line Meeting the xy-Plane

Q.18 Match the entries in Group I with the entries in Group II Group I Group II P) Yeast 2 Hybrid System 1) in vivo protein-DNA interaction Q) Electrophoretic Mobility Shift Assay 2) protein structure determination R) Chromatin Immunoprecipitation 3) in vitro protein-DNA interaction S) Nuclear Magnetic Resonance 4) protein-protein interaction (A) P-3, Q-2, R-1, S-4 (B) P-4, Q-3, R-1, S-2 (C) P-4, Q-1, R-3, S-2 (D) P-1, Q-3, R-4, S-2

Matching Yeast Two Hybrid, EMSA, ChIP and NMR

Q.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 (A) both the cell lines had the same amount of radioactivity (B) the fast growing cells had more radioactivity (C) the slow growing cells had more radioactivity (D) neither of the cells had any radioactivity

Radioactive Thymidine Labeling in Fast vs Slow Growing Mammalian Cell Lines

Q.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? (A) Chloroplasts will be destroyed (B) Chlorophyll in the chloroplast will release bound Magnesium (C) Chloroplasts will be intact but no ATP will be produced (D) Chloroplasts will be intact and ATP will be produced

Chloroplasts pH 4 to pH 8 ATP Production Experiment

Q.15 Match the entries in Group I with the entries in Group II Group I Group II P) Bacteria 1) Leishmaniasis Q) Virus 2) Anthrax R) Fungus 3) Rubella S) Protozoa 4) Athletes Foot (A) P-2, Q-3, R-4, S-1 (B) P-2, Q-3, R-1, S-4 (C) P-2, Q-4, R-3, S-1 (D) P-1, Q-2, R-4, S-3

Match the entries in Group I with Group II

Q.14 Match the entries in Group I with the entries in Group II Group I Group II P) DNA replication 1) Hershey and Chase Q) Genetic Code 2) Miller and Urey R) Life on Earth 3) Messelson and Stahl S) DNA as Genetic material 4) Nirenberg and Khorana (A) P-2, Q-1, R-3, S-4 (B) P-4, Q-3, R-2, S-1 (C) P-3, Q-4, R-2, S-1 (D) P-3, Q-4, R-1, S-2

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

Q.13 Higher levels of glycosylated hemoglobin (HbA1c) indicate (A) high hemoglobin level (B) anaemic condition (C) diabetes (D) favism

Higher Levels of Glycosylated Hemoglobin (HbA1c)

Q.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. (A) [a] and [r] are true and [r] is the correct reason for [a] (B) [a] and [r] are true but [r] is not the correct reason for [a] (C) both [a] and [r] are false (D) [a] is false but [r] is true

ATP Synthase Not Part of Electron Transport Chain in Oxidative Phosphorylation

Q.11 Match the entries in Group I with the entries in Group II Group I Group II P) Epilepsy 1) Degeneration of neurons in cerebral cortex Q) Alzheimer's disease 2) Degeneration of dopamine releasing neurons R) Parkinson's disease 3) Decreased production of acetylcholine S) Huntington's disease 4) Defect in electric discharge in the neurons (A) P-3, Q-2, R-4, S-1 (B) P-4, Q-3, R-2, S-1 (C) P-4, Q-1, R-2, S-3 (D) P-1, Q-3, R-4, S-2

Match the Entries in Group I with Group II

Q.10 The migratory aptitude of (alkyl or aryl) substituents in Baeyer-Villiger oxidation is (A) methyl < primary < secondary < tertiary (B) tertiary < secondary < primary < methyl (C) phenyl < methyl < primary < tertiary (D) tertiary < primary < methyl < phenyl

Baeyer-Villiger Oxidation Migratory Aptitude

Q.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 (A) 1.6 (B) 3.2 (C) 4.6 (D) 5.2

Maximum Force in Simple Harmonic Motion Spring

Q.8 Consider two nuclei with the same mass number A. For which of the following values of A, the fusion reaction is NOT possible? (A) 15 (B) 22 (C) 29 (D) 36

 Fusion Reaction Not Possible for Mass Number A

Q.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 (A) 1/40 (B) 1/20 (C) 3/10 (D) 3/80

Probability Three Numbers from 1 to 10 Sum to 9

Q.6 In ecotone, some species become abundant and they are called (A) sibling species (B) endemic species (C) rare species (D) edge species

Edge Species in Ecotone

Q.5 Radial symmetry is the characteristic feature of which of the following phyla? (A) Arthropoda (B) Mollusca (C) Cnidaria (D) Chordata

Radial Symmetry in Cnidaria

Q.4 The circulatory levels of estrogen is derived mainly from (A) thecal and granulosa cells (B) gonadotrophs (C) endometrial epithelia (D) Leydig cells

Circulatory Levels of Estrogen

Q.3 Eukaryotic cell containing flagella is (A) cell lining the fallopian tube (B) sperm (C) Paramecium (D) cell lining the respiratory tract

Eukaryotic Cell Containing Flagella

Q.2 During mitosis, disappearance of the nucleolus is a hallmark of (A) metaphase (B) prophase (C) anaphase (D) telophase

Disappearance of Nucleolus During Mitosis

Q.1 Pure IgG antibody was run on an SDS-PAGE under reducing condition. How many bands would you see after staining with Coomassie blue? (A) 4 (B) 2 (C) 1 (D) 6

Pure IgG Antibody SDS-PAGE Reducing Conditions Bands

Latest Courses