List of top Biological Science Questions asked in IIT JAM BL

In the following figure, the radius of the circle circumscribing the regular hexagon is 2 cm. The area of the shaded region is ............ cm\(^2\) (round off to 2 decimal places)

Which of the following statements is/are TRUE for the function \( f(x) \) shown in the figure given below?

In an experiment to examine the role of exopolymetric substances (EPS) on bacterial growth, a wild-type strain (S⁺) and a mutant strain deficient in EPS production (S⁻) were grown in monocultures as well as in co-culture (in equal proportion of S⁺ and S⁻). The CFU (colony forming units) of these cultures measured after 24 hours are shown in the following figure.

Which one of the following phenomena best describes the interaction between the wild-type strain (S⁺) and mutant strain (S⁻)?

Match the diseases in Group A with their corresponding causative microorganisms in Group B

Match the metabolic pathways in Group A with corresponding enzymes in Group B

Which one of the following matches is CORRECT between the microorganisms given in Group A with their requirement of oxygen in Group B?

Which one of the following plots represents exponential growth?

The complete oxidation of one mole of palmitoyl CoA yields 23 moles of water and 16 moles of carbon dioxide. The amount of water that can be produced from 1 kg of tripalmitate is ............ mL (round off to 2 decimal places)

In the second-order reaction \( 2A \to B \), the initial concentration of A is 1.0 M and after 30 minutes, the concentration of A is 0.5 M. The rate constant of the reaction is ............ L/mol/h (round off to 2 decimal places)

Water from a full cylindrical vessel of height \( h \) and of unknown diameter is completely emptied to precisely fill two cylindrical vessels of the same diameter \( d \) and heights \( h \) and \( 3h \). The diameter of the original vessel is ............ \( \times d \) (round off to 2 decimal places)

Evaluate the limit \( \lim_{x \to 1} \frac{x^2 - 1}{\sqrt{x} - 1} \)

If \( x \), \( y \), and \( z \) are all positive and \( x + y + z = 9 \), the maximum value of \( xyz \) is ............

In a diploid population at Hardy-Weinberg equilibrium, the locus A has two alleles \( A_1 \) and \( A_2 \). If the frequency of \( A_1 A_1 \) genotype is 0.01, then the frequency of the allele \( A_2 \) is ............ (round off to 2 decimal places)

The growth rate of a bacterial culture is given by \( x \left( 1 - \frac{x}{100} \right) \), where \( x \) is the density of the culture. The growth rate is maximum when the density is equal to ............ (round off to 1 decimal place)

The angle (in degrees) between the hour hand and the minute hand of a 12-hour clock showing 6:30 is ............ (round off to 1 decimal place)

A hypothetical plant forms 10 leaves, each of which is perfectly circular with 10 cm diameter. If the total number of stomata made by all these leaves is \( 7.85 \times 10^6 \), then the stomatal density in these leaves would be ............ / mm\(^2\) (round off to 1 decimal place)

In a large insect population, males and females are equally abundant. If a student collects four insects from this population at random, the probability that all of them are male is ............ (round off to 2 decimal places)

In an examination consisting of 100 multiple choice questions, each question has four choices out of which only one is correct. A student scores +1 for each correct answer and a negative mark of -1/5 for each wrong answer. The correct choices are uniformly distributed across the four choices. If an unprepared student always selects the first choice for each question, then the expected value of the student’s total score in the examination would be ............ (round off to 1 decimal place)

A bacterial population in the log-phase grows from \( 4 \times 10^6 \) cells to \( 8.64 \times 10^6 \) cells in 20 minutes. The doubling time of the bacterium is ............ minutes (round off to 1 decimal place)

An E. coli cell with an internal volume of 2 femtolitres contains 10 molecules of a repressor protein in its cytosol. The concentration of the repressor protein is ............ nM (round off to 1 decimal place)

Tryptophan (Trp) is encoded by UGG, phenylalanine (Phe) is encoded by UUU and UUC, isoleucine (Ile) is encoded by AUU, AUC, and AUA, and glycine (Gly) is encoded by GGU, GGC, GGA and GGG. The maximum number of RNA segments with unique sequences that can encode the polypeptide Ile-Phe-Trp-Ile-Gly-Trp would be ............

Values of \( \Delta G_f^0 \) (standard Gibbs free energy of formation) for molecules A, B, and C are \[ \Delta G_f^0(A) = -34 \, \text{kJ/mol}, \quad \Delta G_f^0(B) = 84 \, \text{kJ/mol}, \quad \Delta G_f^0(C) = -100 \, \text{kJ/mol}, \] respectively. The \( \Delta G^0 \) for the reaction \( A + B \rightarrow C \) would be ............ kJ/mol (round off to 1 decimal place)

A spherical bacterium has a diameter of 2 µm. Its volume to surface area ratio is equal to ............ µm (round off to 2 decimal places)

The value of the integral \( \int_0^\infty e^{-y} \, dy \) is equal to ......... (round off to 2 decimal places)

During photosynthesis in higher plants, oxygen is produced