GATE Biotechnology Mock Test - 3 - GATE Biotechnology MCQ

The solution to the differential equation (cos x) is

In which organelles of plant cells does the process of β-oxidation of fatty acids occur?

The Cartesian coordinates (x, y) of a point A, which has polar coordinates are to be determined.

The arrangement of genes located on a chromosome is displayed below.

Which of the following rearrangements illustrates a paracentric inversion?

Which of the following methods/tools is NOT utilized for the insertion of a foreign gene into a cell?

If  and A^-1 = ,  what is the value of x? (Provide your answer rounded to one decimal place)

A river measures 80 metres in width. The depth d (in metres) and the corresponding distance x (in metres) from one bank are provided below:

What is the estimated area of the river's cross-section (in m²) using the Trapezoidal rule?

Determine the positive value of α for which the function f remains continuous (Round your answer to the nearest integer).

Three balls, which are colored blue, green, and red, are moved one after another from box A to box B in the sequence BLUE-GREEN-RED. What is the probability of transferring the balls back to box A in the same sequence (rounded to two decimal places) ?

The decimal reduction time for a particular bacterial strain is 20 minutes. The specific death rate constant in min⁻¹ (rounded to two decimal places) is ________.

The enzyme α-amylase, which is utilized in the hydrolysis of starch, has an affinity constant (Km) of 0.005 M. To reach a hydrolysis rate that is one-fourth of the maximum, what should be the starch concentration in mM (rounded to two decimal places)?

A function f(x) is defined as f(x)  

Which of the following describes the kinetics of product formation that is not associated with cell growth in a bioprocess system? Here, X and P represent the concentrations of viable cells and the product, respectively.

Pair the enzymes listed in Group I with their respective industrial uses found in Group II.

Pair the separation techniques in Group I with their corresponding characteristics in Group II.

Associate the autoimmune disorders listed in Group I with the respective primary organ affected in Group II.

Pair the genetic disorders listed in Column I with their respective classification categories in Column II.

Associate the bacterial species listed in Column I with their corresponding nutritional modes in Column II.

Assess the validity of the following assertion (A) and reasoning (R).

A: Numerous protozoan strains cannot thrive in the proximity of colonies of Paramecium aurelia.
R: The organism Paramecium aurelia contains cytoplasmic bacteria known as kappa particles.

Align the types of hypersensitivity in Group I with their respective conditions in Group II.
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Which of the following chemical messenger(s) are produced from tryptophan?

In a batch process, if the substrate concentration decreases by 100 g/l and the resulting product P is measured at 80 g/l, what is the percentage of substrate S that has been transformed into product P?
(Give your answer in percentages)

Given that V = xz - x²y y² z², calculate the value of the divergence ∇V at the point (1, 2, 1). Please provide your answer rounded to the nearest integer.

If a triangle has vertices at (k, 0), (2, 0), and (0, -2), and its area is 2 square units, what is the value of k?

In a dihybrid experiment conducted by Mendel, a homozygous pea plant with round yellow seeds was mated with another homozygous plant that had wrinkled green seeds. The resulting 1
F intercross yielded 560 F₂ progeny. How many of these F₂ progeny exhibited both dominant traits (round and yellow)?

A 0.1 mL sample of a bacteriophage stock with a concentration of 9
4 x10⁹ phages mL^-1 is mixed with 0.5 mL of an E. coli culture that has a concentration of 2 x10⁸ cells mL^-1. What is the multiplicity of infection?

In a population with random mating, the alleles Y and y represent the dominant and recessive traits, respectively. If the frequency of the Y allele in both the sperm and egg is 0.70, what is the frequency of Yy heterozygotes (rounded to two decimal places)?