GATE BT 2023 Question Paper & Solutions

Verbal Aptitude

"You are delaying the completion of the task. Send _______ contributions at the earliest."

Verbal Aptitude

References : ______ : : Guidelines : Implement (By word meaning)

Analytical & Spatial Aptitude

In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.)

Verbal Aptitude

In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college. Based only on the above information, which one of the following statements can be logically inferred with certainty?

Analytical & Spatial Aptitude

A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry? (The figure is representative)

Analytical & Spatial Aptitude

Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement " Some human beings are not cruel creatures" is FALSE, then which of the following set of statement(s) can be logically inferred with certainty? (i) All human beings are cruel creatures. (ii) Some human beings are cruel creatures. (iii) Some creatures that are cruel are human beings. (iv) No human beings are cruel creatures.

Quantitative Aptitude

To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2. If the total cost of the mixture is Rs. 1000, what is the cost of cement used?

Verbal Aptitude

The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place. In a statement, the World Bank said Sr i Lanka needed to adopt structural reforms that focus on economic stabilisation and tackle the root causes of its crisis. The latter has starved it of foreign exchange and led to shortages of food, fuel, and medicines. The bank is repurposing resources under existing loans to help alleviate shortages of essential items such as medicine, cooking gas, fertiliser, meals for children, and cash for vulnerable households. Based only on the above passage, which one of the following statements can be inferred with certainty?

Quantitative Aptitude

The coefficient of x4 in the polynomial (x - 1)3(x - 2)3 is equal to _______.

Quantitative Aptitude

Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.

DNA replication, transcription, translation

Eukaryotic transcription is carried out by

Mass transfer in bioprocesses (kLa)

Acetylcholine released by the parasympathetic nerves has which one of the following functions in the heart pacemaker cells?

Biomolecules, enzyme kinetics

Determine the correctness or otherwise of the following Assertion [a] and the Reason [r]. Assertion [a]: In multicellular organisms, cells of different lineages have different gene expression profiles. Reason [r]: Alternative splicing is the only mechanism to generate protein diversity.

Bioreactor types, scale-up

Determine the correctness or otherwise of the following Assertion [a] and the Reason [r]. Assertion [a]: Chromosome mutations can change the structure of chromosomes. Reason [r]: All chromosome mutations arise due to nondisjunction of chromosomes during mitosis or meiosis.

Biomolecules, enzyme kinetics

C-value paradox in evolutionary genomics refers to:

DNA replication, transcription, translation

Which one of the following drugs is NOT an immune checkpoint inhibitor?

Downstream processing (chromatography, filtration)

Dendritic cells are involved in cross-presentation of antigens. Which of the following protein(s) is(are) required for cross-presentation? P. Basic leucine zipper ATF-like transcription factor 3 (BATF3) Q. Membrane associated ring-CH-type finger 1 (MARCH-1) R. Solute carrier family 10 member 1 (SLC10A1) S. Class II-associated invariant chain peptide (CLIP)

Cell structure and signaling

Which one of the following is required for the development of B-cells in the bone marrow?

Biomolecules, enzyme kinetics

Which one of the following statements is TRUE about leghemoglobin?

Downstream processing (chromatography, filtration)

Fabry disease in humans is an X-linked recessive disease. The probability (in percentage) for a phenotypically normal father and a carrier mother to have a son with Fabry disease is ________%.

Linear Algebra

Intracellular proteins are targeted for proteolytic degradation in proteasomes upon conjugation with

Biomolecules, enzyme kinetics

In ELISA, which of the following enzymes are conjugated to antibodies for detection of the analyte? P. Alkaline phosphatase Q. Trypsinase R. Horseradish peroxidase S. Amylase

Mass transfer in bioprocesses (kLa)

In hybridoma technology, which one of the following enzymes is absent in the myeloma cells that are used for monoclonal antibody production?

Recombinant DNA technology

Which of the following methods are used for detection of DNA and RNA, respectively?

DNA replication, transcription, translation

Match the types of RNA in Group I with their corresponding function in Group II. Group I Group II P. mRNA 1. Serves as adaptors between mRNA and amino acids during protein synthesis Q. rRNA 2. Regulates post-transcriptional gene expression R. miRNA 3. Codes for proteins S. tRNA 4. Forms the core of the ribosome structure and catalyzes protein synthesis

Linear Algebra

Which one of the following programs is used for finding distantly related (or remote) protein homologs?

Biomolecules, enzyme kinetics

Which one of the following is used for global alignment of two protein sequences?

Mass transfer in bioprocesses (kLa)

Which one of the following methods CANNOT be used to determine the secondary structure content of a protein?

Mass transfer in bioprocesses (kLa)

Which one of the following plant growth regulators facilitate adventitious root formation?

Probability and Statistics

A double reciprocal Lineweaver-Burk plot of an uninhibited enzyme catalyzed reaction has a y-intercept of 0.2 (µmol/min)^-1 and an x-intercept of -0.5 mM^-1. The value of Vmax in µmol/min is ________.

Calculus

The value of 20 cos 2 cos 4lim x xx x→ -  is ____________.

Biomolecules, enzyme kinetics

A series (S) is given as S = 1 + 3 + 5 + 7 + 9 + …… The sum of the first 50 terms of S is ____________.

Probability and Statistics

Two fair six-sided dice are thrown. The probability of getting 12 as the product of the numbers on the dice (rounded off to two decimal places) is ____________.

Biomolecules, enzyme kinetics

If 37 216x = , the value of 7 x- (rounded off to three decimal places) is ____________.

Biomolecules, enzyme kinetics

The distance between the two points of intersection of 2 7xy+= and 7xy+= (rounded off to two decimal places) is ____________.

Cell structure and signaling

Match the immune tolerance mechanisms in Group I with their respective outcomes in Group II. Group I Group II P. Anergy 1. Elimination of activated T-cells after antigen clearance Q. Activation-induced cell death 2. Inhibition of auto-reactive T-cells at periphery R. Receptor editing 3. Unresponsiveness to antigens due to lack of co-stimulatory molecules S. Regulatory T-cells 4. Elimination of auto-reactive B-cells

Biomolecules, enzyme kinetics

Match the type of bacteria in Group I with their respective growth properties in Group II. Group I Group II P. Halophile 1. Grows optimally between 20 ℃ and 45 ℃ Q. Piezophile 2. Grows best at low water activity R. Mesophile 3. Grows at high level of salt S. Xerophile 4. Grows optimally at high hydrostatic pressure

Mass transfer in bioprocesses (kLa)

Match the virus in Group I with the type of genome it contains in Group II. Group I Group II P. T4 bacteriophage 1. dsRNA Q. SARS-CoV-2 2. ssDNA R. Pseudomonas phage 6 3. dsDNA S. X174 bacteriophage 4. ssRNA

Classical Genetics and Epistasis

The event(s) that lead(s) to inactivation of tumor suppressor genes in cancer cells is(are)

DNA replication, transcription, translation

Methylation of CpG islands near the promoter of a gene can inhibit transcription by

DNA replication, transcription, translation

Which of the following statement(s) is(are) TRUE about induced pluripotent stem cells?

DNA replication, transcription, translation

Which of the following statement(s) is(are) TRUE about fluoroquinolone drugs?

Downstream processing (chromatography, filtration)

Which of the following is(are) plant protoplast fusogenic agent(s)?

Downstream processing (chromatography, filtration)

Direct DNA transfer method(s) used for plant genetic engineering is(are)

CRISPR-Cas9 gene editing

Which of the following vector(s) is(are) used to clone a DNA fragment of size 220 kb?

Bioreactor types, scale-up

The following reaction represents biomass synthesis from hexadecane 16 34 2 3 1.66 0.27 0.27 2 212.5 2.13 10.6 5.37 11.4C H O NH CH O N CO H O+ + → + + where 1.66 0.27 0.27CH O N represents the biomass. The value of respiratory quotient (rounded off to two decimal places) is ___________.

Biomolecules, enzyme kinetics

Temperature of a reaction with an activation energy value of 115 .kcal mol - is increased from 300 K to 310 K. If the value of the ideal gas constant (R) is 111.9872 . .cal mol K-- , the ratio of the reaction rate constants 310 300 k k  (rounded off to two decimal places) is ___________.

Bioreactor types, scale-up

E. coli is cultivated in a chemostat operated at a dilution rate of 10.2 h- . The values of biomass yield due to oxygen consumption and the steady state biomass concentration are 10.2 .gg - and 110 .gL - , respectively. The oxygen transfer rate (in 11..g L h-- ) is ___________.

Biomolecules, enzyme kinetics

Aqueous two-phase extraction is used to recover α-amylase from a solution. A polypropylene glycol-dextran mixture is added and the solution separates into upper and lower phases. The partition coefficient is 4.0 and the ratio of upper to lower phase volume is 5.0. The enzyme recovery or yield (in percentage, rounded off to the nearest integer) is ___________.

Downstream processing (chromatography, filtration)

E. coli cultivated at 298 K uptakes an uncharged compound (A) by passive diffusion. The intracellular and extracellular concentrations of A are 0.001 M and Q.1 M, respectively. If the value of the ideal gas constant R is 111.9872 . .cal mol K-- , the free-energy change (in 1.kcal mol - ) for this passive diffusion of A (rounded off to two decimal places) is ___________.

Mass transfer in bioprocesses (kLa)

If there are three unrooted trees for four protein sequences, the number of rooted trees for the same number of sequences is ___________.

Biomolecules, enzyme kinetics

The number of different possible ways of forming five intramolecular disulfide bonds with ten cysteine residues of a protein is ___________.

Bioreactor types, scale-up

The following schematic diagram shows a chemostat with cell recycle where F0 and Fr are the volumetric flow rates (in 1.Lh - ) of feed and recycle streams, respectively. X1, X0 and X are the cell concentrations (in 1.gL - ) in the reactor, recycle-stream and product-stream, respectively. If 0 10 1.5, 0.7rX F XF== and X1 is 17.3 .gL - , the value of X (in 1.gL - , rounded off to one decimal place) is ___________.

Biomolecules, enzyme kinetics

An enzyme (E) catalyzes the biochemical reaction AB→ with catk equal to 1500 s- . If the initial reaction velocity ( 0V ) is 110 . Ms - at the total enzyme concentration [ tE ] of 30 nM and substrate concentration [A] of 40 M , the value of mK (in M ) is ____________.

Biomolecules, enzyme kinetics

DNA sample collected from an unidentified bacterial species (Y) contains 13% of adenine. The G+C content (in percentage) of Y is ___________.

Biomolecules, enzyme kinetics

If 1000 bp of a double-helical DNA weighs 181 10 - gm and distance between two bp is Q.34nm , the total amount of DNA (in mg, rounded off to one decimal place) required to stretch from Earth to Moon (assuming the distance between Earth and Moon to be 3,74,000 km) is ___________.

Biomolecules, enzyme kinetics

A protein has three identical sites arranged at the vertices of an equilateral triangle. If one site is filled with a dye (donor), the measured quantum yield ( D ) is 0.5. Filling one site with a donor dye and a second site with an acceptor dye results in D of 0.25. The measured D of one site filled with donor and the other two sites filled with acceptor dye (rounded off to three decimal places) is ___________.

Linear Algebra

If 12 35A = , the value of 42 3 5 6A A A I+ - + is ___________.

Calculus

If sin cos() sin cos xxfx xx += - , the value of ()fx at 0x= is ___________.

Biomolecules, enzyme kinetics

If (2) 5f = and ( ( ))( ( 1)) 3f x f x += for all real values of x , the value of (10)f is ___________.

Biomolecules, enzyme kinetics

Ten playing cards numbered 1, 2, 3, …., 10 are placed face down on a table. One card is drawn at random, its number recorded, and then replaced face down. A card is drawn again at random. The probability that the number on the second draw is greater than the number on the first draw (rounded off to two decimal places) is ___________.

Biomolecules, enzyme kinetics

The values of the consistency index ' K ' and the flow behavior index ' n ' of a dilatant fluid are 0.415 (in CGS units) and 1.23, respectively. The value of the apparent viscosity (in 11..g cm s-- ) of this fluid at a shear rate of 160 s- (rounded off to the nearest integer) is ___________.

Biomolecules, enzyme kinetics

An evaporator is insulated using glass wool material of 0.15 m thickness. The inner most surface and the outer surface of the insulation are at 700 C and 80 C , respectively. The mean thermal conductivity of the glass wool under these conditions is 110.29 . .W m K-- . The rate of heat loss (in W ) through 21.2 m of the evaporator wall surface (rounded off to the nearest integer) is __________.

Biomolecules, enzyme kinetics

A proportional controller is used to control the temperature of an autoclave from 60 C to 130 C . If the proportional band setting of the controller is 25%, the proportional gain value is __________.

CRISPR-Cas9 gene editing

A dNTP master-mix is prepared by combining 40 L of each 20mM dNTP stock (dATP, dCTP, dGTP and dTTP). 4 L of this dNTP master-mix is added to a PCR mix and the final volume is adjusted to 50 L . The concentration (in M ) of total dNTPs in the PCR mix is __________. END OF QUESTION PAPER