"He often ____ the numbers. False claims are not going to help. Honesty ____ trust", said the manager. Choose the option with the correct order of words to fill the blanks.
GATE→2026→General Aptitude→Quantitative Aptitude
Q2
MCQ[1 Mark]
In the sequence of tiles shown below, the missing tile indicated by the question mark should be:
GATE→2026→General Aptitude→Quantitative Aptitude
Q3
MCQ[1 Mark]
A school has 100 students distributed among 1st to 10th standards. Based on this, which one of the following statements is always correct?
GATE→2026→General Aptitude→Quantitative Aptitude
Q4
MCQ[1 Mark]
How many 3-digit numbers can be formed using three distinct single digit prime numbers?
GATE→2026→General Aptitude→Quantitative Aptitude
Q5
MCQ[1 Mark]
In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is
GATE→2026→General Aptitude→Verbal Ability
Q6
MCQ[2 Marks]
Charity: P :: Retaliation : Q. Choose the appropriate pair of words P and Q that fit the analogy.
GATE→2026→General Aptitude→Quantitative Aptitude
Q7
MCQ[2 Marks]
A paper shown in Panel I is folded along the dashed lines (---) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
GATE→2026→General Aptitude→Quantitative Aptitude
Q8
MCQ[2 Marks]
Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. The figure is representative. All corners are to be colored such that any two corners that are connected by an edge must be of different colors. The minimum number of colors required to achieve this is
GATE→2026→General Aptitude→Quantitative Aptitude
Q9
MCQ[2 Marks]
Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them:
i. Neither H2 nor H3 is the easternmost hill.
ii. Neither H2 nor H3 is the westernmost hill.
iii. Neither the easternmost hill nor the westernmost hill is the southernmost hill.
iv. Two hills are located to the west of H2.
v. The southernmost hill has at least two hills to its east.
The southernmost hill is
GATE→2026→General Aptitude→Quantitative Aptitude
Q10
MCQ[2 Marks]
As shown in the figure, circle C1 with center O1 and radius r1 touches the square VWXY at points P and Q while circle C2 with center O2 and radius r2 touches the square VWXY at points R and S. The two circles touch each other at T. Given r1 = 1 cm and VY = VW = 4 cm, r2 =
Engineering Mathematics
10 Questions
GATE→2026→Engineering Mathematics→Calculus
Q11
MCQ[1 Mark]
Consider the two functions f1(x)=x−2x2−4 and f2(x)=x2−2x+2. Which of the following is the value of (f1(x)+f2(x)) as x→2?
GATE→2026→Engineering Mathematics→Linear Algebra
Q12
MCQ[1 Mark]
Which of the following is one of the eigenvalues for the matrix given below?
[344−3]
GATE→2026→Engineering Mathematics→Calculus
Q13
MCQ[1 Mark]
Which of the following functions has the highest area under the curve between x=0 and x=10?
The equation dx2d2y−y=0 has a solution of the form y=eAx. The value(s) of A satisfying this is/are:
GATE→2026→Engineering Mathematics→Probability and Statistics
Q15
NAT[1 Mark]
The mean of the following series is 0.01, 0.02, 0.03, ......, 1 (rounded off to three decimal places)
GATE→2026→Engineering Mathematics→Linear Algebra
Q16
MSQ[2 Marks]
For the given matrix, which of the statements given below is/are true?
3251−12509
GATE→2026→Engineering Mathematics→Calculus
Q17
NAT[2 Marks]
Consider the equation dxdy=x1. The value of the integral ∫12dy using trapezoidal method and interval h=0.25 (rounded off to two decimal places) is
GATE→2026→Engineering Mathematics→Linear Algebra
Q18
NAT[2 Marks]
If the straight lines given by the following two equations are parallel to each other, the value of a is
4x+7y=6;3ax+42y=24 (answer in integer)
GATE→2026→Engineering Mathematics→Calculus
Q19
NAT[2 Marks]
A straight line y=x−1 intersects a circle with center at x=1, y=1 and radius of magnitude 1 at two points. The length of the chord formed by this intersection is (rounded off to three decimal places)
GATE→2026→Engineering Mathematics→Calculus
Q20
NAT[2 Marks]
From the following plot of dxdy versus x and if y(2)=5, the value of y(3) is (rounded off to one decimal place)
General Biology
13 Questions
GATE→2026→General Biology→Biochemistry
Q21
MCQ[1 Mark]
Which of the following enzyme is involved in the protection of cells from reactive oxygen species?
GATE→2026→General Biology→Microbiology
Q22
MCQ[1 Mark]
In nitrogen fixation, to reduce nitrogen to ammonia, which one of the following shows the correct order of electron flow?
GATE→2026→General Biology→Microbiology
Q23
MCQ[1 Mark]
Which one of the following antibiotics blocks protein chain elongation by preventing the action of peptidyl transferase ?
GATE→2026→General Biology→Biochemistry
Q24
MCQ[1 Mark]
The catalytic efficiency of an enzyme following Michaelis-Menten kinetics is defined by
GATE→2026→General Biology→Biochemistry
Q25
MCQ[1 Mark]
Match the carbohydrates Column I with the correct glycosidic linkages involved in Column II.
**Column I**
P. Amylose
Q. Sucrose
R. Amylopectin
S. Cellulose
**Column II**
1. β(1→4)
2. α(1→4)
3. α1→β2
4. α(1→4), α(1→6)
GATE→2026→General Biology→Biochemistry
Q26
MCQ[1 Mark]
Which one of the following options represents the products of light reactions of photosynthesis in plants?
GATE→2026→General Biology→Biochemistry
Q27
MSQ[1 Mark]
Which of the following drugs inhibit(s) ATP-ADP translocase?
GATE→2026→General Biology→Microbiology
Q28
NAT[1 Mark]
To determine the viable cell count of a bacterial culture, you have plated 50μL of a 100-fold diluted sample of the culture on a nutrient agar plate and obtained 20 colonies after overnight incubation. The viable cell count of the culture is CFU mL−1. (answer in integer)
GATE→2026→General Biology→Biochemistry
Q29
NAT[1 Mark]
Given below is the Gibbs free energy change (ΔG) in kilo Joules per electron equivalent (kJ e−eq−1) at pH 7.0, of organic and inorganic half reactions.
Acetate synthesis: 81CO2+81HCO3−+H++e−→81CH3COO−+83H2OΔG=27.4kJ e−eq−1
Reduction reaction: 41O2+H++e−→21H2OΔG=−78.72kJ e−eq−1
The free energy change of acetate oxidation to CO2, H2O and HCO3− is kJ e−eq−1. (rounded off to two decimal places)
GATE→2026→General Biology→Immunology
Q30
MCQ[2 Marks]
Match the immunological terms in Column I with their function/description in the Column II
**Column I**
P. J gene
Q. Cyclosporin
R. Epitope
S. Hapten
**Column II**
1. Suppresses immune system by blocking calcineurin
2. Antibody binding site on a large molecule
3. Small foreign molecule which elicits an immune response only when combined with a carrier molecule
4. Contributes to antibody diversity
GATE→2026→General Biology→Biochemistry
Q31
MCQ[2 Marks]
Match the biomolecules in Column I with their function given in Column II
**Column I**
P. Lectins
Q. P-glycoprotein
R. Digitoxigenin
S. Mannose 6-phosphate
**Column II**
1. Acts as ATP dependent pump to efflux out small molecules
2. Targets lysosomal enzymes to their destination
3. Specific carbohydrate binding proteins
4. Inhibits Na+−K+ pump
GATE→2026→General Biology→Biochemistry
Q32
MSQ[2 Marks]
An enzyme-catalyzed reaction is found to have ΔG=−100kj mol−1. Which of the following statements about this reaction is/are true?
GATE→2026→General Biology→Biochemistry
Q33
NAT[2 Marks]
The electron equivalent per liter (e−eq L−1) of acetate ion solution of concentration 10 g L−1 is eeq L−1 (rounded off to one decimal place)
Genetics, Cellular and Molecular Biology
7 Questions
GATE→2026→Genetics, Cellular and Molecular Biology→Molecular Biology
Q34
MCQ[1 Mark]
The RNA primer synthesized during bacterial DNA replication is removed by
GATE→2026→Genetics, Cellular and Molecular Biology→Cell Biology
Q35
MSQ[1 Mark]
Which of the following is/are extra-cellular matrix protein(s)?
GATE→2026→Genetics, Cellular and Molecular Biology→Genetics and Evolutionary Biology
Q36
MCQ[2 Marks]
Match the genetic disorders in Column I to the corresponding underlying cause in Column II
**Column I**
P. Klinefelter Syndrome
Q. Turner syndrome
R. Bloom syndrome
S. Xeroderma pigmentosum
**Column II**
1. X-chromosome insufficiency
2. DNA helicase mutations
3. Nucleotide excision repair defects
4. Extra X chromosome(s) in a male
GATE→2026→Genetics, Cellular and Molecular Biology→Molecular Biology
Q37
MSQ[2 Marks]
Messenger RNAs (mRNAs) translate to generate polypeptides and the translation terminates at the UGA, UAG or UAA stop codons. The AGA codon acts as additional stop codon in the mitochondria. The longest possible polypeptide(s) that can be hypothetically translated in the cytosol and/or mitochondria, from the given full length mRNA sequence (36 nucleotides) is/are
5'-AACACCAUGACCCAUGUGGCGAGACGGUAGUUAAAA-3'
GATE→2026→Genetics, Cellular and Molecular Biology→Molecular Biology
Q38
MSQ[2 Marks]
The RNA sequence below depicts the part of a 330 nucleotides long mRNA and it encodes the C-terminal portion of a protein.
5'-......... AAC ACC ACG ACC CAU GUG GCG AGA CGG UAG-3'
A mutation was identified in this RNA denoted as 322AU. This nucleotide change is represented by which of the following class(es) of mutation?
GATE→2026→Genetics, Cellular and Molecular Biology→Molecular Biology
Q39
MSQ[2 Marks]
Which of the following is/are posttranslational modification(s) involved in epigenetic control of gene expression?
GATE→2026→Genetics, Cellular and Molecular Biology→Genetics and Evolutionary Biology
Q40
NAT[2 Marks]
A disease-associated allele shows X-linked recessive inheritance. If the mother is a carrier of the disease, the father is genetically normal and the child born is a son, then the probability that he is born with the disease is (rounded off to one decimal place)
Fundamentals of Biological Engineering
18 Questions
GATE→2026→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q41
MCQ[1 Mark]
The transfer function of a Proportional-Integral (PI) controller GC(s) is given by GC(s)=KC(1+τIs1) where KC is the controller gain, τI is the controller integral time constant and s is the Laplace variable. The role of the integral component of the controller is to
GATE→2026→Fundamentals of Biological Engineering→Bioreaction Engineering
Q42
NAT[1 Mark]
You are characterizing a new enzyme isolated and purified in the laboratory. If the maximum velocity of the enzyme is 1800μmoles L−1min−1 and the total concentration of the enzyme in the reaction mixture is 1.5μM then the turnover number of the enzyme is s−1. (answer in integer)
GATE→2026→Fundamentals of Biological Engineering→Bioreaction Engineering
Q43
NAT[1 Mark]
You have purified an enzyme using a series of chromatographic methods. It was observed that a 10μg mL−1 of this purified enzyme converted 10 mM substrate per hour at 25∘C and pH 7. Its specific activity is IU μg−1. (rounded off to three decimal places)
GATE→2026→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q44
MCQ[2 Marks]
In the open-loop process shown in the figure, the input U(s), the transfer function Gp(s) and the output Y(s) are given in the Laplace domain in terms of the Laplace variable s. For this process, which of the following is true?
(where M, τp, KP, are the magnitude of the input, the characteristic time and the gain for the process, respectively)
U(s)=sM,Gp(s)=τps+1Kp
GATE→2026→Fundamentals of Biological Engineering→Bioreaction Engineering
Q45
MCQ[2 Marks]
By elemental analysis of a biomass sample, it was found that the cells in the given sample are composed of (by weight) C = 50%, H = 8%, O = 20%, N = 10% and ash content = 12%. Which of the following is the correct empirical formula of the ash-free cells, normalized with respect to Nitrogen?
GATE→2026→Fundamentals of Biological Engineering→Bioreaction Engineering
Q46
MSQ[2 Marks]
A microbial culture is being grown in a bioreactor with continuous aeration. The dissolved oxygen probe provided with the system shows a reading of zero. In this context, which of the following inferences is/are correct?
GATE→2026→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q47
MSQ[2 Marks]
For a Newtonian fluid, a plot of shear stress (on Y axis) against shear rate (on X axis) will result in a straight line
GATE→2026→Fundamentals of Biological Engineering→Bioreaction Engineering
Q48
MSQ[2 Marks]
In an aerobic fermentation with air sparging, which of the following options can be used to increase the volumetric mass transfer coefficient for oxygen transfer?
GATE→2026→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q49
MSQ[2 Marks]
For a liquid flowing in a circular cross section pipe, the transition from laminar to turbulent flow will NOT depend on which of the following factor(s)?
GATE→2026→Fundamentals of Biological Engineering→Bioreaction Engineering
Q50
MSQ[2 Marks]
For an ideal plug flow reactor, which of the following statements is/are true?
GATE→2026→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q51
NAT[2 Marks]
A heat exchanger during operation in a bioprocess has a steady temperature of 90∘C. After completion of its operation, it was shut down and it was observed that the rate of decrease of temperature at any time was directly proportional to the difference T(t)−30∘C, where T(t) denotes temperature at time t. It was observed that it took 30 min for the temperature to drop to 70∘C. The temperature after 51.5 min will be ∘C. (rounded off to the nearest integer)
GATE→2026→Fundamentals of Biological Engineering→Bioreaction Engineering
Q52
NAT[2 Marks]
A microbial culture (following Monod model for growth) has a maximum specific growth rate of 0.1 h−1, Monod constant of 1 mg L−1 and endogenous decay rate of 0.1 day−1. At limiting substrate concentration of 23 g L−1, the net specific growth rate will be day−1. (rounded off to one decimal place)
GATE→2026→Fundamentals of Biological Engineering→Bioreaction Engineering
Q53
NAT[2 Marks]
A CSTR with a volume of 100 m3 is operated in cell recycle mode. At a volumetric flow rate of 10 m3day−1 and effluent biomass of 20 mg L−1, the steady state biomass concentration is 200 mg L−1. The mean cell retention time in the reactor is days. (answer in integer)
GATE→2026→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q54
NAT[2 Marks]
A batch sterilizer is being operated at 121∘C for sterilizing a medium containing microbial cells. Assume that the thermal deactivation of cells is a first order process with a death rate constant of 0.69 min−1 at 121∘C. If the initial concentration of microbes in the medium is 1010 cells m−3, the time taken to reduce the microbial load to a final concentration of 10 cells m−3 is min. (rounded off to the nearest integer)
GATE→2026→Fundamentals of Biological Engineering→Bioreaction Engineering
Q55
NAT[2 Marks]
A substrate is consumed in a zero order reaction such that its concentration falls from 42 g L−1 to 14 g L−1 in 4 hours. The total time taken for complete utilization of substrate will be hours. (answer in integer)
GATE→2026→Fundamentals of Biological Engineering→Bioreaction Engineering
Q56
NAT[2 Marks]
A microbe that follows Monod growth kinetics on a limiting substrate (maximum specific growth rate of 0.5 h−1 and Monod constant of 0.1 mg L−1 is cultivated in a continuous reactor for microbial growth (chemostat) with sterile feed. Given that the chemostat volume is 5 L and inlet concentration of limiting substrate is 10 g L−1, the minimum inlet feed flow rate for chemostat washout is h−1. (rounded off to one decimal place)
GATE→2026→Fundamentals of Biological Engineering→Bioreaction Engineering
Q57
NAT[2 Marks]
It is desired to cultivate 150 mg (dry weight) microbial cells with an empirical formula of C5H7O2N. If the phosphorus requirement for the cells is 20% of the nitrogen requirement (on a weight/weight basis), the minimum amount of phosphorous required to be added to the cultivation medium is mg. (rounded off to one decimal place)
GATE→2026→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q58
NAT[2 Marks]
A packed bed bioreactor with length 1 m and inside diameter 10 cm has liquid flowing at an interstitial velocity of 1cm s−1. Given a volumetric flow rate of 0.025L s−1, the void fraction of the packed bed is (rounded off to two decimal places)
Plant, Animal and Microbial Biotechnology
3 Questions
GATE→2026→Plant, Animal and Microbial Biotechnology→Animal Biotechnology
Q59
MCQ[1 Mark]
For monoclonal antibody production, hypoxanthine
GATE→2026→Plant, Animal and Microbial Biotechnology→Microbial Biotechnology
Q60
MCQ[1 Mark]
The correct sequence of the four steps involved in anaerobic production of biogas from complex organics is:
GATE→2026→Plant, Animal and Microbial Biotechnology→Animal Biotechnology
Q61
NAT[2 Marks]
In the process of generating a clonal mammalian cell line, a single cell was seeded in a well of a cell culture plate. After the first 48 hours, one of the progeny cells underwent apoptosis due to a new mutation. If the doubling time of the cells is 24 hours and no more cell death occurs, the total number of cells after a total of 7 days from seeding will be (answer in integer)
Recombinant DNA Technology and Other Tools in Biotechnology
4 Questions
GATE→2026→Recombinant DNA Technology and Other Tools in Biotechnology→Analytical Tools
Q62
MCQ[1 Mark]
Cancer cells display a high level of heterogeneity in the expression of TP53 protein. Which of the following techniques can be directly used to determine the intra-tumoral heterogeneity of TP53 expression in a given tumor sample, without resorting to additional cell separation techniques?
GATE→2026→Recombinant DNA Technology and Other Tools in Biotechnology→Analytical Tools
Q63
MCQ[1 Mark]
Which one of the following proteins would elute third in gel filtration chromatography from a mixture of four proteins given below?
GATE→2026→Recombinant DNA Technology and Other Tools in Biotechnology→Molecular Tools
Q64
MCQ[1 Mark]
Which component of the CRISPR/Cas9 gene editing system is NOT of natural origin?
GATE→2026→Recombinant DNA Technology and Other Tools in Biotechnology→Computational Tools
Q65
MSQ[1 Mark]
BLAST and its extensions can be used to determine similarity of a query protein sequence with which of the following database(s)?