QUESTION ID:1
QUESTION ID:2
If two distinct non-zero real variables 𝑥 and 𝑦 are such that (𝑥+𝑦) is proportional to (𝑥−𝑦) then the value of
QUESTION ID:3
QUESTION ID:4
The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is
QUESTION ID:5
For positive non-zero real variables 𝑝 and 𝑞, if log (𝑝2+𝑞2)= log𝑝+log𝑞+2log3 , then, the value of
QUESTION ID:6
In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks. Steve was advised to keep his head (i) before heading (ii) to bat; for, while he had a head (iii) batting, he could only do so with a cool head s (iv) his shoulders.
QUESTION ID:7
QUESTION ID:8
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.
The typical energy density (kcal/g) of these macronutrients is given in the table.
The total fat (all three types), in grams, this person consumes is
QUESTION ID:9
A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
QUESTION ID:10
The least number of squares to be added in the figure to make AB a line of symmetry is
QUESTION ID:11
In adsorption chromatography, the adsorption of uncharged solute molecules onto a silica-based stationary phase is by ________.
QUESTION ID:12
The transfer function of a process is 𝐺(𝑠)= where 𝐾𝑝 is the gain and t𝑝 is the time constant. This is a ________ process
QUESTION ID:13
Which one of the following statements is correct in the context of thermodynamics ?
QUESTION ID:14
Which one of the following statements is correct about Reynolds Number (𝑁𝑅𝑒) in a stirred tank bioreactor?
QUESTION ID:15
The relationship that involves the exchange of nutrients between two different species for their mutual growth is called ________.
QUESTION ID:16
Mendel’s ‘law of segregation’ applies to the segregation of ________ during gamete formation
QUESTION ID:17
Co-translational translocation of proteins is observed in ________
QUESTION ID:18
2-mercaptoethanol breaks the ________ covalent bond between light and heavy chains of an immunoglobulin molecule
QUESTION ID:19
During normal embryonic development of the mice paw, elimination of cells from the inter-digital space is due to ________
QUESTION ID:20
A cultured skin fibroblast cell of a goat ‘P’ was fused with an enucleated ovum of a goat ‘Q’. The resultant activated early embryo was then transplanted into a pseudopregnant (surrogate) female goat ‘R’ of the same strain as ‘Q’. On completion of gestation, a female goat ‘S’ was born. With the exception of mitochondrial DNA, ‘S’ is a clone of ________
QUESTION ID:21
Which one of the following bacteriophages has a genome composed of single stranded circular DNA?
QUESTION ID:22
Which one of the following is an insect cell line?
QUESTION ID:23
Which one of the following is the basic principle of Sanger’s DNA sequencing method?
QUESTION ID:24
An element that is present in a nucleotide but not in a nucleoside is ________.
QUESTION ID:25
Krebs (TCA) cycle is ________ pathway
QUESTION ID:26
If a denatured protein of human origin is injected into a rabbit, antibodies generated will recognize the ________ structure of the protein
QUESTION ID:27
All pseudogenes DO NOT code for a ________
QUESTION ID:28
A value of 𝑘 for which the linear equations (𝑘−1)𝑥+3𝑦=0 and 2𝑥+𝑘𝑦=0 have a non-zero solution is ________
QUESTION ID:29
The value of the series 1+ sin𝑥+cos2𝑥+sin3𝑥+⋯ at 𝑥 = is ________
QUESTION ID:30
QUESTION ID:31
The six faces of a cube (die) are numbered as 1, 2, 3, 4, 5 and 6, and it is rolled once. An outcome is the observed number on the top face. If the probability of getting an odd number as an outcome is twice that of an even number, then the probability of getting a number less than 3 is ________
QUESTION ID:32
Let 𝑂𝑅⃗⃗⃗⃗⃗ be the vector that is perpendicular to the vectors 𝑂𝑃⃗⃗⃗⃗⃗ =2𝑖̂−3𝑗̂+𝑘̂ and 𝑂𝑄⃗⃗⃗⃗⃗⃗ =−2𝑖̂+𝑗̂+𝑘̂. If the length of the vector 𝑂𝑅⃗⃗⃗⃗⃗ is 𝛼 √3, then 𝛼 is ________.
QUESTION ID:33
The degree of reduction (reductance) for oxalic acid (𝐶2𝐻2𝑂4) is ________
QUESTION ID:34
If the rate at which E. coli divides is 0.5 h-1, then its doubling time is ________ h
QUESTION ID:35
The decimal reduction time of a microbe during sterilization at 120 C with a first order thermal death rate constant of 1 min-1 will be ________ min (rounded off to 1 decimal place)
QUESTION ID:36
Match the disease (Column I) with its biological vector (Column II)
QUESTION ID:37
Match the industrial enzyme (Column I) with its application (Column II)
QUESTION ID:38
Match the enzyme (Column I) with its corresponding function (Column II)
QUESTION ID:39
Match the item (Column I) with its corresponding use (Column II)
QUESTION ID:40
Match the chemical (Column I) with its use (Column II)
QUESTION ID:41
Match the item in Column I with the corresponding technique in Column II
QUESTION ID:42
Match the genetic disorder (Column I) with its molecular basis (Column II)
QUESTION ID:43
The evolution of wings in bats and insects is an example of ________ evolution
QUESTION ID:44
Which of the following statements is/are correct about an uncompetitive inhibitor of an enzyme?
QUESTION ID:45
Which of the following plant-based secondary metabolites belong(s) to the class of alkaloids?
QUESTION ID:46
Which of the following features help(s) in distinguishing alleles using restriction fragment length polymorphism (RFLP)?
QUESTION ID:47
Which of the following is/are considered as biotic elicitor(s) in plant cell culture?
QUESTION ID:48
Under which of the following conditions, a mammalian somatic cell fails to undergo mitosis during cell cycle?
QUESTION ID:49
Which of the following is/are synthetic auxin(s) that does/do NOT occur naturally?
QUESTION ID:50
QUESTION ID:51
Which of the following conditions induce(s) the expression of β-galactosidase gene in the lac operon?
QUESTION ID:52
Which of the following factors can affect the growth of a microbial culture in a batch cultivation process?
QUESTION ID:53
Under complete cell washout condition in a chemostat with sterile feed, which of the following statements is/are correct?
QUESTION ID:54
Fermentation medium is cooled from 121 C to 30 C in a double pipe heat exchanger. If cold water is flowing in the counter-current direction and is heated from 10 C to 70 C, then the Log-Mean Temperature Difference (LMTD) is ________ C (rounded off to the nearest integer)
QUESTION ID:55
QUESTION ID:56
Ethanol is produced in a 10,000 L stirred bioreactor using an impeller of diameter 1 m. The density and viscosity of fermentation broth are 1000 kg m-3 and 1 cp, respectively. The data relating the Power number and Impeller Reynolds number is given below:
Reynolds number 1-5 5-500 > 105
Power number 70 10 5
Using the above data, the power required for the stirrer to operate at 300 rpm is ________ kW (Answer in integer)
QUESTION ID:57
The free energy change of ATP hydrolysis at 25 C is -32.2 kJ mol-1. The free energy change for hydrolysis of α-glycerophosphate to glycerol is -8.2 kJ mol-1 at 25 C. Using the above information, the free energy change for the formation of α-glycerophosphate from glycerol and ATP is ________ kJ mol-1 (Answer in integer)
QUESTION ID:58
E. coli is inoculated in a shake flask containing nutrient rich medium. The initial number of viable cells in the medium is 102. After few hours, the number of viable cells is 106. Assuming cell divides by binary fission, the number of generations that have taken place is ________ (rounded off to the nearest integer)
QUESTION ID:59
QUESTION ID:60
QUESTION ID:61
QUESTION ID:62
If 𝑣 = is an eigenvector of the matrix
corresponding to the non-zero eigenvalue, 𝜆, then the value of 𝜆 is ________.
QUESTION ID:63
The value of the limit lim In
is _______
QUESTION ID:64
Let 𝑦(𝑥)=𝑥2ln𝑥 for 𝑥>0, be a solution of 𝑥2
Then the value of 𝛼 is ________
QUESTION ID:65
The absolute relative error in evaluating the integral ∫0 𝑥2𝑑𝑥 by the trapezoidal rule with the step size 0.25 is ________ % (rounded off to 2 decimal places)