1
The ratio of boys to girls in a class is $7$ to $3$. Among the options below, an acceptable value for the total number of students in the class is $21$ $37$ $50$ $73$
2
A system consists of two reactors, connected by a valve. The first reactor $(R1)$ contains an ideal gas $A$ of volume $5\: L$ and the second reactor $(R2)$ has an ideal gas $B$ of volume $10\: L$. Initially, the valve is closed and ... equilibrium. If the temperature $T$ of both the reactors is maintained constant, the final equilibrium pressure in $\textit{atm}$ of the system is _____________
3
A polygon is convex if, for every pair of points, $P$ and $Q$ belonging to the polygon, the line segment $PQ$ lies completely inside or on the polygon. Which one of the following is $\underline {\text{NOT}}$ a convex polygon?
4
Consider the following sentences: Everybody in the class is prepared for the exam. Babu invited Danish to his home because he enjoys playing chess. Which of the following is the $\text{CORRECT}$ observation about the above two sentences? $\text{(i)}$ is grammatically correct and ... correct and $\text{(ii)}$ is ambiguous $\text{(i)}$ is grammatically incorrect and $\text{(ii)}$ is ambiguous
5
A circular sheet of paper is folded along the lines in the direction shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse order of folding, will look like ________.
6
____________ is to $\textit{surgery}$ as $\textit{writer}$ is to __________ Which one of the following options maintains a similar logical relation in the above sentence? Plan, outline Hospital, library Doctor, book Medicine, grammar
7
We have $2$ rectangular sheets of paper, $M$ and $N$, of dimensions $6$ cm $\times$ $1$ cm each. Sheet $M$ is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet $N$ is cut into equal square patches and assembled to form the largest possible closed cube. ... to that of the cube is _____________ $\frac{\pi}{2}\\$ $\frac{3}{\pi} \\$ $\frac{9}{\pi} \\$ $3 \pi$
8
$\begin{array}{|c|c|c|c|} \hline \textbf{Items} & \textbf{Cost} & \textbf{Profit} \% & \textbf{Marked Price} \\ & (₹) && (₹) \\ \hline P & 5,400 & \dots & 5,860 \\ \hline Q & \dots & 25 & 10,000 \\ \hline \end{array}$ ... $Q$, as a percentage of its marked price, is ___________ $25$ $12.5$ $10$ $5$
9
There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag. The probability that at least two chocolates are identical is _________ $0.3024$ $0.4235$ $0.6976$ $0.8125$
10
Given below are two statements $1$ and $2$, and two conclusions $I$ and $II$. $\text{Statement 1}$: All bacteria are microorganisms. $\text{Statement 2}$: All pathogens are microorganisms. $\text{Conclusion I}$: Some pathogens are bacteria. $\text{Conclusion II}$: All ... is correct Either conclusion $\text{I}$ or $\text{II}$ is correct Neither conclusion $\text{I}$ nor $\text{II}$ is correct
11
Some people suggest anti-obesity measures $\text{(AOM)}$ such as displaying calorie information in restaurant menus. Such measures sidestep addressing the core problems that cause obesity: poverty and income inequality. Which one of the following statements summarizes the ... $\text{AOM}$ are addressing the problem superficially
1 vote
12
Coronavirus genome consists of double-stranded $\text{DNA}$ double-stranded $\text{RNA}$ negative-sense single-stranded $\text{RNA}$ positive-sense single-stranded $\text{RNA}$
13
The enzyme that transcribes the eukaryotic genes encoding precursor ribosomal $\text{RNAs}\; (\text{pre-RNAs}$) of $28S$, $18S$ and $5.8S$ $\text{rRNA}$s is $\text{RNA}$ polymerase $\text{I}$ $\text{RNA}$ polymerase $\text{II}$ $\text{RNA}$ polymerase $\text{III}$ $\text{RNA}$ polymerase $\text{IV}$
14
Number of unrooted trees in a phylogeny of five sequences is $3$ $15$ $105$ $945$
15
Which one of the following methods is used to test the significance of a predicted phylogeny? Bootstrap Maximum likelihood Maximum parsimony Minimum evolution
16
The Cartesian coordinates $(x,y)$ of a point $A$ with polar coordinates $\left ( 4, \pi/4 \right)$ is $\left( \sqrt{3}, 2 \sqrt{2} \right ) \\$ $\left( 2, 2 \sqrt{3} \right ) \\$ $\left( 2\sqrt{2}, \sqrt{3} \right ) \\$ $\left( 2 \sqrt{2}, 2 \sqrt{2} \right )$
17
The order of genes present in a chromosome is as follows Which one of the following rearrangements represents a paracentric inversion?
18
Which one of the following statements is $\text{INCORRECT}$ about hybridoma production? Hybridoma cella can use hypoxanthine and thymidine $\text{DNA}$ synthesis in myeloma cells is blocked by aminopterin Hybridoma cells are made to produce polyclonal antibodies Polyethylene glycol is used to fuse myeloma cells to $B$-cells
19
$\dfrac{d}{dx} \left [ \ln (2x) \right ]$ is equal to $1/2x \\$ $1/x \\$ $1 /2 \\$ $x$
20
Which one of the following techniques/tools is $\text{NOT}$ used for inserting a foreign gene into a cell? $\text{DNA}$ microarray Electroporation Gene gun Microinjection
21
Under standard temperature $(T)$ and pressure $(P)$ conditions, $128 \: g$ of an ideal has molecule $A$ occupies a volume of $1 \: L$. The gas molecule $A$ obeys the relationship $\text{RT=0.25 PV}$. $R$ and $V$ are universal gas constant and ideal gas volume, respectively. The molecule $A$ is $\text{CO}_2$ $\text{H}_2$ $\text{N}_2$ $\text{O}_2$
22
$\text{CRISPR-Cas}$ system is associated with adaptive immunity in eukaryotes adaptive immunity in prokaryotes innate immunity in eukaryotes innate immunity in prokaryotes
23
The process by which intracellular macromolecules are supplied for lysosomal degradation during nutrient starvation is apoptosis autophagy phagocytosis pinocytosis
24
The process and instrumentation diagram for a feedback control strategy to maintain the level $(h)$ of a liquid by regulating a valve $(V)$ in a tank is shown below. $F_1$ is inlet liquid flow rate, $F_2$ is outlet liquid flow rate, $LT$ is the liquid level transmitter, $LC$ ... valve pressure. The manipulating variable(s) is/are $F_1$ only $F_2$ only $h_m$ and $P_v$ only $h_{sp}$ and $P_v$ only
25
A protein without its prosthetic group is known as apoprotein hemoprotein holoprotein lipoprotein
26
The enzyme which adds phosphate group to the free $5’$ terminus of a $\text{DNA}$ sequence is adenosine kinase alkaline phosphatase polynucleotide kinase terminal deoxynucleotidyl transferase
27
Which one of the following is $\text{CORRECT}$ about microbial growth medium? Luria-Bertani broth is a synthetic medium Nutrient broth is a defined medium Sabouraud dextrose agar is a differential medium Trypticase soy agar is a complex medium
28
The cellular process which utilizes $\text{RNA}$-induced silencing complex to block gene expression is $\text{RNA}$ editing $\text{RNA}$ interference $\text{RNA}$ polyadenylation $\text{RNA}$ splicing
29
Which of the following layer(s) is/are formed from the inner cell mass of the blastocyst? Ectoderm Endoderm Mesoderm Trophectoderm
30
Which of the following cell organelle(s) is/are surrounded by a single phospholipid membrane? Golgi apparatus Lysosome Mitochondria Nucleus
31
The sum of the infinite geometric series $1 + 1/3 + 1/3^2+ 1/3^3+ \dots$ (rounded off to one decimal place) is ___________
32
Three balls, colored in blue, green and red, are successively transferred from box $A$ to box $B$ in the order $\text{BLUE-GREEN-RED.}$ The probability of a reverse transfer of the balls to the box $A$ in the same order (rounded off to two decimal places) is ____________
33
Decimal reduction time of a bacterial strain is $20 \textit{ min}$. Specific death rate constant in $\textit{min}^{-1}$ (rounded off to two decimal places) is ___________
34
The value of $\underset{x \to 0} \lim \left [ \dfrac{x- \sin 2x}{x-\sin 5x} \right]$ (rounded off to two decimal places) is __________
35
The enzyme $\alpha$-amylase used in starch hydrolysis has an affinity constant $(K_m)$ value of $0.005 \: M$. To achieve one-fourth of the maximum rate of hydrolysis, the required starch concentration $mM$ (rounded off to two decimal places) is ____________
36
Which one of the following represents non-growth associated product formation kinetics in a bioprocess system? $X$ and $P$ denote viable cell and product concentrations, respectively.
37
Match enzymes in $\text{Group I}$ with their corresponding industrial application in $\text{Group II}$ ... $P-1, Q-3, R-2, S-4$ $P-1, Q-2, R-3, S-4$ $P-1, Q-4, R-2, S-3$
Match separation methods in $\text{Group I}$ with associated properties in $\text{Group II}$ ... $P-3, Q-1, R-2, S-4$ $P-1, Q-3, R-2, S-4$ $P-1, Q-2, R-4, S-3$
Match the autoimmune diseases in $\text{Group I}$ with the corresponding primarily affected organ in $\text{Group II}$ ... $P-3, Q-1, R-2, S-4$ $P-4, Q-2, R-1, S-3$ $P-1, Q-2, R-4, S-3$
Match hypersensitivity types in $\text{Group I}$ with their corresponding condition in $\text{Group II}$ ... $P-3, Q-1, R-4, S-2$ $P-2, Q-3, R-4, S-1$ $P-2, Q-1, R-3, S-4$