βHe often _____ the numbers. False claims are not going to help. Honesty _____ trustβ, said the manager. Choose the option with the correct order of words to fill the blanks.
a.
exaggerates; engenders
Correct Answer
b.
excels; encourages
c.
aggravates; alleviates
d.
diminishes; eliminates
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Q2mcq
In the sequence of tiles shown below, the missing tile indicated by the question mark should be
a.
b.
Correct Answer
c.
d.
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Q3mcq
A school has 100 students distributed among 1 st to 10 th standards. Based on this, which one of the following statements is always correct?
a.
There are at least 10 students who belong to the same standard.
Correct Answer
b.
There is at least one student in each standard.
c.
There are at most 10 students in 10 th standard.
d.
The total number of students from 1 st to 5 th standards is at least 50.
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Q4mcq
How many 3-digit numbers can be formed using three distinct single digit prime numbers?
a.
64
b.
24
Correct Answer
c.
12
d.
4
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Q5mcq
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 ____
a.
18
b.
20
c.
24
Correct Answer
d.
32
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Q6mcq
Charity: P:: Retaliation: Q Choose the appropriate pair of words P and Q that fit the analogy.
a.
P = Parsimonious; Q = Vengeful
b.
P = Altruistic; Q = Amicable
c.
P = Resentful; Q = Spiteful
d.
P = Magnanimous; Q = Vindictive
Correct Answer
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Q7mcq
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?
a.
Only (i) can correspond to the unfolded cube in Panel I.
Correct Answer
b.
Only (ii) can correspond to the unfolded cube in Panel I.
c.
Both (i) and (ii) can correspond to the unfolded cube in Panel I.
d.
Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.
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Q8mcq
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 ________
a.
8
b.
4
c.
3
d.
2
Correct Answer
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Q9mcq
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 iv. Two hills are located to the west of H2. v. The southernmost hill has at least two hills to its east.
hill. The southernmost hill is ________.
a.
H1
b.
H2
c.
H3
Correct Answer
d.
H4
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Q10mcq
As shown in the figure, circle $C$ 1 with center $O$ 1 and radius $r$ 1 touches the square $VWXY$ at points $P$ and $Q$ while circle $C$ 2 with center $O$ 2 and radius $r$ 2 touches the square $VWXY$ at points $R$ and $S.$ The two circles touch each other at $T.$
Μ Μ Μ Μ Μ = 4 cm, $r$ = _____ cm. Given $r$ = 1 cm and Μ Μ Μ Μ $VY$ = $VW$
2 1
a.
4 - $3\sqrt{2}$
b.
1 + $2\sqrt{2}$
c.
7 - $4\sqrt{2}$
Correct Answer
d.
5 + $3\sqrt{2}$
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Consider the two functions $f$ 1 $(x)$ = and $f$ 2 $(x)$ = $x$ 2 - $2x$ + 2. Which of
$x-2$ the following is the value of $(f$ 1 $(x)$ + $f$ 2 $(x))$ as $x \to$ 2 ?
a.
0
b.
6
c.
8
d.
$\infty$
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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?
a.
Immunoblotting
b.
Flow cytometry
c.
ELISA
d.
Quantitative RT-PCR
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The transfer function of a Proportional-Integral (PI) controller $G C (s)$ is given by
$G C (s)$ = $K C$ (1 +)
1
$Ο I s$ where $K C$ is the controller gain, $Ο I$ is the controller integral time constant and s is the Laplace variable. The role of the integral component of the controller is to ____________.
a.
integrate the difference between the process and manipulated variable
b.
integrate the difference between the set point and disturbance variable
c.
integrate the difference between the set point and the measured variable
d.
integrate the difference between the input and output variable
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You are characterizing a new enzyme isolated and purified in the laboratory. If the maximum velocity of the enzyme is 1800 Β΅moles L -1 min -1 and the total concentration of the enzyme in the reaction mixture is 1.5 Β΅M, then the turnover number of the enzyme is _______ s -1. (answer in integer)
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To determine the viable cell count of a bacterial culture, you have plated 50 Β΅L 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)
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Given below is the Gibbs free energy change (ΞG) in kilo Joules per electron equivalent (kJ e - eq -1) at pH 7.0, of organic and inorganic half reactions. Acetate synthesis: 1 1 1 + - CO + HCO - +H +e $\to$ 3 CH COO - + H O ΞG=27.4 kJ e - -1 8 8 8 2 3 3 2 8
eq Reduction reaction: 1 1 O + H + + e - $\to$ H O ΞG= - -1 4 2 2 2
-78.72 kJ e eq The free energy change of acetate oxidation to CO 2, H 2 O and HCO - 3 is _______ kJ e - eq -1. (rounded off to two decimal places)
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You have purified an enzyme using a series of chromatographic methods. It was observed that a 10 Β΅g mL -1 of this purified enzyme converted 10 mM substrate per hour at 25Β°C and pH 7. Its specific activity is _______ IU Β΅g -1. (rounded off to three decimal places)
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In the open-loop process shown in the figure, the input $U(s),$ the transfer function $G p (s)$ 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 $M, Ο p$, $K P$, are the magnitude of the input, the characteristic time and the gain for the process, respectively)
a.
$y(t)$ = $K p$ (1 - $e -t$ β $Ο p$)
b.
$y(t)$ = $MK p$ (1 - $e -t$ β $Ο p$)
c.
$y(t)$ = $K p (M$ - $e -t$ β $Ο p$)
d.
$y(t)$ = $K p$ (1 - $Me -t$ β $Ο p$)
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Match the immunological terms in Column I with their function/description in the Column II Column I Column II P. J gene 1. Suppresses immune system by
blocking calcineurin Q. Cyclosporin 2. Antibody binding site on a large
molecule R. Epitope 3. Small foreign molecule which elicits
an immune response only when
combined with a carrier molecule S. Hapten 4. Contributes to antibody diversity
a.
P-3; Q-4; R-2; S-1
b.
P-2; Q-4; R-1; S-3
c.
P-4; Q-1; R-2; S-3
d.
P-1; Q-3; R-4; S-2
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Match the genetic disorders in Column I to the corresponding underlying cause in Column II Column I Column II P. Klinefelter Syndrome 1. X-chromosome insufficiency Q. Turner syndrome 2. DNA helicase mutations R. Bloom syndrome 3. Nucleotide excision repair defects S. Xeroderma pigmentosum 4. Extra X chromosome(s) in a male
a.
P-1; Q-3; R-4; S-2
b.
P-4; Q-1; R-2; S-3
c.
P-4; Q-2; R-3; S-1
d.
P-3; Q-2; R-4; S-1
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Match the biomolecules in Column I with their function given in Column II Column I Column II P. Lectins 1. Acts as ATP dependent pump to efflux out
small molecules Q. P-glycoprotein 2. Targets lysosomal enzymes to their
destination R. Digitoxigenin 3. Specific carbohydrate binding proteins S. Mannose 6-phosphate 4. Inhibits Na + -K + pump
a.
P-3; Q-2; R-1; S-4
b.
P-1; Q-3; R-4; S-2
c.
P-2; Q-1; R-3; S-4
d.
P-3; Q-1; R-4; S-2
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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?
a.
C 5.8 H 11.2 O 1.7 N
b.
C 5.0 H 10.2 O 1.1 N
c.
C 6.8 H 12.2 O 2.1 N
d.
C 4.8 H 9.2 O 3.1 N
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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'
a.
7 amino acids long in the cytosol
b.
5 amino acids long in the mitochondria
c.
6 amino acids long in the mitochondria
d.
8 amino acids long in the cytosol
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The RNA sequence below depicts the part of a 330 nucleotides long mRNA and it encodes the C-terminal portion of a protein. 5'-β¦ β¦ β¦ 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?
a.
Missense mutation
b.
Non-sense mutation
c.
Transversion mutation
d.
Silent mutation
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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?
a.
The culture has died due to absence of oxygen
b.
The culture has run out of carbon source
c.
The culture growth becomes oxygen limited
d.
The culture growth is independent of dissolved oxygen
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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?
a.
Using pure oxygen in place of air
b.
Increasing the volumetric flow rate of air
c.
Reducing the bubble diameter
d.
Decreasing the agitation rate
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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)?
a.
The diameter of the pipe
b.
The length of the pipe
c.
The linear velocity of the liquid
d.
The viscosity of the liquid
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Consider the equation =
$dy$ 1
$dx x$
2 $dy$ The value of the integral $\int$ using trapezoidal method and interval β = 0.25
1 is ________. (rounded off to two decimal places)
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If the straight lines given by the following two equations are parallel to each other, the value of a is _____. (answer in integer)
$4x$ + $7y$ = 6; $3ax$ + $42y$ = 24
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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)
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A heat exchanger during operation in a bioprocess has a steady temperature of 90 o 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 o C, where $T(t)$ denotes temperature at time $t.$ It was observed that it took 30 min for the temperature to drop to 70 o C. The temperature after 51.5 min will be_________ o C. (rounded off to the nearest integer)
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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)
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A CSTR with a volume of 100 m 3 is operated in cell recycle mode. At a volumetric flow rate of 10 m 3 day -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)
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The electron equivalent per liter (e - eq L -1) of acetate ion solution of concentration 10 g L -1 is _______ e - eq L -1. (rounded off to one decimal place)
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$dy$ From the following plot of versus $x$ and if y(2) = 5, the value of y(3) is $dx$ ________. (rounded off to one decimal place) 4 3 2 1 0 0 1 2 3
$x$
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A batch sterilizer is being operated at 121 o 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 o C. If the initial concentration of microbes in the medium is 10 10 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)
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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)
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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 ______ L h -1. (rounded off to one decimal place)
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It is desired to cultivate 150 mg (dry weight) microbial cells with an empirical formula of C 5 H 7 O 2 N. 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)
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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)
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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)
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A packed bed bioreactor with length 1 m and inside diameter 10 cm has liquid flowing at an interstitial velocity of 1 cm s -1. Given a volumetric flow rate of 0.025 L s -1, the void fraction of the packed bed is ______. (rounded off to two decimal places)
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