Recent questions tagged gate2018

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1

GATE2018-GA-9
If $x^2 + x – 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$? $1$ $5$ $7$ $9$

gatecse asked in Quantitative Aptitude Feb 20, 2018

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2

GATE2018-GA-8
To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question A was correctly answered by $3,30,000$ candidates. Question B was answered correctly by $2,50,000$ candidates. ... the number answering none, how many candidates failed to clear the test? $30,000$ $2,70,000$ $3,90,000$ $4,20,000$

gatecse asked in Quantitative Aptitude Feb 20, 2018

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3

GATE2018-GA-7
A set of $4$ parallel lines intersect with another set of $5$ parallel lines. How many parallelograms are formed? $2$0$ $48$ $60$ $72$

gatecse asked in Quantitative Aptitude Feb 20, 2018

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4

GATE2018-GA-6
An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at $60$ km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey? $72$ $73$ $74$ $75$

gatecse asked in Quantitative Aptitude Feb 20, 2018

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5

GATE2018-GA-10
In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period $2002$ to $2004$ and a sudden spike from $2004$ to $2005$. In another unrelated study, it was found that the revenue from ... rate. If cracker sale declines, crow birth will decline. Increased birth rate of crows will cause an increase in the sale of crackers.

gatecse asked in Quantitative Aptitude Feb 20, 2018

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6

GATE2018-GA-5
Arrange the following three-dimensional objects in the descending order of their volumes: A cuboid with dimensions $10$ cm, $8$ cm and $6$ cm A cube of side $8$ cm A cylinder with base radius $7$ cm and height $7$ cm A sphere of radius $7$ cm (i), (ii), (iii), (iv) (ii), (i), (iv), (iii) (iii), (ii), (i), (iv) (iv), (iii), (ii), (i)

gatecse asked in Quantitative Aptitude Feb 20, 2018

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7

GATE2018-GA-3
For $0 \leq x \leq 2\pi$, $\sin x$ and $\cos x$ are both decreasing functions in the interval __________. $\bigg( 0, \dfrac{\pi}{2} \bigg) \\$ $\bigg( \dfrac{\pi}{2}, \pi \bigg) \\$ $\bigg( \pi, \dfrac{3\pi}{2} \bigg) \\$ $\bigg(\dfrac{3 \pi}{2}, 2 \pi \bigg)$

gatecse asked in Quantitative Aptitude Feb 20, 2018

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8

GATE2018-GA-4
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle? $2$ $4$ $6$ $8$

gatecse asked in Quantitative Aptitude Feb 20, 2018

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9

GATE2018-GA-2
In spite of being warned repeatedly, he failed to correct his _________ behaviour." The word that best fills the blank in the above sentence is rational reasonable errant good

gatecse asked in Verbal Aptitude Feb 20, 2018

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10

GATE2018-GA-1
"When she fell down the __________, she received many __________ but little help." The words that best fill the blanks in the above sentence are stairs, stares stairs, stairs stares, stairs stares, stares

gatecse asked in Verbal Aptitude Feb 20, 2018

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11

GATE2018-55
A rod shaped bacterium has a length of $2 \: \mu m$, diameter of $1 \mu m$ and density the same as that of water. If proteins constitute $15 \%$ of the cell mass and the average protein has a mass of $50$ kDa, the number of proteins in the cell is __________ ($1$ Da $= 1.6 \times 10^{-24}$g)

gatecse asked in Biochemistry Feb 20, 2018

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12

GATE2018-54
The product of complete digestion of the plasmid shown below with EcoRI and HaeIII was purified and used as a template in a reaction containing Klenow fragment of DNA polymerase, dNTPs and $[\alpha -^{32}P]$-dATP in a suitable reaction buffer. ... and subjected to gel electrophoresis followed by autoradiography. The number of bands that will appear on the X-ray film is _____________

gatecse asked in Recombinant DNA technology and Other Tools in Biotechnology Feb 20, 2018

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13

GATE2018-53
Consider a simple uni-substrate enzyme that follows Michaelis-Menten kinetics. When the enzyme catalyzed reaction was carried out in the presence of $10$ nM concentration of an inhibitor, there was no change in the maximal velocity. However. the slope of the Lineweaver-Burk plot increased $3$-fold. The dissociation constant for the enzyme-inhibitor complex (in nM) is ____________

gatecse asked in Biochemistry Feb 20, 2018

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14

GATE2018-52
First order deactivation rate constants for soluble and immobilized amyloglucosidase enzyme are $0.03 \text{ min}^{-1}$ and $0.005 \text{ min}^{-1}$, respectively. The ratio of half-life of the immobilized enzyme to that of the soluble enzyme is (rounded off to the nearest integer) ___________

gatecse asked in Biochemistry Feb 20, 2018

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15

GATE2018-51
Consider the following alignment of two DNA sequences:$\mathbf{AGTAAC} \\ \mathbf{AA}\text{- -}\mathbf{AC}$Assuming an affine gap scoring scheme of an identity matrix for substitution, a gap initiation penalty of $1$ and a gap extension penalty of $0.1$, the score of the alignment is (up to one decimal place) __________

gatecse asked in Bioinformatics Feb 20, 2018

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16

GATE2018-50
At the end of a batch culture, glucose solution is added at a flow rate of $200 \: ml/h$. If the culture volume after $2$ h of glucose addition is $1000$ ml, the initial culture volume (in ml) is _________

gatecse asked in Bioprocess Engineering and Process Biotechnology Feb 20, 2018

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17

GATE2018-49
Yeast converts glucose to ethanol and carbon dioxide by glycolysis as per the following reaction: $C_6H_{12}O_6 \to 2C_2H_5OH + 2CO_2$Assuming complete conversion, the amount of ethanol produced (in $g$) from $200 \: g$ of glucose is (up to two decimal places) ____________

gatecse asked in Biochemistry Feb 20, 2018

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18

GATE2018-48
Mammalian cells in active growth phase were seeded at a density of $1 \times 10^5$ cells/ml. After $72$ hours, $1 \times 10^6$ cells/ml were obtained. The population doubling time of the cells in hours is (up to two decimal places) ________________

gatecse asked in Microbiology Feb 20, 2018

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19

GATE2018-47
In a chemostat, the feed flow rate and culture volume are $100$ ml/h and $1.0$ L, respectively. With glucose as substrate, the values of $\mu_{\text{max}}$ and $K_s$ are $0.2 \: h^{-1}$ and $1 \: g/L$, respectively. For a glucose concentration of $10 \: g/L$ in the feed, the effluent substrate concentration (in $g/L$) is _______

gatecse asked in Biochemistry Feb 20, 2018

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20

GATE2018-43
If $1+r + r^2+ r^3 +\dots \infty = 1.5$, then, $1 + 2r + 3r^2 + 4r^3 + \dots \infty = $ (up to two dcimal places) ________

gatecse asked in Calculus Feb 20, 2018

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21

GATE2018-42
The probability distribution for a discrete random variable $X$ is given below. $\begin{array}{|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 \\ \hline P(X) & 0.3 & 0.4 & 0.2 & 0.1 \\ \hline \end{array}$The expectation value of $X$ is (up to one decimal place) _____________

gatecse asked in Probability and Statistics Feb 20, 2018

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22

GATE2018-41
Calculate the following integral (up to two decimal places) $\displaystyle \int_0^1 (x + 3)(x + 1)dx = \text{ ___________}$

gatecse asked in Calculus Feb 20, 2018

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23

GATE2018-46
A microbial strain is cultured in a $100$ L stirred fermenter for secondary metabolite production. If the specific rate of oxygen uptake is $0.4 \: h^{-1}$ and the oxygen solubility in the broth is $8 $ ... $s^{-1}$) of oxygen required to achieve a maximum cell concentration of $12$ g/L is (up to two decimal places) ___________

gatecse asked in Bioprocess Engineering and Process Biotechnology Feb 20, 2018

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24

GATE2018-45
An aqueous solution containing $6.8$ mg/L of an antibiotic is extracted with amyl acetate. If the partition coefficient of the antibiotic is $170$ and the ratio of water to solvent is $85$, then the extraction factor is ________

gatecse asked in Bioprocess Engineering and Process Biotechnology Feb 20, 2018

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25

GATE2018-44
Moist heat sterilization of spores at $121 ^\circ C$ follows first order kinetics as per the expression: $\dfrac{dN}{dt}=-k_dN$ where, $N$ is the number of viable spores, $t$I is the time, $k_d$ is the rate constant and $\dfrac{dN}{dt}$ is the rate of ... the number of viable spores from an initial value of $10^{10}$ to a final value of $1$ is (up to two decimal places) __________

gatecse asked in Bioprocess Engineering and Process Biotechnology Feb 20, 2018

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26

GATE2018-40
$5'$ capping of mRNA transcripts in eukaryotes involves the following events: Addition of GMP on the $5'$ end Removal of $\gamma$-phosphate of the triphosphate on first base at the $5'$ end $5'-5'$ linkage between GMP and the first base at $5'$ end Addition of methyl group to $N7$ position ... the following is the correct sequence of events? P, Q, R, S P, R, Q, S Q, P, R, S Q, P, S, R

gatecse asked in Molecular Biology and Genetics: Feb 20, 2018

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27

GATE2018-39
Match the industrial products mentioned in Group I with their producer organisms in Group II ... $\text{P-2, Q- 1, R- 4, S-3}$ $\text{P- 3, Q- 1, R- 4, S-2}$

gatecse asked in Microbiology Feb 20, 2018

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28

GATE2018-38
A pedigree of an inheritable disease is shown below. What type of inheritance does the disease follow? Autosomal dominant X-linked dominant X-linked recessive Autosomal recessive

gatecse asked in Immunology Feb 20, 2018

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29

GATE2018-37
An analysis of DNA-protein interactions was carried out using all DNA-protein complexes in the protein data bank (PDB). The frequency distribution of four amino acid residues, represented as P, Q, R and S, occurring in non-covalent interactions between the protein and DNA backbone is shown below. Which ... Gln, Q-Glu, R-Lys, S-Arg P-Asn, Q-Asp, R-Arg, S-Lys P-His, Q-Glu, R-Gln, S-Lys

gatecse asked in Bioinformatics Feb 20, 2018

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30

GATE2018-36
Shear stress versus shear rate behavior of four different types of fluids (I, II, III and IV) are shown in the figure below. Which one of the following options is correct? I-Newtonian, II-Bingham plastic, III-Dilatant, IV-Pseudoplastic I- ... -Bingham plastic I-Newtonian, II-Pseudoplastic, III-Bingham plastic, IV-Dilatant I-Newtonian, II-Bingham plastic, III-Pseudoplastic, IV-Dilatant

gatecse asked in Bioprocess Engineering and Process Biotechnology Feb 20, 2018

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31

GATE2018-35
Which of the following are true with regard to anaerobic respiration in bacteria? The final electron acceptor is an inorganic substance other than molecular oxygen The number of ATP molecules produced per glucose molecule is more than that produced in aerobic respiration The number of ATP ... phosphorylation is used to generate ATP P and S only Q and S only P and R only P, Q and S only

gatecse asked in Biochemistry Feb 20, 2018

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32

GATE2018-34
Which of the following are true about bacterial superoxide dismutase? Present in obligate aerobes Present in facultative anaerobes Present in aerotolerant anaerobes Absent in obligate aerobes P and Q only P, Q and R only P and R only Q and S only

gatecse asked in Microbiology Feb 20, 2018

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33

GATE2018-33
Which one of the following statements is true with regard to processing and presentation of protein antigens? In the class II MHC pathway, protein antigens in the cytosol are processed by proteasomes In the class I MHC pathway, extracellular protein ... generated in the cytosol Invariant chain in endoplasmic reticulum is involved in transport of peptides and loading of class I MHC

gatecse asked in Immunology Feb 20, 2018

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34

GATE2018-32
Which one of the combinations of the following statements is true about antibody structure? Limited proteolysis of rabbit IgG with the enzyme pepsin generates two antigen-binding regions (Fab) and an Fc fragment. Limited proteolysis of rabbit IgG with the enzyme papain generates a single ... composed of both light and heavy chains. P and Q only P and R only R and S only Q and S only

gatecse asked in Immunology Feb 20, 2018

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35

GATE2018-31
Determine the correctness or otherwise of the following Assertion [a] and the Reason [r]: Assertion: The association constant in water for the G-C base pair is three times lower than that for the A-T base pair. Reason: There are three hydrogen bonds in the G-C base pair and two in ... is true Both [a] and [r] are false Both [a] and [r] are tme and [r] is not the correct reason for [a]

gatecse asked in Molecular Biology and Genetics: Feb 20, 2018

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36

GATE2018-30
Which one of the following amino acids is catalyzed by activated macrophages to produce reactive nitrogen species? Arginine Asparagine Cysteine Histidine

gatecse asked in Immunology Feb 20, 2018

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37

GATE2018-29
Determine the correctness or otherwise of the following Assertion [a] and the Reason [r] Assertion: Ab initio gene finding algorithms that predict protein coding genes in eukaryotic genomes are not completely accurate. Reason: Eukaryotic splice sites are difficult to predict. Both [a] and [ ... correct reason for [a] Both [a] and [r] are true but [r] is not the correct reason for [a]

gatecse asked in Bioinformatics Feb 20, 2018

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38

GATE2018-28
Match the classes of RNA molecules in $\text{Group I}$ with their functions in $\text{Group II}$ ... $\text{P-1, Q-4, R-5, S-2}$ $\text{P-4, Q-1, R-2, S-5}$

gatecse asked in Recombinant DNA technology and Other Tools in Biotechnology Feb 20, 2018

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39

GATE2018-22
The variable $z$ has a standard normal distribution. If $P(0 \leq z \leq 1)= 0.34$ then $P(z^2 > 1)$ is equal to (up to two decimal places) ____________

gatecse asked in Probability and Statistics Feb 20, 2018

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40

GATE2018-21
The determinant of the matrix $\begin{pmatrix} 4 & -6 \\ -3 & 2 \end{pmatrix}$ is _________

gatecse asked in Linear Algebra Feb 20, 2018

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