Questions 71–80 of 201. Imported answers require independent review unless marked reviewed.

Topic practice 201 questionsPage 8 of 21

Question 58

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If

, the value of

is __________.

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Question 59

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If

, the value of

at

is __________.

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Question 60

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If f(2) = 5 and (f(x))(f(x+1)) = 3 for all real values of x, the value of f(10) is __________.

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Question 61

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Ten playing cards numbered 1, 2, 3, ..., 10 are placed face down on a table. One card is drawn at random, its number recorded, and then replaced face down. A card is drawn again at random. The probability that the number on the second draw is greater than the number on the first draw (rounded off to two decimal places) is __________.

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Question 62

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The values of the consistency index ‘K’ and the flow behavior index ‘n’ of a dilatant fluid are 0.415 (in CGS units) and 1.23, respectively. The value of the apparent viscosity (in

) of this fluid at a shear rate of

(rounded off to the nearest integer) is ____________.

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Question 63

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An evaporator is insulated using glass wool material of 0.15 m thickness. The inner most surface and the outer surface of the insulation are at 700 °C and 80 °C, respectively. The mean thermal conductivity of the glass wool under these conditions is 0.29 W m

K

. The rate of heat loss (in W) through 1.2 m

of the evaporator wall surface (rounded off to the nearest integer) is ____________.

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Question 64

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A proportional controller is used to control the temperature of an autoclave from 60 °C to 130 °C. If the proportional band setting of the controller is 25%, the proportional gain value is ____________.

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Question 65

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A dNTP master-mix is prepared by combining 40 μL of each 20 mM dNTP stock (dATP, dCTP, dGTP and dTTP). 4 μL of this dNTP master-mix is added to a PCR mix and the final volume is adjusted to 50 μL. The concentration (in μM) of total dNTPs in the PCR mix is ____________.

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Question 27

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Assuming independent assortment and no recombination, the number of different combinations of maternal and paternal chromosomes in gametes of an organism with a diploid number of 12 is ________________.

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Question 28

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A microorganism is grown in a batch culture using glucose as a carbon source. The apparent growth yield is 0.5

. The initial concentrations of biomass and substrate are 2 g L

and 200 g L

, respectively. Assuming that there is no endogenous metabolism, the maximum biomass concentration that can be achieved is ________________ g L

.

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