Numerical Computation and Estimation - General Aptitude - General Aptitude (GA) Previous Year Questions

1

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2015

A single subunit enzyme converts 420 μmoles of substrate to product in one minute. The activity of the enzyme is ______ × 10⁻⁶ Katal.

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2

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2015

Which one of the following relations holds true for the specific growth rate (μ) of a microorganism in the death phase?

A

μ = 0

B

μ < 0

C

μ = μ_max

D

0 < μ < μ_max

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3

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2015

In DNA sequencing reactions using the chain termination method, the ratio of ddNTPs to dNTPs should be

A

0

B

< 1

C

1

D

> 1

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4

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2015

Consider the following infinite series: \(1 + r + r^2 + r^3 + \dots \dots \dots \infty\) If \(r = 0.3\), then the sum of this infinite series is ______________

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5

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2015

Oxygen transfer was measured in a stirred tank bioreactor using dynamic method. The dissolved oxygen tension was found to be 80% air saturation under steady state conditions. The measured oxygen tensions at 7 s and 17 s were 55% and 68% air saturation, respectively. The volumetric mass transfer coefficient \(K_La\) is __________ \(s^{-1}\).

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6

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2015

Plasmid DNA (0.5 \(\mu\)g) containing an ampicillin resistance marker was added to 200 \(\mu\)l of competent cells. The transformed competent cells were diluted 10,000 times, out of which, 50 \(\mu\)l was plated on agar plates containing ampicillin. A total of 35 colonies were obtained. The transformation efficiency is __________ \(\times 10^6\) cfu \(\mu\)g\(^{-1}\).

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7

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2015

Saccharomyces cerevisiae produces ethanol by fermentation. The theoretical yield of ethanol from 2.5 g of glucose is __________ g.

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8

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2015

The K_i of a novel competitive inhibitor designed against an enzyme is 2.5 µM. The enzyme was assayed in the absence or presence of the inhibitor (5 µM) under identical conditions. The K_m in the presence of the inhibitor was found to be 30 µM. The K_m in the absence of the inhibitor is ______ µM.

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9

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2015

A synchronous culture containing 1.8 × 10⁵ monkey kidney cells was seeded into three identical flasks. The doubling time of these cells is 24 h. After 24 h, the cells from all the three flasks were pooled and dispensed equally into each well of three 6-well plates. The number of cells in each well will be ______ × 10⁴.

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10

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2015

The standard free energy change (ΔG°′) for ATP hydrolysis is −30 kJ·mole⁻¹. The in vivo concentrations of ATP, ADP and P_i in E. coli are 7.90, 1.04 and 7.90 mM, respectively. When E. coli cells are cultured at 37 °C, the free energy change (ΔG) for ATP hydrolysis in vivo is ______ kJ·mole⁻¹.

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11

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2015

In a fed-batch culture, 200 g·L⁻¹ glucose solution is added at a flow rate of 50 L·h⁻¹. The initial culture volume (at quasi steady state) and the initial cell concentration are 600 L and 20 g·L⁻¹, respectively. The yield coefficient (Y_X/S) is 0.5 g cell mass·g substrate⁻¹. The cell concentration (g·L⁻¹) at quasi steady state at t=8 h is

A

40

B

52

C

60

D

68

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12

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2015

Samples of bacterial culture taken at 5 PM and then the next day at 5 AM were found to have 10⁴ and 10⁷ cells·mL⁻¹, respectively. Assuming that both the samples were taken during the log phase of cell growth, the generation time of this bacterium will be ______ h.

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13

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2015

Biomass is being produced in a continuous stirred tank bioreactor of 750 L capacity. The sterile feed containing 8 g · L⁻¹ glucose as substrate was fed at a flow rate of 150 L · h⁻¹. The microbial system follows Monod's model with μₘ = 0.4 h⁻¹, Kₛ = 1.5 g · L⁻¹ and Yₓ/ₛ = 0.5 g cell mass/g substrate⁻¹. Determine the cell productivity (g · L⁻¹ · h⁻¹) at steady state.

A

0.85

B

0.65

C

0.45

D

0.25

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14

2016 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2016

The binary operation □ is defined as \(a \square b = ab+(a+b)\), where \(a\) and \(b\) are any two real numbers. The value of the identity element of this operation, defined as the number \(x\) such that \(a \square x = a\), for any \(a\), is ______.

A

0

B

1

C

2

D

10

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15

2018 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2018

For \(0 \leq x \leq 2\pi\), \(\sin x\) and \(\cos x\) are both decreasing functions in the interval _______.

A

\((0, \frac{\pi}{2})\)

B

\((\frac{\pi}{2}, \pi)\)

C

\((\pi, \frac{3\pi}{2})\)

D

\((\frac{3\pi}{2}, 2\pi)\)

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16

2018 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2018

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?

A

72

B

73

C

74

D

75

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17

2025 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2025

The sum of the following infinite series is:
\[ \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \frac{1}{5!} + \cdots \]

A

\(\pi\)

B

\(1 + e\)

C

\(e - 1\)

D

\(e\)

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18

2025 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2025

Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?

A

64 \(\frac{6}{11}\)

B

66 \(\frac{5}{13}\)

C

65 \(\frac{5}{11}\)

D

66 \(\frac{6}{13}\)

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19

2012 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2012

The cost function for a product in a firm is given by \(5q^2\), where \(q\) is the amount of production. The firm can sell the product at a market price of ₹50 per unit. The number of units to be produced by the firm such that the profit is maximized is

A

5

B

10

C

15

D

25

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