Q. What is the significance of the Human Genome Project in biotechnology? (2021)
A.
It helps in cloning animals.
B.
It provides insights into genetic diseases.
C.
It allows for the production of transgenic plants.
D.
It enhances food preservation techniques.
Show solution
Solution
The Human Genome Project has provided valuable information about the human genome, aiding in the understanding and treatment of genetic diseases.
Correct Answer: B — It provides insights into genetic diseases.
Learn More →
Q. What is the significance of the Human Genome Project? (2021)
A.
To map all human genes
B.
To develop new vaccines
C.
To improve agricultural crops
D.
To study animal genetics
Show solution
Solution
The Human Genome Project aimed to map all human genes, providing insights into genetics and disease.
Correct Answer: A — To map all human genes
Learn More →
Q. What is the significance of the light-independent reactions of photosynthesis? (2023)
A.
Produce ATP
B.
Fix carbon dioxide
C.
Generate oxygen
D.
Absorb light energy
Show solution
Solution
The light-independent reactions, or Calvin cycle, are significant for fixing carbon dioxide into organic molecules.
Correct Answer: B — Fix carbon dioxide
Learn More →
Q. What is the significance of the light-independent reactions? (2023)
A.
Produce ATP
B.
Fix carbon dioxide
C.
Release oxygen
D.
Absorb light energy
Show solution
Solution
The light-independent reactions, also known as the Calvin cycle, fix carbon dioxide into organic molecules.
Correct Answer: B — Fix carbon dioxide
Learn More →
Q. What is the significance of the mass defect in a nucleus? (2023)
A.
It indicates the stability of the nucleus
B.
It is the mass of the nucleus
C.
It is the mass of the electrons
D.
It has no significance
Show solution
Solution
The mass defect is the difference between the mass of the nucleus and the sum of the masses of its individual nucleons, indicating the stability and binding energy of the nucleus.
Correct Answer: A — It indicates the stability of the nucleus
Learn More →
Q. What is the significance of the polymerase chain reaction (PCR) in biotechnology? (2023)
A.
It allows for the synthesis of proteins
B.
It amplifies specific DNA sequences
C.
It cuts DNA at specific sites
D.
It transfers genes into cells
Show solution
Solution
PCR is a technique that allows for the amplification of specific DNA sequences, making it a crucial tool in molecular biology and biotechnology.
Correct Answer: B — It amplifies specific DNA sequences
Learn More →
Q. What is the significance of the Red List published by the IUCN? (2020)
A.
It lists all known species
B.
It categorizes species based on their extinction risk
C.
It promotes biodiversity loss
D.
It is a list of invasive species
Show solution
Solution
The Red List published by the IUCN categorizes species based on their extinction risk, helping in conservation efforts.
Correct Answer: B — It categorizes species based on their extinction risk
Learn More →
Q. What is the significance of the wave function in quantum mechanics? (2023)
A.
It describes the position of a particle
B.
It gives the probability of finding a particle
C.
It determines the mass of a particle
D.
It is irrelevant
Show solution
Solution
The wave function provides the probability distribution of a particle's position.
Correct Answer: B — It gives the probability of finding a particle
Learn More →
Q. What is the simplest ketone?
A.
Acetaldehyde
B.
Acetone
C.
Butanone
D.
Propionaldehyde
Show solution
Solution
Acetone (CH3COCH3) is the simplest ketone.
Correct Answer: B — Acetone
Learn More →
Q. What is the slope of the line passing through the points (1, 2) and (3, 6)? (2020) 2020
Show solution
Solution
Slope = (6-2)/(3-1) = 4/2 = 2.
Correct Answer: A — 2
Learn More →
Q. What is the slope of the line perpendicular to the line 3x + 4y = 12?
A.
-3/4
B.
4/3
C.
3/4
D.
-4/3
Show solution
Solution
The slope of the line 3x + 4y = 12 is -3/4. The slope of the perpendicular line is the negative reciprocal, which is 4/3.
Correct Answer: B — 4/3
Learn More →
Q. What is the slope of the line perpendicular to the line 4x + 3y = 12?
A.
-3/4
B.
4/3
C.
3/4
D.
-4/3
Show solution
Solution
The slope of the line 4x + 3y = 12 is -4/3. The slope of the perpendicular line is the negative reciprocal, which is 3/4.
Correct Answer: D — -4/3
Learn More →
Q. What is the slope of the line perpendicular to the line 5x + 2y = 10?
A.
-2/5
B.
5/2
C.
2/5
D.
-5/2
Show solution
Solution
The slope of the line is -5/2. The slope of the perpendicular line is the negative reciprocal, which is 2/5.
Correct Answer: A — -2/5
Learn More →
Q. What is the slope of the line perpendicular to the line 7x - 2y + 3 = 0?
A.
1/2
B.
-1/2
C.
2
D.
-2
Show solution
Solution
The slope of the line is 7/2. The slope of the perpendicular line is the negative reciprocal, which is -2/7.
Correct Answer: B — -1/2
Learn More →
Q. What is the slope of the line perpendicular to the line 7x - 2y = 14?
A.
1/7
B.
-1/7
C.
2/7
D.
-2/7
Show solution
Solution
The slope of the line is 7/2. The slope of the perpendicular line is the negative reciprocal, which is -2/7.
Correct Answer: B — -1/7
Learn More →
Q. What is the slope of the line perpendicular to the line with slope 3?
A.
-1/3
B.
1/3
C.
3
D.
-3
Show solution
Solution
Slope of perpendicular line = -1/m = -1/3.
Correct Answer: A — -1/3
Learn More →
Q. What is the slope of the line perpendicular to the line y = 3x + 1? (2023)
A.
-1/3
B.
1/3
C.
3
D.
-3
Show solution
Solution
Slope of perpendicular line = -1/(slope of original line) = -1/3.
Correct Answer: A — -1/3
Learn More →
Q. What is the slope of the line that passes through the points (4, 5) and (6, 9)?
Show solution
Solution
The slope m = (9 - 5) / (6 - 4) = 4/2 = 2.
Correct Answer: A — 2
Learn More →
Q. What is the slope of the tangent line to f(x) = x^2 + 2x at x = 1? (2023)
Show solution
Solution
f'(x) = 2x + 2. At x = 1, f'(1) = 2(1) + 2 = 4.
Correct Answer: B — 3
Learn More →
Q. What is the slope of the tangent line to the curve y = x^2 - 4x + 5 at x = 3? (2023)
Show solution
Solution
The slope is given by f'(x) = 2x - 4. At x = 3, f'(3) = 2(3) - 4 = 2.
Correct Answer: C — 2
Learn More →
Q. What is the slope of the tangent to the curve y = x^2 + 2x at x = 1? (2023)
Show solution
Solution
f'(x) = 2x + 2. At x = 1, f'(1) = 2(1) + 2 = 4.
Correct Answer: B — 3
Learn More →
Q. What is the solution of the differential equation dy/dx = y^2?
A.
y = 1/(C - x)
B.
y = C/(x + 1)
C.
y = Cx
D.
y = e^(x + C)
Show solution
Solution
Separating variables and integrating gives 1/y = x + C, leading to y = 1/(C - x).
Correct Answer: A — y = 1/(C - x)
Learn More →
Q. What is the solution of the differential equation y' = 2y + 3?
A.
y = Ce^(2x) - 3/2
B.
y = Ce^(2x) + 3/2
C.
y = 3e^(2x)
D.
y = 2e^(x) + C
Show solution
Solution
The integrating factor is e^(-2x). Solving gives y = Ce^(2x) + 3/2.
Correct Answer: B — y = Ce^(2x) + 3/2
Learn More →
Q. What is the solution of the differential equation y' = 5y + 3?
A.
y = (3/5) + Ce^(5x)
B.
y = Ce^(5x) - (3/5)
C.
y = (3/5)e^(5x)
D.
y = Ce^(3x) + 5
Show solution
Solution
Using the integrating factor method, we find the general solution to be y = Ce^(5x) - (3/5).
Correct Answer: B — y = Ce^(5x) - (3/5)
Learn More →
Q. What is the solution of the equation dy/dx = 3x^2?
A.
y = x^3 + C
B.
y = 3x^3 + C
C.
y = x^2 + C
D.
y = 3x^2 + C
Show solution
Solution
Integrating both sides gives y = ∫3x^2 dx = x^3 + C.
Correct Answer: A — y = x^3 + C
Learn More →
Q. What is the solution of the equation dy/dx = 4y + 2? (2021)
A.
y = Ce^(4x) - 1/2
B.
y = Ce^(-4x) + 1/2
C.
y = 2e^(4x) + C
D.
y = 4e^(4x) + C
Show solution
Solution
Using an integrating factor, the solution is y = Ce^(4x) - 1/2.
Correct Answer: A — y = Ce^(4x) - 1/2
Learn More →
Q. What is the solution of the equation dy/dx = 6 - 2y? (2021)
A.
y = 3 - Ce^(-2x)
B.
y = 3 + Ce^(-2x)
C.
y = 2 - Ce^(2x)
D.
y = 6 - Ce^(2x)
Show solution
Solution
Rearranging gives dy/(6 - 2y) = dx. Integrating both sides leads to y = 3 - Ce^(-2x).
Correct Answer: A — y = 3 - Ce^(-2x)
Learn More →
Q. What is the solution of the equation y' + 4y = 0?
A.
y = Ce^(-4x)
B.
y = Ce^(4x)
C.
y = 4Ce^x
D.
y = Ce^(x/4)
Show solution
Solution
This is a separable equation. The solution is y = Ce^(-4x).
Correct Answer: A — y = Ce^(-4x)
Learn More →
Q. What is the solution of the equation y' = -ky, where k is a constant?
A.
y = Ce^(kt)
B.
y = Ce^(-kt)
C.
y = -Ce^(kt)
D.
y = -Ce^(-kt)
Show solution
Solution
This is a separable equation. Integrating gives y = Ce^(-kt).
Correct Answer: B — y = Ce^(-kt)
Learn More →
Q. What is the solution to the differential equation dy/dx = -y/x?
A.
y = Cx
B.
y = C/x
C.
y = Cx^2
D.
y = Cx^(-1)
Show solution
Solution
This is a separable equation. Separating variables and integrating gives y = C/x.
Correct Answer: B — y = C/x
Learn More →
Showing 3061 to 3090 of 4667 (156 Pages)
