Q. In a redox reaction, what happens to the oxidation state of the reducing agent? (2021)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Varies
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Solution
The oxidation state of the reducing agent decreases as it loses electrons during the reaction.
Correct Answer:
B
— Decreases
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Q. In a redox reaction, which of the following statements is true? (2020)
A.
Oxidation involves gain of electrons
B.
Reduction involves loss of electrons
C.
Oxidation state of an element decreases during oxidation
D.
Reduction involves gain of electrons
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Solution
Reduction is defined as the gain of electrons, which decreases the oxidation state of the element.
Correct Answer:
D
— Reduction involves gain of electrons
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Q. In a redox reaction, which species is reduced?
A.
Oxidizing agent
B.
Reducing agent
C.
Product
D.
Reactant
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Solution
The oxidizing agent is the species that gains electrons and is reduced.
Correct Answer:
A
— Oxidizing agent
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Q. In a refrigerator, the work done on the system is used to:
A.
Increase the internal energy
B.
Decrease the internal energy
C.
Transfer heat from cold to hot
D.
Transfer heat from hot to cold
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Solution
In a refrigerator, work is done on the system to transfer heat from a colder body to a hotter body, which is against the natural flow of heat.
Correct Answer:
C
— Transfer heat from cold to hot
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Q. In a region of space where the electric field is uniform, what is the electric flux through a surface area A oriented perpendicular to the field?
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Solution
The electric flux Φ through a surface area A in a uniform electric field E is given by Φ = EA when the surface is perpendicular to the field.
Correct Answer:
A
— EA
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Q. In a region where the electric field is uniform, how does the electric flux through a surface depend on the angle between the field and the normal to the surface?
A.
It is maximum when the angle is 0°
B.
It is maximum when the angle is 90°
C.
It is independent of the angle
D.
It is zero when the angle is 0°
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Solution
The electric flux is maximum when the angle between the electric field and the normal to the surface is 0°, as Φ = E·A·cos(θ).
Correct Answer:
A
— It is maximum when the angle is 0°
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Q. In a region where the electric field is uniform, what is the shape of the Gaussian surface that would yield the simplest calculation of electric flux?
A.
Sphere
B.
Cube
C.
Cylinder
D.
Plane
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Solution
A plane is the simplest Gaussian surface for uniform electric fields, as it allows for straightforward calculation of flux.
Correct Answer:
D
— Plane
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Q. In a regular dodecagon, what is the measure of each exterior angle?
A.
30 degrees
B.
36 degrees
C.
24 degrees
D.
18 degrees
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Solution
The measure of each exterior angle of a regular polygon is 360/n. For a dodecagon (n=12), it is 360/12 = 30 degrees.
Correct Answer:
B
— 36 degrees
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Q. In a regular hexagon, what is the measure of each interior angle?
A.
120 degrees
B.
90 degrees
C.
150 degrees
D.
60 degrees
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Solution
The measure of each interior angle in a regular hexagon can be calculated using the formula (n-2) * 180/n, which gives (6-2) * 180/6 = 120 degrees.
Correct Answer:
A
— 120 degrees
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Q. In a regular hexagon, what is the relationship between the side length and the radius of the circumscribed circle?
A.
The radius is twice the side length.
B.
The radius is equal to the side length.
C.
The radius is half the side length.
D.
The radius is three times the side length.
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Solution
In a regular hexagon, the radius of the circumscribed circle is equal to the length of a side.
Correct Answer:
B
— The radius is equal to the side length.
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Q. In a regular pentagon, what is the measure of each exterior angle? (2023)
A.
60 degrees
B.
72 degrees
C.
90 degrees
D.
108 degrees
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Solution
The measure of each exterior angle in a regular polygon is 360/n. For a pentagon (n=5), it is 360/5 = 72 degrees.
Correct Answer:
B
— 72 degrees
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Q. In a regular pentagon, what is the measure of each interior angle?
A.
108 degrees
B.
120 degrees
C.
90 degrees
D.
72 degrees
Show solution
Solution
The measure of each interior angle in a regular pentagon can be calculated using the formula (n-2) * 180 / n, which results in (5-2) * 180 / 5 = 108 degrees.
Correct Answer:
A
— 108 degrees
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Q. In a regular pentagon, what is the relationship between the number of sides and the number of diagonals? (2023)
A.
Diagonals are equal to sides.
B.
Diagonals are twice the number of sides.
C.
Diagonals are three times the number of sides.
D.
Diagonals are less than the number of sides.
Show solution
Solution
In a regular pentagon, the number of diagonals is given by n(n-3)/2. For n=5, it results in 5(5-3)/2 = 5, which is equal to the number of sides.
Correct Answer:
A
— Diagonals are equal to sides.
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Q. In a regular polygon, if the measure of each exterior angle is 30 degrees, how many sides does the polygon have? (2023)
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Solution
The measure of each exterior angle of a regular polygon is given by 360/n. Setting 360/n = 30 gives n = 12.
Correct Answer:
A
— 6
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Q. In a relay race, each runner runs 200 meters. If there are 4 runners in a team, what is the total distance covered by the team? (2019)
A.
600 meters
B.
800 meters
C.
1000 meters
D.
1200 meters
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Solution
Total distance = distance per runner * number of runners = 200 m * 4 = 800 meters.
Correct Answer:
D
— 1200 meters
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Q. In a relay race, each runner runs 200 meters. If there are 4 runners in the team, what is the total distance covered by the team? (2020)
A.
600 m
B.
800 m
C.
700 m
D.
900 m
Show solution
Solution
Total distance = Number of runners × Distance per runner = 4 × 200 m = 800 m.
Correct Answer:
B
— 800 m
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Q. In a relay race, each runner runs 400 meters. If there are 4 runners in the team, what is the total distance covered by the team? (2019)
A.
1200
B.
1600
C.
1400
D.
1000
Show solution
Solution
Total distance = number of runners × distance per runner = 4 × 400 m = 1600 m.
Correct Answer:
B
— 1600
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Q. In a relay race, if each runner runs 200 meters and there are 4 runners in a team, what is the total distance covered by the team?
A.
600 meters
B.
800 meters
C.
1000 meters
D.
1200 meters
Show solution
Solution
The total distance is 4 runners * 200 meters = 800 meters.
Correct Answer:
D
— 1200 meters
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Q. In a relay race, if each runner runs 400 meters and there are 4 runners in a team, what is the total distance covered by the team? (2019)
A.
1200 meters
B.
1600 meters
C.
1400 meters
D.
1800 meters
Show solution
Solution
Total distance = Distance per runner * Number of runners = 400 m * 4 = 1600 meters.
Correct Answer:
B
— 1600 meters
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Q. In a relay race, if each runner runs 400 meters and there are 4 runners, what is the total distance covered by the team? (2020)
A.
1200 meters
B.
1400 meters
C.
1600 meters
D.
1800 meters
Show solution
Solution
Total distance = 4 runners * 400 meters = 1600 meters.
Correct Answer:
C
— 1600 meters
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Q. In a relay race, if Team A finishes the race in 3 minutes and Team B finishes in 3 minutes and 5 seconds, what can be concluded?
A.
Team A was significantly faster.
B.
Team B was faster than Team A.
C.
Team A won the race.
D.
Both teams finished at the same time.
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Solution
Since Team A finished in a shorter time than Team B, Team A won the race.
Correct Answer:
C
— Team A won the race.
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Q. In a relay race, if the first runner completes their leg in 12 seconds and the second runner takes 15 seconds, what is the total time for the first two legs?
A.
27 seconds
B.
30 seconds
C.
25 seconds
D.
20 seconds
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Solution
The total time for the first two legs is simply the sum of the individual times: 12 + 15 = 27 seconds.
Correct Answer:
A
— 27 seconds
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Q. In a resource allocation problem, if the marginal cost of production exceeds the marginal benefit, what should a firm do? (2023)
A.
Increase production to maximize profits.
B.
Reduce production to avoid losses.
C.
Maintain current production levels.
D.
Diversify into new markets.
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Solution
If marginal cost exceeds marginal benefit, the firm should reduce production to avoid losses, making option 1 the correct answer.
Correct Answer:
B
— Reduce production to avoid losses.
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Q. In a resource allocation scenario, if a company decides to allocate more funds to marketing rather than research and development, this is an example of: (2023)
A.
Budget reallocation.
B.
Resource optimization.
C.
Opportunity cost.
D.
Strategic planning.
Show solution
Solution
This decision reflects budget reallocation, as funds are being shifted from one area to another, making option 0 correct.
Correct Answer:
A
— Budget reallocation.
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Q. In a resource allocation scenario, which of the following best defines 'scarcity'?
A.
The unlimited availability of resources.
B.
The limited nature of resources in comparison to human wants.
C.
The efficient use of resources.
D.
The surplus of resources in an economy.
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Solution
Scarcity refers to the limited nature of resources in relation to human wants, making option 1 the correct answer.
Correct Answer:
B
— The limited nature of resources in comparison to human wants.
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Q. In a resource allocation scenario, which of the following factors is least likely to influence decision-making?
A.
Cost-benefit analysis.
B.
Stakeholder interests.
C.
Personal biases of decision-makers.
D.
Geographical location of resources.
Show solution
Solution
While geographical location can be a factor, it is often less influential than cost-benefit analysis, stakeholder interests, and personal biases, making option 3 the least likely.
Correct Answer:
D
— Geographical location of resources.
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Q. In a reversible process, the change in entropy of the universe is:
A.
Positive
B.
Negative
C.
Zero
D.
Undefined
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Solution
In a reversible process, the change in entropy of the universe is zero, as the system and surroundings are in equilibrium.
Correct Answer:
C
— Zero
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Q. In a reversible process, the change in Gibbs free energy (ΔG) is:
A.
Always positive
B.
Always negative
C.
Zero at equilibrium
D.
None of the above
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Solution
In a reversible process, the change in Gibbs free energy (ΔG) is zero at equilibrium.
Correct Answer:
C
— Zero at equilibrium
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Q. In a reversible process, the change in Gibbs free energy is equal to:
A.
Zero
B.
Enthalpy
C.
Entropy
D.
Temperature
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Solution
In a reversible process at equilibrium, the change in Gibbs free energy is zero.
Correct Answer:
A
— Zero
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Q. In a reversible process, the work done is: (2023)
A.
Always maximum
B.
Always minimum
C.
Equal to the heat absorbed
D.
Independent of the path
Show solution
Solution
In a reversible process, the work done is always maximum compared to irreversible processes.
Correct Answer:
A
— Always maximum
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