Q. In the following data set: 9, 10, 10, 11, 12, 12, 12, 13, what is the mode?
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Solution
The mode is 12, which appears three times, more than any other number.
Correct Answer:
D
— 12
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Q. In the following set of scores: 45, 50, 50, 60, 70, 70, 70, 80, what is the mode?
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Solution
The mode is 70, as it appears 3 times, which is more than any other score.
Correct Answer:
D
— 70
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Q. In the Freundlich adsorption isotherm, which parameter indicates the extent of adsorption?
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Solution
In the Freundlich isotherm, K is the adsorption coefficient that indicates the extent of adsorption.
Correct Answer:
A
— K
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Q. In the function f(x) = x^2 - 4, what are the x-intercepts?
A.
2 and -2
B.
4 and -4
C.
0 and 4
D.
None
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Solution
To find the x-intercepts, set f(x) = 0: x^2 - 4 = 0, which factors to (x - 2)(x + 2) = 0, giving x-intercepts at 2 and -2.
Correct Answer:
A
— 2 and -2
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Q. In the function f(x) = |x - 2|, what is the value of f(2)?
A.
0
B.
1
C.
2
D.
Undefined
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Solution
Substituting x = 2 gives f(2) = |2 - 2| = |0| = 0.
Correct Answer:
A
— 0
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Q. In the function f(x) = |x|, what is the nature of the graph?
A.
It is a straight line.
B.
It is a parabola.
C.
It is a V-shape.
D.
It is a circle.
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Solution
The graph of f(x) = |x| forms a V-shape, reflecting the absolute value function.
Correct Answer:
C
— It is a V-shape.
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Q. In the function f(x) = |x|, what is the output when x is negative?
A.
The output is negative.
B.
The output is zero.
C.
The output is positive.
D.
The output is undefined.
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Solution
The absolute value function |x| outputs the positive value of x, regardless of whether x is negative or positive.
Correct Answer:
C
— The output is positive.
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Q. In the function f(x) = |x|, what is the value of f(-3)?
A.
-3
B.
0
C.
3
D.
Undefined
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Solution
The absolute value function returns the non-negative value of x, so f(-3) = 3.
Correct Answer:
C
— 3
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Q. In the given bar graph, which product had the highest sales in Q2?
A.
Product A
B.
Product B
C.
Product C
D.
Product D
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Solution
The bar graph shows Product B with the highest sales in Q2.
Correct Answer:
B
— Product B
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Q. In the given table, how many units of Product B were sold in total across all quarters?
A.
150
B.
200
C.
250
D.
300
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Solution
Product B sold 50 units in Q1, 70 in Q2, 80 in Q3, and 50 in Q4, totaling 250 units.
Correct Answer:
C
— 250
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Q. In the given table, how many units of Product B were sold in total?
A.
150
B.
200
C.
250
D.
300
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Solution
Product B sold 100 units in Q1 and 150 units in Q2, totaling 250 units.
Correct Answer:
C
— 250
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Q. In the hydrogen atom, which transition would emit the photon with the highest energy? (2019)
A.
n=2 to n=1
B.
n=3 to n=2
C.
n=4 to n=3
D.
n=5 to n=4
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Solution
The energy of the emitted photon is highest for the transition from n=2 to n=1, as it involves the largest energy difference.
Correct Answer:
A
— n=2 to n=1
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Q. In the ideal gas equation PV=nRT, what does 'n' represent?
A.
Pressure
B.
Volume
C.
Number of moles
D.
Temperature
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Solution
'n' represents the number of moles of the gas in the ideal gas equation.
Correct Answer:
C
— Number of moles
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Q. In the kinetic theory of gases, the pressure exerted by a gas is due to:
A.
Gravitational force
B.
Molecular collisions with the walls
C.
Temperature of the gas
D.
Volume of the gas
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Solution
The pressure exerted by a gas is due to the collisions of gas molecules with the walls of the container.
Correct Answer:
B
— Molecular collisions with the walls
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Q. In the kinetic theory of gases, the temperature of a gas is a measure of: (2022)
A.
The average potential energy of the molecules
B.
The average kinetic energy of the molecules
C.
The total energy of the gas
D.
The number of molecules in the gas
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Solution
In the kinetic theory of gases, the temperature of a gas is a measure of the average kinetic energy of the molecules.
Correct Answer:
B
— The average kinetic energy of the molecules
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Q. In the kinetic theory of gases, the term 'elastic collision' means: (2019)
A.
Kinetic energy is conserved
B.
Momentum is conserved
C.
Both kinetic energy and momentum are conserved
D.
Neither kinetic energy nor momentum is conserved
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Solution
In elastic collisions, both kinetic energy and momentum are conserved, which is a key assumption in the kinetic theory of gases.
Correct Answer:
C
— Both kinetic energy and momentum are conserved
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Q. In the kinetic theory of gases, the term 'ideal gas' refers to:
A.
A gas that obeys the ideal gas law at all conditions
B.
A gas with no intermolecular forces
C.
A gas that has a constant volume
D.
A gas that can be liquefied easily
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Solution
An ideal gas is a theoretical gas that perfectly follows the ideal gas law and has no intermolecular forces, behaving ideally under all conditions.
Correct Answer:
B
— A gas with no intermolecular forces
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Q. In the kinetic theory of gases, the term 'mean free path' refers to:
A.
The average distance traveled by a molecule between collisions
B.
The average speed of gas molecules
C.
The average time between collisions
D.
The average distance of the gas from the walls of the container
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Solution
The mean free path is defined as the average distance a molecule travels before colliding with another molecule.
Correct Answer:
A
— The average distance traveled by a molecule between collisions
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Q. In the kinetic theory of gases, what does the term 'ideal gas' refer to?
A.
A gas that obeys the ideal gas law at all conditions.
B.
A gas with no intermolecular forces.
C.
A gas that has a fixed volume.
D.
A gas that can be liquefied easily.
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Solution
An ideal gas is defined as a gas that has no intermolecular forces and occupies no volume, allowing it to perfectly obey the ideal gas law under all conditions.
Correct Answer:
B
— A gas with no intermolecular forces.
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Q. In the kinetic theory of gases, which of the following quantities is directly proportional to the square of the speed of gas molecules?
A.
Pressure
B.
Volume
C.
Temperature
D.
Density
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Solution
According to the kinetic theory, pressure is directly proportional to the average kinetic energy of the gas molecules, which is proportional to the square of their speed.
Correct Answer:
A
— Pressure
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Q. In the kinetic theory, the internal energy of an ideal gas is primarily due to:
A.
Potential energy
B.
Kinetic energy of molecules
C.
Work done on the gas
D.
Heat energy
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Solution
In an ideal gas, the internal energy is primarily due to the kinetic energy of the gas molecules, as potential energy is negligible.
Correct Answer:
B
— Kinetic energy of molecules
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Q. In the kinetic theory, the temperature of a gas is a measure of: (2022)
A.
The average potential energy of the molecules
B.
The average kinetic energy of the molecules
C.
The total energy of the gas
D.
The speed of the gas molecules
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Solution
In the kinetic theory, the temperature of a gas is a measure of the average kinetic energy of the molecules.
Correct Answer:
B
— The average kinetic energy of the molecules
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Q. In the Langmuir adsorption isotherm, what assumption is made about the adsorption sites?
A.
They are identical and have the same energy
B.
They are different and have varying energy
C.
They can accommodate multiple layers
D.
They are not limited in number
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Solution
The Langmuir isotherm assumes that all adsorption sites are identical and have the same energy.
Correct Answer:
A
— They are identical and have the same energy
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Q. In the Langmuir adsorption isotherm, what does the term 'b' represent?
A.
Adsorption energy
B.
Surface area
C.
Equilibrium constant
D.
Adsorption capacity
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Solution
'b' in the Langmuir isotherm represents the equilibrium constant related to the adsorption process.
Correct Answer:
C
— Equilibrium constant
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Q. In the Langmuir adsorption isotherm, which assumption is NOT made? (2019)
A.
Adsorption occurs on a surface with a finite number of identical sites
B.
Adsorption is reversible
C.
There is no interaction between adsorbed molecules
D.
Adsorption occurs only at high pressures
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Solution
The Langmuir isotherm assumes that adsorption occurs at all pressures, not just high pressures.
Correct Answer:
D
— Adsorption occurs only at high pressures
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Q. In the line chart, what was the sales figure at the end of 2021?
A.
3000
B.
3500
C.
4000
D.
4500
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Solution
The sales figure at the end of 2021 was 4000 according to the line chart.
Correct Answer:
C
— 4000
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Q. In the line chart, what was the sales figure for 2018?
A.
100
B.
200
C.
300
D.
400
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Solution
The sales figure for 2018 was 100 as indicated in the line chart.
Correct Answer:
A
— 100
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Q. In the line chart, what was the sales figure for 2021?
A.
300
B.
350
C.
400
D.
450
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Solution
The sales figure for 2021 was 450 as indicated in the line chart.
Correct Answer:
D
— 450
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Q. In the line graph depicting the population growth of a city, what does a steep incline represent?
A.
Stable population
B.
Rapid population increase
C.
Population decline
D.
Population stagnation
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Solution
A steep incline in the graph indicates a rapid increase in the city's population.
Correct Answer:
B
— Rapid population increase
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Q. In the line graph illustrating the number of visitors to a park, which month had the most significant drop in attendance?
A.
March
B.
June
C.
September
D.
December
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Solution
September showed a sharp decline in visitor numbers, making it the month with the most significant drop.
Correct Answer:
C
— September
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