Major Competitive Exams
Q. Which of the following is the solution set for the inequality: 3x + 2 > 11?
A.
x > 3
B.
x < 3
C.
x > 2
D.
x < 2
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Solution
3x + 2 > 11 => 3x > 9 => x > 3.
Correct Answer: A — x > 3
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Q. Which of the following is the solution to the inequality 3x + 2 ≥ 11?
A.
x < 3
B.
x > 3
C.
x ≤ 3
D.
x ≥ 3
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Solution
3x + 2 ≥ 11 => 3x ≥ 9 => x ≥ 3.
Correct Answer: D — x ≥ 3
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Q. Which of the following is the solution to the inequality x + 2 > 7?
A.
x < 5
B.
x > 5
C.
x < 9
D.
x > 9
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Solution
x + 2 > 7 => x > 5.
Correct Answer: B — x > 5
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Q. Which of the following is the strongest acid?
A.
Formic acid
B.
Acetic acid
C.
Propanoic acid
D.
Butanoic acid
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Solution
Formic acid (HCOOH) is stronger than acetic acid (CH3COOH) due to the presence of a hydrogen atom directly attached to the carbonyl carbon, which stabilizes the conjugate base.
Correct Answer: A — Formic acid
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Q. Which of the following is the truth table for an AND gate?
A.
00, 01, 10, 11
B.
00, 01, 11, 10
C.
00, 10, 01, 11
D.
00, 11, 01, 10
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Solution
The truth table for an AND gate is: 00 -> 0, 01 -> 0, 10 -> 0, 11 -> 1.
Correct Answer: A — 00, 01, 10, 11
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Q. Which of the following is true about a buffer solution?
A.
Resists changes in pH
B.
Has a pH of 7
C.
Contains only strong acids
D.
Is always neutral
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Solution
A buffer solution resists changes in pH upon the addition of small amounts of acid or base.
Correct Answer: A — Resists changes in pH
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Q. Which of the following is true about a saturated solution?
A.
It contains more solute than can dissolve
B.
It contains less solute than can dissolve
C.
It is always at boiling point
D.
It is always at freezing point
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Solution
A saturated solution contains the maximum amount of solute that can dissolve at a given temperature.
Correct Answer: A — It contains more solute than can dissolve
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Q. Which of the following is true about an exothermic reaction?
A.
ΔH is positive
B.
ΔH is negative
C.
ΔH is zero
D.
ΔH can be either positive or negative
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Solution
In an exothermic reaction, the enthalpy change (ΔH) is negative because heat is released.
Correct Answer: B — ΔH is negative
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Q. Which of the following is true about elastic potential energy stored in a stretched wire?
A.
It is proportional to the square of the elongation
B.
It is proportional to the elongation
C.
It is independent of the elongation
D.
It is inversely proportional to the elongation
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Solution
The elastic potential energy stored in a stretched wire is given by U = (1/2) * Y * (ΔL^2 / L), which is proportional to the square of the elongation.
Correct Answer: A — It is proportional to the square of the elongation
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Q. Which of the following is true about significant figures?
A.
All zeros are significant
B.
Leading zeros are significant
C.
Trailing zeros in a whole number are significant
D.
Trailing zeros in a decimal are significant
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Solution
Trailing zeros in a decimal are significant.
Correct Answer: D — Trailing zeros in a decimal are significant
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Q. Which of the following is true about the entropy of a system?
A.
It always decreases.
B.
It is a measure of disorder.
C.
It is independent of temperature.
D.
It can never increase.
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Solution
Entropy is a measure of disorder in a system, and it tends to increase in spontaneous processes.
Correct Answer: B — It is a measure of disorder.
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Q. Which of the following is true about the escape velocity from the surface of the Earth?
A.
It is independent of the mass of the object
B.
It is dependent on the mass of the Earth
C.
It is dependent on the radius of the Earth
D.
All of the above
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Solution
Escape velocity is independent of the mass of the object, but it depends on the mass and radius of the Earth.
Correct Answer: D — All of the above
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Q. Which of the following is true about the Freundlich adsorption isotherm?
A.
It applies only to monolayer adsorption
B.
It is applicable to heterogeneous surfaces
C.
It assumes a fixed number of adsorption sites
D.
It is a linear isotherm
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Solution
The Freundlich adsorption isotherm is applicable to heterogeneous surfaces and describes multilayer adsorption.
Correct Answer: B — It is applicable to heterogeneous surfaces
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Q. Which of the following is true about the Gibbs free energy change (ΔG) for a spontaneous process?
A.
ΔG > 0
B.
ΔG < 0
C.
ΔG = 0
D.
ΔG is always positive
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Solution
For a spontaneous process, the Gibbs free energy change (ΔG) is less than 0 (ΔG < 0).
Correct Answer: B — ΔG < 0
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Q. Which of the following is true about the Gibbs free energy change (ΔG)?
A.
ΔG < 0 indicates a spontaneous process
B.
ΔG > 0 indicates a spontaneous process
C.
ΔG = 0 indicates a non-spontaneous process
D.
ΔG is always positive
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Solution
A negative Gibbs free energy change (ΔG < 0) indicates that the process is spontaneous.
Correct Answer: A — ΔG < 0 indicates a spontaneous process
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Q. Which of the following is true about the heat capacity of a substance?
A.
It is always constant
B.
It depends on the amount of substance
C.
It is independent of temperature
D.
It is the same for all substances
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Solution
Heat capacity depends on the amount of substance; it is not a constant value.
Correct Answer: B — It depends on the amount of substance
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Q. Which of the following is true about the number 2500?
A.
It has 2 significant figures
B.
It has 3 significant figures
C.
It has 4 significant figures
D.
It has infinite significant figures
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Solution
2500 has 2 significant figures unless specified with a decimal point.
Correct Answer: A — It has 2 significant figures
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Q. Which of the following is true about the period of a satellite in a low Earth orbit compared to a satellite in a high Earth orbit?
A.
The period is longer for low Earth orbit
B.
The period is shorter for low Earth orbit
C.
The periods are the same
D.
It depends on the satellite's mass
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Solution
The period of a satellite in a low Earth orbit is shorter than that of a satellite in a high Earth orbit due to the stronger gravitational pull.
Correct Answer: B — The period is shorter for low Earth orbit
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Q. Which of the following is true about the period of a satellite in a low Earth orbit compared to a satellite in a geostationary orbit?
A.
The period is longer for the low Earth orbit
B.
The period is shorter for the low Earth orbit
C.
The periods are the same
D.
The period depends on the satellite's mass
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Solution
A satellite in a low Earth orbit has a shorter orbital period compared to a geostationary satellite due to its closer proximity to Earth.
Correct Answer: B — The period is shorter for the low Earth orbit
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Q. Which of the following is true for a satellite in a low Earth orbit?
A.
It has a very high orbital speed
B.
It has a very low orbital speed
C.
It does not experience any gravitational force
D.
It is not affected by atmospheric drag
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Solution
A satellite in a low Earth orbit has a very high orbital speed due to the proximity to the Earth and the gravitational pull.
Correct Answer: A — It has a very high orbital speed
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Q. Which of the following is true for all angles A?
A.
sin^2 A + cos^2 A = 1
B.
tan A = sin A/cos A
C.
sec A = 1/cos A
D.
All of the above
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Solution
All the given identities are true for all angles A.
Correct Answer: D — All of the above
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Q. Which of the following is true for an endothermic reaction?
A.
Heat is released
B.
ΔH is negative
C.
ΔH is positive
D.
The reaction is spontaneous
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Solution
In an endothermic reaction, heat is absorbed, resulting in a positive ΔH.
Correct Answer: C — ΔH is positive
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Q. Which of the following lanthanides is used in making strong permanent magnets?
A.
Cerium
B.
Neodymium
C.
Samarium
D.
Europium
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Solution
Neodymium is used in making strong permanent magnets due to its magnetic properties.
Correct Answer: B — Neodymium
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Q. Which of the following ligands is a strong field ligand?
A.
I-
B.
Br-
C.
CN-
D.
Cl-
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Solution
CN- is a strong field ligand and causes a large splitting of d-orbitals, leading to low-spin complexes.
Correct Answer: C — CN-
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Q. Which of the following lines is parallel to the line 4x - 5y + 10 = 0?
A.
y = (4/5)x + 2
B.
y = (5/4)x - 1
C.
y = (4/5)x - 3
D.
y = (-5/4)x + 1
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Solution
The slope of the given line is 4/5. A line parallel to it must have the same slope, hence y = (4/5)x - 3.
Correct Answer: C — y = (4/5)x - 3
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Q. Which of the following liquids has the highest boiling point?
A.
Ethanol
B.
Water
C.
Benzene
D.
Hexane
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Solution
Water has a higher boiling point due to strong hydrogen bonding.
Correct Answer: B — Water
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Q. Which of the following liquids has the highest surface tension at room temperature?
A.
Water
B.
Ethanol
C.
Mercury
D.
Benzene
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Solution
Mercury has a very high surface tension due to strong cohesive forces between its molecules, higher than that of water, ethanol, and benzene.
Correct Answer: C — Mercury
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Q. Which of the following liquids has the highest surface tension?
A.
Water
B.
Ethanol
C.
Benzene
D.
Mercury
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Solution
Mercury has the highest surface tension due to strong cohesive forces.
Correct Answer: D — Mercury
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Q. Which of the following liquids has the highest viscosity?
A.
Water
B.
Glycerol
C.
Ethanol
D.
Acetone
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Solution
Glycerol is a thick liquid and has a higher viscosity compared to the others.
Correct Answer: B — Glycerol
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Q. Which of the following liquids has the lowest boiling point?
A.
Water
B.
Ethanol
C.
Benzene
D.
Hexane
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Solution
Benzene has a lower boiling point compared to water, ethanol, and hexane.
Correct Answer: C — Benzene
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