Q. Which of the following factors does NOT affect the surface tension of a liquid?
A.
Temperature
B.
Impurities
C.
Density
D.
Nature of the liquid
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Solution
While temperature, impurities, and the nature of the liquid affect surface tension, density does not directly influence it.
Correct Answer: C — Density
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Q. Which of the following factors does NOT affect the tensile strength of a material? (2022)
A.
Temperature
B.
Material composition
C.
Length of the specimen
D.
Cross-sectional area
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Solution
The length of the specimen does not affect tensile strength; it is an intrinsic property of the material.
Correct Answer: C — Length of the specimen
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Q. Which of the following factors does NOT affect the torque exerted by a force?
A.
Magnitude of the force
B.
Distance from the pivot
C.
Angle of application
D.
Mass of the object
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Solution
The mass of the object does not affect the torque; torque depends on the force, distance from the pivot, and angle of application.
Correct Answer: D — Mass of the object
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Q. Which of the following factors does NOT affect the torque produced by a force?
A.
Magnitude of the force
B.
Distance from the pivot
C.
Angle of application
D.
Mass of the object
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Solution
The mass of the object does not affect the torque; torque depends on force, distance, and angle.
Correct Answer: D — Mass of the object
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Q. Which of the following factors does NOT affect the vapor pressure of a liquid?
A.
Temperature
B.
Nature of the liquid
C.
Surface area
D.
Presence of impurities
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Solution
Surface area does not significantly affect the vapor pressure of a liquid.
Correct Answer: C — Surface area
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Q. Which of the following factors does NOT affect the vapor pressure of a solution according to Raoult's Law?
A.
Nature of the solute
B.
Temperature
C.
Mole fraction of the solvent
D.
Pressure of the system
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Solution
Raoult's Law states that the vapor pressure is affected by the nature of the solute, temperature, and mole fraction of the solvent, but not by the pressure of the system.
Correct Answer: D — Pressure of the system
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Q. Which of the following factors does NOT affect the viscosity of a fluid?
A.
Temperature
B.
Pressure
C.
Density
D.
Flow rate
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Solution
Flow rate does not affect the viscosity of a fluid; viscosity is a property of the fluid itself.
Correct Answer: D — Flow rate
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Q. Which of the following factors does NOT affect the viscosity of a liquid?
A.
Temperature
B.
Molecular weight
C.
Pressure
D.
Surface area
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Solution
Surface area does not significantly affect the viscosity of a liquid.
Correct Answer: D — Surface area
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Q. Which of the following factors is considered a primary driver of urbanization in the 19th century?
A.
Agricultural advancements
B.
Industrial Revolution
C.
Colonial expansion
D.
Technological innovations
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Solution
The Industrial Revolution, which began in the late 18th century and continued into the 19th century, was a primary driver of urbanization as it led to the growth of factories and job opportunities in urban areas.
Correct Answer: B — Industrial Revolution
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Q. Which of the following factors is considered an abiotic factor? (2019)
A.
Fungi
B.
Bacteria
C.
Sunlight
D.
Plants
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Solution
Abiotic factors are non-living chemical and physical components of the environment, such as sunlight, temperature, and water.
Correct Answer: C — Sunlight
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Q. Which of the following factors is most critical in determining the success of an essay in the UPSC Mains examination?
A.
Clarity of thought
B.
Length of the essay
C.
Use of complex vocabulary
D.
Number of references
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Solution
Clarity of thought is essential as it ensures that the ideas are communicated effectively, making the essay coherent and impactful.
Correct Answer: A — Clarity of thought
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Q. Which of the following factors significantly contributed to the population growth in ancient civilizations?
A.
Advancements in agriculture
B.
Increased trade routes
C.
Urbanization
D.
Military conquests
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Solution
Advancements in agriculture, such as the development of irrigation and crop rotation, allowed ancient civilizations to support larger populations.
Correct Answer: A — Advancements in agriculture
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Q. Which of the following features is NOT typically associated with Mughal architecture?
A.
Symmetry
B.
Use of red sandstone
C.
Intricate floral patterns
D.
Flying buttresses
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Solution
Flying buttresses are a feature of Gothic architecture, not Mughal architecture, which is known for its symmetry and intricate designs.
Correct Answer: D — Flying buttresses
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Q. Which of the following figures can be formed by folding the given paper?
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Solution
Figure C can be formed by folding the paper along the indicated lines.
Correct Answer: C — C
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Q. Which of the following figures is a rotation of the first figure?
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Solution
Figure X is a 90-degree rotation of the original figure.
Correct Answer: A — X
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Q. Which of the following figures is a rotation of the given figure?
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Solution
Option B is the correct rotation of the original figure by 90 degrees.
Correct Answer: B — B
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Q. Which of the following figures is different from the others?
A.
Circle
B.
Square
C.
Triangle
D.
Rectangle
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Solution
All options except Circle have straight edges.
Correct Answer: A — Circle
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Q. Which of the following figures is the mirror image of the given figure? (2021)
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Solution
The correct mirror image is option B, as it reflects the original figure accurately.
Correct Answer: B — B
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Q. Which of the following fluids has the highest viscosity?
A.
Water
B.
Honey
C.
Air
D.
Olive oil
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Solution
Honey has a higher viscosity compared to water, air, and olive oil due to its thicker consistency.
Correct Answer: B — Honey
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Q. Which of the following fluids is likely to have the highest viscosity?
A.
Water
B.
Honey
C.
Air
D.
Gasoline
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Solution
Honey has a much higher viscosity compared to water, air, and gasoline.
Correct Answer: B — Honey
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Q. Which of the following forms of energy is associated with motion? (2023)
A.
Potential Energy
B.
Kinetic Energy
C.
Thermal Energy
D.
Chemical Energy
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Solution
Kinetic Energy is the form of energy associated with motion.
Correct Answer: B — Kinetic Energy
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Q. Which of the following functional groups is present in alcohols? (2019)
A.
-OH
B.
-COOH
C.
-NH2
D.
-CHO
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Solution
Alcohols contain the hydroxyl functional group (-OH).
Correct Answer: A — -OH
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Q. Which of the following functions has a vertical asymptote?
A.
f(x) = x^2 + 1
B.
f(x) = 1/(x - 2)
C.
f(x) = e^x
D.
f(x) = log(x)
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Solution
The function f(x) = 1/(x - 2) has a vertical asymptote at x = 2, where the function is undefined.
Correct Answer: B — f(x) = 1/(x - 2)
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Q. Which of the following functions is an even function?
A.
f(x) = x^3
B.
f(x) = x^2
C.
f(x) = x + 1
D.
f(x) = sin(x)
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Solution
An even function satisfies f(-x) = f(x). Here, f(x) = x^2 is even.
Correct Answer: B — f(x) = x^2
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Q. Which of the following functions is continuous at x = 2?
A.
f(x) = 1/x
B.
f(x) = x^2 - 4
C.
f(x) = sin(1/x)
D.
f(x) =
.
x
.
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Solution
f(x) = x^2 - 4 is a polynomial function and is continuous everywhere, including at x = 2.
Correct Answer: B — f(x) = x^2 - 4
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Q. Which of the following functions is continuous at x = 2? f(x) = { x^2 - 4, x < 2; 3x - 6, x >= 2 }
A.
Continuous
B.
Not continuous
C.
Depends on k
D.
None of the above
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Solution
At x = 2, f(2) = 0 and limit from left is 0, limit from right is also 0. Hence, it is continuous.
Correct Answer: A — Continuous
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Q. Which of the following functions is continuous at x = 2? f(x) = { x^2, x < 2; 4, x = 2; 2x, x > 2 }
A.
Continuous
B.
Not continuous
C.
Depends on k
D.
None of the above
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Solution
To check continuity at x = 2, we find the left limit (4), right limit (4), and f(2) (4). All are equal, so f(x) is continuous.
Correct Answer: A — Continuous
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Q. Which of the following functions is continuous everywhere?
A.
f(x) = 1/x
B.
f(x) = x^2
C.
f(x) = sin(x)
D.
f(x) =
.
x
.
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Solution
f(x) = x^2 is a polynomial function and is continuous everywhere.
Correct Answer: B — f(x) = x^2
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Q. Which of the following functions is differentiable at x = 1? f(x) = { x^2, x < 1; 2x - 1, x >= 1 }
A.
f(1) = 1
B.
f(1) = 0
C.
f(1) = 2
D.
f(1) = 3
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Solution
Check continuity and differentiability at x = 1 by equating left and right derivatives.
Correct Answer: A — f(1) = 1
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Q. Which of the following functions is differentiable everywhere?
A.
f(x) =
B.
x
C.
D.
f(x) = x^2
.
f(x) = sqrt(x)
.
f(x) = 1/x
Show solution
Solution
f(x) = x^2 is a polynomial and differentiable everywhere.
Correct Answer: B — x
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