Q. Which of the following reactions is an example of hydrogenation? (2023)
A.
Addition of H2 to ethene
B.
Decomposition of water
C.
Formation of ammonia from nitrogen and hydrogen
D.
Combustion of hydrogen
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Solution
Hydrogenation refers to the addition of hydrogen (H2) to unsaturated hydrocarbons, such as the addition to ethene to form ethane.
Correct Answer: A — Addition of H2 to ethene
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Q. Which of the following reactions is characteristic of aldehydes? (2023)
A.
Oxidation to carboxylic acids
B.
Reduction to alcohols
C.
Condensation with alcohols
D.
All of the above
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Solution
Aldehydes can undergo oxidation to form carboxylic acids, reduction to form alcohols, and condensation with alcohols to form hemiacetals.
Correct Answer: D — All of the above
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Q. Which of the following reactions is characteristic of alkanes?
A.
Electrophilic substitution
B.
Nucleophilic substitution
C.
Free radical substitution
D.
Addition reaction
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Solution
Alkanes undergo free radical substitution reactions, especially in the presence of halogens.
Correct Answer: C — Free radical substitution
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Q. Which of the following reactions is characteristic of alkenes?
A.
Electrophilic addition
B.
Nucleophilic substitution
C.
Free radical substitution
D.
Elimination
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Solution
Alkenes undergo electrophilic addition reactions due to the presence of a double bond.
Correct Answer: A — Electrophilic addition
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Q. Which of the following reactions is characteristic of aromatic compounds?
A.
Addition reaction
B.
Substitution reaction
C.
Elimination reaction
D.
Redox reaction
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Solution
Aromatic compounds typically undergo electrophilic substitution reactions rather than addition reactions due to their stable aromaticity.
Correct Answer: B — Substitution reaction
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Q. Which of the following reactions is expected to have a positive change in entropy?
A.
N2(g) + 3H2(g) → 2NH3(g)
B.
C(s) + O2(g) → CO2(g)
C.
2H2O(l) → 2H2(g) + O2(g)
D.
CaCO3(s) → CaO(s) + CO2(g)
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Solution
The decomposition of liquid water into gaseous hydrogen and oxygen increases the number of gas molecules, leading to a positive change in entropy.
Correct Answer: C — 2H2O(l) → 2H2(g) + O2(g)
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Q. Which of the following reactions is likely to have a negative ΔG?
A.
Combustion of hydrocarbons.
B.
Formation of ice from water at 0°C.
C.
Dissolution of salt in water.
D.
Decomposition of hydrogen peroxide.
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Solution
The combustion of hydrocarbons is highly exothermic and typically has a negative ΔG, indicating spontaneity.
Correct Answer: A — Combustion of hydrocarbons.
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Q. Which of the following reactions is not typical for alkenes?
A.
Addition of H2
B.
Addition of HCl
C.
Elimination of H2O
D.
Substitution reaction
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Solution
Alkenes typically undergo addition reactions rather than substitution reactions.
Correct Answer: D — Substitution reaction
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Q. Which of the following reactions is spontaneous at all temperatures?
A.
ΔH < 0 and ΔS < 0
B.
ΔH > 0 and ΔS > 0
C.
ΔH < 0 and ΔS > 0
D.
ΔH > 0 and ΔS < 0
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Solution
A reaction with ΔH < 0 and ΔS > 0 is spontaneous at all temperatures because it results in a negative ΔG.
Correct Answer: C — ΔH < 0 and ΔS > 0
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Q. Which of the following reactions will have a negative ΔG at high temperatures?
A.
Exothermic reactions with negative ΔS
B.
Endothermic reactions with positive ΔS
C.
Exothermic reactions with positive ΔS
D.
Endothermic reactions with negative ΔS
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Solution
Endothermic reactions with positive ΔS can have a negative ΔG at high temperatures due to the TΔS term becoming significant.
Correct Answer: B — Endothermic reactions with positive ΔS
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Q. Which of the following regions is known for its unique biodiversity and is often referred to as a 'biodiversity hotspot'?
A.
Amazon Rainforest
B.
Sahara Desert
C.
Himalayan Region
D.
Great Plains
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Solution
The Amazon Rainforest is recognized as a biodiversity hotspot due to its vast array of plant and animal species, many of which are endemic to the region.
Correct Answer: A — Amazon Rainforest
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Q. Which of the following relations is an equivalence relation on the set of integers?
A.
x ~ y if x + y is even
B.
x ~ y if x - y is prime
C.
x ~ y if x > y
D.
x ~ y if x = y
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Solution
The relation x ~ y if x + y is even is reflexive, symmetric, and transitive, thus it is an equivalence relation.
Correct Answer: A — x ~ y if x + y is even
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Q. Which of the following relations is not a function?
A.
R = {(1, 2), (2, 3), (3, 4)}
B.
R = {(1, 2), (1, 3)}
C.
R = {(2, 3), (3, 4)}
D.
R = {(4, 5), (5, 6)}
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Solution
R = {(1, 2), (1, 3)} is not a function because the input 1 maps to two different outputs.
Correct Answer: B — R = {(1, 2), (1, 3)}
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Q. Which of the following relations on the set of integers is not a function?
A.
R1 = {(1, 2), (1, 3)}
B.
R2 = {(2, 3), (3, 4)}
C.
R3 = {(4, 5)}
D.
R4 = {(5, 6), (6, 7)}
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Solution
R1 is not a function because the input 1 maps to two different outputs (2 and 3).
Correct Answer: A — R1 = {(1, 2), (1, 3)}
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Q. Which of the following represents a family of circles with varying radii?
A.
(x - h)^2 + (y - k)^2 = r^2
B.
(x - h)^2 + (y - k) = r
C.
x^2 + y^2 = r
D.
x^2 + y^2 = kx
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Solution
The equation (x - h)^2 + (y - k)^2 = r^2 represents a circle centered at (h, k) with radius r.
Correct Answer: A — (x - h)^2 + (y - k)^2 = r^2
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Q. Which of the following represents a family of curves for the equation y = a sin(bx)?
A.
Linear functions
B.
Exponential functions
C.
Sine waves with varying amplitudes and frequencies
D.
Quadratic functions
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Solution
The equation y = a sin(bx) represents sine waves where 'a' is the amplitude and 'b' is the frequency.
Correct Answer: C — Sine waves with varying amplitudes and frequencies
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Q. Which of the following represents a family of curves for the equation y = ax^2 + bx + c?
A.
Linear functions
B.
Quadratic functions
C.
Cubic functions
D.
Exponential functions
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Solution
The equation y = ax^2 + bx + c represents a family of quadratic functions where 'a', 'b', and 'c' are constants.
Correct Answer: B — Quadratic functions
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Q. Which of the following represents a family of exponential curves?
A.
y = ae^(bx)
B.
y = ax^2 + bx + c
C.
y = a sin(bx)
D.
y = a log(bx)
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Solution
The equation y = ae^(bx) represents a family of exponential curves where a and b are constants.
Correct Answer: A — y = ae^(bx)
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Q. Which of the following represents a family of straight lines?
A.
y = mx + c
B.
y = ax^2 + bx + c
C.
y = e^x
D.
y = sin(x)
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Solution
The equation y = mx + c represents a family of straight lines for different values of m and c.
Correct Answer: A — y = mx + c
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Q. Which of the following represents a homozygous dominant genotype? (2021)
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Solution
The genotype 'AA' represents a homozygous dominant individual.
Correct Answer: A — AA
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Q. Which of the following represents a hyperbola with transverse axis along the x-axis?
A.
x^2/a^2 - y^2/b^2 = 1
B.
y^2/a^2 - x^2/b^2 = 1
C.
x^2/b^2 - y^2/a^2 = 1
D.
y^2/b^2 - x^2/a^2 = 1
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Solution
The equation x^2/a^2 - y^2/b^2 = 1 represents a hyperbola with transverse axis along the x-axis.
Correct Answer: A — x^2/a^2 - y^2/b^2 = 1
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Q. Which of the following represents a phenotype? (2021)
A.
BB
B.
Bb
C.
bb
D.
Brown eyes
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Solution
A phenotype is the observable characteristic, such as brown eyes.
Correct Answer: D — Brown eyes
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Q. Which of the following represents a physical change?
A.
Burning wood
B.
Dissolving sugar in water
C.
Rusting of iron
D.
Cooking an egg
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Solution
Dissolving sugar in water is a physical change as it does not alter the chemical composition of sugar.
Correct Answer: B — Dissolving sugar in water
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Q. Which of the following represents a systematic error? (2020)
A.
Calibration error
B.
Random fluctuations
C.
Environmental changes
D.
Human error
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Solution
Systematic errors are consistent and repeatable inaccuracies, often due to calibration errors.
Correct Answer: A — Calibration error
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Q. Which of the following represents a test cross? (2020)
A.
AA x aa
B.
Aa x Aa
C.
AA x Aa
D.
aa x aa
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Solution
A test cross is performed by crossing an individual with a homozygous recessive individual (AA x aa) to determine the genotype of the former.
Correct Answer: A — AA x aa
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Q. Which of the following represents an endothermic reaction?
A.
Combustion of gasoline
B.
Dissolving ammonium nitrate in water
C.
Respiration
D.
Rusting of iron
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Solution
Dissolving ammonium nitrate in water absorbs heat, making it an endothermic reaction.
Correct Answer: B — Dissolving ammonium nitrate in water
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Q. Which of the following represents the change of base formula for logarithms?
A.
log_a(b) = log_c(b) / log_c(a)
B.
log_a(b) = log_c(a) / log_c(b)
C.
log_a(b) = log_c(b) * log_c(a)
D.
log_a(b) = log_c(a) + log_c(b)
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Solution
The change of base formula states that log_a(b) can be expressed as log_c(b) divided by log_c(a).
Correct Answer: A — log_a(b) = log_c(b) / log_c(a)
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Q. Which of the following represents the concept of significant figures? (2023)
A.
All digits in a number
B.
Only the non-zero digits
C.
All digits except leading zeros
D.
All digits except trailing zeros
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Solution
Significant figures include all non-zero digits and any zeros between them or trailing after a decimal point.
Correct Answer: C — All digits except leading zeros
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Q. Which of the following represents the correct relationship between moles and mass?
A.
Moles = Mass / Molar Mass
B.
Mass = Moles x Molar Mass
C.
Molar Mass = Mass / Moles
D.
All of the above
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Solution
All the given relationships are correct and represent the conversion between moles, mass, and molar mass.
Correct Answer: D — All of the above
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Q. Which of the following represents the correct relationship between moles, mass, and molar mass?
A.
moles = mass × molar mass
B.
mass = moles × molar mass
C.
molar mass = mass / moles
D.
mass = moles / molar mass
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Solution
The correct relationship is mass = moles × molar mass.
Correct Answer: B — mass = moles × molar mass
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