Q. Which of the following statements is true regarding coordination compounds?
A.
They always have a fixed oxidation state.
B.
They can exhibit different colors.
C.
They cannot form isomers.
D.
They are always soluble in water.
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Solution
Coordination compounds can exhibit different colors due to the presence of different ligands and their ability to split d-orbitals.
Correct Answer:
B
— They can exhibit different colors.
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Q. Which of the following statements is true regarding divisibility by 5?
A.
A number must end in 0 or 5
B.
A number must be even
C.
A number must be a multiple of 10
D.
A number must be a prime number
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Solution
A number is divisible by 5 if it ends in either 0 or 5.
Correct Answer:
A
— A number must end in 0 or 5
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Q. Which of the following statements is true regarding divisibility by 9?
A.
The number must end in 0
B.
The sum of the digits must be divisible by 9
C.
The number must be even
D.
The last digit must be 9
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Solution
A number is divisible by 9 if the sum of its digits is divisible by 9.
Correct Answer:
B
— The sum of the digits must be divisible by 9
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Q. Which of the following statements is true regarding dynamic equilibrium?
A.
The concentrations of reactants and products are equal
B.
The rate of the forward reaction equals the rate of the reverse reaction
C.
The reaction has stopped
D.
All reactions reach dynamic equilibrium
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Solution
Dynamic equilibrium occurs when the rate of the forward reaction equals the rate of the reverse reaction, not necessarily when concentrations are equal.
Correct Answer:
B
— The rate of the forward reaction equals the rate of the reverse reaction
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Q. Which of the following statements is true regarding electric current? (2020)
A.
It flows from negative to positive
B.
It flows from positive to negative
C.
It does not require a closed circuit
D.
It is independent of voltage
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Solution
Electric current flows from positive to negative in a circuit.
Correct Answer:
B
— It flows from positive to negative
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Q. Which of the following statements is true regarding electric field lines?
A.
They can cross each other
B.
They are always straight
C.
They point from positive to negative charges
D.
They are always circular
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Solution
Electric field lines point from positive to negative charges and never cross each other.
Correct Answer:
C
— They point from positive to negative charges
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Q. Which of the following statements is true regarding enthalpy?
A.
Enthalpy is a state function
B.
Enthalpy depends on the path taken
C.
Enthalpy cannot be measured
D.
Enthalpy is always positive
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Solution
Enthalpy is a state function, meaning it depends only on the initial and final states, not the path taken.
Correct Answer:
A
— Enthalpy is a state function
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Q. Which of the following statements is true regarding entropy?
A.
Entropy is a state function.
B.
Entropy can never decrease.
C.
Entropy is independent of temperature.
D.
Entropy is always positive.
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Solution
Entropy is a state function, meaning it depends only on the state of the system and not on how it reached that state.
Correct Answer:
A
— Entropy is a state function.
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Q. Which of the following statements is true regarding exothermic reactions? (2021)
A.
They absorb heat.
B.
They release heat.
C.
They require energy input.
D.
They have a positive enthalpy change.
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Solution
Exothermic reactions release heat, resulting in a negative enthalpy change.
Correct Answer:
B
— They release heat.
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Q. Which of the following statements is true regarding factors and multiples?
A.
All factors are multiples.
B.
All multiples are factors.
C.
Factors are always less than multiples.
D.
Multiples are always less than factors.
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Solution
Factors of a number are the integers that can divide that number without leaving a remainder, while multiples are the result of multiplying that number by an integer. Hence, factors are always less than or equal to multiples.
Correct Answer:
C
— Factors are always less than multiples.
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Q. Which of the following statements is true regarding Gibbs Free Energy?
A.
ΔG is always positive for spontaneous processes.
B.
ΔG = ΔH - TΔS.
C.
ΔG can never be negative.
D.
ΔG is independent of temperature.
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Solution
The correct equation for Gibbs Free Energy is ΔG = ΔH - TΔS, which relates enthalpy, entropy, and temperature.
Correct Answer:
B
— ΔG = ΔH - TΔS.
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Q. Which of the following statements is true regarding gravitational fields? (2022)
A.
Gravitational fields are always attractive
B.
Gravitational fields can be repulsive
C.
Gravitational fields are independent of mass
D.
Gravitational fields do not exist in space
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Solution
Gravitational fields are always attractive, pulling masses towards each other.
Correct Answer:
A
— Gravitational fields are always attractive
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Q. Which of the following statements is true regarding gravitational force?
A.
It is a contact force
B.
It acts only on Earth
C.
It is always attractive
D.
It can be repulsive
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Solution
Gravitational force is always attractive, acting between any two masses.
Correct Answer:
C
— It is always attractive
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Q. Which of the following statements is true regarding gravitational potential energy?
A.
It is always positive
B.
It can be negative
C.
It is independent of height
D.
It is only defined for objects at rest
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Solution
Gravitational potential energy can be negative when an object is below a reference point, such as the Earth's surface.
Correct Answer:
B
— It can be negative
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Q. Which of the following statements is true regarding harmonic progression?
A.
The sum of the terms is always positive.
B.
The terms can be negative.
C.
The terms are always integers.
D.
The common difference is constant.
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Solution
In a harmonic progression, the terms can indeed be negative, as the definition does not restrict the terms to positive values.
Correct Answer:
B
— The terms can be negative.
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Q. Which of the following statements is true regarding harmonic progressions?
A.
The sum of the terms is always constant.
B.
The product of the terms is always constant.
C.
The reciprocals of the terms form an arithmetic progression.
D.
The terms are always integers.
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Solution
In a harmonic progression, the reciprocals of the terms indeed form an arithmetic progression.
Correct Answer:
C
— The reciprocals of the terms form an arithmetic progression.
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Q. Which of the following statements is true regarding HCF and LCM? (2023)
A.
HCF is always greater than LCM
B.
HCF and LCM can be equal
C.
HCF is the product of prime factors
D.
LCM is always less than HCF
Show solution
Solution
HCF and LCM can be equal when both numbers are the same.
Correct Answer:
B
— HCF and LCM can be equal
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Q. Which of the following statements is true regarding ideal gases? (2023)
A.
They have no volume
B.
They attract each other
C.
They occupy no space
D.
They have mass
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Solution
Ideal gases are considered to have no volume and no intermolecular forces.
Correct Answer:
A
— They have no volume
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Q. Which of the following statements is true regarding ideal solutions?
A.
They obey Raoult's Law at all concentrations.
B.
They do not exhibit any deviation from Raoult's Law.
C.
They have a constant boiling point.
D.
They have a variable composition.
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Solution
Ideal solutions obey Raoult's Law without any deviation, meaning their properties are consistent with the law across all concentrations.
Correct Answer:
B
— They do not exhibit any deviation from Raoult's Law.
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Q. Which of the following statements is true regarding isotopes?
A.
They have the same number of protons
B.
They have different chemical properties
C.
They have different atomic numbers
D.
They have the same mass number
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Solution
Isotopes of an element have the same number of protons but different numbers of neutrons, leading to different mass numbers.
Correct Answer:
A
— They have the same number of protons
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Q. Which of the following statements is true regarding laminar flow?
A.
It occurs at high velocities
B.
It is characterized by smooth and orderly fluid motion
C.
It has a high Reynolds number
D.
It is turbulent in nature
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Solution
Laminar flow is characterized by smooth and orderly fluid motion, typically occurring at low velocities.
Correct Answer:
B
— It is characterized by smooth and orderly fluid motion
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Q. Which of the following statements is true regarding Lenz's law?
A.
It states that induced current flows in the same direction as the change in magnetic field.
B.
It states that induced current flows in the opposite direction to the change in magnetic field.
C.
It has no relation to electromagnetic induction.
D.
It only applies to static magnetic fields.
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Solution
Lenz's law states that the direction of induced current is such that it opposes the change in magnetic flux that produced it.
Correct Answer:
B
— It states that induced current flows in the opposite direction to the change in magnetic field.
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Q. Which of the following statements is true regarding magnetic field lines?
A.
They can cross each other
B.
They are always straight
C.
They form closed loops
D.
They originate from magnetic monopoles
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Solution
Magnetic field lines form closed loops, meaning they exit from the north pole and enter the south pole, and they do not cross each other.
Correct Answer:
C
— They form closed loops
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Q. Which of the following statements is true regarding mesomeric effect?
A.
It is a permanent effect
B.
It is a temporary effect
C.
It only applies to alkenes
D.
It increases acidity
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Solution
The mesomeric effect is a permanent effect due to the delocalization of electrons.
Correct Answer:
A
— It is a permanent effect
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Q. Which of the following statements is true regarding modular arithmetic?
A.
It is only applicable to integers.
B.
It can be used for real numbers.
C.
It is not useful in computer science.
D.
It is only used in cryptography.
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Solution
Modular arithmetic is primarily applicable to integers, making the first statement true.
Correct Answer:
A
— It is only applicable to integers.
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Q. Which of the following statements is true regarding non-ideal solutions?
A.
They obey Raoult's Law perfectly.
B.
They show positive or negative deviations from Raoult's Law.
C.
Their vapor pressure is always higher than predicted by Raoult's Law.
D.
They cannot be formed by mixing two volatile liquids.
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Solution
Non-ideal solutions show positive or negative deviations from Raoult's Law due to interactions between different molecules.
Correct Answer:
B
— They show positive or negative deviations from Raoult's Law.
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Q. Which of the following statements is true regarding optical isomers?
A.
They are superimposable
B.
They have identical physical properties
C.
They rotate plane-polarized light in opposite directions
D.
They have different molecular formulas
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Solution
Optical isomers, or enantiomers, rotate plane-polarized light in opposite directions.
Correct Answer:
C
— They rotate plane-polarized light in opposite directions
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Q. Which of the following statements is true regarding prime numbers? (2023)
A.
Every prime number is a multiple of 1.
B.
Prime numbers have exactly two distinct positive divisors.
C.
All even numbers are prime.
D.
The number 1 is a prime number.
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Solution
Prime numbers are defined as having exactly two distinct positive divisors: 1 and the number itself.
Correct Answer:
B
— Prime numbers have exactly two distinct positive divisors.
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Q. Which of the following statements is true regarding Raoult's Law?
A.
It applies to all types of solutions.
B.
It is only applicable to ideal solutions.
C.
It can be used for any solute-solvent combination.
D.
It is not applicable to volatile solutes.
Show solution
Solution
Raoult's Law is primarily applicable to ideal solutions, where the solute and solvent behave similarly.
Correct Answer:
B
— It is only applicable to ideal solutions.
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Q. Which of the following statements is true regarding redox reactions?
A.
Oxidation involves gain of electrons.
B.
Reduction involves loss of electrons.
C.
Oxidizing agents are reduced.
D.
Reducing agents are oxidized.
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Solution
Oxidizing agents are reduced in redox reactions.
Correct Answer:
C
— Oxidizing agents are reduced.
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