Major Competitive Exams

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Major Competitive Exams

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Major Competitive Exams MCQ & Objective Questions

Major Competitive Exams play a crucial role in shaping the academic and professional futures of students in India. These exams not only assess knowledge but also test problem-solving skills and time management. Practicing MCQs and objective questions is essential for scoring better, as they help in familiarizing students with the exam format and identifying important questions that frequently appear in tests.

What You Will Practise Here

Key concepts and theories related to major subjects
Important formulas and their applications
Definitions of critical terms and terminologies
Diagrams and illustrations to enhance understanding
Practice questions that mirror actual exam patterns
Strategies for solving objective questions efficiently
Time management techniques for competitive exams

Exam Relevance

The topics covered under Major Competitive Exams are integral to various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter a mix of conceptual and application-based questions that require a solid understanding of the subjects. Common question patterns include multiple-choice questions that test both knowledge and analytical skills, making it essential to be well-prepared with practice MCQs.

Common Mistakes Students Make

Rushing through questions without reading them carefully
Overlooking the negative marking scheme in MCQs
Confusing similar concepts or terms
Neglecting to review previous years’ question papers
Failing to manage time effectively during the exam

FAQs

Question: How can I improve my performance in Major Competitive Exams?
Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.

Question: What types of questions should I focus on for these exams?
Answer: Concentrate on important Major Competitive Exams questions that frequently appear in past papers and mock tests.

Question: Are there specific strategies for tackling objective questions?
Answer: Yes, practicing under timed conditions and reviewing mistakes can help develop effective strategies.

Start your journey towards success by solving practice MCQs today! Test your understanding and build confidence for your upcoming exams. Remember, consistent practice is the key to mastering Major Competitive Exams!

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Q. What is the relationship between the angles formed when two lines intersect? (2022)

A. They are all equal
B. They are supplementary
C. They are complementary
D. They are congruent

Solution

When two lines intersect, the angles formed are supplementary, meaning they add up to 180 degrees.

Correct Answer: B — They are supplementary

Q. What is the relationship between the angles in a linear pair?

A. They are equal.
B. They are complementary.
C. They are supplementary.
D. They are adjacent.

Solution

Angles in a linear pair are supplementary, meaning they add up to 180 degrees.

Correct Answer: C — They are supplementary.

Q. What is the relationship between the angles in a triangle?

A. They can be any combination of acute, right, or obtuse.
B. They must all be acute.
C. They must sum to 180 degrees.
D. One angle must be obtuse.

Solution

The sum of the angles in any triangle is always 180 degrees.

Correct Answer: C — They must sum to 180 degrees.

Q. What is the relationship between the angles of an equilateral triangle? (2023)

A. All angles are 60 degrees
B. All angles are 90 degrees
C. Two angles are equal
D. No angles are equal

Solution

In an equilateral triangle, all three angles are equal and measure 60 degrees each.

Correct Answer: A — All angles are 60 degrees

Q. What is the relationship between the angles subtended by the same arc at the center and at the circumference of a circle?

A. They are equal.
B. The angle at the center is twice that at the circumference.
C. The angle at the circumference is twice that at the center.
D. They are complementary.

Solution

The angle subtended at the center is always twice that subtended at the circumference.

Correct Answer: B — The angle at the center is twice that at the circumference.

Q. What is the relationship between the angular velocity (ω) and the linear velocity (v) in circular motion?

A. v = ωr
B. v = r/ω
C. v = ω²r
D. v = r²ω

Solution

The relationship is given by v = ωr, where r is the radius of the circular path.

Correct Answer: A — v = ωr

Q. What is the relationship between the angular velocity and linear velocity of an object moving in a circular path?

A. v = ωr
B. v = r/ω
C. v = ω/r
D. v = ω²r

Solution

Linear velocity (v) is related to angular velocity (ω) by the formula v = ωr.

Correct Answer: A — v = ωr

Q. What is the relationship between the angular velocity and linear velocity of an object in circular motion?

A. v = ωr
B. v = r/ω
C. v = ω/r
D. v = ω²r

Solution

Linear velocity (v) is related to angular velocity (ω) by the equation v = ωr.

Correct Answer: A — v = ωr

Q. What is the relationship between the average kinetic energy of gas molecules and temperature?

A. KE ∝ T
B. KE ∝ T^2
C. KE ∝ 1/T
D. KE ∝ T^3

Solution

The average kinetic energy of gas molecules is directly proportional to the absolute temperature (KE ∝ T).

Correct Answer: A — KE ∝ T

Q. What is the relationship between the average speed and RMS speed of a gas?

A. RMS speed is always greater than average speed
B. RMS speed is always less than average speed
C. RMS speed equals average speed
D. RMS speed is independent of average speed

Solution

For an ideal gas, the RMS speed is always greater than the average speed due to the squaring of velocities in the RMS calculation.

Correct Answer: A — RMS speed is always greater than average speed

Q. What is the relationship between the average speed and RMS speed of gas molecules?

A. RMS speed is always greater than average speed
B. RMS speed is always less than average speed
C. RMS speed equals average speed
D. RMS speed is independent of average speed

Solution

For an ideal gas, the RMS speed is always greater than the average speed due to the nature of the distribution of molecular speeds.

Correct Answer: A — RMS speed is always greater than average speed

Q. What is the relationship between the Celsius and Kelvin scales?

A. K = C + 273.15
B. C = K + 273.15
C. K = C - 273.15
D. C = K - 273.15

Solution

The relationship is K = C + 273.15, where K is the temperature in Kelvin and C is the temperature in Celsius.

Correct Answer: A — K = C + 273.15

Q. What is the relationship between the corresponding angles when two parallel lines are cut by a transversal? (2022)

A. They are equal
B. They are supplementary
C. They are complementary
D. They are unequal

Solution

When two parallel lines are cut by a transversal, the corresponding angles are equal.

Correct Answer: A — They are equal

Q. What is the relationship between the damping coefficient and the type of damping?

A. Higher coefficient indicates under-damping
B. Lower coefficient indicates over-damping
C. Critical damping occurs at a specific coefficient
D. Damping coefficient has no effect

Solution

Critical damping occurs at a specific value of the damping coefficient, which separates under-damping from over-damping.

Correct Answer: C — Critical damping occurs at a specific coefficient

Q. What is the relationship between the damping ratio and the type of damping in a system?

A. Damping ratio < 1 indicates overdamping
B. Damping ratio = 1 indicates critical damping
C. Damping ratio > 1 indicates underdamping
D. Damping ratio = 0 indicates critical damping

Solution

A damping ratio of 1 indicates critical damping, while less than 1 indicates underdamping and greater than 1 indicates overdamping.

Correct Answer: B — Damping ratio = 1 indicates critical damping

Q. What is the relationship between the damping ratio and the type of damping?

A. Damping ratio < 1: Underdamping
B. Damping ratio = 1: Overdamping
C. Damping ratio > 1: Critical damping
D. Damping ratio = 0: Overdamping

Solution

A damping ratio less than 1 indicates underdamping, equal to 1 indicates critical damping, and greater than 1 indicates overdamping.

Correct Answer: A — Damping ratio < 1: Underdamping

Q. What is the relationship between the density of a gas and its molar mass at constant temperature and pressure?

A. Density is directly proportional to molar mass
B. Density is inversely proportional to molar mass
C. Density is independent of molar mass
D. Density is equal to molar mass

Solution

At constant temperature and pressure, density is directly proportional to molar mass according to the ideal gas law.

Correct Answer: A — Density is directly proportional to molar mass

Q. What is the relationship between the diagonals of a rectangle? (2023)

A. They are equal
B. They are perpendicular
C. They bisect each other at right angles
D. They are unequal

Solution

In a rectangle, the diagonals are equal in length.

Correct Answer: A — They are equal

Q. What is the relationship between the electric field and magnetic field in polarized light?

A. They are always perpendicular to each other
B. They oscillate in the same direction
C. They are in phase with each other
D. They have varying amplitudes

Solution

In polarized light, the electric field and magnetic field are always perpendicular to each other.

Correct Answer: A — They are always perpendicular to each other

Q. What is the relationship between the electric field vector and the direction of propagation in linearly polarized light?

A. They are perpendicular
B. They are parallel
C. They are at 45 degrees
D. They are randomly oriented

Solution

In linearly polarized light, the electric field vector is perpendicular to the direction of propagation.

Correct Answer: A — They are perpendicular

Q. What is the relationship between the equilibrium constant (K) and the Gibbs free energy change (ΔG) for a reaction?

A. ΔG = -RT ln(K)
B. ΔG = RT ln(K)
C. ΔG = KRT
D. ΔG = K/R

Solution

The relationship is given by the equation ΔG = -RT ln(K), where R is the gas constant and T is the temperature in Kelvin.

Correct Answer: A — ΔG = -RT ln(K)

Q. What is the relationship between the equilibrium constant (K) and the Gibbs free energy change (ΔG) at standard conditions? (2022)

A. ΔG = -RT ln(K)
B. ΔG = RT ln(K)
C. ΔG = KRT
D. ΔG = K/R

Solution

The relationship is given by ΔG = -RT ln(K), where R is the gas constant and T is the temperature in Kelvin.

Correct Answer: A — ΔG = -RT ln(K)

Q. What is the relationship between the equilibrium constant (K) and the reaction quotient (Q)?

A. K = Q at equilibrium
B. K > Q at equilibrium
C. K < Q at equilibrium
D. K is independent of Q

Solution

At equilibrium, the reaction quotient Q is equal to the equilibrium constant K.

Correct Answer: A — K = Q at equilibrium

Q. What is the relationship between the equilibrium constants Kp and Kc for a gaseous reaction?

A. Kp = Kc
B. Kp = Kc(RT)^(Δn)
C. Kp = Kc/RT
D. Kp = Kc(RT)^(Δn) where Δn is the change in moles of gas

Solution

The relationship between Kp and Kc is given by Kp = Kc(RT)^(Δn), where Δn is the change in the number of moles of gas.

Correct Answer: B — Kp = Kc(RT)^(Δn)

Q. What is the relationship between the exterior angle and the two opposite interior angles of a triangle? (2019)

A. They are equal
B. The exterior angle is greater
C. The exterior angle is less
D. They are complementary

Solution

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Correct Answer: B — The exterior angle is greater

Q. What is the relationship between the first and last paragraphs of the passage?

A. They present opposing viewpoints.
B. They provide a chronological account.
C. They frame the discussion with a common theme.
D. They introduce unrelated topics.

Solution

The first and last paragraphs frame the discussion with a common theme, linking the introduction to the conclusion.

Correct Answer: C — They frame the discussion with a common theme.

Q. What is the relationship between the first term and the common ratio if the sum of an infinite GP converges?

A. The first term must be zero.
B. The common ratio must be less than one in absolute value.
C. The first term must be greater than the common ratio.
D. The common ratio must be greater than one.

Solution

For the sum of an infinite GP to converge, the common ratio must be less than one in absolute value.

Correct Answer: B — The common ratio must be less than one in absolute value.

Q. What is the relationship between the frequency and period of a wave?

A. Frequency = Period × Speed
B. Frequency = 1/Period
C. Frequency = Speed × Wavelength
D. Frequency = Wavelength/Speed

Solution

The relationship is given by Frequency = 1/Period.

Correct Answer: B — Frequency = 1/Period

Q. What is the relationship between the frequency and the inductive reactance in an AC circuit? (2022)

A. Directly proportional
B. Inversely proportional
C. No relation
D. Exponential relation

Solution

Inductive reactance is directly proportional to the frequency of the AC source.

Correct Answer: A — Directly proportional

Q. What is the relationship between the frequency and the inductive reactance? (2023)

A. Directly proportional
B. Inversely proportional
C. No relationship
D. Exponentially related

Solution

Inductive reactance (X_L) is directly proportional to frequency (f), as given by the formula X_L = 2πfL.

Correct Answer: A — Directly proportional

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