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. If the frequency of a vibrating tuning fork is 440 Hz, what is the time period of the vibration? (2023)

A. 0.00227 s
B. 0.005 s
C. 0.01 s
D. 0.0227 s

Solution

The time period T is the reciprocal of frequency f, T = 1/f. Therefore, T = 1/440 ≈ 0.00227 s.

Correct Answer: A — 0.00227 s

Q. If the frequency of a wave is doubled, what happens to its wavelength, assuming the speed of the wave remains constant?

A. Wavelength doubles
B. Wavelength halves
C. Wavelength remains the same
D. Wavelength quadruples

Solution

According to the wave equation v = fλ, if frequency (f) is doubled and speed (v) remains constant, the wavelength (λ) must halve.

Correct Answer: B — Wavelength halves

Q. If the frequency of a wave is doubled, what happens to its wavelength, assuming the speed remains constant? (2021)

A. Doubles
B. Halves
C. Remains the same
D. Quadruples

Solution

Wavelength (λ) is inversely proportional to frequency (f) when speed (v) is constant: λ = v/f. If f is doubled, λ is halved.

Correct Answer: B — Halves

Q. If the frequency of a wave is doubled, what happens to its wavelength?

A. It doubles
B. It halves
C. It remains the same
D. It quadruples

Solution

The speed of a wave is given by the product of its frequency and wavelength (v = fλ). If the frequency is doubled, the wavelength must be halved to keep the speed constant.

Correct Answer: B — It halves

Q. If the frequency of a wave is halved, what happens to its wavelength? (2015)

A. Halves
B. Doubles
C. Remains the same
D. Increases by four times

Solution

Wavelength is inversely proportional to frequency. If frequency is halved, wavelength doubles.

Correct Answer: B — Doubles

Q. If the frequency of an AC circuit is doubled, what happens to the inductive reactance?

A. It doubles
B. It halves
C. It remains the same
D. It quadruples

Solution

Inductive reactance (X_L) is given by X_L = 2πfL. If the frequency (f) is doubled, the inductive reactance also doubles.

Correct Answer: A — It doubles

Q. If the frequency of an AC signal is doubled, what happens to its period?

A. It doubles
B. It halves
C. It remains the same
D. It quadruples

Solution

The period T is the reciprocal of frequency f (T = 1/f). If frequency is doubled, the period halves.

Correct Answer: B — It halves

Q. If the frequency of an AC source is 50 Hz, what is the time period of the AC signal? (2019)

A. 0.02 s
B. 0.01 s
C. 0.5 s
D. 1 s

Solution

The time period (T) is the reciprocal of frequency (f). Therefore, T = 1/f = 1/50 Hz = 0.02 s.

Correct Answer: A — 0.02 s

Q. If the frequency of an AC source is 60 Hz, what is the time period of the AC signal?

A. 0.0167 s
B. 0.0333 s
C. 0.05 s
D. 0.1 s

Solution

The time period (T) is the reciprocal of frequency (f). T = 1/f = 1/60 Hz = 0.0167 s.

Correct Answer: B — 0.0333 s

Q. If the frequency of an AC source is doubled, how does the inductive reactance change? (2020)

A. Doubles
B. Halves
C. Remains the same
D. Quadruples

Solution

Xl = 2πfL; if f is doubled, Xl also doubles.

Correct Answer: B — Halves

Q. If the frequency of an AC source is doubled, what happens to the inductive reactance? (2014)

A. It doubles
B. It halves
C. It remains the same
D. It quadruples

Solution

Inductive reactance XL = 2πfL, so if frequency f is doubled, XL halves.

Correct Answer: B — It halves

Q. If the frequency of an AC source is doubled, what happens to the inductive reactance of an inductor? (2021)

A. It doubles
B. It halves
C. It remains the same
D. It quadruples

Solution

Inductive reactance Xl = ωL, so if frequency is doubled, Xl halves.

Correct Answer: B — It halves

Q. If the frequency of an AC source is doubled, what happens to the reactance of a capacitor? (2023)

A. It doubles
B. It halves
C. It remains the same
D. It quadruples

Solution

The capacitive reactance Xc = 1/(2πfC) halves when the frequency f is doubled.

Correct Answer: B — It halves

Q. If the frequency of an AC source is doubled, what happens to the reactance of an inductor? (2023)

A. It doubles
B. It halves
C. It remains the same
D. It quadruples

Solution

The reactance of an inductor is given by XL = ωL. If frequency is doubled, reactance also doubles.

Correct Answer: A — It doubles

Q. If the frequency of an AC source is increased, what happens to the capacitive reactance?

A. It increases
B. It decreases
C. It remains the same
D. It becomes infinite

Solution

Capacitive reactance X_C = 1/(ωC) decreases as frequency increases.

Correct Answer: B — It decreases

Q. If the frequency of an AC source is increased, what happens to the inductive reactance? (2019)

A. Increases
B. Decreases
C. Remains constant
D. Becomes zero

Solution

Inductive reactance (X_L) is directly proportional to frequency (f). Therefore, if frequency increases, X_L decreases.

Correct Answer: B — Decreases

Q. If the frequency of incident light is doubled, what happens to the kinetic energy of the emitted electrons?

A. It remains the same
B. It doubles
C. It quadruples
D. It decreases

Solution

The kinetic energy of the emitted electrons is given by KE = hf - φ. If the frequency is doubled, the kinetic energy increases as it is directly proportional to frequency.

Correct Answer: B — It doubles

Q. If the function f(x) = e^x + x^2 has a minimum at x = 0, then f(0) is:

A. 1
B. 0
C. 2
D. 3

Solution

Evaluating f(0) = e^0 + 0^2 = 1 + 0 = 1.

Correct Answer: A — 1

Q. If the function f(x) = x^2 - 4x + 3 has a minimum value, what is it?

A. -1
B. 0
C. 1
D. 2

Solution

The vertex form gives the minimum value at x = 2, f(2) = 1.

Correct Answer: A — -1

Q. If the function f(x) = x^3 - 3x + 2 has a local maximum, what is the value of x?

A. -1
B. 0
C. 1
D. 2

Solution

Setting f'(x) = 0 gives x = 1 as a local maximum.

Correct Answer: C — 1

Q. If the function f(x) is defined as f(x) = 2x + 1, what is the value of f(3)?

A. 5
B. 6
C. 7
D. 8

Solution

Substituting x = 3 into the function gives f(3) = 2(3) + 1 = 6 + 1 = 7.

Correct Answer: C — 7

Q. If the function g(x) = 2x + 3 is transformed to g(x) = 2(x - 1) + 3, what type of transformation has occurred?

A. Vertical shift up.
B. Vertical shift down.
C. Horizontal shift left.
D. Horizontal shift right.

Solution

The transformation g(x) = 2(x - 1) + 3 indicates a horizontal shift to the right by 1 unit.

Correct Answer: D — Horizontal shift right.

Q. If the galvanometer in a Wheatstone bridge has a high resistance, what is the effect on the sensitivity of the bridge?

A. Increases sensitivity
B. Decreases sensitivity
C. No effect
D. Depends on the resistances

Solution

A high resistance in the galvanometer increases the sensitivity of the bridge.

Correct Answer: A — Increases sensitivity

Q. If the galvanometer in a Wheatstone bridge has a resistance of 5Ω and the bridge is balanced, what is the current through the galvanometer?

A. Zero.
B. 5A.
C. 1A.
D. 10A.

Solution

In a balanced Wheatstone bridge, the current through the galvanometer is zero.

Correct Answer: A — Zero.

Q. If the galvanometer in a Wheatstone bridge shows a deflection, what does it indicate?

A. The bridge is balanced.
B. The bridge is unbalanced.
C. The resistances are equal.
D. The circuit is open.

Solution

A deflection in the galvanometer indicates that the bridge is unbalanced, meaning the ratios of resistances are not equal.

Correct Answer: B — The bridge is unbalanced.

Q. If the galvanometer shows a deflection in a Wheatstone bridge, what can be inferred?

A. The bridge is balanced
B. The bridge is unbalanced
C. The resistances are equal
D. The circuit is open

Solution

A deflection in the galvanometer indicates that there is a potential difference across it, meaning the bridge is unbalanced.

Correct Answer: B — The bridge is unbalanced

Q. If the galvanometer shows a deflection when the Wheatstone bridge is not balanced, what does it indicate?

A. The bridge is balanced
B. The resistances are equal
C. There is a potential difference
D. The circuit is open

Solution

A deflection in the galvanometer indicates that there is a potential difference across it, meaning the bridge is not balanced.

Correct Answer: C — There is a potential difference

Q. If the GCD of two numbers is 1, what can be inferred about the two numbers? (2023)

A. They are both even.
B. They are both odd.
C. They are coprime.
D. They are multiples of each other.

Solution

If the GCD of two numbers is 1, it means they have no common factors other than 1, thus they are coprime.

Correct Answer: C — They are coprime.

Q. If the GCD of two numbers is 1, which of the following statements is true?

A. The numbers are multiples of each other
B. The numbers are co-prime
C. The numbers are both even
D. The numbers are both odd

Solution

If the GCD of two numbers is 1, it means they have no common factors other than 1, hence they are co-prime.

Correct Answer: B — The numbers are co-prime

Q. If the GDP of a country is $1 trillion and it grows by 5% in a year, what will be the GDP at the end of the year?

A. $1.05 trillion
B. $1.1 trillion
C. $1.2 trillion
D. $1.15 trillion

Solution

GDP after growth = 1 trillion * (1 + 0.05) = 1 trillion * 1.05 = $1.05 trillion.

Correct Answer: A — $1.05 trillion

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