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. Which of the following functions is not a polynomial?

A. f(x) = x^3 + 2x^2 - 5
B. g(x) = 1/x
C. h(x) = 4x - 7
D. k(x) = 2

Solution

g(x) = 1/x is not a polynomial because it has a negative exponent.

Correct Answer: B — g(x) = 1/x

Q. Which of the following functions is not continuous at x = 0?

A. f(x) = x^3
B. f(x) = e^x
C. f(x) = 1/x
D. f(x) = ln(x)

Solution

The function f(x) = 1/x is not defined at x = 0, hence it is not continuous there.

Correct Answer: C — f(x) = 1/x

Q. Which of the following functions is not continuous at x = 1?

A. f(x) = x^2
B. f(x) = 1/x
C. f(x) = sin(x)
D. f(x) = { x, x < 1; 2, x >= 1 }

Solution

The function has a jump discontinuity at x = 1, hence it is not continuous.

Correct Answer: D — f(x) = { x, x < 1; 2, x >= 1 }

Q. Which of the following functions is not continuous?

A. f(x) = x^2
B. f(x) = 1/x
C. f(x) = sin(x)
D. f(x) = e^x

Solution

f(x) = 1/x is not continuous at x = 0.

Correct Answer: B — f(x) = 1/x

Q. Which of the following functions is not differentiable at x = 0? f(x) = x^2 sin(1/x) for x ≠ 0 and f(0) = 0.

A. f(x)
B. g(x) =
C. x
D.
. h(x) = x^3
. k(x) = x^2

Solution

The function f(x) is not differentiable at x = 0 due to the oscillatory nature of sin(1/x) as x approaches 0.

Correct Answer: A — f(x)

Q. Which of the following functions is periodic?

A. f(x) = x
B. f(x) = cos(x)
C. f(x) = e^x
D. f(x) = ln(x)

Solution

The cosine function is periodic with a period of 2π.

Correct Answer: B — f(x) = cos(x)

Q. Which of the following gases behaves most ideally under standard conditions?

A. NH3
B. CO2
C. He
D. H2O

Solution

Helium (He) behaves most ideally under standard conditions due to its low intermolecular forces.

Correct Answer: C — He

Q. Which of the following gases behaves most like an ideal gas? (2023)

A. Helium
B. Carbon dioxide
C. Water vapor
D. Ammonia

Solution

Helium behaves most like an ideal gas due to its low intermolecular forces and small size, making it closer to the ideal gas behavior.

Correct Answer: A — Helium

Q. Which of the following gases has the highest density at STP?

A. He
B. Ar
C. N2
D. CO2

Solution

CO2 has the highest density at STP among the given gases.

Correct Answer: D — CO2

Q. Which of the following gases has the highest rate of diffusion at the same temperature?

A. O2
B. N2
C. CO2
D. H2

Solution

According to Graham's law, lighter gases diffuse faster; H2 has the lowest molar mass.

Correct Answer: D — H2

Q. Which of the following gases has the highest RMS speed at the same temperature?

A. Oxygen (O2)
B. Nitrogen (N2)
C. Hydrogen (H2)
D. Carbon Dioxide (CO2)

Solution

RMS speed is inversely proportional to the square root of molar mass. Hydrogen (H2) has the lowest molar mass among the options, thus it has the highest RMS speed.

Correct Answer: C — Hydrogen (H2)

Q. Which of the following gases is most abundant in the Earth's atmosphere?

A. Oxygen
B. Nitrogen
C. Carbon Dioxide
D. Argon

Solution

Nitrogen makes up about 78% of the Earth's atmosphere, making it the most abundant gas.

Correct Answer: B — Nitrogen

Q. Which of the following gases is most likely to behave ideally?

A. NH3
B. H2O
C. He
D. CO2

Solution

Helium (He) behaves most ideally due to its small size and weak intermolecular forces.

Correct Answer: C — He

Q. Which of the following gases is most soluble in water?

A. O2
B. N2
C. CO2
D. H2

Solution

CO2 is more soluble in water compared to O2, N2, and H2 due to its ability to form carbonic acid.

Correct Answer: C — CO2

Q. Which of the following gases is primarily responsible for the greenhouse effect?

A. Ozone
B. Carbon Dioxide
C. Nitrogen
D. Methane

Solution

Carbon Dioxide is a major greenhouse gas that traps heat in the atmosphere, contributing to global warming.

Correct Answer: B — Carbon Dioxide

Q. Which of the following gases is produced when aluminum reacts with hydrochloric acid?

A. Hydrogen
B. Oxygen
C. Chlorine
D. Nitrogen

Solution

Hydrogen gas is produced when aluminum reacts with hydrochloric acid.

Correct Answer: A — Hydrogen

Q. Which of the following gases will diffuse the fastest under identical conditions?

A. He
B. O2
C. N2
D. CO2

Solution

According to Graham's law of effusion, lighter gases diffuse faster; hence, He will diffuse the fastest.

Correct Answer: A — He

Q. Which of the following gases will have the highest average speed at the same temperature?

A. Oxygen (O2)
B. Nitrogen (N2)
C. Hydrogen (H2)
D. Carbon Dioxide (CO2)

Solution

Hydrogen (H2) has the lowest molar mass, thus it will have the highest average speed according to the kinetic theory.

Correct Answer: C — Hydrogen (H2)

Q. Which of the following gases will have the highest rate of diffusion at a given temperature?

A. O2
B. N2
C. CO2
D. H2

Solution

According to Graham's law of effusion, lighter gases diffuse faster; H2 has the lowest molar mass and will diffuse the fastest.

Correct Answer: D — H2

Q. Which of the following gases will have the highest rate of diffusion at the same temperature?

A. O2
B. N2
C. CO2
D. H2

Solution

According to Graham's law, lighter gases diffuse faster. H2 has the lowest molar mass.

Correct Answer: D — H2

Q. Which of the following gases will have the highest RMS speed at the same temperature?

A. Oxygen (M = 32 g/mol)
B. Nitrogen (M = 28 g/mol)
C. Hydrogen (M = 2 g/mol)
D. Carbon Dioxide (M = 44 g/mol)

Solution

RMS speed is inversely proportional to the square root of molar mass. Hydrogen has the lowest molar mass, hence it will have the highest RMS speed.

Correct Answer: C — Hydrogen (M = 2 g/mol)

Q. Which of the following gases will have the highest root mean square speed at the same temperature?

A. O2
B. N2
C. H2
D. CO2

Solution

The root mean square speed is inversely proportional to the square root of the molar mass. H2 has the lowest molar mass, hence it has the highest root mean square speed.

Correct Answer: C — H2

Q. Which of the following gases would have the highest average speed at a given temperature?

A. Oxygen (O2)
B. Nitrogen (N2)
C. Hydrogen (H2)
D. Carbon Dioxide (CO2)

Solution

At a given temperature, lighter gases like hydrogen (H2) have higher average speeds compared to heavier gases like oxygen (O2) or carbon dioxide (CO2).

Correct Answer: C — Hydrogen (H2)

Q. Which of the following gases would have the highest average speed at the same temperature? (2020)

A. Oxygen (O2)
B. Nitrogen (N2)
C. Hydrogen (H2)
D. Carbon Dioxide (CO2)

Solution

At the same temperature, lighter gases have higher average speeds. Hydrogen (H2) has the lowest molar mass and thus the highest average speed.

Correct Answer: C — Hydrogen (H2)

Q. Which of the following gases would have the highest rate of diffusion at a given temperature?

A. O2
B. N2
C. CO2
D. H2

Solution

Hydrogen (H2) has the lowest molar mass and thus the highest rate of diffusion according to Graham's law.

Correct Answer: D — H2

Q. Which of the following gases would have the highest root mean square speed at the same temperature?

A. Oxygen (O2)
B. Nitrogen (N2)
C. Hydrogen (H2)
D. Carbon Dioxide (CO2)

Solution

Hydrogen (H2) has the lowest molar mass among the given gases, thus it will have the highest root mean square speed at the same temperature, as v_rms is inversely proportional to the square root of molar mass.

Correct Answer: C — Hydrogen (H2)

Q. Which of the following gates is a universal gate?

A. AND
B. OR
C. NAND
D. XOR

Solution

The NAND gate is a universal gate because it can be used to create any other gate.

Correct Answer: C — NAND

Q. Which of the following gates is considered a universal gate?

A. AND Gate
B. OR Gate
C. NAND Gate
D. XOR Gate

Solution

The NAND gate is considered a universal gate because it can be used to create any other gate.

Correct Answer: C — NAND Gate

Q. Which of the following gates is equivalent to an AND gate followed by a NOT gate?

A. OR
B. NAND
C. NOR
D. XOR

Solution

The output of an AND gate followed by a NOT gate is a NAND gate.

Correct Answer: B — NAND

Q. Which of the following global organizations was established to promote international cooperation in the field of education, science, and culture? (1945)

A. World Health Organization (WHO)
B. United Nations Educational, Scientific and Cultural Organization (UNESCO)
C. International Monetary Fund (IMF)
D. World Trade Organization (WTO)

Solution

UNESCO was established in 1945 to promote international collaboration in education, science, and culture.

Correct Answer: B — United Nations Educational, Scientific and Cultural Organization (UNESCO)

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