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 unit of the magnetic field as defined by the Biot-Savart Law?

A. Tesla
B. Newton
C. Coulomb
D. Volt

Solution

The unit of the magnetic field as defined by the Biot-Savart Law is Tesla.

Correct Answer: A — Tesla

Q. What is the unit of the magnetic field as per the Biot-Savart Law?

A. Tesla
B. Newton
C. Coulomb
D. Ampere

Solution

The unit of the magnetic field is Tesla (T), which is derived from the Biot-Savart Law.

Correct Answer: A — Tesla

Q. What is the unit of the rate constant for a first-order reaction? (2023)

A. M/s
B. M²/s
C. s⁻¹
D. M⁻¹s⁻¹

Solution

The unit of the rate constant for a first-order reaction is s⁻¹.

Correct Answer: C — s⁻¹

Q. What is the unit of the rate constant for a second-order reaction?

A. mol/L·s
B. L²/mol²·s
C. 1/s
D. mol/L

Solution

The unit of the rate constant for a second-order reaction is L²/mol²·s.

Correct Answer: B — L²/mol²·s

Q. What is the unit of thermal conductivity?

A. W/m·K
B. J/kg·K
C. K/W
D. J/m·s

Solution

The unit of thermal conductivity is Watts per meter per Kelvin (W/m·K).

Correct Answer: A — W/m·K

Q. What is the unit of torque in the SI system?

A. Newton
B. Joule
C. Newton-meter
D. Pascal

Solution

The unit of torque in the SI system is Newton-meter (Nm).

Correct Answer: C — Newton-meter

Q. What is the unit of work in the SI system? (2023)

A. Joule
B. Newton
C. Watt
D. Pascal

Solution

The SI unit of work is Joule (J).

Correct Answer: A — Joule

Q. What is the unit of Young's modulus?

A. N/m²
B. Pa
C. J/m³
D. N/m

Solution

Young's modulus is defined as stress divided by strain and is measured in Pascals (Pa).

Correct Answer: B — Pa

Q. What is the unit vector in the direction of (3, 4)?

A. (3/5, 4/5)
B. (4/5, 3/5)
C. (1, 1)
D. (0, 0)

Solution

Unit vector = (3, 4) / √(3^2 + 4^2) = (3/5, 4/5).

Correct Answer: A — (3/5, 4/5)

Q. What is the unit vector in the direction of (3, 4, 0)?

A. (0.6, 0.8, 0)
B. (0.8, 0.6, 0)
C. (1, 0, 0)
D. (0, 1, 0)

Solution

Unit vector = (3, 4, 0) / √(3^2 + 4^2) = (3, 4, 0) / 5 = (0.6, 0.8, 0).

Correct Answer: A — (0.6, 0.8, 0)

Q. What is the unit vector in the direction of (4, 3)?

A. (4/5, 3/5)
B. (3/4, 4/3)
C. (1, 1)
D. (0, 1)

Solution

Unit vector = (4/5, 3/5) where magnitude = √(4^2 + 3^2) = 5

Correct Answer: A — (4/5, 3/5)

Q. What is the unit vector in the direction of the vector (4, 3)?

A. (4/5, 3/5)
B. (3/5, 4/5)
C. (1, 0)
D. (0, 1)

Solution

Unit vector = (4/5, 3/5) since magnitude = 5.

Correct Answer: A — (4/5, 3/5)

Q. What is the unit vector in the direction of v = (3, 4)?

A. (0.6, 0.8)
B. (1, 1)
C. (3, 4)
D. (0, 0)

Solution

Unit vector = v / |v| = (3, 4) / 5 = (0.6, 0.8)

Correct Answer: A — (0.6, 0.8)

Q. What is the unit vector in the direction of vector A = (3, 4)?

A. (0.6, 0.8)
B. (0.8, 0.6)
C. (1, 1)
D. (0, 0)

Solution

Unit vector = A / |A| = (3, 4) / 5 = (0.6, 0.8).

Correct Answer: A — (0.6, 0.8)

Q. What is the unit vector in the direction of vector A = 4i + 3j?

A. (4/5)i + (3/5)j
B. (3/4)i + (4/3)j
C. (4/3)i + (3/4)j
D. (3/5)i + (4/5)j

Solution

Unit vector = A / |A| = (4i + 3j) / √(4^2 + 3^2) = (4i + 3j) / 5 = (4/5)i + (3/5)j.

Correct Answer: A — (4/5)i + (3/5)j

Q. What is the valency of Magnesium? (2015)

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

Solution

Magnesium has a valency of 2, as it can lose two electrons.

Correct Answer: B — 2

Q. What is the valency of Oxygen? (2021)

A. 1
B. 2
C. 3
D. 4

Solution

Oxygen has a valency of 2, as it needs two electrons to complete its outer shell.

Correct Answer: B — 2

Q. What is the value of (1 + 2)^5 using the binomial theorem?

A. 32
B. 64
C. 128
D. 256

Solution

Using the binomial theorem, (1 + 2)^5 = 3^5 = 243.

Correct Answer: B — 64

Q. What is the value of (1 + i)(1 - i)? (2019)

A. 2
B. 0
C. 1
D. 1 + 0i

Solution

(1 + i)(1 - i) = 1^2 - i^2 = 1 - (-1) = 1 + 1 = 2.

Correct Answer: A — 2

Q. What is the value of (1 + i)^2?

A. 2i
B. 2
C. 0
D. 1 + 2i

Solution

(1 + i)^2 = 1^2 + 2*1*i + i^2 = 1 + 2i - 1 = 2i.

Correct Answer: A — 2i

Q. What is the value of (1 + i)²?

A. 2i
B. 2
C. 0
D. 1 + 2i

Solution

(1 + i)² = 1² + 2(1)(i) + i² = 1 + 2i - 1 = 2i.

Correct Answer: B — 2

Q. What is the value of (2 + 3) × (4 - 1)? (2023)

A. 15
B. 20
C. 10
D. 12

Solution

Using BODMAS: (2 + 3) = 5 and (4 - 1) = 3, so 5 × 3 = 15.

Correct Answer: C — 10

Q. What is the value of (2 + 3) × 4? (2022)

A. 20
B. 25
C. 15
D. 10

Solution

(2 + 3) × 4 = 5 × 4 = 20.

Correct Answer: A — 20

Q. What is the value of (2 + 3)^3 using the binomial theorem?

A. 27
B. 125
C. 216
D. 343

Solution

Using the binomial theorem, (2 + 3)^3 = 5^3 = 125.

Correct Answer: A — 27

Q. What is the value of (2 + 3)^3?

A. 25
B. 30
C. 35
D. 40

Solution

Using the binomial theorem, (2 + 3)^3 = C(3,0)(2)^3 + C(3,1)(2)^2(3) + C(3,2)(2)(3)^2 + C(3,3)(3)^3 = 8 + 36 + 54 + 27 = 125.

Correct Answer: B — 30

Q. What is the value of (2 + 3i) + (4 - 2i)?

A. 6 + i
B. 6 + i
C. 2 + 5i
D. 8 + i

Solution

To add the complex numbers, we combine the real parts and the imaginary parts: (2 + 4) + (3 - 2)i = 6 + 1i = 6 + i.

Correct Answer: A — 6 + i

Q. What is the value of (2 + 3i) - (1 + 2i)? (2014)

A. 1 + i
B. 1 + i^2
C. 2 + i
D. 3 + i

Solution

(2 + 3i) - (1 + 2i) = (2 - 1) + (3i - 2i) = 1 + i.

Correct Answer: A — 1 + i

Q. What is the value of (2 + 3i) / (1 + i)? (2015)

A. 1 + 2i
B. 2 - i
C. 3 + 2i
D. 1 - 2i

Solution

Multiply numerator and denominator by the conjugate of the denominator: (2 + 3i)(1 - i) / (1 + i)(1 - i) = (2 - 2i + 3i + 3) / (1 + 1) = (5 + i) / 2 = 2.5 + 0.5i.

Correct Answer: B — 2 - i

Q. What is the value of (2 + 3i)(2 - 3i)? (2019)

A. 13
B. 1
C. 12
D. 7

Solution

Using the difference of squares: (a + b)(a - b) = a² - b². Here, (2)² - (3i)² = 4 - (-9) = 4 + 9 = 13.

Correct Answer: A — 13

Q. What is the value of (2 - 3)^5?

A. -1
B. -32
C. -243
D. -125

Solution

Using the binomial theorem, (2 - 3)^5 = (-1)^5 = -1.

Correct Answer: D — -125

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