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 a bus travels 120 km in 2 hours, what is its average speed?

A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 80 km/h

Solution

Average Speed = Total Distance / Total Time = 120 km / 2 hours = 60 km/h.

Correct Answer: B — 60 km/h

Q. If a bus travels 150 km in 3 hours, what is its average speed?

A. 40 km/h
B. 50 km/h
C. 60 km/h
D. 70 km/h

Solution

Average Speed = Total Distance / Total Time = 150 km / 3 hours = 50 km/h.

Correct Answer: B — 50 km/h

Q. If a bus travels 240 km in 3 hours, what is its average speed?

A. 70 km/h
B. 80 km/h
C. 90 km/h
D. 100 km/h

Solution

Average Speed = Total Distance / Total Time = 240 km / 3 h = 80 km/h.

Correct Answer: B — 80 km/h

Q. If A can complete a task in 4 hours and B can complete the same task in 6 hours, how long will it take them to complete the task together?

A. 2.4 hours
B. 2.5 hours
C. 3 hours
D. 3.6 hours

Solution

The combined rate is 1/4 + 1/6 = 5/12, so together they complete the task in 12/5 hours, which is 2.4 hours.

Correct Answer: B — 2.5 hours

Q. If A can complete a work in 25 days and B can complete it in 30 days, how long will it take for both A and B to complete the work together?

A. 12
B. 15
C. 20
D. 25

Solution

A's rate = 1/25, B's rate = 1/30. Combined rate = 1/25 + 1/30 = 11/150. Time = 150/11 ≈ 13.64 days.

Correct Answer: B — 15

Q. If a canvas is 4 feet wide and 6 feet tall, what is the area of the canvas in square feet?

A. 24 sq ft
B. 20 sq ft
C. 30 sq ft
D. 28 sq ft

Solution

Area = width * height = 4 * 6 = 24 sq ft.

Correct Answer: A — 24 sq ft

Q. If a capacitor has a capacitance of 10 µF and is charged to 5 V, what is the charge on the capacitor?

A. 50 µC
B. 5 µC
C. 2 µC
D. 10 µC

Solution

The charge (Q) on a capacitor is given by Q = C * V. Here, Q = 10 µF * 5 V = 50 µC.

Correct Answer: A — 50 µC

Q. If a capacitor is charged and then short-circuited, what happens to the charge on the capacitor?

A. It remains the same
B. It is discharged
C. It increases
D. It becomes zero

Solution

When a charged capacitor is short-circuited, the charge flows through the circuit, and the charge on the capacitor becomes zero.

Correct Answer: B — It is discharged

Q. If a capacitor is charged to 12V and has a capacitance of 6μF, what is the stored energy? (2022)

A. 0.432 mJ
B. 0.072 mJ
C. 0.864 mJ
D. 0.216 mJ

Solution

Energy = 0.5 × C × V² = 0.5 × 6 × 10^-6 × 12² = 0.432 mJ.

Correct Answer: A — 0.432 mJ

Q. If a capacitor is charged to a voltage of 10V and has a capacitance of 5μF, what is the charge on the capacitor? (2022)

A. 50μC
B. 100μC
C. 10μC
D. 5μC

Solution

Using the formula Q = CV, the charge Q = 5μF * 10V = 50μC.

Correct Answer: A — 50μC

Q. If a capacitor is charged to a voltage of 5 V and then disconnected from the battery, what happens to the charge on the capacitor if the voltage is increased to 10 V? (2023)

A. Charge increases
B. Charge decreases
C. Charge remains the same
D. Charge becomes zero

Solution

When the voltage is increased to 10 V, the charge on the capacitor increases because charge (Q) is directly proportional to voltage (V) for a given capacitance.

Correct Answer: A — Charge increases

Q. If a capacitor is charged to a voltage V and then connected in parallel with an uncharged capacitor, what will be the final voltage across both capacitors?

A. V
B. V/2
C. 2V
D. 0

Solution

When connected in parallel, charge redistributes, and the final voltage across both capacitors will be V/2.

Correct Answer: B — V/2

Q. If a capacitor is charged to a voltage V and then connected to a resistor R, what is the time constant of the circuit?

A. RC
B. R/C
C. C/R
D. 1/RC

Solution

The time constant τ of an RC circuit is given by τ = R * C.

Correct Answer: A — RC

Q. If a capacitor is charged to a voltage V and then short-circuited, what happens to the energy stored in the capacitor?

A. It is conserved
B. It is dissipated as heat
C. It increases
D. It becomes zero

Solution

When a capacitor is short-circuited, the stored energy is dissipated as heat in the circuit.

Correct Answer: B — It is dissipated as heat

Q. If a capacitor is charged to a voltage V and then short-circuited, what happens to the charge on the capacitor?

A. It remains the same
B. It becomes zero
C. It doubles
D. It halves

Solution

Short-circuiting a capacitor allows charge to flow off, resulting in the charge becoming zero.

Correct Answer: B — It becomes zero

Q. If a capacitor is connected to a DC voltage source, what will happen to the current over time?

A. It remains constant
B. It increases
C. It decreases to zero
D. It oscillates

Solution

In a DC circuit, the current through a capacitor decreases to zero as it becomes fully charged.

Correct Answer: C — It decreases to zero

Q. If a capacitor is connected to an AC source, how does the current behave?

A. It is constant
B. It leads the voltage
C. It lags the voltage
D. It is zero

Solution

In an AC circuit, the current through a capacitor leads the voltage by 90 degrees.

Correct Answer: B — It leads the voltage

Q. If a capacitor is fully charged and then short-circuited, what happens to the stored energy?

A. It is released as heat
B. It is stored in the circuit
C. It remains in the capacitor
D. It is lost

Solution

When a charged capacitor is short-circuited, the stored energy is released as heat due to the current flow.

Correct Answer: A — It is released as heat

Q. If a capacitor is fully discharged and then connected to a voltage source, what is the initial current through the circuit?

A. Zero
B. Maximum
C. Depends on resistance
D. Infinite

Solution

When a capacitor is fully discharged and connected to a voltage source, the initial current is maximum as it starts charging.

Correct Answer: B — Maximum

Q. If a capacitor of capacitance 4μF is connected to a 12V battery, what is the charge on the capacitor?

A. 48μC
B. 12μC
C. 4μC
D. 24μC

Solution

Charge (Q) on a capacitor is given by Q = C * V. Here, Q = 4μF * 12V = 48μC.

Correct Answer: A — 48μC

Q. If a capacitor of capacitance C is charged to a voltage V, what is the energy stored in the capacitor?

A. 1/2 CV^2
B. CV
C. V^2 / C
D. C / V

Solution

The energy (U) stored in a capacitor is given by the formula U = 1/2 CV^2.

Correct Answer: A — 1/2 CV^2

Q. If a capacitor of capacitance C is connected to a voltage source V, what is the charge on the capacitor?

A. C/V
B. V/C
C. CV
D. V^2/C

Solution

The charge (Q) on a capacitor is given by Q = CV when connected to a voltage source V.

Correct Answer: C — CV

Q. If a capacitor with capacitance C is connected to a voltage V, what is the charge stored in the capacitor?

A. C/V
B. V/C
C. C * V
D. C + V

Solution

The charge (Q) stored in a capacitor is given by the formula Q = C * V.

Correct Answer: C — C * V

Q. If a capillary tube has a radius of 0.5 mm and the surface tension of the liquid is 0.072 N/m, what is the height of the liquid column in the tube? (Assume density = 1000 kg/m³)

A. 0.0144 m
B. 0.072 m
C. 0.0288 m
D. 0.036 m

Solution

Height = (2 × Surface Tension) / (Density × g × Radius) = (2 × 0.072 N/m) / (1000 kg/m³ × 9.81 m/s² × 0.0005 m) = 0.0144 m.

Correct Answer: A — 0.0144 m

Q. If a car accelerates from rest at a rate of 2 m/s², what will be its speed after 5 seconds? (2023)

A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s

Solution

Speed = Initial speed + (Acceleration × Time) = 0 + (2 m/s² × 5 s) = 10 m/s.

Correct Answer: B — 10 m/s

Q. If a car accelerates from rest to 20 m/s in 5 seconds, what is its acceleration?

A. 2 m/s²
B. 4 m/s²
C. 5 m/s²
D. 10 m/s²

Solution

Acceleration a = (final velocity - initial velocity) / time = (20 m/s - 0) / 5 s = 4 m/s².

Correct Answer: B — 4 m/s²

Q. If a car accelerates from rest to 25 m/s in 5 seconds, what is its acceleration?

A. 2 m/s²
B. 5 m/s²
C. 10 m/s²
D. 15 m/s²

Solution

Acceleration = (final velocity - initial velocity) / time = (25 m/s - 0) / 5 s = 5 m/s².

Correct Answer: B — 5 m/s²

Q. If a car accelerates from rest to 30 m/s in 5 seconds, what is its acceleration?

A. 3 m/s²
B. 5 m/s²
C. 6 m/s²
D. 10 m/s²

Solution

Acceleration = (final velocity - initial velocity) / time = (30 m/s - 0) / 5 s = 6 m/s².

Correct Answer: A — 3 m/s²

Q. If a car accelerates from rest to a speed of 20 m/s, and its mass is 1000 kg, what is the kinetic energy of the car at that speed? (2020)

A. 200 J
B. 1000 J
C. 2000 J
D. 4000 J

Solution

Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 1000 kg × (20 m/s)² = 200000 J = 2000 J

Correct Answer: C — 2000 J

Q. If a car accelerates from rest to a speed of 20 m/s, and its mass is 1000 kg, what is the kinetic energy gained by the car? (2021)

A. 200,000 J
B. 100,000 J
C. 50,000 J
D. 400,000 J

Solution

Kinetic Energy (KE) = 0.5 × mass (m) × velocity² (v²). KE = 0.5 × 1000 kg × (20 m/s)² = 200,000 J.

Correct Answer: B — 100,000 J

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