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. A uniform thin circular ring of mass M and radius R is rotated about an axis through its center. What is its moment of inertia?

A. MR^2
B. 1/2 MR^2
C. 1/3 MR^2
D. 2/5 MR^2

Solution

The moment of inertia of a thin circular ring about an axis through its center is I = MR^2.

Correct Answer: A — MR^2

Q. A uniformly charged sphere of radius R has a total charge Q. What is the electric field at a point outside the sphere (r > R)?

A. 0
B. Q/(4πε₀r²)
C. Q/(4πε₀R²)
D. Q/(4πε₀R)

Solution

For a uniformly charged sphere, the electric field outside the sphere behaves as if all the charge were concentrated at the center, thus E = Q/(4πε₀r²).

Correct Answer: B — Q/(4πε₀r²)

Q. A vaccine is 80% effective in preventing a disease. If 1000 people are vaccinated, how many are expected to still contract the disease? (2019)

A. 100
B. 200
C. 300
D. 400

Solution

If the vaccine is 80% effective, then 20% will still contract the disease. Therefore, expected cases = 20% of 1000 = 200.

Correct Answer: A — 100

Q. A vehicle accelerates from rest at a rate of 2 m/s². How far does it travel in 10 seconds? (2020)

A. 50 m
B. 100 m
C. 150 m
D. 200 m

Solution

Using the formula s = ut + (1/2)at²; s = 0 + (1/2)(2)(10²) = 100 m.

Correct Answer: B — 100 m

Q. A vehicle accelerates from rest to a speed of 36 m/s in 12 seconds. What is the distance covered during this time? (2023)

A. 108 m
B. 144 m
C. 180 m
D. 216 m

Solution

Using the formula s = ut + (1/2)at², where a = (v-u)/t = (36-0)/12 = 3 m/s², we find s = 0 + (1/2)(3)(12²) = 216 m.

Correct Answer: B — 144 m

Q. A vehicle moving with a speed of 60 km/h applies brakes and comes to a stop in 5 seconds. What is the deceleration?

A. 2 m/s²
B. 3 m/s²
C. 4 m/s²
D. 5 m/s²

Solution

Convert speed to m/s: 60 km/h = 16.67 m/s. Deceleration = (final velocity - initial velocity) / time = (0 - 16.67) / 5 = -3.33 m/s², approximately 3 m/s².

Correct Answer: B — 3 m/s²

Q. A vehicle travels 100 km in 2 hours and then 50 km in 1 hour. What is its average speed for the entire trip? (2019)

A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 75 km/h

Solution

Total distance = 100 km + 50 km = 150 km; Total time = 2 h + 1 h = 3 h. Average speed = Total distance / Total time = 150 km / 3 h = 50 km/h.

Correct Answer: C — 70 km/h

Q. A vehicle travels 100 m in 5 seconds. What is its average speed?

A. 10 m/s
B. 15 m/s
C. 20 m/s
D. 25 m/s

Solution

Average speed = total distance / total time = 100 m / 5 s = 20 m/s.

Correct Answer: A — 10 m/s

Q. A vehicle travels with a uniform speed of 60 km/h. How far will it travel in 2 hours? (2023)

A. 80 km
B. 100 km
C. 120 km
D. 140 km

Solution

Distance = speed * time = 60 km/h * 2 h = 120 km.

Correct Answer: C — 120 km

Q. A video game is released at $60. If it sells 1 million copies in the first month, what is the total revenue?

A. $60 million
B. $70 million
C. $50 million
D. $80 million

Solution

Total revenue = Price per copy * Number of copies sold = 60 * 1,000,000 = $60 million.

Correct Answer: A — $60 million

Q. A village has a population of 10,000. If the population doubles every 5 years, what will be the population in 15 years?

A. 20000
B. 40000
C. 30000
D. 50000

Solution

In 15 years, the population will double 3 times (15/5 = 3). So, 10000 * 2^3 = 10000 * 8 = 80000.

Correct Answer: B — 40000

Q. A voltage is measured as 12.0 V with an uncertainty of ±0.1 V. What is the absolute error?

A. 0.1 V
B. 0.2 V
C. 0.3 V
D. 0.4 V

Solution

Absolute error is the same as the uncertainty, which is ±0.1 V.

Correct Answer: A — 0.1 V

Q. A voltage is measured as 12.0 V with an uncertainty of ±0.2 V. What is the maximum possible voltage?

A. 11.8 V
B. 12.0 V
C. 12.2 V
D. 12.4 V

Solution

Maximum possible voltage = Measured value + Uncertainty = 12.0 + 0.2 = 12.2 V.

Correct Answer: C — 12.2 V

Q. A voltage is measured as 15.0 V with an uncertainty of ±0.3 V. What is the fractional error in the voltage measurement?

A. 0.02
B. 0.03
C. 0.01
D. 0.05

Solution

Fractional error = (absolute error / measured value) = 0.3 / 15.0 = 0.02.

Correct Answer: B — 0.03

Q. A voltage measurement is taken as 220 V with an uncertainty of ±5 V. What is the absolute error?

A. 5 V
B. 10 V
C. 2.5 V
D. 0.5 V

Solution

The absolute error is given directly as ±5 V.

Correct Answer: A — 5 V

Q. A volume is measured as 1000 mL with an error of 10 mL. What is the relative error?

A. 0.01
B. 0.1
C. 0.001
D. 0.05

Solution

Relative error = Absolute error / Measured value = 10 / 1000 = 0.01.

Correct Answer: B — 0.1

Q. A volume is measured as 2.0 L with an uncertainty of ±0.1 L. If this volume is used to calculate density, what is the uncertainty in density if mass is measured as 4.0 kg with an uncertainty of ±0.2 kg?

A. 0.1 kg/L
B. 0.2 kg/L
C. 0.05 kg/L
D. 0.4 kg/L

Solution

Using the formula for density (density = mass/volume), the uncertainty in density can be calculated using the formula for propagation of uncertainty.

Correct Answer: A — 0.1 kg/L

Q. A volume is measured as 200 L with an error of 5 L. What is the relative error in percentage?

A. 2.5%
B. 5%
C. 1%
D. 0.5%

Solution

Relative error = (Absolute error / Measured value) * 100 = (5 / 200) * 100 = 2.5%

Correct Answer: A — 2.5%

Q. A volume is measured as 250.0 mL with an uncertainty of 1.0 mL. What is the minimum possible volume?

A. 249.0 mL
B. 250.0 mL
C. 251.0 mL
D. 248.0 mL

Solution

Minimum possible volume = Measured volume - Uncertainty = 250.0 mL - 1.0 mL = 249.0 mL.

Correct Answer: A — 249.0 mL

Q. A watch is marked at $250. If it is sold for $200, what is the discount percentage?

A. 15%
B. 20%
C. 25%
D. 30%

Solution

Discount = 250 - 200 = 50. Percentage Discount = (50/250) * 100 = 20%.

Correct Answer: B — 20%

Q. A water treatment plant can purify 5000 liters of water in 2 hours. How many liters can it purify in 5 hours?

A. 12500 liters
B. 10000 liters
C. 15000 liters
D. 20000 liters

Solution

Purification rate = 5000 liters/2 hours = 2500 liters/hour. In 5 hours: 2500 liters/hour * 5 hours = 12500 liters

Correct Answer: B — 10000 liters

Q. A water treatment plant can purify 5000 liters of water in an hour. How much water can it purify in 8 hours?

A. 30000 liters
B. 40000 liters
C. 50000 liters
D. 60000 liters

Solution

Water purified = 5000 liters/hour * 8 hours = 40000 liters

Correct Answer: A — 30000 liters

Q. A wave has a frequency of 10 Hz and a wavelength of 2 m. What is its speed? (2023)

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

Solution

The speed v of a wave is given by v = fλ. Therefore, v = 10 Hz * 2 m = 20 m/s.

Correct Answer: C — 20 m/s

Q. A wave has a frequency of 10 Hz and a wavelength of 5 m. What is its speed? (2020)

A. 50 m/s
B. 10 m/s
C. 2 m/s
D. 5 m/s

Solution

Speed (v) = frequency (f) × wavelength (λ) = 10 Hz × 5 m = 50 m/s.

Correct Answer: A — 50 m/s

Q. A wave has a frequency of 50 Hz and a speed of 340 m/s. What is its wavelength? (2021)

A. 6.8 m
B. 7.0 m
C. 7.5 m
D. 8.0 m

Solution

Wavelength λ is given by λ = v/f. Thus, λ = 340 m/s / 50 Hz = 6.8 m.

Correct Answer: A — 6.8 m

Q. A wave has a frequency of 50 Hz and a wavelength of 2 m. What is its speed?

A. 25 m/s
B. 50 m/s
C. 100 m/s
D. 75 m/s

Solution

Speed v = f × λ = 50 Hz × 2 m = 100 m/s.

Correct Answer: B — 50 m/s

Q. A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave? (2021)

A. 25 m/s
B. 50 m/s
C. 100 m/s
D. 200 m/s

Solution

The speed of a wave is given by the formula v = fλ. Here, v = 50 Hz * 2 m = 100 m/s.

Correct Answer: B — 50 m/s

Q. A wave has a frequency of 50 Hz and a wavelength of 3 m. What is its speed?

A. 150 m/s
B. 100 m/s
C. 50 m/s
D. 200 m/s

Solution

Speed v = f × λ = 50 Hz × 3 m = 150 m/s.

Correct Answer: B — 100 m/s

Q. A wave has a frequency of 500 Hz and a wavelength of 0.5 m. What is the speed of the wave? (2023)

A. 250 m/s
B. 500 m/s
C. 1000 m/s
D. 2000 m/s

Solution

The speed of the wave can be calculated using the formula v = fλ. Here, v = 500 Hz * 0.5 m = 250 m/s.

Correct Answer: B — 500 m/s

Q. A wave has a frequency of 500 Hz and a wavelength of 0.6 m. What is the speed of the wave? (2022)

A. 300 m/s
B. 500 m/s
C. 600 m/s
D. 400 m/s

Solution

Using the wave equation v = fλ, we find v = 500 Hz * 0.6 m = 300 m/s.

Correct Answer: A — 300 m/s

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