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 boat takes 5 hours to travel 50 km upstream. If the speed of the current is 5 km/h, what is the speed of the boat in still water?

A. 10 km/h
B. 15 km/h
C. 20 km/h
D. 25 km/h

Solution

Speed upstream = 50 / 5 = 10 km/h. Speed in still water = Speed upstream + Speed of current = 10 + 5 = 15 km/h.

Correct Answer: B — 15 km/h

Q. A boat travels 100 km downstream in 10 hours. If the speed of the stream is 10 km/h, what is the speed of the boat in still water?

A. 5 km/h
B. 10 km/h
C. 15 km/h
D. 20 km/h

Solution

Speed downstream = 100 km / 10 h = 10 km/h. Speed of boat = Speed downstream - Speed of stream = 10 - 10 = 0 km/h.

Correct Answer: D — 20 km/h

Q. A boat travels 100 km downstream in 5 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?

A. 15 km/h
B. 20 km/h
C. 25 km/h
D. 30 km/h

Solution

Speed downstream = 100 km / 5 h = 20 km/h. Speed of boat in still water = Speed downstream - Speed of current = 20 km/h - 5 km/h = 15 km/h.

Correct Answer: C — 25 km/h

Q. A boat travels 15 km upstream and 15 km downstream in a total time of 3 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?

A. 9 km/h
B. 10 km/h
C. 12 km/h
D. 15 km/h

Solution

Let speed of boat = x km/h. Time upstream = 15 / (x - 3) and downstream = 15 / (x + 3). Total time = 15/(x-3) + 15/(x+3) = 3. Solving gives x = 9 km/h.

Correct Answer: B — 10 km/h

Q. A boat travels 15 km upstream in 3 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?

A. 6 km/h
B. 9 km/h
C. 12 km/h
D. 15 km/h

Solution

Speed upstream = 15 / 3 = 5 km/h. Speed of boat = Speed upstream + Speed of stream = 5 + 3 = 8 km/h.

Correct Answer: B — 9 km/h

Q. A boat travels 20 km upstream and 30 km downstream in a total time of 5 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

A. 8 km/h
B. 10 km/h
C. 12 km/h
D. 14 km/h

Solution

Let speed of boat = x km/h. Time upstream = 20 / (x - 2) and time downstream = 30 / (x + 2). Thus, (20 / (x - 2)) + (30 / (x + 2)) = 5. Solving gives x = 12 km/h.

Correct Answer: B — 10 km/h

Q. A boat travels 30 km downstream and returns upstream in a total time of 5 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

A. 8 km/h
B. 10 km/h
C. 12 km/h
D. 14 km/h

Solution

Let speed of boat = x km/h. Time downstream = 30/(x+2) and upstream = 30/(x-2). Total time = 30/(x+2) + 30/(x-2) = 5. Solving gives x = 10 km/h.

Correct Answer: B — 10 km/h

Q. A boat travels 30 km downstream in 2 hours. What is the speed of the boat in still water if the speed of the current is 5 km/h?

A. 10 km/h
B. 15 km/h
C. 20 km/h
D. 25 km/h

Solution

Speed downstream = distance/time = 30/2 = 15 km/h. Speed of boat in still water = speed downstream - speed of current = 15 - 5 = 10 km/h.

Correct Answer: B — 15 km/h

Q. A boat travels 30 km downstream in 2 hours. What is the speed of the current if the speed of the boat in still water is 15 km/h?

A. 2.5 km/h
B. 5 km/h
C. 7.5 km/h
D. 10 km/h

Solution

Speed downstream = distance/time = 30/2 = 15 km/h. Speed of current = speed downstream - speed of boat = 15 - 15 = 0 km/h.

Correct Answer: B — 5 km/h

Q. A boat travels 30 km upstream and 30 km downstream in a total time of 6 hours. If the speed of the boat in still water is 10 km/h, what is the speed of the current?

A. 2 km/h
B. 3 km/h
C. 4 km/h
D. 5 km/h

Solution

Let speed of current = x. Time upstream = 30/(10-x), downstream = 30/(10+x). Total time = 6 hours. Solving gives x = 2 km/h.

Correct Answer: A — 2 km/h

Q. A boat travels 40 km downstream and 30 km upstream in a total time of 6 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?

A. 10 km/h
B. 12 km/h
C. 14 km/h
D. 16 km/h

Solution

Let speed of boat = x km/h. Time downstream = 40 / (x + 4) and time upstream = 30 / (x - 4). Thus, (40 / (x + 4)) + (30 / (x - 4)) = 6. Solving gives x = 14 km/h.

Correct Answer: B — 12 km/h

Q. A boat travels 40 km downstream in 3 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?

A. 10 km/h
B. 12 km/h
C. 14 km/h
D. 16 km/h

Solution

Speed downstream = 40 / 3 = 13.33 km/h. Speed in still water = Speed downstream - Speed of current = 13.33 - 4 = 9.33 km/h.

Correct Answer: C — 14 km/h

Q. A boat travels 50 km upstream and 70 km downstream in a total time of 10 hours. If the speed of the boat in still water is 15 km/h, what is the speed of the current?

A. 2 km/h
B. 3 km/h
C. 4 km/h
D. 5 km/h

Solution

Let the speed of current be x km/h. Time upstream = 50/(15-x) and time downstream = 70/(15+x). Setting up the equation: 50/(15-x) + 70/(15+x) = 10.

Correct Answer: C — 4 km/h

Q. A boat travels 60 km downstream in 3 hours. If the speed of the boat in still water is 20 km/h, what is the speed of the stream?

A. 5 km/h
B. 10 km/h
C. 15 km/h
D. 20 km/h

Solution

Speed downstream = Distance / Time = 60 / 3 = 20 km/h. Speed of stream = Speed downstream - Speed of boat = 20 - 20 = 0 km/h.

Correct Answer: B — 10 km/h

Q. A boat travels 60 km downstream in 3 hours. If the speed of the boat in still water is 20 km/h, what is the speed of the current?

A. 5 km/h
B. 10 km/h
C. 15 km/h
D. 20 km/h

Solution

Speed downstream = Distance/Time = 60 km / 3 hours = 20 km/h. Speed of current = Speed downstream - Speed in still water = 20 km/h - 20 km/h = 0 km/h.

Correct Answer: B — 10 km/h

Q. A boat travels 60 km downstream in 4 hours. If the speed of the stream is 5 km/h, what is the speed of the boat in still water?

A. 10 km/h
B. 15 km/h
C. 20 km/h
D. 25 km/h

Solution

Speed downstream = 60 km / 4 h = 15 km/h. Speed of boat = Speed downstream - Speed of stream = 15 - 5 = 10 km/h.

Correct Answer: C — 20 km/h

Q. A boat travels 90 km downstream in 6 hours. If the speed of the current is 3 km/h, what is the speed of the boat in still water?

A. 12 km/h
B. 15 km/h
C. 18 km/h
D. 21 km/h

Solution

Speed downstream = 90 / 6 = 15 km/h. Speed in still water = Speed downstream - Speed of current = 15 - 3 = 12 km/h.

Correct Answer: B — 15 km/h

Q. A boat travels across a river with a speed of 4 m/s relative to the water. If the river flows at 3 m/s, what is the resultant speed of the boat relative to the riverbank?

A. 3 m/s
B. 4 m/s
C. 5 m/s
D. 7 m/s

Solution

Resultant speed = √(4^2 + 3^2) = √(16 + 9) = √25 = 5 m/s.

Correct Answer: C — 5 m/s

Q. A boat travels across a river with a speed of 8 km/h relative to the water. If the river flows at 6 km/h, what is the speed of the boat relative to the riverbank?

A. 8 km/h
B. 10 km/h
C. 14 km/h
D. 6 km/h

Solution

Speed of boat relative to riverbank = √(8^2 + 6^2) = √(64 + 36) = √100 = 10 km/h.

Correct Answer: B — 10 km/h

Q. A boat travels downstream at a speed of 15 km/h and takes 2 hours to cover a distance. What is the distance covered?

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

Solution

Distance = Speed × Time = 15 km/h × 2 hours = 30 km.

Correct Answer: A — 30 km

Q. A boat travels downstream for 4 hours at a speed of 15 km/h. How far has it traveled?

A. 45 km
B. 60 km
C. 75 km
D. 90 km

Solution

Distance = Speed × Time = 15 km/h × 4 h = 60 km.

Correct Answer: D — 90 km

Q. A boat travels upstream at 4 km/h and downstream at 6 km/h. What is the speed of the current?

A. 1 km/h
B. 2 km/h
C. 3 km/h
D. 4 km/h

Solution

Let the speed of the current be x. Then, 4 + x = 6 - x. Solving gives x = 2 km/h.

Correct Answer: B — 2 km/h

Q. A body is moving in a circular path of radius 4 m with a constant speed of 8 m/s. What is the net force acting on the body if its mass is 2 kg?

A. 4 N
B. 8 N
C. 16 N
D. 32 N

Solution

Centripetal force F = m(v²/r) = 2(8²/4) = 32 N.

Correct Answer: C — 16 N

Q. A body is moving in a circular path with a radius of 10 m and completes one revolution in 5 seconds. What is its linear speed?

A. 2π m/s
B. 4π m/s
C. 10 m/s
D. 20 m/s

Solution

Linear speed (v) = Circumference / Time = (2π(10)) / 5 = 4π m/s.

Correct Answer: A — 2π m/s

Q. A body is thrown vertically upwards with a speed of 20 m/s. How high will it rise? (g = 10 m/s²)

A. 20 m
B. 40 m
C. 30 m
D. 10 m

Solution

Using v² = u² - 2gh, 0 = (20)² - 2*10*h, h = 20 m.

Correct Answer: B — 40 m

Q. A body is thrown vertically upwards with a speed of 20 m/s. How high will it rise before coming to rest?

A. 20 m
B. 40 m
C. 10 m
D. 30 m

Solution

Using the formula h = v²/(2g), where g = 10 m/s², h = (20)²/(2*10) = 20 m.

Correct Answer: B — 40 m

Q. A body is thrown vertically upwards with a speed of 20 m/s. What is the maximum height reached by the body? (Take g = 10 m/s²)

A. 20 m
B. 40 m
C. 30 m
D. 50 m

Solution

Using the formula h = (u²)/(2g), where u = 20 m/s and g = 10 m/s², we get h = (20²)/(2*10) = 400/20 = 20 m.

Correct Answer: B — 40 m

Q. A body is thrown vertically upwards with a speed of 20 m/s. What is the maximum height it reaches? (g = 10 m/s²)

A. 20 m
B. 40 m
C. 30 m
D. 10 m

Solution

Using the formula h = (u^2)/(2g), where u = 20 m/s and g = 10 m/s², we get h = (20^2)/(2*10) = 20 m.

Correct Answer: B — 40 m

Q. A body is thrown vertically upwards with a velocity of 20 m/s. How high will it rise before coming to rest? (g = 10 m/s²)

A. 20 m
B. 40 m
C. 10 m
D. 30 m

Solution

Using v² = u² - 2gh, 0 = (20)² - 2*10*h; h = 20 m.

Correct Answer: C — 10 m

Q. A body moves in a straight line with a uniform acceleration of 2 m/s². If its initial velocity is 5 m/s, what will be its velocity after 10 seconds?

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

Solution

Final velocity = initial velocity + acceleration * time = 5 + 2 * 10 = 25 m/s.

Correct Answer: A — 25 m/s

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