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!
Q. A wheel is rotating with an angular velocity of 10 rad/s. If it accelerates at a rate of 2 rad/s², what will be its angular velocity after 5 seconds?
Q. A wheel of radius R and mass M is rolling without slipping on a horizontal surface. If it has a linear speed v, what is its total kinetic energy? (2022)
A.
(1/2)Mv²
B.
(1/2)Mv² + (1/2)(Iω²)
C.
(1/2)Mv² + (1/2)(Mv²)
D.
(1/2)Mv² + (1/2)(Mv²/2)
Solution
The total kinetic energy is the sum of translational and rotational kinetic energy. K.E. = (1/2)Mv² + (1/2)(Iω²) where I = (1/2)MR² for a solid cylinder.
Q. A wheel of radius R is rolling without slipping on a horizontal surface. If the wheel has an angular velocity ω, what is the linear velocity of the center of the wheel? (2023)
A.
Rω
B.
ω/R
C.
ω
D.
2Rω
Solution
The linear velocity v of the center of the wheel is given by v = Rω.
Q. A wheel of radius R is rolling without slipping on a horizontal surface. What is the relationship between the linear velocity v of the center of the wheel and its angular velocity ω?
A.
v = Rω
B.
v = ω/R
C.
v = 2Rω
D.
v = ω/2R
Solution
For rolling without slipping, the linear velocity v is related to angular velocity ω by the equation v = Rω.
Q. A wheel of radius R rolls on a flat surface. If it rolls without slipping, what is the distance traveled by the center of mass after one complete rotation?
A.
2πR
B.
πR
C.
4πR
D.
R
Solution
The distance traveled by the center of mass after one complete rotation is equal to the circumference of the wheel, which is 2πR.
Q. A wheel of radius R rolls without slipping on a horizontal surface. If it rotates with an angular velocity ω, what is the linear velocity of the center of the wheel?
A.
Rω
B.
2Rω
C.
ω/R
D.
R/ω
Solution
The linear velocity v of the center of the wheel is related to the angular velocity ω by the equation v = Rω.
Q. A wheel of radius R rolls without slipping on a horizontal surface. If the wheel has an angular velocity ω, what is the linear velocity of the center of the wheel?
A.
Rω
B.
ω/R
C.
ω
D.
R/ω
Solution
The linear velocity v of the center of the wheel is related to the angular velocity by v = Rω.
Q. A wholesaler sells a product to a retailer at a price of $400, which includes a profit margin of 25%. What was the cost price for the wholesaler?
A.
$300
B.
$320
C.
$350
D.
$360
Solution
Let the cost price be x. Selling Price = Cost Price + Profit = x + 0.25x = 1.25x. Setting this equal to $400 gives 1.25x = $400, so x = $400 / 1.25 = $320.
Q. A wholesaler sells a product to a retailer at a price that includes a 20% profit margin. If the retailer sells it at a 10% loss, what is the retailer's selling price if the cost price for the wholesaler is $200?
