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 building is 40 m high. From a point on the ground, the angle of elevation to the top of the building is 60 degrees. What is the distance from the point to the base of the building?
A.
20√3 m
B.
40 m
C.
30 m
D.
10√3 m
Solution
Using tan(60°) = height/distance, we have distance = height/tan(60°) = 40/√3 = 20√3 m.
Q. A building is 40 m tall. From a point on the ground, the angle of elevation to the top of the building is 45 degrees. How far is the point from the base of the building? (2020)
Q. A building is 50 m tall. If a person standing 40 m away from the building sees the top at an angle of elevation of θ, what is the value of θ? (2021)
Q. A bus travels 120 km at a speed of 60 km/h and returns at a speed of 40 km/h. What is the average speed for the entire trip? (2023)
A.
48 km/h
B.
50 km/h
C.
52 km/h
D.
54 km/h
Solution
Time for first part = 120/60 = 2 hours. Time for return = 120/40 = 3 hours. Total time = 2 + 3 = 5 hours. Average speed = Total distance / Total time = 240 km / 5 hours = 48 km/h.
Q. A can complete a work in 10 days, while B can complete the same work in 15 days. If both work together, how many days will they take to complete the work?
A.
5
B.
6
C.
7
D.
8
Solution
A's work rate = 1/10, B's work rate = 1/15. Combined rate = 1/10 + 1/15 = 1/6. They will complete the work in 6 days.
Q. A can do a work in 12 days, B can do it in 18 days, and C can do it in 24 days. If they work together, how long will they take to complete the work?
A.
4
B.
5
C.
6
D.
7
Solution
A's rate = 1/12, B's rate = 1/18, C's rate = 1/24. Combined rate = 1/12 + 1/18 + 1/24 = 1/4. They will complete the work in 4 days.
Q. A can do a work in 15 days, B can do it in 20 days, and C can do it in 30 days. If all three work together, how long will it take to complete the work?
A.
5
B.
6
C.
7
D.
8
Solution
A's rate = 1/15, B's rate = 1/20, C's rate = 1/30. Combined rate = 1/15 + 1/20 + 1/30 = 1/6. They will complete the work in 6 days.
Q. A can do a work in 18 days, B can do it in 24 days, and C can do it in 36 days. If they all work together, how long will it take to complete the work?
A.
6
B.
8
C.
10
D.
12
Solution
A's rate = 1/18, B's rate = 1/24, C's rate = 1/36. Combined rate = 1/18 + 1/24 + 1/36 = 1/6. They will complete the work in 6 days.
Q. A can do a work in 20 days, B can do it in 30 days, and C can do it in 60 days. If all three work together, how long will they take to complete the work?
A.
5
B.
6
C.
7
D.
8
Solution
A's rate = 1/20, B's rate = 1/30, C's rate = 1/60. Combined rate = 1/20 + 1/30 + 1/60 = 1/10. They will complete the work in 10 days.
Q. A capacitor in an AC circuit has a capacitive reactance of 50 ohms. If the frequency of the AC source is increased, what happens to the capacitive reactance?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes infinite
Solution
Capacitive reactance (X_C) is given by X_C = 1/(2πfC). If the frequency (f) increases, X_C decreases.
Q. A capacitor in an AC circuit has a capacitive reactance of 50 ohms. What is the frequency if the capacitance is 10 microfarads?
A.
1 kHz
B.
10 kHz
C.
100 Hz
D.
1000 Hz
Solution
Capacitive reactance (X_C) is given by X_C = 1 / (2πfC). Rearranging gives f = 1 / (2πX_CC). Substituting X_C = 50 ohms and C = 10 x 10^-6 F gives f = 318.31 Hz, approximately 1 kHz.
Q. A capacitor is charged to a potential difference of 12V. If it is disconnected from the battery and the plates are moved apart, what happens to the potential difference? (2021)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Solution
When the plates of a disconnected capacitor are moved apart, the capacitance decreases, leading to an increase in potential difference.
