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 factory produces two types of widgets. The first type is produced every 12 days and the second every 15 days. How often will both types be produced on the same day? (2023)
A.
30 days
B.
60 days
C.
45 days
D.
75 days
Solution
The LCM of 12 and 15 is 60, so both types will be produced on the same day every 60 days.
Q. A family has 2 children. What is the probability that both children are boys if it is known that at least one is a boy?
A.
1/2
B.
1/3
C.
1/4
D.
1/5
Solution
The possible combinations of children are BB, BG, GB, GG. Given that at least one is a boy, we can eliminate GG, leaving us with BB, BG, GB. Out of these 3 combinations, only 1 is BB. Therefore, the probability is 1/3.
Q. A family has 3 children. What is the probability that at least one child is a girl given that at least one child is a boy?
A.
1/2
B.
2/3
C.
3/4
D.
1/4
Solution
The only combinations with at least one boy are: BBB, BBG, BGB, GBB, BGG, GBG, GGB. Out of these, all combinations except BBB have at least one girl. Thus, P(At least one girl | At least one boy) = 6/7.
Q. A family has an average income of $50,000. If the father earns $60,000 and the mother earns $40,000, what is the average income of their two children if the total family income is $200,000?
A.
$40,000
B.
$50,000
C.
$60,000
D.
$70,000
Solution
Total income of children = $200,000 - ($60,000 + $40,000) = $100,000. Average income of children = $100,000 / 2 = $50,000.
Q. A family has three children with ages 10, 12, and 14. If they have another child, what age must the new child be for the average age of the family to be 12?
A.
8
B.
10
C.
12
D.
14
Solution
Let the age of the new child be x. Then, (10 + 12 + 14 + x) / 4 = 12. Solving gives x = 8.
Q. A family has three children with ages 5, 10, and 15. If a new child is born, what age must the new child be to maintain an average age of 10?
A.
5
B.
10
C.
15
D.
20
Solution
Current total age = 5 + 10 + 15 = 30. To maintain an average of 10 with 4 children, total age must be 40. Therefore, the new child's age must be 40 - 30 = 10.
Q. A family has three children with ages 5, 10, and 15. If they have another child, what age must the new child be to maintain an average age of 10? (2023)
A.
5
B.
10
C.
15
D.
20
Solution
Current total age = 5 + 10 + 15 = 30. To maintain an average of 10 with 4 children, total age must be 40. Therefore, the new child's age must be 40 - 30 = 10.
