Q. In a certain election, candidate A received 120,000 votes, candidate B received 80,000 votes, and candidate C received 100,000 votes. What percentage of the total votes did candidate A receive?
Q. In a certain examination, the average score of a student in three subjects is 85. If the student scores 90 in the first subject and 80 in the second, what is the minimum score required in the third subject to maintain the average? (2023)
A.
80
B.
85
C.
90
D.
95
Solution
Let the score in the third subject be x. The average is (90 + 80 + x) / 3 = 85. Solving gives x = 90.
Q. In a certain game, the probability of winning is 0.3. If a player plays the game 5 times, what is the probability of winning at least once?
A.
0.163
B.
0.836
C.
0.5
D.
0.7
Solution
The probability of losing all 5 games is (1 - 0.3)^5 = 0.168. Therefore, the probability of winning at least once is 1 - 0.168 = 0.832, which rounds to 0.836.
Q. In a certain mixture, the ratio of component X to component Y is 2:3. If the total volume of the mixture is 50 liters, how much of component Y is there?
A.
20 liters
B.
30 liters
C.
25 liters
D.
15 liters
Solution
Total parts = 2 + 3 = 5. Y = (3/5) * 50 = 30 liters.
Q. In a certain mixture, the ratio of sugar to water is 1:4. If 2 liters of sugar is added, what will be the new ratio if the total volume of the mixture is 10 liters?
A.
1:3
B.
1:2
C.
1:4
D.
1:5
Solution
Initial sugar = 1 part, water = 4 parts. Total = 5 parts. New sugar = 2 liters, water = 8 liters. Ratio = 2:8 = 1:4.
Q. In a certain mixture, the ratio of sugar to water is 1:4. If 2 liters of sugar is added to the mixture, what will be the new ratio of sugar to water?
A.
1:3
B.
1:4
C.
1:5
D.
1:6
Solution
Let the initial amount of sugar be x liters and water be 4x liters. After adding 2 liters of sugar, the new ratio becomes (x + 2) : 4x.
Q. In a certain mixture, the ratio of sugar to water is 1:4. If 2 liters of sugar is added, what will be the new ratio if the total volume of the mixture is 20 liters?
A.
1:3
B.
1:4
C.
1:5
D.
1:6
Solution
Initially, there is 1 part sugar and 4 parts water, totaling 5 parts. In 20 liters, there are 4 liters of sugar and 16 liters of water. After adding 2 liters of sugar, the new ratio is 6:16, which simplifies to 1:5.
Q. In a certain mixture, the ratio of sugar to water is 1:4. If 2 liters of sugar is added to the mixture, what will be the new ratio of sugar to water if the initial amount of water was 16 liters?
A.
1:4
B.
1:5
C.
1:6
D.
1:8
Solution
Initial sugar = 1 liter, water = 16 liters. After adding 2 liters of sugar, the new ratio is 3:16, which simplifies to 1:5.
Q. In a certain mixture, the ratio of sugar to water is 1:4. If 2 liters of sugar is added to the mixture, what will be the new ratio of sugar to water if the initial amount of water was 8 liters?
A.
1:3
B.
1:4
C.
1:5
D.
1:6
Solution
Initial sugar = 1 part, water = 4 parts (8 liters). After adding 2 liters of sugar, new sugar = 2 liters, water = 8 liters. Ratio = 2:8 = 1:4.
Q. In a certain mixture, the ratio of two components is 2:3. If 5 liters of the first component is added, what will be the new ratio if the initial volume of the second component was 15 liters?
A.
1:3
B.
2:3
C.
3:2
D.
2:5
Solution
Let the initial amounts be 2x and 3x. After adding 5 liters to the first component, the new ratio becomes (2x + 5):3x. Solving gives 3:2.
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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