Q. In a survey, 60% of people like tea, 30% like coffee, and 10% like both. What is the probability that a person likes coffee given that they like tea?
Q. In a survey, 60% of people like tea, and 40% like coffee. If a person is chosen at random, what is the probability that they like coffee given that they do not like tea?
A.
0.4
B.
0.6
C.
0.5
D.
1
Solution
If a person does not like tea, they must like coffee. Therefore, the probability is 1.
Q. In a survey, 60% of respondents like reading fiction, 40% like reading non-fiction, and 20% like both. What percentage of respondents like only fiction?
A.
40%
B.
20%
C.
60%
D.
30%
Solution
The percentage of respondents who like only fiction is |Fiction| - |Both| = 60% - 20% = 40%.
Q. In a survey, 60% of respondents preferred coffee over tea. If 30% of the coffee drinkers also liked tea, what percentage of the total respondents liked both?
A.
18%
B.
30%
C.
60%
D.
12%
Solution
30% of 60% is 18%, which represents the percentage of total respondents who liked both.
Q. In a survey, 60% of respondents preferred coffee over tea. If 30% of those who preferred coffee also liked tea, what percentage of respondents liked only coffee?
A.
30%
B.
60%
C.
42%
D.
18%
Solution
If 60% preferred coffee and 30% of those liked tea, then 30% liked both, leaving 30% who liked only coffee.
Q. In a survey, 60% of respondents preferred tea over coffee. If 40% of tea drinkers also liked coffee, what percentage of the total respondents liked both?
A.
24%
B.
40%
C.
60%
D.
16%
Solution
If 60% prefer tea and 40% of those like coffee, then 0.6 * 0.4 = 0.24 or 24% of total respondents liked both.
Q. In a survey, 60% of respondents preferred tea over coffee. If 40% of tea drinkers also liked coffee, what percentage of tea drinkers did not like coffee?
A.
60%
B.
40%
C.
24%
D.
36%
Solution
If 40% of tea drinkers like coffee, then 60% do not like coffee.
Q. In a survey, 60% of the participants preferred Brand A over Brand B. If 240 participants preferred Brand A, how many participants were surveyed in total? (2023)
A.
400
B.
480
C.
600
D.
720
Solution
Let the total number of participants be x. According to the problem, 60% of x = 240. Therefore, x = 240 / 0.6 = 400.
Q. In a survey, 60% of the participants preferred Brand A over Brand B. If 240 participants preferred Brand B, how many participants were surveyed in total?
A.
400
B.
600
C.
800
D.
1000
Solution
Let the total number of participants be x. According to the problem, 40% of x = 240. Therefore, x = 240 / 0.4 = 600.
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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