Instructions
Students in a college are discussing two proposals -- A: a proposal by the authorities to introduce dress code on campus, and B: a proposal by the students to allow multinational food franchises to set up outlets on college campus.
A student does not necessarily support either of the two proposals.
In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.
A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey.
1. 250 students supported proposal A and 250 students supported proposal B. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A. 3. Among those who preferred Ragini, 30% supported proposal A. 4. 20% of those who supported proposal B preferred Sunita. 5. 40% of those who did not support proposal B preferred Ragini. 6. Every student who preferred Sunita and supported proposal B also supported proposal A. 7. Among those who preferred Ragini, 20% did not support any of the proposals.
Question 29.
Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?
Question Explanation
Total number of students surveyed= 500
Every student prefers one of the two candidates. Ragini(R) and Sunita(S).
Thus, R+S=500.
According to statement 2, "Among the 200 students who preferred Sunita as student union president, 80% supported proposal A."
The number of students who support Sunita(S)=200
The number of students who supported Ragini(R)=300
According to statements 2 and 3, 160 students who supported Sunita also supported the proposal A & 90 students who supported Ragini also supported proposal A.
According to statements 4 and 6, we can make the following Venn diagram for Sunita.
According to statement 5 and 7, we can make the following Venn diagram.
The number of students who preferred Sunita and the proposal A=160
=160/250= 64%
No video explanation yet — we're on it and uploading soon!
Master CAT Preparation with Previous Year Papers
Practicing CAT previous year papers is one of the most effective strategies for CAT exam preparation. By solving questions from CAT 2019 dilr-slot-2 and other previous years, you can understand the exam pattern, difficulty level, and types of questions asked in the Common Admission Test.
Why Practice CAT Previous Year Questions?
- Understand Exam Pattern: CAT previous papers help you familiarize yourself with the question format, marking scheme, and time management required for the actual exam.
- Identify Important Topics: By analyzing CAT solved questions from multiple years, you can identify frequently asked topics and focus your preparation accordingly.
- Improve Speed and Accuracy: Regular practice of CAT previous year papers enhances your problem-solving speed and accuracy, which are crucial for scoring well in the exam.
- Build Confidence: Solving CAT previous year questions builds confidence and reduces exam anxiety by making you comfortable with the exam format.
How to Use CAT Previous Papers Effectively
- Solve Under Exam Conditions: Attempt CAT previous year papers in a timed environment to simulate the actual exam experience.
- Analyze Your Performance: After solving each CAT previous paper, analyze your mistakes and identify areas that need improvement.
- Review Solutions Thoroughly: Study the detailed solutions and explanations provided for each question to understand the correct approach and methodology.
- Focus on Weak Areas: Use CAT solved questions to identify your weak areas and dedicate more time to improving them.
CAT Exam Sections Covered
Our comprehensive collection of CAT previous papers covers all three sections of the exam:
- VARC (Verbal Ability & Reading Comprehension): Practice reading comprehension passages, para jumbles, and other verbal ability questions from CAT previous years.
- DILR (Data Interpretation & Logical Reasoning): Master DI and LR questions with detailed solutions from CAT previous year papers.
- QA (Quantitative Ability): Solve arithmetic, algebra, geometry, and other quantitative ability questions from CAT solved papers.
Additional CAT Preparation Resources
Looking for more CAT preparation materials? Explore our comprehensive collection of:
- CAT Previous Papers Archive - Access questions from multiple years and slots
- CAT 2019 dilr-slot-2 Solved Solutions - Complete slot-wise solutions with explanations
- CAT Preparation Courses - Enroll in structured courses for comprehensive CAT preparation
Note: Regular practice of CAT previous year papers, combined with a structured study plan, is essential for achieving a high percentile in the CAT exam. Make sure to solve questions from all sections and review the solutions thoroughly to maximize your preparation effectiveness.
