Instructions
In a certain board examination, students were to appear for examination in five subjects: English, Hindi, Mathematics, Science and Social Science. Due to a certain emergency situation, a few of the examinations could not be conducted for some students. Hence, some students missed one examination and some others missed two examinations. Nobody missed more than two examinations.
The board adopted the following policy for awarding marks to students. If a student appeared in all five examinations, then the marks awarded in each of the examinations were on the basis of the scores obtained by them in those examinations.
If a student missed only one examination, then the marks awarded in that examination was the average of the best three among the four scores in the examinations they appeared for.
If a student missed two examinations, then the marks awarded in each of these examinations was the average of the best two among the three scores in the examinations they appeared for.
The marks obtained by six students in the examination are given in the table below. Each of them missed either one or two examinations.
The following facts are also known.
I. Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations.
II. The student who missed the Mathematics examination did not miss any other examination.
Ill. One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination.
Question 13.
What BEST can be concluded about the students who did not appear for the Hindi examination?
Question Explanation
Based on Condition II, we understand that the student who missed the Mathematics examination did not miss any other examination. This indicates that the Maths score is bound to be the average of the best 3 out of the 4 exam scores obtained by this candidate. Based on this inference, we can proceed with identifying the math score that can be represented as an average of the rest of the scores. We can straightaway eliminate Deep and Esha as potential candidates, given that their Mathematics score is greater than the rest of the exam scores. After estimating the average scores for the rest of the candidates, we observe that only Carl has missed his Mathematics examination.
For Carl: best 3 out of 4 - 80(Hindi), 90(Social Science), 100(Science)
Avg. = 270/3 = 90 which matches the given value
∴ Carl missed his Mathematics examination.
Further, based on Condition III, we can surmise that the student who missed Hindi and Science should have similar average scores in these two subjects. We notice that Alva has the same score of 75 in both Hindi and Science. The same can be said about Deep, who has a score of 90 in both these subjects. Thus, one out of Alva and Deep missed out on Hindi and Science examination, while the second individual missed out only on the Hindi examination.
Since we know that Carl, Alva and Deep are unlikely to have missed out on the English exam, we can divert our attention to determining which individual out of Bithi, Esha and Foni failed to appear for this subject. However, we notice that Bithi's English score is greater than the rest of her scores, thereby helping us eliminate her as the potential candidate.
For Esha: best 3 out of 4 - 85(Hindi), 95(Mathematics), 60(Science)
Avg. = 240/3 = 80 which matches the given value
∴ Esha most likely missed her English examination.
For Foni: best 3 out of 4 - 78(Mathematics), 83(Social Science), 88(Science)
Avg. = 249/3 = 83 which matches the given value
∴ Foni most likely missed her English examination.
Based on Condition I, we know that exactly two candidates missed the examinations for English, Hindi, Science, and Social Science.
For English, we determined these individuals to be Esha and Foni. For Hindi, we determined these individuals to be Alva and Deep. For Science, we know one of the individuals is either Alva or Deep. Given that Carl, Alva and Deep cannot be a part of the group that missed Science or Social Science exam, we can proceed by carefully scrutinizing the rest of the group that includes Bithi, Esha and Foni.
We notice that Bithi has a similar score in both Science and Social Science examination. Assuming that she did miss these exams, let us proceed to check if this was actually the case.
For Bithi: Best 2 out 3 - 90(English), 80(Hindi)
Avg = 170/2 = 85 which matches the given value
∴ Bithi is likely to have missed her Science and Social Science examinations.
We additionally notice that Foni has a similar score in English and Social Science. On considering the best 2 out of 3 scores, the average value of the score for both the subject holds (equal to 83). Thus, we can conclude that Bithi and Foni missed their Social Science examination.
Thus, the students who missed just one exam were: Carl (Mathematics); Esha (English) and one out of Alva and Deep (Hindi).
Hence of the six students, we can correctly determine the missed subjects for four of them (except Alva and Deep):
Mathematics: Carl ; English: Esha & Foni ; Hindi: Alva & Deep; Science: Bithi & one out of Alva and Deep ; Social Science: Foni & Bithi
Hence, the correct answer to this question is Option C: Alva and Deep.
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 2020 dilr-slot-1 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 2020 dilr-slot-1 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.
