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Directions: These questions are based on the following information
IT School of Management is a management institute involved in teaching,training and research. Currently it has 37 faculty members. They are involved in three jobs: teaching, training and research. Each faculty member working with IT School of Management has to be involved in at least one of the three jobs mentioned above:
  • A maximum number of faculty members are involved in training. Among them, a number of faculty members are having additional involvement in the research.
  • The number of faculty members in research alone is double the number of faculty members involved in all the three jobs.
  • 17 faculty members are involved in teaching. The number of faculty members involved in teaching alone is less than the number of faculty members involved in research alone.
  • The faculty members involved in the teaching are also involved in at least one more job.
(2011)
Q. Based on the information given above, the minimum number of faculty members involved in both training and teaching, but not in research is:
  • a)
    1
  • b)
    3
  • c)
    4
  • d)
    5
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Directions: These questions are based on the following informationIT S...
Minimum Number of Faculty Members Involved in Both Training and Teaching, but not in Research:
1. Given Information:
- Maximum number of faculty members are involved in training.
- Number of faculty members in research alone is double the number of faculty members involved in all three jobs.
- 17 faculty members are involved in teaching.
- Faculty members involved in teaching are also involved in at least one more job.
2. Analysis:
- Since the maximum number of faculty members are involved in training, let's assume all 37 faculty members are involved in training.
- Number of faculty members in research alone = 2 * (faculty members in all three jobs) = 2 * 37 = 74 (which is not possible as total faculty members are 37)
3. Deduction:
- Since the above assumption is not possible, we need to consider that some faculty members are involved in teaching and research.
- The number of faculty members involved in teaching alone is less than the number of faculty members involved in research alone.
- This implies that there must be faculty members involved in both teaching and research.
4. Minimum Number Calculation:
- Let's assume there are x faculty members involved in both training and teaching, but not in research.
- Therefore, the number of faculty members in research alone = 17 (teaching alone) + x.
- But the number of faculty members in research alone is double the number of faculty members involved in all three jobs.
- So, 17 + x = 2 * 37, x = 1.
Therefore, the minimum number of faculty members involved in both training and teaching, but not in research is 1.
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Directions: These questions are based on the following informationIT School of Management is a management institute involved in teaching,training and research. Currently it has 37 faculty members.They are involved in three jobs: teaching, training and research. Each faculty member working with IT School of Management has to be involved in at least one of the three jobs mentioned above: A maximum number of faculty members are involved in training. Among them, a number of faculty members are having additional involvement in the research. The number of faculty members in research alone is double the number of faculty members involved in all the three jobs. 17 faculty members are involved in teaching. The number of faculty members involved in teaching alone is less than the number of faculty members involved in research alone. The faculty members involved in the teaching are also involved in at least one more job.(2011)Q.Based on the information given above, the minimum number of faculty members involved in both training and teaching, but not in research is:a)1b)3c)4d)5Correct answer is option 'A'. Can you explain this answer?
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