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A manufacturing company conducted workshops on three techniques namely designing, formatting and testing for its executives. The number of executives who attended the workshop on designing is twice and thrice of the number of executives who attended the workshops on formatting and testing respectively. 42 executives attended the workshop on formatting. The aggregate number of executives who attended the workshops on exactly two techniques is at most 25% of the aggregate number of executives who attended the workshops on exactly one technique. Workshops on any combination of exactly two techniques were attended by more than 1 executive.
If the minimum possible executives attended the workshop on all three techniques, then find the minimum possible number of executives who attended the workshop on designing only.
  • a)
    56
  • b)
    61
  • c)
    62
  • d)
    63
Correct answer is option 'B'. Can you explain this answer?

Answers

Minimum possible number of executives who attended the workshop on all three techniques = 0.
Since we have to minimise the number of executives who attended the workshop on only designing, we have to maximise the number of executives who attended the workshop on designing, formatting and testing.
A minimum number of employees who attended the workshop on formatting and testing = 2.
A + 2B = 154.
Maximum possible value of B = 25 (Since maximum possible value of B = 0.25A)
The minimum possible value of the number of executives who attended the workshop on only designing.
= 84-(25 - 2) = 61.

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A manufacturing company conducted workshops on three techniques namely designing, formatting and testing for its executives. The number of executives who attended the workshop on designing is twice and thrice of the number of executives who attended the workshops on formatting and testing respectively. 42 executives attended the workshop on formatting. The aggregate number of executives who attended the workshops on exactly two techniques is at most 25% of the aggregate number of executives who attended the workshops on exactly one technique. Workshops on any combination of exactly two techniques were attended by more than 1 executive.If the minimum possible executives attended the workshop on all three techniques, then find the minimum possible number of executives who attended the workshop on designing only.a)56b)61c)62d)63Correct answer is option 'B'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A manufacturing company conducted workshops on three techniques namely designing, formatting and testing for its executives. The number of executives who attended the workshop on designing is twice and thrice of the number of executives who attended the workshops on formatting and testing respectively. 42 executives attended the workshop on formatting. The aggregate number of executives who attended the workshops on exactly two techniques is at most 25% of the aggregate number of executives who attended the workshops on exactly one technique. Workshops on any combination of exactly two techniques were attended by more than 1 executive.If the minimum possible executives attended the workshop on all three techniques, then find the minimum possible number of executives who attended the workshop on designing only.a)56b)61c)62d)63Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A manufacturing company conducted workshops on three techniques namely designing, formatting and testing for its executives. The number of executives who attended the workshop on designing is twice and thrice of the number of executives who attended the workshops on formatting and testing respectively. 42 executives attended the workshop on formatting. The aggregate number of executives who attended the workshops on exactly two techniques is at most 25% of the aggregate number of executives who attended the workshops on exactly one technique. Workshops on any combination of exactly two techniques were attended by more than 1 executive.If the minimum possible executives attended the workshop on all three techniques, then find the minimum possible number of executives who attended the workshop on designing only.a)56b)61c)62d)63Correct answer is option 'B'. Can you explain this answer?.
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Minimum possible number of executives who attended the workshop on all three techniques = 0.Since we have to minimise the number of executives who attended the workshop on only designing, we have to maximise the number of executives who attended the workshop on designing, formatting and testing.A minimum number of employees who attended the workshop on formatting and testing = 2.A + 2B = 154.Maximum possible value of B = 25 (Since maximum possible value of B = 0.25A)The minimum possible value of the number of executives who attended the workshop on only designing.= 84-(25 - 2) = 61.