CAT Exam  >  CAT Questions  >   A manufacturing company conducted workshops ... Start Learning for Free
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 maximum possible executives attended the workshop on all three techniques, then find the maximum possible number of executives who attended the workshop on both designing and formatting but not testing.
  • a)
    11
  • b)
    10
  • c)
    9
  • d)
    8
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A manufacturing company conducted workshops on three techniques namel...
Maximum possible number of executives who attended the training sessions on all the three techniques.
= 28 - (x3 + xs + x6)
= 28 - (0 + 2 + 2) = 24.
Now,
A + 2B = 154
⇒ A + 2B = 154 - 72 = 82.
Since the maximum value of B can be 0.25A, therefore the maximum possible value of B can be 13.
Therefore the maximum possible number of executives who attended the workshop on designing and formatting.
= 13 - (2 + 2) = 9.
View all questions of this test
Most Upvoted Answer
A manufacturing company conducted workshops on three techniques namel...
Given Information:
- Number of executives attending workshop on formatting: 42
- Number of executives attending workshop on designing is twice the number attending workshop on formatting
- Number of executives attending workshop on designing is thrice the number attending workshop on testing
- Number of executives attending workshop on exactly two techniques is at most 25% of those attending workshop on exactly one technique
- Workshops on any combination of exactly two techniques were attended by more than 1 executive

Calculations:
Let the number of executives attending workshops on designing, formatting, and testing be D, F, and T respectively.
From the given information:
- D = 2F
- D = 3T
- F = 42
- D + F + T - 3x (Number of executives attending workshops on all three techniques) = Total number of executives attending workshops on at least one technique

Maximum Possible Executives Attending Workshops on All Three Techniques:
Let the number of executives attending workshops on all three techniques be x.
Then,
D + F + T - 3x = D + F + T - x (All executives attending at least one technique)
=> x = 25% of (D + F + T)
=> x = 0.25(D + F + T)

Maximum Possible Executives Attending Workshops on Both Designing and Formatting but Not Testing:
We need to find the maximum possible number of executives who attended the workshop on both designing and formatting but not testing.
This can be calculated by finding the number of executives who attended workshops on designing and formatting but not testing, i.e., D - x.
Substitute the values of D, F, and T in the equation to get the final answer.
Therefore, the maximum possible number of executives who attended the workshop on both designing and formatting but not testing is 9 (Option C).
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

Top Courses for CAT

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 maximum possible executives attended the workshop on all three techniques, then find the maximum possible number of executives who attended the workshop on both designing and formatting but not testing.a)11b)10c)9d)8Correct answer is option 'C'. Can you explain this answer?
Question Description
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 maximum possible executives attended the workshop on all three techniques, then find the maximum possible number of executives who attended the workshop on both designing and formatting but not testing.a)11b)10c)9d)8Correct answer is option 'C'. Can you explain this answer? for CAT 2024 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 maximum possible executives attended the workshop on all three techniques, then find the maximum possible number of executives who attended the workshop on both designing and formatting but not testing.a)11b)10c)9d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 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 maximum possible executives attended the workshop on all three techniques, then find the maximum possible number of executives who attended the workshop on both designing and formatting but not testing.a)11b)10c)9d)8Correct answer is option 'C'. Can you explain this answer?.
Solutions 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 maximum possible executives attended the workshop on all three techniques, then find the maximum possible number of executives who attended the workshop on both designing and formatting but not testing.a)11b)10c)9d)8Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 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 maximum possible executives attended the workshop on all three techniques, then find the maximum possible number of executives who attended the workshop on both designing and formatting but not testing.a)11b)10c)9d)8Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 maximum possible executives attended the workshop on all three techniques, then find the maximum possible number of executives who attended the workshop on both designing and formatting but not testing.a)11b)10c)9d)8Correct answer is option 'C'. Can you explain this answer?, a detailed solution 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 maximum possible executives attended the workshop on all three techniques, then find the maximum possible number of executives who attended the workshop on both designing and formatting but not testing.a)11b)10c)9d)8Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of 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 maximum possible executives attended the workshop on all three techniques, then find the maximum possible number of executives who attended the workshop on both designing and formatting but not testing.a)11b)10c)9d)8Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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 maximum possible executives attended the workshop on all three techniques, then find the maximum possible number of executives who attended the workshop on both designing and formatting but not testing.a)11b)10c)9d)8Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev