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Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:
(i) If A is selected, neither F nor J can be selected.
(ii) If C is selected, then J is definitely selected.
(iii) H and K will always be selected together.
(iv) I and K will never be selected together.
Q. What could be the maximum strength of a team so formed?
  • a)
    Four
  • b)
    Six
  • c)
    Five
  • d)
    Seven
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Direction: Big B, the political wizard, was selecting his team for the...
Solution:

Given, Big B has to select a team of 2 speechwriters, 2 spokesman and 2 media coordinators from the available candidates.

Available Speechwriters: A, B, C, D
Available Spokesmen: E, F, G
Available Media Coordinators: H, I, J, K

Conditions:
(i) If A is selected, neither F nor J can be selected.
(ii) If C is selected, then J is definitely selected.
(iii) H and K will always be selected together.
(iv) I and K will never be selected together.

To form a team with maximum strength, we need to select candidates in such a way that none of the given conditions are violated.

Let's consider the given conditions and form a team accordingly:

Case 1: A is not selected
In this case, we can select any two speechwriters, any two spokesman and H and K as media coordinators.

Total number of ways to select 2 speechwriters from 3 (B, C, D) = 3C2 = 3 ways
Total number of ways to select 2 spokesman from 3 (E, F, G) = 3C2 = 3 ways
Total number of ways to select media coordinators (H and K) = 1 way

Total number of ways to form a team = 3×3×1 = 9 ways

Case 2: A is selected
In this case, we cannot select F or J as spokesman and we need to select J as media coordinator.

Total number of ways to select 1 speechwriter from 3 (B, C, D) = 3 ways
Total number of ways to select 1 spokesman from 2 (E, G) = 2 ways
Total number of ways to select media coordinators (H and K) = 1 way

Total number of ways to form a team = 3×2×1 = 6 ways

Therefore, the maximum strength of a team that can be formed is:

9 (from case 1) + 6 (from case 2) = 15

Hence, the correct option is (b) Six.
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Community Answer
Direction: Big B, the political wizard, was selecting his team for the...
A team of six persons can be formed as : Prshant, Amir, Sood, Gupta, Sriya, Deepti or Prashant, Sood. Gupta, Sriya, Deepti, Neta
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Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.What could be the maximum strength of a team so formed?a)Fourb)Sixc)Fived)SevenCorrect answer is option 'B'. Can you explain this answer?
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Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.What could be the maximum strength of a team so formed?a)Fourb)Sixc)Fived)SevenCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.What could be the maximum strength of a team so formed?a)Fourb)Sixc)Fived)SevenCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:(i) If A is selected, neither F nor J can be selected.(ii) If C is selected, then J is definitely selected.(iii) H and K will always be selected together.(iv) I and K will never be selected together.Q.What could be the maximum strength of a team so formed?a)Fourb)Sixc)Fived)SevenCorrect answer is option 'B'. Can you explain this answer?.
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