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Question

Each of A, B, C, D, E and F has a badminton match on a different day of a week starting from Monday and ending on Saturday of the same week. C has match on Friday. Only three people have matches between C and F. D has match immediately after E but immediately before B. On which day of the week does E have the match?

The correct answer is
Tuesday

This problem involves scheduling matches for six people (A, B, C, D, E, F) across six days (Monday to Saturday) based on given constraints.

Scheduling Constraints Analysis

  • Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday.
  • Constraint 1: C has a match on Friday.
  • Constraint 2: Exactly three people have matches between C and F.
  • Constraint 3: D has a match immediately after E, and D has a match immediately before B. This means the sequence must be E, D, B consecutively.

Step-by-Step Deduction

  1. Position C: Based on Constraint 1, we place C on Friday.

    $_ _ _ _ C _$ (Mon Tue Wed Thu Fri Sat)

  2. Position F: Constraint 2 states there are 3 people between C (Friday) and F. The only way to have 3 days between them within the Mon-Sat week is if F is on Monday. The days Tuesday, Wednesday, and Thursday fall between Monday and Friday.

    $F _ _ _ C _$ (Mon Tue Wed Thu Fri Sat)

  3. Position E, D, B: Constraint 3 requires the sequence E, D, B. The only consecutive block of three empty days available is Tuesday, Wednesday, and Thursday.

    Therefore, E must be on Tuesday, D on Wednesday, and B on Thursday.

    $F E D B C _$ (Mon Tue Wed Thu Fri Sat)

  4. Position A: The only person left is A, and the only day left is Saturday.

    $F E D B C A$ (Mon Tue Wed Thu Fri Sat)

Final Schedule and Answer

The complete schedule is:

  • Monday: F
  • Tuesday: E
  • Wednesday: D
  • Thursday: B
  • Friday: C
  • Saturday: A

Based on this schedule, E has the match on Tuesday.

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Important Questions from Puzzle

  1. Seven friends O, P, Q, R, S, T and U are watching a movie sitting in a row. S is sitting at one extreme end. P is sitting second to the right of S. P is sitting between O and Q. U is NOT sitting at any extreme end. R Is sitting to the immediate left of T. Q does not sit beside S.Who is sitting at the extreme left end?

  2. If a rope 84 m long is divided in the ratio 7 : 5, then the length of the longer piece (in m ) is:
  3. What should come in place of the question mark (?) in the given series? 
    86, 88, 90, 92, 94, ?

  4. 21 is related to 220 by certain logic. Following the same logic, 72 is related to 781. To which of the following is 27 related, following the same logic?

    (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

  5. 40 is related to 53 following certain logic. Following the same logic, 8 is related to 13. To which of the following numbers is 68 related, following the same logic? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/deleting/multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

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