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Question

Each of the six friends A, B, C, D, E and F is reading one book among the books G, H, I, J, K and L in a reading program. A and B are not reading books G, J and L. F is reading book H. B, C and D are not reading the books I and L. Which book is being read by A?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper PDF (31-Jan-2021) (Shift 1)
The correct answer is
I

Reading Program Constraints

Six friends (A, B, C, D, E, F) are reading six distinct books (G, H, I, J, K, L).

Key Constraints:

  • A and B do not read books G, J, L.
  • F is reading book H.
  • B, C, and D do not read books I, L.

Book Assignments Deduction

  1. Friend F: It's given that F reads H. This means H is unavailable for friends A, B, C, D, and E.

    Initial Possibilities:

    • A: Can't read G, J, L, H. Possible: {I, K}
    • B: Can't read G, J, L, H. Possible: {I, K}
    • C: Can't read I, L, H. Possible: {G, J, K}
    • D: Can't read I, L, H. Possible: {G, J, K}
    • E: No direct restrictions yet.
    • F: Reads H.
  2. Book L: Consider book L. Friends A, B, C, and D cannot read it. Friend F is reading H. This leaves only Friend E to read book L.

    Assignment: E reads L.

    Current Assignments: F -> H, E -> L.

    Remaining Books for A, B, C, D: {G, J, I, K}

  3. Books G, J, K for C, D: From step 1, friends A and B must choose their books from {I, K}. This means book K must be assigned to either A or B.

    Since K is taken by either A or B, it cannot be read by C or D. C and D's possibilities were {G, J, K}. Now they are restricted to {G, J}.

    Deduction: C and D read books G and J (in some order).

  4. Books I, K for A, B: With F reading H, E reading L, and C, D reading G and J, the only books left for A and B are I and K.

    Deduction: {A, B} read books {I, K}.

  5. Friend B's Constraint: We know that B cannot read book I. Since B must read either I or K, B must read book K.

    Assignment: B reads K.

  6. Friend A: Since A and B must read books I and K, and we've determined B reads K, A must read the remaining book, which is I.

    Assignment: A reads I.

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Important Questions from Logical Puzzle

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