Which playing card replaces the question mark?

2024

Which playing card replaces the question mark?

  1. A.

    Queen of Diamonds

  2. B.

    King of Clubs

  3. C.

    Jack of Spades

  4. D.

    None of these

Attempted by 1 students.

Show answer & explanation

Correct answer: B

Grid-based playing-card puzzles are read along a boustrophedon (snake) path across the rows, and each card in that reading order is linked to the next by two independent rules applied together: a fixed rank progression under modulo-13 arithmetic (Ace = 1 through King = 13) and a suit that cycles through a fixed repeating order.

  1. Reading the grid as a snake path: Row 1 left-to-right, Row 2 right-to-left, Row 3 left-to-right, produces one continuous 18-card sequence.

  2. Testing the rank rule on known cards confirms it: 7 of Hearts leads to Queen of Clubs (7 + 5 = 12), Queen of Clubs leads to 4 of Diamonds (12 + 5 = 17, which wraps to 4), and so on throughout the sequence — each rank is the previous rank plus 5, wrapping modulo 13.

  3. Testing the suit rule confirms a fixed 4-step cycle: Hearts to Clubs to Diamonds to Spades to Hearts, repeating every four cards in the sequence.

  4. The card immediately before the missing card is the 8 of Hearts. Applying the rank rule: 8 + 5 = 13, which is King. Applying the suit rule: the suit after Hearts in the cycle is Clubs. So the missing card is the King of Clubs.

Cross-check: this can be verified moving forward too — from a King (13), the next rank is 13 + 5 = 18, which wraps to 5, and the next suit after Clubs is Diamonds, predicting a 5 of Diamonds immediately after the missing card, which is exactly the card shown there. Both rules hold consistently across all 18 cards in the sequence, confirming the King of Clubs.

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