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Answer to "4-card logic"

From left to right the cards are:   jack of clubs, king of diamonds, jack of hearts, ace of diamonds.

The king has at least one card on its left and a diamond on its right, but not next to it (separated by at least one card). The king is thus the second card from the left. The clues suggest there are at least two jacks.
There is an ace to the right of the king but not to the left of a jack, so the ace is the fourth card from the left and the first and third cards are jacks. The club is to the left of the king and there is a diamond to the left of a heart.
This can only be a second diamond, which is the king, and the third card is the jack of hearts.  

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