Discussion
A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters.
From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome. The player should use all the five plates exactly once. The plates can be rotated in their plane.
- A.
- B.
- C.
- D.
Answer: B
The plates in option (B), R, A and R, complete the palindrome RADAR.
With the given A and D, option (B) supplies an R, an upside-down A and an upside-down R. Since plates may be rotated in their plane, turning the last two through 180 degrees gives a normal A and R, and the five letters R, A, D, A, R read the same both ways.
A five-letter palindrome needs two matching pairs and one middle letter. Option (A) gives A, D, D, D, J, with both A and J unpaired. Option (C) gives A, D, Z, E, D, leaving A, Z and E unpaired. Option (D) gives A, D, I, L, Y, five different letters. None of these can be arranged into a palindrome.
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