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.
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Answer: B
To construct a five-letter palindrome, the letters must form a symmetric sequence of the pattern:
1. Identify the given plates:
The two given plates contain the letters A and D.
2. Analyze the options:
By rotating the plates in their plane to make the letters upright, we can identify the letters in each option:
- Option A: Contains letters R, A, and D. Combined with the given plates, we get {A, D, R, A, D}, which cannot form a 5-letter palindrome.
- Option B: Contains letters R, A, and R. Combined with the given plates, we get {A, D, R, A, R}.
- Option C: Contains letters I, D, and I. Combined with the given plates, we get {A, D, I, D, I}, which cannot form a 5-letter palindrome.
- Option D: Contains letters R, A, and D.
3. Constructing the palindrome:
Using the plates from Option B (R, A, R) along with the given plates (A, D), we have the set of letters: {R, A, D, A, R}.
These can be arranged to form the well-known five-letter palindrome:
R A D A R
Thus, Option B is the correct combination.
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