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Puzzles Aptitude Questions & Formulas with answer

Ques 1 Gate 2022

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.

(b) is the correct answer.

A palindrome is a word that reads the same forwards and backwards.
Examples: RADAR, MADAM, REFER, 12321

In this problem, we have two initial plates with letters, and we need to find which combination of three additional plates will help us form a five-letter palindrome using all five plates exactly once.

Important: The plates can be rotated in their plane, so some letters can look different when rotated.

Option a: Using the three plates gives us D D J (after rotating the 2nd and 3rd plates)
This is not a palindrome.

Option b: Using the three plates gives us R A R (after rotating the 2nd and 3rd plates)
This is a palindrome! It reads the same forwards and backwards.

Option c: Using the three plates gives us Z E D (after rotating the 2nd and 3rd plates)
This is not a palindrome.

Option d: Using the three plates gives us I L Y (after rotating the 2nd and 3rd plates)
This is not a palindrome.

Answer: Option b is correct because it forms the palindrome "RARAR" or simply "R A R" when we consider the pattern.