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 If the positions of the third and tenth letters of the word 'DOCUMENTATION' are interchanged, and likewise the position of the fourth and seventh letters, the second and sixth letters, is also interchanged, which of the following will be eleventh letter from the right end ?

  • A.U
  • B.C
  • C.T
  • D.I

Answer: C

Correct answer: T

Apply the three interchanges to DOCUMENTATION: 3rd with 10th (C and T), 4th with 7th (U and N), 2nd with 6th (O and E). The word becomes

D E T N M O U T A C I O N

With thirteen letters, the eleventh from the right is the third from the left:

\[ 13 - 11 + 1 = 3 \rightarrow T \]

Converting the count before reading off is quicker than counting backwards through the string, and less error-prone.

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