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Question

In a certain code language, ROTARY is written as 65. How will CONSCIENCE be written as in that language?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
180

Decoding the Alphabetical Code Pattern

The problem uses a coding scheme where words are represented by the sum of the reverse alphabetical positions of their letters. The reverse position is calculated using the formula: Reverse Position = 27 - (Alphabetical Position).

Applying the Code to 'ROTARY'

First, let's verify the code for 'ROTARY' which is given as 65.

  • R: Alphabetical Position = 18, Reverse Position = 27 - 18 = 9
  • O: Alphabetical Position = 15, Reverse Position = 27 - 15 = 12
  • T: Alphabetical Position = 20, Reverse Position = 27 - 20 = 7
  • A: Alphabetical Position = 1, Reverse Position = 27 - 1 = 26
  • R: Alphabetical Position = 18, Reverse Position = 27 - 18 = 9
  • Y: Alphabetical Position = 25, Reverse Position = 27 - 25 = 2

Sum of reverse positions for 'ROTARY' = $9 + 12 + 7 + 26 + 9 + 2 = 65$. The pattern is confirmed.

Calculating the Code for 'CONSCIENCE'

Now, we apply the same pattern to the word 'CONSCIENCE'.

  • C: Position = 3, Reverse = 27 - 3 = 24
  • O: Position = 15, Reverse = 27 - 15 = 12
  • N: Position = 14, Reverse = 27 - 14 = 13
  • S: Position = 19, Reverse = 27 - 19 = 8
  • C: Position = 3, Reverse = 27 - 3 = 24
  • I: Position = 9, Reverse = 27 - 9 = 18
  • E: Position = 5, Reverse = 27 - 5 = 22
  • N: Position = 14, Reverse = 27 - 14 = 13
  • C: Position = 3, Reverse = 27 - 3 = 24
  • E: Position = 5, Reverse = 27 - 5 = 22

Sum of reverse positions for 'CONSCIENCE' = $24 + 12 + 13 + 8 + 24 + 18 + 22 + 13 + 24 + 22 = 180$.

Therefore, 'CONSCIENCE' will be written as 180 in this code language.

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