In a certain code language, ‘BIRTHDAY’ is written as ‘ADHTRIBY’ and ‘CONGRESS’ is written as ‘SERGNOCS’. How will ‘DIVISION’ be written in that language?

Question

Accepted Answer

Step 1: Analyze the given examples to find the pattern.

Example 1: BIRTHDAY -> ADHTRIBY
Positions: B(1) I(2) R(3) T(4) H(5) D(6) A(7) Y(8)
Code: A(7) D(6) H(5) T(4) R(3) I(2) B(1) Y(8)

Here, the code is formed by taking letters from the original word in the order: 7th, 6th, 5th, 4th, 3rd, 2nd, 1st, 8th.

Example 2: CONGRESS -> SERGNOCS
Positions: C(1) O(2) N(3) G(4) R(5) E(6) S(7) S(8)
Code: S(8) E(6) R(5) G(4) N(3) O(2) C(1) S(7)

Here, the code is formed by taking letters in the order: 8th, 6th, 5th, 4th, 3rd, 2nd, 1st, 7th.

Step 2: From these two examples, the pattern is:
- For 8-letter words, the code is formed by rearranging letters in the order:
  For BIRTHDAY: 7,6,5,4,3,2,1,8
  For CONGRESS: 8,6,5,4,3,2,1,7

Step 3: Check which pattern fits better or if there's a consistent approach.

Notice that in both examples, letters from positions 3 to 6 are kept in the same order (5,4,3) reversed or not.

Step 4: Try to apply the pattern from CONGRESS (8,6,5,4,3,2,1,7) to DIVISION.

DIVISION positions:
D(1) I(2) V(3) I(4) S(5) I(6) O(7) N(8)

Using CONGRESS pattern: 8,6,5,4,3,2,1,7
Letters: N(8), I(6), S(5), I(4), V(3), I(2), D(1), O(7)

This gives: N I S I V I D O

Step 5: Check options for this sequence or rearrangements.

Options:
1. NDOISIVI
2. DNOISIVI
3. OISIVIDN
4. NOISIVID

Our sequence is N I S I V I D O which is close to NOISIVID if rearranged.

Step 6: Check if the pattern is reversed or slightly different.

Try BIRTHDAY pattern (7,6,5,4,3,2,1,8):
Positions: 7,6,5,4,3,2,1,8
Letters: O(7), I(6), S(5), I(4), V(3), I(2), D(1), N(8)
Sequence: O I S I V I D N

This matches option 3: OISIVIDN

Step 7: Since BIRTHDAY pattern matches option 3 and CONGRESS pattern matches none exactly, the pattern is likely the BIRTHDAY pattern.

Therefore, the code for DIVISION is 'OISIVIDN'.

Final Answer: Option 3.

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