In a certain code language, ‘BREAK’ is coded as ‘57123’ and ‘BROKE’ is coded as ‘91753’. What is the code for ‘A’ in that language?

Question

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We are given two words and their codes:

BREAK -> 57123
BROKE -> 91753

Let's map the letters to the digits:

From BREAK and BROKE, the common letters are B, R, K, E.

From BREAK (B R E A K): 5 7 1 2 3
From BROKE (B R O K E): 9 1 7 5 3

Let's analyze letter by letter:
- B: In BREAK, B is 5; in BROKE, B is 9. So B corresponds to different digits in the two codes, which suggests the code depends on position or the code is not consistent per letter. But let's check carefully.

Wait, the letters are in different positions:
BREAK: B(1) R(2) E(3) A(4) K(5)
Code: 5 7 1 2 3

BROKE: B(1) R(2) O(3) K(4) E(5)
Code: 9 1 7 5 3

Let's map letters to digits by position:
- B: position 1 in both words, codes are 5 and 9 respectively. So B corresponds to 5 in BREAK and 9 in BROKE.
- R: position 2 in both words, codes are 7 and 1.
- E: position 3 in BREAK is 1, but in BROKE E is position 5 with code 3.
- A: position 4 in BREAK is 2.
- K: position 5 in BREAK is 3, position 4 in BROKE is 5.

Since the same letter corresponds to different digits in different positions, the code is position-based rather than letter-based.

But the question asks for the code of 'A'. 'A' is only in BREAK at position 4, and the code digit at position 4 is 2.

Therefore, the code for 'A' is 2.

Answer

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