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In a code, 'WIND' is '2468' and 'DINE' is '8641'. What is the code for 'W'?
2
4
6
8
2
Identify common letters in both words (D, I, N) and their common numerical values to isolate the unique digit for the remaining letter.
Identify common letters in both words (D, I, N) and their common numerical values to isolate the unique digit for the remaining letter.
Analyze Common Letters
WIND is coded as 2468. DINE is coded as 8641. The common letters between WIND and DINE are D, I, and N. The common digits between 2468 and 8641 are 4, 6, and 8.
Map Unique Letters
Since D, I, and N correspond to 4, 6, and 8 in some order, the letter W in WIND (which corresponds to 2468) must correspond to the only digit not shared with DINE, which is 2. Similarly, E in DINE corresponds to 1.
B: 4 is one of the codes for I, N, or D, not W; C: 6 is one of the codes for I, N, or D, not W; D: 8 is one of the codes for I, N, or D, not W.
A is correct because W is the only letter in the word WIND that does not appear in DINE, and 2 is the only digit in 2468 that does not appear in 8641.
In coding-decoding questions, always compare words with common letters first to establish a subset of possible values before solving for unique characters.