In a certain code language, 'TAIL' is coded as '7614' and 'TALE' is coded as '1749'. What is the code for 'I' in the given language?
- A9
- B6
- C1
- D7
Solution & Step-by-step Explanation
Let's list the two words and their corresponding sets of code digits:
’TAIL’→{7,6,1,4}
’TALE’→{1,7,4,9}
Let's find the common letters between 'TAIL' and 'TALE':
The common letters are T, A, and L.
Let's find the common digits between their codes:
The common digits are 1, 4, and 7.
By elimination:
The only unique letter in 'TAIL' is I.
The only unique digit in its code ('7614') is 6.
Therefore, the code for 'I' must be 6.
’TAIL’→{7,6,1,4}
’TALE’→{1,7,4,9}
Let's find the common letters between 'TAIL' and 'TALE':
The common letters are T, A, and L.
Let's find the common digits between their codes:
The common digits are 1, 4, and 7.
By elimination:
The only unique letter in 'TAIL' is I.
The only unique digit in its code ('7614') is 6.
Therefore, the code for 'I' must be 6.