In a certain code language, ‘RUST’ is coded as ‘7539’ and ‘SORE’ is coded as ‘3472’. How will ‘TRUE’ be coded in that language?
- A4372
- B4732
- C9725
- D9752
Solution & Step-by-step Explanation
Let's extract the individual codes for each character from the given words by finding common letters:
Given:
RUST→7,5,3,9
SORE→3,4,7,2
Let's check the letters common to both words: R and S.
The common digits in the codes are 3 and 7.
In RUST, R is the 1st letter and S is the 3rd letter. The corresponding positions contain 7 and 3. So, R=7 and S=3.
This matches SORE, where S is 1st (digit 3) and R is 3rd (digit 7).
By direct positional comparison:
From RUST: R=7, U=5, S=3, T=9
From SORE: S=3, O=4, R=7, E=2
Now we determine the code for TRUE:
T=9
R=7
U=5
E=2
Combining these values in order gives 9752.
Given:
RUST→7,5,3,9
SORE→3,4,7,2
Let's check the letters common to both words: R and S.
The common digits in the codes are 3 and 7.
In RUST, R is the 1st letter and S is the 3rd letter. The corresponding positions contain 7 and 3. So, R=7 and S=3.
This matches SORE, where S is 1st (digit 3) and R is 3rd (digit 7).
By direct positional comparison:
From RUST: R=7, U=5, S=3, T=9
From SORE: S=3, O=4, R=7, E=2
Now we determine the code for TRUE:
T=9
R=7
U=5
E=2
Combining these values in order gives 9752.