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In a certain code language, ‘RUST’ is coded as ‘7539’ and ‘SORE’ is coded as ‘3472’. How will ‘TRUE’ be coded in that language?

  1. A
    4372
  2. B
    4732
  3. C
    9725
  4. D
    9752

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.

Practice this question

Try it yourself before checking the explanation above.

In a certain code language, ‘RUST’ is coded as ‘7539’ and ‘SORE’ is coded as ‘3472’. How will ‘TRUE’ be coded in that language?
A
4372
B
4732
C
9725
D
9752

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