Question 14
A Martian code has two parts:
- The first is the value of the word.
- The second encodes the order of the letters occurring in the word.
The table gives the letter values.
| Letter | A | B | M | N | O | R | S | T | U |
|---|---:|---:|---:|---:|---:|---:|---:|---:|---:|
| Value | 1 | 2 | 4 | 10 | 50 | 180 | 300 | 650 | 960 |
For example, MARS is encoded as follows:
- Add the letter values: $4+1+180+300=485$.
- Sort the letters alphabetically: A–M–R–S. A is represented by 1; M, R and S are represented by 2, 3 and 4 respectively.
- Combine the results: MARS is encoded as 485–2134.
Which word below is represented by 2101–415632?
- The first is the value of the word.
- The second encodes the order of the letters occurring in the word.
The table gives the letter values.
| Letter | A | B | M | N | O | R | S | T | U |
|---|---:|---:|---:|---:|---:|---:|---:|---:|---:|
| Value | 1 | 2 | 4 | 10 | 50 | 180 | 300 | 650 | 960 |
For example, MARS is encoded as follows:
- Add the letter values: $4+1+180+300=485$.
- Sort the letters alphabetically: A–M–R–S. A is represented by 1; M, R and S are represented by 2, 3 and 4 respectively.
- Combine the results: MARS is encoded as 485–2134.
Which word below is represented by 2101–415632?