Understanding the Coding Pattern
The question asks us to find the numerical code for the word FOX based on a coding language where ROSE is coded as 51 and WAX is coded as 33. We need to identify the logic used in this coding language.
Decoding the Coding Language Logic
A common method in these types of questions is to use the alphabetical positions of the letters. Let's assign positions: A=1, B=2, ..., Z=26. We can test if adding these positions works.
- ROSE: R is the 18th letter, O is 15th, S is 19th, and E is 5th. The sum is $18 + 15 + 19 + 5 = 57$. This is not 51.
- WAX: W is 23rd, A is 1st, and X is 24th. The sum is $23 + 1 + 24 = 48$. This is not 33.
Since the direct sum doesn't match, let's try using the reverse alphabetical positions (Z=1, Y=2, ..., A=26). The formula to find the reverse position of a letter is $P_{rev} = 27 - P$, where $P$ is the standard alphabetical position.
Applying the Logic to ROSE
Let's calculate the sum of reverse positions for ROSE:
| Letter | Standard Position (P) | Reverse Position ($P_{rev} = 27 - P$) |
|---|---|---|
| R | 18 | $27 - 18 = 9$ |
| O | 15 | $27 - 15 = 12$ |
| S | 19 | $27 - 19 = 8$ |
| E | 5 | $27 - 5 = 22$ |
| Total Sum | $9 + 12 + 8 + 22 = 51$ |
The sum matches the given code (51) for ROSE. This confirms our reverse position logic is likely correct.
Verifying the Logic with WAX
Let's verify this pattern using the word WAX:
| Letter | Standard Position (P) | Reverse Position ($P_{rev} = 27 - P$) |
|---|---|---|
| W | 23 | $27 - 23 = 4$ |
| A | 1 | $27 - 1 = 26$ |
| X | 24 | $27 - 24 = 3$ |
| Total Sum | $4 + 26 + 3 = 33$ |
The sum for WAX is 33, which also matches the given code. The logic is now confirmed.
Calculating the Code for FOX
Now we apply the same logic to find the code for FOX:
| Letter | Standard Position (P) | Reverse Position ($P_{rev} = 27 - P$) |
|---|---|---|
| F | 6 | $27 - 6 = 21$ |
| O | 15 | $27 - 15 = 12$ |
| X | 24 | $27 - 24 = 3$ |
| Total Sum | $21 + 12 + 3 = 36$ |
The sum of the reverse alphabetical positions for FOX is 36.
Conclusion
By summing the reverse alphabetical positions of the letters in each word, we found that ROSE corresponds to 51 and WAX corresponds to 33. Applying this pattern to FOX, we get a code of 36.
Similar Questions
In a certain code language, 'ROCKET' is coded as '36', and 'MASON' is coded as '25'. How will 'SERVITUDE' be coded in that language?
In a certain code language, 'CHOICE' is written as '53', 'CHARGE' is written as '52', how will 'CHANCE' be written in that language?
In a certain code language, ‘SEA’ is written as ‘75’, and ‘POND’ is written as ‘196’. How will ‘LAKE’ be written in that language?
In a certain code language, 'CATHOLIC' is written as '79', 'AUDIENCE' is written as '70', how will 'ASSEMBLY' be written in that language?
In a code language, ‘FREQUENT’ is written as ‘6 - 18 - 5 - 17 - 21 - 5 - 14 - 20’ and ‘DANGER’ is written as ‘4 - 1 - 14 - 7 - 5 - 18’. How will ‘SOLITUDE’ be written in that language?
In a certain code language, ‘PEOPLE’ is written as ‘5’ and ‘ACADEMIC’ is written as ‘7’. How will ‘PRESIDENT’ be written in that language?
In a certain code language, 'COURT' is coded as ‘5 - 77’, 'CASE’ is coded as '4 - 28’. How will 'LAWYER' be coded in that language?
In a certain code language, 'MOSQUE' is written as '92', 'TEMPLE' is written as '111', how will 'CHURCH' be written in that language?
In a certain code language, ‘FINGER’ is written as ‘31’ and ‘HOLIDAY’ is written as ‘24’. How will ‘WHOLE’ be written in that language?
In a certain code language, ‘HEIGHT’ is written as ‘51’ and ‘FULL’ is written as ‘47’.How will ‘DISH’ be written in that language?
Important Questions from Coding Decoding Based on Numbers
If ‘Monday’ is encrypted as 123456 and ‘Belt’ is encrypted as 0789, how would you encrypt the word ‘Tombay’?
In a certain code language, 'IT' is written as '58', 'SAD' is written as '48'. What is the code for 'FISH' in that code language?
If 31 L 31 J 5 = 186 and 47 J 2 L 43 = 137, then 52 L 64 J 3 = ?
If R is coded as 4, M is coded as 1, N is coded as 5, S is coded as 8, Q is coded as 0, L is coded as 6 and P is coded as 3, then what is the coded form of SMLRP ?
If BUN = 18, MICE = 32, then what is the code for DEMON?
