In a certain code language, 'FUTURE' is coded as ‘91’ and ‘MONEY’ is coded as ‘72’. How will 'SECURE' be coded in that language?
71
Understanding the Word Coding Pattern
This question involves a coding language where words are converted into numbers based on a specific pattern. We are given two examples: 'FUTURE' is coded as '91' and 'MONEY' is coded as '72'. We need to find the coding rule and apply it to find the code for 'SECURE'.
Analyzing the Given Coding Examples
Let's examine the letters in the given words and try to find a relationship with the assigned numbers. A common method in such coding problems is to consider the alphabetical position of each letter (A=1, B=2, ..., Z=26).
Coding for 'FUTURE'
Let's find the alphabetical positions for each letter in 'FUTURE':
- F is the 6th letter.
- U is the 21st letter.
- T is the 20th letter.
- U is the 21st letter.
- R is the 18th letter.
- E is the 5th letter.
Let's sum these positions:
\(6 + 21 + 20 + 21 + 18 + 5\)
Sum = \(27 + 20 + 21 + 18 + 5\)
Sum = \(47 + 21 + 18 + 5\)
Sum = \(68 + 18 + 5\)
Sum = \(86 + 5\)
Sum = \(91\)
The sum of the alphabetical positions of the letters in 'FUTURE' is 91, which matches the given code.
Coding for 'MONEY'
Now let's do the same for 'MONEY':
- M is the 13th letter.
- O is the 15th letter.
- N is the 14th letter.
- E is the 5th letter.
- Y is the 25th letter.
Let's sum these positions:
\(13 + 15 + 14 + 5 + 25\)
Sum = \(28 + 14 + 5 + 25\)
Sum = \(42 + 5 + 25\)
Sum = \(47 + 25\)
Sum = \(72\)
The sum of the alphabetical positions of the letters in 'MONEY' is 72, which also matches the given code.
Identifying the Coding Rule
From the analysis of 'FUTURE' and 'MONEY', it is clear that the coding rule is to sum the alphabetical position of each letter in the word.
Coding Rule: Code of a word = Sum of the alphabetical positions of its letters.
Applying the Rule to 'SECURE'
Now we apply this rule to the word 'SECURE' to find its code.
- S is the 19th letter.
- E is the 5th letter.
- C is the 3rd letter.
- U is the 21st letter.
- R is the 18th letter.
- E is the 5th letter.
Sum the alphabetical positions:
\(19 + 5 + 3 + 21 + 18 + 5\)
Sum = \(24 + 3 + 21 + 18 + 5\)
Sum = \(27 + 21 + 18 + 5\)
Sum = \(48 + 18 + 5\)
Sum = \(66 + 5\)
Sum = \(71\)
The code for 'SECURE' is 71.
Conclusion
Based on the identified pattern, 'SECURE' is coded as 71.
| Word | Letters | Alphabetical Positions | Sum | Code |
|---|---|---|---|---|
| FUTURE | F, U, T, U, R, E | 6, 21, 20, 21, 18, 5 | \(6+21+20+21+18+5\) | 91 |
| MONEY | M, O, N, E, Y | 13, 15, 14, 5, 25 | \(13+15+14+5+25\) | 72 |
| SECURE | S, E, C, U, R, E | 19, 5, 3, 21, 18, 5 | \(19+5+3+21+18+5\) | 71 |
Revision Table: Key Concepts in Coding Language
| Concept | Description | Application in Problem |
|---|---|---|
| Alphabetical Position | Assigning a number to each letter based on its order in the alphabet (A=1, B=2, ...). | Used as the base value for each letter. |
| Summation | Adding up the values derived from each letter. | The final code is the sum of the positions. |
| Pattern Recognition | Identifying the rule or logic that connects the input (word) to the output (code). | Crucial step to decode the relationship between letters and numbers. |
Additional Information: Types of Letter Coding
Letter coding problems often use various patterns. Besides summing alphabetical positions, other common methods include:
- Reverse Alphabetical Position: Using Z=1, Y=2, ..., A=26.
- Letter Shifting: Replacing each letter with a letter a certain number of places away in the alphabet (e.g., A becomes D, B becomes E - a shift of +3).
- Opposite Letters: Pairing letters such that their positions sum to 27 (A is opposite Z, B is opposite Y, etc.).
- Consonant/Vowel Based: Applying different rules for consonants and vowels.
- Position within the Word: Using the position of the letter within the word itself in the coding logic.
Analyzing the examples carefully is key to identifying the specific pattern used in any given coding language problem.
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