Decoding the AUTHENTIC Word Puzzle
This question involves a substitution cipher where letters map to numbers. We need to find the rule based on the given examples (A=26, T=7) and apply it to the word AUTHENTIC.
Identifying the Cipher Rule
We are given the following mappings:
- A = 26
- T = 7
The standard alphabetical positions are A=1 and T=20.
Since the first letter A (position 1) is assigned the value 26, this suggests a reverse alphabetical order mapping (Z=1, Y=2, ..., B=25, A=26). We can verify this rule using the second given mapping, T=7.
The standard position of T is 20. The reverse position is calculated using the formula: Reversed Position = $27 - \text{Standard Position}$.
For T, the calculation is: $27 - 20 = 7$. This matches the given value T = 7.
Thus, the cipher rule used is the reversed alphabetical position for each letter.
Applying the Rule to AUTHENTIC
Now, we apply this rule to find the numerical code for each letter in the word AUTHENTIC:
| Letter | Standard Position | Reversed Position | Numerical Code |
|---|---|---|---|
| A | 1 | $27 - 1 = 26$ | 26 |
| U | 21 | $27 - 21 = 6$ | 6 |
| T | 20 | $27 - 20 = 7$ | 7 |
| H | 8 | $27 - 8 = 19$ | 19 |
| E | 5 | $27 - 5 = 22$ | 22 |
| N | 14 | $27 - 14 = 13$ | 13 |
| T | 20 | $27 - 20 = 7$ | 7 |
| I | 9 | $27 - 9 = 18$ | 18 |
| C | 3 | $27 - 3 = 24$ | 24 |
Constructing the Final Code
Concatenate the numerical codes for each letter in the order they appear in AUTHENTIC:
26, 6, 7, 19, 22, 13, 7, 18, 24
The resulting numerical code for AUTHENTIC is 266719221371824.
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In a code language, INDICATOR is written as JOEJBCVQT. How will EMOTIONAL be written in that language?
There are two rows, each containing 3 numbers. Below are some rules to be used to get the resultant number for each row separately. Use the rule from left to right for each row and find the answer to the question.
Rule:
1. If an even number is followed by an even number, then the first number will be subtracted from the second.
2. If an odd number is followed by an odd number, then both will be added.
3. If an odd number is followed by an even number, then the even number will be subtracted from the square of the odd number.
4. If an even number is followed by an odd number, then the odd number will be subtracted from the even number.
Row I: 9,11, 34
Row II: 16, 9, 8
What is the difference between the resultant numbers in the first row and the second row
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