Understanding the Coding Language Pattern

This question involves a coding language where words are assigned numerical values based on a specific rule or pattern. We are given that in a certain code language, the word GRAPES is written as 66. Our task is to determine the code for the word PRAISE in the same language by identifying and applying this pattern.

Decoding GRAPES = 66

To find the pattern, let's look at the letters in the word GRAPES and see if there's a relationship between them and the number 66. A common method in such coding problems is to use the alphabetical position of each letter. The alphabetical positions are A=1, B=2, C=3, and so on, up to Z=26.

Let's find the alphabetical position for each letter in GRAPES:

• G is the 7th letter.
• R is the 18th letter.
• A is the 1st letter.
• P is the 16th letter.
• E is the 5th letter.
• S is the 19th letter.

Now, let's try summing these positions:

\text{Sum} = \text{Position of G} + \text{Position of R} + \text{Position of A} + \text{Position of P} + \text{Position of E} + \text{Position of S}

\text{Sum} = 7 + 18 + 1 + 16 + 5 + 19

Let's perform the addition:

7 + 18 = 25

25 + 1 = 26

26 + 16 = 42

42 + 5 = 47

47 + 19 = 66

The sum of the alphabetical positions of the letters in GRAPES is 66, which matches the given code. So, the pattern is likely the sum of the alphabetical positions of the letters in the word.

Applying the Pattern to PRAISE

Now that we have identified the pattern, let's apply the same rule to the word PRAISE to find its coded value. We will find the alphabetical position for each letter in PRAISE and sum them up.

• P is the 16th letter.
• R is the 18th letter.
• A is the 1st letter.
• I is the 9th letter.
• S is the 19th letter.
• E is the 5th letter.

Now, let's sum these positions:

\text{Sum} = \text{Position of P} + \text{Position of R} + \text{Position of A} + \text{Position of I} + \text{Position of S} + \text{Position of E}

\text{Sum} = 16 + 18 + 1 + 9 + 19 + 5

Let's perform the addition:

16 + 18 = 34

34 + 1 = 35

35 + 9 = 44

44 + 19 = 63

63 + 5 = 68

The sum of the alphabetical positions of the letters in PRAISE is 68.

Conclusion

Based on the pattern derived from GRAPES being coded as 66 (sum of alphabetical positions), the word PRAISE is coded as 68.

Revision Table: Letter Positions

Additional Information on Letter Coding

Coding and decoding problems in reasoning often use various methods based on letter positions. Besides the sum of positions, other common patterns include:

• Sum of reverse alphabetical positions (Z=1, Y=2, ... A=26).
• Sum of squares or cubes of positions.
• Multiplying positions by a constant.
• Adding or subtracting a constant from the sum of positions.
• Using specific values for vowels or consonants.
• Adding the positions of the first and last letters, etc.

Always check for the simplest patterns first, like summing the standard or reverse alphabetical positions, before looking for more complex rules.