In a certain code language, 'GOLF' is coded as '44' and 'BALL' is coded as '31'. How will 'PLAY' be coded in that language?
58
This question asks us to decipher a specific coding language based on two given examples and then apply that logic to code a new word. We are given that 'GOLF' is coded as '44' and 'BALL' is coded as '31'. We need to find the code for 'PLAY'.
Let's examine the words and their corresponding codes:
Coding language puzzles often involve the alphabetical positions of letters, summing these positions, or applying some mathematical operation.
Let's find the alphabetical position of each letter in 'GOLF':
Let's sum these positions:
\$ 7 + 15 + 12 + 6 = 40 \$
The code given for 'GOLF' is 44. The sum of the positions is 40. The difference is \$ 44 - 40 = 4 \$. This suggests a possible pattern might involve summing the positions and adding 4.
Let's test this hypothesis with the second example, 'BALL'. Find the alphabetical position of each letter:
Sum these positions:
\$ 2 + 1 + 12 + 12 = 27 \$
The code given for 'BALL' is 31. If we apply the suspected pattern (sum of positions + 4):
\$ 27 + 4 = 31 \$
This matches the given code for 'BALL'. So, the pattern in this coding language appears to be: Sum of the alphabetical positions of the letters + 4.
Now we can apply this pattern to the word 'PLAY' to find its code.
First, find the alphabetical position of each letter in 'PLAY':
Next, sum these positions:
\$ 16 + 12 + 1 + 25 = 54 \$
Finally, apply the coding rule: sum the positions and add 4.
\$ 54 + 4 = 58 \$
Therefore, 'PLAY' is coded as 58 in this language.
| Word | Letters | Alphabetical Positions | Sum of Positions | Code (Sum + 4) |
|---|---|---|---|---|
| GOLF | G, O, L, F | 7, 15, 12, 6 | \$ 7+15+12+6 = 40 \$ | \$ 40+4 = 44 \$ (Given) |
| BALL | B, A, L, L | 2, 1, 12, 12 | \$ 2+1+12+12 = 27 \$ | \$ 27+4 = 31 \$ (Given) |
| PLAY | P, L, A, Y | 16, 12, 1, 25 | \$ 16+12+1+25 = 54 \$ | \$ 54+4 = 58 \$ (Calculated) |
The calculated code for 'PLAY' is 58.
By analyzing the given examples, we found that the coding language works by summing the alphabetical positions of the letters in a word and adding 4 to that sum. Applying this rule to the word 'PLAY' gives us a code of 58.
| Concept | Explanation |
|---|---|
| Alphabetical Position | The numerical order of a letter in the English alphabet (A=1, B=2, ..., Z=26). |
| Pattern Recognition | Identifying a consistent rule or method used in the given examples. |
| Application | Using the identified pattern to solve for the unknown case. |
Coding language questions in reasoning often follow various patterns. Some common types include:
Solving these questions requires careful observation of the examples to identify the underlying logic or pattern.
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