In a certain code language, 'FRISK' is written as '315' and 'DOUBLE' is written as '354'. How will 'TENT' be written in that code language?
236
This problem involves a coding language where words are converted into numbers. We are given two examples of this conversion and need to apply the same logic to a new word. To solve this, we first need to identify the specific rule or pattern used in the given examples.
Let's look at the provided examples:
We need to find a relationship between the letters in the words and the resulting numbers.
Let's consider the alphabetical position of each letter in the word 'FRISK'.
| Letter | Alphabetical Position |
|---|---|
| F | 6 |
| R | 18 |
| I | 9 |
| S | 19 |
| K | 11 |
Let's sum the alphabetical positions:
\(\text{Sum of positions for FRISK} = 6 + 18 + 9 + 19 + 11\)
\(\text{Sum} = 63\)
The coded number for FRISK is 315. The number of letters in FRISK is 5.
Let's try multiplying the sum of positions by the number of letters:
\(63 \times 5 = 315\)
This matches the coded value for FRISK.
Let's apply the same logic to the word 'DOUBLE'.
| Letter | Alphabetical Position |
|---|---|
| D | 4 |
| O | 15 |
| U | 21 |
| B | 2 |
| L | 12 |
| E | 5 |
Let's sum the alphabetical positions:
\(\text{Sum of positions for DOUBLE} = 4 + 15 + 21 + 2 + 12 + 5\)
\(\text{Sum} = 59\)
The number of letters in DOUBLE is 6.
Let's apply the rule (Sum of positions \(\times\) Number of letters):
\(59 \times 6 = 354\)
This also matches the coded value for DOUBLE. The pattern seems consistent.
Now, we will apply the established rule to the word 'TENT'.
First, find the alphabetical position of each letter in 'TENT'.
| Letter | Alphabetical Position |
|---|---|
| T | 20 |
| E | 5 |
| N | 14 |
| T | 20 |
Next, sum the alphabetical positions:
\(\text{Sum of positions for TENT} = 20 + 5 + 14 + 20\)
\(\text{Sum} = 59\)
The number of letters in TENT is 4.
Finally, apply the rule (Sum of positions \(\times\) Number of letters):
\(\text{Coded value for TENT} = 59 \times 4\)
\(59 \times 4 = 236\)
So, 'TENT' will be written as '236' in this code language.
Based on the coding pattern observed in 'FRISK' and 'DOUBLE', the word 'TENT' is coded as 236.
| Word | Sum of Alphabetical Positions | Number of Letters | Calculated Code (Sum \(\times\) Letters) | Given Code |
|---|---|---|---|---|
| FRISK | 63 | 5 | \(63 \times 5 = 315\) | 315 |
| DOUBLE | 59 | 6 | \(59 \times 6 = 354\) | 354 |
| TENT | 59 | 4 | \(59 \times 4 = 236\) | ? |
Coding-decoding questions are common in logical reasoning tests. They assess your ability to identify patterns and rules. Some common patterns include:
Solving these questions requires careful observation, pattern recognition, and systematic testing of potential rules.
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