In a code language. OSTER is written as PTTDQ, and TORSE is written as UPRRD. How will STORE be written in that code language?
TUOQD
The question asks us to decipher a specific code language based on two examples and then apply that code to a new word. We are given that OSTER is written as PTTDQ and TORSE is written as UPRRD. We need to find how STORE will be written in this code language.
Let's look at the transformation from the original words to their coded forms:
Example 1: OSTER → PTTDQ
Example 2: TORSE → UPRRD
Let's examine the shift in the position of each letter in the alphabet for both examples. We can represent a shift of one position forward as +1 and one position backward as -1. No shift is +0.
| Original Word (OSTER) | Coded Word (PTTDQ) | Shift |
|---|---|---|
| O | P | \(+1\) |
| S | T | \(+1\) |
| T | T | \(+0\) |
| E | D | \(-1\) |
| R | Q | \(-1\) |
| Original Word (TORSE) | Coded Word (UPRRD) | Shift |
|---|---|---|
| T | U | \(+1\) |
| O | P | \(+1\) |
| R | R | \(+0\) |
| S | R | \(-1\) |
| E | D | \(-1\) |
By comparing the shifts for both words, we can see a consistent pattern based on the position of the letter in the word:
This pattern (\(+1, +1, +0, -1, -1\)) seems to be the rule for this specific code language.
Now, we apply the identified pattern (\(+1, +1, +0, -1, -1\)) to the word STORE.
| Original Word (STORE) | Position | Shift Pattern | Shift Calculation | Coded Letter |
|---|---|---|---|---|
| S | 1st | \(+1\) | S \(\rightarrow\) T | T |
| T | 2nd | \(+1\) | T \(\rightarrow\) U | U |
| O | 3rd | \(+0\) | O \(\rightarrow\) O | O |
| R | 4th | \(-1\) | R \(\rightarrow\) Q | Q |
| E | 5th | \(-1\) | E \(\rightarrow\) D | D |
Following the shifts, the word STORE is coded as TUOQD.
Based on the consistent coding pattern observed in the examples OSTER → PTTDQ and TORSE → UPRRD, applying the same pattern (\(+1, +1, +0, -1, -1\)) to the word STORE results in TUOQD.
| Position in Word | Shift in Alphabet | Examples Applied |
|---|---|---|
| 1st Letter | \(+1\) (One step forward) | O \(\rightarrow\) P, T \(\rightarrow\) U, S \(\rightarrow\) T |
| 2nd Letter | \(+1\) (One step forward) | S \(\rightarrow\) T, O \(\rightarrow\) P, T \(\rightarrow\) U |
| 3rd Letter | \(+0\) (No change) | T \(\rightarrow\) T, R \(\rightarrow\) R, O \(\rightarrow\) O |
| 4th Letter | \(-1\) (One step backward) | E \(\rightarrow\) D, S \(\rightarrow\) R, R \(\rightarrow\) Q |
| 5th Letter | \(-1\) (One step backward) | R \(\rightarrow\) Q, E \(\rightarrow\) D, E \(\rightarrow\) D |
Coding-decoding questions are common in logical reasoning sections of competitive exams. They test your ability to identify patterns and rules used to encrypt words or messages. Some common types of patterns include:
Solving these questions requires careful observation, comparison of given examples, and systematic testing of potential patterns. Writing down the letters and their corresponding coded letters, and noting the shifts, is often helpful.
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