In a certain code, UNHAPPY is written as PPYAHNU. How will FALLACY be written in that code?
ACYLLAF
This question asks us to decipher a specific code used to transform a word and then apply that same code to a new word. We are given that the word UNHAPPY is coded as PPYAHNU. Our goal is to find the code for the word FALLACY using the same rule.
Let's look at the word UNHAPPY and its coded form PPYAHNU. Both words have 7 letters.
Original word: UNHAPPY
Coded word: PPYAHNU
To find the pattern, let's examine the positions of the letters in the original word and see where they appear in the coded word. We can number the positions of the letters from 1 to 7 for both words.
| Original Word | U | N | H | A | P | P | Y |
|---|---|---|---|---|---|---|---|
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Coded Word | P | P | Y | A | H | N | U |
|---|---|---|---|---|---|---|---|
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Now let's see which letter from the original position moves to which coded position:
So, the coded word is formed by taking the letters from the original word in a specific order of their original positions.
The order of original positions used to form the coded word is: 5th, 6th, 7th, 4th, 3rd, 2nd, 1st.
Let's verify this rule with UNHAPPY:
Putting these letters together in this order gives PPYAHNU, which matches the given coded word. The rule is correct.
Now we apply the same rule to the word FALLACY. FALLACY also has 7 letters.
| Original Word | F | A | L | L | A | C | Y |
|---|---|---|---|---|---|---|---|
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Using the rule (take letters from original positions 5, 6, 7, 4, 3, 2, 1):
Arranging these letters in order gives: ACYLLAF.
So, the word FALLACY is coded as ACYLLAF.
Let's check the given options:
Our derived coded word, ACYLLAF, matches Option 2.
The code transforms a 7-letter word by rearranging its letters. The letters from original positions 5, 6, 7, 4, 3, 2, 1 form the coded word in that sequence. Applying this pattern to FALLACY results in ACYLLAF.
| Original Word | Positions | Letters |
|---|---|---|
| UNHAPPY | 1 2 3 4 5 6 7 | U N H A P P Y |
| Coded Word | Rule (Original Position Order) | Letters |
|---|---|---|
| PPYAHNU | 5 6 7 4 3 2 1 | P P Y A H N U |
| Word to Code | Positions | Letters |
|---|---|---|
| FALLACY | 1 2 3 4 5 6 7 | F A L L A C Y |
| Coded Word | Rule (Original Position Order) | Letters |
|---|---|---|
| ACYLLAF | 5 6 7 4 3 2 1 | A C Y L L A F |
Coding and decoding questions are common in competitive exams and test your logical reasoning and pattern recognition skills. There are various types of letter coding patterns, including:
Analyzing the positions of letters and looking for rearrangement patterns is key to solving position-based coding problems like this one.
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