If 'PROJECT' is coded as 'CEOPRT' and 'PLANE' is coded as 'ELNP' then the 'ORGANISED' will be coded as :

Question

Accepted Answer

The correct option is 4:

This coding question is based on the concept of **rearrangement of letters within a word**. To solve this, we must first decipher the specific rule applied to the letters when transforming the original word into its code. We are given two examples:1.  **PROJECT** (7 letters) is coded as **CEOPRT** (6 letters).
2.  **PLANE** (5 letters) is coded as **ELNP** (4 letters).Upon close examination, we can observe two primary operations occurring simultaneously: **deletion** and **alphabetical arrangement**.  * **Step 1: Identify the Deleted Letter.**
    
      * In PROJECT (P, R, O, J, E, C, T), the coded word CEOPRT is missing one letter. If you check the letters that remain in the coded word (C, E, O, P, R, T), the missing letter is 'J'. The letter 'J' is a consonant.
      * In PLANE (P, L, A, N, E), the coded word ELNP is missing one letter. The letters that remain in the coded word (E, L, N, P) show the missing letter is 'A'. The letter 'A' is a vowel.
      * The consistent pattern observed is that the vowels from the original word are eliminated, except for 'E' and 'O' in the 'PROJECT' example. However, let's re-examine the letters in the coded words:
          * PROJECT: P, R, O, J, E, C, T. Coded: C, E, O, P, R, T. The letter 'J' is deleted.
          * PLANE: P, L, A, N, E. Coded: E, L, N, P. The letter 'A' is deleted.
    
    Let us consider a simpler and more consistent pattern: **All vowels (A, E, I, O, U) from the original word are removed, and all consonants (and remaining letters) are arranged in alphabetical order.**
    
    Let's re-test this hypothesis:
    
      * **PROJECT** (P, R, O, J, E, C, T):
          * Vowels: O, E.
          * Consonants/Remaining letters: P, R, J, C, T.
          * Alphabetical arrangement: C, J, P, R, T.
          * The code given is **CEOPRT**. This rule does not perfectly match.
    
    Let us try another hypothesis: **All repeating letters are removed, and the remaining letters are arranged alphabetically.** This also does not fit.
    
    Let's return to the most reliable pattern observed in common coding questions where the code is shorter than the original word: **All non-essential letters (usually vowels, or letters based on position) are dropped, and the remaining letters are re-arranged.**
    
      * **PROJECT** (P, R, O, J, E, C, T) -\> **CEOPRT**.
          * Letters present in both: P, R, O, E, C, T.
          * Letter dropped: **J** (The 4th letter).
          * Remaining letters: C, E, O, P, R, T. They are arranged in **alphabetical order**.
      * **PLANE** (P, L, A, N, E) -\> **ELNP**.
          * Letters present in both: P, L, N, E.
          * Letter dropped: **A** (The 3rd letter).
          * Remaining letters: E, L, N, P. They are arranged in **alphabetical order**.
    
    The consistent rule is: **One specific letter is dropped from the original word, and the remaining letters are arranged in alphabetical order.** Since the dropped letter is inconsistent (J in the first, A in the second), the most powerful commonality is the **alphabetical arrangement of the resulting letters.**

* **Step 2: Apply the Rule to ORGANISED.**
    
      * The word is ORGANISED (9 letters). We must drop one letter to match the options (which are 8 letters long), and then arrange the remaining 8 letters alphabetically.
      * ORGANISED contains the letters: O, R, G, A, N, I, S, E, D.
      * When we look at Option 4, **ADEGIORS**, the letters are: A, D, E, G, I, O, R, S. This list is in perfect alphabetical order.
      * Comparing the letters of ORGANISED with ADEGIORS, we find the letter that was dropped is **N**.
      * Remaining letters: A, D, E, G, I, O, R, S.
      * Arranged alphabetically: **ADEGIORS**.Therefore, the coding rule for ORGANISED is to drop the letter 'N' and arrange the remaining letters alphabetically. This gives us **ADEGIORS**.

The incorrect option is 1, 2, and 3:  * **The incorrect option is 1: ADEGIOSR.** This option contains the correct set of letters (A, D, E, G, I, O, S, R) but the letters are not arranged in strict alphabetical order. Specifically, 'S' comes before 'R', violating the alphabetical arrangement rule (A, D, E, G, I, O, R, S).

* **The incorrect option is 2: ADEGIROS.** This option is also formed by dropping one letter from ORGANISED (in this case, 'N' is dropped), but the remaining letters are incorrectly sequenced. The final two letters, 'O, S', are correct, but the sequence 'I, R' should be 'I, O, R, S' if the letters were reordered alphabetically, demonstrating a lack of understanding of the sorting principle.

* **The incorrect option is 3: ADEGOIRS.** This option is formed by dropping one letter from ORGANISED ('N' is dropped). Although the starting letters are alphabetically correct (A, D, E), the sequence jumps to 'G, O, I, R, S'. This disrupts the strict alphabetical order required, as 'I' must precede 'O' and 'G' must precede 'I'. The sequence incorrectly places 'O' before 'I'.