Question

In this question, a group of letters is coded using numbers as per the table given below and the conditions which follow. The correct combination of codes following the conditions is your answer.

• Letter/Symbol: I | L | M | H | Y | O | C | E | R

• Code: 4 | 5 | 9 | 1 | 2 | 3 | 6 | 7 | 8

Conditions:

• (i) If the first element is a vowel and the last, a consonant, the codes for these two (the first and the last elements) are to be interchanged.

• (ii) If the first element is a consonant and the last, an vowel, the first and last elements are to be coded as 0.

• (iii) If both the second and the fifth elements are vowels, the fifth element is to be coded as the code for the second element and vice-versa.

Question:

EICHER

• A. 814767
• B. 876417
• C. 877416
• D. 876147

Answer 1

Answer:

D. 876147

The correct code combination for EICHER is 8 76 1 4 7.

1. Find the Base Codes from the Table:
   Let's find the direct numerical code for each letter in the word E I C H E R:

   • E $\rightarrow$ 7

   • I $\rightarrow$ 4

   • C $\rightarrow$ 6

   • H $\rightarrow$ 1

   • E $\rightarrow$ 7

   • R $\rightarrow$ 8

   Base Code Sequence: 7 4 6 1 7 8

2. Check the Conditions:

   • Condition (i): The first element (E) is a vowel and the last element (R) is a consonant. This condition applies, which means the codes for the first and last elements must be interchanged (7 and 8 swap places).

   • Condition (ii): The first element is a vowel, not a consonant, so this does not apply.

   • Condition (iii): The second element (I) is a vowel and the fifth element (E) is also a vowel. This condition applies, which means the fifth element is to be coded as the code for the second element and vice-versa. Since both letters (I and E) swap their respective values (4 and 7), the middle positions shift accordingly.

3. Apply the Changes:

   • Interchanging the first and last codes (Condition i): Transforms 7 4 6 1 7 8 into 8 4 6 1 7 7.

   • Interchanging the second and fifth codes (Condition iii): In the sequence 8 4 6 1 7 7, the second code is 4 and the fifth code is 7. Swapping them transforms 8 4 6 1 7 7 into 8 7 6 1 4 7.