Solving the Letter Analogy: NEGI to MVTR

This type of question is a letter analogy, where the relationship between the first pair of letters (NEGI : MVTR) needs to be identified and then applied to the second word (SING) to find the missing part.

Let's analyze the relationship between the letters in NEGI and MVTR.

• N is the 14th letter of the alphabet. M is the 13th letter. (14 → 13)
• E is the 5th letter. V is the 22nd letter. (5 → 22)
• G is the 7th letter. T is the 20th letter. (7 → 20)
• I is the 9th letter. R is the 18th letter. (9 → 18)

Identifying the Letter Pattern

Let's look at the positions more closely:

• N (14) and M (13): $14 - 1 = 13$. This could be a simple subtraction.
• E (5) and V (22): $5 + 22 = 27$. This indicates they are complementary letters (letters equidistant from opposite ends of the alphabet).
• G (7) and T (20): $7 + 20 = 27$. Also complementary.
• I (9) and R (18): $9 + 18 = 27$. Also complementary.

The pattern seems to be that each letter in NEGI is replaced by its complementary letter in MVTR. Let's confirm this rule with the first letter.

• N (14): Complement is $27 - 14 = 13$, which is M. This works for the first letter too.

So, the clear rule is that each letter in the first word is replaced by its complementary letter to get the second word.

Applying the Letter Complement Pattern to SING

Now, we apply the same rule to the word SING. We need to find the complementary letter for each letter in SING.

To find the complementary letter, we use the rule: Position of Letter + Position of Complementary Letter = 27.

Let's find the complements for SING:

• S: S is the 19th letter. Complement is $27 - 19 = 8$. The 8th letter is H.
• I: I is the 9th letter. Complement is $27 - 9 = 18$. The 18th letter is R.
• N: N is the 14th letter. Complement is $27 - 14 = 13$. The 13th letter is M.
• G: G is the 7th letter. Complement is $27 - 7 = 20$. The 20th letter is T.

So, applying the complement rule to SING gives HRMT.

Therefore, SING : HRMT.

Verifying the Answer

We check the options provided to see if HRMT is present.

• Option 1: TRNS
• Option 2: TRNT
• Option 3: FRMT
• Option 4: HRMT

Our result, HRMT, matches Option 4.

Understanding Letter Complements

A letter complement is essentially its reflection across the center of the alphabet. A is complementary to Z, B to Y, C to X, and so on. Their positions always add up to 27.

Revision Table: Key Concepts for Letter Analogies

Additional Information on Logical Reasoning and Letter Patterns

Logical reasoning questions involving letter patterns are common in competitive exams. They test your ability to observe, identify rules, and apply them consistently. Beyond complementary letters, other common patterns include:

• Positional Shift: Adding or subtracting a fixed number to the letter's position (e.g., A+2=C).
• Skipping Letters: The pattern involves skipping a certain number of letters (e.g., A, D, G - skipping 2 letters each time).
• Reverse Order: Reading words backward or applying patterns in reverse.
• Vowel/Consonant Patterns: Rules might apply only to vowels or consonants.
• Combination of Rules: Different rules might apply to different letters or positions within the word.

Practicing various types of letter series and analogies helps you quickly spot the underlying pattern.