Understanding Letter Analogy Questions

This question is a letter analogy, which falls under verbal reasoning. In letter analogies, a specific relationship or pattern exists between the first pair of letters (AMG : WIC), and you need to identify this pattern and apply it to the third term (NZT) to find the missing fourth term.

To solve letter analogies, it's helpful to know the position of each letter in the English alphabet. We can number the letters from 1 (A) to 26 (Z).

Analyzing the Pattern: AMG to WIC

Let's look at the position of each letter in the alphabet for the first pair:

Now let's find the relationship between the corresponding letters:

• First letter: A (1) to W (23). The difference is \(23 - 1 = 22\). Alternatively, moving backwards from A, 4 steps would be A → Z → Y → X → W. This is a shift of \(-4\) positions (wrapping around the alphabet). \(1 - 4 = -3\), which is \(26 - 3 = 23\) in alphabet position.
• Second letter: M (13) to I (9). The difference is \(9 - 13 = -4\). This is a shift of \(-4\) positions.
• Third letter: G (7) to C (3). The difference is \(3 - 7 = -4\). This is a shift of \(-4\) positions.

The consistent pattern observed is subtracting 4 from the alphabetical position of each letter. For the first letter, this involves wrapping around from A to Z.

Applying the Pattern to NZT

Now, let's apply the same \(-4\) shift pattern to the letters in NZT.

First, find the positions of the letters in NZT:

• N is the \(14\)th letter.
• Z is the \(26\)th letter.
• T is the \(20\)th letter.

Apply the \(-4\) shift to each position:

• For N (14): \(14 - 4 = 10\). The \(10\)th letter is J.
• For Z (26): \(26 - 4 = 22\). The \(22\)nd letter is V.
• For T (20): \(20 - 4 = 16\). The \(16\)th letter is P.

The resulting letters are JVP.

Comparing with Options

Let's compare our result (JVP) with the given options:

• Option 1: JVP - This matches our calculated result.
• Option 2: MOP - Does not match.
• Option 3: JVS - The last letter S does not match P.
• Option 4: JKR - Does not match.

Therefore, the correct alternative is JVP.

Additional Information on Letter Analogy Reasoning

Letter analogy problems test your ability to find patterns in sequences of letters. Common patterns include:

• Position Shift: Each letter is shifted by a fixed number of positions forward or backward in the alphabet (as seen in this problem).
• Reverse Order: Letters might be in reverse alphabetical order within a word.
• Skipping Letters: Letters might follow a pattern of skipping a fixed number of letters (e.g., A, C, E...).
• Vowel/Consonant Patterns: The pattern might relate to vowels and consonants.
• Reverse Alphabetical Order: A is related to Z, B to Y, and so on (A=1st from start, Z=1st from end).
• Combination of Patterns: Sometimes, different patterns are applied to different letters within the same set.

Practicing with different types of letter analogy and letter series questions helps improve your logical reasoning and problem-solving skills for competitive exams.