Understanding Letter Analogy Patterns in Reasoning

Letter analogy questions test your ability to identify the relationship between a given pair of letters or groups of letters and apply that same relationship to another pair. In this question, we need to find the letters that relate to BDF in the same way that KMO relates to ACE.

Analyzing the First Pair: ACE and KMO

Let's look at the alphabetical positions of the letters in the first pair, ACE and KMO.

• A is the 1st letter.
• C is the 3rd letter.
• E is the 5th letter.

So, ACE corresponds to the positions 1, 3, 5.

Now let's look at KMO:

• K is the 11th letter.
• M is the 13th letter.
• O is the 15th letter.

So, KMO corresponds to the positions 11, 13, 15.

Identifying the Pattern

Let's find the difference in positions between the corresponding letters in ACE and KMO:

• From A (1st) to K (11th): $11 - 1 = 10$
• From C (3rd) to M (13th): $13 - 3 = 10$
• From E (5th) to O (15th): $15 - 5 = 10$

The pattern is consistent: each letter in KMO is 10 positions ahead of the corresponding letter in ACE in the alphabetical order.

Applying the Pattern to the Second Pair: BDF

Now, we apply the same pattern to the letters in BDF. First, find their alphabetical positions:

• B is the 2nd letter.
• D is the 4th letter.
• F is the 6th letter.

So, BDF corresponds to the positions 2, 4, 6.

Now, we add 10 to each of these positions to find the positions of the letters in the missing group:

• 2nd letter + 10 positions = 12th letter
• 4th letter + 10 positions = 14th letter
• 6th letter + 10 positions = 16th letter

Finding the Resulting Letters

The letters at the 12th, 14th, and 16th positions in the alphabet are:

• 12th letter is L.
• 14th letter is N.
• 16th letter is P.

So, the related letters are LNP.

Comparing with Options

Let's check which option matches our result LNP:

• Option 1: LNO (Positions 12, 14, 15) - Does not match LNP.
• Option 2: MPO (Positions 13, 16, 15) - Does not match LNP.
• Option 3: LNP (Positions 12, 14, 16) - Matches our result LNP.
• Option 4: NPQ (Positions 14, 16, 17) - Does not match LNP.

The letters LNP fit the pattern.

Letter Positions Table for Reference

Revision Table: Key Learnings from Letter Analogy

Additional Information: Types of Letter Analogies

Letter analogies can follow various patterns. Some common types include:

• Position Shift: Adding or subtracting a fixed number to the alphabetical position of letters (as seen in this problem).
• Skip Letter Pattern: Skipping a fixed number of letters between consecutive letters in a group or between corresponding letters in the pairs.
• Reverse Alphabetical Order: Using the alphabetical order in reverse (Z=1, Y=2, etc.).
• Vowel/Consonant Pattern: Relationships based on vowels and consonants.
• Combination of Patterns: Sometimes, a combination of these or other rules might be used.

To solve letter analogies, it is helpful to know the alphabetical positions of all letters and practice identifying different types of patterns.