Finding the Pattern in Letter Group Analogy: DHM to GCX

This question asks us to find the relationship between two letter groups, DHM and GCX, and then apply that same relationship to a third letter group, KOT, to find the missing fourth group. This type of problem is known as a letter-group analogy.

Let's analyze the relationship between the letters in the first pair, DHM and GCX. We can look at the position of each letter in the English alphabet (A=1, B=2, ..., Z=26).

• First letters: D and G
• D is the 4th letter.
• G is the 7th letter.
• The shift from D to G is \(7 - 4 = +3\) positions.

• Second letters: H and C
• H is the 8th letter.
• C is the 3rd letter.
• The shift from H to C is \(3 - 8 = -5\) positions (moving backwards in the alphabet, or 5 steps back).

• Third letters: M and X
• M is the 13th letter.
• X is the 24th letter.
• The shift from M to X is \(24 - 13 = +11\) positions.

So, the pattern relating DHM to GCX is a letter shift of +3 for the first letter, -5 for the second letter, and +11 for the third letter.

Applying the Letter Shift Pattern to KOT

Now, we apply this same pattern (+3, -5, +11) to the letter group KOT to find the corresponding fourth letter group.

• First letter (K):
• K is the 11th letter.
• Apply the +3 shift: \(11 + 3 = 14\).
• The 14th letter is N.

• Second letter (O):
• O is the 15th letter.
• Apply the -5 shift: \(15 - 5 = 10\).
• The 10th letter is J.

• Third letter (T):
• T is the 20th letter.
• Apply the +11 shift: \(20 + 11 = 31\).
• Since there are only 26 letters in the alphabet, we wrap around. \(31 - 26 = 5\).
• The 5th letter is E.

Applying the pattern to KOT results in the letter group NJE.

Confirming the Result with Options

Let's compare our result, NJE, with the given options:

1. NJE
2. NHD
3. NIE
4. NKL

Our calculated letter group, NJE, matches the first option.

Summary of the Letter Group Analogy Solution

The analogy DHM : GCX follows a pattern of shifting each letter by a specific number of positions in the alphabet (+3, -5, +11). Applying this exact pattern to KOT gives us NJE.

Revision Table: Understanding Letter Analogy

Letter analogy questions test your ability to identify patterns based on letter positions or sequences in the alphabet. Key aspects to consider include:

• Positional shifts (forward or backward).
• Skipping letters.
• Reversing the order.
• Patterns involving vowels and consonants.

Additional Information: Solving Letter Series and Analogy Problems

To excel in letter series and analogy problems, practicing with the alphabet and its positions is crucial. Writing down the alphabet and its corresponding numbers (A=1, B=2, etc.) can be very helpful during exams. Look for consistent patterns across all elements of the given pairs.