This question asks us to find the relationship between the first pair of words and apply the same relationship to the third word to find the fourth word. This type of problem is called a word analogy or letter arrangement problem.

Understanding the Letter Arrangement Pattern: FASTER to AEFRST

Let's look closely at the first pair of words: FASTER and AEFRST.

The letters in the word FASTER are F, A, S, T, E, R.

The letters in the word AEFRST are A, E, F, R, S, T.

We can observe that the word AEFRST contains exactly the same letters as the word FASTER. The letters have simply been rearranged.

Let's try arranging the letters of FASTER in alphabetical order to see if there is a match:

• A
• E
• F
• R
• S
• T

When arranged alphabetically, the letters of FASTER form the sequence A, E, F, R, S, T. This matches the word AEFRST exactly.

So, the relationship is that the second word is formed by arranging the letters of the first word in alphabetical order.

Applying the Alphabetical Order Logic to KINGDOM

Now, we apply the same letter arrangement rule to the third word, KINGDOM.

The letters in the word KINGDOM are K, I, N, G, D, O, M.

We need to arrange these letters in alphabetical order.

Let's list the letters and sort them:

• D
• G
• I
• K
• M
• N
• O

Arranging the letters D, G, I, K, M, N, O in sequence gives us the word DGIKMNO.

Determining the Correct Analogy Term

Based on the pattern identified (arranging letters alphabetically), the term that relates to KINGDOM in the same way that AEFRST relates to FASTER is DGIKMNO.

Let's quickly review the options provided:

Option 4, DGIKMNO, matches the word we derived by applying the alphabetical ordering rule to the letters of KINGDOM.

Revision Table: Letter Arrangement and Analogy

Additional Information: Types of Verbal Analogies and Letter Puzzles

Verbal analogies and letter arrangement problems are common in reasoning tests. They assess your ability to identify patterns and relationships. Some common types include:

• Synonym/Antonym: Words with similar or opposite meanings (e.g., HAPPY : SAD :: BIG : SMALL).
• Part to Whole: One word is a part of the other (e.g., FINGER : HAND :: TOE : FOOT).
• Cause and Effect: One word causes the other (e.g., RAIN : FLOOD :: SUN : DROUGHT).
• Worker and Tool: A person and the tool they use (e.g., CARPENTER : HAMMER :: DOCTOR : STETHOSCOPE).
• Letter/Word Manipulation: Rearranging letters, skipping letters, or other patterns based on the structure of the words themselves, as seen in this problem (e.g., arranging letters alphabetically, reversing letters).

Solving these problems often involves breaking down the first pair to understand the rule and then applying that rule consistently to the second pair.