Understanding Word Analogies: Mouse to Museums, Worst to Sorrows

Word analogies test your ability to find a relationship between a pair of words and apply the same relationship to another pair. In this analogy, we need to find the word that has the same relationship with "Worst" as "Museums" has with "Mouse".

Analyzing the Relationship between Mouse and Museums

Let's look at the letters present in both words and count their occurrences:

Mouse:

• M: 1
• O: 1
• U: 1
• S: 1
• E: 1

Museums:

• M: 2
• U: 2
• S: 2
• E: 1

Now, let's compare the counts to see how the letters changed from "Mouse" to "Museums":

• The letter 'M' increased from 1 to 2 (added one M).
• The letter 'O' decreased from 1 to 0 (dropped one O).
• The letter 'U' increased from 1 to 2 (added one U).
• The letter 'S' increased from 1 to 2 (added one S).
• The letter 'E' stayed the same (1 to 1).

The pattern here is: One letter from "Mouse" ('O') is dropped, and the count of three other letters from "Mouse" ('M', 'U', 'S') is increased by one. The resulting letters are then rearranged to form "Museums".

Applying the Pattern to Worst and Finding the Related Word

Now we apply the same pattern to the word "Worst". The letters in "Worst" are:

• W: 1
• O: 1
• R: 1
• S: 1
• T: 1

Following the pattern from the first pair, we need to drop one letter from "Worst" and increase the count of three other letters from "Worst" by one. Let's look at the option "Sorrows". The letters in "Sorrows" are:

• S: 2
• O: 2
• R: 2
• W: 1

Let's compare the letters and counts in "Worst" and "Sorrows":

• The letter 'W' stayed the same (1 to 1).
• The letter 'O' increased from 1 to 2 (added one O).
• The letter 'R' increased from 1 to 2 (added one R).
• The letter 'S' increased from 1 to 2 (added one S).
• The letter 'T' decreased from 1 to 0 (dropped one T).

This matches the pattern: One letter from "Worst" ('T') is dropped, and the count of three other letters from "Worst" ('O', 'R', 'S') is increased by one. The resulting letters are W(1), O(2), R(2), S(2), which can be rearranged to form S O R R O W S (Sorrows).

Checking Other Options Against the Pattern

Let's quickly check the other options:

• Rotor: Letters are R(2), O(2), T(1). Comparing with Worst (W1 O1 R1 S1 T1): Dropped W, S. Increased O, R. Does not fit the pattern of dropping one and increasing three.
• Row: Letters are R(1), O(1), W(1). Comparing with Worst (W1 O1 R1 S1 T1): Dropped S, T. Counts of W, O, R same. Does not fit the pattern.
• Root: Letters are R(1), O(2), T(1). Comparing with Worst (W1 O1 R1 S1 T1): Dropped W, S. Increased O. Does not fit the pattern.

Only "Sorrows" follows the specific letter manipulation pattern observed between "Mouse" and "Museums".