Earnest : Solemn Word Relationship Analysis

The initial pair of words is Earnest and Solemn. Let's analyze their relationship.

• Earnest means showing sincere and intense conviction. It implies a serious and deeply felt state.
• Solemn means formal and dignified; or not cheerful or smiling; serious. It also implies a lack of lightness or humor.

The relationship between Earnest and Solemn is primarily one of synonymy. Both words describe a state of seriousness, sincerity, and deep feeling. They are closely related in meaning, often interchangeable in contexts where seriousness is emphasized.

Analyzing Option Relationships

Now, let's examine the relationship between the words in each option to find the one that matches the Earnest : Solemn relationship.

Option 1: Radiant : Gloomy

• Radiant means shining or glowing brightly; emanating great joy or health.
• Gloomy means dark or poorly lit; depressed or despondent.

The relationship here is one of antonymy (opposites). This does not match the synonym relationship of the given pair.

Option 2: Lethargy : Vivacity

• Lethargy means a lack of energy and enthusiasm; sluggishness.
• Vivacity means liveliness and animation; attractiveness.

This pair also shows an antonymy relationship (lack of energy vs. high energy). This does not match.

Option 3: Fascinate : Enchant

• Fascinate means to attract and hold someone's interest intensely.
• Enchant means to delight greatly; to charm; to cast a spell on.

The relationship between Fascinate and Enchant is one of synonymy. Both words describe holding someone's attention or interest in a captivating or charming way. This closely mirrors the synonym relationship found in Earnest : Solemn.

Option 4: Lament : Praise

• Lament means to express deep grief, sorrow, or regret.
• Praise means to express approval or admiration.

This pair represents an antonymy relationship (expressing sorrow vs. expressing approval). This does not match.

Conclusion on Word Analogy

By comparing the relationships, we find that the synonymy shared between Fascinate and Enchant is the same as the synonymy shared between Earnest and Solemn. Therefore, option 3 is the correct choice as it maintains the same type of word relationship.