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The famous proverb states "the pen is mightier than the sword," meaning written communication and ideas are more powerful than military force. This idiom specifically uses the comparative form "mightier."

When comparing exactly two items, we use the comparative form. "More beautiful" correctly compares the dresses of two girls, while superlatives like "richest" would require comparing three or more items.

"Costlier" is the appropriate comparative adjective here, as pens can realistically be compared by price. Words like "younger" or "older" don't apply to inanimate objects like pens, and "cleverest" is a superlative, not a comparative form.

"Dearer" is the correct comparative form meaning "more valued or precious." In this context, honour means more to the person than life itself. Other options like "longer" or "mightier" don't make semantic sense for abstract concepts like honour and life.

When comparing one person to everyone in a group, we use the superlative form with "the" and "-est." "Cleverest" correctly identifies the boy with the highest intelligence among all classmates. "Sharper" is not a valid superlative form.

"Younger" is the correct comparative form to compare ages between two people - the uncle and the father. Words like "youngest" and "oldest" are superlatives used when comparing three or more people, which doesn't fit this two-person comparison.

"Richest" is the correct superlative form when comparing someone's wealth against everyone in the town. "Richer" would be comparative (for comparing two people), but the question asks about one person versus the entire town population.

The Eiffel Tower stands at 324 meters, while Qutub Minar is 72 meters tall. "Taller" correctly compares the heights of these two monuments. "Tallest" would be incorrect because we're only comparing two structures.

When comparing one person among a group of eleven, we use the superlative form. "Best" correctly identifies Balu as the superior bowler among all eleven players. "Better" would only work for comparing two players.

The sentence compares streets of two cities using 'than', so we need a comparative adjective. 'Broader' is the comparative form of 'broad' and correctly describes street width. 'Longest' and 'shortest' are superlatives (incorrect form), while 'costlier' and 'older' don't fit the context of describing street dimensions.

This compares two hill stations using 'than', requiring a comparative adjective. 'Cooler' is the correct comparative form describing temperature. 'Highest', 'best', and 'greatest' are superlatives (wrong form), while 'beautiful' isn't comparative.

In auction contexts, we say 'knocked down to the highest bidder' - meaning the person who bids the most money. This uses the superlative 'highest' because we're selecting one winner from all bidders. 'More beautiful' and 'cooler' don't fit the bidding context.

Mount Everest has the greatest elevation among Himalayan peaks, so we use the superlative 'highest'. The sentence structure uses 'the ____ peak' which indicates we need a superlative form. 'More beautiful' and 'cooler' don't describe height.

 'Good' is the correct answer. 'More beautifully' would also have been correct.