One-Word Substitution for a Difficult Problem

The question asks for a single word that can replace the phrase "A problem that is so difficult that it cannot be answered". This is a common type of vocabulary question known as one-word substitution.

Analyzing the Given Phrase: "A problem that is so difficult that it cannot be answered"

The core meaning of this phrase is about something that is impossible to solve or find a solution to. The difficulty is so extreme that a resolution is unattainable.

Evaluating the Options for One-Word Substitution

Let's examine each provided option to determine which one best fits the meaning of the given phrase:

• Impossible: This word means not able to occur, exist, or be done. While a problem that cannot be answered might seem impossible, 'impossible' is a very general term. It can apply to actions (an impossible task) or events (an impossible coincidence), not just problems that need answering. The phrase specifically refers to the nature of a problem's solvability.
• Insolvable: This word means impossible to solve or settle. The prefix 'in-' means 'not', and 'solvable' means 'able to be solved'. Therefore, 'insolvable' directly translates to 'not solvable'. This aligns perfectly with the meaning of "A problem that is so difficult that it cannot be answered".
• Terrible: This word means extremely bad or serious. A difficult problem might be terrible, but the word 'terrible' describes its severity or impact, not whether it can be solved or not. A terrible problem could potentially be solvable.
• Solvable: This word means able to be solved or explained. This is the opposite of what the given phrase describes (a problem that *cannot* be answered).

Comparison of Options

Let's compare the options based on how well they match the specific meaning of the phrase:

Conclusion on the Correct One-Word Substitute

Based on the analysis, the word 'Insolvable' is the most accurate and precise one-word substitute for the phrase "A problem that is so difficult that it cannot be answered". It specifically describes a problem that is beyond the possibility of finding an answer or solution.

Revision Table: Key Vocabulary

Additional Information: Understanding 'Insolvable' and Related Concepts

The word 'insolvable' is formed using the common English prefix 'in-', which often indicates negation or the opposite of the root word. In this case, 'in-' is added to 'solvable'.

• Prefix 'in-': Means 'not', 'without', or 'the opposite of'. Examples: invisible (not visible), incomplete (not complete), inability (lack of ability).
• Root word 'solve': To find an answer to, explanation for, or means of effectively dealing with (a problem or mystery).
• Suffix '-able': Means 'able to be' or 'capable of being'. Examples: readable (able to be read), understandable (able to be understood).

So, 'in-solv-able' literally means 'not able to be solved'. This confirms its suitability as the one-word substitute for a problem that cannot be answered.

Understanding prefixes and suffixes can greatly help in determining the meaning of new words, especially in vocabulary and one-word substitution questions.