The True/False/Can't Tell Framework

True/False/Can't Tell (TFC) questions are the backbone of UCAT Verbal Reasoning. They appear in approximately half of the 44 questions, and they are where the most marks are gained and lost. This lesson establishes the precise logical framework you need to answer TFC questions consistently and accurately. Every subsequent lesson in this course builds upon the definitions and principles established here.

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The Logical Standard

The UCAT does not ask whether a statement is true in real life. It asks whether the statement follows from, contradicts, or cannot be determined from the passage. This is a fundamentally different question, and understanding this distinction is the single most important insight in VR preparation.

Formal Definitions

Answer	Logical Standard
True	The information in the passage entails the statement. The statement follows logically from what the passage says — either by direct statement or by necessary logical consequence.
False	The information in the passage contradicts the statement. The passage provides information that is logically incompatible with the statement.
Can't Tell	The information in the passage is insufficient to determine whether the statement is true or false. The passage neither entails nor contradicts the statement.

What This Means in Practice

Think of the passage as the only information in the universe. Nothing else exists — no textbooks, no common knowledge, no personal experience. Based solely on this passage:

• Does the statement have to be true? → True
• Does the statement have to be false? → False
• Could the statement be true or false — you simply cannot tell? → Can't Tell

Critical Insight: "Can't Tell" is not a statement about your personal uncertainty. It is a statement about the passage's completeness. If the passage does not contain enough information to answer the question, the answer is Can't Tell — even if you personally know the answer from other sources.

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The Decision Tree

Use this decision tree for every TFC question. With practice, it should become automatic — taking no more than 5–10 seconds.

Step 1: Read the Statement

Identify:

• The subject (what or who the statement is about)
• The claim (what is being asserted about the subject)
• Any qualifiers (all, some, most, never, always, may, definitely)
• Any specifics (numbers, dates, names)

Step 2: Locate the Relevant Information

Scan the passage for content related to the statement. If you cannot find any related content, the answer is almost certainly Can't Tell.

Step 3: Compare and Decide

What You Find	Decision
The passage says the same thing (or a valid paraphrase)	True
The passage says the opposite or something logically incompatible	False
The passage says something related but does not fully confirm or deny the statement	Can't Tell
The passage says nothing about the topic of the statement	Can't Tell

Step 4: Check Your Reasoning

Before confirming, ask:

• Am I using only the passage, or am I bringing in outside knowledge?
• Have I been precise about qualifiers (all vs some vs most)?
• Have I confused correlation with causation?
• Is this what the passage must mean, or what it might mean?

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The Three Answers Illustrated

True: The Spectrum of Support

A "True" answer does not require the passage to use the exact same words as the statement. The passage can support the statement in several ways:

Type of Support	Example
Direct statement	Passage: "The population of Wales is 3.1 million." Statement: "Wales has 3.1 million people."
Valid paraphrase	Passage: "Revenue increased by 20%." Statement: "Income rose by a fifth."
Logical consequence	Passage: "All students must pass the exam to graduate." Statement: "A student who fails the exam cannot graduate."
Numerical entailment	Passage: "The company has 5,000 employees." Statement: "The company has more than 4,000 employees."

False: The Spectrum of Contradiction

"False" requires the passage to contradict the statement — not merely fail to support it.

Type of Contradiction	Example
Direct contradiction	Passage: "The study was published in 2020." Statement: "The study was published in 2018."
Logical incompatibility	Passage: "All participants were over 65." Statement: "Some participants were in their twenties."
Negation	Passage: "The policy had no effect on employment." Statement: "The policy increased employment."
Scope contradiction	Passage: "Only three countries participated." Statement: "More than ten countries participated."

Can't Tell: The Spectrum of Insufficiency

"Can't Tell" covers a wide range — from topics not mentioned at all to topics partially addressed but with insufficient detail.

Type of Insufficiency	Example
Topic not addressed	Passage: discusses education policy. Statement: "The government increased military spending."
Related but insufficient	Passage: "The company's revenue grew by 15%." Statement: "The company's profits increased." (Revenue ≠ profit)
Plausible but unverifiable	Passage: "Most participants reported improvement." Statement: "The treatment was effective." ("Most reported improvement" is not the same as "was effective")
Generalisation beyond scope	Passage: "In the UK, 60% of adults support the policy." Statement: "Globally, most people support the policy."

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The Most Important Principle: "Can't Tell" Is Not a Weak Answer

Many candidates treat "Can't Tell" as a last resort — a answer to choose only when they are confused. This is wrong.

"Can't Tell" is often the correct answer. In a typical VR section, roughly one-third of TFC answers are "Can't Tell." If you are not selecting "Can't Tell" at least a quarter of the time, you are probably over-inferring.

Common Misconception	Reality
"I should choose Can't Tell only when I'm unsure"	Choose Can't Tell when the passage does not provide enough information — regardless of how sure you feel
"If it sounds true, it's probably True"	Many obviously-true-sounding statements are Can't Tell because the passage does not address them
"There should be equal numbers of True, False, and Can't Tell"	The distribution varies by section, but Can't Tell is typically well-represented

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Worked Example: Applying the Framework

Passage:

"The National Minimum Wage in the United Kingdom was introduced in April 1999 at a rate of £3.60 per hour for workers aged 22 and over. At the time, economists were divided over its likely effects: some predicted mass unemployment, arguing that employers would be unable to afford the higher wages, while others argued that the increase would stimulate consumer spending and benefit the economy. By 2005, the consensus among labour economists had shifted decisively: the minimum wage had not caused the predicted unemployment spike, and research from the Low Pay Commission suggested it had lifted earnings for approximately 1.5 million workers without significant job losses."

Statement 1: "The minimum wage was introduced at £3.60 per hour."

• Step 1: Subject = minimum wage. Claim = introduced at £3.60/hour.
• Step 2: Found in first sentence: "at a rate of £3.60 per hour."
• Step 3: Direct match.
• Answer: True.

Statement 2: "All economists initially opposed the minimum wage."

• Step 1: Subject = all economists. Claim = opposed the minimum wage.
• Step 2: Found: "economists were divided... some predicted mass unemployment... while others argued that the increase would stimulate consumer spending."
• Step 3: "Divided" and "while others argued [in favour]" contradicts "all... opposed."
• Answer: False.

Statement 3: "The minimum wage led to economic growth."

• Step 1: Subject = minimum wage. Claim = led to economic growth.
• Step 2: The passage says some economists predicted it would "stimulate consumer spending and benefit the economy." It also says it lifted earnings without significant job losses. But it does not say that economic growth actually occurred as a result.
• Step 3: The passage reports a prediction about economic benefit and evidence of earnings improvement — but "led to economic growth" is a specific macroeconomic claim not confirmed by the passage.
• Answer: Can't Tell.

Statement 4: "By 2005, most labour economists believed the minimum wage had not caused mass unemployment."

• Step 1: Subject = most labour economists by 2005. Claim = believed minimum wage had not caused mass unemployment.
• Step 2: Found: "By 2005, the consensus among labour economists had shifted decisively: the minimum wage had not caused the predicted unemployment spike."
• Step 3: "Consensus... shifted decisively" is stronger than "most believed" — if there was a decisive consensus, then most (indeed, the great majority) held this view.
• Answer: True.

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Summary

The TFC framework is built on a single principle: answer based solely on the passage. True means the passage entails the statement; False means the passage contradicts the statement; Can't Tell means the passage provides insufficient information. Use the four-step decision tree (read statement, locate information, compare and decide, check reasoning) for every question. "Can't Tell" is a frequent and valid answer — not a fallback. Mastery of this framework is the foundation for everything else in this course.