← General Intelligence & Reasoning

Statement, Assumptions & Arguments

What an implicit assumption is and the negation test that settles it; assumptions in advertisements, notices, appeals and government statements; strong and weak arguments and the five things that make an argument weak; arguments that are relevant but trivial, or true but beside the point; the "both are strong" and "neither is strong" answers; how the same sentence can be an assumption in one question and an argument in another — with fully worked examples.

📑 Contents (5 sections)

Last reviewed 22 Sept 2026 · 5 min read

Implicit assumptions

An assumption is something the speaker takes for granted — not said, but necessary for the statement to make sense.

FormulaThe negation test

Negate the proposed assumption. If the statement now falls apart or becomes pointless, the assumption is implicit. If the statement still stands, it is not.

Examples of the test in use:

  • Statement: "Please switch off mobile phones during the film." Proposed assumption: people carry mobile phones. Negated: nobody carries a phone → the notice is pointless → implicit.
  • Same statement, proposed assumption: mobile phones are expensive. Negated: phones are cheap → the notice still makes sense → not implicit.

What is usually NOT an assumption

  • Anything the statement says outright — that is given, not assumed.
  • A conclusion drawn from it.
  • Something merely likely in the real world.
  • A comparison the statement never makes ("this is the best method").

Strong and weak arguments

An argument is strong when it is both relevant to the question asked and weighty — it addresses the real issue and would move a reasonable person.

Five things make an argument weak:

  1. Irrelevance — it answers a different question.
  2. Triviality — true but of small consequence.
  3. Ambiguity — vague, or a mere assertion with nothing behind it.
  4. Circularity — it assumes what it is meant to prove ("yes, because it should be done").
  5. Extremity — it rests on a far-fetched or emotional appeal.

An argument may be strong even if you disagree with its conclusion — strength is about relevance and weight, not about which side you favour.

Exam TipSimple examples are not weak

"Yes, because it will save lives" is short and simple, but on a road-safety question it is strong. Length is not weight.

The same sentence, two roles

Given "The state should make helmets compulsory":

  • As an assumption question, the point is what the speaker takes for granted — that helmets reduce injury, and that the state can enforce such a rule.
  • As an argument question, the point is whether a given reason for or against the proposal is relevant and weighty.

Read which of the two the paper is asking before evaluating anything.

Worked examples

Worked ExampleExample 1 — the negation test

Statement: "Buy our insurance policy and secure your family's future." Assumption: I. People are concerned about their family's future. II. Insurance is the only way to secure it.

Solution. Negate I: nobody cares about their family's future → the appeal collapses → implicit. Negate II: there are other ways → the appeal still works → not implicit. Only I is implicit.

Worked ExampleExample 2 — a notice

Statement: "Candidates should reach the centre by 9 a.m." — an examination notice. Assumption: I. Candidates can read the notice. II. Candidates will be refused entry after 9 a.m.

Solution. I is necessary for the notice to function → implicit. II is a guess about consequences → not implicit. Only I.

Worked ExampleExample 3 — stated, not assumed

Statement: "The new bridge has reduced travel time between the two towns by an hour." Assumption: Travel time between the towns has fallen.

Solution. That is stated, not assumed → not an implicit assumption.

Worked ExampleExample 4 — a strong argument

Question: Should helmets be made compulsory for two-wheeler riders? Argument: Yes — head injuries are the leading cause of death in two-wheeler accidents, and helmets reduce them substantially.

Solution. Relevant and weighty → strong.

Worked ExampleExample 5 — a weak argument

Same question. Argument: No — helmets spoil the rider's hairstyle.

Solution. Relevant to the rider's comfort but trivial next to the issue → weak.

Worked ExampleExample 6 — circular

Question: Should examinations be held online? Argument: Yes — because that is the modern way and everything should be modern.

Solution. An assertion with nothing behind it, assuming what it should prove → weak.

Worked ExampleExample 7 — both strong

Question: Should public transport fares be subsidised? Arguments: I. Yes — it puts travel within reach of low-income workers who have no alternative. II. No — subsidies strain the state budget and squeeze spending on health and schools.

Solution. Both are relevant and consequential → both are strong, though they point opposite ways.

Worked ExampleExample 8 — neither strong

Question: Should the school day start an hour later? Arguments: I. Yes — students like sleeping longer. II. No — schools have always started at the same time.

Solution. I is an appeal to preference; II is an appeal to tradition → neither is strong.

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