Rule Detection— Concepts, Formulas & Shortcuts
- The rule must hold for EVERY figure, with no exceptions.
- One counter-example is enough to eliminate a candidate rule.
- Common rules: all figures are closed, all have an even number of sides, all contain a curve.
- Beware of rules true of most figures but not all — the standard distractor.
- Test the most restrictive rule first; it is fastest to falsify.
- A rule about a property no figure has is vacuous, not correct.
Rule Detection Practice Questions with Answers
Attempt each question first, then open the explanation. All 8 questions below are free to read and require no signup.
Q1.In rule detection, a valid rule must hold for:
Easy- AMost figures
- BEvery figure in the set
- CThe first figure only
- DHalf the figures
Rule Detection question 1 of 8+Show Answer & Explanation
Answer: B. Every figure in the set
Explanation: The rule is meant to characterise the whole group, so a single exception invalidates it.
Q2.A single figure that violates a candidate rule means the rule is:
Easy- AStill valid
- BInvalid
- CPartially valid
- DValid for the rest
Rule Detection question 2 of 8+Show Answer & Explanation
Answer: B. Invalid
Explanation: Universal rules admit no exceptions.
Q3.Which rule would be satisfied by a triangle, a square and a pentagon?
Easy- AAll contain a curve
- BAll are closed rectilinear figures
- CAll have four sides
- DAll are shaded
Rule Detection question 3 of 8+Show Answer & Explanation
Answer: B. All are closed rectilinear figures
Explanation: All three are closed shapes made entirely of straight lines.
Q4.Which rule fits a circle, an ellipse and a semicircle?
Easy- AAll are polygons
- BAll contain at least one curve
- CAll have vertices
- DAll have equal sides
Rule Detection question 4 of 8+Show Answer & Explanation
Answer: B. All contain at least one curve
Explanation: Each figure includes a curved boundary, and none is a polygon.
Q5.A rule that is true of three out of four figures is:
Moderate- AThe correct rule
- BNot the correct rule
- CCorrect if the fourth is small
- DCorrect by majority
Rule Detection question 5 of 8+Show Answer & Explanation
Answer: B. Not the correct rule
Explanation: Rule detection requires universality, not a majority.
Q6.Which rule fits a square, a rectangle and a rhombus?
Moderate- AAll have four sides
- BAll have equal sides
- CAll have right angles
- DAll contain curves
Rule Detection question 6 of 8+Show Answer & Explanation
Answer: A. All have four sides
Explanation: All three are quadrilaterals, though they differ in side lengths and angles.
Q7.Testing the most restrictive rule first is efficient because it:
Moderate- AIs always correct
- BIs fastest to falsify
- CTakes longest
- DApplies to one figure
Rule Detection question 7 of 8+Show Answer & Explanation
Answer: B. Is fastest to falsify
Explanation: A narrow rule is broken by more figures, so it is disproved quickly if wrong.
Q8.A rule describing a property that NO figure in the set has is:
Moderate- ACorrect
- BIncorrect
- CVacuously true
- DThe best answer
Rule Detection question 8 of 8+Show Answer & Explanation
Answer: B. Incorrect
Explanation: The rule is supposed to describe the set, so a property none of them has cannot be the answer.
Rule Detection — Frequently Asked Questions
How is rule detection different from classification?+
Classification asks which figure breaks the pattern; rule detection asks which stated rule the whole set satisfies. One looks for the outlier, the other for the shared property.
What is the fastest way to eliminate a rule?+
Look for a single figure that violates it. Because the rule must be universal, one counter-example settles the matter immediately.
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