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Logical and abstract reasoning

Deductive reasoning

Applying stated rules and constraints to reach valid conclusions.

Lesson

Start with the shared skill lesson — objectives, worked examples, and glossary.

Open skill lesson

Diagnostic practice

100 questions published across 10 sections. Every question is written for this skill specifically — no universal or borrowed bank is substituted. Answers are checked on this device only, and the result is an educational practice band for that exercise, never a clinical, diagnostic, or IQ-style score.

Choose a section

This bank has 10 themed sections and 100 questions in total, ordered so the earlier sections are the gentler ones. Sit a single section, or work through the whole bank in one go. Nothing here is timed — the minutes are only a guide.

  1. 1. Universal statements: all and every10 questions · about 9 min, untimed
  2. 2. Some, no, and not all10 questions · about 9 min, untimed
  3. 3. If-then statements and what they license10 questions · about 9 min, untimed
  4. 4. Common conditional traps10 questions · about 9 min, untimed
  5. 5. Either-or and neither-nor10 questions · about 9 min, untimed
  6. 6. Necessary and sufficient conditions10 questions · about 9 min, untimed
  7. 7. Only, unless, and quantifier scope10 questions · about 9 min, untimed
  8. 8. Ordering, ranking, and transitivity10 questions · about 9 min, untimed
  9. 9. Multi-clue elimination puzzles10 questions · about 9 min, untimed
  10. 10. Chained conditionals, validity, and soundness10 questions · about 9 min, untimed

Section 1: Universal statements: all and every

Warm up by applying statements that cover an entire group, and by noticing when a rule cannot be run backwards.

1. All the lamps in the Harbourside showroom are fitted with LED bulbs. The desk lamp on the corner table is in the Harbourside showroom. Which conclusion follows with certainty?
2. All the tools in the blue cabinet are calibrated monthly. All monthly-calibrated tools carry a dated sticker. What follows about the tools in the blue cabinet?
3. All the novels on the top shelf are hardbacks. The book Rina is holding is a hardback. What can be concluded?
4. All apprentices at the Ferryhill yard wear steel-capped boots. Some people wearing steel-capped boots at the yard are visiting inspectors. Which statement is safe to accept?
5. All the seeds in packet R germinate within ten days. Packet R was emptied into tray 4, and nothing else was planted there. What follows about tray 4?
6. Every parcel accepted at the Whitcombe depot has a barcode label. The parcel Devon is holding has no barcode label. What follows?
7. All the recipes in Chapter 2 use butter. None of the recipes in Chapter 5 uses butter. What follows?
8. Consider this incomplete argument: "All the coaches at the Stanmore club hold a first-aid certificate, therefore Ivo holds a first-aid certificate." Which additional statement would make the argument valid?
9. All the mugs on the trolley are chipped. There are eight mugs on the trolley. Which statement must be true?
10. All members of the Ashlyn quartet play a stringed instrument. All students who play a stringed instrument have a locker in the west corridor. Petra has a locker in the west corridor. What follows about Petra?

0 of 10 answered

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