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Pro Practice Pack

Logical Reasoning — Pro Practice Pack

Twenty harder logical-reasoning problems at real assessment difficulty — deduction, conditional (if–then) logic and its classic traps, and letter and order sequences. Try each before reading the solution; the worked steps show the rule and the common trap, not just the answer.

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20 worked questions · 14-day money-back guarantee

Free sample questions

1. Five runners finish a race. Ana beat Bo. Bo beat Cy. Di beat Ana. Ed finished last, behind Cy. Who finished first?

  1. Ana
  2. Bo
  3. Di ✓
  4. Ed

Solution. Di beat Ana, who beat Bo, who beat Cy, with Ed last: Di > Ana > Bo > Cy > Ed. So Di finished first.

2. If the alarm is set, the door is locked. The door is NOT locked. Therefore:

  1. The alarm is set
  2. The alarm is not set ✓
  3. The door is open
  4. It cannot be determined

Solution. 'Set → locked'. The door isn't locked, so by the contrapositive the alarm cannot be set.

18 more in the Pro pack

Every question comes with a full worked solution — the fastest method, not just the answer.

  1. If a shape is a square, it has four sides. This shape has four sides. Therefore the shape:
  2. Only employees with a badge can enter. Sara entered. Therefore:
  3. If it freezes, the pipes burst. If the pipes burst, the basement floods. It froze. Therefore:
  4. If Maya trains, she competes. Maya did not compete. Did Maya train?
  5. What letter comes next? B, D, G, K, ?
  6. Continue the sequence: Z, X, V, T, ?
  7. If the day after tomorrow is Saturday, what day was yesterday?
  8. In a row of houses: the red is left of the blue, the green is right of the blue, and the yellow is between red and blue. What is the left-to-right order?
  9. All accountants are punctual. No punctual person was late. Therefore an accountant:
  10. A light turns on only if the switch is up. The light is on. Therefore the switch is:
  11. What number continues the sequence? 2, 3, 5, 9, 17, ?
  12. Three friends each drive a red, blue, or white car. Ann's isn't red. Ben's is white. What colour is Ann's car?
  13. Everyone who passed studied. Lee studied. Can we conclude Lee passed?
  14. Continue the sequence: AB, DE, GH, ?
  15. No mammals are cold-blooded. Some pets are cold-blooded. Therefore:
  16. Counting backwards from the end of the alphabet (Z, Y, X, …), what is the 6th letter?
  17. You can board unless your ticket is invalid. Priya could not board. Therefore Priya's ticket was:
  18. Four boxes are stacked. The tiny box is at the bottom. The medium box is above the light box, and the light box is above the heavy box. What is the order, top to bottom?
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