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Brainteaser/Logic interview questions: page 2 of 7

Questions 51–100

  1. Racing to the first ace from unequal pilesMedium
  2. Fewest d6 and d8 so neither total is favouredMedium
  3. A hundred-pound watermelon drying from 99 to 98 percent waterEasy
  4. Estimating a pond population by tag and recaptureEasy
  5. Guessing ball colours for shrinking prizesEasy
  6. Digit count of one hundred factorialMedium
  7. Weighted sum of binomial coefficients choose threeEasy
  8. Cab number leaving remainder one and divisible by 11Medium
  9. Rook race to the far corner of a chessboardMedium
  10. Prime-indexed door togglers on 100 doorsHard
  11. Mathematician aged x in the year x squaredEasy
  12. How many sixes on an 18-face die averaging 4Easy
  13. Closest factor pair of 1234567890Medium
  14. Deducing the boss's birthday from month and day hintsEasy
  15. Boy ratio when families stop at the first sonEasy
  16. Visible small cubes in a 4x4x4 puzzle cubeEasy
  17. Two-digit number equal to twice its digit productEasy
  18. Triangle whose sides and altitude are consecutiveHard
  19. Sum of inverse cubes over terminating-decimal reciprocalsHard
  20. Ordering matches against a strong and weak rivalEasy
  21. Recover five numbers from their ten pair sumsHard
  22. Smallest square-valued bank of easy and medium itemsEasy
  23. Does Bob have a uniquely best gladiator orderingHard
  24. Hand angle a quarter past threeEasy
  25. Counting k between 100 and 400 with k to the k squareMedium
  26. Worst-case trials to match five keys to five locksEasy
  27. Mix of ten and twenty dollar notes in a depositEasy
  28. Fewest pirates with no mutual cannon aimingEasy
  29. Trailing binary zeros of 142 factorialMedium
  30. Cheque paid with dollars and cents swappedMedium
  31. Safe spot in a circle of 2000 with every second removedHard
  32. Filling two gaps without a four-term progressionMedium
  33. Fly shuttling once between two approaching carsEasy
  34. Snail pushed back by wind every hourEasy
  35. Departure time of two ships crossing midwayMedium
  36. Ten prime-digit numbers with digit product 100000Medium
  37. Function minus its derivative equals a cubicMedium
  38. Moving a ten-ring tower between pegsMedium
  39. Smallest integer with digit product ten thousandMedium
  40. Counting wins from rock paper scissors talliesEasy
  41. Comparing pi to the e with e to the piMedium
  42. Ratio of all Fibonacci terms to every third oneEasy
  43. Gap between clock hands at 3:15Easy
  44. Race to call 200 with steps of one to eightMedium
  45. Odd bean among twelve with three weighingsHard
  46. Square orchard short by 31 treesMedium
  47. Three grazing animals clearing a field togetherEasy
  48. Sixth pairwise product of four positive realsMedium
  49. Handshakes among four couples skipping partnersEasy
  50. Best score in the divisor tax game on 1 to 10Medium