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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 85 · 40 questions
TalentJR

How to think it through (Two sure moves): The “if” part happened → the “then” part must be true. The “then” part did not happen → the “if” part must be false. The “then” part happened, or the “if” part did not happen → we can’t tell.

NameDateTime takenScore ___ / 40
  1. 1.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not finish the homework. What can you say about “Manav does not go to the park”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha gets a gold star. What can you say about “Sneha scores above 90”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya does not finish the homework. What can you say about “Riya goes to the park”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya does not go to the park. What can you say about “Priya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara does not finish the homework. What can you say about “Tara goes to the park”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha gets a medal. What can you say about “Isha wins the match”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara goes to the park. What can you say about “Tara finishes the homework”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja does not get a medal. What can you say about “Pooja wins the match”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If the shop is open, then Sneha buys milk. Fact: Sneha does not buy milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev does not score above 90. What can you say about “Dev does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi does not get a medal. What can you say about “Saanvi does not win the match”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not finish the homework. What can you say about “Karan goes to the park”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev does not get a medal. What can you say about “Dev wins the match”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not stay green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan goes to the park. What can you say about “Vivaan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar wins the match. What can you say about “Omkar gets a medal”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir gets a gold star. What can you say about “Kabir scores above 90”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash does not win the match. What can you say about “Yash gets a medal”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Ananya scores above 90, then Ananya gets a gold star. Fact: Ananya scores above 90. What can you say about “Ananya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan finishes the homework. What can you say about “Vivaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan wins the match. What can you say about “Farhan does not get a medal”? (a) must be true (b) must be false (c) can't tell

Answer key

  1. can't tell
  2. can't tell
  3. must be false
  4. can't tell
  5. can't tell
  6. must be true
  7. must be true
  8. can't tell
  9. can't tell
  10. can't tell
  11. can't tell
  12. can't tell
  13. can't tell
  14. can't tell
  15. can't tell
  16. must be false
  17. must be true
  18. can't tell
  19. must be true
  20. must be true
  21. can't tell
  22. must be false
  23. can't tell
  24. must be true
  25. can't tell
  26. must be false
  27. can't tell
  28. can't tell
  29. must be true
  30. must be true
  31. can't tell
  32. can't tell
  33. must be false
  34. can't tell
  35. can't tell
  36. must be true
  37. must be false
  38. must be true
  39. must be true
  40. must be false

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