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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 394 · 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 it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If the shop is open, then Riya buys milk. Fact: The shop is not open. What can you say about “Riya buys milk”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya gets a medal. What can you say about “Zoya does not win the match”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan wins the match. What can you say about “Ishaan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera does not get a medal. What can you say about “Meera wins the match”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya goes to the park. What can you say about “Riya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.Rule: If the shop is open, then Ira buys milk. Fact: The shop is not open. What can you say about “Ira buys milk”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha does not win the match. What can you say about “Aisha gets a medal”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir does not win the match. What can you say about “Kabir does not get a medal”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya finishes the homework. What can you say about “Riya goes to the park”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya scores above 90. What can you say about “Priya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev gets a medal. What can you say about “Dev wins the match”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav scores above 90. What can you say about “Manav does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  19. 19.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 stays green”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha does not score above 90. What can you say about “Isha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera does not score above 90. What can you say about “Meera does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth wins the match. What can you say about “Siddharth does not get a medal”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan does not finish the homework. What can you say about “Farhan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar does not finish the homework. What can you say about “Omkar does not go to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.Rule: If the shop is open, then Rohan buys milk. Fact: The shop is not open. What can you say about “Rohan buys milk”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If the shop is open, then Farhan buys milk. Fact: The shop is not open. What can you say about “Farhan buys milk”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera does not win the match. What can you say about “Meera does not get a medal”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja wins the match. What can you say about “Pooja gets a medal”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If the shop is open, then Pooja buys milk. Fact: The shop is not open. What can you say about “Pooja does not buy milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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