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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 610 · 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.

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  1. 1.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not finish the homework. What can you say about “Yash goes to the park”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If the shop is open, then Manav buys milk. Fact: Manav buys milk. What can you say about “The shop is open”? (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 Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not finish the homework. What can you say about “Aarav does not go to the park”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan 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
  7. 7.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav 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
  8. 8.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 not red”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan gets a medal. What can you say about “Rohan does not win the match”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan goes to the park. What can you say about “Rohan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.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 gets a gold star”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan finishes 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
  15. 15.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
  16. 16.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
  17. 17.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha does not get a gold star. What can you say about “Aisha does not score above 90”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash gets a medal. What can you say about “Yash wins the match”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya gets a medal. What can you say about “Kavya does not win the match”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan gets a medal. What can you say about “Farhan does not win the match”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav wins the match. What can you say about “Manav does not get a medal”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth does not score above 90. What can you say about “Siddharth does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  24. 24.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 goes to the park”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira finishes the homework. What can you say about “Ira does not go to the park”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If the shop is open, then Riya buys milk. Fact: Riya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi goes to the park. What can you say about “Saanvi does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If the shop is open, then Isha buys milk. Fact: Isha buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya does not buy milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If the shop is open, then Kavya buys milk. Fact: The shop is open. What can you say about “Kavya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya does not go to the park. What can you say about “Diya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.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
  37. 37.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya does not get a gold star. What can you say about “Kavya scores above 90”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.Rule: If the shop is open, then Karan buys milk. Fact: The shop is open. What can you say about “Karan buys milk”? (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. must be false
  5. can't tell
  6. must be true
  7. must be true
  8. must be true
  9. must be true
  10. can't tell
  11. can't tell
  12. must be true
  13. can't tell
  14. must be false
  15. must be false
  16. can't tell
  17. must be true
  18. can't tell
  19. can't tell
  20. can't tell
  21. can't tell
  22. must be false
  23. can't tell
  24. can't tell
  25. must be false
  26. can't tell
  27. can't tell
  28. can't tell
  29. can't tell
  30. must be false
  31. must be false
  32. must be false
  33. must be true
  34. must be false
  35. can't tell
  36. can't tell
  37. must be false
  38. can't tell
  39. must be true
  40. can't tell

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