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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 404 · 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 gets wet”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth goes to the park. What can you say about “Siddharth does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya wins the match. What can you say about “Zoya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar does not get a gold star. What can you say about “Omkar does not score above 90”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth scores above 90. What can you say about “Siddharth gets a gold star”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If the shop is open, then Karan buys milk. Fact: Karan buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya does not go to the park. What can you say about “Aditya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  8. 8.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
  9. 9.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
  10. 10.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (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 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
  12. 12.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
  13. 13.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya does not score above 90. What can you say about “Diya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya wins the match. What can you say about “Priya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya does not score above 90. What can you say about “Zoya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya goes to the park. What can you say about “Aditya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.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
  21. 21.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi scores above 90. What can you say about “Saanvi gets a gold star”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav does not win the match. What can you say about “Aarav gets a medal”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth scores 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
  25. 25.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
  26. 26.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav finishes the homework. What can you say about “Aarav goes to the park”? (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: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha does not finish the homework. What can you say about “Isha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  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 do not stop”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is open. What can you say about “Vivaan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.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 goes to the park”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If the shop is open, then Ishaan buys milk. Fact: The shop is open. What can you say about “Ishaan buys milk”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera finishes the homework. What can you say about “Meera goes to the park”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Pooja finishes the homework, then Pooja goes to the park. Fact: Pooja does not finish the homework. What can you say about “Pooja goes to the park”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel does not finish the homework. What can you say about “Neel does not go to the park”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.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

Answer key

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

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