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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 352 · 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 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
  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 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
  4. 4.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
  5. 5.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
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan goes to the park. What can you say about “Ishaan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya gets a gold star. What can you say about “Priya scores above 90”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.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
  13. 13.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
  14. 14.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
  15. 15.Rule: If Myra wins the match, then Myra gets a medal. Fact: Myra wins the match. What can you say about “Myra does not get a medal”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If the shop is open, then Neel buys milk. Fact: Neel 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
  17. 17.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya does not go to the park. What can you say about “Kavya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha scores above 90. What can you say about “Aisha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira gets a medal. What can you say about “Ira does not win the match”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun gets a medal. What can you say about “Arjun wins the match”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha does not score above 90. What can you say about “Sneha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira finishes the homework. What can you say about “Ira goes to the park”? (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 get water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not get a medal. What can you say about “Arjun wins the match”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya finishes the homework. What can you say about “Kavya goes to the park”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya does not win the match. What can you say about “Diya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha does not finish the homework. What can you say about “Sneha goes to the park”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi does not get a medal. What can you say about “Saanvi wins the match”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If the shop is open, then Neel buys milk. Fact: Neel buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Omkar buys milk. Fact: Omkar buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav finishes the homework. What can you say about “Manav goes to the park”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.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
  35. 35.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
  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 does not stay green”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash does not score above 90. What can you say about “Yash gets a gold star”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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