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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 438 · 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 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
  2. 2.Rule: If the shop is open, then Dev buys milk. Fact: Dev buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.Rule: If Myra wins the match, then Myra gets a medal. Fact: Myra does not win 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
  5. 5.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
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.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
  10. 10.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
  11. 11.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
  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 Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi gets a gold star. What can you say about “Saanvi scores above 90”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha does not finish the homework. What can you say about “Nisha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.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
  18. 18.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not get a medal. What can you say about “Vivaan wins the match”? (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: 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
  20. 20.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
  21. 21.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar gets 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
  22. 22.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan scores above 90. What can you say about “Karan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not finish the homework. What can you say about “Arjun does not go to the park”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav gets a medal. What can you say about “Manav does not win the match”? (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 class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.Rule: If the shop is open, then Diya buys milk. Fact: Diya 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
  30. 30.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash finishes the homework. What can you say about “Yash does not go to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.Rule: If the shop is open, then Kavya buys milk. Fact: Kavya buys milk. What can you say about “The shop is open”? (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 not 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 Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya goes to the park. What can you say about “Zoya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha gets a medal. What can you say about “Aisha wins the match”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha finishes the homework. What can you say about “Sneha goes to the park”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  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 not 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 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 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

Answer key

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

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