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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 20 · 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 the plant gets water, then the plant stays green. Fact: The plant does not stay green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar scores above 90. What can you say about “Omkar gets a gold star”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha does not get a gold star. What can you say about “Isha does not score above 90”? (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 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
  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 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
  10. 10.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not finish the homework. What can you say about “Karan goes to the park”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.Rule: If the shop is open, then Ananya buys milk. Fact: Ananya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun wins the match. What can you say about “Arjun gets a medal”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha does not go to the park. What can you say about “Sneha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel does not win the match. What can you say about “Neel does not get a medal”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya 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
  19. 19.Rule: If the shop is open, then Siddharth buys milk. Fact: Siddharth 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
  20. 20.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha goes to the park. What can you say about “Sneha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If the shop is open, then Ishaan buys milk. Fact: Ishaan buys milk. What can you say about “The shop is not open”? (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 Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan goes to the park. What can you say about “Farhan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.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
  26. 26.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
  27. 27.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera does not win the match. What can you say about “Meera gets a medal”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If the shop is open, then Arjun buys milk. Fact: Arjun 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
  29. 29.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash finishes the homework. What can you say about “Yash goes to the park”? (a) must be true (b) must be false (c) can't tell
  30. 30.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 gets a gold star”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya scores above 90. What can you say about “Kavya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara does not go to the park. What can you say about “Tara does not finish the homework”? (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 the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the shop is open, then Ishaan buys milk. Fact: Ishaan 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
  36. 36.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
  37. 37.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
  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 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
  40. 40.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya does not win the match. What can you say about “Zoya gets a medal”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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