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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 541 · 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 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
  2. 2.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
  3. 3.Rule: If the shop is open, then Isha buys milk. Fact: The shop is not open. What can you say about “Isha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan wins the match. What can you say about “Vivaan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya gets a gold star. What can you say about “Zoya does not score above 90”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan does not go to the park. What can you say about “Rohan finishes 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 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
  9. 9.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
  10. 10.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira wins the match. What can you say about “Ira does not get a medal”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If the shop is open, then Vivaan buys milk. Fact: Vivaan 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
  12. 12.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
  13. 13.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev does not get a gold star. What can you say about “Dev does not score above 90”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya wins the match. What can you say about “Diya gets a medal”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.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
  17. 17.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira does not get a medal. What can you say about “Ira wins the match”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira does not finish the homework. What can you say about “Ira goes to the park”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the shop is open, then Karan buys milk. Fact: Karan buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan does not score above 90. What can you say about “Farhan gets 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 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
  24. 24.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
  25. 25.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya finishes the homework. What can you say about “Aditya goes to the park”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan does not get a gold star. What can you say about “Farhan does not score above 90”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is open. What can you say about “Kabir buys milk”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.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
  30. 30.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 does not go to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.Rule: If the shop is open, then Dev buys milk. Fact: The shop is open. What can you say about “Dev buys milk”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav does not win the match. What can you say about “Aarav does not get a medal”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha wins the match. What can you say about “Isha gets a medal”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha does not get a gold star. What can you say about “Sneha does not score above 90”? (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 finishes 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 the shop is open, then Saanvi buys milk. Fact: Saanvi buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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