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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 380 · 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 Diya finishes the homework, then Diya goes to the park. Fact: Diya finishes the homework. What can you say about “Diya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul scores above 90. What can you say about “Rahul does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav goes to the park. What can you say about “Aarav does not finish the homework”? (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 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
  6. 6.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
  7. 7.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
  8. 8.Rule: If the shop is open, then Siddharth buys milk. Fact: The shop is open. What can you say about “Siddharth buys milk”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan goes to the park. What can you say about “Karan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya wins the match. What can you say about “Ananya gets a medal”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya gets a medal. What can you say about “Priya does not win the match”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.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
  15. 15.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
  16. 16.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya does not finish the homework. What can you say about “Aditya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If the shop is open, then Dev buys milk. Fact: The shop is not open. What can you say about “Dev buys milk”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav goes to the park. What can you say about “Aarav finishes the homework”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is not closed”? (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: 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
  23. 23.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar goes to the park. What can you say about “Omkar does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Manav buys milk. Fact: Manav buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi finishes the homework. What can you say about “Saanvi does not go to the park”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira does not score above 90. What can you say about “Ira gets a gold star”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not finish the homework. What can you say about “Ananya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is open. What can you say about “Aarav buys milk”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is not open. What can you say about “Arjun does not buy milk”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira goes to the park. What can you say about “Ira finishes the homework”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan finishes the homework. What can you say about “Farhan goes to the park”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not finish the homework. What can you say about “Aisha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.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
  36. 36.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar gets a medal. What can you say about “Omkar wins the match”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar does not finish the homework. What can you say about “Omkar goes to the park”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the shop is open, then Neel buys milk. Fact: The shop is open. What can you say about “Neel buys milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If the shop is open, then Ira buys milk. Fact: Ira buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan does not finish the homework. What can you say about “Rohan does not go to the park”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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