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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 286 · 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 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
  2. 2.Rule: If the shop is open, then Sneha buys milk. Fact: The shop is open. What can you say about “Sneha does not buy milk”? (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 rings”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra does not go to the park. What can you say about “Myra finishes the homework”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha scores above 90. What can you say about “Nisha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan wins the match. What can you say about “Karan gets a medal”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is not open. What can you say about “Aarav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya goes to the park. What can you say about “Riya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera scores above 90. What can you say about “Meera gets a gold star”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If the shop is open, then Diya buys milk. Fact: The shop is open. What can you say about “Diya buys milk”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.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
  17. 17.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
  18. 18.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha does not get a medal. What can you say about “Aisha wins the match”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the shop is open, then Rahul buys milk. Fact: Rahul buys 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 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
  21. 21.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara wins the match. What can you say about “Tara gets a medal”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.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
  24. 24.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
  25. 25.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar finishes the homework. What can you say about “Omkar does not go to the park”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.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
  30. 30.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
  31. 31.Rule: If Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi gets a medal. What can you say about “Saanvi wins the match”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel does not get a medal. What can you say about “Neel does not win the match”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya gets a gold star. What can you say about “Priya does not score above 90”? (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 gets 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 stays green”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is not open. What can you say about “Aarav buys milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the shop is open, then Riya buys milk. Fact: The shop is not open. What can you say about “Riya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya gets a medal. What can you say about “Priya wins the match”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Isha buys milk. Fact: The shop is not open. What can you say about “Isha buys milk”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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