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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 519 · 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 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
  2. 2.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
  3. 3.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara gets a medal. What can you say about “Tara wins the match”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If the shop is open, then Priya buys milk. Fact: Priya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.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 not red”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the shop is open, then Ira buys milk. Fact: Ira 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
  8. 8.Rule: If the shop is open, then Kavya buys milk. Fact: The shop is open. What can you say about “Kavya does not buy milk”? (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 does not rain. What can you say about “The road gets wet”? (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 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
  11. 11.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
  12. 12.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 goes to the park”? (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 bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.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
  16. 16.Rule: If the shop is open, then Tara buys milk. Fact: Tara buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar finishes the homework. What can you say about “Omkar goes to the park”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav 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
  21. 21.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
  22. 22.Rule: If the shop is open, then Siddharth buys milk. Fact: The shop is not open. What can you say about “Siddharth does not buy milk”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth does not finish the homework. What can you say about “Siddharth goes to the park”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If the shop is open, then Rahul buys milk. Fact: Rahul buys milk. What can you say about “The shop is open”? (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 the shop is open, then Kabir buys milk. Fact: Kabir buys milk. What can you say about “The shop is open”? (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 Siddharth buys milk. Fact: Siddharth buys 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 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
  31. 31.Rule: If the shop is open, then Riya buys milk. Fact: Riya 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
  32. 32.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
  33. 33.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
  34. 34.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
  35. 35.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan gets a gold star. What can you say about “Karan does not score above 90”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan gets a gold star. What can you say about “Karan scores above 90”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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