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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 211 · 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 the shop is open, then Yash buys milk. Fact: Yash buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If the shop is open, then Isha buys milk. Fact: Isha buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not go 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
  4. 4.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
  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 stays green”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan does not score above 90. What can you say about “Vivaan gets a gold star”? (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 class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel goes to the park. What can you say about “Neel does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.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
  11. 11.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha finishes the homework. What can you say about “Isha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha goes to the park. What can you say about “Sneha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev does not finish the homework. What can you say about “Dev does not go to the park”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar gets a gold star. What can you say about “Omkar scores above 90”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya gets a gold star. What can you say about “Aditya scores above 90”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.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
  21. 21.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya wins the match. What can you say about “Priya does not get 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: The road gets wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera finishes the homework. What can you say about “Meera goes to the park”? (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 does not rain”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira does not get a gold star. What can you say about “Ira scores above 90”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya does not go to the park. What can you say about “Kavya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir does not get a gold star. What can you say about “Kabir scores above 90”? (a) must be true (b) must be false (c) can't tell
  31. 31.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 does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan does not win the match. What can you say about “Rohan gets a medal”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav gets a gold star. What can you say about “Aarav does not score above 90”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.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
  37. 37.Rule: If the shop is open, then Manav buys milk. Fact: Manav buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev finishes the homework. What can you say about “Dev does not go to the park”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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