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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 547 · 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 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
  2. 2.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
  3. 3.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
  4. 4.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir scores above 90. What can you say about “Kabir gets a gold star”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If the shop is open, then Aisha buys milk. Fact: The shop is open. What can you say about “Aisha buys milk”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.Rule: If the shop is open, then Aisha buys milk. Fact: The shop is not open. What can you say about “Aisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is not open. What can you say about “Kabir buys milk”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.Rule: If the shop is open, then Karan buys milk. Fact: Karan 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
  11. 11.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
  12. 12.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
  13. 13.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
  14. 14.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
  15. 15.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
  16. 16.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.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
  19. 19.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
  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 the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan goes to the park. What can you say about “Ishaan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan does not go to the park. What can you say about “Vivaan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja scores above 90. What can you say about “Pooja does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is open. What can you say about “Aarav does not buy milk”? (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 the shop is open, then Aditya buys milk. Fact: The shop is not open. What can you say about “Aditya buys milk”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra goes to the park. What can you say about “Myra does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha wins the match. What can you say about “Sneha does not get a medal”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If the shop is open, then Vivaan buys milk. Fact: Vivaan 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
  34. 34.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
  35. 35.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
  36. 36.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev gets a medal. What can you say about “Dev does not win the match”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul gets a medal. What can you say about “Rahul does not win the match”? (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 does not get wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha goes to the park. What can you say about “Isha finishes the homework”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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