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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 332 · 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 shop is open, then Omkar buys milk. Fact: Omkar 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
  3. 3.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
  4. 4.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash gets a medal. What can you say about “Yash wins the match”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  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 red”? (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 does not ring”? (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 closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan gets a medal. What can you say about “Vivaan does not win the match”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya does not get a medal. What can you say about “Kavya does not win the match”? (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 Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan gets a gold star. What can you say about “Ishaan scores above 90”? (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 does not start”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is open. What can you say about “Nisha buys milk”? (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 does not rain. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If the shop is open, then Omkar buys milk. Fact: Omkar 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 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
  18. 18.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 does not go to the park”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.Rule: If the shop is open, then Sneha buys milk. Fact: The shop is open. What can you say about “Sneha buys milk”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.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
  23. 23.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
  24. 24.Rule: If the shop is open, then Arjun buys milk. Fact: Arjun 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
  25. 25.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
  26. 26.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
  27. 27.Rule: If the shop is open, then Isha buys milk. Fact: The shop is open. What can you say about “Isha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera does not go to the park. What can you say about “Meera finishes the homework”? (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: The shop is open. What can you say about “Siddharth buys milk”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar does not get a medal. What can you say about “Omkar wins the match”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul does not go to the park. What can you say about “Rahul finishes the homework”? (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 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
  36. 36.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara does not finish the homework. What can you say about “Tara goes to the park”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If the shop is open, then Tara buys milk. Fact: The shop is not open. What can you say about “Tara does not buy milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth gets a gold star. What can you say about “Siddharth does not score above 90”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul goes to the park. What can you say about “Rahul does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan wins the match. What can you say about “Vivaan gets a medal”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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