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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 337 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel wins the match. What can you say about “Neel gets a medal”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.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
  4. 4.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
  5. 5.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
  6. 6.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya gets a gold star. What can you say about “Diya scores above 90”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the shop is open, then Myra buys milk. Fact: Myra buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  8. 8.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
  9. 9.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
  10. 10.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
  11. 11.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan does not score above 90. What can you say about “Ishaan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Myra scores above 90, then Myra gets a gold star. Fact: Myra does not score above 90. What can you say about “Myra gets a gold star”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.Rule: If the shop is open, then Kabir buys milk. Fact: Kabir 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
  15. 15.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan finishes the homework. What can you say about “Farhan goes to the park”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel does not get a gold star. What can you say about “Neel scores above 90”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya does not go to the park. What can you say about “Aditya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.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
  20. 20.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
  21. 21.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
  22. 22.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar does not win the match. What can you say about “Omkar gets a medal”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha wins the match. What can you say about “Aisha gets a medal”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Karan buys milk. Fact: The shop is not open. What can you say about “Karan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan does not get a medal. What can you say about “Karan wins the match”? (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 gets wet”? (a) must be true (b) must be false (c) can't tell
  27. 27.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 does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  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 the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.Rule: If the shop is open, then Manav buys milk. Fact: Manav 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
  33. 33.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan gets a gold star. What can you say about “Farhan scores above 90”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya does not get a medal. What can you say about “Aditya does not win the match”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera goes to the park. What can you say about “Meera does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.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
  39. 39.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
  40. 40.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya does not get a medal. What can you say about “Riya wins the match”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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