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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 419 · 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 Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha goes to the park. What can you say about “Nisha finishes the homework”? (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 not closed”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev does not win the match. What can you say about “Dev gets a medal”? (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 class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul wins the match. What can you say about “Rahul gets a medal”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If the shop is open, then Siddharth buys milk. Fact: Siddharth buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.Rule: If it is Sunday, then the school is closed. Fact: The school is not 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 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
  10. 10.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar wins the match. What can you say about “Omkar does not get a medal”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun wins the match. What can you say about “Arjun gets a medal”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan finishes the homework. What can you say about “Rohan goes to the park”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav scores above 90. What can you say about “Manav does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.Rule: If the shop is open, then Karan buys milk. Fact: Karan 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 Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not get a medal. What can you say about “Arjun wins the match”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not finish the homework. What can you say about “Arjun goes to the park”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya finishes the homework. What can you say about “Ananya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.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
  22. 22.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
  23. 23.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
  24. 24.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash gets a gold star. What can you say about “Yash scores above 90”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.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
  27. 27.Rule: If Myra scores above 90, then Myra gets a gold star. Fact: Myra scores above 90. What can you say about “Myra gets a gold star”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is open. What can you say about “Arjun does not buy milk”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not finish the homework. What can you say about “Yash does not go to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.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
  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 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
  35. 35.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar goes to the park. What can you say about “Omkar finishes the homework”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir gets a gold star. What can you say about “Kabir does not score above 90”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha scores above 90. What can you say about “Nisha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun does not get a gold star. What can you say about “Arjun scores above 90”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash wins the match. What can you say about “Yash does not get 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. can't tell
  4. can't tell
  5. must be true
  6. can't tell
  7. can't tell
  8. must be true
  9. must be true
  10. must be false
  11. must be false
  12. must be true
  13. must be true
  14. must be false
  15. can't tell
  16. can't tell
  17. must be false
  18. can't tell
  19. must be false
  20. must be true
  21. can't tell
  22. can't tell
  23. must be false
  24. can't tell
  25. can't tell
  26. can't tell
  27. must be true
  28. must be false
  29. must be false
  30. can't tell
  31. can't tell
  32. must be false
  33. must be false
  34. can't tell
  35. can't tell
  36. can't tell
  37. can't tell
  38. must be true
  39. must be false
  40. must be false

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