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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 136 · 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 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
  2. 2.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 does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan does not get a gold star. What can you say about “Karan does not score above 90”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth finishes the homework. What can you say about “Siddharth does not go to the park”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir gets a medal. What can you say about “Kabir does not win the match”? (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 not 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 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
  9. 9.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is open. What can you say about “Vivaan buys milk”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If the shop is open, then Ira buys milk. Fact: Ira 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 Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya finishes the homework. What can you say about “Aditya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the shop is open, then Riya buys milk. Fact: Riya 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
  13. 13.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya does not go to the park. What can you say about “Diya 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 cars stop. What can you say about “The traffic light is red”? (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 rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel does not finish the homework. What can you say about “Neel goes to the park”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul scores above 90. What can you say about “Rahul does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan gets a medal. What can you say about “Rohan wins the match”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the shop is open, then Manav buys milk. Fact: Manav 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
  20. 20.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is not open. What can you say about “Vivaan does not buy 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 not red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.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
  24. 24.Rule: If Ananya scores above 90, then Ananya gets a gold star. Fact: Ananya does not score above 90. What can you say about “Ananya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.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 does not get water”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha gets a gold star. What can you say about “Isha scores above 90”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav finishes the homework. What can you say about “Manav goes to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.Rule: If the shop is open, then Yash buys milk. Fact: Yash 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 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
  34. 34.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya does not score above 90. What can you say about “Zoya gets a gold star”? (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 does not go to the park”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan scores above 90. What can you say about “Karan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If the shop is open, then Omkar buys milk. Fact: Omkar buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not get a medal. What can you say about “Arjun does not win the match”? (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 false
  6. can't tell
  7. must be true
  8. must be true
  9. must be true
  10. must be false
  11. must be false
  12. must be false
  13. must be false
  14. can't tell
  15. must be false
  16. can't tell
  17. must be false
  18. can't tell
  19. must be true
  20. can't tell
  21. can't tell
  22. can't tell
  23. must be false
  24. can't tell
  25. must be true
  26. must be true
  27. must be true
  28. can't tell
  29. can't tell
  30. must be true
  31. can't tell
  32. must be false
  33. can't tell
  34. can't tell
  35. must be false
  36. must be false
  37. can't tell
  38. can't tell
  39. can't tell
  40. must be true

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