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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 328 · 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 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
  2. 2.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
  3. 3.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya finishes the homework. What can you say about “Aditya goes to the park”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.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
  6. 6.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya gets a gold star. What can you say about “Kavya scores above 90”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi does not get a gold star. What can you say about “Saanvi does not score above 90”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja wins the match. What can you say about “Pooja gets a medal”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If the shop is open, then Manav buys milk. Fact: The shop is open. What can you say about “Manav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is open. What can you say about “Kabir buys milk”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is open. What can you say about “Zoya buys milk”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya does not win the match. What can you say about “Zoya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi goes to the park. What can you say about “Saanvi finishes the homework”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.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
  18. 18.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not get a medal. What can you say about “Siddharth wins the match”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya gets a medal. What can you say about “Priya does not win the match”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is open. What can you say about “Vivaan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya scores above 90. What can you say about “Aditya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan does not get a medal. What can you say about “Rohan does not win the match”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If the shop is open, then Rahul buys milk. Fact: Rahul 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
  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 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
  28. 28.Rule: If the shop is open, then Meera buys milk. Fact: Meera 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
  29. 29.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
  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 red”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.Rule: If Myra wins the match, then Myra gets a medal. Fact: Myra does not get a medal. What can you say about “Myra does not win the match”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan does not go 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
  34. 34.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
  35. 35.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth does not score above 90. What can you say about “Siddharth does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If Myra wins the match, then Myra gets a medal. Fact: Myra gets a medal. What can you say about “Myra does not win the match”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya does not win the match. What can you say about “Zoya gets a medal”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav does not get a gold star. What can you say about “Aarav scores above 90”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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