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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 504 · 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 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
  2. 2.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha does not finish the homework. What can you say about “Sneha goes to the park”? (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: 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
  4. 4.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
  5. 5.Rule: If Myra wins the match, then Myra gets a medal. Fact: Myra wins the match. What can you say about “Myra gets a medal”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan does not get a medal. What can you say about “Ishaan wins the match”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul does not win the match. What can you say about “Rahul gets a medal”? (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 bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (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 gets a gold star”? (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 not red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Riya scores above 90, then Riya gets a gold star. Fact: Riya gets a gold star. What can you say about “Riya does not score above 90”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the shop is open, then Priya buys milk. Fact: Priya 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
  14. 14.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara scores above 90. What can you say about “Tara gets a gold star”? (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 gets wet”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth goes to the park. What can you say about “Siddharth does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.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
  19. 19.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya goes to the park. What can you say about “Zoya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya scores above 90. What can you say about “Zoya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya gets a gold star. What can you say about “Aditya does not score above 90”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the shop is open, then Siddharth buys milk. Fact: Siddharth 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
  24. 24.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan gets a gold star. What can you say about “Vivaan scores above 90”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav does not win the match. What can you say about “Manav does not get a medal”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.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
  30. 30.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav finishes the homework. What can you say about “Aarav goes to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya finishes the homework. What can you say about “Priya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya does not win the match. What can you say about “Priya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya does not win the match. What can you say about “Diya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara finishes the homework. What can you say about “Tara goes to the park”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan goes to the park. What can you say about “Rohan does not finish the homework”? (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 do not stop”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If the shop is open, then Ishaan buys milk. Fact: Ishaan 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
  40. 40.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul does not win the match. What can you say about “Rahul does not get a medal”? (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. can't tell
  5. must be true
  6. must be false
  7. can't tell
  8. must be true
  9. must be true
  10. must be true
  11. can't tell
  12. can't tell
  13. must be true
  14. must be true
  15. must be true
  16. can't tell
  17. can't tell
  18. must be false
  19. can't tell
  20. must be true
  21. must be false
  22. can't tell
  23. must be false
  24. must be true
  25. can't tell
  26. can't tell
  27. can't tell
  28. can't tell
  29. must be false
  30. must be true
  31. must be false
  32. can't tell
  33. can't tell
  34. can't tell
  35. must be true
  36. must be true
  37. can't tell
  38. must be false
  39. must be false
  40. can't tell

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