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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 551 · 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: 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
  2. 2.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun finishes the homework. What can you say about “Arjun does not go to the park”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.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
  5. 5.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha wins the match. What can you say about “Sneha gets a medal”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan gets a medal. What can you say about “Ishaan does not win the match”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan does not score above 90. What can you say about “Rohan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav scores above 90. What can you say about “Aarav does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not go to the park. What can you say about “Karan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel finishes the homework. What can you say about “Neel does not go to the park”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav finishes the homework. What can you say about “Manav does not go to the park”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha finishes the homework. What can you say about “Nisha goes to the park”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha does not win the match. What can you say about “Sneha gets a medal”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya wins the match. What can you say about “Aditya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan gets a medal. What can you say about “Karan wins the match”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya wins the match. What can you say about “Kavya gets a medal”? (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 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
  21. 21.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
  22. 22.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
  23. 23.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash does not win 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
  24. 24.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev wins the match. What can you say about “Dev does not get a medal”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha does not get a gold star. What can you say about “Isha scores above 90”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev gets a medal. What can you say about “Dev does not win the match”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  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 shop is open, then Pooja buys milk. Fact: The shop is open. What can you say about “Pooja does not buy milk”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya does not finish the homework. What can you say about “Zoya goes to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Siddharth buys milk. Fact: The shop is open. What can you say about “Siddharth does not buy milk”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya scores above 90. What can you say about “Diya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not get 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
  34. 34.Rule: If the shop is open, then Saanvi buys milk. Fact: Saanvi 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
  35. 35.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
  36. 36.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
  37. 37.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya finishes the homework. What can you say about “Zoya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.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
  40. 40.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel does not go to the park. What can you say about “Neel does not finish the homework”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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