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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 733 · 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 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
  2. 2.Rule: If the shop is open, then Dev buys milk. Fact: Dev 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
  3. 3.Rule: If the shop is open, then Yash buys milk. Fact: The shop is not open. What can you say about “Yash buys milk”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara wins the match. What can you say about “Tara gets a medal”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav gets a gold star. What can you say about “Manav scores above 90”? (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 starts”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is not open. What can you say about “Nisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan does not go to the park. What can you say about “Rohan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya wins the match. What can you say about “Riya gets a medal”? (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 do not stop”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.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
  14. 14.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
  15. 15.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
  16. 16.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
  17. 17.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not finish the homework. What can you say about “Aarav goes to the park”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan goes to the park. What can you say about “Farhan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan does not score above 90. What can you say about “Karan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan does not get a gold star. What can you say about “Vivaan does not score above 90”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav goes to the park. What can you say about “Aarav finishes the homework”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan wins the match. What can you say about “Ishaan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan scores above 90. What can you say about “Farhan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya does not finish the homework. What can you say about “Diya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya does not finish the homework. What can you say about “Diya goes to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.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
  33. 33.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
  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 the shop is open, then Ananya buys milk. Fact: The shop is open. What can you say about “Ananya buys milk”? (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 starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not finish the homework. What can you say about “Ananya goes to the park”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav does not score above 90. What can you say about “Manav gets a gold star”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If the shop is open, then Neel buys milk. Fact: Neel 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
  40. 40.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul finishes the homework. What can you say about “Rahul does not go to the park”? (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. must be true
  5. can't tell
  6. must be true
  7. can't tell
  8. must be false
  9. must be true
  10. must be true
  11. can't tell
  12. must be false
  13. must be true
  14. can't tell
  15. can't tell
  16. can't tell
  17. can't tell
  18. can't tell
  19. can't tell
  20. can't tell
  21. must be true
  22. can't tell
  23. must be false
  24. must be false
  25. can't tell
  26. must be false
  27. must be true
  28. can't tell
  29. can't tell
  30. can't tell
  31. must be false
  32. can't tell
  33. can't tell
  34. can't tell
  35. must be true
  36. can't tell
  37. can't tell
  38. can't tell
  39. must be true
  40. must be false

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