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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 358 · 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 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
  2. 2.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
  3. 3.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
  4. 4.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya does not finish the homework. What can you say about “Kavya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  6. 6.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 gets water”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan does not finish the homework. What can you say about “Vivaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira wins the match. What can you say about “Ira does not get a medal”? (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 does not get 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 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
  11. 11.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha does not go to the park. What can you say about “Sneha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav gets a medal. What can you say about “Aarav does not win the match”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.Rule: If the shop is open, then Neel buys milk. Fact: The shop is not open. What can you say about “Neel buys milk”? (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 Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul does not go to the park. What can you say about “Rahul does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the shop is open, then Siddharth buys milk. Fact: The shop is open. What can you say about “Siddharth buys milk”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the shop is open, then Isha buys milk. Fact: The shop is open. What can you say about “Isha buys milk”? (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 closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev does not finish the homework. What can you say about “Dev does not go to the park”? (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: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.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
  26. 26.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash finishes the homework. What can you say about “Yash does not go to the park”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan does not win the match. What can you say about “Farhan gets a medal”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Ananya scores above 90, then Ananya gets a gold star. Fact: Ananya does not get a gold star. What can you say about “Ananya scores above 90”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.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
  31. 31.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha goes to the park. What can you say about “Nisha does not finish the homework”? (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 rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If the shop is open, then Rahul buys milk. Fact: The shop is not open. What can you say about “Rahul does not buy milk”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha gets a gold star. What can you say about “Aisha does not score above 90”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan does not score above 90. What can you say about “Ishaan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan does not win the match. What can you say about “Rohan gets a medal”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya gets a gold star. What can you say about “Diya scores above 90”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan scores above 90. What can you say about “Farhan gets a gold star”? (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. can't tell
  5. can't tell
  6. must be false
  7. can't tell
  8. must be false
  9. can't tell
  10. can't tell
  11. must be false
  12. must be false
  13. can't tell
  14. can't tell
  15. can't tell
  16. can't tell
  17. can't tell
  18. must be true
  19. must be true
  20. must be true
  21. can't tell
  22. can't tell
  23. must be true
  24. can't tell
  25. must be true
  26. must be false
  27. can't tell
  28. must be false
  29. must be false
  30. must be true
  31. can't tell
  32. must be true
  33. can't tell
  34. can't tell
  35. can't tell
  36. can't tell
  37. can't tell
  38. can't tell
  39. can't tell
  40. must be true

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