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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 552 · 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 Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha goes to the park. What can you say about “Aisha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash goes to the park. What can you say about “Yash finishes the homework”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir wins the match. What can you say about “Kabir gets a medal”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya does not get a gold star. What can you say about “Priya scores above 90”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.Rule: If the shop is open, then Neel buys milk. Fact: The shop is open. What can you say about “Neel does not buy milk”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha finishes the homework. What can you say about “Nisha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If the shop is open, then Kavya buys milk. Fact: The shop is not open. What can you say about “Kavya does not buy milk”? (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 Yash wins the match, then Yash gets a medal. Fact: Yash wins 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
  13. 13.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
  14. 14.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
  15. 15.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
  16. 16.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
  17. 17.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
  18. 18.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan scores above 90. What can you say about “Rohan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.Rule: If Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha does not score above 90. What can you say about “Sneha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan goes to the park. What can you say about “Karan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is not open. What can you say about “Vivaan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.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
  26. 26.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
  27. 27.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
  28. 28.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul gets a gold star. What can you say about “Rahul does not score above 90”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not finish 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
  30. 30.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
  31. 31.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
  32. 32.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not win the match. What can you say about “Vivaan gets a medal”? (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 rains. 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 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
  35. 35.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash does not get a gold star. What can you say about “Yash does not score above 90”? (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 bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya does not get 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
  38. 38.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
  39. 39.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha does not finish the homework. What can you say about “Isha goes to the park”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Neel buys milk. Fact: The shop is open. What can you say about “Neel buys milk”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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