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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 482 · 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 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
  2. 2.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan does not finish the homework. What can you say about “Farhan goes to the park”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan does not finish the homework. What can you say about “Rohan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.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
  6. 6.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan 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
  7. 7.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
  8. 8.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
  9. 9.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
  10. 10.Rule: If the shop is open, then Sneha buys milk. Fact: The shop is open. What can you say about “Sneha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha wins the match. What can you say about “Nisha gets a medal”? (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: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is open. What can you say about “Vivaan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.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
  16. 16.Rule: If the shop is open, then Priya buys milk. Fact: The shop is not open. What can you say about “Priya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav wins the match. What can you say about “Aarav gets a medal”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the shop is open, then Riya buys milk. Fact: Riya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.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
  22. 22.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.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
  25. 25.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
  26. 26.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir does not win the match. What can you say about “Kabir gets a medal”? (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 bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir gets a gold star. What can you say about “Kabir does not score above 90”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha does not win the match. What can you say about “Nisha does not get a medal”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha gets a medal. What can you say about “Isha wins the match”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun does not get a gold star. What can you say about “Arjun does not score above 90”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan finishes the homework. What can you say about “Rohan goes to the park”? (a) must be true (b) must be false (c) can't tell
  34. 34.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 does not score above 90”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If Myra wins the match, then Myra gets a medal. Fact: Myra does not win the match. What can you say about “Myra gets a medal”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If the shop is open, then Isha buys milk. Fact: Isha 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
  39. 39.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not go to the park. What can you say about “Aisha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya goes to the park. What can you say about “Riya finishes the homework”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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