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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 489 · 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 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
  2. 2.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 gets a gold star”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If the shop is open, then Kavya buys milk. Fact: Kavya 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
  4. 4.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
  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 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
  7. 7.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
  8. 8.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
  9. 9.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan gets 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
  10. 10.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar does not go to the park. What can you say about “Omkar does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.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
  13. 13.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If the shop is open, then Aisha buys milk. Fact: Aisha buys milk. What can you say about “The shop is open”? (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 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 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
  18. 18.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
  19. 19.Rule: If Riya scores above 90, then Riya gets a gold star. Fact: Riya scores above 90. What can you say about “Riya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha wins the match. What can you say about “Sneha does not get a medal”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya does not get a medal. What can you say about “Diya does not win the match”? (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 traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.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
  26. 26.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel does not win the match. What can you say about “Neel gets a medal”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun goes to the park. What can you say about “Arjun finishes the homework”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.Rule: If Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi does not win the match. What can you say about “Saanvi does not get a medal”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav scores above 90. What can you say about “Aarav gets a gold star”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not go to the park. What can you say about “Arjun does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  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 Tara scores above 90, then Tara gets a gold star. Fact: Tara does not get a gold star. What can you say about “Tara scores above 90”? (a) must be true (b) must be false (c) can't tell
  38. 38.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 does not score above 90”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya does not get a medal. What can you say about “Kavya wins the match”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha gets a gold star. What can you say about “Nisha does not score above 90”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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