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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 503 · 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 shop is open, then Ira buys milk. Fact: The shop is open. What can you say about “Ira buys milk”? (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 does not get a gold star”? (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: 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
  4. 4.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha scores above 90. What can you say about “Nisha does not get a gold star”? (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 rains. What can you say about “The road gets wet”? (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 red”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.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
  9. 9.Rule: If the shop is open, then Meera buys milk. Fact: Meera 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
  10. 10.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja does not get a gold star. What can you say about “Pooja does not score above 90”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya gets a medal. What can you say about “Aditya wins the match”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan does not get a gold star. What can you say about “Ishaan does not score above 90”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.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
  16. 16.Rule: If the shop is open, then Isha buys milk. Fact: The shop is not open. What can you say about “Isha buys milk”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.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
  19. 19.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun gets 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
  20. 20.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira does not go to the park. What can you say about “Ira does not finish the homework”? (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 class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar goes 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
  23. 23.Rule: If Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi does not get a medal. What can you say about “Saanvi does not win the match”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Riya buys milk. Fact: The shop is open. What can you say about “Riya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  27. 27.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 does not go to the park”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash gets 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
  30. 30.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
  31. 31.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
  32. 32.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
  33. 33.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha does not go to the park. What can you say about “Isha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan scores above 90. What can you say about “Vivaan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth gets a gold star. What can you say about “Siddharth scores above 90”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel does not score above 90. What can you say about “Neel gets a gold star”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev does not get a medal. What can you say about “Dev wins the match”? (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 does not go to the park. What can you say about “Riya does not finish the homework”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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