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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 501 · 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 Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun does not score above 90. What can you say about “Arjun gets a gold star”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If the shop is open, then Riya buys milk. Fact: Riya 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
  3. 3.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash does not get a medal. What can you say about “Yash does not win the match”? (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 bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If the shop is open, then Myra buys milk. Fact: Myra buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.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 scores above 90”? (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 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
  11. 11.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
  12. 12.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is not open. What can you say about “Aarav buys milk”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is open. What can you say about “Kabir buys milk”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi does not go to the park. What can you say about “Saanvi finishes the homework”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If the shop is open, then Riya buys milk. Fact: Riya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra does not finish the homework. What can you say about “Myra goes to the park”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar does not get a gold star. What can you say about “Omkar scores above 90”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya finishes 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
  20. 20.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
  21. 21.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
  22. 22.Rule: If the shop is open, then Manav buys milk. Fact: Manav 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
  23. 23.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya finishes the homework. What can you say about “Diya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.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
  26. 26.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav does not win the match. What can you say about “Aarav does not get a medal”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar does not score above 90. What can you say about “Omkar does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya does not finish the homework. What can you say about “Riya goes to the park”? (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 bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not get a medal. What can you say about “Arjun wins the match”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev scores above 90. What can you say about “Dev gets a gold star”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is open. What can you say about “Nisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel finishes the homework. What can you say about “Neel goes to the park”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar does not win the match. What can you say about “Omkar does not get a medal”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel does not get a gold star. What can you say about “Neel scores above 90”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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