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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 234 · 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 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
  2. 2.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha does not win the match. What can you say about “Aisha gets a medal”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya does not go to the park. What can you say about “Kavya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya goes to the park. What can you say about “Diya does not finish the homework”? (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 traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.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
  9. 9.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan goes to the park. What can you say about “Rohan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel does not go to the park. What can you say about “Neel does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya gets a medal. What can you say about “Zoya wins the match”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.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 gets water”? (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 shop is open, then Karan buys milk. Fact: The shop is not open. What can you say about “Karan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.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
  18. 18.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
  19. 19.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 gets a gold star”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir gets a medal. What can you say about “Kabir wins the match”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira finishes the homework. What can you say about “Ira does not go to the park”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira does not get a medal. What can you say about “Ira does not win the match”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav does not get a gold star. What can you say about “Aarav does not score above 90”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar goes to the park. What can you say about “Omkar finishes the homework”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul finishes the homework. What can you say about “Rahul goes to the park”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not win the match. What can you say about “Arjun does not get a medal”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the shop is open, then Myra buys milk. Fact: The shop is open. What can you say about “Myra buys milk”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If the shop is open, then Pooja buys milk. Fact: Pooja 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
  38. 38.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev does not score above 90. What can you say about “Dev gets a gold star”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.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

Answer key

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

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