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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 241 · 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 Manav buys milk. Fact: The shop is not open. What can you say about “Manav buys milk”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.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
  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 Ira wins the match, then Ira gets a medal. Fact: Ira gets 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
  6. 6.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
  7. 7.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
  8. 8.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel gets a medal. What can you say about “Neel wins the match”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is open. What can you say about “Aarav buys milk”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav does not score above 90. What can you say about “Manav does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya goes to the park. What can you say about “Kavya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan finishes the homework. What can you say about “Vivaan does not go to the park”? (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 class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan goes to the park. What can you say about “Ishaan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the shop is open, then Diya buys milk. Fact: The shop is not open. What can you say about “Diya buys milk”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul scores above 90. What can you say about “Rahul gets a gold star”? (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 red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir wins the match. What can you say about “Kabir gets a medal”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Omkar buys milk. Fact: Omkar 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
  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 not red”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya finishes the homework. What can you say about “Zoya goes to the park”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.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
  30. 30.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
  31. 31.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha goes to the park. What can you say about “Nisha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If the shop is open, then Karan buys milk. Fact: Karan buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If the shop is open, then Vivaan buys milk. Fact: Vivaan 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
  34. 34.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev does not finish the homework. What can you say about “Dev does not go to the park”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.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
  38. 38.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
  39. 39.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
  40. 40.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya finishes the homework. What can you say about “Ananya goes to the park”? (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. must be true
  5. can't tell
  6. must be false
  7. can't tell
  8. can't tell
  9. must be true
  10. can't tell
  11. can't tell
  12. can't tell
  13. must be false
  14. must be false
  15. must be false
  16. can't tell
  17. can't tell
  18. can't tell
  19. can't tell
  20. must be true
  21. must be true
  22. must be false
  23. must be true
  24. must be true
  25. can't tell
  26. can't tell
  27. must be true
  28. can't tell
  29. must be true
  30. can't tell
  31. can't tell
  32. can't tell
  33. must be false
  34. can't tell
  35. can't tell
  36. can't tell
  37. must be true
  38. can't tell
  39. must be true
  40. must be true

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