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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 746 · 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 Siddharth buys milk. Fact: The shop is open. What can you say about “Siddharth does not buy milk”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.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
  5. 5.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
  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 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
  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 stays green”? (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 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
  10. 10.Rule: If the shop is open, then Isha buys milk. Fact: The shop is open. What can you say about “Isha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan does not score above 90. What can you say about “Rohan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash wins the match. What can you say about “Yash gets a medal”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.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
  16. 16.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
  17. 17.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash goes to the park. What can you say about “Yash does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.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
  20. 20.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan does not finish the homework. What can you say about “Farhan does not go to the park”? (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 starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya finishes the homework. What can you say about “Riya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.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
  25. 25.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
  26. 26.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
  27. 27.Rule: If the shop is open, then Nisha buys milk. Fact: Nisha 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
  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 Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not win the match. What can you say about “Arjun gets a medal”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira does not win the match. What can you say about “Ira does not get a medal”? (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 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
  32. 32.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha does not get a medal. What can you say about “Sneha does not win the match”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If the shop is open, then Saanvi buys milk. Fact: The shop is not open. What can you say about “Saanvi buys milk”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja gets a gold star. What can you say about “Pooja scores above 90”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth wins the match. What can you say about “Siddharth gets a medal”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.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

Answer key

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

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