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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 132 · 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 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
  2. 2.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
  3. 3.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
  4. 4.Rule: If the shop is open, then Siddharth buys milk. Fact: Siddharth 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
  5. 5.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
  6. 6.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
  7. 7.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
  8. 8.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar does not get a medal. What can you say about “Omkar 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 does not buy milk”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth does not go to the park. What can you say about “Siddharth does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If the shop is open, then Myra buys milk. Fact: The shop is open. What can you say about “Myra does not buy milk”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel does not win the match. What can you say about “Neel does not get a medal”? (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: The school is closed. What can you say about “It is not Sunday”? (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 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
  15. 15.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
  16. 16.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
  17. 17.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
  18. 18.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha gets a medal. What can you say about “Nisha wins the match”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not finish the homework. What can you say about “Aarav goes to the park”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth does not get a gold star. What can you say about “Siddharth does not score above 90”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.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
  24. 24.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel does not finish the homework. What can you say about “Neel does not go to the park”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra finishes the homework. What can you say about “Myra goes to the park”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If the shop is open, then Rohan buys milk. Fact: Rohan 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
  27. 27.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya does not get a gold star. What can you say about “Diya does not score above 90”? (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 stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.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 scores above 90”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Arjun buys milk. Fact: Arjun buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya does not get a medal. What can you say about “Priya does not win the match”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara does not score above 90. What can you say about “Tara does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan wins the match. What can you say about “Farhan does not get a medal”? (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 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
  37. 37.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan finishes the homework. What can you say about “Karan goes to the park”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash does not get a medal. What can you say about “Yash wins the match”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav 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
  40. 40.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya does not get a medal. What can you say about “Priya wins the match”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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