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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 713 · 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 Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya finishes the homework. What can you say about “Aditya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If the shop is open, then Meera buys milk. Fact: The shop is not open. What can you say about “Meera does not buy milk”? (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 rings”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan does not win the match. What can you say about “Ishaan gets a medal”? (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: 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
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya scores above 90. What can you say about “Diya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev gets a medal. What can you say about “Dev wins the match”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  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 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
  15. 15.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
  16. 16.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
  17. 17.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
  18. 18.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav gets a gold star. What can you say about “Aarav scores above 90”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.Rule: If Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi scores above 90. What can you say about “Saanvi does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not go to the park. What can you say about “Karan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.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
  24. 24.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel gets a medal. What can you say about “Neel 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 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
  26. 26.Rule: If the shop is open, then Diya buys milk. Fact: Diya 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 it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (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 rains”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.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
  31. 31.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
  32. 32.Rule: If the shop is open, then Ira buys milk. Fact: Ira 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
  33. 33.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
  34. 34.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not go to the park. What can you say about “Aisha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth scores above 90. What can you say about “Siddharth gets a gold star”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If the shop is open, then Meera buys milk. Fact: Meera 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
  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 stays green”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir does not score above 90. What can you say about “Kabir does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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