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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 658 · 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 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
  2. 2.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan finishes the homework. What can you say about “Ishaan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not go to the park. What can you say about “Manav finishes the homework”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera goes to the park. What can you say about “Meera finishes the homework”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan does not score above 90. What can you say about “Farhan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya goes 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
  7. 7.Rule: If the shop is open, then Neel buys milk. Fact: The shop is open. What can you say about “Neel buys milk”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha goes to the park. What can you say about “Isha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera does not score above 90. What can you say about “Meera gets a gold star”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir does not win the match. What can you say about “Kabir does not get a medal”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash finishes the homework. What can you say about “Yash does not go to the park”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is not open. What can you say about “Aarav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra does not go to the park. What can you say about “Myra finishes the homework”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.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
  19. 19.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not finish the homework. What can you say about “Yash does not go to the park”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth does not finish the homework. What can you say about “Siddharth does not go to the park”? (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 Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan does not get a medal. What can you say about “Ishaan wins the match”? (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 gets water”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul does not score above 90. What can you say about “Rahul does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If the shop is open, then Sneha buys milk. Fact: The shop is not open. What can you say about “Sneha buys milk”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If the shop is open, then Myra buys milk. Fact: Myra buys milk. What can you say about “The shop is not open”? (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 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
  30. 30.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
  31. 31.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
  32. 32.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera scores above 90. What can you say about “Meera does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.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
  35. 35.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
  36. 36.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
  37. 37.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
  38. 38.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not win the match. What can you say about “Siddharth does not get 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 rains”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Nisha buys milk. Fact: Nisha buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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