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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 23 · 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 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
  2. 2.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
  3. 3.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 not red”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If the shop is open, then Neel buys milk. Fact: The shop is open. What can you say about “Neel does not buy milk”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir gets a medal. What can you say about “Kabir does not win the match”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If the shop is open, then Sneha buys milk. Fact: The shop is open. What can you say about “Sneha 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 Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha scores above 90. What can you say about “Aisha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the shop is open, then Rohan buys milk. Fact: Rohan 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
  14. 14.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha does not finish the homework. What can you say about “Isha goes to the park”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If the shop is open, then Aisha buys milk. Fact: The shop is not open. What can you say about “Aisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If the shop is open, then Manav buys milk. Fact: Manav 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
  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 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
  19. 19.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara gets a gold star. What can you say about “Tara does not score above 90”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir gets a medal. What can you say about “Kabir wins the match”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan wins the match. What can you say about “Rohan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav does not get a medal. What can you say about “Manav wins the match”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the shop is open, then Kavya buys milk. Fact: Kavya 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
  24. 24.Rule: If the shop is open, then Siddharth buys milk. Fact: Siddharth 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 shop is open, then Saanvi buys milk. Fact: The shop is open. What can you say about “Saanvi buys milk”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar does not score above 90. What can you say about “Omkar does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not finish the homework. What can you say about “Karan goes to the park”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra goes to the park. What can you say about “Myra does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.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
  32. 32.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
  33. 33.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
  34. 34.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
  35. 35.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is open. What can you say about “Aditya buys milk”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya does not finish the homework. What can you say about “Zoya goes to the park”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan finishes 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
  38. 38.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya goes to the park. What can you say about “Priya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If Riya scores above 90, then Riya gets a gold star. Fact: Riya does not get a gold star. What can you say about “Riya scores above 90”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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