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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 84 · 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.

NameDateTime takenScore ___ / 40
  1. 1.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
  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 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 the shop is open, then Diya buys milk. Fact: The shop is not open. What can you say about “Diya buys milk”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja gets a medal. What can you say about “Pooja wins the match”? (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 stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul gets a gold star. What can you say about “Rahul scores above 90”? (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 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 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
  10. 10.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya scores above 90. What can you say about “Zoya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara does not win the match. What can you say about “Tara gets a medal”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the shop is open, then Isha buys milk. Fact: Isha buys milk. What can you say about “The shop is open”? (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 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
  14. 14.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav does not get a gold star. What can you say about “Manav scores above 90”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan gets a gold star. What can you say about “Vivaan does not score above 90”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya does not win the match. What can you say about “Kavya gets a medal”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.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
  19. 19.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev scores above 90. What can you say about “Dev does not get a gold star”? (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 cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.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
  23. 23.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
  24. 24.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
  25. 25.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
  26. 26.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
  27. 27.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav scores above 90. What can you say about “Aarav gets a gold star”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If the shop is open, then Riya buys milk. Fact: The shop is open. What can you say about “Riya buys milk”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.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 gets a gold star”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Pooja finishes the homework, then Pooja goes to the park. Fact: Pooja goes to the park. What can you say about “Pooja finishes the homework”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If the shop is open, then Manav buys milk. Fact: Manav buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.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
  36. 36.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 gets a gold star”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.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
  39. 39.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
  40. 40.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

Answer key

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

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