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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 46 · 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 gets wet”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja does not win the match. What can you say about “Pooja does not get a medal”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi finishes the homework. What can you say about “Saanvi goes to the park”? (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: Diya 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 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
  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 does not stay green”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the shop is open, then Omkar buys milk. Fact: Omkar buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  8. 8.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
  9. 9.Rule: If the shop is open, then Tara buys milk. Fact: The shop is open. What can you say about “Tara buys milk”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.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 does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.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
  14. 14.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
  15. 15.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya does not finish the homework. What can you say about “Kavya goes to the park”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.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
  18. 18.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha finishes the homework. What can you say about “Sneha goes to the park”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul gets a gold star. What can you say about “Rahul does not score above 90”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is not open. What can you say about “Vivaan buys milk”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya does not get a medal. What can you say about “Kavya does not win the match”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is open. What can you say about “Nisha buys milk”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  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 does not get water”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Riya scores above 90, then Riya gets a gold star. Fact: Riya does not score above 90. What can you say about “Riya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi does not finish the homework. What can you say about “Saanvi goes to the park”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  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 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: 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
  31. 31.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar goes to the park. What can you say about “Omkar does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira gets a medal. What can you say about “Ira wins the match”? (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 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 Neel finishes the homework, then Neel goes to the park. Fact: Neel does not finish the homework. What can you say about “Neel goes to the park”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.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
  37. 37.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 does not get water”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan gets a medal. What can you say about “Rohan wins the match”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha does not score above 90. What can you say about “Aisha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Isha buys milk. Fact: The shop is open. What can you say about “Isha buys milk”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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