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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 710 · 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 Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha scores above 90. What can you say about “Sneha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.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
  4. 4.Rule: If the shop is open, then Arjun buys milk. Fact: Arjun 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 shop is open, then Neel buys milk. Fact: The shop is not open. What can you say about “Neel buys milk”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya finishes the homework. What can you say about “Priya goes to the park”? (a) must be true (b) must be false (c) can't tell
  8. 8.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
  9. 9.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash scores above 90. What can you say about “Yash does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.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
  12. 12.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
  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 gets water”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja gets a medal. What can you say about “Pooja does not win the match”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell rings”? (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 closed”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If the shop is open, then Aisha buys milk. Fact: The shop is not open. What can you say about “Aisha buys milk”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel wins the match. What can you say about “Neel gets a medal”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.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
  22. 22.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan goes to the park. What can you say about “Vivaan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.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
  25. 25.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev does not get a medal. What can you say about “Dev wins the match”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.Rule: If the shop is open, then Tara buys milk. Fact: Tara buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash does not win the match. What can you say about “Yash gets a medal”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Myra wins the match, then Myra gets a medal. Fact: Myra gets a medal. What can you say about “Myra does not win the match”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya gets a gold star. What can you say about “Priya does not score above 90”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If the shop is open, then Meera buys milk. Fact: Meera buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is open. What can you say about “Zoya buys milk”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If the shop is open, then Rohan buys milk. Fact: Rohan buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If the shop is open, then Ishaan buys milk. Fact: The shop is open. What can you say about “Ishaan buys milk”? (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: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha does not get a medal. What can you say about “Sneha does not win the match”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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