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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 621 · 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 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
  2. 2.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha does not get a gold star. What can you say about “Nisha does not score above 90”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If the shop is open, then Priya buys milk. Fact: Priya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya goes to the park. What can you say about “Zoya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth finishes 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
  7. 7.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
  8. 8.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is open. What can you say about “Aarav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.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
  11. 11.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya does not get a medal. What can you say about “Kavya wins the match”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan gets a gold star. What can you say about “Vivaan scores above 90”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the shop is open, then Yash buys milk. Fact: Yash 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
  14. 14.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
  15. 15.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
  16. 16.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
  17. 17.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun finishes the homework. What can you say about “Arjun does not go to the park”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If the shop is open, then Arjun buys milk. Fact: Arjun buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha goes to the park. What can you say about “Nisha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.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
  22. 22.Rule: If the shop is open, then Vivaan buys milk. Fact: Vivaan buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan does not go to the park. What can you say about “Farhan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha does not finish the homework. What can you say about “Nisha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not finish the homework. What can you say about “Ananya goes to the park”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera does not get a medal. What can you say about “Meera wins the match”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If the shop is open, then Diya buys milk. Fact: The shop is not open. What can you say about “Diya does not buy 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: 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
  35. 35.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
  36. 36.Rule: If the shop is open, then Ira buys milk. Fact: The shop is open. What can you say about “Ira buys milk”? (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 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
  38. 38.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
  39. 39.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
  40. 40.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

Answer key

  1. must be true
  2. must be true
  3. can't tell
  4. can't tell
  5. can't tell
  6. must be false
  7. must be true
  8. must be false
  9. can't tell
  10. can't tell
  11. must be false
  12. can't tell
  13. must be true
  14. can't tell
  15. must be true
  16. must be false
  17. must be false
  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. must be false
  26. must be false
  27. can't tell
  28. must be false
  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. can't tell
  36. must be true
  37. can't tell
  38. can't tell
  39. can't tell
  40. can't tell

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