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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 730 · 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 shop is open, then Vivaan buys milk. Fact: The shop is open. What can you say about “Vivaan buys milk”? (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 get water. What can you say about “The plant stays green”? (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 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 Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya does not score above 90. What can you say about “Aditya does not get a gold star”? (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 not 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 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
  7. 7.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
  8. 8.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya scores above 90. What can you say about “Kavya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera finishes the homework. What can you say about “Meera does not go to the park”? (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 Yash finishes the homework, then Yash goes to the park. Fact: Yash goes to the park. What can you say about “Yash does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.Rule: If the shop is open, then Ishaan buys milk. Fact: Ishaan 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 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
  15. 15.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
  16. 16.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
  17. 17.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
  18. 18.Rule: If Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha does not score above 90. What can you say about “Sneha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi goes to the park. What can you say about “Saanvi does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If the shop is open, then Ishaan buys milk. Fact: Ishaan buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If the shop is open, then Riya buys milk. Fact: The shop is open. What can you say about “Riya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the shop is open, then Neel buys milk. Fact: Neel 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 Saanvi buys milk. Fact: The shop is not open. What can you say about “Saanvi buys milk”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan wins the match. What can you say about “Karan gets a medal”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan goes to the park. What can you say about “Farhan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira scores above 90. What can you say about “Ira gets a gold star”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.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
  30. 30.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
  31. 31.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya gets a medal. What can you say about “Riya does not win the match”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara goes to the park. What can you say about “Tara does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan does not finish the homework. What can you say about “Rohan goes to the park”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.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
  36. 36.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
  37. 37.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha gets a medal. What can you say about “Nisha wins the match”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.Rule: If the shop is open, then Isha buys milk. Fact: Isha 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
  40. 40.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya goes to the park. What can you say about “Riya does not finish the homework”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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