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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 682 · 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 Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan does not go to the park. What can you say about “Farhan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya scores above 90. What can you say about “Zoya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya does not get a gold star. What can you say about “Priya scores above 90”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar finishes the homework. What can you say about “Omkar does not go to the park”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan scores above 90. What can you say about “Karan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not go to the park. What can you say about “Aisha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.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
  13. 13.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash finishes the homework. What can you say about “Yash goes to the park”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel does not score above 90. What can you say about “Neel does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya finishes the homework. What can you say about “Diya goes to the park”? (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: 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
  18. 18.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
  19. 19.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is open. What can you say about “Aditya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha does not score above 90. What can you say about “Isha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha gets a gold star. What can you say about “Sneha scores above 90”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If the shop is open, then Sneha buys milk. Fact: The shop is open. What can you say about “Sneha buys milk”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Priya buys milk. Fact: The shop is not open. What can you say about “Priya does not buy milk”? (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 does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.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
  30. 30.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir goes to the park. What can you say about “Kabir finishes the homework”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.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
  33. 33.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
  34. 34.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
  35. 35.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha gets a gold star. What can you say about “Sneha does not score above 90”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.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
  39. 39.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
  40. 40.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

Answer key

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

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