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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 594 · 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 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
  2. 2.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not finish the homework. What can you say about “Manav does not go to the park”? (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 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
  4. 4.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
  5. 5.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
  6. 6.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya does not get a gold star. What can you say about “Aditya scores above 90”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is not open. What can you say about “Aditya buys milk”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If the shop is open, then Vivaan buys milk. Fact: Vivaan buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan scores above 90. What can you say about “Rohan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya scores above 90. What can you say about “Aditya gets a gold star”? (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 Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya finishes the homework. What can you say about “Zoya goes to the park”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If the shop is open, then Omkar buys milk. Fact: The shop is not open. What can you say about “Omkar buys milk”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If the shop is open, then Aisha buys milk. Fact: The shop is open. What can you say about “Aisha does not buy milk”? (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 stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.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
  20. 20.Rule: If the shop is open, then Siddharth buys milk. Fact: The shop is not open. What can you say about “Siddharth buys milk”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya does not go to the park. What can you say about “Priya does not finish the homework”? (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 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
  24. 24.Rule: If the shop is open, then Myra buys milk. Fact: Myra 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
  25. 25.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
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.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
  30. 30.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
  31. 31.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya gets a gold star. What can you say about “Diya scores above 90”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.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
  34. 34.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
  35. 35.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan finishes the homework. What can you say about “Vivaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan does not finish the homework. What can you say about “Ishaan does not go to the park”? (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 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
  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 Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan gets a gold star. What can you say about “Rohan scores above 90”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Rahul buys milk. Fact: Rahul buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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