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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 172 · 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 Siddharth buys milk. Fact: The shop is open. What can you say about “Siddharth does not buy milk”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth does not score above 90. What can you say about “Siddharth gets a gold star”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan finishes the homework. What can you say about “Farhan goes to the park”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.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
  7. 7.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
  8. 8.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul does not go to the park. What can you say about “Rahul does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara scores above 90. What can you say about “Tara gets a gold star”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.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
  12. 12.Rule: If the shop is open, then Arjun buys milk. Fact: Arjun 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
  13. 13.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 not red”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If the shop is open, then Sneha buys milk. Fact: Sneha 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
  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 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
  18. 18.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
  19. 19.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
  20. 20.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (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 goes 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 Zoya wins the match, then Zoya gets a medal. Fact: Zoya gets a medal. What can you say about “Zoya does not win the match”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the shop is open, then Aisha buys milk. Fact: Aisha 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 Manav buys milk. Fact: The shop is not open. What can you say about “Manav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya gets a medal. What can you say about “Diya wins the match”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan finishes the homework. What can you say about “Rohan does not go to the park”? (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 gets a gold star. What can you say about “Ira scores above 90”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul does not score above 90. What can you say about “Rahul gets a gold star”? (a) must be true (b) must be false (c) can't tell
  29. 29.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 goes to the park”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya goes to the park. What can you say about “Aditya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.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
  33. 33.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan gets a medal. What can you say about “Vivaan wins the match”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.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
  36. 36.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja does not score above 90. What can you say about “Pooja does not get a gold star”? (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 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
  38. 38.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
  39. 39.Rule: If the shop is open, then Omkar buys milk. Fact: Omkar buys 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 Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya gets a gold star. What can you say about “Aditya scores above 90”? (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. must be true
  5. can't tell
  6. can't tell
  7. must be false
  8. must be true
  9. must be true
  10. can't tell
  11. can't tell
  12. must be true
  13. must be true
  14. can't tell
  15. must be false
  16. must be true
  17. must be false
  18. must be false
  19. can't tell
  20. must be true
  21. can't tell
  22. can't tell
  23. must be false
  24. can't tell
  25. can't tell
  26. must be false
  27. can't tell
  28. can't tell
  29. can't tell
  30. can't tell
  31. must be false
  32. must be false
  33. can't tell
  34. must be false
  35. can't tell
  36. can't tell
  37. must be true
  38. can't tell
  39. can't tell
  40. can't tell

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