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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 697 · 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 scores above 90, then Farhan gets a gold star. Fact: Farhan does not get a gold star. What can you say about “Farhan scores above 90”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  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 the shop is open, then Isha buys milk. Fact: Isha buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.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
  7. 7.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel does not win the match. What can you say about “Neel does not get a medal”? (a) must be true (b) must be false (c) can't tell
  8. 8.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
  9. 9.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
  10. 10.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
  11. 11.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
  12. 12.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 does not go to the park”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.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
  15. 15.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
  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 Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan does not win the match. What can you say about “Ishaan gets a medal”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya 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
  20. 20.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
  21. 21.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
  22. 22.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 does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the shop is open, then Nisha buys milk. Fact: Nisha 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 Siddharth buys milk. Fact: The shop is open. What can you say about “Siddharth buys milk”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav wins the match. What can you say about “Aarav gets a medal”? (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 bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha gets a gold star. What can you say about “Nisha scores above 90”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav gets a medal. What can you say about “Manav does not win the match”? (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 Myra finishes the homework, then Myra goes to the park. Fact: Myra does not go to the park. What can you say about “Myra finishes the homework”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not go 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
  33. 33.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
  34. 34.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul gets a gold star. What can you say about “Rahul does not score above 90”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan does not score 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
  36. 36.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
  37. 37.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
  38. 38.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya does not score above 90. What can you say about “Zoya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is not open. What can you say about “Arjun buys milk”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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