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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 362 · 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 Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not finish the homework. What can you say about “Aisha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If the shop is open, then Tara buys milk. Fact: The shop is not open. What can you say about “Tara does not buy milk”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir wins the match. What can you say about “Kabir gets a medal”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya does not score above 90. What can you say about “Priya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth wins the match. What can you say about “Siddharth does not get a medal”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan gets a gold star. What can you say about “Rohan does not score above 90”? (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 gets 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 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
  10. 10.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
  11. 11.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
  12. 12.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
  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 red”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel does not finish the homework. What can you say about “Neel goes to the park”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.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
  17. 17.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar does not win the match. What can you say about “Omkar does not get a medal”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar goes to the park. What can you say about “Omkar does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is not open. What can you say about “Vivaan buys milk”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan does not go to the park. What can you say about “Rohan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not finish the homework. What can you say about “Karan does not go to the park”? (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 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
  25. 25.Rule: If the shop is open, then Siddharth buys milk. Fact: Siddharth buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera does not finish the homework. What can you say about “Meera goes to the park”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.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
  30. 30.Rule: If Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi does not get a gold star. What can you say about “Saanvi does not score above 90”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya wins the match. What can you say about “Aditya does not get a medal”? (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 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
  34. 34.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya goes to the park. What can you say about “Aditya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya goes to the park. What can you say about “Zoya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is open. What can you say about “Kabir buys milk”? (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 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 the shop is open, then Omkar buys milk. Fact: The shop is open. What can you say about “Omkar buys milk”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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