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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 399 · 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 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
  2. 2.Rule: If the shop is open, then Zoya buys milk. Fact: Zoya 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
  3. 3.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya does not go to the park. What can you say about “Riya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan 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
  6. 6.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra goes to the park. What can you say about “Myra does not finish the homework”? (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 Meera finishes the homework, then Meera goes to the park. Fact: Meera does not go to the park. What can you say about “Meera does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.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
  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 the shop is open, then Nisha buys milk. Fact: Nisha 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 Pooja wins the match, then Pooja gets a medal. Fact: Pooja does not get a medal. What can you say about “Pooja does not win the match”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya gets a medal. What can you say about “Kavya does not win the match”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.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
  18. 18.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
  19. 19.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
  20. 20.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
  21. 21.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha does not win the match. What can you say about “Aisha gets a medal”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya scores above 90. What can you say about “Diya 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 Siddharth buys milk. Fact: The shop is not open. What can you say about “Siddharth does not buy milk”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is not open. What can you say about “Ananya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  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 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
  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 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
  31. 31.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera gets a gold star. What can you say about “Meera scores above 90”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya does not win the match. What can you say about “Ananya gets a medal”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera does not win the match. What can you say about “Meera does not get a medal”? (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 goes to the park. What can you say about “Vivaan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar does not go to the park. What can you say about “Omkar finishes the homework”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not go to the park. What can you say about “Karan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is not open. What can you say about “Ananya buys milk”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Rohan buys milk. Fact: Rohan buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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