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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 456 · 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 Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not finish the homework. What can you say about “Ananya goes to the park”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan goes to the park. What can you say about “Farhan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If the shop is open, then Pooja buys milk. Fact: Pooja buys milk. What can you say about “The shop is not open”? (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 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
  5. 5.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not finish the homework. What can you say about “Arjun goes to the park”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.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
  10. 10.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
  11. 11.Rule: If the shop is open, then Meera buys milk. Fact: The shop is open. What can you say about “Meera buys milk”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan gets a medal. What can you say about “Rohan wins the match”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan does not score above 90. What can you say about “Vivaan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun wins the match. What can you say about “Arjun gets a medal”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya scores above 90. What can you say about “Zoya does not get a gold star”? (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: 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
  17. 17.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
  18. 18.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan does not win the match. What can you say about “Ishaan does not get a medal”? (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 Manav finishes the homework, then Manav goes to the park. Fact: Manav goes to the park. What can you say about “Manav does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.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
  23. 23.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
  24. 24.Rule: If the shop is open, then Zoya buys milk. Fact: Zoya buys 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 Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi goes to the park. What can you say about “Saanvi does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya gets a medal. What can you say about “Ananya does not win the match”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha does not score above 90. What can you say about “Aisha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.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
  33. 33.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
  34. 34.Rule: If Riya scores above 90, then Riya gets a gold star. Fact: Riya does not score above 90. What can you say about “Riya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If the shop is open, then Dev buys milk. Fact: The shop is open. What can you say about “Dev buys milk”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.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
  39. 39.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera goes to the park. What can you say about “Meera finishes the homework”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is open. What can you say about “Zoya does not buy milk”? (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. can't tell
  5. can't tell
  6. can't tell
  7. must be false
  8. can't tell
  9. can't tell
  10. must be false
  11. must be true
  12. can't tell
  13. can't tell
  14. must be true
  15. must be false
  16. can't tell
  17. must be true
  18. can't tell
  19. can't tell
  20. can't tell
  21. can't tell
  22. must be true
  23. must be true
  24. can't tell
  25. can't tell
  26. must be true
  27. can't tell
  28. must be true
  29. can't tell
  30. can't tell
  31. must be true
  32. must be true
  33. must be true
  34. can't tell
  35. can't tell
  36. must be true
  37. must be false
  38. can't tell
  39. can't tell
  40. must be false

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