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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 167 · 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 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
  2. 2.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash wins the match. What can you say about “Yash gets a medal”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Pooja finishes the homework, then Pooja goes to the park. Fact: Pooja goes to the park. What can you say about “Pooja finishes the homework”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya scores above 90. What can you say about “Priya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.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
  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 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
  9. 9.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not get a medal. What can you say about “Arjun wins the match”? (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 traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If the shop is open, then Priya buys milk. Fact: The shop is open. What can you say about “Priya buys milk”? (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 buys 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 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 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
  15. 15.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
  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 gets water”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel wins 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
  20. 20.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
  21. 21.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira does not score above 90. What can you say about “Ira does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya gets a gold star. What can you say about “Diya scores above 90”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya scores above 90. What can you say about “Aditya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If the shop is open, then Myra buys milk. Fact: The shop is open. What can you say about “Myra does not buy milk”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.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
  28. 28.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun goes to the park. What can you say about “Arjun does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha does not win the match. What can you say about “Isha gets a medal”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra does not finish the homework. What can you say about “Myra goes to the park”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If the shop is open, then Sneha buys milk. Fact: The shop is not open. What can you say about “Sneha buys milk”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira does not win the match. What can you say about “Ira gets a medal”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is open. What can you say about “Nisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.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
  37. 37.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is not open. What can you say about “Nisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is open. What can you say about “Vivaan buys milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.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

Answer key

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

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