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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 196 · 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 shop is open, then Rahul buys milk. Fact: Rahul 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
  2. 2.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
  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 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
  5. 5.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
  6. 6.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
  7. 7.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
  8. 8.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
  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 shop is open, then Myra buys milk. Fact: The shop is open. What can you say about “Myra buys milk”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan does not win the match. What can you say about “Karan does not get a medal”? (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 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 Pooja wins the match, then Pooja gets a medal. Fact: Pooja does not win the match. What can you say about “Pooja gets a medal”? (a) must be true (b) must be false (c) can't tell
  15. 15.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 goes to the park”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha gets a medal. What can you say about “Nisha wins the match”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If the shop is open, then Farhan buys milk. Fact: The shop is open. What can you say about “Farhan buys milk”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha finishes the homework. What can you say about “Isha goes to the park”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya gets a medal. What can you say about “Ananya wins the match”? (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 does not get water”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan scores above 90. What can you say about “Farhan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If the shop is open, then Dev buys milk. Fact: The shop is not open. What can you say about “Dev does not buy milk”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan goes to the park. What can you say about “Ishaan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell does not ring”? (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 class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav scores above 90. What can you say about “Manav gets a gold star”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev does not go to the park. What can you say about “Dev does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Kabir buys milk. Fact: Kabir 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
  32. 32.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash does not get a medal. What can you say about “Yash wins the match”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha goes to the park. What can you say about “Isha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi finishes the homework. What can you say about “Saanvi does not go to the park”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan goes to the park. What can you say about “Vivaan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth finishes the homework. What can you say about “Siddharth goes to the park”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera does not get a gold star. What can you say about “Meera does not score above 90”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir does not finish the homework. What can you say about “Kabir goes to the park”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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