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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 617 · 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 Isha wins the match, then Isha gets a medal. Fact: Isha does not win the match. What can you say about “Isha does not get a medal”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya finishes the homework. What can you say about “Aditya goes to the park”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If Myra scores above 90, then Myra gets a gold star. Fact: Myra gets a gold star. What can you say about “Myra does not score above 90”? (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 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
  7. 7.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan does not score above 90. What can you say about “Ishaan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha does not win the match. What can you say about “Nisha gets a medal”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If the shop is open, then Manav buys milk. Fact: The shop is not open. What can you say about “Manav buys milk”? (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 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
  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 not red”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the shop is open, then Omkar buys milk. Fact: Omkar buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya does not get 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
  15. 15.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
  16. 16.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
  17. 17.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 does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul scores above 90. What can you say about “Rahul does not get a gold star”? (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 does not rain”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the shop is open, then Rohan buys milk. Fact: The shop is not open. What can you say about “Rohan buys milk”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan gets a medal. What can you say about “Farhan wins the match”? (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 does not ring. What can you say about “The class starts”? (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 stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Nisha buys milk. Fact: Nisha buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul does not get a gold star. What can you say about “Rahul does not score above 90”? (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 Isha scores above 90, then Isha gets a gold star. Fact: Isha scores above 90. What can you say about “Isha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera scores above 90. What can you say about “Meera gets a gold star”? (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 not Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.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
  34. 34.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan wins the match. What can you say about “Farhan gets a medal”? (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 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 Yash wins the match, then Yash gets a medal. Fact: Yash gets a medal. What can you say about “Yash wins the match”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya does not finish the homework. What can you say about “Priya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth does not go to the park. What can you say about “Siddharth does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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