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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 673 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan does not score above 90. What can you say about “Rohan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.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
  4. 4.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan does not win the match. What can you say about “Farhan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul goes to the park. What can you say about “Rahul finishes the homework”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel scores above 90. What can you say about “Neel does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the shop is open, then Ira buys milk. Fact: Ira 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
  8. 8.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
  9. 9.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
  10. 10.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
  11. 11.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
  12. 12.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha gets a medal. What can you say about “Isha wins the match”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun scores above 90. What can you say about “Arjun gets a gold star”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If the shop is open, then Pooja buys milk. Fact: The shop is not open. What can you say about “Pooja buys milk”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar scores above 90. What can you say about “Omkar gets a gold star”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth wins the match. What can you say about “Siddharth gets a medal”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira goes to the park. What can you say about “Ira finishes the homework”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.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
  22. 22.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
  23. 23.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
  24. 24.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
  25. 25.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha wins the match. What can you say about “Nisha gets a medal”? (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 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
  28. 28.Rule: If the shop is open, then Pooja buys milk. Fact: Pooja 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
  29. 29.Rule: If the shop is open, then Karan buys milk. Fact: The shop is open. What can you say about “Karan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan goes to the park. What can you say about “Rohan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan scores above 90. What can you say about “Vivaan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.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
  34. 34.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
  35. 35.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha does not get a medal. What can you say about “Sneha does not win the match”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If the shop is open, then Pooja buys milk. Fact: Pooja buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev gets a gold star. What can you say about “Dev scores above 90”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If the shop is open, then Ishaan buys milk. Fact: Ishaan buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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