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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 595 · 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 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
  2. 2.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja gets a gold star. What can you say about “Pooja scores above 90”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is open. What can you say about “Aditya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If the shop is open, then Pooja buys milk. Fact: The shop is not open. What can you say about “Pooja does not buy milk”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.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
  7. 7.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not win the match. What can you say about “Siddharth gets a medal”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is not open. What can you say about “Kabir buys milk”? (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 not 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 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
  11. 11.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
  12. 12.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
  13. 13.Rule: If the shop is open, then Tara buys milk. Fact: Tara buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.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
  19. 19.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya does not score above 90. What can you say about “Zoya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.Rule: If Myra scores above 90, then Myra gets a gold star. Fact: Myra does not score above 90. What can you say about “Myra gets a gold star”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If the shop is open, then Meera buys milk. Fact: The shop is not open. What can you say about “Meera does not buy milk”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira gets a medal. What can you say about “Ira does not win the match”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel gets a gold star. What can you say about “Neel scores above 90”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev does not get a gold star. What can you say about “Dev does not score above 90”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan goes to the park. What can you say about “Farhan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja scores above 90. What can you say about “Pooja does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.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
  30. 30.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya finishes the homework. What can you say about “Priya 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 Rohan buys milk. Fact: Rohan buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If the shop is open, then Dev buys milk. Fact: Dev buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara finishes the homework. What can you say about “Tara does not go to the park”? (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 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
  36. 36.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja does not get a medal. What can you say about “Pooja wins the match”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash finishes the homework. What can you say about “Yash does not go to the park”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir scores above 90. What can you say about “Kabir does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan finishes the homework. What can you say about “Karan goes to the park”? (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 bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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