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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 50 · 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 it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (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 starts”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha does not get a gold star. What can you say about “Isha does not score above 90”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan does not go to the park. What can you say about “Vivaan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha does not get a gold star. What can you say about “Aisha does not score above 90”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan does not get a medal. What can you say about “Farhan wins the match”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya does not win the match. What can you say about “Priya 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: 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
  14. 14.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
  15. 15.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav finishes the homework. What can you say about “Aarav does not go to the park”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is open. What can you say about “Aditya buys milk”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If the shop is open, then Saanvi buys milk. Fact: Saanvi does not buy milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan finishes the homework. What can you say about “Vivaan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the shop is open, then Rahul buys milk. Fact: The shop is open. What can you say about “Rahul buys milk”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya does not buy milk. What can you say about “The shop is open”? (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 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
  24. 24.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
  25. 25.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not finish the homework. What can you say about “Ananya goes to the park”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If the shop is open, then Myra buys milk. Fact: Myra does not buy milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If the shop is open, then Sneha buys milk. Fact: Sneha buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Myra scores above 90, then Myra gets a gold star. Fact: Myra gets a gold star. What can you say about “Myra scores above 90”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If the shop is open, then Kavya buys milk. Fact: Kavya 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 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
  31. 31.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
  32. 32.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
  33. 33.Rule: If Pooja finishes the homework, then Pooja goes to the park. Fact: Pooja finishes the homework. What can you say about “Pooja does not go to the park”? (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 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
  35. 35.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav goes to the park. What can you say about “Manav does not finish the homework”? (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 stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara does not win the match. What can you say about “Tara does not get a medal”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan finishes the homework. What can you say about “Rohan goes to the park”? (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 not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha does not get a medal. What can you say about “Aisha wins the match”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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