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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 706 · 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 Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan does not score above 90. What can you say about “Ishaan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan gets a medal. What can you say about “Rohan does not win the match”? (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 Manav scores above 90, then Manav gets a gold star. Fact: Manav does not get a gold star. What can you say about “Manav scores above 90”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.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
  7. 7.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the shop is open, then Ishaan buys milk. Fact: The shop is open. What can you say about “Ishaan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya does not go to the park. What can you say about “Kavya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha does not go to the park. What can you say about “Isha does not finish the homework”? (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 stays green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.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
  14. 14.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan does not get a medal. What can you say about “Karan does not win the match”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya goes to the park. What can you say about “Diya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.Rule: If the shop is open, then Dev buys milk. Fact: Dev 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
  18. 18.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is open. What can you say about “Nisha buys milk”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the shop is open, then Rahul buys milk. Fact: Rahul buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha gets a gold star. What can you say about “Isha scores above 90”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not get a medal. What can you say about “Vivaan does not win 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 class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.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
  25. 25.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
  26. 26.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
  27. 27.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev wins the match. What can you say about “Dev does not get a medal”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya does not finish the homework. What can you say about “Kavya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya gets a medal. What can you say about “Riya wins the match”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not win the match. What can you say about “Vivaan gets a medal”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha wins the match. What can you say about “Aisha does not get a medal”? (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 stop”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira does not score above 90. What can you say about “Ira does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is not open. What can you say about “Aarav buys milk”? (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 starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav scores above 90. What can you say about “Aarav gets a gold star”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is open. What can you say about “Kabir buys milk”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

  1. can't tell
  2. can't tell
  3. can't tell
  4. must be false
  5. must be true
  6. must be false
  7. can't tell
  8. must be false
  9. must be false
  10. must be true
  11. can't tell
  12. must be false
  13. can't tell
  14. must be true
  15. can't tell
  16. must be false
  17. must be false
  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. can't tell
  26. must be true
  27. must be false
  28. can't tell
  29. can't tell
  30. can't tell
  31. must be false
  32. must be true
  33. can't tell
  34. must be true
  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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