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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 565 · 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 Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya finishes 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
  2. 2.Rule: If the shop is open, then Neel buys milk. Fact: The shop is not open. What can you say about “Neel buys milk”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya gets a medal. What can you say about “Diya does not win the match”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan scores above 90. What can you say about “Rohan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir wins the match. What can you say about “Kabir does not get a medal”? (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: 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
  9. 9.Rule: If the shop is open, then Tara buys milk. Fact: The shop is open. What can you say about “Tara buys milk”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  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 Riya wins the match, then Riya gets a medal. Fact: Riya wins the match. What can you say about “Riya 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 Sunday”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If the shop is open, then Manav buys milk. Fact: The shop is not open. What can you say about “Manav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha goes to the park. What can you say about “Aisha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul gets a medal. What can you say about “Rahul wins the match”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya goes to the park. What can you say about “Riya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan does not go to the park. What can you say about “Rohan finishes the homework”? (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 finishes the homework. What can you say about “Ira goes to the park”? (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 shop is open, then Kavya buys milk. Fact: Kavya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan wins the match. What can you say about “Rohan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Neel buys milk. Fact: Neel 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
  25. 25.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not go to the park. What can you say about “Yash finishes the homework”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul does not go to the park. What can you say about “Rahul does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.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 does not get a gold star”? (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 stays green”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Ishaan buys milk. Fact: Ishaan 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
  32. 32.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan gets a medal. What can you say about “Vivaan wins the match”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan does not go to the park. What can you say about “Farhan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth does not finish the homework. What can you say about “Siddharth goes to the park”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the shop is open, then Ishaan buys milk. Fact: Ishaan buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan scores above 90. What can you say about “Farhan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya does not go to the park. What can you say about “Riya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel gets a medal. What can you say about “Neel does not win the match”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

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 true
  7. must be false
  8. can't tell
  9. must be true
  10. must be true
  11. can't tell
  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. must be false
  19. must be true
  20. can't tell
  21. must be true
  22. can't tell
  23. must be false
  24. must be true
  25. must be false
  26. must be true
  27. can't tell
  28. can't tell
  29. can't tell
  30. can't tell
  31. must be true
  32. can't tell
  33. must be false
  34. can't tell
  35. can't tell
  36. must be true
  37. can't tell
  38. must be false
  39. can't tell
  40. must be false

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