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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 490 · 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.

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  1. 1.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
  2. 2.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan gets a gold star. What can you say about “Vivaan scores above 90”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is not open. What can you say about “Kabir does not buy milk”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.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
  6. 6.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (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 get a medal. What can you say about “Siddharth wins the match”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is open. What can you say about “Aarav 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: 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
  10. 10.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav scores above 90. What can you say about “Aarav does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is open. What can you say about “Ananya buys milk”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  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 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
  16. 16.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir finishes the homework. What can you say about “Kabir goes to the park”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan does not get a gold star. What can you say about “Vivaan scores above 90”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan does not finish the homework. What can you say about “Farhan 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 Saanvi buys milk. Fact: The shop is not open. What can you say about “Saanvi buys milk”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.Rule: If the shop is open, then Yash buys milk. Fact: The shop is not open. What can you say about “Yash buys milk”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.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
  25. 25.Rule: If the shop is open, then Rohan buys milk. Fact: Rohan 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
  26. 26.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
  27. 27.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan scores above 90. What can you say about “Karan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar does not get a medal. What can you say about “Omkar does not win the match”? (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 does not rain. 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 Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan wins 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 the shop is open, then Myra buys milk. Fact: The shop is open. What can you say about “Myra buys milk”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir does not get a medal. What can you say about “Kabir does not win the match”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul wins the match. What can you say about “Rahul does not get a medal”? (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 bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If the shop is open, then Omkar buys milk. Fact: Omkar 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
  37. 37.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
  38. 38.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
  39. 39.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev does not go to the park. What can you say about “Dev finishes the homework”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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