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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 215 · 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 the shop is open, then Kavya buys milk. Fact: The shop is not open. What can you say about “Kavya buys milk”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya does not score above 90. What can you say about “Diya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya gets a medal. What can you say about “Ananya wins the match”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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 scores above 90”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha does not score above 90. What can you say about “Nisha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira does not go to the park. What can you say about “Ira finishes the homework”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If the shop is open, then Siddharth buys milk. Fact: The shop is open. What can you say about “Siddharth does not buy milk”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is not open. What can you say about “Vivaan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya 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
  13. 13.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya finishes the homework. What can you say about “Aditya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir does not get a gold star. What can you say about “Kabir scores above 90”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya goes to the park. What can you say about “Aditya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  17. 17.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 does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya wins the match. What can you say about “Diya gets a medal”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.Rule: If the shop is open, then Kabir buys milk. Fact: Kabir 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
  21. 21.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
  22. 22.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya 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 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
  24. 24.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
  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 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
  27. 27.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash does not get a gold star. What can you say about “Yash does not score above 90”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.Rule: If the shop is open, then Farhan buys milk. Fact: The shop is not open. What can you say about “Farhan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.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
  33. 33.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
  34. 34.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
  35. 35.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
  36. 36.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
  37. 37.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar does not go to the park. What can you say about “Omkar does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is not open. What can you say about “Aditya buys milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If the shop is open, then Diya buys milk. Fact: The shop is not open. What can you say about “Diya buys milk”? (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. can't tell
  5. can't tell
  6. must be false
  7. must be false
  8. can't tell
  9. must be false
  10. must be false
  11. can't tell
  12. must be true
  13. must be false
  14. must be false
  15. must be false
  16. can't tell
  17. can't tell
  18. must be true
  19. must be false
  20. must be false
  21. must be true
  22. can't tell
  23. must be false
  24. can't tell
  25. can't tell
  26. must be true
  27. must be true
  28. must be false
  29. can't tell
  30. must be true
  31. can't tell
  32. can't tell
  33. can't tell
  34. can't tell
  35. must be true
  36. must be false
  37. must be true
  38. can't tell
  39. can't tell
  40. can't tell

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