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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 315 · 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 Dev buys milk. Fact: Dev buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya goes to the park. What can you say about “Zoya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.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
  5. 5.Rule: If the shop is open, then Ira buys milk. Fact: The shop is open. What can you say about “Ira does not buy milk”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan gets a gold star. What can you say about “Karan scores above 90”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan does not finish the homework. What can you say about “Rohan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  8. 8.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
  9. 9.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is open. What can you say about “Zoya buys milk”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.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
  12. 12.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
  13. 13.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
  14. 14.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
  15. 15.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
  16. 16.Rule: If the shop is open, then Pooja buys milk. Fact: The shop is open. What can you say about “Pooja buys milk”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If the shop is open, then Kavya buys milk. Fact: The shop is not open. What can you say about “Kavya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra does not finish the homework. What can you say about “Myra goes to the park”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha does not get a medal. What can you say about “Sneha does not win the match”? (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 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
  22. 22.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
  23. 23.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya does not win the match. What can you say about “Diya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.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
  26. 26.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
  27. 27.Rule: If the shop is open, then Priya buys milk. Fact: Priya 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
  28. 28.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
  29. 29.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya does not win the match. What can you say about “Ananya gets a medal”? (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: 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
  31. 31.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha wins the match. What can you say about “Nisha gets a medal”? (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 class starts. What can you say about “The bell does not ring”? (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 gets 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 the shop is open, then Myra buys milk. Fact: The shop is not open. What can you say about “Myra does not buy milk”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.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
  37. 37.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
  38. 38.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
  39. 39.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev does not score above 90. What can you say about “Dev gets a gold star”? (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 not red”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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