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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 583 · 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: 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
  2. 2.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar finishes the homework. What can you say about “Omkar goes to the park”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not finish the homework. What can you say about “Ananya goes to the park”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If the shop is open, then Isha buys milk. Fact: Isha buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.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 do not stop”? (a) must be true (b) must be false (c) can't tell
  10. 10.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 gets a gold star”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel scores above 90. What can you say about “Neel gets a gold star”? (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 does not start. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If the shop is open, then Karan buys milk. Fact: Karan 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
  16. 16.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
  17. 17.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
  18. 18.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
  19. 19.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira gets a gold star. What can you say about “Ira does not score above 90”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.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
  22. 22.Rule: If the shop is open, then Dev buys milk. Fact: The shop is not open. What can you say about “Dev buys milk”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth goes to the park. What can you say about “Siddharth does not finish the homework”? (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 bell does not ring. What can you say about “The class starts”? (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 class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If the shop is open, then Rohan buys milk. Fact: The shop is not open. What can you say about “Rohan buys milk”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.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
  30. 30.Rule: If the shop is open, then Ira buys milk. Fact: The shop is not open. What can you say about “Ira does not buy milk”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.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
  35. 35.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
  36. 36.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara gets a gold star. What can you say about “Tara scores above 90”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not finish the homework. What can you say about “Aisha goes to the park”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If the shop is open, then Myra buys milk. Fact: The shop is open. What can you say about “Myra does not buy milk”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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