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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 151 · 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 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
  2. 2.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
  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 stays green”? (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 does not get water”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.Rule: If the shop is open, then Siddharth buys milk. Fact: Siddharth buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.Rule: If the shop is open, then Manav buys milk. Fact: Manav buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.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
  11. 11.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha gets a gold star. What can you say about “Isha does not score above 90”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan wins the match. What can you say about “Rohan gets a medal”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If the shop is open, then Priya buys milk. Fact: The shop is open. What can you say about “Priya does not buy milk”? (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: 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
  16. 16.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
  17. 17.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
  18. 18.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya wins the match. What can you say about “Ananya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.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
  21. 21.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira does not score above 90. What can you say about “Ira does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Ananya scores above 90, then Ananya gets a gold star. Fact: Ananya scores above 90. What can you say about “Ananya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  23. 23.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 does not get water”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan gets a medal. What can you say about “Ishaan wins the match”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If the shop is open, then Aisha buys milk. Fact: Aisha buys milk. What can you say about “The shop is open”? (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 not 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 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 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
  30. 30.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan finishes the homework. What can you say about “Vivaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav finishes the homework. What can you say about “Aarav does not go to the park”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.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
  34. 34.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya does not finish the homework. What can you say about “Aditya goes to the park”? (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 class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja scores above 90. What can you say about “Pooja gets a gold star”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan finishes 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
  38. 38.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
  39. 39.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha gets a gold star. What can you say about “Nisha scores above 90”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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