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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 118 · 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 Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan does not go to the park. What can you say about “Rohan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel does not win the match. What can you say about “Neel does not get a medal”? (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 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
  4. 4.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
  5. 5.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
  6. 6.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya gets a medal. What can you say about “Aditya wins the match”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the shop is open, then Saanvi buys milk. Fact: Saanvi buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the shop is open, then Neel buys milk. Fact: The shop is open. What can you say about “Neel does not buy milk”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If the shop is open, then Nisha buys milk. Fact: Nisha 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
  10. 10.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
  11. 11.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
  12. 12.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul does not finish the homework. What can you say about “Rahul goes to the park”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is not open. What can you say about “Arjun does not buy milk”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  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 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
  17. 17.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
  18. 18.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
  19. 19.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.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
  22. 22.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
  23. 23.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 goes to the park”? (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 traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel finishes the homework. What can you say about “Neel goes to the park”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is not open. What can you say about “Zoya 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 not red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel goes to the park. What can you say about “Neel finishes the homework”? (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 stay green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya gets a gold star. What can you say about “Diya does not score above 90”? (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 does not rain. What can you say about “The road gets 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: The shop is open. What can you say about “Karan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash goes to the park. What can you say about “Yash finishes the homework”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  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 Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth goes to the park. What can you say about “Siddharth finishes the homework”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not finish the homework. What can you say about “Arjun goes to the park”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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