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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 635 · 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 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
  2. 2.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan wins the match. What can you say about “Karan gets a medal”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth does not score above 90. What can you say about “Siddharth gets a gold star”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  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 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
  8. 8.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
  9. 9.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
  10. 10.Rule: If the shop is open, then Tara buys milk. Fact: The shop is open. What can you say about “Tara does not buy 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 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
  12. 12.Rule: If the shop is open, then Manav buys milk. Fact: The shop is open. What can you say about “Manav buys milk”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan does not go to the park. What can you say about “Vivaan does not finish the homework”? (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 gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan does not get a gold star. What can you say about “Karan scores above 90”? (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 Sunday”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan gets a medal. What can you say about “Vivaan wins the match”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the shop is open, then Myra buys milk. Fact: Myra buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.Rule: If the shop is open, then Siddharth buys milk. Fact: Siddharth buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya wins the match. What can you say about “Zoya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya finishes the homework. What can you say about “Priya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha gets a gold star. What can you say about “Aisha scores above 90”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya gets a gold star. What can you say about “Kavya scores above 90”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara does not go to the park. What can you say about “Tara does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel does not go to the park. What can you say about “Neel does not finish the homework”? (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 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
  32. 32.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel does not get a medal. What can you say about “Neel wins the match”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If Ananya scores above 90, then Ananya gets a gold star. Fact: Ananya gets a gold star. What can you say about “Ananya scores above 90”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is open. What can you say about “Aditya buys milk”? (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 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
  38. 38.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
  39. 39.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera finishes the homework. What can you say about “Meera does not go to the park”? (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 red”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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