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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 416 · 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 Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth wins the match. What can you say about “Siddharth does not get a medal”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.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
  4. 4.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan gets a medal. What can you say about “Vivaan does not win the match”? (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 rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth scores above 90. What can you say about “Siddharth does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.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
  9. 9.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
  10. 10.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
  11. 11.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
  12. 12.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya does not score above 90. What can you say about “Diya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya gets a gold star. What can you say about “Zoya scores above 90”? (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 stays green”? (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 shop is open, then Ira buys milk. Fact: Ira 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
  18. 18.Rule: If the shop is open, then Yash buys milk. Fact: The shop is open. What can you say about “Yash does not buy milk”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha does not go to the park. What can you say about “Isha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha scores above 90. What can you say about “Nisha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If the shop is open, then Saanvi buys milk. Fact: Saanvi 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
  23. 23.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
  24. 24.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun scores above 90. What can you say about “Arjun gets a gold star”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.Rule: If the shop is open, then Riya buys milk. Fact: Riya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not go to the park. What can you say about “Aisha finishes the homework”? (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 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
  30. 30.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not finish the homework. What can you say about “Yash goes to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav does not score above 90. What can you say about “Aarav does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav finishes the homework. What can you say about “Manav does not go to the park”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If the shop is open, then Neel buys milk. Fact: The shop is open. What can you say about “Neel buys milk”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.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
  36. 36.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
  37. 37.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara gets a medal. What can you say about “Tara does not win the match”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera gets a medal. What can you say about “Meera does not win the match”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.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

Answer key

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

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