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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 633 · 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 does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.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
  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 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
  6. 6.Rule: If the shop is open, then Ishaan buys milk. Fact: The shop is not open. What can you say about “Ishaan buys milk”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev scores above 90. What can you say about “Dev does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra finishes the homework. What can you say about “Myra goes to the park”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev gets a medal. What can you say about “Dev wins the match”? (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: 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
  12. 12.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 does not go to the park”? (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 starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera does not get 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
  15. 15.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha wins the match. What can you say about “Nisha does not get a medal”? (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 closed”? (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 Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth does not get a gold star. What can you say about “Siddharth scores above 90”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is open. What can you say about “Arjun does not buy milk”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan wins the match. What can you say about “Farhan gets a medal”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi goes to the park. What can you say about “Saanvi does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara does not finish the homework. What can you say about “Tara goes to the park”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the shop is open, then Rahul buys milk. Fact: Rahul buys milk. What can you say about “The shop is open”? (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 does not start”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If the shop is open, then Rohan buys milk. Fact: Rohan 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
  26. 26.Rule: If the shop is open, then Diya buys milk. Fact: The shop is open. What can you say about “Diya buys milk”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar does not finish the homework. What can you say about “Omkar does not go to the park”? (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 traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara does not finish the homework. What can you say about “Tara does not go to the park”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir finishes the homework. What can you say about “Kabir goes to the park”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If the shop is open, then Kabir buys milk. Fact: Kabir 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
  35. 35.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
  36. 36.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha gets a medal. What can you say about “Isha does not win the match”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If the shop is open, then Kavya buys milk. Fact: Kavya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the shop is open, then Priya buys milk. Fact: The shop is open. What can you say about “Priya buys milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan scores above 90. What can you say about “Vivaan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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