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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 38 · 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 class starts. What can you say about “The bell does not ring”? (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 the shop is open, then Neel buys milk. Fact: The shop is not open. What can you say about “Neel buys milk”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.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 gets a gold star”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya goes to the park. What can you say about “Diya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the shop is open, then Vivaan buys milk. Fact: Vivaan 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 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
  9. 9.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
  10. 10.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
  11. 11.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
  12. 12.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira goes to the park. What can you say about “Ira finishes the homework”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan scores above 90. What can you say about “Ishaan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul does not get a medal. What can you say about “Rahul does not win the match”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya does not win the match. What can you say about “Kavya gets 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: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If the shop is open, then Kabir buys milk. Fact: Kabir buys 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 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
  19. 19.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir wins the match. What can you say about “Kabir gets a medal”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the shop is open, then Kavya buys milk. Fact: Kavya 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
  21. 21.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
  22. 22.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is not open. What can you say about “Aarav buys milk”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja wins the match. What can you say about “Pooja gets a medal”? (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 class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If the shop is open, then Isha buys milk. Fact: Isha buys 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 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
  27. 27.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
  28. 28.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya does not win the match. What can you say about “Riya gets a medal”? (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 Tara finishes the homework, then Tara goes to the park. Fact: Tara finishes the homework. What can you say about “Tara goes to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Siddharth buys milk. Fact: The shop is open. What can you say about “Siddharth does not buy milk”? (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 does not get wet”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan does not get a medal. What can you say about “Ishaan does not win the match”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.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
  36. 36.Rule: If the shop is open, then Ishaan buys milk. Fact: The shop is open. What can you say about “Ishaan does not buy milk”? (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 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
  38. 38.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha does not get a medal. What can you say about “Isha wins the match”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan does not score above 90. What can you say about “Rohan gets a gold star”? (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. can't tell
  8. can't tell
  9. must be false
  10. can't tell
  11. must be false
  12. can't tell
  13. must be true
  14. must be true
  15. can't tell
  16. can't tell
  17. can't tell
  18. must be true
  19. must be true
  20. must be true
  21. must be true
  22. can't tell
  23. must be true
  24. must be false
  25. can't tell
  26. must be false
  27. can't tell
  28. can't tell
  29. can't tell
  30. must be true
  31. must be false
  32. can't tell
  33. must be true
  34. can't tell
  35. must be false
  36. must be false
  37. must be true
  38. must be false
  39. must be true
  40. can't tell

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