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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 297 · 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 Aisha wins the match, then Aisha gets a medal. Fact: Aisha wins the match. What can you say about “Aisha does not get a medal”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan finishes the homework. What can you say about “Ishaan goes to the park”? (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 gets wet”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.Rule: If Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi gets a gold star. What can you say about “Saanvi does not score above 90”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan scores above 90. What can you say about “Rohan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya does not score above 90. What can you say about “Priya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra goes to the park. What can you say about “Myra does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul goes to the park. What can you say about “Rahul does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya does not finish the homework. What can you say about “Zoya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.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
  17. 17.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
  18. 18.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha does not score above 90. What can you say about “Isha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.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
  21. 21.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
  22. 22.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
  23. 23.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
  24. 24.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
  25. 25.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya goes to the park. What can you say about “Priya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira gets a gold star. What can you say about “Ira scores above 90”? (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 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
  28. 28.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
  29. 29.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya gets a gold star. What can you say about “Zoya does not score above 90”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya goes to the park. What can you say about “Ananya 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 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
  32. 32.Rule: If Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha scores above 90. What can you say about “Sneha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya does not get a medal. What can you say about “Diya does not win the match”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya does not get a medal. What can you say about “Riya does not win the match”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If the shop is open, then Yash buys milk. Fact: The shop is open. What can you say about “Yash buys milk”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi goes to the park. What can you say about “Saanvi finishes the homework”? (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 stays green. What can you say about “The plant gets water”? (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 the shop is open, then Dev buys milk. Fact: The shop is open. What can you say about “Dev does not buy milk”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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