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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 301 · 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 Rohan wins the match, then Rohan gets a medal. Fact: Rohan does not get a medal. What can you say about “Rohan does not win the match”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not finish the homework. What can you say about “Aarav goes to the park”? (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 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
  5. 5.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
  6. 6.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
  7. 7.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
  8. 8.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan does not win the match. What can you say about “Ishaan gets a medal”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha finishes the homework. What can you say about “Aisha goes to the park”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash scores above 90. What can you say about “Yash does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya does not finish the homework. What can you say about “Riya 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 bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.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 does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan 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
  17. 17.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
  18. 18.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
  19. 19.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
  20. 20.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
  21. 21.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
  22. 22.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
  23. 23.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya does not win the match. What can you say about “Ananya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan gets a medal. What can you say about “Rohan does not win the match”? (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 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
  29. 29.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
  30. 30.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
  31. 31.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
  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 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
  34. 34.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
  35. 35.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
  36. 36.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 does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is not open. What can you say about “Aditya buys milk”? (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 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
  40. 40.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir does not score above 90. What can you say about “Kabir gets a gold star”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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