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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 194 · 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 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
  2. 2.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev does not get a medal. What can you say about “Dev wins the match”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not win the match. What can you say about “Vivaan gets a medal”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.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
  7. 7.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya does not get a gold star. What can you say about “Kavya scores above 90”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If the shop is open, then Priya buys milk. Fact: The shop is not open. What can you say about “Priya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi does not finish the homework. What can you say about “Saanvi does not go to the park”? (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 stop”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the shop is open, then Rohan buys milk. Fact: The shop is not open. What can you say about “Rohan does not buy milk”? (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 not closed. What can you say about “It is Sunday”? (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: It is Sunday. What can you say about “The school is closed”? (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 gets 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 the shop is open, then Dev buys milk. Fact: The shop is not open. What can you say about “Dev does not buy milk”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha does not finish the homework. What can you say about “Nisha goes to the park”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If the shop is open, then Manav buys milk. Fact: The shop is open. What can you say about “Manav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.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
  21. 21.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan gets a medal. What can you say about “Ishaan wins the match”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul finishes the homework. What can you say about “Rahul goes to the park”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya wins the match. What can you say about “Zoya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar wins the match. What can you say about “Omkar gets a medal”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav scores above 90. What can you say about “Aarav gets a gold star”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya finishes the homework. What can you say about “Riya goes to the park”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.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
  32. 32.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
  33. 33.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar does not win the match. What can you say about “Omkar does not get a medal”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav goes to the park. What can you say about “Manav finishes the homework”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya scores above 90. What can you say about “Priya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi does not get a medal. What can you say about “Saanvi wins the match”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.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
  39. 39.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha does not get a gold star. What can you say about “Isha scores above 90”? (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 does not stay green”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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