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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 606 · 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 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
  2. 2.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera scores above 90. What can you say about “Meera gets a gold star”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara does not get a medal. What can you say about “Tara does not win the match”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi does not score above 90. What can you say about “Saanvi does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.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
  7. 7.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
  8. 8.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
  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 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
  11. 11.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul does not win the match. What can you say about “Rahul gets a medal”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya gets a gold star. What can you say about “Kavya scores above 90”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha goes to the park. What can you say about “Sneha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira finishes the homework. What can you say about “Ira does not go to the park”? (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 not Sunday”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is open. What can you say about “Arjun buys milk”? (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 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
  20. 20.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha does not get a medal. What can you say about “Sneha wins the match”? (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: 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
  22. 22.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
  23. 23.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav does not get a gold star. What can you say about “Aarav scores above 90”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya wins the match. What can you say about “Zoya gets a medal”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya gets a medal. What can you say about “Diya wins the match”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar wins 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
  28. 28.Rule: If the shop is open, then Siddharth buys milk. Fact: Siddharth buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is open. What can you say about “Nisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.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
  32. 32.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
  33. 33.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan goes to the park. What can you say about “Vivaan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan scores above 90. What can you say about “Vivaan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If the shop is open, then Pooja buys milk. Fact: The shop is not open. What can you say about “Pooja does not buy milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is not open. What can you say about “Arjun buys milk”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra does not finish the homework. What can you say about “Myra does not go to the park”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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