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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 648 · 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 Myra wins the match, then Myra gets a medal. Fact: Myra does not get a medal. What can you say about “Myra does not win the match”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera does not win the match. What can you say about “Meera gets a medal”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul does not score above 90. What can you say about “Rahul does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul does not score above 90. What can you say about “Rahul gets a gold star”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If the shop is open, then Farhan buys milk. Fact: The shop is open. What can you say about “Farhan buys milk”? (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: 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
  8. 8.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
  9. 9.Rule: If the shop is open, then Kavya buys milk. Fact: The shop is open. What can you say about “Kavya buys milk”? (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 Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not get a medal. What can you say about “Arjun does not win the match”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.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
  14. 14.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya finishes the homework. What can you say about “Aditya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya gets a gold star. What can you say about “Kavya does not score above 90”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha does not go to the park. What can you say about “Sneha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.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
  20. 20.Rule: If the shop is open, then Myra buys milk. Fact: Myra buys 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 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
  22. 22.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
  23. 23.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan does not finish the homework. What can you say about “Vivaan does not go to the park”? (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 bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.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
  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 does not stay green”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not win the match. What can you say about “Arjun does not get a medal”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If the shop is open, then Myra buys milk. Fact: The shop is not open. What can you say about “Myra buys milk”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not get a medal. What can you say about “Siddharth does not win the match”? (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 red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar does not get a medal. What can you say about “Omkar wins the match”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel wins the match. What can you say about “Neel does not get a medal”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.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
  36. 36.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira does not score above 90. What can you say about “Ira does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If the shop is open, then Myra buys milk. Fact: The shop is not open. What can you say about “Myra does not buy milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not win the match. What can you say about “Vivaan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha finishes the homework. What can you say about “Nisha does not go to the park”? (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 stays green”? (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. can't tell
  5. can't tell
  6. must be true
  7. must be true
  8. can't tell
  9. must be true
  10. can't tell
  11. must be true
  12. must be false
  13. can't tell
  14. must be false
  15. can't tell
  16. can't tell
  17. must be false
  18. must be false
  19. must be true
  20. can't tell
  21. must be true
  22. can't tell
  23. can't tell
  24. must be true
  25. can't tell
  26. must be true
  27. can't tell
  28. can't tell
  29. can't tell
  30. must be true
  31. must be true
  32. must be false
  33. must be false
  34. must be false
  35. can't tell
  36. can't tell
  37. can't tell
  38. can't tell
  39. must be false
  40. can't tell

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