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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 613 · 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 Pooja wins the match, then Pooja gets a medal. Fact: Pooja does not win the match. What can you say about “Pooja gets a medal”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If the shop is open, then Yash buys milk. Fact: Yash buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If the shop is open, then Nisha buys milk. Fact: Nisha buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.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
  6. 6.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
  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 Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan does not score above 90. What can you say about “Ishaan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If the shop is open, then Pooja buys milk. Fact: Pooja does not buy milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If the shop is open, then Vivaan buys milk. Fact: Vivaan buys milk. What can you say about “The shop is open”? (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 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
  12. 12.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
  13. 13.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
  14. 14.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not finish the homework. What can you say about “Yash does not go to the park”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.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
  17. 17.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
  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 Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya goes to the park. What can you say about “Zoya finishes the homework”? (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 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
  22. 22.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
  23. 23.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja wins the match. What can you say about “Pooja gets a medal”? (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 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
  25. 25.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
  26. 26.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
  27. 27.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya finishes the homework. What can you say about “Aditya goes to the park”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan finishes the homework. What can you say about “Farhan goes to the park”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha gets a gold star. What can you say about “Isha does not score above 90”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Myra wins the match, then Myra gets a medal. Fact: Myra wins the match. What can you say about “Myra does not get a medal”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Manav buys milk. Fact: The shop is open. What can you say about “Manav buys milk”? (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 class does not start. What can you say about “The bell rings”? (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 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
  34. 34.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan finishes the homework. What can you say about “Karan goes to the park”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya goes to the park. What can you say about “Riya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is open. What can you say about “Kabir does not buy milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan does not score above 90. What can you say about “Vivaan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If the shop is open, then Yash buys milk. Fact: Yash buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan goes to the park. What can you say about “Farhan finishes the homework”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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