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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 651 · 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 Aarav wins the match, then Aarav gets a medal. Fact: Aarav gets a medal. What can you say about “Aarav wins the match”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If the shop is open, then Riya buys milk. Fact: The shop is open. What can you say about “Riya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan gets a medal. What can you say about “Ishaan does not win the match”? (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 closed”? (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 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
  6. 6.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir does not get a gold star. What can you say about “Kabir scores above 90”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun finishes the homework. What can you say about “Arjun goes to the park”? (a) must be true (b) must be false (c) can't tell
  8. 8.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
  9. 9.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
  10. 10.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash does not get a medal. What can you say about “Yash wins the match”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.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
  13. 13.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
  14. 14.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha does not get a medal. What can you say about “Isha does not win the match”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.Rule: If Pooja finishes the homework, then Pooja goes to the park. Fact: Pooja does not finish the homework. What can you say about “Pooja goes to the park”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.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 does not get 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 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
  20. 20.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth finishes the homework. What can you say about “Siddharth goes to the park”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If the shop is open, then Kavya buys milk. Fact: The shop is not open. What can you say about “Kavya buys milk”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav scores above 90. What can you say about “Manav gets a gold star”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun does not score above 90. What can you say about “Arjun does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera does not get a medal. What can you say about “Meera wins the match”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If the shop is open, then Vivaan buys milk. Fact: Vivaan 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
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha wins the match. What can you say about “Nisha does not get a medal”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.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
  32. 32.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
  33. 33.Rule: If the shop is open, then Zoya buys milk. Fact: Zoya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  34. 34.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 does not go to the park”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not finish the homework. What can you say about “Ananya goes to the park”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya finishes the homework. What can you say about “Priya goes to the park”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If the shop is open, then Omkar buys milk. Fact: The shop is open. What can you say about “Omkar buys milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara goes to the park. What can you say about “Tara does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Ira buys milk. Fact: Ira 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

Answer key

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

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