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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 544 · 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 Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth goes to the park. What can you say about “Siddharth does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir goes to the park. What can you say about “Kabir finishes the homework”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.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
  5. 5.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
  6. 6.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
  7. 7.Rule: If the shop is open, then Isha buys milk. Fact: Isha buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not get a medal. What can you say about “Vivaan does not win the match”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.Rule: If the shop is open, then Neel buys milk. Fact: Neel 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
  11. 11.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
  12. 12.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha gets a gold star. What can you say about “Nisha scores above 90”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun gets 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
  15. 15.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
  16. 16.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan does not win the match. What can you say about “Farhan gets a medal”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If the shop is open, then Omkar buys milk. Fact: The shop is not open. What can you say about “Omkar does not buy milk”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.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
  20. 20.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
  21. 21.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi finishes the homework. What can you say about “Saanvi goes to the park”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If the shop is open, then Ananya buys milk. Fact: Ananya 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
  23. 23.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
  24. 24.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya does not finish the homework. What can you say about “Zoya goes to the park”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If the shop is open, then Ishaan buys milk. Fact: The shop is open. What can you say about “Ishaan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not win the match. What can you say about “Arjun gets a medal”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira goes to the park. What can you say about “Ira does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.Rule: If the shop is open, then Saanvi buys milk. Fact: The shop is open. What can you say about “Saanvi 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 does not ring”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  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 the shop is open, then Diya buys milk. Fact: The shop is open. What can you say about “Diya buys milk”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.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
  40. 40.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

Answer key

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

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