If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 54 · 40 questions

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.

1. 1.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
2. 2.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
3. 3.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
4. 4.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan 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
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 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
7. 7.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan does not get a gold star. What can you say about “Vivaan does not score above 90”? (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 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
10. 10.Rule: If the shop is open, then Rohan buys milk. Fact: Rohan 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 Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav gets a gold star. What can you say about “Aarav does not score above 90”? (a) must be true (b) must be false (c) can't tell
12. 12.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
13. 13.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
14. 14.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
15. 15.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
16. 16.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
17. 17.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
18. 18.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan goes to the park. What can you say about “Ishaan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
19. 19.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
20. 20.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
21. 21.Rule: If the shop is open, then Pooja buys milk. Fact: Pooja buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
22. 22.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira does not get a gold star. What can you say about “Ira scores above 90”? (a) must be true (b) must be false (c) can't tell
23. 23.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
24. 24.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
25. 25.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav gets a gold star. What can you say about “Manav scores above 90”? (a) must be true (b) must be false (c) can't tell
26. 26.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera scores above 90. What can you say about “Meera does not get a gold star”? (a) must be true (b) must be false (c) can't tell
27. 27.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav does not win the match. What can you say about “Aarav gets a medal”? (a) must be true (b) must be false (c) can't tell
28. 28.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara does not go to the park. What can you say about “Tara finishes the homework”? (a) must be true (b) must be false (c) can't tell
29. 29.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera gets a gold star. What can you say about “Meera does not score above 90”? (a) must be true (b) must be false (c) can't tell
30. 30.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha goes to the park. What can you say about “Nisha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
31. 31.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev gets a gold star. What can you say about “Dev scores above 90”? (a) must be true (b) must be false (c) can't tell
32. 32.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
33. 33.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
34. 34.Rule: If the shop is open, then Saanvi buys milk. Fact: Saanvi buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
35. 35.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya does not score above 90. What can you say about “Zoya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
36. 36.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash scores above 90. What can you say about “Yash 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 Karan buys milk. Fact: Karan 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 Sneha wins the match, then Sneha gets a medal. Fact: Sneha does not win the match. What can you say about “Sneha gets a medal”? (a) must be true (b) must be false (c) can't tell
39. 39.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
40. 40.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

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