Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 150 · 40 questions

How to think it through (Type, method, check): Name the type of question. Use that lesson’s method — draw it if you can. Check the answer against every clue before you move on.

1. 1.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
2. 2.Today is Thursday. What day of the week will it be 68 days from today? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
3. 3.The sum of three consecutive even numbers is 78. What is the largest of them?
4. 4.Statements: No caps are toys. No keys are caps. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
5. 5.I am a 2-digit number. My digits add up to 17. If you swap my two digits, the new number is 9 more than me. What number am I?
6. 6.The sum of three consecutive numbers is 162. What is the largest of them?
7. 7.Isha is a girl. How is Isha’s daughter’s husband related to Isha? (a) son-in-law (b) brother-in-law (c) nephew (d) son
8. 8.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 3. What comes out after step 3?
9. 9.Which number is the odd one out: 95, 6, 50, 65? (a) 95 (b) 6 (c) 50 (d) 65
10. 10.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 45 61 82 78 92 74. After step 4, what is the 2nd number from the left?
11. 11.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
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 10 × 2 − 11?
13. 13.The sum of three consecutive even numbers is 108. What is the largest of them?
14. 14.Which number is the odd one out: 13, 11, 29, 98? (a) 13 (b) 11 (c) 29 (d) 98
15. 15.Aditya is heavier than Karan. Karan is heavier than Saanvi. Who is the heaviest? (a) Aditya (b) Karan (c) Saanvi
16. 16.Meera is younger than Kabir. Vivaan is younger than Meera. Kabir is younger than Rohan. Who is the second oldest? (a) Kabir (b) Vivaan (c) Rohan (d) Meera
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 19 ÷ 5 × 17?
18. 18.Which number is the odd one out: 66, 20, 79, 60? (a) 66 (b) 20 (c) 79 (d) 60
19. 19.If BALL is written as LLAB, how is BOAT written in the same code? (a) UBPC (b) SZNA (c) CPBU (d) TAOB
20. 20.A clock shows 4:38. What time will it show 53 minutes later? (a) 5:21 (b) 5:41 (c) 6:31 (d) 5:31
21. 21.A clock shows 10:07. What time will it show 132 minutes later? (a) 12:09 (b) 1:19 (c) 12:29 (d) 12:19
22. 22.Nisha walks 15 m North, then turns right and walks 8 m. How far is she from the starting point now, in a straight line (in m)?
23. 23.A clock shows 11:09. What time does it show in a mirror? (a) 12:51 (b) 1:09 (c) 11:51 (d) 1:51
24. 24.Meera, Saanvi and Sneha each have a bag of a different colour: red, green or yellow. Saanvi’s bag is not green. Saanvi’s bag is not yellow. Sneha’s bag is not yellow. Whose bag is red? (a) Meera (b) Saanvi (c) Sneha
25. 25.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 49 71 45 42 73 79. After step 4, what is the 5th number from the left?
26. 26.Find the missing number. The same rule works in every row or in every column.
    5 | 3 | ?
    4 | 8 | 32
    5 | 9 | 45
27. 27.If BOAT is written as UBPC, how is TOYS written in the same code? (a) UPZT (b) TZPU (c) SYOT (d) RXNS
28. 28.Aarav is facing North. He turns around (a half turn), then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
29. 29.Tara is a girl. How is Tara’s brother’s daughter related to Tara? (a) sister (b) daughter (c) cousin (d) niece
30. 30.I am a 2-digit number. My digits add up to 10. If you swap my two digits, the new number is 36 more than me. What number am I?
31. 31.Which capital letter does NOT look the same in a mirror? (a) Y (b) O (c) X (d) C
32. 32.Each person always tells the truth or always lies. Sneha says: “Karan and I are the same kind.” Karan says: “Sneha and I both tell the truth.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
33. 33.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
34. 34.Myra is a girl. How is Myra’s father’s sister’s husband related to Myra? (a) brother-in-law (b) uncle (c) father (d) grandfather
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 11 ÷ 4 + 6?
36. 36.Statements: Some caps are books. No caps are pens. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
37. 37.Which number is the odd one out: 55, 19, 23, 5? (a) 55 (b) 19 (c) 23 (d) 5
38. 38.I am a 2-digit number. My digits add up to 9. If you swap my two digits, the new number is 27 more than me. What number am I?
39. 39.Five friends (Arjun, Isha, Priya, Rohan and Yash) sit in a row. Left and right are as you look at them. Isha sits just to the right of Rohan. Rohan sits next to both Arjun and Isha. Yash sits somewhere to the left of Isha. Priya sits just to the right of Isha. Who sits at the right end? (a) Rohan (b) Isha (c) Priya (d) Arjun
40. 40.Find the missing number. The same rule works in every row or in every column.
    3 | 8 | 3
    11 | ? | 1
    3 | 10 | 1

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