Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 476 · 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.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have exactly two painted faces?
2. 2.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
3. 3.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: 35 90 93 76 54 46. After step 4, what is the 5th number from the left?
4. 4.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have no painted face?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 10 − 4 × 5?
6. 6.Books read in the summer holidays: Saanvi 9, Zoya 11, Meera 13, Aarav 25, Ishaan 6. How many children have more than 7 books?
7. 7.Kabir is facing West. He turns right, then turns right, then turns right, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
8. 8.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
9. 9.Saanvi, Priya and Yash each play a different game: football, chess or badminton. Saanvi does not play chess. Yash does not play badminton. Priya does not play football. Yash does not play chess. Who plays chess? (a) Saanvi (b) Priya (c) Yash
10. 10.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 8. What comes out after step 3?
11. 11.In a group of 30 children, 11 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing exactly one of the two?
12. 12.Tara is a girl. How is Tara’s father’s father’s only son related to Tara? (a) brother (b) father (c) uncle (d) grandfather
13. 13.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
14. 14.Each person always tells the truth or always lies. Nisha says: “Farhan and I are the same kind.” Dev says: “Nisha tells the truth.” Farhan says: “Dev and I both tell the truth.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
15. 15.Steps climbed in a minute: Sneha 73, Siddharth 26, Omkar 24, Arjun 60, Kavya 27. What is the difference between the highest and the lowest?
16. 16.Find the missing number. The same rule works in every row or in every column.
    ? | 1 | 9
    3 | 6 | 9
    5 | 20 | 25
17. 17.Ananya walks 9 m East, then turns around and walks 4 m. How far is she from the starting point now (in m)?
18. 18.Manav walks 5 m North, then turns left and walks 15 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
19. 19.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
20. 20.Which number is the odd one out: 79, 43, 22, 97? (a) 79 (b) 43 (c) 22 (d) 97
21. 21.Find the missing number. The same rule works in every row or in every column.
    ? | 13 | 27
    20 | 4 | 24
    7 | 3 | 10
22. 22.Sneha is taller than Siddharth. Yash is taller than Sneha. Siddharth is taller than Priya. Who is the second tallest? (a) Priya (b) Siddharth (c) Yash (d) Sneha
23. 23.Statements: Some caps are toys. Some toys are kites. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 14 ÷ 19 + 8?
25. 25.Three friends (Aditya, Pooja and Vivaan) sit in a row. Left and right are as you look at them. Pooja sits somewhere to the left of Vivaan. Aditya sits just to the right of Pooja. Who sits in the middle? (a) Vivaan (b) Aditya (c) Pooja
26. 26.Find the missing number. The same rule works in every row or in every column.
    11 | 11 | 6
    5 | 10 | 4
    16 | 21 | ?
27. 27.Manav is facing South. He turns right, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
28. 28.Which number is the odd one out: 70, 31, 2, 13? (a) 70 (b) 31 (c) 2 (d) 13
29. 29.Yash is a boy. How is Yash’s mother’s brother’s son related to Yash? (a) uncle (b) cousin (c) brother (d) nephew
30. 30.Statements: All boxes are caps. No cups are caps. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.Is 2003 a leap year? (a) Yes (b) No
32. 32.1 January 2024 is a Monday. What day of the week is 26 December 2024? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
33. 33.If CAT is written as SZB, how is NEST written in the same code? (a) MDRS (b) TSEN (c) UTFO (d) SRDM
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 14 ÷ 7 × 2?
35. 35.A clock shows 2:16. What time does it show in a mirror? (a) 8:44 (b) 9:44 (c) 10:16 (d) 10:44
36. 36.Each person always tells the truth or always lies. Aditya says: “Zoya and I are different kinds.” Zoya says: “Aditya tells the truth.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.1 January 2011 is a Saturday. What day of the week is 29 April 2011? (a) Saturday (b) Thursday (c) Friday (d) Sunday
38. 38.Aditya, Omkar and Nisha each play a different game: badminton, cricket or football. Aditya does not play cricket. Nisha does not play badminton. Omkar does not play cricket. Aditya does not play football. Which game does Nisha play? (a) badminton (b) cricket (c) football
39. 39.Runs scored in a cricket match: Aditya 56, Tara 38, Diya 15, Manav 9, Farhan 12. Who has the fewest runs? (a) Aditya (b) Manav (c) Tara (d) Diya
40. 40.Find the missing number. The same rule works in every row or in every column.
    6 | 6 | 14
    2 | 4 | ?
    8 | 10 | 24

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