Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 799 · 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 cut into 64 equal small cubes. How many small cubes have exactly one painted face?
2. 2.In a group of 29 children, 17 play chess, 14 play carrom and 10 play both. How many play exactly one of the two?
3. 3.Two standard dice show 5 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
4. 4.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
5. 5.Find the missing number. The same rule works in every row or in every column.
   14 | ? | 20
   5 | 15 | 19
   19 | 35 | 39
6. 6.Which number is the odd one out: 26, 34, 91, 62? (a) 26 (b) 34 (c) 91 (d) 62
7. 7.Vivaan walks 6 m North, then turns right and walks 9 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
8. 8.Neel, Aisha and Riya each play a different game: carrom, cricket or chess. Neel does not play cricket. Aisha does not play carrom. Aisha does not play chess. Neel does not play carrom. Which game does Aisha play? (a) carrom (b) cricket (c) chess
9. 9.Find the missing number. The same rule works in every row or in every column.
   16 | 8 | 24
   12 | 19 | ?
   14 | 5 | 19
10. 10.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
11. 11.Trees planted in a week: Dev 38, Farhan 30, Aisha 10, Yash 16, Omkar 31. How many more trees does Dev have than Aisha?
12. 12.1 January 2022 is a Saturday. What day of the week is 30 June 2022? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
13. 13.Find the missing number. The same rule works in every row or in every column.
    11 | 14 | 2
    12 | 18 | ?
    23 | 32 | 21
14. 14.Saanvi is a girl. How is Saanvi’s mother’s father related to Saanvi? (a) father (b) grandson (c) uncle (d) grandfather
15. 15.If CAT is written as DBU, how is CAKE written in the same code? (a) FLBD (b) ECMG (c) BZJD (d) DBLF
16. 16.Find the missing number. The same rule works in every row or in every column.
    10 | ? | 16
    2 | 17 | 8
    21 | 2 | 4
17. 17.Statements: Some kites are coins. Some coins are keys. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
18. 18.If DOG is written as FNC, how is HAND written in the same code? (a) DNAH (b) CMZG (c) GZMC (d) EOBI
19. 19.If TOYS is written as TZPU, how is DOG written in the same code? (a) FNC (b) EPH (c) HPE (d) GOD
20. 20.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: 71 18 88 52 38 46. After step 4, what is the 5th number from the left?
21. 21.A wooden cube is painted on all six faces, then each edge is cut into 5 equal parts, making small cubes. How many small cubes have exactly one painted face?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 18 × 9 ÷ 9?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 20 × 5 + 14?
24. 24.Steps climbed in a minute: Kabir 84, Zoya 60, Sneha 20, Rohan 31, Siddharth 67. Who has the fewest steps? (a) Rohan (b) Sneha (c) Siddharth (d) Kabir
25. 25.How many degrees does the hour hand of a clock turn in 101 minutes? =
26. 26.Four friends (Arjun, Ira, Kavya and Zoya) sit in a row. Left and right are as you look at them. Ira sits somewhere to the left of Zoya. Zoya sits just to the right of Kavya. Arjun sits at the left end. Who sits just to the left of Kavya? (a) Kavya (b) Ira (c) Arjun (d) Zoya
27. 27.Nisha, Arjun and Meera each play a different game: badminton, football or carrom. Arjun does not play badminton. Meera does not play carrom. Arjun does not play football. Meera does not play badminton. Who plays carrom? (a) Nisha (b) Arjun (c) Meera
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 does not get water”? (a) must be true (b) must be false (c) can't tell
29. 29.Neel runs slower than Siddharth. Diya runs faster than Siddharth. Karan runs faster than Diya. Who runs the slowest? (a) Diya (b) Siddharth (c) Neel (d) Karan
30. 30.Rohan walks 18 m East, turns left and walks 8 m, then turns left again and walks 3 m. How far is he from the starting point now, in a straight line (in m)?
31. 31.A clock shows 4:49. What time does it show in a mirror? (a) 8:49 (b) 8:11 (c) 7:11 (d) 6:11
32. 32.Which number is the odd one out: 83, 43, 29, 32? (a) 83 (b) 43 (c) 29 (d) 32
33. 33.Find the missing number. The same rule works in every row or in every column.
    2 | 7 | 14
    6 | 3 | 18
    9 | ? | 72
34. 34.Saanvi is a girl. How is Saanvi’s mother’s mother related to Saanvi? (a) aunt (b) sister (c) grandmother (d) mother
35. 35.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: 67 30 69 40 92 54. After step 3, what is the 1st number from the left?
36. 36.Which number is the odd one out: 18, 48, 22, 72? (a) 18 (b) 48 (c) 22 (d) 72
37. 37.Steps climbed in a minute: Riya 61, Ananya 24, Meera 21, Kabir 35, Saanvi 22. How many children have more than 33 steps?
38. 38.Find the missing number. The same rule works in every row or in every column.
    12 | 11 | 23
    1 | 15 | 16
    19 | ? | 29
39. 39.What is the smaller angle between the hour hand and the minute hand at 5:44? (in degrees) =
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 9 − 7 + 9?

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