Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 966 · 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 216 equal small cubes. How many small cubes have exactly two painted faces?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 3 × 14 ÷ 18?
3. 3.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
4. 4.Arjun is a boy. How is Arjun’s mother’s mother related to Arjun? (a) sister (b) mother (c) grandmother (d) aunt
5. 5.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
6. 6.A clock shows 2:17. What time will it show 161 minutes later? (a) 5:58 (b) 5:08 (c) 4:48 (d) 4:58
7. 7.Statements: Some balls are kites. No bells are balls. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.Find the missing number. The same rule works in every row or in every column.
   7 | 14 | 21
   13 | 8 | 21
   18 | ? | 25
9. 9.Which number is the odd one out: 91, 42, 78, 94? (a) 91 (b) 42 (c) 78 (d) 94
10. 10.Today is Wednesday. What day of the week will it be 21 days from today? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
11. 11.I am a 2-digit number. My digits add up to 9 and my tens digit is 3 more than my ones digit. What number am I?
12. 12.Karan walks 16 km North, then turns left and walks 12 km. How far is he from the starting point now, in a straight line (in km)?
13. 13.If GOLD is written as EMPH, how is MILK written in the same code? (a) JKHL (b) KLIM (c) LMJN (d) NJML
14. 14.Manav is older than Farhan. Pooja is younger than Farhan. Manav is younger than Omkar. Who is the second oldest? (a) Manav (b) Farhan (c) Omkar (d) Pooja
15. 15.The sum of three consecutive numbers is 177. What is the smallest of them?
16. 16.Sneha is lighter than Pooja. Sneha is heavier than Arjun. Who is the second heaviest? (a) Sneha (b) Pooja (c) Arjun
17. 17.A clock shows 12:12. What time does it show in a mirror? (a) 12:48 (b) 11:48 (c) 12:12 (d) 10:48
18. 18.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: 33 29 64 70 19 11. After step 3, what is the 1st number from the left?
19. 19.Rohan is older than Diya. Rohan is younger than Pooja. Who is the second oldest? (a) Pooja (b) Diya (c) Rohan
20. 20.Four friends (Arjun, Nisha, Pooja and Siddharth) sit in a row. Left and right are as you look at them. Pooja sits somewhere to the left of Siddharth. Arjun does not sit at either end. Pooja does not sit at either end. Pooja sits next to both Nisha and Arjun. Who sits at the right end? (a) Arjun (b) Nisha (c) Pooja (d) Siddharth
21. 21.Five friends (Aarav, Farhan, Myra, Priya and Saanvi) sit in a row. Left and right are as you look at them. Myra sits somewhere to the left of Priya. Saanvi sits somewhere to the left of Priya. Aarav sits somewhere to the left of Farhan. Aarav sits just to the right of Myra. Myra sits next to both Saanvi and Aarav. Priya sits just to the right of Aarav. Who sits at the left end? (a) Farhan (b) Saanvi (c) Myra (d) Aarav
22. 22.Statements: No coins are caps. All keys are coins. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
23. 23.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    12 | 33 | 18
    27 | 21 | ?
    24 | 9 | 30
24. 24.If PEN is written as KVM, how is TOYS written in the same code? (a) HMCI (b) UPZT (c) GLBH (d) FKAG
25. 25.Kabir walks 12 m North, then turns right and walks 9 m. How far is he from the starting point now, in a straight line (in m)?
26. 26.Isha is a girl. How is Isha’s mother’s father related to Isha? (a) grandfather (b) grandson (c) uncle (d) father
27. 27.A clock shows 2:28. What time will it show 139 minutes later? (a) 4:37 (b) 5:47 (c) 4:57 (d) 4:47
28. 28.Which capital letter looks exactly the same in a mirror? (a) S (b) F (c) I (d) Q
29. 29.13 May is a Tuesday. What day of the week is 13 June of the same year? (a) Sunday (b) Saturday (c) Thursday (d) Friday
30. 30.If LION is written as JGML, how is TOYS written in the same code? (a) RMWQ (b) SNXR (c) VQAU (d) QLVP
31. 31.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 2. What comes out after step 3?
32. 32.If CAT is written as UBD, how is FISH written in the same code? (a) HSIF (b) GRHE (c) GJTI (d) ITJG
33. 33.Riya is a girl. How is Riya’s father’s sister related to Riya? (a) cousin (b) aunt (c) sister (d) mother
34. 34.Five friends (Aarav, Ananya, Omkar, Rahul and Rohan) sit in a row. Left and right are as you look at them. Omkar sits somewhere to the left of Aarav. Rahul does not sit at either end. Rohan sits just to the right of Omkar. Omkar sits next to both Ananya and Rohan. Who sits just to the right of Rohan? (a) Ananya (b) Rahul (c) Omkar (d) Aarav
35. 35.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have no painted face?
36. 36.Four friends (Meera, Pooja, Rohan and Saanvi) sit in a row. Left and right are as you look at them. Meera sits next to both Pooja and Saanvi. Rohan sits somewhere to the left of Meera. Meera sits just to the right of Pooja. Who sits at the right end? (a) Saanvi (b) Pooja (c) Rohan (d) Meera
37. 37.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) V (b) G (c) A (d) C
38. 38.Statements: No boxes are kites. All books are boxes. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
39. 39.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 7. What comes out after step 3?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 18 ÷ 3 − 7?

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