Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 511 · 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.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   29 | 8 | ?
   14 | 20 | 26
   17 | 32 | 11
2. 2.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: 79 83 59 12 26 63. After step 2, what is the 6th number from the left?
3. 3.Karan is shorter than Myra. Myra is shorter than Arjun. Who is the second tallest? (a) Myra (b) Karan (c) Arjun
4. 4.Karan is taller than Ananya. Manav is shorter than Ananya. Karan is shorter than Vivaan. Who is the shortest? (a) Karan (b) Manav (c) Ananya (d) Vivaan
5. 5.Pooja is a girl. How is Pooja’s mother’s father related to Pooja? (a) grandson (b) uncle (c) father (d) grandfather
6. 6.Aisha walks 15 m South, then turns right and walks 4 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
7. 7.Which capital letter looks exactly the same in a mirror? (a) E (b) U (c) B (d) Q
8. 8.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 three painted faces?
9. 9.Find the missing number. The same rule works in every row or in every column.
   13 | 2 | 1
   6 | 9 | 1
   2 | ? | 8
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: 31 25 33 78 30 43. After step 2, what is the 1st number from the left?
11. 11.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
12. 12.Omkar, Aditya and Zoya each have a different pet: dog, cat or tortoise. Zoya does not have the dog. Aditya does not have the tortoise. Zoya does not have the cat. Aditya does not have the cat. Who has the tortoise? (a) Omkar (b) Aditya (c) Zoya
13. 13.Find the missing number. The same rule works in every row or in every column.
    2 | 20 | 22
    6 | ? | 8
    12 | 3 | 15
14. 14.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
15. 15.Each person always tells the truth or always lies. Aditya says: “Pooja and I are the same kind.” Pooja says: “Aditya is a liar.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
16. 16.The sum of three consecutive numbers is 39. What is the largest of them?
17. 17.Statements: No bells are kites. No bags are kites. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 18 × 14 + 13?
19. 19.Statements: Some kites are coins. All coins are toys. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
20. 20.If BOOK is written as ERRN, how is CAT written in the same code? (a) FDW (b) GEX (c) ECV (d) ZXQ
21. 21.Kabir is a boy. How is Kabir’s father’s sister related to Kabir? (a) mother (b) sister (c) cousin (d) aunt
22. 22.Which capital letter looks exactly the same in a mirror? (a) V (b) F (c) Q (d) B
23. 23.Siddharth is heavier than Sneha. Farhan is lighter than Sneha. Kabir is lighter than Farhan. Who is the heaviest? (a) Farhan (b) Sneha (c) Kabir (d) Siddharth
24. 24.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have no painted face?
25. 25.Is 2037 a leap year? (a) Yes (b) No
26. 26.Zoya, Kabir and Isha each play a different game: carrom, football or badminton. Zoya does not play badminton. Isha does not play badminton. Isha does not play football. Who plays football? (a) Zoya (b) Kabir (c) Isha
27. 27.If TOYS is written as SYOT, how is SUN written in the same code? (a) OVT (b) MTR (c) NUS (d) TVO
28. 28.Nisha is lighter than Manav. Manav is lighter than Riya. Riya is lighter than Farhan. Who is the second heaviest? (a) Manav (b) Riya (c) Nisha (d) Farhan
29. 29.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 7. What comes out after step 2?
30. 30.Aditya is a boy. How is Aditya’s father’s only son’s sister related to Aditya? (a) sister (b) mother (c) aunt (d) cousin
31. 31.Which number is the odd one out: 76, 2, 89, 23? (a) 76 (b) 2 (c) 89 (d) 23
32. 32.Diya is taller than Ira. Ira is taller than Vivaan. Who is the shortest? (a) Vivaan (b) Ira (c) Diya
33. 33.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: 26 19 66 37 15 21. After step 4, what is the 4th number from the left?
34. 34.Farhan walks 13 m South, then turns right and walks 2 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
35. 35.Saanvi, Rohan and Aisha each play a different game: chess, carrom or cricket. Rohan does not play chess. Rohan does not play cricket. Aisha does not play chess. Who plays cricket? (a) Saanvi (b) Rohan (c) Aisha
36. 36.Aarav, Diya and Priya each have a different pet: cat, tortoise or rabbit. Diya does not have the tortoise. Aarav does not have the tortoise. Aarav does not have the rabbit. Which pet does Diya have? (a) cat (b) tortoise (c) rabbit
37. 37.25 October is a Monday. What day of the week is 25 November of the same year? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
38. 38.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
39. 39.Which capital letter does NOT look the same in a mirror? (a) A (b) W (c) H (d) J
40. 40.If FROG is written as GORF, how is PARK written in the same code? (a) LSBQ (b) JQZO (c) QBSL (d) KRAP

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