Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 654 · 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.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 12 + 3 × 10?
2. 2.Ishaan is a boy. How is Ishaan’s mother’s brother related to Ishaan? (a) brother (b) uncle (c) grandfather (d) cousin
3. 3.If SHIP is written as RGHO, how is HAND written in the same code? (a) IBOE (b) FYLB (c) GZMC (d) HAND
4. 4.Statements: All keys are shoes. Some bags are shoes. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
5. 5.A clock shows 1:40. What time does it show in a mirror? (a) 10:20 (b) 11:20 (c) 11:40 (d) 9:20
6. 6.In a group of 37 children, 15 like mangoes, 16 like bananas and 5 like both. How many like exactly one of the two?
7. 7.Statements: All bells are keys. No keys are pens. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 2. What comes out after step 3?
9. 9.Statements: Some books are caps. All caps are rings. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
10. 10.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    22 | 24 | 14
    ? | 20 | 28
    26 | 16 | 18
11. 11.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have no painted face?
12. 12.Find the missing number. The same rule works in every row or in every column.
    10 | ? | 14
    1 | 1 | 2
    4 | 16 | 20
13. 13.In a group of 32 children, 13 play chess, 21 play carrom and 10 play both. How many play neither of the two?
14. 14.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not finish the homework. What can you say about “Ananya goes to the park”? (a) must be true (b) must be false (c) can't tell
15. 15.Statements: No cups are bags. All kites are bags. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
16. 16.Dev is a boy. How is Dev’s sister’s son related to Dev? (a) cousin (b) brother (c) son (d) nephew
17. 17.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?
18. 18.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
19. 19.Meera is facing North. She turns right, then turns right, then turns around (a half turn). Which direction is she facing now? (a) North (b) East (c) South (d) West
20. 20.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) C (b) N (c) F (d) Z
21. 21.If DOG is written as GRJ, how is KITE written in the same code? (a) OMXI (b) MKVG (c) NLWH (d) HFQB
22. 22.Five friends (Aditya, Dev, Isha, Kavya and Omkar) sit in a row. Left and right are as you look at them. Aditya sits at the right end. Dev sits somewhere to the left of Isha. Kavya sits just to the right of Dev. Dev sits at the left end. Kavya sits next to both Dev and Isha. Who sits just to the right of Kavya? (a) Isha (b) Dev (c) Omkar (d) Kavya
23. 23.A clock shows 12:31. What time will it show 168 minutes later? (a) 4:19 (b) 3:19 (c) 3:09 (d) 3:29
24. 24.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    27 | 12 | 33
    30 | 24 | ?
    15 | 36 | 21
25. 25.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?
26. 26.Which capital letter does NOT look the same in a mirror? (a) K (b) Y (c) A (d) W
27. 27.In a group of 32 children, 22 play cricket, 11 play football and 4 play both. How many play only cricket?
28. 28.Ananya walks 15 m South, then turns right and walks 13 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
29. 29.Rahul is a boy. How is Rahul’s sister’s daughter related to Rahul? (a) daughter (b) sister (c) niece (d) aunt
30. 30.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly three painted faces?
31. 31.The sum of three consecutive numbers is 171. What is the largest of them?
32. 32.If DRUM is written as GUXP, how is HAND written in the same code? (a) EXKA (b) JCPF (c) LERH (d) KDQG
33. 33.Ira is a girl. How is Ira’s brother’s daughter related to Ira? (a) sister (b) cousin (c) daughter (d) niece
34. 34.Aarav is taller than Neel. Ishaan is shorter than Neel. Who is the shortest? (a) Aarav (b) Neel (c) Ishaan
35. 35.Two standard dice show 1 and 3 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
36. 36.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?
37. 37.Is 2060 a leap year? (a) Yes (b) No
38. 38.Zoya, Farhan and Kabir each have a bag of a different colour: red, green or yellow. Farhan’s bag is not red. Zoya’s bag is not green. Kabir’s bag is not red. Kabir’s bag is not green. What colour is Kabir’s bag? (a) red (b) green (c) yellow
39. 39.Find the missing number. The same rule works in every row or in every column.
    6 | 8 | 48
    5 | 2 | 10
    9 | ? | 27
40. 40.A clock shows 11:52. What time will it show 39 minutes later? (a) 12:31 (b) 12:41 (c) 1:31 (d) 12:21

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