Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 133 · 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 three painted faces?
2. 2.If BOOK is written as CPPL, how is PEN written in the same code? (a) RGP (b) OFQ (c) QFO (d) ODM
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: 28 27 86 75 11 23. After step 4, what is the 2nd number from the left?
4. 4.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly two painted faces?
5. 5.Each person always tells the truth or always lies. Priya says: “Ananya and I are different kinds.” Ananya says: “Manav is a liar.” Manav says: “Priya tells the truth.” Is Priya a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.Is 2011 a leap year? (a) Yes (b) No
7. 7.A clock shows 12:09. What time will it show 121 minutes later? (a) 2:00 (b) 3:10 (c) 2:20 (d) 2:10
8. 8.Kites flown at Makar Sankranti: Vivaan 8, Aditya 3, Omkar 25, Ira 6, Ananya 5. What is the total for all five children?
9. 9.Dev is taller than Farhan. Diya is taller than Dev. Meera is shorter than Farhan. Who is the tallest? (a) Farhan (b) Diya (c) Dev (d) Meera
10. 10.Diya is a girl. How is Diya’s father’s father’s only son related to Diya? (a) grandfather (b) uncle (c) father (d) brother
11. 11.Find the missing number. The same rule works in every row or in every column.
    3 | 2 | 5
    16 | 2 | 18
    ? | 17 | 31
12. 12.If CAT is written as SZB, how is TREE written in the same code? (a) EERT (b) FFSU (c) DDQS (d) SQDD
13. 13.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev does not finish the homework. What can you say about “Dev does not go to the park”? (a) must be true (b) must be false (c) can't tell
14. 14.Statements: All coins are balls. No coins are books. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.Which number is the odd one out: 61, 13, 81, 19? (a) 61 (b) 13 (c) 81 (d) 19
16. 16.Rule: If the shop is open, then Tara buys milk. Fact: The shop is not open. What can you say about “Tara buys milk”? (a) must be true (b) must be false (c) can't tell
17. 17.Find the missing number. The same rule works in every row or in every column.
    14 | 15 | 3
    13 | 15 | 10
    27 | ? | 13
18. 18.Which number is the odd one out: 67, 85, 73, 83? (a) 67 (b) 85 (c) 73 (d) 83
19. 19.Each person always tells the truth or always lies. Rohan says: “Tara and I are different kinds.” Tara says: “Kabir is a liar.” Kabir says: “Rohan and I are the same kind.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
20. 20.Ira is a girl. How is Ira’s brother’s daughter related to Ira? (a) daughter (b) cousin (c) niece (d) sister
21. 21.Kabir is older than Dev. Arjun is younger than Dev. Who is the second oldest? (a) Kabir (b) Dev (c) Arjun
22. 22.1 January 2004 is a Thursday. What day of the week is 27 February 2004? (a) Friday (b) Sunday (c) Thursday (d) Saturday
23. 23.If KITE is written as MKVG, how is BALL written in the same code? (a) DCNN (b) EDOO (c) ZYJJ (d) CBMM
24. 24.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera does not finish the homework. What can you say about “Meera does not go to the park”? (a) must be true (b) must be false (c) can't tell
25. 25.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
26. 26.Each person always tells the truth or always lies. Ira says: “Neel and I are the same kind.” Neel says: “Ira is a liar.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.Find the missing number. The same rule works in every row or in every column.
    6 | 5 | 9
    12 | 20 | ?
    18 | 25 | 17
28. 28.If DOG is written as BME, how is TREE written in the same code? (a) SQDD (b) RPCC (c) VTGG (d) QOBB
29. 29.Aisha walks 7 m South, then turns left and walks 11 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
30. 30.Two standard dice show 3 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
31. 31.Saanvi is a girl. How is Saanvi’s brother’s son related to Saanvi? (a) cousin (b) son (c) nephew (d) brother
32. 32.7 November is a Monday. What day of the week is 7 December of the same year? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 2 × 2 + 2?
34. 34.Which number is the odd one out: 7, 14, 13, 73? (a) 7 (b) 14 (c) 13 (d) 73
35. 35.Which number is the odd one out: 71, 73, 20, 11? (a) 71 (b) 73 (c) 20 (d) 11
36. 36.Which capital letter does NOT look the same in a mirror? (a) Y (b) G (c) H (d) V
37. 37.In a group of 44 grown-ups, 31 drink tea, 18 drink coffee and 11 drink both. How many drink neither of the two?
38. 38.Which number is the odd one out: 32, 99, 16, 64? (a) 32 (b) 99 (c) 16 (d) 64
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 20 + 2 × 17?
40. 40.Siddharth runs slower than Aditya. Aditya runs slower than Isha. Who runs the fastest? (a) Siddharth (b) Aditya (c) Isha

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