Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 836 · 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.Each person always tells the truth or always lies. Rohan says: “Pooja and I are different kinds.” Pooja says: “Rohan tells the truth.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.Find the missing number. The same rule works in every row or in every column.
   4 | 6 | 24
   7 | 8 | 56
   ? | 2 | 10
3. 3.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly one painted face?
4. 4.The sum of three consecutive numbers is 138. What is the smallest of them?
5. 5.If WIND is written as DNIW, how is HAND written in the same code? (a) DNAH (b) CMZG (c) EOBI (d) IBOE
6. 6.1 January 2022 is a Saturday. What day of the week is 15 August 2022? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
7. 7.Trees planted in a week: Diya 28, Isha 11, Priya 36, Nisha 31, Aisha 5. Who has the fewest trees? (a) Aisha (b) Diya (c) Isha (d) Priya
8. 8.Kabir walks 13 m West, then turns around and walks 7 m. How far is he from the starting point now (in m)?
9. 9.Is 2055 a leap year? (a) Yes (b) No
10. 10.Which number is the odd one out: 29, 60, 47, 75? (a) 29 (b) 60 (c) 47 (d) 75
11. 11.Statements: No kites are books. Some bells are books. Conclusion: No kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
12. 12.Neel is facing South. He turns right, then turns left, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 14 × 2 ÷ 15?
14. 14.Is 2400 a leap year? (a) Yes (b) No
15. 15.Priya is older than Ananya. Kabir is younger than Ananya. Ira is older than Priya. Who is the second oldest? (a) Ira (b) Priya (c) Kabir (d) Ananya
16. 16.In a group of 40 grown-ups, 11 drink tea, 19 drink coffee and 2 drink both. How many drink at least one of the two?
17. 17.If BOAT is written as VCQD, how is CAT written in the same code? (a) VCE (b) ECV (c) RYA (d) TAC
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 3 + 13 × 14?
19. 19.Find the missing number. The same rule works in every row or in every column.
    ? | 7 | 49
    9 | 3 | 27
    5 | 6 | 30
20. 20.I am a 2-digit number. My digits add up to 13. If you swap my two digits, the new number is 9 more than me. What number am I?
21. 21.Saanvi is facing West. She turns left, then turns left, then turns right, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
22. 22.Which number is the odd one out: 96, 12, 8, 35? (a) 96 (b) 12 (c) 8 (d) 35
23. 23.Statements: All caps are toys. All coins are caps. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
24. 24.Kavya is heavier than Aditya. Pooja is heavier than Kavya. Who is the heaviest? (a) Kavya (b) Aditya (c) Pooja
25. 25.Statements: Some bags are pens. No kites are bags. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
26. 26.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: 25 22 57 32 66 10. After step 2, what is the 3rd number from the left?
27. 27.Yash walks 8 m West, then turns right and walks 3 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
28. 28.Statements: All cups are bells. No bells are books. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.Each person always tells the truth or always lies. Vivaan says: “Siddharth and I are different kinds.” Sneha says: “Vivaan and I are the same kind.” Siddharth says: “Sneha is a liar.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
30. 30.Today is Sunday. What day of the week will it be 88 days from today? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
31. 31.Three friends (Farhan, Priya and Vivaan) sit in a row. Left and right are as you look at them. Farhan sits just to the right of Vivaan. Vivaan sits next to both Priya and Farhan. Who sits just to the right of Priya? (a) Priya (b) Farhan (c) Vivaan
32. 32.Statements: No books are kites. All pens are books. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
33. 33.Rohan walks 13 m East, turns right and walks 3 m, then turns right again and walks 9 m. How far is he from the starting point now, in a straight line (in m)?
34. 34.Statements: All cups are keys. No boxes are keys. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
35. 35.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: 16 17 46 21 14 23. After step 3, what is the 5th number from the left?
36. 36.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: 85 39 54 99 41 82. After step 2, what is the 5th number from the left?
37. 37.In a group of 50 children, 28 play chess, 27 play carrom and 8 play both. How many play at least one of the two?
38. 38.Two standard dice show 2 and 3 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
39. 39.Farhan is older than Karan. Farhan is younger than Ishaan. Who is the oldest? (a) Ishaan (b) Farhan (c) Karan
40. 40.Statements: All coins are shoes. No bags are coins. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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