Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 156 · 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 each edge is cut into 4 equal parts, making small cubes. How many small cubes have exactly one painted face?
2. 2.Each person always tells the truth or always lies. Riya says: “Farhan and I both tell the truth.” Aarav says: “Riya is a liar.” Farhan says: “Aarav and I are different kinds.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
3. 3.Which capital letter does NOT look the same in a mirror? (a) A (b) F (c) W (d) I
4. 4.Four friends (Arjun, Karan, Saanvi and Yash) sit in a row. Left and right are as you look at them. Yash sits at the right end. Saanvi does not sit at either end. Arjun sits somewhere to the left of Saanvi. Karan does not sit at either end. Karan sits next to both Arjun and Saanvi. Who sits at the left end? (a) Arjun (b) Yash (c) Karan (d) Saanvi
5. 5.Statements: All coins are keys. Some coins are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
6. 6.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: 68 14 66 39 34 76. After step 3, what is the 4th number from the left?
7. 7.Karan is taller than Aditya. Meera is taller than Karan. Yash is shorter than Aditya. Who is the shortest? (a) Karan (b) Meera (c) Yash (d) Aditya
8. 8.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   8 | 9 | 4
   3 | 7 | ?
   10 | 5 | 6
9. 9.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 52 35 90 97 55. After step 4, what is the 2nd number from the left?
10. 10.Statements: All bags are boxes. No shoes are bags. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
11. 11.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 9. What comes out after step 3?
12. 12.Runs scored in a cricket match: Kavya 53, Nisha 19, Vivaan 37, Meera 42, Saanvi 43. How many more runs does Kavya have than Vivaan?
13. 13.Is 2007 a leap year? (a) Yes (b) No
14. 14.In a group of 36 grown-ups, 13 drink tea, 20 drink coffee and 4 drink both. How many drink at least one of the two?
15. 15.Dev is a boy. How is Dev’s father’s sister’s husband related to Dev? (a) grandfather (b) brother-in-law (c) uncle (d) father
16. 16.Statements: Some bells are rings. No rings are cups. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
17. 17.Karan is shorter than Aditya. Priya is taller than Aditya. Karan is taller than Ananya. Who is the second tallest? (a) Aditya (b) Karan (c) Priya (d) Ananya
18. 18.Meera walks 13 m North, then turns right and walks 10 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 20 − 10 × 5?
20. 20.If BOOK is written as KOOB, how is DRUM written in the same code? (a) MURD (b) ESVN (c) LTQC (d) NVSE
21. 21.Rule: If the shop is open, then Nisha buys milk. Fact: Nisha does not buy milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
22. 22.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 5 − 20 ÷ 15?
24. 24.Statements: All shoes are boxes. All shoes are caps. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
25. 25.Two standard dice show 2 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
26. 26.Find the missing number. The same rule works in every row or in every column.
    14 | 11 | 25
    15 | 1 | 16
    1 | ? | 7
27. 27.Which number is the odd one out: 98, 64, 56, 14? (a) 98 (b) 64 (c) 56 (d) 14
28. 28.Which number is the odd one out: 3, 47, 36, 23? (a) 3 (b) 47 (c) 36 (d) 23
29. 29.If RAIN is written as PYGL, how is CAT written in the same code? (a) BZS (b) ECV (c) AYR (d) ZXQ
30. 30.Steps climbed in a minute: Aditya 24, Riya 28, Rahul 87, Zoya 61, Karan 67. What is the total for all five children?
31. 31.Which number is the odd one out: 78, 88, 96, 8? (a) 78 (b) 88 (c) 96 (d) 8
32. 32.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: 57 75 53 32 10 84. After step 2, what is the 6th number from the left?
33. 33.Each person always tells the truth or always lies. Meera says: “Priya tells the truth.” Priya says: “Aisha tells the truth.” Aisha says: “Meera and I are the same kind.” Is Priya a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.If TOYS is written as SNXR, how is BOAT written in the same code? (a) ZMYR (b) BOAT (c) CPBU (d) ANZS
35. 35.Three friends (Aisha, Karan and Zoya) sit in a row. Left and right are as you look at them. Aisha sits at the left end. Karan sits at the right end. Who sits just to the left of Zoya? (a) Karan (b) Zoya (c) Aisha
36. 36.Statements: All boxes are bells. No boxes are rings. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
37. 37.Aditya is older than Siddharth. Vivaan is older than Aditya. Isha is younger than Siddharth. Who is the second youngest? (a) Aditya (b) Isha (c) Siddharth (d) Vivaan
38. 38.A clock shows 2:55. What time will it show 112 minutes later? (a) 4:47 (b) 4:37 (c) 5:47 (d) 4:57
39. 39.In a group of 22 children, 6 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
40. 40.Statements: No shoes are bells. All rings are shoes. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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