Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 214 · 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 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: 80 52 19 44 66 55. After step 2, what is the 2nd number from the left?
2. 2.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
3. 3.I am a 2-digit number. My digits add up to 8 and my tens digit is 4 more than my ones digit. What number am I?
4. 4.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly three painted faces?
5. 5.Which number is the odd one out: 37, 43, 35, 23? (a) 37 (b) 43 (c) 35 (d) 23
6. 6.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: 60 53 66 19 36 18. After step 3, what is the 3rd number from the left?
7. 7.1 January 2005 is a Saturday. What day of the week is 3 June 2005? (a) Sunday (b) Saturday (c) Thursday (d) Friday
8. 8.Karan is younger than Omkar. Arjun is older than Omkar. Who is the oldest? (a) Omkar (b) Karan (c) Arjun
9. 9.Each person always tells the truth or always lies. Rahul says: “Saanvi and I both tell the truth.” Meera says: “At least one of us two, Saanvi or I, is a liar.” Saanvi says: “Meera is a liar.” Is Meera a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.If SUN is written as TVO, how is BOOK written in the same code? (a) ANNJ (b) CPPL (c) DQQM (d) LPPC
11. 11.Three friends (Karan, Omkar and Pooja) sit in a row. Left and right are as you look at them. Pooja sits at the right end. Omkar sits just to the right of Karan. Who sits in the middle? (a) Karan (b) Omkar (c) Pooja
12. 12.Each person always tells the truth or always lies. Zoya says: “Kavya and I are different kinds.” Kavya says: “Zoya and I are the same kind.” Is Kavya a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.How many degrees does the minute hand of a clock turn in 45 minutes? =
14. 14.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
15. 15.Two standard dice show 3 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
16. 16.Find the missing number. The same rule works in every row or in every column.
    ? | 5 | 10
    5 | 6 | 30
    3 | 7 | 21
17. 17.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is open. What can you say about “Vivaan does not buy milk”? (a) must be true (b) must be false (c) can't tell
18. 18.Marks in a maths test (out of 50): Karan 27, Ira 19, Isha 24, Diya 17, Meera 32. What is the total for all five children?
19. 19.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
20. 20.Statements: All caps are toys. Some caps are rings. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
21. 21.The sum of three consecutive numbers is 156. What is the smallest of them?
22. 22.1 January 2023 is a Sunday. What day of the week is 5 April 2023? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
23. 23.Runs scored in a cricket match: Kabir 43, Priya 7, Manav 25, Ishaan 16, Farhan 9. Who has the fewest runs? (a) Kabir (b) Farhan (c) Priya (d) Ishaan
24. 24.A clock shows 7:41. What time will it show 143 minutes later? (a) 10:14 (b) 10:04 (c) 9:54 (d) 11:04
25. 25.I am a 2-digit number. My digits add up to 17. If you swap my two digits, the new number is 9 more than me. What number am I?
26. 26.Rohan is younger than Priya. Neel is younger than Nisha. Neel is older than Priya. Who is the youngest? (a) Neel (b) Rohan (c) Priya (d) Nisha
27. 27.In a group of 50 children, 31 play cricket, 29 play football and 12 play both. How many play only football?
28. 28.Statements: All kites are shoes. Some shoes are caps. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.Statements: Some boxes are caps. All caps are books. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
30. 30.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: 84 75 91 39 41 90. After step 2, what is the 2nd number from the left?
31. 31.Neel is a boy. How is Neel’s sister’s daughter related to Neel? (a) aunt (b) niece (c) daughter (d) sister
32. 32.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
33. 33.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?
34. 34.If CAKE is written as EKAC, how is DESK written in the same code? (a) LTFE (b) EFTL (c) KSED (d) JRDC
35. 35.Dev walks 15 m South, then turns left and walks 12 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
36. 36.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 2 + 5 − 9?
38. 38.27 May is a Monday. What day of the week is 27 June of the same year? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
39. 39.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
40. 40.Statements: No pens are rings. Some pens are keys. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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