Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 24 · 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 8 × 2 + 2 − 2?
2. 2.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
3. 3.Three friends (Dev, Neel and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits next to both Neel and Dev. Dev sits at the right end. Who sits just to the right of Vivaan? (a) Dev (b) Neel (c) Vivaan
4. 4.Today is Friday. What day of the week will it be 43 days from today? (a) Sunday (b) Monday (c) Friday (d) Saturday
5. 5.Five friends (Aditya, Manav, Myra, Neel and Omkar) sit in a row. Left and right are as you look at them. Aditya sits somewhere to the left of Omkar. Neel does not sit at either end. Myra sits at the right end. Neel sits just to the right of Aditya. Manav does not sit at either end. Manav sits next to both Omkar and Myra. Who sits in the middle? (a) Neel (b) Omkar (c) Manav (d) Myra
6. 6.Which capital letter looks exactly the same in a mirror? (a) O (b) J (c) C (d) G
7. 7.Statements: No shoes are balls. All keys are balls. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.Statements: No boxes are kites. All boxes are shoes. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
9. 9.Statements: All bags are shoes. Some books are bags. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
10. 10.Saanvi is younger than Rohan. Saanvi is older than Meera. Meera is older than Kabir. Who is the oldest? (a) Rohan (b) Saanvi (c) Meera (d) Kabir
11. 11.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
12. 12.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    21 | 24 | 9
    6 | 18 | ?
    27 | 12 | 15
13. 13.27 June is a Sunday. What day of the week is 27 July of the same year? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
14. 14.A wooden cube is painted on all six faces, then each edge is cut into 5 equal parts, making small cubes. How many small cubes have exactly two painted faces?
15. 15.Rule: If the shop is open, then Priya buys milk. Fact: Priya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
16. 16.Statements: No keys are shoes. Some books are shoes. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
17. 17.Which number is the odd one out: 15, 88, 80, 52? (a) 15 (b) 88 (c) 80 (d) 52
18. 18.In a group of 38 children, 6 play cricket, 20 play football and 2 play both. How many play neither of the two?
19. 19.Each person always tells the truth or always lies. Meera says: “Ira and I both tell the truth.” Ira says: “Diya is a liar.” Diya says: “At least one of us two, Meera or I, is a liar.” Is Meera a truth-teller or a liar? (a) truth-teller (b) liar
20. 20.How many degrees does the hour hand of a clock turn in 117 minutes? =
21. 21.If FISH is written as GRHE, how is TREE written in the same code? (a) DDQS (b) SQDD (c) EERT (d) FFSU
22. 22.1 January 2025 is a Wednesday. What day of the week is 10 September 2025? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
23. 23.1 January 2006 is a Sunday. What day of the week is 21 November 2006? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
24. 24.Zoya walks 26 m South, then turns around and walks 18 m. How far is she from the starting point now (in m)?
25. 25.In a group of 48 children, 28 play chess, 20 play carrom and 12 play both. How many play only chess?
26. 26.Five friends (Arjun, Ishaan, Nisha, Priya and Riya) sit in a row. Left and right are as you look at them. Nisha sits just to the right of Arjun. Arjun sits next to both Ishaan and Nisha. Ishaan sits next to both Riya and Arjun. Arjun sits somewhere to the left of Priya. Who sits just to the right of Riya? (a) Priya (b) Riya (c) Ishaan (d) Nisha
27. 27.Which number is the odd one out: 37, 13, 79, 81? (a) 37 (b) 13 (c) 79 (d) 81
28. 28.Find the missing number. The same rule works in every row or in every column.
    6 | 5 | 30
    3 | 5 | 15
    4 | ? | 36
29. 29.Five friends (Aisha, Farhan, Omkar, Rohan and Sneha) sit in a row. Left and right are as you look at them. Sneha sits somewhere to the left of Farhan. Omkar sits next to both Sneha and Farhan. Aisha sits next to both Rohan and Sneha. Who sits just to the left of Omkar? (a) Sneha (b) Aisha (c) Omkar (d) Rohan
30. 30.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 15 − 3 + 7?
32. 32.Marks in a maths test (out of 50): Aarav 19, Kavya 47, Aisha 39, Aditya 27, Siddharth 21. Who has the fewest marks? (a) Siddharth (b) Aarav (c) Aditya (d) Kavya
33. 33.1 January 2012 is a Sunday. What day of the week is 28 April 2012? (a) Sunday (b) Friday (c) Monday (d) Saturday
34. 34.1 November is a Tuesday. What day of the week is 1 December of the same year? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
35. 35.Four friends (Aditya, Omkar, Riya and Sneha) sit in a row. Left and right are as you look at them. Sneha sits somewhere to the left of Aditya. Riya sits just to the right of Sneha. Omkar sits next to both Riya and Aditya. Who sits at the left end? (a) Sneha (b) Omkar (c) Riya (d) Aditya
36. 36.Three friends (Aditya, Ira and Pooja) sit in a row. Left and right are as you look at them. Aditya does not sit at either end. Ira sits at the right end. Who sits just to the left of Aditya? (a) Pooja (b) Aditya (c) Ira
37. 37.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 at least one painted face?
38. 38.Each person always tells the truth or always lies. Ira says: “Yash and I are the same kind.” Yash says: “At least one of us two, Ira or I, is a liar.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
39. 39.In a group of 42 grown-ups, 15 drink tea, 18 drink coffee and 3 drink both. How many drink exactly one of the two?
40. 40.How many degrees does the minute hand of a clock turn in 19 minutes? =

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