Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 143 · 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.The sum of three consecutive numbers is 54. What is the largest of them?
2. 2.Statements: No pens are boxes. All shoes are boxes. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.Statements: Some bells are pens. All books are bells. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
4. 4.Priya walks 8 m South, then turns right and walks 6 m. How far is she from the starting point now, in a straight line (in m)?
5. 5.Five friends (Ira, Myra, Neel, Rohan and Yash) sit in a row. Left and right are as you look at them. Ira does not sit at either end. Ira sits next to both Rohan and Neel. Myra sits somewhere to the left of Neel. Rohan does not sit at either end. Ira sits just to the right of Rohan. Myra sits at the left end. Rohan sits somewhere to the left of Yash. Who sits at the right end? (a) Neel (b) Ira (c) Yash (d) Myra
6. 6.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 exactly three painted faces?
7. 7.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?
8. 8.Each person always tells the truth or always lies. Nisha says: “Pooja and I are different kinds.” Pooja says: “Nisha is a liar.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
10. 10.I am a 2-digit number. My digits add up to 6 and my tens digit is 6 more than my ones digit. What number am I?
11. 11.Rohan is a boy. How is Rohan’s father’s father’s only son related to Rohan? (a) father (b) uncle (c) brother (d) grandfather
12. 12.Marks in a maths test (out of 50): Priya 27, Myra 37, Siddharth 26, Sneha 31, Aditya 32. What is the difference between the highest and the lowest?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 6 ÷ 6 × 11?
14. 14.A clock shows 4:48. What time will it show 114 minutes later? (a) 6:52 (b) 7:42 (c) 6:32 (d) 6:42
15. 15.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: 29 20 42 67 49 39. After step 3, what is the 3rd number from the left?
16. 16.Each person always tells the truth or always lies. Diya says: “Neel and I both tell the truth.” Neel says: “Diya and I are the same kind.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.In a group of 31 children, 19 like mangoes, 12 like bananas and 8 like both. How many like at least one of the two?
18. 18.The sum of three consecutive numbers is 174. What is the largest of them?
19. 19.Nisha is a girl. How is Nisha’s brother’s wife related to Nisha? (a) sister-in-law (b) cousin (c) aunt (d) sister
20. 20.Omkar is older than Dev. Omkar is younger than Yash. Dev is older than Riya. Who is the oldest? (a) Riya (b) Dev (c) Omkar (d) Yash
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 14 ÷ 19 × 5?
22. 22.A clock shows 7:55. What time does it show in a mirror? (a) 3:05 (b) 5:55 (c) 4:05 (d) 5:05
23. 23.Aditya, Meera and Sneha each have a different pet: tortoise, dog or parrot. Aditya does not have the dog. Sneha does not have the parrot. Aditya does not have the tortoise. Sneha does not have the dog. Who has the tortoise? (a) Aditya (b) Meera (c) Sneha
24. 24.Aisha walks 5 m South, then turns left and walks 5 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
25. 25.Find the missing number. The same rule works in every row or in every column.
    6 | 4 | 24
    4 | 7 | ?
    4 | 4 | 16
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 10 − 14 + 10?
27. 27.Statements: All rings are bags. All bags are bells. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
28. 28.Ira is a girl. How is Ira’s brother’s wife related to Ira? (a) sister-in-law (b) aunt (c) cousin (d) sister
29. 29.Statements: No boxes are keys. All books are boxes. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
30. 30.Each person always tells the truth or always lies. Priya says: “Karan and I both tell the truth.” Karan says: “Priya is a liar.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.Kabir is a boy. How is Kabir’s daughter’s husband related to Kabir? (a) son (b) brother-in-law (c) son-in-law (d) nephew
32. 32.Manav, Ira and Zoya each have a different pet: parrot, dog or tortoise. Ira does not have the tortoise. Manav does not have the dog. Manav does not have the tortoise. Who has the parrot? (a) Manav (b) Ira (c) Zoya
33. 33.Statements: All shoes are bags. All bags are coins. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
34. 34.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    18 | 8 | 22
    20 | ? | 12
    10 | 24 | 14
35. 35.Isha is lighter than Ananya. Isha is heavier than Tara. Tara is heavier than Nisha. Who is the second lightest? (a) Nisha (b) Tara (c) Isha (d) Ananya
36. 36.Each person always tells the truth or always lies. Pooja says: “Siddharth and I are the same kind.” Siddharth says: “Pooja tells the truth.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.If TOYS is written as SYOT, how is NEST written in the same code? (a) OFTU (b) UTFO (c) TSEN (d) SRDM
38. 38.Farhan walks 5 m East, then turns left and walks 12 m. How far is he from the starting point now, in a straight line (in m)?
39. 39.In a group of 23 children, 12 sing Hindi songs, 15 sing English songs and 9 sing both. How many sing neither of the two?
40. 40.10 November is a Monday. What day of the week is 10 December of the same year? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday

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