Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 146 · 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.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
2. 2.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly two painted faces?
3. 3.Nisha walks 4 m West, then turns right and walks 7 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
4. 4.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 no painted face?
5. 5.Kabir runs faster than Neel. Aisha runs slower than Neel. Who runs the second fastest? (a) Kabir (b) Aisha (c) Neel
6. 6.Which number is the odd one out: 75, 61, 73, 11? (a) 75 (b) 61 (c) 73 (d) 11
7. 7.1 January 2023 is a Sunday. What day of the week is 29 September 2023? (a) Saturday (b) Thursday (c) Friday (d) Sunday
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 13 ÷ 10 − 4?
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: 32 11 46 43 36 97. After step 2, what is the 3rd number from the left?
10. 10.Each person always tells the truth or always lies. Vivaan says: “At least one of us two, Aisha or I, is a liar.” Farhan says: “Aisha and I both tell the truth.” Aisha says: “Farhan tells the truth.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
11. 11.Which number is the odd one out: 96, 65, 48, 88? (a) 96 (b) 65 (c) 48 (d) 88
12. 12.Find the missing number. The same rule works in every row or in every column.
    3 | 4 | 12
    6 | 5 | 30
    2 | 9 | ?
13. 13.Steps climbed in a minute: Diya 66, Myra 70, Farhan 24, Karan 82, Priya 22. What is the total for all five children?
14. 14.Rule: If the shop is open, then Ishaan buys milk. Fact: The shop is open. What can you say about “Ishaan does not buy milk”? (a) must be true (b) must be false (c) can't tell
15. 15.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) V (b) T (c) D (d) N
16. 16.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have no painted face?
17. 17.The sum of three consecutive even numbers is 234. What is the smallest of them?
18. 18.The sum of three consecutive even numbers is 30. What is the largest of them?
19. 19.If KITE is written as ETIK, how is SHIP written in the same code? (a) TIJQ (b) OHGR (c) PIHS (d) QJIT
20. 20.Pooja is facing West. She turns around (a half turn), then turns left, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
21. 21.Each person always tells the truth or always lies. Aarav says: “Rohan and I are different kinds.” Rohan says: “Aarav is a liar.” Saanvi says: “Rohan tells the truth.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
22. 22.Which number is the odd one out: 79, 37, 63, 73? (a) 79 (b) 37 (c) 63 (d) 73
23. 23.Omkar is a boy. How is Omkar’s sister’s daughter related to Omkar? (a) sister (b) aunt (c) niece (d) daughter
24. 24.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: 40 36 65 97 52 32. After step 4, what is the 4th number from the left?
25. 25.Kabir is a boy. How is Kabir’s mother’s father related to Kabir? (a) uncle (b) father (c) grandson (d) grandfather
26. 26.Marks in a maths test (out of 50): Myra 25, Meera 32, Priya 39, Aditya 43, Farhan 17. How many children have more than 18 marks?
27. 27.How many degrees does the minute hand of a clock turn in 27 minutes? =
28. 28.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: 31 21 78 39 83 66. After step 3, what is the 4th number from the left?
29. 29.Three friends (Kabir, Rohan and Yash) sit in a row. Left and right are as you look at them. Rohan sits just to the right of Yash. Kabir sits somewhere to the left of Rohan. Who sits just to the right of Kabir? (a) Rohan (b) Yash (c) Kabir
30. 30.Zoya runs faster than Myra. Zoya runs slower than Karan. Who runs the slowest? (a) Myra (b) Karan (c) Zoya
31. 31.If TREE is written as USFF, how is PEN written in the same code? (a) ODM (b) QFO (c) RGP (d) OFQ
32. 32.Find the missing number. The same rule works in every row or in every column.
    2 | 4 | 8
    8 | 8 | 64
    3 | 4 | ?
33. 33.Five friends (Aarav, Farhan, Isha, Karan and Sneha) sit in a row. Left and right are as you look at them. Karan sits at the left end. Aarav sits just to the right of Sneha. Sneha sits somewhere to the left of Farhan. Aarav sits somewhere to the left of Isha. Aarav sits next to both Sneha and Farhan. Who sits at the right end? (a) Karan (b) Farhan (c) Isha (d) Sneha
34. 34.Statements: Some bells are keys. No bells are pens. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
35. 35.Find the missing number. The same rule works in every row or in every column.
    6 | 13 | 10
    15 | 11 | 3
    22 | 4 | ?
36. 36.Which number is the odd one out: 17, 16, 41, 13? (a) 17 (b) 16 (c) 41 (d) 13
37. 37.If CAT is written as XZG, how is LAMP written in the same code? (a) PAOL (b) MBNQ (c) NYMJ (d) OZNK
38. 38.If JUMP is written as QFNK, how is TREE written in the same code? (a) GIVV (b) FHUU (c) USFF (d) HJWW
39. 39.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya does not score above 90. What can you say about “Kavya gets a gold star”? (a) must be true (b) must be false (c) can't tell
40. 40.Myra, Sneha and Aisha each have a different pet: cat, rabbit or tortoise. Sneha does not have the tortoise. Myra does not have the rabbit. Aisha does not have the tortoise. Sneha does not have the cat. Which pet does Sneha have? (a) cat (b) rabbit (c) tortoise

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