Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 602 · 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.Which number is the odd one out: 25, 61, 43, 89? (a) 25 (b) 61 (c) 43 (d) 89
2. 2.Which number is the odd one out: 97, 89, 56, 53? (a) 97 (b) 89 (c) 56 (d) 53
3. 3.Which capital letter does NOT look the same in a mirror? (a) M (b) U (c) I (d) Q
4. 4.Each person always tells the truth or always lies. Kabir says: “Isha tells the truth.” Isha says: “Kabir and I are different kinds.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
5. 5.Which number is the odd one out: 23, 16, 61, 89? (a) 23 (b) 16 (c) 61 (d) 89
6. 6.Pooja, Aditya and Kavya each have a bag of a different colour: green, red or blue. Aditya’s bag is not blue. Kavya’s bag is not blue. Aditya’s bag is not red. Whose bag is red? (a) Pooja (b) Aditya (c) Kavya
7. 7.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have no painted face?
8. 8.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?
9. 9.Each person always tells the truth or always lies. Ira says: “At least one of us two, Dev or I, is a liar.” Dev says: “Omkar and I are the same kind.” Omkar says: “Ira and I both tell the truth.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.Farhan runs faster than Aarav. Kabir runs faster than Farhan. Who runs the second fastest? (a) Aarav (b) Kabir (c) Farhan
11. 11.Which number is the odd one out: 61, 11, 88, 71? (a) 61 (b) 11 (c) 88 (d) 71
12. 12.Isha, Aditya and Neel each have a bag of a different colour: green, blue or white. Isha’s bag is not green. Neel’s bag is not white. Aditya’s bag is not blue. Isha’s bag is not white. What colour is Isha’s bag? (a) green (b) blue (c) white
13. 13.Which capital letter looks exactly the same in a mirror? (a) W (b) C (c) B (d) G
14. 14.Kabir runs slower than Farhan. Neel runs faster than Dev. Dev runs faster than Farhan. Who runs the second slowest? (a) Dev (b) Kabir (c) Neel (d) Farhan
15. 15.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly three painted faces?
16. 16.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: 11 19 76 29 90 82. After step 4, what is the 1st number from the left?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 2 − 8 × 3?
18. 18.Which number is the odd one out: 29, 97, 66, 33? (a) 29 (b) 97 (c) 66 (d) 33
19. 19.If PARK is written as JQZO, how is KITE written in the same code? (a) FUJL (b) JHSD (c) DSHJ (d) ETIK
20. 20.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
21. 21.Yash, Dev and Aditya each have a different pet: cat, rabbit or dog. Yash does not have the cat. Dev does not have the cat. Dev does not have the rabbit. Which pet does Dev have? (a) cat (b) rabbit (c) dog
22. 22.Statements: No coins are toys. No coins are books. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
23. 23.Nisha walks 14 m East, then turns right and walks 9 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
24. 24.Each person always tells the truth or always lies. Karan says: “Sneha is a liar.” Sneha says: “At least one of us two, Karan or I, is a liar.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
25. 25.In a group of 30 children, 19 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
26. 26.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    24 | 27 | 12
    9 | 21 | 33
    30 | ? | 18
27. 27.Statements: Some bells are kites. All keys are bells. Conclusion: All kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
28. 28.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) X (b) V (c) R (d) S
29. 29.Today is Sunday. What day of the week will it be 34 days from today? (a) Sunday (b) Friday (c) Saturday (d) Monday
30. 30.Ishaan is a boy. How is Ishaan’s daughter’s husband related to Ishaan? (a) son (b) son-in-law (c) nephew (d) brother-in-law
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 2 + 3 × 8?
32. 32.Farhan walks 8 m West, then turns left and walks 15 m. How far is he from the starting point now, in a straight line (in m)?
33. 33.Rohan walks 13 m West, then turns around and walks 11 m. How far is he from the starting point now (in m)?
34. 34.Each person always tells the truth or always lies. Yash says: “Tara and I are different kinds.” Tara says: “Yash is a liar.” Arjun says: “Tara is a liar.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
35. 35.Four friends (Arjun, Diya, Nisha and Sneha) sit in a row. Left and right are as you look at them. Nisha does not sit at either end. Arjun sits next to both Diya and Nisha. Arjun sits somewhere to the left of Sneha. Who sits at the left end? (a) Sneha (b) Nisha (c) Arjun (d) Diya
36. 36.Four friends (Aditya, Isha, Kavya and Omkar) sit in a row. Left and right are as you look at them. Kavya sits just to the right of Isha. Omkar sits somewhere to the left of Kavya. Aditya sits somewhere to the left of Kavya. Omkar sits at the left end. Who sits just to the left of Isha? (a) Kavya (b) Aditya (c) Isha (d) Omkar
37. 37.If PARK is written as KZIP, how is BOOK written in the same code? (a) YLLP (b) XKKO (c) ZMMQ (d) CPPL
38. 38.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have exactly one painted face?
39. 39.Each person always tells the truth or always lies. Pooja says: “Aditya and I are different kinds.” Aditya says: “Pooja and I are the same kind.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
40. 40.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 4. What comes out after step 2?

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