Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 718 · 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.Aisha, Arjun and Meera each have a bag of a different colour: green, blue or white. Arjun’s bag is not white. Meera’s bag is not white. Meera’s bag is not green. What colour is Aisha’s bag? (a) green (b) blue (c) white
2. 2.Arjun walks 12 km West, then turns right and walks 9 km. How far is he from the starting point now, in a straight line (in km)?
3. 3.If KITE is written as DSHJ, how is LION written in the same code? (a) OPJM (b) NOIL (c) KHNM (d) MNHK
4. 4.Each person always tells the truth or always lies. Riya says: “Kabir and I both tell the truth.” Kabir says: “Karan tells the truth.” Karan says: “Riya and I are the same kind.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
5. 5.In a group of 29 children, 16 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
6. 6.Arjun, Ishaan and Aisha each have a different pet: parrot, rabbit or cat. Arjun does not have the cat. Aisha does not have the cat. Arjun does not have the rabbit. Who has the parrot? (a) Arjun (b) Ishaan (c) Aisha
7. 7.Statements: All kites are bells. Some boxes are bells. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.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?
9. 9.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 6. What comes out after step 2?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 14 + 19 × 7?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 19 ÷ 15 × 4?
12. 12.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly two painted faces?
13. 13.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?
14. 14.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) S (b) P (c) D (d) W
15. 15.Meera walks 5 m East, then turns left and walks 11 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
16. 16.Today is Monday. What day of the week will it be 78 days from today? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
17. 17.Which number is the odd one out: 44, 41, 79, 31? (a) 44 (b) 41 (c) 79 (d) 31
18. 18.Find the missing number. The same rule works in every row or in every column.
    3 | 8 | ?
    2 | 4 | 8
    9 | 9 | 81
19. 19.Which number is the odd one out: 41, 31, 12, 67? (a) 41 (b) 31 (c) 12 (d) 67
20. 20.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 5. What comes out after step 2?
21. 21.If LAMP is written as OZNK, how is RAIN written in the same code? (a) HYQL (b) JASN (c) SBJO (d) IZRM
22. 22.Aarav, Nisha and Arjun each have a different pet: tortoise, cat or dog. Nisha does not have the tortoise. Arjun does not have the cat. Arjun does not have the dog. Aarav does not have the dog. Who has the cat? (a) Aarav (b) Nisha (c) Arjun
23. 23.Five friends (Myra, Pooja, Rahul, Rohan and Yash) sit in a row. Left and right are as you look at them. Yash sits next to both Pooja and Rohan. Pooja sits just to the right of Rahul. Rohan does not sit at either end. Who sits at the left end? (a) Yash (b) Pooja (c) Rahul (d) Myra
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 7 − 7 ÷ 18?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 3 + 12 × 15?
26. 26.Find the missing number. The same rule works in every row or in every column.
    13 | 10 | 23
    13 | 15 | 28
    14 | 15 | ?
27. 27.Meera, Aarav and Yash each have a different pet: dog, parrot or cat. Aarav does not have the dog. Yash does not have the dog. Yash does not have the cat. Who has the dog? (a) Meera (b) Aarav (c) Yash
28. 28.Ishaan is lighter than Karan. Karan is lighter than Manav. Who is the lightest? (a) Manav (b) Ishaan (c) Karan
29. 29.If NEST is written as UTFO, how is KITE written in the same code? (a) ETIK (b) DSHJ (c) FUJL (d) LJUF
30. 30.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 4. What comes out after step 2?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 5 ÷ 3 + 13?
32. 32.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 3. What comes out after step 3?
33. 33.Omkar walks 29 m North, then turns around and walks 16 m. How far is he from the starting point now (in m)?
34. 34.Rahul walks 5 m North, then turns right and walks 10 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
35. 35.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is not open. What can you say about “Aditya buys milk”? (a) must be true (b) must be false (c) can't tell
36. 36.Three friends (Farhan, Meera and Tara) sit in a row. Left and right are as you look at them. Tara sits next to both Meera and Farhan. Farhan sits just to the right of Tara. Who sits at the left end? (a) Tara (b) Farhan (c) Meera
37. 37.In a group of 19 children, 9 play chess, 7 play carrom and 3 play both. How many play exactly one of the two?
38. 38.In a group of 46 children, 22 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
39. 39.If MOON is written as OQQP, how is PARK written in the same code? (a) NYPI (b) QBSL (c) SDUN (d) RCTM
40. 40.In a group of 49 children, 27 enjoy drawing, 25 enjoy dancing and 10 enjoy both. How many enjoy only drawing?

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