Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 190 · 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.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: 72 99 44 57 16 65. After step 2, what is the 5th number from the left?
2. 2.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have at least one painted face?
3. 3.I am a 2-digit number. My digits add up to 11 and my tens digit is 3 more than my ones digit. What number am I?
4. 4.Each person always tells the truth or always lies. Aarav says: “Manav and I are different kinds.” Kavya says: “At least one of us two, Aarav or I, is a liar.” Manav says: “Aarav and I are different kinds.” Is Kavya a truth-teller or a liar? (a) truth-teller (b) liar
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 12 + 7 × 11?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 4 + 12 × 4?
7. 7.Which number is the odd one out: 5, 46, 10, 86? (a) 5 (b) 46 (c) 10 (d) 86
8. 8.Which capital letter looks exactly the same in a mirror? (a) X (b) N (c) S (d) Z
9. 9.Each person always tells the truth or always lies. Myra says: “Neel and I are the same kind.” Neel says: “Myra is a liar.” Is Myra a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.If SUN is written as QSL, how is HAND written in the same code? (a) FYLB (b) JCPF (c) GZMC (d) EXKA
11. 11.Each person always tells the truth or always lies. Vivaan says: “At least one of us two, Isha or I, is a liar.” Isha says: “Vivaan is a liar.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
12. 12.If BOAT is written as DQCV, how is NEST written in the same code? (a) OFTU (b) LCQR (c) PGUV (d) QHVW
13. 13.Each person always tells the truth or always lies. Karan says: “Pooja is a liar.” Pooja says: “Myra and I are the same kind.” Myra says: “Pooja is a liar.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Riya, Meera and Manav each have a different pet: dog, cat or parrot. Riya does not have the parrot. Manav does not have the dog. Meera does not have the dog. Manav does not have the cat. Who has the dog? (a) Riya (b) Meera (c) Manav
15. 15.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 two painted faces?
16. 16.A clock shows 5:52. What time does it show in a mirror? (a) 5:08 (b) 7:08 (c) 7:52 (d) 6:08
17. 17.Which number is the odd one out: 3, 79, 27, 83? (a) 3 (b) 79 (c) 27 (d) 83
18. 18.A clock shows 7:27. What time will it show 24 minutes later? (a) 7:51 (b) 7:41 (c) 8:51 (d) 8:01
19. 19.Each person always tells the truth or always lies. Ananya says: “Farhan tells the truth.” Farhan says: “Aarav and I are the same kind.” Aarav says: “Farhan tells the truth.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
20. 20.Five friends (Dev, Myra, Omkar, Priya and Tara) sit in a row. Left and right are as you look at them. Priya sits somewhere to the left of Dev. Tara sits somewhere to the left of Dev. Omkar does not sit at either end. Myra sits next to both Tara and Omkar. Myra sits just to the right of Tara. Dev sits just to the right of Omkar. Who sits at the left end? (a) Omkar (b) Priya (c) Tara (d) Dev
21. 21.Statements: No boxes are books. No pens are books. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
22. 22.Four friends (Ira, Myra, Nisha and Tara) sit in a row. Left and right are as you look at them. Tara sits just to the right of Ira. Nisha sits somewhere to the left of Myra. Nisha sits at the left end. Ira sits next to both Nisha and Tara. Who sits just to the right of Nisha? (a) Tara (b) Myra (c) Ira (d) Nisha
23. 23.Find the missing number. The same rule works in every row or in every column.
    5 | 16 | 21
    5 | 18 | 23
    3 | ? | 8
24. 24.Statements: All bells are coins. No caps are coins. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
25. 25.Two standard dice show 1 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
26. 26.Find the missing number. The same rule works in every row or in every column.
    4 | 8 | 2
    4 | 5 | ?
    10 | 3 | 1
27. 27.Which capital letter does NOT look the same in a mirror? (a) T (b) P (c) U (d) W
28. 28.Statements: All coins are rings. Some rings are balls. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.Meera is a girl. How is Meera’s mother’s father related to Meera? (a) grandson (b) father (c) uncle (d) grandfather
30. 30.Find the missing number. The same rule works in every row or in every column.
    ? | 3 | 7
    5 | 5 | 10
    17 | 1 | 18
31. 31.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    15 | 8 | 13
    ? | 12 | 14
    11 | 16 | 9
32. 32.Yash is a boy. How is Yash’s sister’s daughter related to Yash? (a) sister (b) daughter (c) aunt (d) niece
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 10 − 13 + 3?
34. 34.Find the missing number. The same rule works in every row or in every column.
    18 | 17 | 35
    ? | 19 | 26
    17 | 12 | 29
35. 35.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
36. 36.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
37. 37.Statements: All coins are boxes. All boxes are pens. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
38. 38.If GOLD is written as EMJB, how is BOOK written in the same code? (a) ANNJ (b) YLLH (c) ZMMI (d) DQQM
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 11 × 7 ÷ 3?
40. 40.Ishaan walks 8 m North, then turns right and walks 2 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West

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