Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 791 · 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 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?
2. 2.If MOON is written as OPPN, how is CAKE written in the same code? (a) EKAC (b) DBLF (c) DJZB (d) FLBD
3. 3.Each person always tells the truth or always lies. Kabir says: “Aisha and I are the same kind.” Aisha says: “Kabir is a liar.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
4. 4.If GOLD is written as TLOW, how is PARK written in the same code? (a) LAJQ (b) KZIP (c) QBSL (d) JYHO
5. 5.I am a 2-digit number. My digits add up to 6 and my tens digit is 2 more than my ones digit. What number am I?
6. 6.Omkar walks 10 m South, then turns left and walks 6 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
7. 7.If JUMP is written as PMUJ, how is BELL written in the same code? (a) CFMM (b) MMFC (c) LLEB (d) KKDA
8. 8.I am a 2-digit number. My digits add up to 13. If you swap my two digits, the new number is 45 more than me. What number am I?
9. 9.Four friends (Aditya, Arjun, Kabir and Yash) sit in a row. Left and right are as you look at them. Aditya sits just to the right of Arjun. Arjun sits somewhere to the left of Kabir. Yash sits at the left end. Who sits at the right end? (a) Kabir (b) Arjun (c) Aditya (d) Yash
10. 10.Each person always tells the truth or always lies. Kavya says: “Priya and I are the same kind.” Priya says: “Aditya is a liar.” Aditya says: “Kavya tells the truth.” Is Kavya a truth-teller or a liar? (a) truth-teller (b) liar
11. 11.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 2. What comes out after step 3?
12. 12.I am a 2-digit number. My digits add up to 14. If you swap my two digits, the new number is 18 more than me. What number am I?
13. 13.Find the missing number. The same rule works in every row or in every column.
    20 | 2 | 22
    ? | 16 | 22
    12 | 7 | 19
14. 14.Steps climbed in a minute: Aarav 32, Kabir 49, Vivaan 21, Aisha 59, Kavya 58. How many more steps does Aarav have than Vivaan?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 20 + 4 − 5?
16. 16.Four friends (Aarav, Aditya, Arjun and Neel) sit in a row. Left and right are as you look at them. Aarav sits somewhere to the left of Arjun. Arjun sits just to the right of Aditya. Aditya sits somewhere to the left of Neel. Who sits at the left end? (a) Neel (b) Aditya (c) Aarav (d) Arjun
17. 17.Pooja walks 12 m East, turns right and walks 8 m, then turns right again and walks 6 m. How far is she from the starting point now, in a straight line (in m)?
18. 18.Nisha is taller than Ishaan. Priya is shorter than Ishaan. Who is the second tallest? (a) Ishaan (b) Priya (c) Nisha
19. 19.Find the missing number. The same rule works in every row or in every column.
    14 | 17 | 31
    1 | 6 | 7
    18 | ? | 33
20. 20.Four friends (Isha, Myra, Nisha and Riya) sit in a row. Left and right are as you look at them. Nisha sits next to both Isha and Myra. Isha sits somewhere to the left of Myra. Myra sits at the right end. Who sits at the left end? (a) Riya (b) Isha (c) Myra (d) Nisha
21. 21.The sum of three consecutive even numbers is 132. What is the smallest of them?
22. 22.Kavya walks 17 m West, then turns around and walks 11 m. How far is she from the starting point now (in m)?
23. 23.Rule: If the shop is open, then Tara buys milk. Fact: The shop is open. What can you say about “Tara buys milk”? (a) must be true (b) must be false (c) can't tell
24. 24.Find the missing number. The same rule works in every row or in every column.
    3 | 14 | 8
    14 | ? | 4
    17 | 32 | 12
25. 25.Two standard dice show 5 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
26. 26.Zoya is shorter than Ishaan. Ishaan is shorter than Dev. Who is the shortest? (a) Ishaan (b) Dev (c) Zoya
27. 27.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
28. 28.Statements: All shoes are boxes. All balls are shoes. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.Aarav walks 4 km East, then turns right and walks 3 km. How far is he from the starting point now, in a straight line (in km)?
30. 30.Each person always tells the truth or always lies. Aditya says: “Aarav and I both tell the truth.” Aarav says: “At least one of us two, Aditya or I, is a liar.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.Kabir is a boy. How is Kabir’s father’s only son’s sister related to Kabir? (a) aunt (b) mother (c) cousin (d) sister
32. 32.Which number is the odd one out: 7, 42, 66, 78? (a) 7 (b) 42 (c) 66 (d) 78
33. 33.If LION is written as MNHK, how is CAT written in the same code? (a) SZB (b) UBD (c) TAC (d) BZS
34. 34.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not finish the homework. What can you say about “Arjun does not go to the park”? (a) must be true (b) must be false (c) can't tell
35. 35.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 2. What comes out after step 2?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 5 + 17 − 19?
37. 37.I am a 2-digit number. My digits add up to 3 and my tens digit is 1 more than my ones digit. What number am I?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 19 + 5 ÷ 10?
39. 39.In a group of 26 children, 13 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
40. 40.Meera walks 6 m East, turns right and walks 3 m, then turns right again and walks 2 m. How far is she from the starting point now, in a straight line (in m)?

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