Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 568 · 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.Each person always tells the truth or always lies. Rohan says: “Aditya tells the truth.” Aditya says: “Rohan and I are the same kind.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.Five friends (Isha, Karan, Nisha, Sneha and Tara) sit in a row. Left and right are as you look at them. Nisha does not sit at either end. Nisha sits next to both Sneha and Tara. Isha sits somewhere to the left of Nisha. Sneha sits next to both Isha and Nisha. Karan sits at the right end. Who sits just to the left of Nisha? (a) Isha (b) Nisha (c) Sneha (d) Tara
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 4 ÷ 19 − 2?
4. 4.Which number is the odd one out: 24, 78, 17, 48? (a) 24 (b) 78 (c) 17 (d) 48
5. 5.In a group of 45 children, 16 play cricket, 21 play football and 4 play both. How many play neither of the two?
6. 6.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 6. What comes out after step 3?
7. 7.Ishaan is a boy. How is Ishaan’s mother’s brother related to Ishaan? (a) cousin (b) brother (c) uncle (d) grandfather
8. 8.If BOAT is written as TAOB, how is BOOK written in the same code? (a) CPPL (b) LPPC (c) JNNA (d) KOOB
9. 9.Statements: All balls are keys. All keys are pens. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
10. 10.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 2 ÷ 11 − 2?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 10 ÷ 4 × 7?
13. 13.Find the missing number. The same rule works in every row or in every column.
    5 | 4 | 16
    20 | 2 | 3
    12 | 2 | ?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 14 ÷ 5 × 2?
15. 15.Arjun is a boy. How is Arjun’s mother’s only daughter related to Arjun? (a) niece (b) aunt (c) sister (d) mother
16. 16.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya does not get a gold star. What can you say about “Zoya scores above 90”? (a) must be true (b) must be false (c) can't tell
17. 17.Which capital letter does NOT look the same in a mirror? (a) H (b) V (c) A (d) K
18. 18.Four friends (Aarav, Kavya, Meera and Pooja) sit in a row. Left and right are as you look at them. Pooja sits next to both Kavya and Meera. Aarav sits just to the right of Meera. Who sits at the right end? (a) Meera (b) Pooja (c) Kavya (d) Aarav
19. 19.Which number is the odd one out: 99, 53, 31, 3? (a) 99 (b) 53 (c) 31 (d) 3
20. 20.Marks in a maths test (out of 50): Kabir 29, Aditya 41, Siddharth 49, Ishaan 28, Ira 33. Who has the fewest marks? (a) Ishaan (b) Ira (c) Siddharth (d) Kabir
21. 21.Statements: Some bags are shoes. Some shoes are books. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
22. 22.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    11 | 32 | 17
    ? | 20 | 14
    23 | 8 | 29
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 14 × 3 − 2?
24. 24.Two standard dice show 1 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
25. 25.Kabir walks 16 m South, then turns right and walks 12 m. How far is he from the starting point now, in a straight line (in m)?
26. 26.I am a 2-digit number. My digits add up to 9 and my tens digit is 1 more than my ones digit. What number am I?
27. 27.A clock shows 5:46. What time does it show in a mirror? (a) 5:14 (b) 7:14 (c) 7:46 (d) 6:14
28. 28.Four friends (Aarav, Kabir, Manav and Rohan) sit in a row. Left and right are as you look at them. Rohan does not sit at either end. Aarav does not sit at either end. Manav sits just to the right of Rohan. Who sits at the left end? (a) Aarav (b) Manav (c) Kabir (d) Rohan
29. 29.Find the missing number. The same rule works in every row or in every column.
    4 | 17 | 6
    9 | 10 | 8
    ? | 13 | 13
30. 30.Sneha is taller than Karan. Sneha is shorter than Rohan. Who is the second shortest? (a) Sneha (b) Rohan (c) Karan
31. 31.Find the missing number. The same rule works in every row or in every column.
    4 | 12 | 14
    1 | 19 | 10
    5 | 31 | ?
32. 32.Find the missing number. The same rule works in every row or in every column.
    2 | 17 | 3
    5 | 13 | 4
    2 | 15 | ?
33. 33.A number machine multiplies a number by 2 and then takes away 4. Each output goes back in as the next input. Start with 6. What comes out after step 2?
34. 34.Find the missing number. The same rule works in every row or in every column.
    9 | 8 | 72
    4 | 8 | 32
    4 | 2 | ?
35. 35.Five friends (Diya, Neel, Omkar, Tara and Zoya) sit in a row. Left and right are as you look at them. Omkar sits next to both Neel and Zoya. Neel sits just to the right of Diya. Tara sits somewhere to the left of Zoya. Who sits just to the right of Neel? (a) Tara (b) Omkar (c) Diya (d) Zoya
36. 36.Statements: All bells are shoes. All rings are bells. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
37. 37.Which number is the odd one out: 13, 32, 48, 96? (a) 13 (b) 32 (c) 48 (d) 96
38. 38.Which number is the odd one out: 8, 48, 58, 24? (a) 8 (b) 48 (c) 58 (d) 24
39. 39.A clock shows 9:30. What time will it show 64 minutes later? (a) 11:34 (b) 10:24 (c) 10:34 (d) 10:44
40. 40.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 6. What comes out after step 3?

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