Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 231 · 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: 9, 79, 17, 3? (a) 9 (b) 79 (c) 17 (d) 3
2. 2.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: 43 79 50 66 64 19. After step 2, what is the 6th number from the left?
3. 3.Which capital letter looks exactly the same in a mirror? (a) B (b) Y (c) E (d) Q
4. 4.Zoya is taller than Nisha. Aditya is shorter than Rohan. Aditya is taller than Zoya. Who is the shortest? (a) Rohan (b) Zoya (c) Aditya (d) Nisha
5. 5.Arjun walks 10 m South, turns right and walks 3 m, then turns right again and walks 6 m. How far is he from the starting point now, in a straight line (in m)?
6. 6.Rule: If the shop is open, then Isha buys milk. Fact: Isha does not buy milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
7. 7.If NEST is written as QHVW, how is BOAT written in the same code? (a) FSEX (b) YLXQ (c) ERDW (d) DQCV
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 11 − 3 + 19?
9. 9.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya does not finish the homework. What can you say about “Priya goes to the park”? (a) must be true (b) must be false (c) can't tell
10. 10.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 5. What comes out after step 2?
11. 11.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have exactly one painted face?
12. 12.Find the missing number. The same rule works in every row or in every column.
    16 | 4 | 8
    11 | 9 | 9
    27 | 13 | ?
13. 13.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 53 37 22 15 74 58. After step 2, what is the 1st number from the left?
14. 14.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?
15. 15.Each person always tells the truth or always lies. Diya says: “Sneha and I both tell the truth.” Sneha says: “Diya and I are the same kind.” Ira says: “Diya is a liar.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar
16. 16.Kites flown at Makar Sankranti: Neel 7, Manav 12, Saanvi 10, Ira 15, Aditya 3. Who has the most kites? (a) Neel (b) Manav (c) Saanvi (d) Ira
17. 17.Each person always tells the truth or always lies. Aarav says: “Ishaan and I are the same kind.” Ishaan says: “Aarav and I both tell the truth.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
18. 18.Statements: Some keys are caps. All caps are bags. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
19. 19.In a group of 29 children, 21 play cricket, 13 play football and 6 play both. How many play exactly one of the two?
20. 20.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly one painted face?
21. 21.Rahul is facing East. He turns around (a half turn), then turns left, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
22. 22.Kabir is facing East. He turns around (a half turn), then turns right, then turns right, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
23. 23.Which capital letter looks exactly the same in a mirror? (a) W (b) J (c) R (d) S
24. 24.Kabir is younger than Sneha. Sneha is younger than Diya. Who is the youngest? (a) Sneha (b) Kabir (c) Diya
25. 25.Two standard dice show 2 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 18 − 7 + 10?
27. 27.1 January 2039 is a Saturday. What day of the week is 14 August 2039? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
28. 28.Each person always tells the truth or always lies. Ira says: “Farhan and I are different kinds.” Farhan says: “Ira and I are the same kind.” Priya says: “At least one of us two, Farhan or I, is a liar.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
29. 29.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
30. 30.Statements: All boxes are keys. Some keys are cups. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.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: 70 69 45 97 84 98. After step 2, what is the 5th number from the left?
32. 32.Karan is heavier than Rohan. Karan is lighter than Dev. Rohan is heavier than Manav. Who is the heaviest? (a) Dev (b) Karan (c) Rohan (d) Manav
33. 33.How many degrees does the minute hand of a clock turn in 40 minutes? =
34. 34.Trees planted in a week: Ira 31, Kavya 13, Yash 37, Saanvi 10, Dev 12. How many more trees does Kavya have than Dev?
35. 35.In a group of 42 children, 20 like mangoes, 11 like bananas and 3 like both. How many like at least one of the two?
36. 36.A clock shows 8:27. What time does it show in a mirror? (a) 4:33 (b) 2:33 (c) 4:27 (d) 3:33
37. 37.Yash is a boy. How is Yash’s son’s wife related to Yash? (a) sister-in-law (b) daughter (c) niece (d) daughter-in-law
38. 38.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    3 | 8 | 7
    10 | 6 | 2
    5 | ? | 9
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 13 + 5 − 4?
40. 40.Which number is the odd one out: 37, 73, 31, 86? (a) 37 (b) 73 (c) 31 (d) 86

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