Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 828 · 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.In a group of 32 grown-ups, 14 drink tea, 12 drink coffee and 4 drink both. How many drink exactly one of the two?
2. 2.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: 98 22 93 99 34 15. After step 3, what is the 2nd number from the left?
3. 3.A clock shows 11:32. What time will it show 164 minutes later? (a) 2:26 (b) 2:06 (c) 2:16 (d) 3:16
4. 4.Karan is heavier than Dev. Dev is heavier than Omkar. Karan is lighter than Pooja. Who is the lightest? (a) Dev (b) Omkar (c) Pooja (d) Karan
5. 5.Farhan is a boy. How is Farhan’s mother’s brother related to Farhan? (a) brother (b) cousin (c) uncle (d) grandfather
6. 6.Isha is taller than Riya. Ananya is shorter than Neel. Neel is shorter than Riya. Who is the second tallest? (a) Isha (b) Riya (c) Neel (d) Ananya
7. 7.1 January 2008 is a Tuesday. What day of the week is 17 December 2008? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
8. 8.Five friends (Aarav, Aditya, Arjun, Neel and Pooja) sit in a row. Left and right are as you look at them. Arjun sits next to both Aditya and Neel. Aarav sits just to the right of Pooja. Pooja sits somewhere to the left of Neel. Aditya does not sit at either end. Who sits at the right end? (a) Neel (b) Pooja (c) Aditya (d) Aarav
9. 9.Which number is the odd one out: 14, 83, 13, 7? (a) 14 (b) 83 (c) 13 (d) 7
10. 10.Aarav, Yash and Vivaan each play a different game: cricket, chess or carrom. Yash does not play cricket. Vivaan does not play cricket. Yash does not play chess. Who plays cricket? (a) Aarav (b) Yash (c) Vivaan
11. 11.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    12 | 26 | 16
    22 | 18 | ?
    20 | 10 | 24
12. 12.Each person always tells the truth or always lies. Rahul says: “Myra and I are different kinds.” Myra says: “Rahul and I are different kinds.” Is Myra a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.Which capital letter looks exactly the same in a mirror? (a) R (b) C (c) K (d) A
14. 14.Aarav is facing North. He turns left, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
15. 15.In a group of 32 children, 10 like mangoes, 13 like bananas and 3 like both. How many like only bananas?
16. 16.In a group of 27 children, 13 sing Hindi songs, 18 sing English songs and 8 sing both. How many sing at least one of the two?
17. 17.Which capital letter does NOT look the same in a mirror? (a) X (b) E (c) I (d) H
18. 18.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?
19. 19.Siddharth is younger than Meera. Aarav is older than Meera. Aarav is younger than Arjun. Who is the second oldest? (a) Meera (b) Aarav (c) Arjun (d) Siddharth
20. 20.Find the missing number. The same rule works in every row or in every column.
    4 | 4 | 14
    5 | 4 | 13
    6 | ? | 12
21. 21.Arjun walks 8 m North, then turns around and walks 4 m. How far is he from the starting point now (in m)?
22. 22.How many degrees does the minute hand of a clock turn in 13 minutes? =
23. 23.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 6. What comes out after step 3?
24. 24.Statements: Some pens are cups. All caps are cups. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
25. 25.Aditya walks 13 m West, turns right and walks 24 m, then turns right again and walks 6 m. How far is he from the starting point now, in a straight line (in m)?
26. 26.Which capital letter looks exactly the same in a mirror? (a) D (b) Q (c) P (d) W
27. 27.Each person always tells the truth or always lies. Meera says: “Kavya is a liar.” Kavya says: “Meera and I both tell the truth.” Is Kavya a truth-teller or a liar? (a) truth-teller (b) liar
28. 28.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have no painted face?
29. 29.Tara runs faster than Rohan. Myra runs faster than Tara. Who runs the fastest? (a) Rohan (b) Tara (c) Myra
30. 30.Pooja is a girl. How is Pooja’s father’s sister related to Pooja? (a) cousin (b) aunt (c) mother (d) sister
31. 31.Each person always tells the truth or always lies. Myra says: “Ishaan and I are different kinds.” Ishaan says: “Riya and I are the same kind.” Riya says: “Myra and I are the same kind.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 15 × 3 ÷ 4?
33. 33.Five friends (Dev, Ishaan, Neel, Rohan and Zoya) sit in a row. Left and right are as you look at them. Zoya sits somewhere to the left of Neel. Rohan sits somewhere to the left of Ishaan. Ishaan does not sit at either end. Dev sits just to the right of Ishaan. Rohan sits at the left end. Dev does not sit at either end. Ishaan sits next to both Zoya and Dev. Who sits just to the right of Dev? (a) Neel (b) Rohan (c) Ishaan (d) Zoya
34. 34.Rule: If the shop is open, then Ishaan buys milk. Fact: The shop is open. What can you say about “Ishaan does not buy milk”? (a) must be true (b) must be false (c) can't tell
35. 35.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: 54 10 95 22 33 67. After step 4, what is the 5th number from the left?
36. 36.Aisha is a girl. How is Aisha’s father’s sister’s husband related to Aisha? (a) grandfather (b) father (c) uncle (d) brother-in-law
37. 37.Sneha is older than Dev. Dev is older than Ishaan. Who is the youngest? (a) Sneha (b) Ishaan (c) Dev
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 4 + 11 × 20?
39. 39.Is 1700 a leap year? (a) Yes (b) No
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 9 ÷ 4 + 3?

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