Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 927 · 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 cut into 27 equal small cubes. How many small cubes have no painted face?
2. 2.Farhan runs faster than Vivaan. Zoya runs slower than Vivaan. Who runs the fastest? (a) Vivaan (b) Farhan (c) Zoya
3. 3.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: 32 39 44 26 40 47. After step 2, what is the 2nd number from the left?
4. 4.Four friends (Ishaan, Kavya, Saanvi and Siddharth) sit in a row. Left and right are as you look at them. Kavya does not sit at either end. Saanvi sits somewhere to the left of Siddharth. Saanvi sits somewhere to the left of Ishaan. Kavya sits just to the right of Saanvi. Kavya sits next to both Saanvi and Siddharth. Who sits at the right end? (a) Ishaan (b) Siddharth (c) Saanvi (d) Kavya
5. 5.In a group of 32 children, 14 like mangoes, 14 like bananas and 3 like both. How many like only bananas?
6. 6.In a group of 50 children, 18 play cricket, 31 play football and 11 play both. How many play at least one of the two?
7. 7.I am a 2-digit number. My digits add up to 17. If you swap my two digits, the new number is 9 more than me. What number am I?
8. 8.Each person always tells the truth or always lies. Sneha says: “Farhan and I both tell the truth.” Farhan says: “Sneha and I both tell the truth.” Ira says: “At least one of us two, Sneha or I, is a liar.” Is Sneha a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.Yash is a boy. How is Yash’s sister’s daughter related to Yash? (a) aunt (b) daughter (c) sister (d) niece
10. 10.Trees planted in a week: Yash 8, Ananya 34, Neel 32, Saanvi 35, Ira 6. How many children have more than 32 trees?
11. 11.In a group of 42 children, 15 play cricket, 22 play football and 10 play both. How many play at least one of the two?
12. 12.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: 12 11 34 73 55 94. After step 4, what is the 6th number from the left?
13. 13.Each person always tells the truth or always lies. Pooja says: “At least one of us two, Rahul or I, is a liar.” Rahul says: “Pooja is a liar.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.I am a 2-digit number. My digits add up to 8. If you swap my two digits, the new number is 18 more than me. What number am I?
15. 15.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 6. What comes out after step 3?
16. 16.Three friends (Isha, Kavya and Priya) sit in a row. Left and right are as you look at them. Priya sits somewhere to the left of Isha. Isha sits at the right end. Priya sits at the left end. Who sits in the middle? (a) Kavya (b) Priya (c) Isha
17. 17.Rohan is a boy. How is Rohan’s father’s only son’s sister related to Rohan? (a) sister (b) aunt (c) cousin (d) mother
18. 18.Find the missing number. The same rule works in every row or in every column.
    9 | 3 | 27
    3 | 4 | 12
    6 | ? | 24
19. 19.Statements: All bags are balls. No cups are bags. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
20. 20.In a group of 49 children, 21 play cricket, 19 play football and 3 play both. How many play only football?
21. 21.Which capital letter does NOT look the same in a mirror? (a) I (b) V (c) M (d) C
22. 22.Statements: Some caps are kites. No kites are boxes. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
23. 23.A clock shows 12:47. What time will it show 41 minutes later? (a) 1:18 (b) 1:28 (c) 1:38 (d) 2:28
24. 24.Each person always tells the truth or always lies. Nisha says: “Tara and I both tell the truth.” Farhan says: “At least one of us two, Nisha or I, is a liar.” Tara says: “Nisha is a liar.” Is Farhan a truth-teller or a liar? (a) truth-teller (b) liar
25. 25.How many degrees does the minute hand of a clock turn in 16 minutes? =
26. 26.Statements: No kites are bags. Some bags are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
27. 27.Aisha is a girl. How is Aisha’s father’s father’s only son’s son related to Aisha? (a) uncle (b) brother (c) cousin (d) father
28. 28.Pooja is taller than Priya. Pooja is shorter than Farhan. Who is the second shortest? (a) Farhan (b) Pooja (c) Priya
29. 29.Find the missing number. The same rule works in every row or in every column.
    7 | 19 | 2
    3 | 22 | 3
    2 | 15 | ?
30. 30.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
31. 31.Which number is the odd one out: 59, 19, 4, 29? (a) 59 (b) 19 (c) 4 (d) 29
32. 32.If FROG is written as HTQI, how is RAIN written in the same code? (a) PYGL (b) SBJO (c) UDLQ (d) TCKP
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 3 − 4 × 4?
34. 34.Find the missing number. The same rule works in every row or in every column.
    14 | 10 | ?
    16 | 15 | 2
    30 | 25 | 11
35. 35.In a group of 21 children, 9 like mangoes, 12 like bananas and 4 like both. How many like neither of the two?
36. 36.Siddharth, Ishaan and Riya each play a different game: chess, football or carrom. Ishaan does not play football. Riya does not play football. Riya does not play carrom. Which game does Siddharth play? (a) chess (b) football (c) carrom
37. 37.Siddharth walks 11 m West, turns right and walks 12 m, then turns right again and walks 2 m. How far is he from the starting point now, in a straight line (in m)?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 17 − 17 × 20?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 10 × 10 ÷ 15?
40. 40.Aarav is facing East. He turns left, then turns left, then turns right, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West

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