Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 963 · 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 3 equal parts, making small cubes. How many small cubes have exactly three painted faces?
2. 2.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan does not score above 90. What can you say about “Ishaan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
3. 3.Find the missing number. The same rule works in every row or in every column.
   6 | ? | 3
   2 | 4 | 6
   9 | 2 | 1
4. 4.Yash walks 10 m East, then turns around and walks 3 m. How far is he from the starting point now (in m)?
5. 5.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: 97 73 29 12 90 67. After step 4, what is the 1st number from the left?
6. 6.Manav is lighter than Ishaan. Isha is heavier than Ishaan. Who is the second heaviest? (a) Manav (b) Isha (c) Ishaan
7. 7.Find the missing number. The same rule works in every row or in every column.
   3 | 6 | 18
   2 | 6 | 12
   9 | 4 | ?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 16 ÷ 3 × 4?
9. 9.Rohan walks 7 m South, then turns left and walks 14 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
10. 10.Each person always tells the truth or always lies. Meera says: “At least one of us two, Riya or I, is a liar.” Riya says: “Meera and I both tell the truth.” Manav says: “At least one of us two, Riya or I, is a liar.” Is Manav a truth-teller or a liar? (a) truth-teller (b) liar
11. 11.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
12. 12.Runs scored in a cricket match: Ananya 10, Aarav 18, Yash 33, Rahul 32, Saanvi 46. How many children have more than 11 runs?
13. 13.Today is Sunday. What day of the week will it be 92 days from today? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
14. 14.Arjun, Ishaan and Neel each have a bag of a different colour: yellow, red or blue. Ishaan’s bag is not red. Ishaan’s bag is not yellow. Arjun’s bag is not yellow. What colour is Arjun’s bag? (a) yellow (b) red (c) blue
15. 15.Statements: Some toys are balls. Some balls are cups. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
16. 16.Rahul, Siddharth and Kavya each play a different game: chess, football or badminton. Kavya does not play football. Siddharth does not play chess. Kavya does not play chess. Who plays chess? (a) Rahul (b) Siddharth (c) Kavya
17. 17.A clock shows 5:21. What time will it show 64 minutes later? (a) 7:25 (b) 6:35 (c) 6:15 (d) 6:25
18. 18.Statements: Some pens are bags. No balls are pens. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
19. 19.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
20. 20.Each person always tells the truth or always lies. Riya says: “Omkar and I are the same kind.” Omkar says: “Arjun and I both tell the truth.” Arjun says: “Riya and I are different kinds.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
21. 21.Is 2042 a leap year? (a) Yes (b) No
22. 22.Which number is the odd one out: 19, 52, 24, 96? (a) 19 (b) 52 (c) 24 (d) 96
23. 23.Four friends (Aditya, Isha, Pooja and Yash) sit in a row. Left and right are as you look at them. Yash sits somewhere to the left of Isha. Aditya sits just to the right of Isha. Yash sits at the left end. Isha sits next to both Pooja and Aditya. Who sits just to the left of Pooja? (a) Yash (b) Pooja (c) Isha (d) Aditya
24. 24.Find the missing number. The same rule works in every row or in every column.
    7 | 4 | 28
    3 | 3 | 9
    5 | 7 | ?
25. 25.Which capital letter looks exactly the same in a mirror? (a) D (b) P (c) H (d) F
26. 26.In a group of 22 children, 11 play cricket, 11 play football and 7 play both. How many play only cricket?
27. 27.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 2. What comes out after step 3?
28. 28.Vivaan is taller than Riya. Riya is taller than Neel. Who is the tallest? (a) Vivaan (b) Riya (c) Neel
29. 29.Books read in the summer holidays: Sneha 22, Riya 4, Vivaan 28, Priya 6, Diya 10. What is the difference between the highest and the lowest?
30. 30.4 October is a Friday. What day of the week is 4 November of the same year? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
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: 66 91 23 60 77 30. After step 2, what is the 6th number from the left?
32. 32.Which number is the odd one out: 61, 30, 11, 71? (a) 61 (b) 30 (c) 11 (d) 71
33. 33.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?
34. 34.Siddharth is older than Zoya. Saanvi is older than Siddharth. Saanvi is younger than Dev. Who is the second youngest? (a) Dev (b) Siddharth (c) Saanvi (d) Zoya
35. 35.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have at least one painted face?
36. 36.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have at least one painted face?
37. 37.Tara is heavier than Manav. Aditya is lighter than Manav. Aditya is heavier than Saanvi. Who is the heaviest? (a) Aditya (b) Saanvi (c) Tara (d) Manav
38. 38.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: 83 56 80 50 42 35. After step 2, what is the 3rd number from the left?
39. 39.Five friends (Aarav, Aisha, Dev, Kavya and Tara) sit in a row. Left and right are as you look at them. Aisha sits next to both Dev and Tara. Dev sits somewhere to the left of Kavya. Dev sits somewhere to the left of Tara. Aarav sits next to both Tara and Kavya. Who sits in the middle? (a) Tara (b) Aarav (c) Dev (d) Kavya
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 15 + 2 ÷ 20?

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