Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 529 · 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.Statements: No keys are bags. All bags are caps. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
2. 2.In a group of 47 children, 19 enjoy drawing, 23 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
3. 3.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
4. 4.Find the missing number. The same rule works in every row or in every column.
   20 | 1 | 4
   ? | 5 | 13
   5 | 5 | 15
5. 5.Statements: All balls are rings. No balls are bags. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 6 − 5 ÷ 14?
7. 7.Five friends (Ananya, Diya, Manav, Neel and Sneha) sit in a row. Left and right are as you look at them. Neel sits just to the right of Diya. Sneha does not sit at either end. Diya sits next to both Sneha and Neel. Ananya sits somewhere to the left of Diya. Ananya does not sit at either end. Who sits at the left end? (a) Ananya (b) Sneha (c) Manav (d) Diya
8. 8.Two standard dice show 3 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
9. 9.Each person always tells the truth or always lies. Saanvi says: “At least one of us two, Omkar or I, is a liar.” Omkar says: “Saanvi is a liar.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 8 ÷ 6 × 19?
11. 11.Find the missing number. The same rule works in every row or in every column.
    19 | 5 | 18
    4 | 4 | 16
    23 | ? | 34
12. 12.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: 93 39 31 94 70 38. After step 2, what is the 6th number from the left?
13. 13.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?
14. 14.Aditya, Pooja and Sneha each have a different pet: cat, rabbit or parrot. Pooja does not have the parrot. Pooja does not have the rabbit. Aditya does not have the parrot. Who has the parrot? (a) Aditya (b) Pooja (c) Sneha
15. 15.Rohan walks 25 m South, turns right and walks 7 m, then turns right again and walks 1 m. How far is he from the starting point now, in a straight line (in m)?
16. 16.Saanvi is a girl. How is Saanvi’s father’s sister’s husband related to Saanvi? (a) father (b) grandfather (c) brother-in-law (d) uncle
17. 17.Kites flown at Makar Sankranti: Myra 21, Nisha 16, Priya 6, Aarav 13, Aditya 20. What is the total for all five children?
18. 18.Diya walks 12 km West, then turns right and walks 5 km. How far is she from the starting point now, in a straight line (in km)?
19. 19.A clock shows 7:04. What time will it show 141 minutes later? (a) 9:15 (b) 10:25 (c) 9:25 (d) 9:35
20. 20.Saanvi is taller than Arjun. Saanvi is shorter than Diya. Riya is taller than Diya. Who is the second tallest? (a) Saanvi (b) Diya (c) Riya (d) Arjun
21. 21.Siddharth is shorter than Rohan. Rohan is shorter than Omkar. Ananya is taller than Omkar. Who is the tallest? (a) Siddharth (b) Ananya (c) Omkar (d) Rohan
22. 22.Books read in the summer holidays: Farhan 11, Priya 5, Rahul 13, Saanvi 15, Aisha 6. How many children have more than 14 books?
23. 23.Which number is the odd one out: 81, 9, 92, 27? (a) 81 (b) 9 (c) 92 (d) 27
24. 24.Find the missing number. The same rule works in every row or in every column.
    3 | 5 | ?
    5 | 5 | 25
    3 | 2 | 6
25. 25.Each person always tells the truth or always lies. Vivaan says: “At least one of us two, Rohan or I, is a liar.” Rohan says: “Vivaan and I both tell the truth.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 2 − 6 + 12?
27. 27.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly three painted faces?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 17 + 6 × 6?
29. 29.Which number is the odd one out: 37, 97, 53, 69? (a) 37 (b) 97 (c) 53 (d) 69
30. 30.6 August is a Sunday. What day of the week is 6 September of the same year? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
31. 31.Farhan is a boy. How is Farhan’s sister’s daughter related to Farhan? (a) sister (b) daughter (c) aunt (d) niece
32. 32.Ishaan walks 10 m South, then turns right and walks 7 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
33. 33.Which number is the odd one out: 31, 23, 21, 11? (a) 31 (b) 23 (c) 21 (d) 11
34. 34.Which capital letter looks exactly the same in a mirror? (a) F (b) B (c) N (d) I
35. 35.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) W (b) R (c) Z (d) K
36. 36.Statements: All rings are toys. No caps are toys. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
37. 37.Each person always tells the truth or always lies. Neel says: “Rohan and I are different kinds.” Rohan says: “Neel and I are different kinds.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
38. 38.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 2. What comes out after step 3?
39. 39.Neel walks 13 m North, turns right and walks 16 m, then turns right again and walks 1 m. How far is he from the starting point now, in a straight line (in m)?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 14 × 14 − 20?

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