Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 382 · 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: 8, 29, 32, 88? (a) 8 (b) 29 (c) 32 (d) 88
2. 2.Statements: All balls are toys. Some balls are bags. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.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: 38 84 64 19 98 14. After step 2, what is the 4th number from the left?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 14 ÷ 14 − 8?
5. 5.Books read in the summer holidays: Arjun 7, Aisha 23, Sneha 25, Dev 18, Yash 8. How many more books does Dev have than Yash?
6. 6.Find the missing number. The same rule works in every row or in every column.
   10 | 20 | 30
   ? | 1 | 7
   4 | 10 | 14
7. 7.Statements: Some coins are kites. Some kites are boxes. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.Find the missing number. The same rule works in every row or in every column.
   9 | 14 | 23
   7 | 15 | 22
   5 | ? | 22
9. 9.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
10. 10.Find the missing number. The same rule works in every row or in every column.
    16 | 8 | ?
    5 | 20 | 25
    3 | 17 | 20
11. 11.1 January 2019 is a Tuesday. What day of the week is 5 May 2019? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
12. 12.Priya, Ananya and Rahul each have a different pet: tortoise, cat or dog. Ananya does not have the dog. Priya does not have the dog. Ananya does not have the cat. Who has the tortoise? (a) Priya (b) Ananya (c) Rahul
13. 13.Each person always tells the truth or always lies. Rohan says: “At least one of us two, Zoya or I, is a liar.” Zoya says: “Rohan and I are the same kind.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Marks in a maths test (out of 50): Yash 44, Tara 36, Manav 49, Farhan 17, Meera 32. How many more marks does Yash have than Farhan?
15. 15.18 August is a Wednesday. What day of the week is 18 September of the same year? (a) Saturday (b) Friday (c) Monday (d) Sunday
16. 16.Farhan, Aarav and Manav each have a different pet: rabbit, dog or cat. Aarav does not have the cat. Aarav does not have the dog. Manav does not have the dog. Who has the dog? (a) Farhan (b) Aarav (c) Manav
17. 17.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: 23 51 12 42 10 67. After step 4, what is the 3rd number from the left?
18. 18.A clock shows 2:47. What time does it show in a mirror? (a) 8:13 (b) 10:47 (c) 10:13 (d) 9:13
19. 19.Statements: All kites are pens. No boxes are kites. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
20. 20.Statements: All kites are bags. No books are bags. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
21. 21.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) S (b) H (c) P (d) V
22. 22.Each person always tells the truth or always lies. Vivaan says: “Riya and I both tell the truth.” Siddharth says: “Riya tells the truth.” Riya says: “Siddharth and I are different kinds.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
23. 23.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: 53 12 42 91 21 23. After step 2, what is the 6th number from the left?
24. 24.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan does not score above 90. What can you say about “Karan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
25. 25.How many degrees does the hour hand of a clock turn in 150 minutes? =
26. 26.Each person always tells the truth or always lies. Ira says: “Aisha and I both tell the truth.” Aisha says: “Tara tells the truth.” Tara says: “Ira is a liar.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.Four friends (Aarav, Arjun, Kavya and Yash) sit in a row. Left and right are as you look at them. Arjun sits just to the right of Aarav. Arjun sits next to both Aarav and Kavya. Yash sits somewhere to the left of Arjun. Who sits just to the right of Yash? (a) Aarav (b) Arjun (c) Yash (d) Kavya
28. 28.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
29. 29.Farhan, Isha and Diya each have a different pet: rabbit, dog or tortoise. Diya does not have the rabbit. Farhan does not have the tortoise. Farhan does not have the rabbit. Who has the dog? (a) Farhan (b) Isha (c) Diya
30. 30.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: 28 47 56 98 78 16. After step 2, what is the 6th number from the left?
31. 31.In a group of 36 children, 12 play cricket, 21 play football and 7 play both. How many play only cricket?
32. 32.Statements: Some coins are kites. Some coins are balls. Conclusion: Some kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
33. 33.Statements: Some bells are toys. All caps are toys. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
34. 34.Dev, Aditya and Karan each have a bag of a different colour: white, blue or red. Dev’s bag is not red. Aditya’s bag is not white. Dev’s bag is not blue. Aditya’s bag is not blue. Whose bag is blue? (a) Dev (b) Aditya (c) Karan
35. 35.Three friends (Aisha, Arjun and Ishaan) sit in a row. Left and right are as you look at them. Arjun sits just to the right of Aisha. Aisha does not sit at either end. Who sits just to the right of Ishaan? (a) Ishaan (b) Aisha (c) Arjun
36. 36.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
37. 37.In a group of 35 children, 9 play cricket, 18 play football and 6 play both. How many play only cricket?
38. 38.Diya walks 20 m West, turns right and walks 16 m, then turns right again and walks 8 m. How far is she from the starting point now, in a straight line (in m)?
39. 39.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) X (b) J (c) Y (d) L
40. 40.A clock shows 6:03. What time will it show 78 minutes later? (a) 8:21 (b) 7:21 (c) 7:11 (d) 7:31

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