Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 166 · 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 6 equal parts, making small cubes. How many small cubes have at least one painted face?
2. 2.Kavya is a girl. How is Kavya’s brother’s daughter related to Kavya? (a) sister (b) daughter (c) niece (d) cousin
3. 3.Find the missing number. The same rule works in every row or in every column.
   7 | 7 | 11
   7 | 8 | 17
   ? | 15 | 28
4. 4.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya goes to the park. What can you say about “Aditya finishes the homework”? (a) must be true (b) must be false (c) can't tell
5. 5.Neel is taller than Diya. Siddharth is taller than Neel. Siddharth is shorter than Meera. Who is the shortest? (a) Diya (b) Meera (c) Neel (d) Siddharth
6. 6.Tara is a girl. How is Tara’s mother’s father related to Tara? (a) grandson (b) uncle (c) father (d) grandfather
7. 7.Marks in a maths test (out of 50): Rohan 21, Neel 49, Ira 33, Arjun 34, Priya 39. How many children have more than 25 marks?
8. 8.Ananya is younger than Siddharth. Kavya is younger than Ananya. Omkar is younger than Kavya. Who is the youngest? (a) Siddharth (b) Ananya (c) Omkar (d) Kavya
9. 9.Statements: All kites are bells. All bells are books. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
10. 10.Each person always tells the truth or always lies. Pooja says: “Zoya tells the truth.” Zoya says: “Pooja and I are the same kind.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
11. 11.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: 34 46 30 57 45 83. After step 2, what is the 5th number from the left?
12. 12.In a group of 26 grown-ups, 9 drink tea, 22 drink coffee and 6 drink both. How many drink exactly one of the two?
13. 13.The sum of three consecutive even numbers is 222. What is the smallest of them?
14. 14.Find the missing number. The same rule works in every row or in every column.
    2 | 1 | ?
    12 | 6 | 1
    9 | 7 | 3
15. 15.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
16. 16.Which number is the odd one out: 73, 44, 47, 67? (a) 73 (b) 44 (c) 47 (d) 67
17. 17.Karan, Myra and Diya each have a different pet: dog, tortoise or parrot. Karan does not have the dog. Diya does not have the tortoise. Myra does not have the dog. Karan does not have the parrot. Who has the dog? (a) Karan (b) Myra (c) Diya
18. 18.I am a 2-digit number. My digits add up to 6 and my tens digit is 6 more than my ones digit. What number am I?
19. 19.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 not red”? (a) must be true (b) must be false (c) can't tell
20. 20.Today is Friday. What day of the week will it be 66 days from today? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
21. 21.Statements: No keys are toys. Some coins are toys. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
22. 22.Three friends (Aditya, Aisha and Farhan) sit in a row. Left and right are as you look at them. Aisha sits somewhere to the left of Farhan. Farhan sits just to the right of Aditya. Who sits at the left end? (a) Aditya (b) Farhan (c) Aisha
23. 23.Pooja walks 7 km West, then turns left and walks 24 km. How far is she from the starting point now, in a straight line (in km)?
24. 24.Siddharth is a boy. How is Siddharth’s sister’s daughter related to Siddharth? (a) daughter (b) aunt (c) sister (d) niece
25. 25.Tara walks 7 m South, turns right and walks 8 m, then turns right again and walks 1 m. How far is she from the starting point now, in a straight line (in m)?
26. 26.Books read in the summer holidays: Riya 29, Rohan 14, Nisha 11, Vivaan 25, Siddharth 3. What is the total for all five children?
27. 27.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha does not score above 90. What can you say about “Nisha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
28. 28.In a group of 53 children, 20 play chess, 26 play carrom and 7 play both. How many play only chess?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 9 ÷ 12 + 4?
30. 30.Find the missing number. The same rule works in every row or in every column.
    9 | ? | 20
    17 | 20 | 37
    6 | 7 | 13
31. 31.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 2. What comes out after step 3?
32. 32.Three friends (Aditya, Neel and Sneha) sit in a row. Left and right are as you look at them. Aditya sits somewhere to the left of Sneha. Sneha sits at the right end. Sneha sits just to the right of Neel. Who sits just to the left of Neel? (a) Aditya (b) Neel (c) Sneha
33. 33.Statements: No coins are balls. All coins are rings. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
34. 34.Books read in the summer holidays: Neel 3, Aarav 15, Aditya 10, Siddharth 22, Riya 6. How many children have more than 13 books?
35. 35.How many degrees does the minute hand of a clock turn in 36 minutes? =
36. 36.Ananya walks 7 km West, then turns left and walks 24 km. How far is she from the starting point now, in a straight line (in km)?
37. 37.Aditya runs slower than Ishaan. Tara runs faster than Ishaan. Who runs the fastest? (a) Tara (b) Aditya (c) Ishaan
38. 38.Five friends (Ira, Meera, Pooja, Saanvi and Tara) sit in a row. Left and right are as you look at them. Saanvi sits next to both Tara and Meera. Tara sits somewhere to the left of Meera. Pooja sits somewhere to the left of Saanvi. Ira sits just to the right of Meera. Who sits just to the left of Tara? (a) Pooja (b) Ira (c) Saanvi (d) Meera
39. 39.Steps climbed in a minute: Manav 27, Dev 32, Pooja 30, Karan 39, Myra 26. What is the total for all five children?
40. 40.Find the missing number. The same rule works in every row or in every column.
    12 | 1 | 10
    21 | 1 | 1
    10 | 11 | ?

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