Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 635 · 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.Two standard dice show 6 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 2 × 9 ÷ 8?
3. 3.Which number is the odd one out: 98, 14, 5, 70? (a) 98 (b) 14 (c) 5 (d) 70
4. 4.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
5. 5.In a group of 56 children, 23 sing Hindi songs, 27 sing English songs and 9 sing both. How many sing neither of the two?
6. 6.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 5. What comes out after step 2?
7. 7.Yash is a boy. How is Yash’s daughter’s husband related to Yash? (a) son-in-law (b) son (c) brother-in-law (d) nephew
8. 8.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 4. What comes out after step 2?
9. 9.In a group of 44 children, 19 play chess, 21 play carrom and 8 play both. How many play exactly one of the two?
10. 10.Rohan is shorter than Sneha. Sneha is shorter than Tara. Who is the tallest? (a) Tara (b) Sneha (c) Rohan
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 3 − 17 + 15?
12. 12.Find the missing number. The same rule works in every row or in every column.
    ? | 19 | 5
    1 | 8 | 16
    18 | 6 | 1
13. 13.Zoya, Ira and Kabir each have a different pet: parrot, tortoise or cat. Ira does not have the cat. Zoya does not have the parrot. Kabir does not have the parrot. Kabir does not have the cat. Who has the parrot? (a) Zoya (b) Ira (c) Kabir
14. 14.Books read in the summer holidays: Ananya 18, Arjun 26, Karan 25, Rahul 4, Vivaan 9. How many more books does Arjun have than Rahul?
15. 15.1 January 2027 is a Friday. What day of the week is 30 December 2027? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
16. 16.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
17. 17.1 January 2036 is a Tuesday. What day of the week is 16 April 2036? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
18. 18.The sum of three consecutive numbers is 27. What is the largest of them?
19. 19.Find the missing number. The same rule works in every row or in every column.
    5 | ? | 14
    3 | 3 | 6
    8 | 7 | 15
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 4 ÷ 13 + 17?
21. 21.Trees planted in a week: Kavya 5, Isha 32, Rohan 16, Sneha 34, Arjun 29. How many more trees does Arjun have than Rohan?
22. 22.In a group of 44 children, 21 sing Hindi songs, 22 sing English songs and 5 sing both. How many sing exactly one of the two?
23. 23.Which number is the odd one out: 81, 9, 10, 45? (a) 81 (b) 9 (c) 10 (d) 45
24. 24.I am a 2-digit number. My digits add up to 9 and my tens digit is 9 more than my ones digit. What number am I?
25. 25.Ananya walks 9 km South, then turns right and walks 12 km. How far is she from the starting point now, in a straight line (in km)?
26. 26.Siddharth walks 13 m North, then turns around and walks 3 m. How far is he from the starting point now (in m)?
27. 27.Which capital letter looks exactly the same in a mirror? (a) R (b) M (c) K (d) G
28. 28.Find the missing number. The same rule works in every row or in every column.
    11 | ? | 20
    3 | 13 | 12
    14 | 28 | 32
29. 29.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
30. 30.Steps climbed in a minute: Farhan 68, Aditya 62, Sneha 63, Yash 48, Kabir 69. How many children have more than 68 steps?
31. 31.Manav walks 21 m East, turns right and walks 9 m, then turns right again and walks 9 m. How far is he from the starting point now, in a straight line (in m)?
32. 32.Statements: Some books are kites. All kites are balls. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
33. 33.Five friends (Aarav, Aditya, Kabir, Nisha and Sneha) sit in a row. Left and right are as you look at them. Nisha does not sit at either end. Sneha does not sit at either end. Kabir sits somewhere to the left of Aarav. Sneha sits somewhere to the left of Aarav. Aditya does not sit at either end. Aarav sits just to the right of Nisha. Nisha sits next to both Aditya and Aarav. Who sits in the middle? (a) Aarav (b) Aditya (c) Sneha (d) Nisha
34. 34.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
35. 35.Yash runs slower than Riya. Siddharth runs faster than Riya. Who runs the slowest? (a) Riya (b) Siddharth (c) Yash
36. 36.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) K (b) R (c) T (d) V
37. 37.Find the missing number. The same rule works in every row or in every column.
    3 | 9 | 12
    4 | ? | 8
    17 | 5 | 22
38. 38.In a group of 30 children, 15 play chess, 8 play carrom and 3 play both. How many play only chess?
39. 39.Which capital letter does NOT look the same in a mirror? (a) A (b) T (c) R (d) I
40. 40.Sneha walks 24 m West, then turns right and walks 7 m. How far is she from the starting point now, in a straight line (in m)?

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