Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 395 · 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: 9, 27, 38, 81? (a) 9 (b) 27 (c) 38 (d) 81
2. 2.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
3. 3.Arjun, Rohan and Ananya each have a different pet: cat, tortoise or parrot. Ananya does not have the tortoise. Arjun does not have the cat. Rohan does not have the parrot. Ananya does not have the cat. Which pet does Arjun have? (a) cat (b) tortoise (c) parrot
4. 4.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?
5. 5.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
6. 6.In a group of 25 children, 17 play chess, 11 play carrom and 5 play both. How many play neither of the two?
7. 7.Which number is the odd one out: 24, 92, 59, 48? (a) 24 (b) 92 (c) 59 (d) 48
8. 8.How many degrees does the minute hand of a clock turn in 7 minutes? =
9. 9.Each person always tells the truth or always lies. Aisha says: “Pooja and I both tell the truth.” Dev says: “Aisha is a liar.” Pooja says: “Dev and I are different kinds.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.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: 94 76 29 59 95 30. After step 2, what is the 5th number from the left?
11. 11.In a group of 27 children, 9 play cricket, 9 play football and 5 play both. How many play only football?
12. 12.A clock shows 8:41. What time will it show 27 minutes later? (a) 9:18 (b) 10:08 (c) 8:58 (d) 9:08
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 19 ÷ 8 × 3?
14. 14.In a group of 31 children, 12 play chess, 18 play carrom and 4 play both. How many play neither of the two?
15. 15.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: 41 75 59 21 11 28. After step 4, what is the 5th number from the left?
16. 16.Five friends (Dev, Ira, Karan, Rohan and Yash) sit in a row. Left and right are as you look at them. Ira sits somewhere to the left of Rohan. Karan sits just to the right of Yash. Yash sits somewhere to the left of Rohan. Yash sits just to the right of Ira. Dev sits somewhere to the left of Rohan. Ira sits next to both Dev and Yash. Who sits at the right end? (a) Ira (b) Rohan (c) Dev (d) Yash
17. 17.Kavya is a girl. How is Kavya’s brother’s son related to Kavya? (a) cousin (b) nephew (c) son (d) brother
18. 18.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) V (b) D (c) A (d) J
19. 19.Find the missing number. The same rule works in every row or in every column.
    5 | 4 | 4
    7 | 1 | 5
    9 | 1 | ?
20. 20.I am a 2-digit number. My digits add up to 6. If you swap my two digits, the new number is 18 more than me. What number am I?
21. 21.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
22. 22.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 4. What comes out after step 2?
23. 23.Yash is lighter than Meera. Aditya is heavier than Arjun. Meera is lighter than Arjun. Who is the second lightest? (a) Arjun (b) Aditya (c) Meera (d) Yash
24. 24.Four friends (Dev, Myra, Sneha and Vivaan) sit in a row. Left and right are as you look at them. Sneha sits next to both Vivaan and Myra. Dev sits somewhere to the left of Sneha. Vivaan sits somewhere to the left of Myra. Who sits just to the right of Sneha? (a) Dev (b) Sneha (c) Myra (d) Vivaan
25. 25.In a group of 38 children, 13 play chess, 16 play carrom and 5 play both. How many play only chess?
26. 26.Today is Tuesday. What day of the week will it be 89 days from today? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
27. 27.Find the missing number. The same rule works in every row or in every column.
    ? | 7 | 10
    1 | 6 | 15
    19 | 2 | 1
28. 28.Find the missing number. The same rule works in every row or in every column.
    11 | ? | 16
    6 | 10 | 16
    12 | 16 | 28
29. 29.Which number is the odd one out: 5, 11, 17, 20? (a) 5 (b) 11 (c) 17 (d) 20
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: 78 98 91 63 69 34. After step 2, what is the 1st number from the left?
31. 31.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
32. 32.Three friends (Aisha, Kabir and Rohan) sit in a row. Left and right are as you look at them. Aisha sits somewhere to the left of Rohan. Rohan sits just to the right of Kabir. Who sits in the middle? (a) Rohan (b) Aisha (c) Kabir
33. 33.Omkar walks 27 m South, then turns around and walks 15 m. How far is he from the starting point now (in m)?
34. 34.Four friends (Neel, Nisha, Omkar and Rohan) sit in a row. Left and right are as you look at them. Rohan sits next to both Omkar and Nisha. Neel sits just to the right of Nisha. Who sits at the right end? (a) Rohan (b) Omkar (c) Nisha (d) Neel
35. 35.Statements: No boxes are books. Some books are pens. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 8 − 8 ÷ 12?
37. 37.I am a 2-digit number. My digits add up to 7 and my tens digit is 1 more than my ones digit. What number am I?
38. 38.Statements: All caps are shoes. Some keys are shoes. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
39. 39.Find the missing number. The same rule works in every row or in every column.
    ? | 9 | 15
    15 | 5 | 13
    34 | 14 | 28
40. 40.How many degrees does the minute hand of a clock turn in 32 minutes? =

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