Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 440 · 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.Marks in a maths test (out of 50): Kabir 18, Yash 39, Riya 19, Pooja 28, Karan 38. Who has the most marks? (a) Karan (b) Kabir (c) Pooja (d) Yash
2. 2.Which capital letter does NOT look the same in a mirror? (a) H (b) X (c) U (d) K
3. 3.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have exactly three painted faces?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 11 ÷ 16 + 12?
5. 5.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 2. What comes out after step 3?
6. 6.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Q (b) F (c) N (d) D
7. 7.Find the missing number. The same rule works in every row or in every column.
   20 | 15 | 13
   15 | 14 | 19
   ? | 29 | 32
8. 8.Kabir walks 12 m West, then turns right and walks 6 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
9. 9.Nisha is a girl. How is Nisha’s father’s sister related to Nisha? (a) aunt (b) sister (c) mother (d) cousin
10. 10.Manav, Sneha and Zoya each play a different game: cricket, carrom or badminton. Manav does not play cricket. Manav does not play badminton. Zoya does not play badminton. Which game does Zoya play? (a) cricket (b) carrom (c) badminton
11. 11.Marks in a maths test (out of 50): Karan 15, Priya 25, Yash 38, Arjun 41, Kabir 43. What is the total for all five children?
12. 12.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
13. 13.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have no painted face?
14. 14.Myra is a girl. How is Myra’s brother’s wife related to Myra? (a) aunt (b) sister (c) sister-in-law (d) cousin
15. 15.Saanvi walks 16 m West, then turns right and walks 12 m. How far is she from the starting point now, in a straight line (in m)?
16. 16.Four friends (Diya, Priya, Rohan and Siddharth) sit in a row. Left and right are as you look at them. Siddharth does not sit at either end. Siddharth sits somewhere to the left of Rohan. Rohan sits at the right end. Priya sits just to the right of Siddharth. Who sits at the left end? (a) Diya (b) Rohan (c) Priya (d) Siddharth
17. 17.Dev, Ishaan and Tara each have a different pet: tortoise, dog or parrot. Tara does not have the tortoise. Tara does not have the dog. Dev does not have the tortoise. Which pet does Dev have? (a) tortoise (b) dog (c) parrot
18. 18.Statements: All coins are shoes. Some balls are coins. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
19. 19.Arjun, Tara and Priya each have a different pet: tortoise, rabbit or parrot. Tara does not have the parrot. Tara does not have the rabbit. Priya does not have the parrot. Who has the rabbit? (a) Arjun (b) Tara (c) Priya
20. 20.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) W (b) F (c) O (d) Y
21. 21.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: 71 43 98 72 31 91. After step 2, what is the 2nd number from the left?
22. 22.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: 86 73 43 65 11 50. After step 2, what is the 1st number from the left?
23. 23.In a group of 54 grown-ups, 22 drink tea, 22 drink coffee and 2 drink both. How many drink neither of the two?
24. 24.Dev is a boy. How is Dev’s mother’s only daughter related to Dev? (a) aunt (b) sister (c) mother (d) niece
25. 25.I am a 2-digit number. My digits add up to 14. If you swap my two digits, the new number is 18 more than me. What number am I?
26. 26.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
27. 27.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
28. 28.Two standard dice show 2 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
29. 29.Trees planted in a week: Priya 15, Aisha 17, Nisha 11, Meera 7, Siddharth 31. How many children have more than 10 trees?
30. 30.Find the missing number. The same rule works in every row or in every column.
    14 | 12 | ?
    17 | 19 | 36
    18 | 9 | 27
31. 31.In a group of 44 children, 27 play chess, 24 play carrom and 9 play both. How many play only chess?
32. 32.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly three painted faces?
33. 33.Today is Sunday. What day of the week will it be 25 days from today? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
34. 34.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 3. What comes out after step 3?
35. 35.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 4. What comes out after step 3?
36. 36.Five friends (Aisha, Arjun, Ishaan, Riya and Tara) sit in a row. Left and right are as you look at them. Ishaan sits just to the right of Arjun. Aisha does not sit at either end. Tara sits somewhere to the left of Ishaan. Arjun sits next to both Aisha and Ishaan. Riya sits somewhere to the left of Arjun. Aisha sits just to the right of Riya. Who sits at the right end? (a) Tara (b) Arjun (c) Riya (d) Ishaan
37. 37.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 16 − 4 + 11?
39. 39.If RAIN is written as NIAR, how is JUMP written in the same code? (a) QNVK (b) KVNQ (c) OLTI (d) PMUJ
40. 40.A clock shows 4:44. What time does it show in a mirror? (a) 8:16 (b) 6:16 (c) 7:16 (d) 8:44

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