Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 9 · 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.The sum of three consecutive numbers is 126. What is the largest of them?
2. 2.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: 31 41 51 13 37 66. After step 2, what is the 6th number from the left?
3. 3.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 3. What comes out after step 3?
4. 4.Arjun, Ishaan and Meera each have a different pet: rabbit, cat or tortoise. Ishaan does not have the rabbit. Arjun does not have the rabbit. Arjun does not have the cat. Who has the tortoise? (a) Arjun (b) Ishaan (c) Meera
5. 5.Runs scored in a cricket match: Kavya 17, Karan 20, Riya 5, Farhan 28, Isha 60. Who has the most runs? (a) Kavya (b) Karan (c) Riya (d) Isha
6. 6.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly one painted face?
7. 7.Find the missing number. The same rule works in every row or in every column.
   3 | 3 | 9
   4 | 9 | 36
   2 | 8 | ?
8. 8.Find the missing number. The same rule works in every row or in every column.
   6 | 2 | 8
   9 | 4 | 3
   9 | ? | 3
9. 9.Isha, Nisha and Yash each play a different game: chess, carrom or football. Isha does not play carrom. Nisha does not play carrom. Isha does not play chess. Which game does Nisha play? (a) chess (b) carrom (c) football
10. 10.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 7. What comes out after step 3?
11. 11.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 24 | 14
    12 | 20 | 28
    26 | 16 | 18
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 13 ÷ 8 × 16?
13. 13.Statements: All cups are toys. All cups are keys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
14. 14.Three friends (Aarav, Arjun and Tara) sit in a row. Left and right are as you look at them. Aarav sits just to the right of Tara. Tara sits just to the right of Arjun. Who sits in the middle? (a) Tara (b) Arjun (c) Aarav
15. 15.Five friends (Ananya, Isha, Kabir, Manav and Riya) sit in a row. Left and right are as you look at them. Isha sits just to the right of Riya. Isha sits next to both Riya and Kabir. Manav sits next to both Ananya and Riya. Who sits just to the right of Ananya? (a) Isha (b) Ananya (c) Riya (d) Manav
16. 16.Isha walks 30 m North, then turns around and walks 24 m. How far is she from the starting point now (in m)?
17. 17.Today is Sunday. What day of the week will it be 47 days from today? (a) Sunday (b) Friday (c) Saturday (d) Thursday
18. 18.Kites flown at Makar Sankranti: Rahul 6, Kabir 14, Arjun 17, Ira 23, Riya 10. How many more kites does Arjun have than Kabir?
19. 19.Neel runs faster than Kavya. Priya runs slower than Kavya. Who runs the fastest? (a) Neel (b) Priya (c) Kavya
20. 20.Find the missing number. The same rule works in every row or in every column.
    1 | 12 | 1
    ? | 1 | 3
    2 | 8 | 4
21. 21.Rahul walks 5 km South, then turns right and walks 12 km. How far is he from the starting point now, in a straight line (in km)?
22. 22.1 January 2028 is a Saturday. What day of the week is 24 December 2028? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
23. 23.Siddharth walks 30 m East, then turns around and walks 20 m. How far is he from the starting point now (in m)?
24. 24.In a group of 37 children, 18 play chess, 24 play carrom and 11 play both. How many play at least one of the two?
25. 25.Three friends (Manav, Meera and Nisha) sit in a row. Left and right are as you look at them. Manav sits somewhere to the left of Meera. Meera sits just to the right of Nisha. Who sits at the left end? (a) Manav (b) Meera (c) Nisha
26. 26.A clock shows 4:19. What time does it show in a mirror? (a) 6:41 (b) 8:19 (c) 8:41 (d) 7:41
27. 27.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 7. What comes out after step 2?
28. 28.Meera is a girl. How is Meera’s mother’s brother’s son related to Meera? (a) cousin (b) nephew (c) brother (d) uncle
29. 29.Priya is shorter than Rahul. Rahul is shorter than Aisha. Who is the tallest? (a) Aisha (b) Priya (c) Rahul
30. 30.Three friends (Farhan, Kavya and Pooja) sit in a row. Left and right are as you look at them. Farhan sits just to the right of Kavya. Pooja sits somewhere to the left of Farhan. Who sits at the left end? (a) Farhan (b) Pooja (c) Kavya
31. 31.Myra walks 12 km West, then turns left and walks 16 km. How far is she from the starting point now, in a straight line (in km)?
32. 32.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
33. 33.Karan, Aarav and Meera each have a different pet: dog, rabbit or cat. Karan does not have the dog. Meera does not have the rabbit. Aarav does not have the dog. Aarav does not have the rabbit. Which pet does Aarav have? (a) dog (b) rabbit (c) cat
34. 34.Each person always tells the truth or always lies. Ananya says: “At least one of us two, Omkar or I, is a liar.” Farhan says: “Ananya is a liar.” Omkar says: “Ananya is a liar.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
35. 35.Each person always tells the truth or always lies. Rohan says: “Isha is a liar.” Isha says: “At least one of us two, Rohan or I, is a liar.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
36. 36.Five friends (Kavya, Neel, Rahul, Rohan and Tara) sit in a row. Left and right are as you look at them. Neel sits next to both Kavya and Tara. Tara sits just to the right of Neel. Rohan sits somewhere to the left of Tara. Rahul sits just to the right of Rohan. Who sits in the middle? (a) Rohan (b) Neel (c) Rahul (d) Kavya
37. 37.Ananya walks 16 m East, then turns right and walks 12 m. How far is she from the starting point now, in a straight line (in m)?
38. 38.Each person always tells the truth or always lies. Kabir says: “Ira is a liar.” Ira says: “At least one of us two, Kabir or I, is a liar.” Neel says: “Kabir tells the truth.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
39. 39.Manav walks 19 m West, then turns around and walks 5 m. How far is he from the starting point now (in m)?
40. 40.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    7 | 8 | 3
    2 | 6 | 10
    ? | 4 | 5

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