Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 599 · 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.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 7 ÷ 9 × 8?
2. 2.Find the missing number. The same rule works in every row or in every column.
   9 | 1 | 4
   ? | 2 | 1
   5 | 3 | 6
3. 3.Manav walks 6 km North, then turns left and walks 8 km. How far is he from the starting point now, in a straight line (in km)?
4. 4.In a group of 47 children, 26 sing Hindi songs, 26 sing English songs and 10 sing both. How many sing only Hindi songs?
5. 5.A clock shows 9:07. What time does it show in a mirror? (a) 3:07 (b) 1:53 (c) 2:53 (d) 3:53
6. 6.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly three painted faces?
7. 7.Four friends (Aisha, Ira, Rohan and Yash) sit in a row. Left and right are as you look at them. Aisha sits just to the right of Ira. Aisha does not sit at either end. Ira sits at the left end. Yash sits next to both Aisha and Rohan. Who sits just to the right of Yash? (a) Ira (b) Rohan (c) Yash (d) Aisha
8. 8.Which number is the odd one out: 51, 97, 79, 37? (a) 51 (b) 97 (c) 79 (d) 37
9. 9.Each person always tells the truth or always lies. Kavya says: “Kabir and I are different kinds.” Priya says: “At least one of us two, Kavya or I, is a liar.” Kabir says: “Kavya and I both tell the truth.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.Ishaan is shorter than Ananya. Kabir is taller than Ananya. Who is the shortest? (a) Ananya (b) Ishaan (c) Kabir
11. 11.If NEST is written as LCQR, how is CAKE written in the same code? (a) BZJD (b) ZXHB (c) ECMG (d) AYIC
12. 12.Each person always tells the truth or always lies. Isha says: “Neel is a liar.” Neel says: “Isha and I are the same kind.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.Which number is the odd one out: 17, 83, 11, 48? (a) 17 (b) 83 (c) 11 (d) 48
14. 14.Which number is the odd one out: 67, 24, 33, 11? (a) 67 (b) 24 (c) 33 (d) 11
15. 15.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 27 | 24
    33 | 21 | 9
    18 | 15 | 30
16. 16.Each person always tells the truth or always lies. Tara says: “Arjun and I both tell the truth.” Arjun says: “At least one of us two, Tara or I, is a liar.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.Sneha walks 13 m East, turns right and walks 24 m, then turns right again and walks 6 m. How far is she from the starting point now, in a straight line (in m)?
18. 18.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 89 83 12 59 11 40. After step 3, what is the 5th number from the left?
19. 19.Aisha walks 7 km East, then turns left and walks 24 km. How far is she from the starting point now, in a straight line (in km)?
20. 20.Isha is facing West. She turns right, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
21. 21.Rule: If the shop is open, then Myra buys milk. Fact: The shop is not open. What can you say about “Myra buys milk”? (a) must be true (b) must be false (c) can't tell
22. 22.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
23. 23.In a group of 34 children, 13 play chess, 22 play carrom and 8 play both. How many play exactly one of the two?
24. 24.A clock shows 8:04. What time will it show 60 minutes later? (a) 9:14 (b) 10:04 (c) 8:54 (d) 9:04
25. 25.Ananya, Rahul and Meera each play a different game: badminton, chess or carrom. Rahul does not play carrom. Ananya does not play chess. Ananya does not play carrom. Which game does Meera play? (a) badminton (b) chess (c) carrom
26. 26.Find the missing number. The same rule works in every row or in every column.
    9 | ? | 16
    16 | 10 | 8
    25 | 13 | 24
27. 27.Each person always tells the truth or always lies. Neel says: “Omkar and I are the same kind.” Omkar says: “Neel and I are different kinds.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
28. 28.Kites flown at Makar Sankranti: Rahul 13, Sneha 17, Isha 12, Diya 15, Ira 19. How many more kites does Ira have than Isha?
29. 29.Kabir is older than Tara. Dev is older than Kabir. Dev is younger than Myra. Who is the youngest? (a) Dev (b) Myra (c) Tara (d) Kabir
30. 30.Which capital letter does NOT look the same in a mirror? (a) C (b) M (c) U (d) W
31. 31.2 October is a Thursday. What day of the week is 2 November of the same year? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
32. 32.Aisha runs faster than Isha. Omkar runs slower than Pooja. Pooja runs slower than Isha. Who runs the second fastest? (a) Isha (b) Omkar (c) Aisha (d) Pooja
33. 33.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
34. 34.Statements: No caps are rings. All balls are caps. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
35. 35.Aditya is taller than Ishaan. Siddharth is taller than Aditya. Who is the second tallest? (a) Aditya (b) Siddharth (c) Ishaan
36. 36.Aditya, Diya and Vivaan each have a different pet: dog, rabbit or cat. Diya does not have the rabbit. Vivaan does not have the dog. Aditya does not have the cat. Aditya does not have the rabbit. Who has the cat? (a) Aditya (b) Diya (c) Vivaan
37. 37.Five friends (Aditya, Ishaan, Meera, Nisha and Priya) sit in a row. Left and right are as you look at them. Meera sits somewhere to the left of Priya. Priya sits just to the right of Ishaan. Aditya sits somewhere to the left of Nisha. Priya sits next to both Ishaan and Nisha. Ishaan sits next to both Meera and Priya. Who sits just to the left of Ishaan? (a) Nisha (b) Ishaan (c) Priya (d) Meera
38. 38.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 exactly one painted face?
39. 39.Dev runs slower than Omkar. Neel runs faster than Pooja. Dev runs faster than Neel. Who runs the second fastest? (a) Dev (b) Neel (c) Pooja (d) Omkar
40. 40.Trees planted in a week: Nisha 34, Farhan 15, Tara 12, Omkar 37, Vivaan 30. What is the difference between the highest and the lowest?

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