Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 494 · 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.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
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: 27 97 66 38 95 45. After step 3, what is the 2nd number from the left?
3. 3.If MILK is written as KLIM, how is FISH written in the same code? (a) GJTI (b) ITJG (c) GRHE (d) HSIF
4. 4.Rahul walks 13 m North, turns left and walks 16 m, then turns left again and walks 1 m. How far is he from the starting point now, in a straight line (in m)?
5. 5.Three friends (Isha, Myra and Omkar) sit in a row. Left and right are as you look at them. Myra sits next to both Omkar and Isha. Isha sits just to the right of Myra. Who sits at the left end? (a) Omkar (b) Myra (c) Isha
6. 6.A clock shows 12:28. What time does it show in a mirror? (a) 12:28 (b) 10:32 (c) 12:32 (d) 11:32
7. 7.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
8. 8.A clock shows 8:47. What time does it show in a mirror? (a) 2:13 (b) 4:13 (c) 3:13 (d) 4:47
9. 9.Omkar walks 14 m North, turns right and walks 16 m, then turns right again and walks 2 m. How far is he from the starting point now, in a straight line (in m)?
10. 10.Statements: No pens are bells. Some bags are bells. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
11. 11.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
12. 12.If SHIP is written as RKJU, how is MILK written in the same code? (a) IJGK (b) MNKO (c) OKNM (d) KLIM
13. 13.The sum of three consecutive even numbers is 246. What is the smallest of them?
14. 14.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    12 | 13 | 8
    7 | 11 | 15
    14 | 9 | ?
15. 15.Priya is a girl. How is Priya’s son’s son related to Priya? (a) son (b) grandson (c) nephew (d) brother
16. 16.Which number is the odd one out: 75, 83, 29, 37? (a) 75 (b) 83 (c) 29 (d) 37
17. 17.Find the missing number. The same rule works in every row or in every column.
    10 | 2 | 2
    11 | 2 | 1
    8 | ? | 4
18. 18.Which capital letter looks exactly the same in a mirror? (a) Z (b) L (c) A (d) F
19. 19.Statements: Some coins are rings. All coins are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
20. 20.Rohan is lighter than Saanvi. Sneha is lighter than Rohan. Kavya is heavier than Saanvi. Who is the heaviest? (a) Kavya (b) Rohan (c) Saanvi (d) Sneha
21. 21.Saanvi is older than Aditya. Neel is older than Saanvi. Who is the second youngest? (a) Saanvi (b) Aditya (c) Neel
22. 22.Which number is the odd one out: 39, 32, 8, 38? (a) 39 (b) 32 (c) 8 (d) 38
23. 23.Which capital letter does NOT look the same in a mirror? (a) I (b) V (c) T (d) R
24. 24.Priya is facing North. She turns right, then turns right, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
25. 25.The sum of three consecutive numbers is 72. What is the largest of them?
26. 26.Four friends (Aisha, Ira, Myra and Omkar) sit in a row. Left and right are as you look at them. Ira sits somewhere to the left of Omkar. Aisha sits next to both Myra and Omkar. Omkar sits just to the right of Aisha. Who sits at the left end? (a) Aisha (b) Omkar (c) Ira (d) Myra
27. 27.Which capital letter looks exactly the same in a mirror? (a) B (b) D (c) I (d) K
28. 28.Diya is shorter than Manav. Saanvi is taller than Manav. Who is the shortest? (a) Diya (b) Saanvi (c) Manav
29. 29.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: 54 41 55 50 93 13. After step 4, what is the 5th number from the left?
30. 30.Today is Sunday. What day of the week will it be 80 days from today? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
31. 31.Four friends (Karan, Myra, Neel and Tara) sit in a row. Left and right are as you look at them. Neel sits just to the right of Karan. Myra sits somewhere to the left of Neel. Neel does not sit at either end. Who sits just to the right of Neel? (a) Karan (b) Neel (c) Tara (d) Myra
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 3 − 18 ÷ 4?
33. 33.Find the missing number. The same rule works in every row or in every column.
    15 | ? | 24
    10 | 20 | 30
    6 | 20 | 26
34. 34.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 4. What comes out after step 2?
35. 35.Karan is facing North. He turns around (a half turn), then turns left, then turns around (a half turn). Which direction is he facing now? (a) North (b) East (c) South (d) West
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 17 ÷ 6 + 19?
37. 37.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: 29 87 35 82 23 22. After step 2, what is the 2nd number from the left?
38. 38.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
39. 39.Tara is facing East. She turns left, then turns right, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
40. 40.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav does not get a medal. What can you say about “Manav does not win the match”? (a) must be true (b) must be false (c) can't tell

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