Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 747 · 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.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   9 | 14 | 13
   16 | 12 | ?
   11 | 10 | 15
2. 2.Which number is the odd one out: 3, 18, 71, 11? (a) 3 (b) 18 (c) 71 (d) 11
3. 3.A clock shows 5:02. What time will it show 105 minutes later? (a) 7:47 (b) 6:47 (c) 6:37 (d) 6:57
4. 4.How many degrees does the hour hand of a clock turn in 162 minutes? =
5. 5.Which capital letter does NOT look the same in a mirror? (a) V (b) I (c) B (d) H
6. 6.Omkar is a boy. How is Omkar’s sister’s daughter related to Omkar? (a) aunt (b) sister (c) daughter (d) niece
7. 7.In a group of 37 grown-ups, 20 drink tea, 10 drink coffee and 5 drink both. How many drink at least one of the two?
8. 8.Each person always tells the truth or always lies. Myra says: “Arjun tells the truth.” Arjun says: “Myra and I are different kinds.” Is Myra a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.In a group of 36 grown-ups, 22 drink tea, 13 drink coffee and 2 drink both. How many drink only coffee?
10. 10.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
11. 11.Find the missing number. The same rule works in every row or in every column.
    ? | 20 | 27
    19 | 3 | 22
    18 | 16 | 34
12. 12.If DESK is written as BCQI, how is FISH written in the same code? (a) EHRG (b) DGQF (c) CFPE (d) HKUJ
13. 13.I am a 2-digit number. My digits add up to 11. If you swap my two digits, the new number is 27 more than me. What number am I?
14. 14.Which number is the odd one out: 41, 61, 3, 96? (a) 41 (b) 61 (c) 3 (d) 96
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 6 × 11 − 3?
16. 16.Which capital letter looks exactly the same in a mirror? (a) B (b) K (c) V (d) L
17. 17.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 8. What comes out after step 3?
18. 18.Runs scored in a cricket match: Zoya 30, Tara 56, Diya 53, Arjun 52, Rohan 7. What is the difference between the highest and the lowest?
19. 19.Steps climbed in a minute: Rohan 78, Yash 26, Isha 51, Aarav 46, Aditya 55. What is the total for all five children?
20. 20.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) S (b) B (c) N (d) M
21. 21.Tara is a girl. How is Tara’s brother’s wife related to Tara? (a) sister (b) sister-in-law (c) aunt (d) cousin
22. 22.Which number is the odd one out: 31, 13, 89, 94? (a) 31 (b) 13 (c) 89 (d) 94
23. 23.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
24. 24.If MILK is written as KLIM, how is TREE written in the same code? (a) EERT (b) DDQS (c) USFF (d) FFSU
25. 25.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
26. 26.Which number is the odd one out: 79, 54, 37, 41? (a) 79 (b) 54 (c) 37 (d) 41
27. 27.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: 46 11 79 74 51 62. After step 3, what is the 1st number from the left?
28. 28.Rahul runs faster than Diya. Diya runs faster than Zoya. Who runs the second slowest? (a) Zoya (b) Rahul (c) Diya
29. 29.Aditya walks 12 m South, then turns around and walks 2 m. How far is he from the starting point now (in m)?
30. 30.Each person always tells the truth or always lies. Rahul says: “Aisha is a liar.” Aisha says: “Rahul and I both tell the truth.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.How many degrees does the hour hand of a clock turn in 20 minutes? =
32. 32.Which capital letter looks exactly the same in a mirror? (a) R (b) N (c) I (d) P
33. 33.Find the missing number. The same rule works in every row or in every column.
    4 | 9 | 36
    6 | 5 | ?
    7 | 7 | 49
34. 34.8 August is a Sunday. What day of the week is 8 September of the same year? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
35. 35.How many degrees does the hour hand of a clock turn in 129 minutes? =
36. 36.Aisha walks 8 m North, turns right and walks 3 m, then turns right again and walks 4 m. How far is she from the starting point now, in a straight line (in m)?
37. 37.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
38. 38.Meera runs slower than Aarav. Pooja runs faster than Arjun. Aarav runs slower than Arjun. Who runs the second fastest? (a) Pooja (b) Meera (c) Arjun (d) Aarav
39. 39.Two standard dice show 2 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
40. 40.Find the missing number. The same rule works in every row or in every column.
    17 | 20 | 5
    4 | ? | 15
    21 | 38 | 20

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