Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 676 · 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.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
2. 2.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 6. What comes out after step 3?
3. 3.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
4. 4.In a group of 25 children, 6 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
5. 5.Each person always tells the truth or always lies. Aarav says: “At least one of us two, Rohan or I, is a liar.” Rohan says: “Aarav and I both tell the truth.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
7. 7.If RAIN is written as NIAR, how is DOG written in the same code? (a) EPH (b) HPE (c) GOD (d) FNC
8. 8.Which number is the odd one out: 40, 16, 64, 60? (a) 40 (b) 16 (c) 64 (d) 60
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 3 ÷ 11 + 15?
10. 10.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    18 | 13 | 14
    ? | 15 | 19
    16 | 17 | 12
11. 11.Statements: Some shoes are bags. Some books are bags. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
12. 12.The sum of three consecutive numbers is 69. What is the smallest of them?
13. 13.In a group of 50 children, 31 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing at least one of the two?
14. 14.Myra runs faster than Omkar. Myra runs slower than Saanvi. Who runs the slowest? (a) Saanvi (b) Omkar (c) Myra
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 12 + 6 − 4?
16. 16.Yash walks 6 m South, then turns left and walks 5 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
17. 17.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    14 | 29 | ?
    11 | 17 | 23
    26 | 5 | 20
18. 18.Omkar walks 8 m North, then turns around and walks 6 m. How far is he from the starting point now (in m)?
19. 19.Rohan runs faster than Ishaan. Neel runs faster than Dev. Rohan runs slower than Dev. Who runs the slowest? (a) Dev (b) Neel (c) Rohan (d) Ishaan
20. 20.Which number is the odd one out: 89, 13, 16, 79? (a) 89 (b) 13 (c) 16 (d) 79
21. 21.Yash is taller than Arjun. Dev is taller than Yash. Who is the second tallest? (a) Arjun (b) Yash (c) Dev
22. 22.Kabir is facing North. He turns left, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
23. 23.A clock shows 9:28. What time will it show 69 minutes later? (a) 10:27 (b) 11:37 (c) 10:47 (d) 10:37
24. 24.Which number is the odd one out: 64, 16, 91, 49? (a) 64 (b) 16 (c) 91 (d) 49
25. 25.Kites flown at Makar Sankranti: Dev 2, Saanvi 5, Yash 8, Kabir 15, Meera 25. Who has the most kites? (a) Saanvi (b) Kabir (c) Meera (d) Dev
26. 26.Omkar walks 12 m North, then turns left and walks 16 m. How far is he from the starting point now, in a straight line (in m)?
27. 27.If CAKE is written as FLBD, how is SUN written in the same code? (a) NUS (b) TVO (c) MTR (d) OVT
28. 28.Which number is the odd one out: 9, 70, 75, 81? (a) 9 (b) 70 (c) 75 (d) 81
29. 29.Three friends (Arjun, Neel and Rahul) sit in a row. Left and right are as you look at them. Arjun sits just to the right of Neel. Rahul sits at the left end. Who sits in the middle? (a) Arjun (b) Rahul (c) Neel
30. 30.Four friends (Farhan, Ishaan, Kabir and Nisha) sit in a row. Left and right are as you look at them. Kabir sits at the right end. Farhan sits at the left end. Ishaan sits next to both Farhan and Nisha. Who sits just to the left of Nisha? (a) Nisha (b) Kabir (c) Ishaan (d) Farhan
31. 31.In a group of 42 children, 26 enjoy drawing, 18 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
32. 32.Which number is the odd one out: 89, 82, 67, 29? (a) 89 (b) 82 (c) 67 (d) 29
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 9 − 2 + 7?
34. 34.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 40 78 86 87 39. After step 2, what is the 1st number from the left?
35. 35.If TREE is written as EERT, how is LAMP written in the same code? (a) PMAL (b) QNBM (c) OLZK (d) MBNQ
36. 36.Each person always tells the truth or always lies. Nisha says: “Arjun tells the truth.” Arjun says: “Zoya tells the truth.” Zoya says: “Nisha and I are different kinds.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.1 January 2006 is a Sunday. What day of the week is 17 February 2006? (a) Friday (b) Saturday (c) Thursday (d) Sunday
38. 38.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 2. What comes out after step 2?
39. 39.Four friends (Aditya, Aisha, Ananya and Arjun) sit in a row. Left and right are as you look at them. Aditya sits somewhere to the left of Arjun. Ananya sits somewhere to the left of Aisha. Arjun sits next to both Ananya and Aisha. Who sits just to the left of Ananya? (a) Arjun (b) Aditya (c) Ananya (d) Aisha
40. 40.If FROG is written as GSPH, how is BOOK written in the same code? (a) CPPL (b) DQQM (c) ANNJ (d) LPPC

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