Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 576 · 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 16 ÷ 13 − 15 + 5?
2. 2.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 4. What comes out after step 2?
3. 3.I am a 2-digit number. My digits add up to 14 and my tens digit is 2 more than my ones digit. What number am I?
4. 4.Which number is the odd one out: 37, 28, 89, 29? (a) 37 (b) 28 (c) 89 (d) 29
5. 5.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: 33 34 55 84 81 20. After step 4, what is the 2nd number from the left?
6. 6.Saanvi is older than Myra. Siddharth is younger than Myra. Saanvi is younger than Vivaan. Who is the youngest? (a) Vivaan (b) Saanvi (c) Siddharth (d) Myra
7. 7.In a group of 49 children, 26 sing Hindi songs, 23 sing English songs and 10 sing both. How many sing neither of the two?
8. 8.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
9. 9.In a group of 29 children, 11 enjoy drawing, 18 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
10. 10.Which number is the odd one out: 11, 19, 97, 34? (a) 11 (b) 19 (c) 97 (d) 34
11. 11.5 June is a Friday. What day of the week is 5 July of the same year? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
12. 12.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) L (b) E (c) W (d) A
13. 13.Omkar walks 16 m North, then turns right and walks 12 m. How far is he from the starting point now, in a straight line (in m)?
14. 14.How many degrees does the hour hand of a clock turn in 168 minutes? =
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 5 ÷ 13 − 13?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 × 5 − 8 + 12?
17. 17.If BELL is written as YVOO, how is SUN written in the same code? (a) IGN (b) GEL (c) TVO (d) HFM
18. 18.Find the missing number. The same rule works in every row or in every column.
    15 | 13 | 28
    ? | 15 | 16
    10 | 3 | 13
19. 19.Find the missing number. The same rule works in every row or in every column.
    3 | 3 | 9
    3 | 2 | ?
    5 | 5 | 25
20. 20.In a group of 25 children, 13 like mangoes, 13 like bananas and 8 like both. How many like at least one of the two?
21. 21.If GOLD is written as HPME, how is LION written in the same code? (a) KHNM (b) OPJM (c) MJPO (d) NKQP
22. 22.Find the missing number. The same rule works in every row or in every column.
    4 | 3 | 7
    2 | 13 | 15
    7 | ? | 15
23. 23.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: 12 51 78 71 70 17. After step 4, what is the 6th number from the left?
24. 24.Aarav walks 9 m West, then turns right and walks 15 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
25. 25.Kabir is facing East. He turns around (a half turn), then turns around (a half turn). Which direction is he facing now? (a) North (b) East (c) South (d) West
26. 26.5 May is a Saturday. What day of the week is 5 June of the same year? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
27. 27.Each person always tells the truth or always lies. Kavya says: “Neel and I are the same kind.” Neel says: “Kavya and I are different kinds.” Is Kavya a truth-teller or a liar? (a) truth-teller (b) liar
28. 28.If CAT is written as FDW, how is DESK written in the same code? (a) FGUM (b) HIWO (c) GHVN (d) ABPH
29. 29.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: 98 38 18 37 86 15. After step 3, what is the 5th number from the left?
30. 30.Find the missing number. The same rule works in every row or in every column.
    3 | 19 | 4
    16 | 2 | 8
    ? | 9 | 7
31. 31.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
32. 32.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    12 | ? | 20
    26 | 18 | 10
    16 | 14 | 24
33. 33.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan does not win the match. What can you say about “Farhan does not get a medal”? (a) must be true (b) must be false (c) can't tell
34. 34.Zoya, Priya and Dev each have a bag of a different colour: yellow, red or blue. Priya’s bag is not blue. Dev’s bag is not red. Priya’s bag is not yellow. Dev’s bag is not blue. Whose bag is blue? (a) Zoya (b) Priya (c) Dev
35. 35.Myra is facing East. She turns right, then turns left, then turns right, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
36. 36.Rohan is heavier than Arjun. Rohan is lighter than Rahul. Who is the second lightest? (a) Arjun (b) Rohan (c) Rahul
37. 37.Books read in the summer holidays: Arjun 12, Rahul 28, Isha 20, Yash 4, Aditya 10. How many more books does Arjun have than Aditya?
38. 38.Statements: All caps are bags. All shoes are bags. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
39. 39.Which number is the odd one out: 63, 81, 64, 16? (a) 63 (b) 81 (c) 64 (d) 16
40. 40.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: 68 18 33 99 81 19. After step 3, what is the 6th number from the left?

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