Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 483 · 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 2:06? (in degrees) =
2. 2.Is 1998 a leap year? (a) Yes (b) No
3. 3.In a group of 36 children, 17 play cricket, 13 play football and 7 play both. How many play at least one of the two?
4. 4.Rohan, Ira and Aarav each have a bag of a different colour: green, yellow or blue. Ira’s bag is not yellow. Ira’s bag is not blue. Aarav’s bag is not blue. What colour is Ira’s bag? (a) green (b) yellow (c) blue
5. 5.Statements: All bells are pens. No bells are balls. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
6. 6.1 January 2036 is a Tuesday. What day of the week is 29 October 2036? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
7. 7.Farhan is facing North. He turns left, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
8. 8.In a group of 37 grown-ups, 9 drink tea, 23 drink coffee and 5 drink both. How many drink neither of the two?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 8 + 4 ÷ 2?
10. 10.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    16 | 18 | 8
    6 | 14 | ?
    20 | 10 | 12
11. 11.In a group of 33 grown-ups, 15 drink tea, 7 drink coffee and 3 drink both. How many drink only tea?
12. 12.Each person always tells the truth or always lies. Meera says: “Aditya is a liar.” Aditya says: “At least one of us two, Meera or I, is a liar.” Is Meera a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.Aisha is taller than Tara. Kavya is shorter than Dev. Tara is taller than Dev. Who is the shortest? (a) Kavya (b) Aisha (c) Dev (d) Tara
14. 14.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    8 | 9 | 4
    3 | 7 | 11
    10 | 5 | ?
15. 15.Find the missing number. The same rule works in every row or in every column.
    18 | 2 | 12
    15 | 8 | 12
    ? | 10 | 24
16. 16.Each person always tells the truth or always lies. Riya says: “Rohan and I are the same kind.” Rohan says: “Riya tells the truth.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.Aarav walks 6 m South, then turns left and walks 8 m. How far is he from the starting point now, in a straight line (in m)?
18. 18.A number machine multiplies a number by 2 and then takes away 5. Each output goes back in as the next input. Start with 6. What comes out after step 2?
19. 19.Ishaan walks 16 m West, turns left and walks 5 m, then turns left again and walks 4 m. How far is he from the starting point now, in a straight line (in m)?
20. 20.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: 56 63 86 67 13 61. After step 2, what is the 1st number from the left?
21. 21.Statements: No toys are bags. All books are bags. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
22. 22.Find the missing number. The same rule works in every row or in every column.
    2 | 3 | 6
    ? | 8 | 64
    2 | 5 | 10
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: 20 77 53 25 15 32. After step 3, what is the 3rd number from the left?
24. 24.Statements: All keys are bells. Some rings are bells. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
25. 25.If MILK is written as NROP, how is LAMP written in the same code? (a) PAOL (b) OZNK (c) MBNQ (d) NYMJ
26. 26.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: 45 84 30 89 37 92. After step 2, what is the 4th number from the left?
27. 27.6 July is a Sunday. What day of the week is 6 August of the same year? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
28. 28.Runs scored in a cricket match: Diya 52, Dev 46, Myra 9, Neel 6, Aarav 14. What is the difference between the highest and the lowest?
29. 29.In a group of 25 children, 14 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
30. 30.Isha is heavier than Neel. Aditya is lighter than Neel. Isha is lighter than Rahul. Who is the second heaviest? (a) Neel (b) Aditya (c) Rahul (d) Isha
31. 31.Two standard dice show 1 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
32. 32.In a group of 25 children, 17 play chess, 8 play carrom and 2 play both. How many play at least one of the two?
33. 33.Find the missing number. The same rule works in every row or in every column.
    5 | 3 | 15
    7 | 2 | 14
    9 | ? | 63
34. 34.Ishaan walks 8 m South, then turns right and walks 6 m. How far is he from the starting point now, in a straight line (in m)?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 3 + 3 − 17?
36. 36.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
37. 37.Siddharth is a boy. How is Siddharth’s father’s only son’s sister related to Siddharth? (a) mother (b) aunt (c) cousin (d) sister
38. 38.If BALL is written as YZOO, how is NEST written in the same code? (a) OFTU (b) MVHG (c) LUGF (d) NWIH
39. 39.Each person always tells the truth or always lies. Arjun says: “Aarav and I are the same kind.” Aarav says: “Arjun is a liar.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
40. 40.If MILK is written as NROP, how is DOG written in the same code? (a) VKS (b) WLT (c) EPH (d) XMU

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