Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 719 · 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.Omkar walks 6 km North, then turns right and walks 8 km. How far is he from the starting point now, in a straight line (in km)?
2. 2.Statements: No bags are kites. All shoes are bags. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 4. What comes out after step 2?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 6 × 2 ÷ 9?
5. 5.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly one painted face?
6. 6.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
7. 7.Aarav is heavier than Farhan. Vivaan is lighter than Farhan. Who is the heaviest? (a) Vivaan (b) Farhan (c) Aarav
8. 8.Which number is the odd one out: 97, 56, 11, 59? (a) 97 (b) 56 (c) 11 (d) 59
9. 9.Statements: Some coins are boxes. No rings are boxes. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
10. 10.Each person always tells the truth or always lies. Omkar says: “Yash and I both tell the truth.” Tara says: “Yash and I are different kinds.” Yash says: “Tara and I are different kinds.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
11. 11.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 5. What comes out after step 2?
12. 12.Which capital letter does NOT look the same in a mirror? (a) Y (b) J (c) O (d) I
13. 13.Nisha runs slower than Karan. Neel runs faster than Karan. Who runs the slowest? (a) Karan (b) Neel (c) Nisha
14. 14.Each person always tells the truth or always lies. Myra says: “Rahul is a liar.” Rahul says: “At least one of us two, Myra or I, is a liar.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 6 − 20 × 4?
16. 16.Three friends (Farhan, Isha and Siddharth) sit in a row. Left and right are as you look at them. Farhan sits next to both Siddharth and Isha. Isha sits just to the right of Farhan. Who sits just to the left of Farhan? (a) Isha (b) Farhan (c) Siddharth
17. 17.Find the missing number. The same rule works in every row or in every column.
    19 | 4 | ?
    16 | 8 | 24
    7 | 13 | 20
18. 18.Riya walks 10 m South, then turns left and walks 7 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
19. 19.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 7. What comes out after step 3?
20. 20.Kavya walks 30 m West, turns right and walks 7 m, then turns right again and walks 6 m. How far is she from the starting point now, in a straight line (in m)?
21. 21.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
22. 22.Diya, Tara and Omkar each have a bag of a different colour: yellow, white or red. Tara’s bag is not white. Diya’s bag is not yellow. Omkar’s bag is not yellow. Omkar’s bag is not white. What colour is Diya’s bag? (a) yellow (b) white (c) red
23. 23.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 5. What comes out after step 3?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 15 ÷ 19 × 14?
25. 25.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
26. 26.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: 14 85 34 90 88 18. After step 4, what is the 1st number from the left?
27. 27.Omkar is a boy. How is Omkar’s mother’s brother’s son related to Omkar? (a) uncle (b) nephew (c) brother (d) cousin
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 2 − 10 ÷ 14?
29. 29.Aisha is younger than Rahul. Ira is younger than Aisha. Who is the second youngest? (a) Aisha (b) Ira (c) Rahul
30. 30.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    25 | 28 | 13
    ? | 22 | 34
    31 | 16 | 19
31. 31.In a group of 30 children, 18 sing Hindi songs, 22 sing English songs and 12 sing both. How many sing neither of the two?
32. 32.Which number is the odd one out: 37, 54, 72, 24? (a) 37 (b) 54 (c) 72 (d) 24
33. 33.Pooja is lighter than Arjun. Neel is heavier than Isha. Pooja is heavier than Neel. Who is the lightest? (a) Pooja (b) Isha (c) Neel (d) Arjun
34. 34.Pooja walks 3 m South, then turns right and walks 4 m. How far is she from the starting point now, in a straight line (in m)?
35. 35.Tara, Ananya and Ira each have a different pet: cat, tortoise or dog. Tara does not have the dog. Tara does not have the cat. Ananya does not have the cat. Who has the tortoise? (a) Tara (b) Ananya (c) Ira
36. 36.Neel is a boy. How is Neel’s mother’s mother related to Neel? (a) grandmother (b) aunt (c) mother (d) sister
37. 37.Four friends (Aditya, Farhan, Rahul and Siddharth) sit in a row. Left and right are as you look at them. Rahul sits next to both Farhan and Aditya. Farhan does not sit at either end. Siddharth sits somewhere to the left of Aditya. Who sits at the left end? (a) Aditya (b) Farhan (c) Rahul (d) Siddharth
38. 38.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav does not get a gold star. What can you say about “Manav scores above 90”? (a) must be true (b) must be false (c) can't tell
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 17 + 7 ÷ 4?
40. 40.Dev is taller than Karan. Dev is shorter than Neel. Who is the tallest? (a) Neel (b) Karan (c) Dev

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