Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 932 · 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.Statements: Some cups are bags. All bags are shoes. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
2. 2.Sneha is a girl. How is Sneha’s brother’s son related to Sneha? (a) brother (b) nephew (c) cousin (d) son
3. 3.Statements: Some coins are rings. All rings are bags. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
4. 4.Runs scored in a cricket match: Meera 45, Siddharth 8, Karan 53, Ishaan 42, Manav 12. What is the total for all five children?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 16 × 13 + 20?
6. 6.Five friends (Arjun, Diya, Ishaan, Manav and Pooja) sit in a row. Left and right are as you look at them. Manav sits somewhere to the left of Arjun. Arjun sits somewhere to the left of Pooja. Diya sits somewhere to the left of Pooja. Pooja sits at the right end. Arjun sits just to the right of Diya. Pooja sits just to the right of Ishaan. Who sits at the left end? (a) Diya (b) Manav (c) Arjun (d) Ishaan
7. 7.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan gets a gold star. What can you say about “Vivaan does not score above 90”? (a) must be true (b) must be false (c) can't tell
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 19 + 11 × 7?
9. 9.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: 33 11 53 29 76 63. After step 3, what is the 4th number from the left?
10. 10.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 8. What comes out after step 3?
11. 11.Five friends (Aisha, Manav, Neel, Pooja and Sneha) sit in a row. Left and right are as you look at them. Sneha sits somewhere to the left of Pooja. Sneha sits at the left end. Neel sits next to both Manav and Pooja. Manav sits next to both Sneha and Neel. Who sits just to the right of Pooja? (a) Aisha (b) Pooja (c) Manav (d) Neel
12. 12.Siddharth runs slower than Riya. Pooja runs faster than Ananya. Siddharth runs faster than Pooja. Who runs the second fastest? (a) Siddharth (b) Ananya (c) Pooja (d) Riya
13. 13.Statements: No bags are bells. No rings are bells. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
14. 14.Each person always tells the truth or always lies. Vivaan says: “Manav tells the truth.” Manav says: “Vivaan and I are the same kind.” Is Manav a truth-teller or a liar? (a) truth-teller (b) liar
15. 15.Find the missing number. The same rule works in every row or in every column.
    16 | 3 | 9
    20 | 7 | 6
    ? | 10 | 15
16. 16.Statements: All kites are books. All kites are bags. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
17. 17.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
18. 18.In a group of 37 grown-ups, 12 drink tea, 26 drink coffee and 6 drink both. How many drink only coffee?
19. 19.I am a 2-digit number. My digits add up to 8 and my tens digit is 6 more than my ones digit. What number am I?
20. 20.Statements: No books are caps. Some caps are cups. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
21. 21.Find the missing number. The same rule works in every row or in every column.
    5 | 14 | 19
    ? | 16 | 18
    2 | 5 | 7
22. 22.What is the smaller angle between the hour hand and the minute hand at 7:12? (in degrees) =
23. 23.A wooden cube is painted on all six faces, then each edge is cut into 5 equal parts, making small cubes. How many small cubes have exactly two painted faces?
24. 24.Find the missing number. The same rule works in every row or in every column.
    4 | 4 | 16
    2 | ? | 4
    6 | 7 | 42
25. 25.I am a 2-digit number. My digits add up to 10. If you swap my two digits, the new number is 36 more than me. What number am I?
26. 26.Farhan is facing West. He turns right, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
27. 27.Two standard dice show 1 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
28. 28.Rohan walks 6 m West, then turns right and walks 14 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
29. 29.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have exactly three painted faces?
30. 30.1 January 2006 is a Sunday. What day of the week is 29 August 2006? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
31. 31.Three friends (Aditya, Pooja and Yash) sit in a row. Left and right are as you look at them. Aditya sits somewhere to the left of Pooja. Yash sits next to both Aditya and Pooja. Who sits at the right end? (a) Pooja (b) Yash (c) Aditya
32. 32.Find the missing number. The same rule works in every row or in every column.
    3 | 6 | 6
    3 | 5 | 1
    ? | 11 | 7
33. 33.Today is Monday. What day of the week will it be 67 days from today? (a) Thursday (b) Saturday (c) Friday (d) Sunday
34. 34.Four friends (Ananya, Arjun, Rohan and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits at the left end. Rohan sits just to the right of Vivaan. Arjun does not sit at either end. Who sits at the right end? (a) Rohan (b) Arjun (c) Ananya (d) Vivaan
35. 35.Statements: All cups are pens. No pens are rings. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
36. 36.Each person always tells the truth or always lies. Karan says: “Aisha is a liar.” Aisha says: “Karan and I are different kinds.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.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: 95 71 63 30 11 79. After step 4, what is the 6th number from the left?
38. 38.Statements: Some bells are cups. Some pens are bells. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
39. 39.The sum of three consecutive numbers is 42. What is the largest of them?
40. 40.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Q (b) X (c) L (d) Z

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