Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 349 · 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.Which capital letter looks exactly the same in a mirror? (a) D (b) G (c) L (d) M
2. 2.Which number is the odd one out: 48, 24, 28, 8? (a) 48 (b) 24 (c) 28 (d) 8
3. 3.Which number is the odd one out: 83, 89, 84, 59? (a) 83 (b) 89 (c) 84 (d) 59
4. 4.Marks in a maths test (out of 50): Ananya 47, Zoya 31, Farhan 34, Aisha 43, Siddharth 25. What is the total for all five children?
5. 5.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have at least one painted face?
6. 6.Each person always tells the truth or always lies. Aarav says: “Siddharth and I are the same kind.” Ira says: “Aarav tells the truth.” Siddharth says: “Ira is a liar.” Is Siddharth a truth-teller or a liar? (a) truth-teller (b) liar
7. 7.Sneha is facing West. She turns left, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
8. 8.Aarav walks 4 km West, then turns right and walks 3 km. How far is he from the starting point now, in a straight line (in km)?
9. 9.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?
10. 10.Aisha, Ananya and Vivaan each have a different pet: parrot, rabbit or tortoise. Ananya does not have the parrot. Vivaan does not have the rabbit. Ananya does not have the tortoise. Aisha does not have the tortoise. Which pet does Ananya have? (a) parrot (b) rabbit (c) tortoise
11. 11.If CAKE is written as XZPV, how is FISH written in the same code? (a) TQGR (b) URHS (c) GJTI (d) VSIT
12. 12.Statements: All pens are toys. All boxes are pens. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
13. 13.Which capital letter looks exactly the same in a mirror? (a) C (b) V (c) B (d) P
14. 14.Manav is facing North. He turns left, then turns right, then turns right, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
15. 15.Nisha is younger than Pooja. Aditya is older than Tara. Nisha is older than Aditya. Who is the youngest? (a) Nisha (b) Aditya (c) Tara (d) Pooja
16. 16.Today is Sunday. What day of the week will it be 39 days from today? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
17. 17.Statements: No toys are pens. All keys are toys. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
18. 18.Today is Tuesday. What day of the week will it be 23 days from today? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
19. 19.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
20. 20.Find the missing number. The same rule works in every row or in every column.
    12 | 7 | 13
    2 | ? | 18
    14 | 27 | 31
21. 21.I am a 2-digit number. My digits add up to 9. If you swap my two digits, the new number is 45 more than me. What number am I?
22. 22.Rahul walks 18 m North, turns right and walks 12 m, then turns right again and walks 2 m. How far is he from the starting point now, in a straight line (in m)?
23. 23.In a group of 53 children, 21 sing Hindi songs, 24 sing English songs and 6 sing both. How many sing neither of the two?
24. 24.Five friends (Dev, Ishaan, Neel, Riya and Vivaan) sit in a row. Left and right are as you look at them. Neel sits just to the right of Riya. Vivaan does not sit at either end. Dev sits somewhere to the left of Neel. Ishaan sits somewhere to the left of Neel. Ishaan sits next to both Vivaan and Riya. Who sits at the right end? (a) Riya (b) Dev (c) Ishaan (d) Neel
25. 25.Kavya walks 6 m East, then turns left and walks 8 m. How far is she from the starting point now, in a straight line (in m)?
26. 26.Rohan, Dev and Isha each have a bag of a different colour: red, yellow or green. Dev’s bag is not red. Dev’s bag is not green. Isha’s bag is not green. Whose bag is yellow? (a) Rohan (b) Dev (c) Isha
27. 27.Sneha walks 25 m South, then turns around and walks 16 m. How far is she from the starting point now (in m)?
28. 28.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: 52 83 44 21 53 23. After step 2, what is the 1st number from the left?
29. 29.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    9 | 19 | ?
    23 | 15 | 7
    13 | 11 | 21
30. 30.Which capital letter looks exactly the same in a mirror? (a) C (b) B (c) A (d) E
31. 31.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 2 ÷ 6 − 2?
33. 33.Each person always tells the truth or always lies. Aarav says: “Neel and I are different kinds.” Neel says: “Aarav is a liar.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.Statements: All shoes are cups. All shoes are pens. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
35. 35.Find the missing number. The same rule works in every row or in every column.
    8 | 13 | 5
    13 | 9 | 5
    ? | 22 | 10
36. 36.Riya walks 28 m South, then turns around and walks 6 m. How far is she from the starting point now (in m)?
37. 37.Statements: Some bags are boxes. No boxes are balls. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
38. 38.Each person always tells the truth or always lies. Priya says: “Saanvi is a liar.” Saanvi says: “Priya and I both tell the truth.” Is Saanvi a truth-teller or a liar? (a) truth-teller (b) liar
39. 39.Which number is the odd one out: 72, 90, 54, 40? (a) 72 (b) 90 (c) 54 (d) 40
40. 40.In a group of 37 grown-ups, 21 drink tea, 23 drink coffee and 8 drink both. How many drink at least one of the two?

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