Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 435 · 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.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 9. What comes out after step 2?
2. 2.Aisha is a girl. How is Aisha’s brother’s wife related to Aisha? (a) aunt (b) sister-in-law (c) cousin (d) sister
3. 3.Each person always tells the truth or always lies. Diya says: “Tara is a liar.” Tara says: “Diya and I are the same kind.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar
4. 4.Arjun is facing West. He turns right, then turns left, then turns around (a half turn), then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
5. 5.Two standard dice show 3 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
6. 6.Each person always tells the truth or always lies. Diya says: “At least one of us two, Arjun or I, is a liar.” Arjun says: “Diya and I are the same kind.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar
7. 7.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
8. 8.Five friends (Aditya, Ira, Ishaan, Sneha and Zoya) sit in a row. Left and right are as you look at them. Sneha sits somewhere to the left of Zoya. Aditya sits somewhere to the left of Ira. Ishaan sits somewhere to the left of Aditya. Ishaan sits somewhere to the left of Zoya. Aditya sits just to the right of Sneha. Zoya does not sit at either end. Who sits at the right end? (a) Aditya (b) Ira (c) Zoya (d) Ishaan
9. 9.Find the missing number. The same rule works in every row or in every column.
   ? | 20 | 25
   13 | 14 | 27
   6 | 15 | 21
10. 10.Kites flown at Makar Sankranti: Nisha 2, Pooja 25, Ishaan 19, Arjun 7, Kavya 3. How many children have more than 2 kites?
11. 11.Riya, Siddharth and Arjun each have a different pet: cat, dog or rabbit. Arjun does not have the rabbit. Siddharth does not have the dog. Riya does not have the dog. Siddharth does not have the rabbit. Which pet does Riya have? (a) cat (b) dog (c) rabbit
12. 12.The sum of three consecutive numbers is 27. What is the smallest of them?
13. 13.Which number is the odd one out: 53, 13, 39, 17? (a) 53 (b) 13 (c) 39 (d) 17
14. 14.Ira, Arjun and Siddharth each play a different game: football, badminton or carrom. Ira does not play carrom. Arjun does not play football. Siddharth does not play badminton. Siddharth does not play carrom. Who plays badminton? (a) Ira (b) Arjun (c) Siddharth
15. 15.A clock shows 4:48. What time does it show in a mirror? (a) 7:12 (b) 8:48 (c) 8:12 (d) 6:12
16. 16.Find the missing number. The same rule works in every row or in every column.
    13 | 9 | 2
    5 | ? | 11
    1 | 14 | 9
17. 17.If JUMP is written as LWOR, how is COLD written in the same code? (a) EQNF (b) DPME (c) FROG (d) AMJB
18. 18.Aarav is facing West. He turns right, then turns right, then turns left, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
19. 19.Ananya, Aditya and Farhan each have a different pet: dog, tortoise or cat. Aditya does not have the dog. Farhan does not have the tortoise. Ananya does not have the dog. Ananya does not have the tortoise. Which pet does Ananya have? (a) dog (b) tortoise (c) cat
20. 20.Is 2037 a leap year? (a) Yes (b) No
21. 21.Statements: Some books are rings. All rings are bells. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
22. 22.Rohan is a boy. How is Rohan’s mother’s brother related to Rohan? (a) cousin (b) brother (c) uncle (d) grandfather
23. 23.Which number is the odd one out: 45, 24, 90, 27? (a) 45 (b) 24 (c) 90 (d) 27
24. 24.If GOLD is written as IQNF, how is BALL written in the same code? (a) EDOO (b) ZYJJ (c) DCNN (d) CBMM
25. 25.Which number is the odd one out: 61, 67, 18, 43? (a) 61 (b) 67 (c) 18 (d) 43
26. 26.Statements: Some keys are boxes. Some boxes are coins. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
27. 27.The sum of three consecutive even numbers is 198. What is the smallest of them?
28. 28.Which capital letter looks exactly the same in a mirror? (a) K (b) D (c) L (d) U
29. 29.Siddharth is lighter than Meera. Sneha is heavier than Meera. Who is the heaviest? (a) Siddharth (b) Sneha (c) Meera
30. 30.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 8. What comes out after step 3?
31. 31.Statements: All cups are boxes. Some boxes are kites. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 4 × 3 ÷ 5?
33. 33.Farhan is older than Omkar. Omkar is older than Diya. Who is the second youngest? (a) Omkar (b) Farhan (c) Diya
34. 34.How many degrees does the hour hand of a clock turn in 82 minutes? =
35. 35.Marks in a maths test (out of 50): Siddharth 40, Diya 16, Ananya 48, Rahul 29, Dev 17. What is the difference between the highest and the lowest?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 11 + 4 ÷ 7?
37. 37.If RAIN is written as IZRM, how is BOOK written in the same code? (a) CPPL (b) XKKO (c) YLLP (d) ZMMQ
38. 38.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
39. 39.Which number is the odd one out: 13, 48, 24, 88? (a) 13 (b) 48 (c) 24 (d) 88
40. 40.In a group of 16 children, 9 play cricket, 12 play football and 6 play both. How many play at least one of the two?

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