Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 426 · 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.I am a 2-digit number. My digits add up to 15 and my tens digit is 3 more than my ones digit. What number am I?
2. 2.Pooja, Manav and Sneha each have a different pet: rabbit, dog or parrot. Pooja does not have the rabbit. Manav does not have the parrot. Sneha does not have the rabbit. Pooja does not have the dog. Which pet does Sneha have? (a) rabbit (b) dog (c) parrot
3. 3.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
4. 4.Diya, Ishaan and Aditya each have a different pet: rabbit, parrot or dog. Ishaan does not have the dog. Aditya does not have the parrot. Diya does not have the parrot. Diya does not have the rabbit. Which pet does Ishaan have? (a) rabbit (b) parrot (c) dog
5. 5.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   30 | 9 | 24
   15 | 21 | 27
   ? | 33 | 12
6. 6.In a group of 30 children, 10 like mangoes, 18 like bananas and 2 like both. How many like only bananas?
7. 7.Statements: No books are coins. No caps are coins. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.In a group of 38 children, 15 play chess, 14 play carrom and 5 play both. How many play only carrom?
9. 9.Which number is the odd one out: 89, 29, 73, 63? (a) 89 (b) 29 (c) 73 (d) 63
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 8 ÷ 19 + 2?
11. 11.In a group of 46 children, 23 play chess, 19 play carrom and 4 play both. How many play only chess?
12. 12.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
13. 13.10 November is a Tuesday. What day of the week is 10 December of the same year? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
14. 14.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
15. 15.A clock shows 3:16. What time will it show 54 minutes later? (a) 4:20 (b) 4:10 (c) 4:00 (d) 5:10
16. 16.Aditya is taller than Omkar. Isha is taller than Myra. Aditya is shorter than Myra. Who is the second shortest? (a) Isha (b) Myra (c) Aditya (d) Omkar
17. 17.Omkar is a boy. How is Omkar’s mother’s only daughter related to Omkar? (a) aunt (b) niece (c) mother (d) sister
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 5 × 4 + 15?
19. 19.If MILK is written as NJML, how is SUN written in the same code? (a) OVT (b) RTM (c) UWP (d) TVO
20. 20.If PARK is written as MTCR, how is TREE written in the same code? (a) GGTV (b) VTGG (c) CCPR (d) EERT
21. 21.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
22. 22.Kabir is a boy. How is Kabir’s sister’s daughter related to Kabir? (a) sister (b) aunt (c) daughter (d) niece
23. 23.In a group of 27 children, 17 like mangoes, 19 like bananas and 10 like both. How many like only bananas?
24. 24.12 January is a Monday. What day of the week is 12 February of the same year? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
25. 25.A clock shows 7:13. What time does it show in a mirror? (a) 5:13 (b) 3:47 (c) 4:47 (d) 5:47
26. 26.Kabir is a boy. How is Kabir’s mother’s mother related to Kabir? (a) sister (b) aunt (c) grandmother (d) mother
27. 27.Sneha walks 9 m North, turns left and walks 6 m, then turns left again and walks 1 m. How far is she from the starting point now, in a straight line (in m)?
28. 28.Statements: Some shoes are bells. All rings are shoes. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 2 ÷ 14 − 19?
30. 30.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
31. 31.Statements: No books are bags. No books are bells. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
32. 32.Rohan is facing North. He 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
33. 33.Five friends (Aditya, Ananya, Isha, Riya and Tara) sit in a row. Left and right are as you look at them. Riya sits somewhere to the left of Ananya. Isha sits just to the right of Tara. Aditya does not sit at either end. Aditya sits next to both Riya and Ananya. Isha sits somewhere to the left of Ananya. Who sits at the left end? (a) Aditya (b) Ananya (c) Isha (d) Tara
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 8 + 6 − 3?
35. 35.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 4. What comes out after step 3?
36. 36.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: 67 27 80 19 61 55. After step 2, what is the 3rd number from the left?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 12 ÷ 15 + 13?
38. 38.In a group of 31 children, 23 like mangoes, 15 like bananas and 8 like both. How many like only bananas?
39. 39.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: 23 26 53 19 90 50. After step 3, what is the 5th number from the left?
40. 40.Each person always tells the truth or always lies. Kavya says: “Myra is a liar.” Myra says: “At least one of us two, Kavya or I, is a liar.” Rohan says: “Myra tells the truth.” Is Myra a truth-teller or a liar? (a) truth-teller (b) liar

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