Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 605 · 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.In a group of 48 children, 24 play chess, 20 play carrom and 4 play both. How many play only chess?
2. 2.Kabir walks 17 m West, then turns around and walks 4 m. How far is he from the starting point now (in m)?
3. 3.A clock shows 7:49. What time does it show in a mirror? (a) 3:11 (b) 5:49 (c) 5:11 (d) 4:11
4. 4.The sum of three consecutive even numbers is 114. What is the largest of them?
5. 5.Which number is the odd one out: 46, 24, 68, 96? (a) 46 (b) 24 (c) 68 (d) 96
6. 6.Saanvi is a girl. How is Saanvi’s mother’s brother’s son related to Saanvi? (a) brother (b) uncle (c) nephew (d) cousin
7. 7.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 6. What comes out after step 3?
8. 8.In a group of 44 children, 19 like mangoes, 24 like bananas and 4 like both. How many like exactly one of the two?
9. 9.Arjun, Yash and Neel each have a different pet: dog, cat or tortoise. Neel does not have the tortoise. Neel does not have the cat. Yash does not have the tortoise. Who has the dog? (a) Arjun (b) Yash (c) Neel
10. 10.Two standard dice show 5 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
11. 11.If BALL is written as KKZA, how is JUMP written in the same code? (a) QNVK (b) PMUJ (c) OLTI (d) ITLO
12. 12.If FISH is written as GRHE, how is SUN written in the same code? (a) OVT (b) MTR (c) RTM (d) NUS
13. 13.In a group of 42 children, 26 like mangoes, 20 like bananas and 7 like both. How many like at least one of the two?
14. 14.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly three painted faces?
15. 15.Each person always tells the truth or always lies. Arjun says: “Karan is a liar.” Karan says: “Arjun and I are the same kind.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
16. 16.Isha, Sneha and Meera each have a bag of a different colour: blue, white or green. Meera’s bag is not blue. Isha’s bag is not white. Sneha’s bag is not green. Sneha’s bag is not white. What colour is Sneha’s bag? (a) blue (b) white (c) green
17. 17.In a group of 29 children, 16 like mangoes, 9 like bananas and 3 like both. How many like only mangoes?
18. 18.Statements: No boxes are bells. All boxes are books. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
19. 19.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
20. 20.Diya is a girl. How is Diya’s mother’s brother related to Diya? (a) cousin (b) grandfather (c) uncle (d) brother
21. 21.1 January 2031 is a Wednesday. What day of the week is 15 March 2031? (a) Monday (b) Sunday (c) Saturday (d) Friday
22. 22.Statements: Some keys are kites. All kites are caps. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
23. 23.Farhan walks 8 m East, turns left and walks 4 m, then turns left again and walks 5 m. How far is he from the starting point now, in a straight line (in m)?
24. 24.Rohan walks 6 m East, then turns right and walks 8 m. How far is he from the starting point now, in a straight line (in m)?
25. 25.Zoya is a girl. How is Zoya’s brother’s son related to Zoya? (a) nephew (b) son (c) cousin (d) brother
26. 26.Manav is facing East. He turns right, then turns left, then turns around (a half turn), then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
27. 27.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan does not win the match. What can you say about “Karan gets a medal”? (a) must be true (b) must be false (c) can't tell
28. 28.In a group of 46 children, 21 enjoy drawing, 24 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
29. 29.In a group of 39 children, 19 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
30. 30.Find the missing number. The same rule works in every row or in every column.
    18 | 7 | 25
    16 | 3 | 19
    10 | 12 | ?
31. 31.I am a 2-digit number. My digits add up to 3 and my tens digit is 1 more than my ones digit. What number am I?
32. 32.Which number is the odd one out: 48, 52, 96, 8? (a) 48 (b) 52 (c) 96 (d) 8
33. 33.If HAND is written as DNAH, how is SHIP written in the same code? (a) TIJQ (b) QJIT (c) OHGR (d) PIHS
34. 34.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not get a medal. What can you say about “Siddharth wins the match”? (a) must be true (b) must be false (c) can't tell
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 11 ÷ 15 × 9?
36. 36.If CAKE is written as XZPV, how is BOOK written in the same code? (a) CPPL (b) XKKO (c) ZMMQ (d) YLLP
37. 37.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya finishes the homework. What can you say about “Ananya goes to the park”? (a) must be true (b) must be false (c) can't tell
38. 38.Each person always tells the truth or always lies. Manav says: “Kavya and I are different kinds.” Kavya says: “Manav and I are the same kind.” Dev says: “Kavya is a liar.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
39. 39.Statements: All coins are keys. Some shoes are coins. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
40. 40.Aarav walks 13 m South, turns right and walks 9 m, then turns right again and walks 1 m. How far is he from the starting point now, in a straight line (in m)?

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