Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 283 · 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.Myra, Aisha and Aarav each play a different game: cricket, badminton or football. Aarav does not play badminton. Aisha does not play cricket. Myra does not play cricket. Myra does not play badminton. Which game does Myra play? (a) cricket (b) badminton (c) football
2. 2.The sum of three consecutive numbers is 30. What is the smallest of them?
3. 3.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
4. 4.Saanvi is older than Kabir. Kabir is older than Dev. Who is the second oldest? (a) Saanvi (b) Kabir (c) Dev
5. 5.1 January 2039 is a Saturday. What day of the week is 15 October 2039? (a) Monday (b) Sunday (c) Saturday (d) Friday
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 12 × 6 − 14?
7. 7.If JUMP is written as HSKN, how is MILK written in the same code? (a) JFIH (b) KGJI (c) OKNM (d) LHKJ
8. 8.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly two painted faces?
9. 9.Which number is the odd one out: 55, 50, 76, 95? (a) 55 (b) 50 (c) 76 (d) 95
10. 10.Two standard dice show 4 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
11. 11.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
12. 12.Each person always tells the truth or always lies. Nisha says: “Arjun and I are different kinds.” Arjun says: “Nisha is a liar.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
14. 14.Two standard dice show 6 and 3 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
15. 15.Arjun, Kavya and Saanvi each have a bag of a different colour: white, yellow or green. Kavya’s bag is not yellow. Arjun’s bag is not white. Arjun’s bag is not green. Saanvi’s bag is not white. What colour is Arjun’s bag? (a) white (b) yellow (c) green
16. 16.Each person always tells the truth or always lies. Tara says: “Priya and I both tell the truth.” Priya says: “Myra and I both tell the truth.” Myra says: “At least one of us two, Priya or I, is a liar.” Is Priya a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.Which number is the odd one out: 5, 85, 89, 13? (a) 5 (b) 85 (c) 89 (d) 13
18. 18.Kabir walks 23 m West, turns left and walks 12 m, then turns left again and walks 7 m. How far is he from the starting point now, in a straight line (in m)?
19. 19.Which number is the odd one out: 16, 64, 32, 21? (a) 16 (b) 64 (c) 32 (d) 21
20. 20.Myra walks 6 m West, then turns left and walks 8 m. How far is she from the starting point now, in a straight line (in m)?
21. 21.1 January 2017 is a Sunday. What day of the week is 6 September 2017? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
22. 22.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    10 | 5 | ?
    3 | 7 | 11
    8 | 9 | 4
23. 23.Farhan is older than Aditya. Ishaan is younger than Karan. Aditya is older than Karan. Who is the second oldest? (a) Karan (b) Ishaan (c) Farhan (d) Aditya
24. 24.I am a 2-digit number. My digits add up to 10. If you swap my two digits, the new number is 72 more than me. What number am I?
25. 25.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
26. 26.Statements: Some keys are rings. No rings are balls. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
27. 27.Yash, Rahul and Arjun each have a different pet: tortoise, cat or dog. Rahul does not have the cat. Rahul does not have the tortoise. Arjun does not have the tortoise. Who has the cat? (a) Yash (b) Rahul (c) Arjun
28. 28.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 no painted face?
29. 29.Manav is a boy. How is Manav’s father’s only son’s sister related to Manav? (a) mother (b) cousin (c) sister (d) aunt
30. 30.Which number is the odd one out: 68, 40, 80, 11? (a) 68 (b) 40 (c) 80 (d) 11
31. 31.Find the missing number. The same rule works in every row or in every column.
    2 | 6 | 12
    4 | 5 | ?
    2 | 8 | 16
32. 32.Rule: If the shop is open, then Yash buys milk. Fact: The shop is not open. What can you say about “Yash buys milk”? (a) must be true (b) must be false (c) can't tell
33. 33.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 5. What comes out after step 2?
34. 34.Manav is younger than Vivaan. Riya is younger than Manav. Nisha is younger than Riya. Who is the oldest? (a) Manav (b) Nisha (c) Riya (d) Vivaan
35. 35.Which number is the odd one out: 15, 83, 79, 71? (a) 15 (b) 83 (c) 79 (d) 71
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 3 − 20 ÷ 11?
37. 37.Neel, Aditya and Riya each have a bag of a different colour: white, yellow or red. Aditya’s bag is not yellow. Neel’s bag is not red. Riya’s bag is not white. Riya’s bag is not yellow. Whose bag is yellow? (a) Neel (b) Aditya (c) Riya
38. 38.Each person always tells the truth or always lies. Farhan says: “Omkar and I are the same kind.” Omkar says: “Farhan tells the truth.” Sneha says: “Farhan tells the truth.” Is Sneha a truth-teller or a liar? (a) truth-teller (b) liar
39. 39.Five friends (Diya, Kabir, Karan, Vivaan and Zoya) sit in a row. Left and right are as you look at them. Diya sits somewhere to the left of Karan. Karan does not sit at either end. Vivaan sits somewhere to the left of Kabir. Karan sits next to both Vivaan and Kabir. Diya sits somewhere to the left of Zoya. Vivaan sits next to both Diya and Karan. Who sits just to the right of Kabir? (a) Zoya (b) Vivaan (c) Diya (d) Kabir
40. 40.In a group of 30 children, 25 like mangoes, 15 like bananas and 12 like both. How many like at least one of the two?

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