Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 668 · 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 clock shows 2:46. What time will it show 61 minutes later? (a) 3:47 (b) 3:37 (c) 4:47 (d) 3:57
2. 2.Books read in the summer holidays: Arjun 8, Vivaan 4, Aarav 30, Aditya 18, Riya 17. What is the total for all five children?
3. 3.Is 2200 a leap year? (a) Yes (b) No
4. 4.Four friends (Ananya, Kabir, Kavya and Neel) sit in a row. Left and right are as you look at them. Ananya does not sit at either end. Neel sits just to the right of Kabir. Ananya sits somewhere to the left of Neel. Who sits at the right end? (a) Kabir (b) Kavya (c) Neel (d) Ananya
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 18 × 4 − 14?
6. 6.Find the missing number. The same rule works in every row or in every column.
   5 | 2 | 10
   4 | 8 | 32
   4 | ? | 16
7. 7.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have at least one painted face?
8. 8.Which number is the odd one out: 82, 31, 37, 59? (a) 82 (b) 31 (c) 37 (d) 59
9. 9.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 3 − 10 ÷ 19?
11. 11.Each person always tells the truth or always lies. Ishaan says: “Siddharth tells the truth.” Siddharth says: “Ishaan and I are the same kind.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
12. 12.If FROG is written as UILT, how is STAR written in the same code? (a) IHAJ (b) GFYH (c) HGZI (d) TUBS
13. 13.In a group of 28 children, 14 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
14. 14.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan does not finish the homework. What can you say about “Vivaan goes to the park”? (a) must be true (b) must be false (c) can't tell
15. 15.If CAKE is written as DJZB, how is NEST written in the same code? (a) UTFO (b) SRDM (c) TSEN (d) MDRS
16. 16.Kabir walks 28 m South, then turns around and walks 13 m. How far is he from the starting point now (in m)?
17. 17.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    8 | 18 | 4
    6 | 10 | 14
    16 | 2 | ?
18. 18.Books read in the summer holidays: Myra 12, Nisha 11, Aditya 4, Siddharth 26, Vivaan 18. What is the total for all five children?
19. 19.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
20. 20.Five friends (Aarav, Dev, Meera, Riya and Siddharth) sit in a row. Left and right are as you look at them. Riya sits somewhere to the left of Aarav. Dev sits next to both Riya and Aarav. Siddharth sits somewhere to the left of Meera. Riya sits next to both Siddharth and Dev. Who sits in the middle? (a) Dev (b) Siddharth (c) Meera (d) Aarav
21. 21.Rohan is heavier than Aisha. Ishaan is heavier than Rohan. Who is the second heaviest? (a) Aisha (b) Rohan (c) Ishaan
22. 22.Nisha is shorter than Tara. Myra is shorter than Aditya. Tara is shorter than Myra. Who is the second tallest? (a) Nisha (b) Aditya (c) Tara (d) Myra
23. 23.In a group of 39 children, 18 like mangoes, 26 like bananas and 10 like both. How many like at least one of the two?
24. 24.Yash is a boy. How is Yash’s mother’s mother related to Yash? (a) aunt (b) sister (c) mother (d) grandmother
25. 25.Today is Thursday. What day of the week will it be 61 days from today? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
26. 26.Four friends (Ananya, Farhan, Myra and Neel) sit in a row. Left and right are as you look at them. Neel sits somewhere to the left of Ananya. Ananya sits just to the right of Farhan. Myra does not sit at either end. Who sits at the right end? (a) Neel (b) Myra (c) Farhan (d) Ananya
27. 27.Saanvi is a girl. How is Saanvi’s brother’s wife related to Saanvi? (a) sister-in-law (b) cousin (c) sister (d) aunt
28. 28.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 8. What comes out after step 3?
29. 29.A clock shows 5:10. What time will it show 48 minutes later? (a) 6:08 (b) 5:48 (c) 6:58 (d) 5:58
30. 30.3 September is a Thursday. What day of the week is 3 October of the same year? (a) Sunday (b) Monday (c) Saturday (d) Friday
31. 31.If NEST is written as TSEN, how is TOYS written in the same code? (a) SYOT (b) UPZT (c) TZPU (d) RXNS
32. 32.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
33. 33.Five friends (Aisha, Isha, Kavya, Riya and Zoya) sit in a row. Left and right are as you look at them. Zoya does not sit at either end. Isha sits somewhere to the left of Riya. Aisha sits at the right end. Isha does not sit at either end. Aisha sits just to the right of Riya. Zoya sits just to the right of Isha. Who sits in the middle? (a) Riya (b) Kavya (c) Aisha (d) Zoya
34. 34.Which number is the odd one out: 31, 11, 3, 87? (a) 31 (b) 11 (c) 3 (d) 87
35. 35.Statements: Some bells are books. No bells are shoes. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
36. 36.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 9. What comes out after step 2?
37. 37.Which number is the odd one out: 71, 72, 61, 89? (a) 71 (b) 72 (c) 61 (d) 89
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 11 − 8 ÷ 10?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 3 − 20 + 3?
40. 40.Two standard dice show 4 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?

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