Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 957 · 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.Is 2000 a leap year? (a) Yes (b) No
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 3 ÷ 4 − 14?
3. 3.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
4. 4.Aarav is a boy. How is Aarav’s son’s son related to Aarav? (a) nephew (b) brother (c) grandson (d) son
5. 5.The sum of three consecutive numbers is 39. What is the largest of them?
6. 6.Each person always tells the truth or always lies. Neel says: “Isha and I both tell the truth.” Dev says: “Isha and I are different kinds.” Isha says: “Dev is a liar.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
7. 7.Each person always tells the truth or always lies. Karan says: “Aarav and I are the same kind.” Aarav says: “At least one of us two, Karan or I, is a liar.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
8. 8.Arjun is a boy. How is Arjun’s sister’s daughter related to Arjun? (a) niece (b) daughter (c) sister (d) aunt
9. 9.Pooja, Farhan and Priya each play a different game: football, chess or carrom. Priya does not play carrom. Farhan does not play chess. Pooja does not play football. Farhan does not play football. Which game does Pooja play? (a) football (b) chess (c) carrom
10. 10.Which number is the odd one out: 5, 71, 65, 85? (a) 5 (b) 71 (c) 65 (d) 85
11. 11.Ira is a girl. How is Ira’s mother’s brother’s son related to Ira? (a) nephew (b) uncle (c) cousin (d) brother
12. 12.Which number is the odd one out: 23, 84, 2, 61? (a) 23 (b) 84 (c) 2 (d) 61
13. 13.Three friends (Aisha, Arjun and Karan) sit in a row. Left and right are as you look at them. Aisha sits just to the right of Arjun. Aisha sits next to both Arjun and Karan. Who sits at the left end? (a) Arjun (b) Karan (c) Aisha
14. 14.In a group of 31 grown-ups, 15 drink tea, 15 drink coffee and 11 drink both. How many drink at least one of the two?
15. 15.Rahul runs slower than Yash. Karan runs faster than Yash. Who runs the second slowest? (a) Karan (b) Yash (c) Rahul
16. 16.Each person always tells the truth or always lies. Ananya says: “At least one of us two, Dev or I, is a liar.” Dev says: “Ananya and I both tell the truth.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.Two standard dice show 1 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
18. 18.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
19. 19.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly three painted faces?
20. 20.Isha is a girl. How is Isha’s son’s wife related to Isha? (a) daughter-in-law (b) niece (c) sister-in-law (d) daughter
21. 21.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: 34 62 89 20 25 92. After step 4, what is the 3rd number from the left?
22. 22.What is the smaller angle between the hour hand and the minute hand at 9:28? (in degrees) =
23. 23.Statements: All shoes are caps. All kites are caps. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
24. 24.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 2. What comes out after step 2?
25. 25.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    19 | 22 | 7
    4 | ? | 28
    25 | 10 | 13
26. 26.Rohan is a boy. How is Rohan’s father’s sister related to Rohan? (a) aunt (b) mother (c) cousin (d) sister
27. 27.In a group of 38 children, 19 play cricket, 9 play football and 3 play both. How many play only football?
28. 28.A clock shows 4:32. What time does it show in a mirror? (a) 8:28 (b) 6:28 (c) 8:32 (d) 7:28
29. 29.Books read in the summer holidays: Pooja 21, Tara 20, Aisha 18, Farhan 27, Sneha 12. Who has the fewest books? (a) Aisha (b) Farhan (c) Sneha (d) Tara
30. 30.A clock shows 6:29. What time does it show in a mirror? (a) 6:29 (b) 5:31 (c) 6:31 (d) 4:31
31. 31.Find the missing number. The same rule works in every row or in every column.
    11 | 1 | 2
    6 | 6 | 2
    7 | 1 | ?
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.Meera is a girl. How is Meera’s brother’s wife related to Meera? (a) aunt (b) sister (c) cousin (d) sister-in-law
34. 34.19 October is a Monday. What day of the week is 19 November of the same year? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
35. 35.Trees planted in a week: Neel 24, Ira 4, Dev 30, Nisha 37, Omkar 13. How many children have more than 33 trees?
36. 36.Arjun, Aisha and Karan each have a different pet: dog, rabbit or cat. Aisha does not have the rabbit. Karan does not have the cat. Karan does not have the dog. Arjun does not have the cat. Who has the cat? (a) Arjun (b) Aisha (c) Karan
37. 37.Books read in the summer holidays: Ira 12, Yash 10, Ishaan 13, Pooja 17, Rohan 4. How many more books does Ira have than Yash?
38. 38.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
39. 39.Each person always tells the truth or always lies. Zoya says: “Priya and I both tell the truth.” Priya says: “At least one of us two, Zoya or I, is a liar.” Yash says: “Priya tells the truth.” Is Priya a truth-teller or a liar? (a) truth-teller (b) liar
40. 40.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?

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