Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 928 · 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.Rule: If the shop is open, then Saanvi buys milk. Fact: The shop is open. What can you say about “Saanvi does not buy milk”? (a) must be true (b) must be false (c) can't tell
2. 2.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: 13 68 57 81 89 12. After step 2, what is the 2nd number from the left?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 8 − 12 × 9?
4. 4.If BOAT is written as ZMYR, how is GOLD written in the same code? (a) DLIA (b) EMJB (c) FNKC (d) IQNF
5. 5.Each person always tells the truth or always lies. Meera says: “Saanvi and I are the same kind.” Saanvi says: “Meera tells the truth.” Is Saanvi a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.Arjun is a boy. How is Arjun’s father’s father’s only son related to Arjun? (a) grandfather (b) uncle (c) brother (d) father
7. 7.In a group of 43 children, 17 like mangoes, 18 like bananas and 6 like both. How many like only mangoes?
8. 8.1 January 2017 is a Sunday. What day of the week is 9 April 2017? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
9. 9.I am a 2-digit number. My digits add up to 9. If you swap my two digits, the new number is 45 more than me. What number am I?
10. 10.If RAIN is written as QZHM, how is SHIP written in the same code? (a) QFGN (b) SHIP (c) RGHO (d) TIJQ
11. 11.Marks in a maths test (out of 50): Isha 50, Saanvi 44, Aarav 49, Dev 47, Siddharth 37. How many children have more than 47 marks?
12. 12.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: 31 56 34 65 12 80. After step 2, what is the 2nd number from the left?
13. 13.Aarav walks 3 m North, then turns right and walks 13 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
14. 14.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?
15. 15.Kabir is younger than Aisha. Aisha is younger than Meera. Kabir is older than Ishaan. Who is the second oldest? (a) Ishaan (b) Meera (c) Kabir (d) Aisha
16. 16.Find the missing number. The same rule works in every row or in every column.
    6 | 11 | 17
    ? | 1 | 8
    16 | 20 | 36
17. 17.Runs scored in a cricket match: Ira 44, Diya 17, Dev 42, Arjun 25, Aarav 19. What is the difference between the highest and the lowest?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 2 ÷ 4 + 12?
19. 19.Kites flown at Makar Sankranti: Saanvi 20, Neel 6, Siddharth 8, Yash 14, Vivaan 19. How many children have more than 14 kites?
20. 20.Find the missing number. The same rule works in every row or in every column.
    5 | 5 | 25
    5 | 7 | ?
    5 | 3 | 15
21. 21.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: 10 48 75 23 27 65. After step 4, what is the 1st number from the left?
22. 22.In a group of 35 children, 19 play cricket, 11 play football and 4 play both. How many play only cricket?
23. 23.In a group of 41 children, 20 play chess, 24 play carrom and 6 play both. How many play only carrom?
24. 24.Each person always tells the truth or always lies. Riya says: “Isha and I are different kinds.” Isha says: “Riya is a liar.” Karan says: “Riya tells the truth.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
25. 25.If FISH is written as URHS, how is TOYS written in the same code? (a) GLBH (b) FKAG (c) UPZT (d) HMCI
26. 26.In a group of 57 children, 25 sing Hindi songs, 31 sing English songs and 12 sing both. How many sing at least one of the two?
27. 27.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: 55 22 90 42 24 40. After step 4, what is the 5th number from the left?
28. 28.Yash is a boy. How is Yash’s father’s sister’s husband related to Yash? (a) father (b) brother-in-law (c) uncle (d) grandfather
29. 29.In a group of 57 grown-ups, 24 drink tea, 23 drink coffee and 5 drink both. How many drink exactly one of the two?
30. 30.Marks in a maths test (out of 50): Zoya 30, Saanvi 43, Riya 23, Yash 38, Ishaan 29. How many more marks does Saanvi have than Zoya?
31. 31.Aisha, Yash and Ira each have a bag of a different colour: white, yellow or green. Aisha’s bag is not white. Yash’s bag is not green. Ira’s bag is not white. Aisha’s bag is not yellow. Whose bag is green? (a) Aisha (b) Yash (c) Ira
32. 32.Today is Monday. What day of the week will it be 42 days from today? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
33. 33.In a group of 41 children, 18 play chess, 18 play carrom and 7 play both. How many play exactly one of the two?
34. 34.Which capital letter looks exactly the same in a mirror? (a) D (b) R (c) C (d) X
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 5 + 6 − 19?
36. 36.Yash, Myra and Aarav each play a different game: cricket, chess or carrom. Aarav does not play chess. Myra does not play carrom. Myra does not play chess. Which game does Aarav play? (a) cricket (b) chess (c) carrom
37. 37.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
38. 38.Find the missing number. The same rule works in every row or in every column.
    3 | 12 | 5
    4 | ? | 12
    9 | 10 | 1
39. 39.Statements: All bags are caps. No caps are rings. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
40. 40.Riya runs faster than Aditya. Diya runs faster than Riya. Farhan runs faster than Diya. Who runs the fastest? (a) Aditya (b) Farhan (c) Riya (d) Diya

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