Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 198 · 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 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: 71 77 79 91 67 49. After step 4, what is the 5th number from the left?
2. 2.In a group of 44 children, 27 play chess, 27 play carrom and 12 play both. How many play neither of the two?
3. 3.In a group of 28 grown-ups, 16 drink tea, 13 drink coffee and 10 drink both. How many drink neither of the two?
4. 4.If NEST is written as TSEN, how is TREE written in the same code? (a) FFSU (b) EERT (c) USFF (d) DDQS
5. 5.If BOAT is written as UBPC, how is PEN written in the same code? (a) QFO (b) MDO (c) OFQ (d) NEP
6. 6.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   8 | 13 | ?
   15 | 11 | 7
   10 | 9 | 14
7. 7.Statements: Some bags are caps. Some caps are kites. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.A clock shows 5:54. What time will it show 165 minutes later? (a) 8:49 (b) 9:39 (c) 8:39 (d) 8:29
9. 9.Find the missing number. The same rule works in every row or in every column.
   6 | 7 | 42
   4 | 9 | 36
   6 | 6 | ?
10. 10.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?
11. 11.Trees planted in a week: Yash 12, Aarav 23, Pooja 6, Arjun 20, Myra 14. What is the difference between the highest and the lowest?
12. 12.Rule: If the shop is open, then Karan buys milk. Fact: Karan buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
13. 13.In a group of 48 children, 21 play chess, 26 play carrom and 12 play both. How many play only chess?
14. 14.Each person always tells the truth or always lies. Sneha says: “Dev tells the truth.” Dev says: “Sneha and I both tell the truth.” Ira says: “At least one of us two, Dev or I, is a liar.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
15. 15.If NEST is written as QHVW, how is CAKE written in the same code? (a) ZXHB (b) FDNH (c) GEOI (d) ECMG
16. 16.Yash is a boy. How is Yash’s mother’s only daughter related to Yash? (a) aunt (b) mother (c) niece (d) sister
17. 17.How many degrees does the minute hand of a clock turn in 4 minutes? =
18. 18.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
19. 19.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) X (b) V (c) W (d) Q
20. 20.In a group of 30 children, 15 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
21. 21.I am a 2-digit number. My digits add up to 13. If you swap my two digits, the new number is 9 more than me. What number am I?
22. 22.Karan runs slower than Omkar. Karan runs faster than Sneha. Who runs the slowest? (a) Omkar (b) Sneha (c) Karan
23. 23.Which number is the odd one out: 87, 41, 97, 13? (a) 87 (b) 41 (c) 97 (d) 13
24. 24.Find the missing number. The same rule works in every row or in every column.
    18 | 1 | 19
    19 | 5 | 24
    17 | ? | 32
25. 25.Which capital letter looks exactly the same in a mirror? (a) V (b) J (c) R (d) Z
26. 26.Each person always tells the truth or always lies. Aarav says: “At least one of us two, Saanvi or I, is a liar.” Saanvi says: “Ishaan and I are the same kind.” Ishaan says: “At least one of us two, Saanvi or I, is a liar.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.Find the missing number. The same rule works in every row or in every column.
    19 | 15 | 34
    4 | 6 | 10
    6 | ? | 10
28. 28.Diya, Kavya and Isha each have a bag of a different colour: green, blue or white. Diya’s bag is not white. Isha’s bag is not green. Isha’s bag is not white. What colour is Diya’s bag? (a) green (b) blue (c) white
29. 29.Isha is lighter than Ananya. Vivaan is heavier than Ananya. Who is the second lightest? (a) Ananya (b) Vivaan (c) Isha
30. 30.In a group of 24 children, 9 sing Hindi songs, 17 sing English songs and 5 sing both. How many sing neither of the two?
31. 31.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 2. What comes out after step 2?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 5 ÷ 15 × 2?
33. 33.Runs scored in a cricket match: Ishaan 47, Neel 14, Aarav 31, Dev 42, Sneha 11. What is the total for all five children?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 13 ÷ 4 − 4?
35. 35.Siddharth is shorter than Arjun. Rohan is taller than Arjun. Siddharth is taller than Priya. Who is the second shortest? (a) Arjun (b) Siddharth (c) Rohan (d) Priya
36. 36.Yash is facing South. He 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
37. 37.Ira runs slower than Meera. Saanvi runs faster than Meera. Nisha runs faster than Saanvi. Who runs the second fastest? (a) Saanvi (b) Nisha (c) Ira (d) Meera
38. 38.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan does not get a medal. What can you say about “Rohan wins the match”? (a) must be true (b) must be false (c) can't tell
39. 39.Which number is the odd one out: 48, 66, 96, 61? (a) 48 (b) 66 (c) 96 (d) 61
40. 40.Statements: No boxes are books. All boxes are coins. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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