Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 276 · 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.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   31 | 10 | ?
   16 | 22 | 28
   19 | 34 | 13
2. 2.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: 16 97 93 64 73 45. After step 2, what is the 6th number from the left?
3. 3.If BOAT is written as UBPC, how is FROG written in the same code? (a) GSPH (b) HPSG (c) FNQE (d) GORF
4. 4.Farhan is heavier than Rohan. Farhan is lighter than Vivaan. Who is the lightest? (a) Vivaan (b) Farhan (c) Rohan
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 14 − 7 ÷ 16?
6. 6.Which number is the odd one out: 79, 5, 11, 25? (a) 79 (b) 5 (c) 11 (d) 25
7. 7.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) D (b) P (c) W (d) Q
8. 8.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   10 | 17 | 12
   ? | 13 | 11
   14 | 9 | 16
9. 9.Each person always tells the truth or always lies. Pooja says: “Ananya and I are the same kind.” Ananya says: “Pooja tells the truth.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
11. 11.Ishaan walks 24 m South, turns left and walks 8 m, then turns left again and walks 9 m. How far is he from the starting point now, in a straight line (in m)?
12. 12.Dev is a boy. How is Dev’s mother’s only daughter related to Dev? (a) mother (b) niece (c) aunt (d) sister
13. 13.Pooja is lighter than Yash. Vivaan is heavier than Yash. Who is the second heaviest? (a) Pooja (b) Yash (c) Vivaan
14. 14.Which capital letter looks exactly the same in a mirror? (a) Z (b) W (c) K (d) G
15. 15.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) G (b) Y (c) K (d) A
16. 16.Five friends (Arjun, Kavya, Riya, Sneha and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits somewhere to the left of Sneha. Arjun sits next to both Riya and Kavya. Riya sits next to both Vivaan and Arjun. Kavya sits next to both Arjun and Sneha. Who sits at the right end? (a) Arjun (b) Riya (c) Vivaan (d) Sneha
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 5 ÷ 4 + 4?
18. 18.Statements: No coins are balls. Some keys are balls. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
19. 19.Diya is taller than Aarav. Neel is shorter than Ira. Neel is taller than Diya. Who is the shortest? (a) Diya (b) Ira (c) Aarav (d) Neel
20. 20.A clock shows 11:12. What time will it show 36 minutes later? (a) 11:48 (b) 11:38 (c) 11:58 (d) 12:48
21. 21.Which number is the odd one out: 19, 50, 79, 31? (a) 19 (b) 50 (c) 79 (d) 31
22. 22.Statements: Some balls are kites. All balls are pens. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
23. 23.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya finishes the homework. What can you say about “Zoya goes to the park”? (a) must be true (b) must be false (c) can't tell
24. 24.If GOLD is written as HPME, how is CAT written in the same code? (a) UBD (b) BZS (c) DBU (d) ECV
25. 25.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
26. 26.Two standard dice show 1 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
27. 27.Each person always tells the truth or always lies. Rohan says: “Siddharth tells the truth.” Siddharth says: “Rohan and I are the same kind.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 8 × 3 ÷ 5?
29. 29.Yash is older than Aditya. Farhan is older than Yash. Ira is older than Farhan. Who is the second oldest? (a) Yash (b) Aditya (c) Ira (d) Farhan
30. 30.Diya runs slower than Yash. Yash runs slower than Nisha. Who runs the fastest? (a) Diya (b) Nisha (c) Yash
31. 31.1 January 2023 is a Sunday. What day of the week is 22 September 2023? (a) Sunday (b) Saturday (c) Thursday (d) Friday
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 17 × 18 + 3?
33. 33.In a group of 37 grown-ups, 25 drink tea, 16 drink coffee and 7 drink both. How many drink exactly one of the two?
34. 34.I am a 2-digit number. My digits add up to 3 and my tens digit is 1 more than my ones digit. What number am I?
35. 35.Which capital letter does NOT look the same in a mirror? (a) K (b) M (c) W (d) V
36. 36.Statements: All bags are kites. Some pens are bags. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
37. 37.Omkar is a boy. How is Omkar’s mother’s mother related to Omkar? (a) sister (b) aunt (c) mother (d) grandmother
38. 38.Marks in a maths test (out of 50): Ananya 21, Nisha 25, Siddharth 43, Kavya 27, Manav 19. What is the difference between the highest and the lowest?
39. 39.In a group of 27 children, 23 sing Hindi songs, 6 sing English songs and 3 sing both. How many sing exactly one of the two?
40. 40.A clock shows 3:35. What time does it show in a mirror? (a) 7:25 (b) 9:35 (c) 9:25 (d) 8:25

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