Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 128 · 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.Each person always tells the truth or always lies. Myra says: “Rahul and I are the same kind.” Rahul says: “Myra tells the truth.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
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: 65 70 77 32 62 29. After step 2, what is the 3rd number from the left?
3. 3.Siddharth is a boy. How is Siddharth’s mother’s brother related to Siddharth? (a) uncle (b) cousin (c) grandfather (d) brother
4. 4.Karan walks 12 km West, then turns right and walks 9 km. How far is he from the starting point now, in a straight line (in km)?
5. 5.Find the missing number. The same rule works in every row or in every column.
   ? | 4 | 4
   20 | 1 | 7
   26 | 5 | 11
6. 6.Karan is taller than Myra. Karan is shorter than Nisha. Myra is taller than Rahul. Who is the second shortest? (a) Rahul (b) Karan (c) Nisha (d) Myra
7. 7.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have at least one painted face?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 11 − 10 × 15?
9. 9.A clock shows 5:21. What time will it show 25 minutes later? (a) 5:36 (b) 6:46 (c) 5:56 (d) 5:46
10. 10.Find the missing number. The same rule works in every row or in every column.
    ? | 8 | 17
    6 | 10 | 16
    4 | 20 | 24
11. 11.If BELL is written as YVOO, how is KITE written in the same code? (a) PRGV (b) QSHW (c) LJUF (d) OQFU
12. 12.In a group of 43 children, 23 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
13. 13.Find the missing number. The same rule works in every row or in every column.
    7 | 16 | 1
    22 | ? | 1
    12 | 3 | 9
14. 14.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Y (b) F (c) Z (d) X
15. 15.Rohan, Manav and Vivaan each have a different pet: cat, tortoise or rabbit. Vivaan does not have the cat. Rohan does not have the tortoise. Rohan does not have the cat. Who has the rabbit? (a) Rohan (b) Manav (c) Vivaan
16. 16.Is 1600 a leap year? (a) Yes (b) No
17. 17.Aarav is a boy. How is Aarav’s mother’s brother’s son related to Aarav? (a) nephew (b) brother (c) uncle (d) cousin
18. 18.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
19. 19.Find the missing number. The same rule works in every row or in every column.
    6 | 2 | 19
    15 | 5 | 7
    15 | ? | 4
20. 20.In a group of 43 children, 14 play chess, 31 play carrom and 11 play both. How many play only carrom?
21. 21.Riya is younger than Meera. Riya is older than Kavya. Who is the youngest? (a) Riya (b) Kavya (c) Meera
22. 22.A clock shows 12:43. What time does it show in a mirror? (a) 10:17 (b) 12:43 (c) 12:17 (d) 11:17
23. 23.Runs scored in a cricket match: Tara 5, Farhan 29, Isha 39, Arjun 45, Pooja 59. How many more runs does Arjun have than Isha?
24. 24.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have at least one painted face?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 3 + 6 − 9?
26. 26.Today is Tuesday. What day of the week will it be 46 days from today? (a) Saturday (b) Monday (c) Sunday (d) Friday
27. 27.Statements: All rings are pens. Some bags are pens. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
28. 28.1 January 2031 is a Wednesday. What day of the week is 9 December 2031? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
29. 29.Priya is a girl. How is Priya’s brother’s son related to Priya? (a) son (b) brother (c) cousin (d) nephew
30. 30.Which number is the odd one out: 37, 2, 97, 4? (a) 37 (b) 2 (c) 97 (d) 4
31. 31.Statements: No balls are caps. All kites are balls. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
32. 32.If RAIN is written as UDLQ, how is FISH written in the same code? (a) CFPE (b) HKUJ (c) ILVK (d) JMWL
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 7 ÷ 20 + 6?
34. 34.1 January 2004 is a Thursday. What day of the week is 3 October 2004? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
35. 35.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) L (b) R (c) Z (d) K
36. 36.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 10 − 14 + 11?
38. 38.Steps climbed in a minute: Kabir 70, Siddharth 20, Priya 63, Isha 42, Neel 43. What is the total for all five children?
39. 39.Aisha is a girl. How is Aisha’s mother’s mother related to Aisha? (a) sister (b) aunt (c) grandmother (d) mother
40. 40.Each person always tells the truth or always lies. Diya says: “Rahul is a liar.” Rahul says: “Diya and I are the same kind.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar

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