Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 762 · 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.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
2. 2.Myra walks 13 m West, turns right and walks 3 m, then turns right again and walks 9 m. How far is she from the starting point now, in a straight line (in m)?
3. 3.Which capital letter looks exactly the same in a mirror? (a) Y (b) E (c) R (d) D
4. 4.If NEST is written as LCQR, how is PARK written in the same code? (a) MXOH (b) NYPI (c) RCTM (d) OZQJ
5. 5.Four friends (Arjun, Ishaan, Pooja and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits just to the right of Pooja. Pooja sits next to both Arjun and Vivaan. Ishaan sits just to the right of Vivaan. Who sits at the left end? (a) Pooja (b) Ishaan (c) Vivaan (d) Arjun
6. 6.How many degrees does the minute hand of a clock turn in 48 minutes? =
7. 7.Each person always tells the truth or always lies. Rahul says: “Aditya is a liar.” Aditya says: “Rahul and I both tell the truth.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
8. 8.In a group of 45 children, 21 sing Hindi songs, 24 sing English songs and 10 sing both. How many sing exactly one of the two?
9. 9.Each person always tells the truth or always lies. Kabir says: “Omkar is a liar.” Omkar says: “Kabir and I are different kinds.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.1 January 2036 is a Tuesday. What day of the week is 7 December 2036? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
11. 11.Each person always tells the truth or always lies. Isha says: “Aditya tells the truth.” Aarav says: “Aditya and I both tell the truth.” Aditya says: “Aarav is a liar.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
12. 12.Isha runs slower than Karan. Karan runs slower than Ira. Isha runs faster than Aditya. Who runs the slowest? (a) Aditya (b) Isha (c) Ira (d) Karan
13. 13.Which number is the odd one out: 91, 89, 29, 70? (a) 91 (b) 89 (c) 29 (d) 70
14. 14.Priya, Nisha and Dev each play a different game: chess, carrom or badminton. Priya does not play carrom. Priya does not play badminton. Dev does not play badminton. Which game does Dev play? (a) chess (b) carrom (c) badminton
15. 15.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    31 | ? | 19
    10 | 22 | 34
    25 | 28 | 13
16. 16.Find the missing number. The same rule works in every row or in every column.
    6 | 3 | 18
    ? | 9 | 18
    8 | 2 | 16
17. 17.Each person always tells the truth or always lies. Zoya says: “Isha and I both tell the truth.” Isha says: “Zoya is a liar.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar
18. 18.Manav is facing North. He turns left, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
19. 19.Each person always tells the truth or always lies. Rohan says: “Aisha and I are the same kind.” Aisha says: “Tara is a liar.” Tara says: “Rohan and I are different kinds.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
20. 20.Vivaan, Isha and Karan each play a different game: badminton, football or cricket. Vivaan does not play football. Karan does not play badminton. Isha does not play cricket. Isha does not play football. Which game does Vivaan play? (a) badminton (b) football (c) cricket
21. 21.Ishaan is shorter than Rohan. Rohan is shorter than Myra. Who is the shortest? (a) Rohan (b) Myra (c) Ishaan
22. 22.Omkar is facing West. He turns right, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
23. 23.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) W (b) Q (c) K (d) F
24. 24.Siddharth walks 14 m South, turns left and walks 24 m, then turns left again and walks 7 m. How far is he from the starting point now, in a straight line (in m)?
25. 25.Statements: All boxes are cups. All boxes are toys. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
26. 26.Rule: If the shop is open, then Saanvi buys milk. Fact: Saanvi buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
27. 27.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 4. What comes out after step 2?
28. 28.How many degrees does the hour hand of a clock turn in 139 minutes? =
29. 29.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: 45 17 42 82 74 40. After step 2, what is the 1st number from the left?
30. 30.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 3. What comes out after step 3?
31. 31.Dev is shorter than Sneha. Rohan is taller than Isha. Isha is taller than Sneha. Who is the second shortest? (a) Dev (b) Rohan (c) Sneha (d) Isha
32. 32.Each person always tells the truth or always lies. Vivaan says: “Yash and I both tell the truth.” Yash says: “Vivaan is a liar.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
33. 33.Two standard dice show 1 and 3 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
34. 34.Statements: Some bells are caps. No caps are balls. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
35. 35.Kites flown at Makar Sankranti: Dev 5, Meera 7, Farhan 6, Tara 23, Neel 15. What is the total for all five children?
36. 36.Is 2054 a leap year? (a) Yes (b) No
37. 37.If TREE is written as EERT, how is BELL written in the same code? (a) KKDA (b) MMFC (c) CFMM (d) LLEB
38. 38.Rahul is older than Isha. Rohan is older than Rahul. Kavya is older than Rohan. Who is the oldest? (a) Rahul (b) Rohan (c) Kavya (d) Isha
39. 39.Vivaan walks 3 km West, then turns right and walks 4 km. How far is he from the starting point now, in a straight line (in km)?
40. 40.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =

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