Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 6 · 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 4:44? (in degrees) =
2. 2.Kabir walks 12 m East, then turns right and walks 5 m. How far is he from the starting point now, in a straight line (in m)?
3. 3.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 4. What comes out after step 2?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 18 + 5 × 2?
5. 5.Karan, Tara and Aditya each have a bag of a different colour: green, white or yellow. Tara’s bag is not green. Karan’s bag is not green. Karan’s bag is not white. What colour is Karan’s bag? (a) green (b) white (c) yellow
6. 6.Rule: If Ananya scores above 90, then Ananya gets a gold star. Fact: Ananya does not get a gold star. What can you say about “Ananya scores above 90”? (a) must be true (b) must be false (c) can't tell
7. 7.Four friends (Ishaan, Myra, Rahul and Zoya) sit in a row. Left and right are as you look at them. Zoya sits at the right end. Rahul sits just to the right of Ishaan. Zoya sits just to the right of Rahul. Who sits at the left end? (a) Ishaan (b) Rahul (c) Myra (d) Zoya
8. 8.Marks in a maths test (out of 50): Omkar 50, Aarav 35, Aditya 25, Priya 26, Kabir 24. Who has the fewest marks? (a) Aarav (b) Omkar (c) Aditya (d) Kabir
9. 9.Three friends (Aisha, Dev and Myra) sit in a row. Left and right are as you look at them. Myra sits at the right end. Aisha sits just to the right of Dev. Who sits in the middle? (a) Dev (b) Myra (c) Aisha
10. 10.Find the missing number. The same rule works in every row or in every column.
    6 | 5 | 30
    3 | 9 | 27
    2 | ? | 18
11. 11.I am a 2-digit number. My digits add up to 10. If you swap my two digits, the new number is 18 more than me. What number am I?
12. 12.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
13. 13.If KITE is written as FUJL, how is TREE written in the same code? (a) USFF (b) EERT (c) DDQS (d) FFSU
14. 14.Is 2038 a leap year? (a) Yes (b) No
15. 15.Priya walks 15 km North, then turns left and walks 8 km. How far is she from the starting point now, in a straight line (in km)?
16. 16.Four friends (Aditya, Ira, Riya and Siddharth) sit in a row. Left and right are as you look at them. Aditya sits just to the right of Siddharth. Riya sits just to the right of Aditya. Ira sits somewhere to the left of Riya. Who sits at the left end? (a) Siddharth (b) Aditya (c) Ira (d) Riya
17. 17.Aisha, Farhan and Aarav each have a bag of a different colour: blue, white or yellow. Aarav’s bag is not blue. Aarav’s bag is not yellow. Aisha’s bag is not yellow. Whose bag is blue? (a) Aisha (b) Farhan (c) Aarav
18. 18.In a group of 45 children, 19 like mangoes, 27 like bananas and 9 like both. How many like at least one of the two?
19. 19.Statements: All pens are bells. No bells are coins. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
20. 20.Nisha is heavier than Diya. Nisha is lighter than Yash. Who is the lightest? (a) Nisha (b) Diya (c) Yash
21. 21.In a group of 39 children, 26 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
22. 22.Which capital letter looks exactly the same in a mirror? (a) K (b) Z (c) G (d) W
23. 23.Siddharth walks 6 m West, then turns right and walks 8 m. How far is he from the starting point now, in a straight line (in m)?
24. 24.I am a 2-digit number. My digits add up to 7 and my tens digit is 1 more than my ones digit. What number am I?
25. 25.A clock shows 5:03. What time does it show in a mirror? (a) 6:57 (b) 5:57 (c) 7:03 (d) 7:57
26. 26.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: 38 83 65 18 76 27. After step 3, what is the 1st number from the left?
27. 27.I am a 2-digit number. My digits add up to 5 and my tens digit is 3 more than my ones digit. What number am I?
28. 28.Steps climbed in a minute: Pooja 54, Isha 88, Arjun 33, Farhan 86, Diya 58. Who has the fewest steps? (a) Arjun (b) Diya (c) Farhan (d) Pooja
29. 29.Today is Saturday. What day of the week will it be 33 days from today? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
30. 30.How many degrees does the minute hand of a clock turn in 22 minutes? =
31. 31.Farhan is heavier than Tara. Farhan is lighter than Ira. Dev is heavier than Ira. Who is the second lightest? (a) Dev (b) Tara (c) Ira (d) Farhan
32. 32.Aarav walks 14 m South, turns right and walks 5 m, then turns right again and walks 2 m. How far is he from the starting point now, in a straight line (in m)?
33. 33.If HAND is written as DNAH, how is NEST written in the same code? (a) SRDM (b) TSEN (c) UTFO (d) OFTU
34. 34.Aisha is heavier than Omkar. Riya is heavier than Aisha. Omkar is heavier than Priya. Who is the lightest? (a) Aisha (b) Riya (c) Priya (d) Omkar
35. 35.Farhan is facing South. He turns right, then turns around (a half turn), then turns left, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
36. 36.Which number is the odd one out: 73, 37, 12, 47? (a) 73 (b) 37 (c) 12 (d) 47
37. 37.Ananya is taller than Saanvi. Aarav is shorter than Priya. Priya is shorter than Saanvi. Who is the second tallest? (a) Aarav (b) Ananya (c) Saanvi (d) Priya
38. 38.If SUN is written as HFM, how is CAKE written in the same code? (a) DBLF (b) WYOU (c) XZPV (d) YAQW
39. 39.Statements: No cups are keys. No keys are boxes. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
40. 40.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell

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