Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 1 · 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.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 13 ÷ 4 + 2?
2. 2.Three friends (Farhan, Karan and Meera) sit in a row. Left and right are as you look at them. Karan does not sit at either end. Meera sits somewhere to the left of Farhan. Who sits at the right end? (a) Farhan (b) Karan (c) Meera
3. 3.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 exactly one painted face?
4. 4.Steps climbed in a minute: Diya 33, Ira 63, Rohan 64, Riya 80, Dev 39. How many children have more than 34 steps?
5. 5.Farhan walks 6 m South, then turns right and walks 8 m. How far is he from the starting point now, in a straight line (in m)?
6. 6.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
7. 7.Statements: All bells are balls. No balls are pens. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 6. What comes out after step 2?
9. 9.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan gets a gold star. What can you say about “Ishaan scores above 90”? (a) must be true (b) must be false (c) can't tell
10. 10.In a group of 49 children, 26 like mangoes, 27 like bananas and 9 like both. How many like at least one of the two?
11. 11.Is 2055 a leap year? (a) Yes (b) No
12. 12.How many degrees does the hour hand of a clock turn in 108 minutes? =
13. 13.A clock shows 5:08. What time does it show in a mirror? (a) 5:52 (b) 7:52 (c) 6:52 (d) 7:08
14. 14.If FISH is written as URHS, how is JUMP written in the same code? (a) PEMJ (b) QFNK (c) KVNQ (d) RGOL
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 14 ÷ 11 − 4?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 8 − 20 ÷ 19?
17. 17.Each person always tells the truth or always lies. Isha says: “At least one of us two, Vivaan or I, is a liar.” Vivaan says: “Isha and I are the same kind.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
18. 18.In a group of 31 grown-ups, 20 drink tea, 9 drink coffee and 2 drink both. How many drink only coffee?
19. 19.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira does not get a gold star. What can you say about “Ira does not score above 90”? (a) must be true (b) must be false (c) can't tell
20. 20.Statements: All caps are bells. No shoes are bells. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
21. 21.Isha walks 12 m South, then turns right and walks 5 m. How far is she from the starting point now, in a straight line (in m)?
22. 22.Find the missing number. The same rule works in every row or in every column.
    19 | 14 | 33
    14 | 2 | ?
    13 | 1 | 14
23. 23.Which number is the odd one out: 29, 44, 11, 13? (a) 29 (b) 44 (c) 11 (d) 13
24. 24.Dev walks 20 m South, turns right and walks 9 m, then turns right again and walks 8 m. How far is he from the starting point now, in a straight line (in m)?
25. 25.A number machine multiplies a number by 2 and then takes away 4. Each output goes back in as the next input. Start with 7. What comes out after step 3?
26. 26.If SHIP is written as TIJQ, how is RAIN written in the same code? (a) SBJO (b) TCKP (c) OJBS (d) QZHM
27. 27.Rohan, Ishaan and Yash each have a bag of a different colour: yellow, blue or red. Rohan’s bag is not blue. Rohan’s bag is not yellow. Yash’s bag is not blue. Whose bag is red? (a) Rohan (b) Ishaan (c) Yash
28. 28.Three friends (Karan, Riya and Sneha) sit in a row. Left and right are as you look at them. Riya sits just to the right of Karan. Karan sits just to the right of Sneha. Who sits in the middle? (a) Sneha (b) Karan (c) Riya
29. 29.Meera is facing West. She turns around (a half turn), then turns around (a half turn). Which direction is she facing now? (a) North (b) East (c) South (d) West
30. 30.Zoya, Omkar and Aarav each have a bag of a different colour: green, red or yellow. Zoya’s bag is not yellow. Aarav’s bag is not red. Zoya’s bag is not green. Omkar’s bag is not yellow. Whose bag is red? (a) Zoya (b) Omkar (c) Aarav
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 12 + 4 ÷ 4?
32. 32.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
33. 33.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev finishes the homework. What can you say about “Dev goes to the park”? (a) must be true (b) must be false (c) can't tell
34. 34.Three friends (Aisha, Ira and Myra) sit in a row. Left and right are as you look at them. Ira sits next to both Myra and Aisha. Ira sits just to the right of Myra. Who sits at the right end? (a) Myra (b) Ira (c) Aisha
35. 35.Vivaan, Priya and Dev each have a different pet: rabbit, tortoise or parrot. Dev does not have the tortoise. Priya does not have the parrot. Dev does not have the rabbit. Priya does not have the rabbit. Which pet does Dev have? (a) rabbit (b) tortoise (c) parrot
36. 36.Five friends (Kabir, Omkar, Rahul, Rohan and Yash) sit in a row. Left and right are as you look at them. Rahul sits somewhere to the left of Rohan. Kabir sits somewhere to the left of Yash. Kabir sits somewhere to the left of Rohan. Kabir sits somewhere to the left of Omkar. Rahul sits somewhere to the left of Yash. Rohan sits at the right end. Omkar sits just to the right of Rahul. Who sits just to the left of Rahul? (a) Kabir (b) Rohan (c) Rahul (d) Omkar
37. 37.Statements: Some books are boxes. All books are bells. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
38. 38.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 3. What comes out after step 3?
39. 39.1 January 2012 is a Sunday. What day of the week is 4 February 2012? (a) Friday (b) Sunday (c) Monday (d) Saturday
40. 40.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha gets a medal. What can you say about “Aisha does not win the match”? (a) must be true (b) must be false (c) can't tell

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