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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 954 · 40 questions
TalentJR

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.

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  1. 1.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly one painted face?
  2. 2.Zoya is a girl. How is Zoya’s father’s father’s only son related to Zoya? (a) brother (b) uncle (c) father (d) grandfather
  3. 3.Steps climbed in a minute: Priya 89, Meera 69, Vivaan 81, Arjun 42, Omkar 45. Who has the most steps? (a) Vivaan (b) Priya (c) Omkar (d) Meera
  4. 4.Tara is facing West. She turns right, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
  5. 5.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Q (b) T (c) D (d) W
  6. 6.Find the missing number. The same rule works in every row or in every column.
    7 | 6 | ?
    9 | 6 | 54
    7 | 3 | 21
  7. 7.Ira is lighter than Myra. Myra is lighter than Riya. Who is the heaviest? (a) Ira (b) Myra (c) Riya
  8. 8.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have exactly three painted faces?
  9. 9.Is 1900 a leap year? (a) Yes (b) No
  10. 10.Isha is shorter than Saanvi. Dev is taller than Saanvi. Isha is taller than Karan. Who is the tallest? (a) Isha (b) Karan (c) Saanvi (d) Dev
  11. 11.In a group of 46 children, 19 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  12. 12.If FROG is written as IQTH, how is HAND written in the same code? (a) BLYF (b) DNAH (c) FPCJ (d) JCPF
  13. 13.Which number is the odd one out: 96, 19, 3, 97? (a) 96 (b) 19 (c) 3 (d) 97
  14. 14.Four friends (Aditya, Neel, Tara and Zoya) sit in a row. Left and right are as you look at them. Tara sits next to both Neel and Aditya. Aditya sits just to the right of Tara. Aditya does not sit at either end. Who sits at the right end? (a) Zoya (b) Neel (c) Aditya (d) Tara
  15. 15.In a group of 34 children, 17 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  16. 16.Find the missing number. The same rule works in every row or in every column.
    12 | 1 | 10
    9 | 4 | 6
    ? | 5 | 16
  17. 17.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  18. 18.Isha is a girl. How is Isha’s brother’s daughter related to Isha? (a) sister (b) niece (c) cousin (d) daughter
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  20. 20.Statements: All pens are bells. No coins are pens. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Which capital letter does NOT look the same in a mirror? (a) X (b) J (c) W (d) U
  22. 22.Each person always tells the truth or always lies. Ira says: “At least one of us two, Dev or I, is a liar.” Dev says: “Ira and I are the same kind.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
  23. 23.The sum of three consecutive numbers is 51. What is the largest of them?
  24. 24.Each person always tells the truth or always lies. Meera says: “Riya and I are the same kind.” Riya says: “Meera and I are the same kind.” Is Meera a truth-teller or a liar? (a) truth-teller (b) liar
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 20 ÷ 8 + 2?
  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: 58 12 13 78 90 25. After step 4, what is the 1st number from the left?
  27. 27.Yash, Neel and Ananya each have a bag of a different colour: blue, yellow or red. Yash’s bag is not blue. Neel’s bag is not yellow. Ananya’s bag is not blue. Ananya’s bag is not yellow. Whose bag is blue? (a) Yash (b) Neel (c) Ananya
  28. 28.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have exactly one painted face?
  29. 29.Arjun is taller than Farhan. Aarav is taller than Arjun. Riya is taller than Aarav. Who is the second tallest? (a) Arjun (b) Farhan (c) Riya (d) Aarav
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 9 × 3 − 6?
  31. 31.Each person always tells the truth or always lies. Arjun says: “Diya and I both tell the truth.” Diya says: “At least one of us two, Arjun or I, is a liar.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar
  32. 32.If PARK is written as SDUN, how is LION written in the same code? (a) OLRQ (b) PMSR (c) IFLK (d) NKQP
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 20 ÷ 10 × 16?
  34. 34.If WIND is written as DRMW, how is JUMP written in the same code? (a) PEMJ (b) KVNQ (c) QFNK (d) RGOL
  35. 35.Statements: No caps are shoes. Some caps are boxes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) J (b) R (c) H (d) Z
  37. 37.Rahul walks 5 m West, then turns left and walks 12 m. How far is he from the starting point now, in a straight line (in m)?
  38. 38.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  39. 39.Find the missing number. The same rule works in every row or in every column.
    ? | 3 | 16
    14 | 4 | 18
    11 | 6 | 17
  40. 40.Aarav is a boy. How is Aarav’s mother’s mother related to Aarav? (a) sister (b) aunt (c) grandmother (d) mother

Answer key

  1. 24
  2. father
  3. Priya
  4. West
  5. D
  6. 42
  7. Riya
  8. 8
  9. No
  10. Dev
  11. 36
  12. FPCJ
  13. 96
  14. Zoya
  15. 33
  16. 21
  17. must be false
  18. niece
  19. 128
  20. No
  21. J
  22. truth-teller
  23. 18
  24. truth-teller
  25. 172
  26. 12
  27. Neel
  28. 24
  29. Aarav
  30. 18
  31. truth-teller
  32. OLRQ
  33. 166
  34. QFNK
  35. No
  36. H
  37. 13
  38. can't tell
  39. 13
  40. grandmother

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