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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 763 · 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 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: 49 23 83 80 28 65. After step 2, what is the 2nd number from the left?
  2. 2.Statements: No boxes are bells. All toys are bells. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun finishes the homework. What can you say about “Arjun does not go to the park”? (a) must be true (b) must be false (c) can't tell
  4. 4.In a group of 33 children, 20 enjoy drawing, 15 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 2 − 15 × 16?
  6. 6.Vivaan walks 19 m West, then turns around and walks 14 m. How far is he from the starting point now (in m)?
  7. 7.Zoya walks 19 m South, then turns around and walks 6 m. How far is she from the starting point now (in m)?
  8. 8.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
  9. 9.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 two painted faces?
  10. 10.The sum of three consecutive even numbers is 162. What is the largest of them?
  11. 11.I am a 2-digit number. My digits add up to 15. If you swap my two digits, the new number is 9 more than me. What number am I?
  12. 12.Farhan is younger than Saanvi. Saanvi is younger than Aarav. Who is the second youngest? (a) Saanvi (b) Farhan (c) Aarav
  13. 13.Statements: Some bags are pens. Some bags are cups. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.I am a 2-digit number. My digits add up to 3 and my tens digit is 1 more than my ones digit. What number am I?
  15. 15.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 no painted face?
  16. 16.Find the missing number. The same rule works in every row or in every column.
    ? | 6 | 14
    16 | 6 | 9
    29 | 12 | 23
  17. 17.Omkar is a boy. How is Omkar’s father’s father’s only son related to Omkar? (a) brother (b) uncle (c) grandfather (d) father
  18. 18.Is 1900 a leap year? (a) Yes (b) No
  19. 19.Each person always tells the truth or always lies. Tara says: “Riya and I are different kinds.” Riya says: “Tara and I are the same kind.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
  20. 20.Today is Sunday. What day of the week will it be 8 days from today? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
  21. 21.Meera is a girl. How is Meera’s mother’s brother’s son related to Meera? (a) cousin (b) brother (c) nephew (d) uncle
  22. 22.Statements: No books are kites. No books are boxes. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Four friends (Arjun, Pooja, Rohan and Yash) sit in a row. Left and right are as you look at them. Arjun sits next to both Pooja and Rohan. Yash sits at the right end. Pooja sits somewhere to the left of Rohan. Who sits at the left end? (a) Yash (b) Pooja (c) Rohan (d) Arjun
  24. 24.Riya is a girl. How is Riya’s father’s father’s only son related to Riya? (a) uncle (b) brother (c) grandfather (d) father
  25. 25.Vivaan is shorter than Manav. Kabir is shorter than Diya. Diya is shorter than Vivaan. Who is the shortest? (a) Diya (b) Vivaan (c) Manav (d) Kabir
  26. 26.Which number is the odd one out: 71, 67, 94, 43? (a) 71 (b) 67 (c) 94 (d) 43
  27. 27.If TOYS is written as GLBH, how is FISH written in the same code? (a) GJTI (b) VSIT (c) TQGR (d) URHS
  28. 28.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: 15 39 76 83 70 94. After step 2, what is the 2nd number from the left?
  29. 29.In a group of 37 children, 23 like mangoes, 24 like bananas and 12 like both. How many like at least one of the two?
  30. 30.1 January 2036 is a Tuesday. What day of the week is 12 May 2036? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
  31. 31.Two standard dice show 2 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
  32. 32.Three friends (Diya, Karan and Saanvi) sit in a row. Left and right are as you look at them. Saanvi does not sit at either end. Saanvi sits just to the right of Karan. Who sits just to the left of Diya? (a) Diya (b) Karan (c) Saanvi
  33. 33.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 8. What comes out after step 3?
  34. 34.How many degrees does the hour hand of a clock turn in 61 minutes? =
  35. 35.Riya runs slower than Meera. Riya runs faster than Isha. Who runs the slowest? (a) Isha (b) Meera (c) Riya
  36. 36.Find the missing number. The same rule works in every row or in every column.
    6 | ? | 30
    8 | 8 | 64
    7 | 3 | 21
  37. 37.If BOOK is written as YLLP, how is DRUM written in the same code? (a) VHEM (b) XJGO (c) WIFN (d) ESVN
  38. 38.Find the missing number. The same rule works in every row or in every column.
    3 | 8 | 24
    ? | 4 | 36
    5 | 7 | 35
  39. 39.Which number is the odd one out: 48, 24, 38, 44? (a) 48 (b) 24 (c) 38 (d) 44
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 12 × 18 + 12?

Answer key

  1. 28
  2. No
  3. must be false
  4. 13
  5. 21
  6. 5
  7. 13
  8. 4
  9. 48
  10. 56
  11. 78
  12. Saanvi
  13. No
  14. 21
  15. 1
  16. 13
  17. father
  18. No
  19. liar
  20. Monday
  21. cousin
  22. No
  23. Pooja
  24. father
  25. Kabir
  26. 94
  27. URHS
  28. 39
  29. 35
  30. Monday
  31. 11
  32. Saanvi
  33. 177
  34. 30.5
  35. Isha
  36. 5
  37. WIFN
  38. 9
  39. 38
  40. 211

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