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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 972 · 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.

NameDateTime takenScore ___ / 40
  1. 1.In a group of 23 grown-ups, 10 drink tea, 16 drink coffee and 7 drink both. How many drink exactly one of the two?
  2. 2.Runs scored in a cricket match: Ira 35, Isha 59, Kavya 14, Myra 23, Farhan 10. How many more runs does Ira have than Farhan?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 16 ÷ 20 × 3?
  4. 4.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira gets a medal. What can you say about “Ira does not win the match”? (a) must be true (b) must be false (c) can't tell
  5. 5.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?
  6. 6.Which number is the odd one out: 59, 23, 92, 17? (a) 59 (b) 23 (c) 92 (d) 17
  7. 7.Trees planted in a week: Rohan 7, Sneha 14, Meera 22, Ananya 10, Kavya 15. Who has the fewest trees? (a) Meera (b) Sneha (c) Rohan (d) Kavya
  8. 8.A wooden cube is painted on all six faces, then each edge is cut into 5 equal parts, making small cubes. How many small cubes have exactly three painted faces?
  9. 9.If DOG is written as WLT, how is BALL written in the same code? (a) ZAPP (b) YZOO (c) XYNN (d) CBMM
  10. 10.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have no painted face?
  11. 11.Myra, Kabir and Diya each have a bag of a different colour: blue, red or green. Myra’s bag is not green. Myra’s bag is not red. Diya’s bag is not green. What colour is Kabir’s bag? (a) blue (b) red (c) green
  12. 12.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
  13. 13.Vivaan is a boy. How is Vivaan’s sister’s daughter related to Vivaan? (a) niece (b) aunt (c) daughter (d) sister
  14. 14.Each person always tells the truth or always lies. Kabir says: “Sneha and I are the same kind.” Sneha says: “Kabir and I both tell the truth.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
  15. 15.Find the missing number. The same rule works in every row or in every column.
    2 | 15 | ?
    1 | 3 | 4
    20 | 12 | 32
  16. 16.Statements: No books are rings. No rings are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.9 May is a Saturday. What day of the week is 9 June of the same year? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
  18. 18.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  19. 19.Is 2040 a leap year? (a) Yes (b) No
  20. 20.Each person always tells the truth or always lies. Kabir says: “Nisha and I are the same kind.” Nisha says: “Kabir and I are different kinds.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
  21. 21.Find the missing number. The same rule works in every row or in every column.
    9 | 5 | 45
    8 | 6 | 48
    ? | 5 | 35
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 5 − 16 ÷ 4?
  23. 23.Vivaan runs slower than Diya. Diya runs slower than Rohan. Who runs the slowest? (a) Vivaan (b) Rohan (c) Diya
  24. 24.Kavya is a girl. How is Kavya’s brother’s daughter related to Kavya? (a) daughter (b) cousin (c) niece (d) sister
  25. 25.Find the missing number. The same rule works in every row or in every column.
    27 | 1 | 1
    27 | 1 | 1
    19 | ? | 1
  26. 26.Statements: No keys are kites. No cups are kites. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.If LAMP is written as PMAL, how is SUN written in the same code? (a) MTR (b) TVO (c) OVT (d) NUS
  28. 28.Each person always tells the truth or always lies. Dev says: “Farhan is a liar.” Farhan says: “Dev and I are the same kind.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
  29. 29.Find the missing number. The same rule works in every row or in every column.
    2 | 9 | 20
    ? | 9 | 16
    11 | 18 | 36
  30. 30.Pooja walks 12 km East, then turns right and walks 5 km. How far is she from the starting point now, in a straight line (in km)?
  31. 31.If DOG is written as IQF, how is KITE written in the same code? (a) GVKM (b) MKVG (c) ETIK (d) CRGI
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 2 ÷ 15 + 9?
  33. 33.Find the missing number. The same rule works in every row or in every column.
    2 | ? | 8
    3 | 2 | 6
    9 | 2 | 18
  34. 34.Ananya is a girl. How is Ananya’s daughter’s husband related to Ananya? (a) son-in-law (b) nephew (c) son (d) brother-in-law
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 11 × 8 − 2?
  36. 36.Today is Saturday. What day of the week will it be 41 days from today? (a) Thursday (b) Saturday (c) Sunday (d) Friday
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 18 ÷ 12 − 4?
  38. 38.Omkar is heavier than Aditya. Omkar is lighter than Sneha. Who is the heaviest? (a) Sneha (b) Aditya (c) Omkar
  39. 39.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: 12 95 17 33 15 71. After step 3, what is the 4th number from the left?
  40. 40.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel does not score above 90. What can you say about “Neel gets a gold star”? (a) must be true (b) must be false (c) can't tell

Answer key

  1. 12
  2. 25
  3. 257
  4. can't tell
  5. 78
  6. 92
  7. Rohan
  8. 8
  9. YZOO
  10. 8
  11. green
  12. can't tell
  13. niece
  14. truth-teller
  15. 17
  16. No
  17. Tuesday
  18. must be false
  19. Yes
  20. liar
  21. 7
  22. 52
  23. Vivaan
  24. niece
  25. 9
  26. No
  27. NUS
  28. truth-teller
  29. 9
  30. 13
  31. GVKM
  32. 28
  33. 4
  34. son-in-law
  35. 18
  36. Friday
  37. 231
  38. Sneha
  39. 95
  40. can't tell

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