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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 801 · 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.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have at least one painted face?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 10 ÷ 7 − 19?
  3. 3.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?
  4. 4.Each person always tells the truth or always lies. Riya says: “At least one of us two, Kavya or I, is a liar.” Kavya says: “Riya and I are the same kind.” Is Kavya a truth-teller or a liar? (a) truth-teller (b) liar
  5. 5.Aarav runs slower than Arjun. Yash runs slower than Aarav. Who runs the second slowest? (a) Arjun (b) Aarav (c) Yash
  6. 6.Which capital letter looks exactly the same in a mirror? (a) K (b) S (c) M (d) E
  7. 7.How many degrees does the minute hand of a clock turn in 11 minutes? =
  8. 8.I am a 2-digit number. My digits add up to 4 and my tens digit is 2 more than my ones digit. What number am I?
  9. 9.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya finishes the homework. What can you say about “Priya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  10. 10.Each person always tells the truth or always lies. Zoya says: “Sneha and I are different kinds.” Sneha says: “Zoya tells the truth.” Is Sneha a truth-teller or a liar? (a) truth-teller (b) liar
  11. 11.Ananya walks 13 m West, then turns around and walks 2 m. How far is she from the starting point now (in m)?
  12. 12.If CAT is written as XZG, how is KITE written in the same code? (a) OQFU (b) QSHW (c) LJUF (d) PRGV
  13. 13.If BOAT is written as YLZG, how is CAT written in the same code? (a) XZG (b) YAH (c) WYF (d) DBU
  14. 14.Rule: If the shop is open, then Kavya buys milk. Fact: The shop is open. What can you say about “Kavya buys milk”? (a) must be true (b) must be false (c) can't tell
  15. 15.Find the missing number. The same rule works in every row or in every column.
    5 | 8 | 40
    6 | 8 | ?
    7 | 9 | 63
  16. 16.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 8. What comes out after step 2?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 13 × 11 + 5?
  18. 18.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 98 68 17 27 92 82. After step 4, what is the 3rd number from the left?
  19. 19.Rule: If the shop is open, then Karan buys milk. Fact: Karan buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  20. 20.If TREE is written as FFSU, how is HAND written in the same code? (a) IBOE (b) EOBI (c) CMZG (d) DNAH
  21. 21.Which number is the odd one out: 67, 78, 79, 61? (a) 67 (b) 78 (c) 79 (d) 61
  22. 22.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    26 | 29 | 14
    11 | 23 | 35
    ? | 17 | 20
  23. 23.Two standard dice show 4 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
  24. 24.How many degrees does the hour hand of a clock turn in 70 minutes? =
  25. 25.Meera, Siddharth and Aisha each have a bag of a different colour: green, blue or red. Aisha’s bag is not red. Siddharth’s bag is not blue. Siddharth’s bag is not green. Meera’s bag is not green. What colour is Aisha’s bag? (a) green (b) blue (c) red
  26. 26.Rohan is a boy. How is Rohan’s son’s son related to Rohan? (a) nephew (b) brother (c) grandson (d) son
  27. 27.The sum of three consecutive numbers is 129. What is the smallest of them?
  28. 28.Find the missing number. The same rule works in every row or in every column.
    ? | 10 | 2
    9 | 2 | 2
    2 | 1 | 10
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 10 ÷ 8 + 20?
  30. 30.Each person always tells the truth or always lies. Aditya says: “Tara and I are the same kind.” Tara says: “Aditya and I both tell the truth.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
  31. 31.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: 95 14 11 54 17 21. After step 3, what is the 2nd number from the left?
  32. 32.Statements: No kites are balls. All bells are balls. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.If DESK is written as WVHP, how is BOAT written in the same code? (a) CPBU (b) YLZG (c) ZMAH (d) XKYF
  34. 34.1 January 2005 is a Saturday. What day of the week is 25 February 2005? (a) Friday (b) Saturday (c) Sunday (d) Thursday
  35. 35.Saanvi, Neel and Rohan each have a bag of a different colour: blue, white or red. Neel’s bag is not blue. Rohan’s bag is not white. Saanvi’s bag is not blue. Neel’s bag is not white. What colour is Saanvi’s bag? (a) blue (b) white (c) red
  36. 36.If FISH is written as HSIF, how is PARK written in the same code? (a) KRAP (b) JQZO (c) LSBQ (d) QBSL
  37. 37.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 34 87 21 71 89 83. After step 2, what is the 4th number from the left?
  38. 38.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 5. What comes out after step 2?
  39. 39.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 5. What comes out after step 2?
  40. 40.Rule: If the shop is open, then Diya buys milk. Fact: Diya does not buy milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell

Answer key

  1. 98
  2. 141
  3. 43
  4. liar
  5. Aarav
  6. M
  7. 66
  8. 31
  9. must be false
  10. liar
  11. 11
  12. PRGV
  13. XZG
  14. must be true
  15. 48
  16. 29
  17. 253
  18. 82
  19. can't tell
  20. EOBI
  21. 78
  22. 32
  23. 6
  24. 35
  25. green
  26. grandson
  27. 42
  28. 1
  29. 148
  30. truth-teller
  31. 14
  32. No
  33. YLZG
  34. Friday
  35. white
  36. KRAP
  37. 21
  38. 23
  39. 53
  40. must be false

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