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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 315 · 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.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
  2. 2.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya gets a medal. What can you say about “Ananya wins the match”? (a) must be true (b) must be false (c) can't tell
  3. 3.Each person always tells the truth or always lies. Siddharth says: “Omkar and I both tell the truth.” Karan says: “Siddharth is a liar.” Omkar says: “Siddharth and I are the same kind.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
  4. 4.Find the missing number. The same rule works in every row or in every column.
    ? | 19 | 25
    1 | 5 | 6
    12 | 1 | 13
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 12 × 12 − 20?
  6. 6.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly three painted faces?
  7. 7.Rohan is younger than Dev. Rohan is older than Tara. Vivaan is older than Dev. Who is the second oldest? (a) Vivaan (b) Tara (c) Rohan (d) Dev
  8. 8.Yash is heavier than Meera. Yash is lighter than Saanvi. Meera is heavier than Myra. Who is the second lightest? (a) Myra (b) Yash (c) Meera (d) Saanvi
  9. 9.Kites flown at Makar Sankranti: Zoya 24, Aditya 23, Dev 7, Isha 12, Farhan 16. Who has the most kites? (a) Aditya (b) Zoya (c) Dev (d) Farhan
  10. 10.I am a 2-digit number. My digits add up to 5. If you swap my two digits, the new number is 27 more than me. What number am I?
  11. 11.Books read in the summer holidays: Riya 15, Aarav 6, Siddharth 29, Isha 17, Karan 8. What is the total for all five children?
  12. 12.21 September is a Monday. What day of the week is 21 October of the same year? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
  13. 13.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan wins the match. What can you say about “Rohan gets a medal”? (a) must be true (b) must be false (c) can't tell
  14. 14.Statements: Some balls are coins. All coins are books. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Trees planted in a week: Isha 40, Diya 34, Ishaan 16, Sneha 6, Saanvi 27. How many more trees does Diya have than Saanvi?
  16. 16.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha scores above 90. What can you say about “Nisha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  17. 17.A clock shows 7:32. What time does it show in a mirror? (a) 3:28 (b) 5:32 (c) 5:28 (d) 4:28
  18. 18.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 3. What comes out after step 2?
  19. 19.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 7. What comes out after step 2?
  20. 20.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    34 | ? | 22
    13 | 25 | 37
    28 | 31 | 16
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 16 ÷ 14 − 11?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 10 × 10 + 19?
  24. 24.Steps climbed in a minute: Priya 52, Zoya 30, Aarav 64, Kabir 77, Farhan 32. What is the total for all five children?
  25. 25.Each person always tells the truth or always lies. Saanvi says: “Vivaan is a liar.” Vivaan says: “Saanvi and I are different kinds.” Is Saanvi a truth-teller or a liar? (a) truth-teller (b) liar
  26. 26.Find the missing number. The same rule works in every row or in every column.
    13 | 8 | 21
    6 | ? | 11
    16 | 11 | 27
  27. 27.Aisha walks 13 m West, turns right and walks 5 m, then turns right again and walks 1 m. How far is she from the starting point now, in a straight line (in m)?
  28. 28.Which capital letter looks exactly the same in a mirror? (a) Q (b) B (c) E (d) A
  29. 29.Is 1700 a leap year? (a) Yes (b) No
  30. 30.A clock shows 9:00. What time does it show in a mirror? (a) 2:00 (b) 4:00 (c) 9:00 (d) 3:00
  31. 31.Statements: Some pens are bells. Some bells are books. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.The sum of three consecutive numbers is 102. What is the largest of them?
  33. 33.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    12 | ? | 20
    22 | 14 | 6
    8 | 18 | 16
  34. 34.Marks in a maths test (out of 50): Saanvi 42, Ishaan 28, Kavya 44, Vivaan 36, Nisha 47. Who has the fewest marks? (a) Nisha (b) Kavya (c) Saanvi (d) Ishaan
  35. 35.In a group of 49 children, 22 play chess, 22 play carrom and 5 play both. How many play only chess?
  36. 36.Ira is lighter than Riya. Ananya is lighter than Ira. Siddharth is lighter than Ananya. Who is the second lightest? (a) Siddharth (b) Ira (c) Ananya (d) Riya
  37. 37.Farhan is taller than Aditya. Pooja is shorter than Aditya. Who is the shortest? (a) Farhan (b) Aditya (c) Pooja
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 10 + 6 − 8?
  39. 39.I am a 2-digit number. My digits add up to 13. If you swap my two digits, the new number is 27 more than me. What number am I?
  40. 40.Nisha is taller than Pooja. Nisha is shorter than Dev. Ananya is shorter than Pooja. Who is the tallest? (a) Dev (b) Nisha (c) Pooja (d) Ananya

Answer key

  1. 5
  2. can't tell
  3. truth-teller
  4. 6
  5. 246
  6. 8
  7. Dev
  8. Meera
  9. Zoya
  10. 14
  11. 75
  12. Wednesday
  13. must be true
  14. No
  15. 7
  16. must be false
  17. 4:28
  18. 27
  19. 40
  20. 19
  21. 5
  22. 140
  23. 27
  24. 255
  25. liar
  26. 5
  27. 13
  28. A
  29. No
  30. 3:00
  31. No
  32. 35
  33. 10
  34. Ishaan
  35. 17
  36. Ananya
  37. Pooja
  38. 33
  39. 58
  40. Dev

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