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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 522 · 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.If MILK is written as NJML, how is FISH written in the same code? (a) HKUJ (b) EHRG (c) GJTI (d) ITJG
  2. 2.Ira, Nisha and Vivaan each have a bag of a different colour: white, yellow or blue. Vivaan’s bag is not blue. Ira’s bag is not blue. Ira’s bag is not white. Whose bag is blue? (a) Ira (b) Nisha (c) Vivaan
  3. 3.Three friends (Isha, Ishaan and Vivaan) sit in a row. Left and right are as you look at them. Isha sits at the right end. Ishaan sits just to the right of Vivaan. Who sits in the middle? (a) Vivaan (b) Ishaan (c) Isha
  4. 4.Manav is a boy. How is Manav’s mother’s mother related to Manav? (a) mother (b) aunt (c) grandmother (d) sister
  5. 5.I am a 2-digit number. My digits add up to 13. If you swap my two digits, the new number is 45 more than me. What number am I?
  6. 6.Rahul, Myra and Priya each have a different pet: rabbit, tortoise or cat. Myra does not have the tortoise. Priya does not have the rabbit. Rahul does not have the rabbit. Rahul does not have the cat. Which pet does Rahul have? (a) rabbit (b) tortoise (c) cat
  7. 7.Omkar, Isha and Neel each play a different game: badminton, football or cricket. Neel does not play football. Omkar does not play cricket. Isha does not play football. Neel does not play badminton. Which game does Isha play? (a) badminton (b) football (c) cricket
  8. 8.In a group of 15 children, 10 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing at least one of the two?
  9. 9.In a group of 34 children, 30 like mangoes, 13 like bananas and 10 like both. How many like only bananas?
  10. 10.Ishaan is a boy. How is Ishaan’s sister’s daughter related to Ishaan? (a) aunt (b) niece (c) sister (d) daughter
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  12. 12.Rule: If the shop is open, then Kavya buys milk. Fact: Kavya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 14 + 20 ÷ 17?
  15. 15.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha finishes the homework. What can you say about “Nisha goes to the park”? (a) must be true (b) must be false (c) can't tell
  16. 16.Sneha runs faster than Karan. Manav runs slower than Karan. Kavya runs faster than Sneha. Who runs the fastest? (a) Manav (b) Kavya (c) Sneha (d) Karan
  17. 17.Find the missing number. The same rule works in every row or in every column.
    4 | 3 | 12
    3 | 9 | ?
    3 | 2 | 6
  18. 18.Statements: Some toys are boxes. All toys are cups. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 4 ÷ 11 − 13?
  20. 20.Find the missing number. The same rule works in every row or in every column.
    3 | 5 | 15
    6 | 3 | 18
    2 | ? | 6
  21. 21.Find the missing number. The same rule works in every row or in every column.
    4 | 12 | 16
    16 | 15 | ?
    4 | 4 | 8
  22. 22.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have no painted face?
  23. 23.Statements: All shoes are balls. All balls are boxes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.I am a 2-digit number. My digits add up to 7. If you swap my two digits, the new number is 27 more than me. What number am I?
  25. 25.Two standard dice show 3 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
  26. 26.Trees planted in a week: Aditya 16, Omkar 13, Siddharth 7, Tara 14, Kabir 30. How many children have more than 16 trees?
  27. 27.Statements: All bags are coins. Some shoes are bags. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Kites flown at Makar Sankranti: Siddharth 8, Rohan 16, Diya 6, Arjun 5, Meera 4. Who has the fewest kites? (a) Arjun (b) Siddharth (c) Rohan (d) Meera
  29. 29.Which number is the odd one out: 41, 32, 88, 58? (a) 41 (b) 32 (c) 88 (d) 58
  30. 30.Saanvi is heavier than Siddharth. Vivaan is lighter than Siddharth. Riya is lighter than Vivaan. Who is the second heaviest? (a) Saanvi (b) Siddharth (c) Riya (d) Vivaan
  31. 31.Two standard dice show 2 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
  32. 32.Dev is a boy. How is Dev’s sister’s son related to Dev? (a) brother (b) cousin (c) son (d) nephew
  33. 33.Statements: No keys are boxes. No coins are boxes. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    16 | 37 | 22
    31 | 25 | 19
    28 | 13 | ?
  35. 35.Marks in a maths test (out of 50): Zoya 24, Diya 21, Karan 18, Myra 50, Rohan 43. Who has the most marks? (a) Myra (b) Rohan (c) Karan (d) Diya
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 20 × 5 ÷ 18?
  37. 37.Kabir is shorter than Aarav. Nisha is taller than Vivaan. Vivaan is taller than Aarav. Who is the second shortest? (a) Kabir (b) Aarav (c) Nisha (d) Vivaan
  38. 38.Each person always tells the truth or always lies. Isha says: “Rohan and I both tell the truth.” Priya says: “At least one of us two, Isha or I, is a liar.” Rohan says: “Isha and I both tell the truth.” Is Priya a truth-teller or a liar? (a) truth-teller (b) liar
  39. 39.Kabir is a boy. How is Kabir’s father’s sister’s husband related to Kabir? (a) father (b) brother-in-law (c) grandfather (d) uncle
  40. 40.Four friends (Aarav, Arjun, Farhan and Omkar) sit in a row. Left and right are as you look at them. Omkar sits just to the right of Farhan. Arjun sits just to the right of Omkar. Omkar sits somewhere to the left of Aarav. Who sits at the left end? (a) Aarav (b) Omkar (c) Arjun (d) Farhan

Answer key

  1. GJTI
  2. Nisha
  3. Ishaan
  4. grandmother
  5. 49
  6. tortoise
  7. badminton
  8. 14
  9. 3
  10. niece
  11. 121
  12. can't tell
  13. 166
  14. 249
  15. must be true
  16. Kavya
  17. 27
  18. Yes
  19. 10
  20. 3
  21. 31
  22. 1
  23. No
  24. 25
  25. 5
  26. 1
  27. No
  28. Meera
  29. 41
  30. Siddharth
  31. 7
  32. nephew
  33. No
  34. 34
  35. Myra
  36. 94
  37. Aarav
  38. truth-teller
  39. uncle
  40. Farhan

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