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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 874 · 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.Marks in a maths test (out of 50): Rohan 31, Diya 15, Farhan 35, Aarav 43, Neel 45. How many children have more than 32 marks?
  2. 2.Runs scored in a cricket match: Neel 38, Ananya 34, Vivaan 26, Tara 41, Omkar 19. Who has the fewest runs? (a) Vivaan (b) Ananya (c) Neel (d) Omkar
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 7 − 19 ÷ 3?
  4. 4.Riya runs slower than Aisha. Riya runs faster than Diya. Who runs the slowest? (a) Diya (b) Riya (c) Aisha
  5. 5.Statements: Some bags are books. Some caps are bags. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Each person always tells the truth or always lies. Siddharth says: “Vivaan and I both tell the truth.” Vivaan says: “Kabir is a liar.” Kabir says: “Vivaan and I are different kinds.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
  7. 7.Find the missing number. The same rule works in every row or in every column.
    5 | ? | 5
    5 | 8 | 7
    5 | 14 | 1
  8. 8.If STAR is written as UVCT, how is PARK written in the same code? (a) QBSL (b) RCTM (c) NYPI (d) SDUN
  9. 9.Arjun walks 8 km North, then turns right and walks 15 km. How far is he from the starting point now, in a straight line (in km)?
  10. 10.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?
  11. 11.Aarav is a boy. How is Aarav’s mother’s father related to Aarav? (a) uncle (b) grandfather (c) father (d) grandson
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 18 ÷ 2 − 2?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 3 × 5 ÷ 5?
  14. 14.Isha walks 14 m North, then turns around and walks 2 m. How far is she from the starting point now (in m)?
  15. 15.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: 27 60 38 87 65 55. After step 4, what is the 6th number from the left?
  16. 16.Two standard dice show 3 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  18. 18.Karan, Saanvi and Vivaan each have a bag of a different colour: white, blue or yellow. Karan’s bag is not yellow. Saanvi’s bag is not blue. Vivaan’s bag is not blue. Vivaan’s bag is not yellow. Whose bag is white? (a) Karan (b) Saanvi (c) Vivaan
  19. 19.Three friends (Riya, Tara and Yash) sit in a row. Left and right are as you look at them. Tara sits just to the right of Riya. Tara does not sit at either end. Who sits at the right end? (a) Tara (b) Yash (c) Riya
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 20 + 8 − 2?
  21. 21.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  22. 22.Siddharth runs faster than Ishaan. Saanvi runs slower than Ishaan. Who runs the fastest? (a) Saanvi (b) Siddharth (c) Ishaan
  23. 23.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) G (b) S (c) C (d) F
  24. 24.Karan walks 9 m North, then turns around and walks 7 m. How far is he from the starting point now (in m)?
  25. 25.Diya is older than Rahul. Manav is younger than Aarav. Aarav is younger than Rahul. Who is the youngest? (a) Diya (b) Manav (c) Rahul (d) Aarav
  26. 26.Today is Monday. What day of the week will it be 24 days from today? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
  27. 27.Tara is a girl. How is Tara’s father’s father’s only son related to Tara? (a) grandfather (b) brother (c) father (d) uncle
  28. 28.Yash, Nisha and Tara each have a different pet: rabbit, dog or tortoise. Tara does not have the tortoise. Nisha does not have the tortoise. Nisha does not have the rabbit. Which pet does Tara have? (a) rabbit (b) dog (c) tortoise
  29. 29.Which number is the odd one out: 32, 19, 53, 13? (a) 32 (b) 19 (c) 53 (d) 13
  30. 30.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 one painted face?
  31. 31.Kavya walks 7 m West, then turns left and walks 9 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
  32. 32.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: 32 84 36 72 29 98. After step 4, what is the 6th number from the left?
  33. 33.Find the missing number. The same rule works in every row or in every column.
    ? | 1 | 12
    13 | 7 | 20
    18 | 8 | 32
  34. 34.Statements: Some coins are boxes. All books are boxes. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Myra, Pooja and Kabir each have a bag of a different colour: yellow, white or blue. Pooja’s bag is not white. Pooja’s bag is not yellow. Myra’s bag is not yellow. What colour is Kabir’s bag? (a) yellow (b) white (c) blue
  36. 36.Each person always tells the truth or always lies. Aarav says: “Zoya and I both tell the truth.” Meera says: “Zoya is a liar.” Zoya says: “Meera and I both tell the truth.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
  37. 37.Each person always tells the truth or always lies. Manav says: “Ishaan and I are the same kind.” Ishaan says: “Manav and I are different kinds.” Is Manav a truth-teller or a liar? (a) truth-teller (b) liar
  38. 38.Each person always tells the truth or always lies. Diya says: “Zoya and I are the same kind.” Zoya says: “Diya and I both tell the truth.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar
  39. 39.Each person always tells the truth or always lies. Diya says: “At least one of us two, Saanvi or I, is a liar.” Saanvi says: “Ishaan and I are different kinds.” Ishaan says: “Saanvi and I both tell the truth.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar
  40. 40.Steps climbed in a minute: Ishaan 87, Ira 70, Karan 81, Dev 20, Neel 57. What is the difference between the highest and the lowest?

Answer key

  1. 3
  2. Omkar
  3. 30
  4. Diya
  5. No
  6. liar
  7. 10
  8. RCTM
  9. 17
  10. 5
  11. grandfather
  12. 180
  13. 26
  14. 12
  15. 65
  16. 10
  17. 21.5
  18. Vivaan
  19. Yash
  20. 11
  21. must be false
  22. Siddharth
  23. C
  24. 2
  25. Manav
  26. Thursday
  27. father
  28. rabbit
  29. 32
  30. 54
  31. South-West
  32. 29
  33. 5
  34. No
  35. yellow
  36. liar
  37. liar
  38. truth-teller
  39. truth-teller
  40. 67

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