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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 16 · 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.Each person always tells the truth or always lies. Ananya says: “Sneha and I are the same kind.” Sneha says: “Ananya and I both tell the truth.” Is Sneha a truth-teller or a liar? (a) truth-teller (b) liar
  2. 2.Three friends (Meera, Omkar and Zoya) sit in a row. Left and right are as you look at them. Zoya sits somewhere to the left of Omkar. Omkar sits at the right end. Meera does not sit at either end. Who sits just to the right of Zoya? (a) Zoya (b) Meera (c) Omkar
  3. 3.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
  4. 4.Farhan is lighter than Saanvi. Farhan is heavier than Arjun. Arjun is heavier than Dev. Who is the second heaviest? (a) Saanvi (b) Arjun (c) Farhan (d) Dev
  5. 5.Rule: If the shop is open, then Dev buys milk. Fact: The shop is open. What can you say about “Dev buys milk”? (a) must be true (b) must be false (c) can't tell
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 20 ÷ 2 + 19?
  7. 7.Kabir is a boy. How is Kabir’s mother’s only daughter related to Kabir? (a) niece (b) mother (c) aunt (d) sister
  8. 8.23 October is a Monday. What day of the week is 23 November of the same year? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
  9. 9.Statements: Some toys are keys. All keys are balls. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Books read in the summer holidays: Yash 7, Siddharth 13, Neel 25, Aditya 14, Isha 29. What is the total for all five children?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 16 + 6 ÷ 20?
  12. 12.Books read in the summer holidays: Farhan 29, Yash 21, Siddharth 14, Omkar 24, Nisha 6. Who has the fewest books? (a) Farhan (b) Omkar (c) Yash (d) Nisha
  13. 13.Statements: Some rings are pens. All pens are bags. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rohan, Riya and Zoya each have a different pet: rabbit, tortoise or cat. Zoya does not have the tortoise. Rohan does not have the tortoise. Rohan does not have the cat. Which pet does Zoya have? (a) rabbit (b) tortoise (c) cat
  16. 16.In a group of 37 children, 18 sing Hindi songs, 16 sing English songs and 3 sing both. How many sing neither of the two?
  17. 17.Nisha is a girl. How is Nisha’s brother’s son related to Nisha? (a) nephew (b) brother (c) son (d) cousin
  18. 18.Each person always tells the truth or always lies. Ishaan says: “Diya and I both tell the truth.” Diya says: “Ishaan and I are the same kind.” Priya says: “Ishaan is a liar.” Is Priya a truth-teller or a liar? (a) truth-teller (b) liar
  19. 19.Steps climbed in a minute: Priya 20, Ira 65, Myra 50, Siddharth 28, Rahul 27. How many more steps does Myra have than Rahul?
  20. 20.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly one painted face?
  21. 21.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
  22. 22.Saanvi is a girl. How is Saanvi’s father’s sister’s husband related to Saanvi? (a) brother-in-law (b) grandfather (c) uncle (d) father
  23. 23.Which number is the odd one out: 49, 17, 13, 41? (a) 49 (b) 17 (c) 13 (d) 41
  24. 24.If PEN is written as NEP, how is SUN written in the same code? (a) OVT (b) MTR (c) NUS (d) TVO
  25. 25.Siddharth walks 11 m West, then turns around and walks 4 m. How far is he from the starting point now (in m)?
  26. 26.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    20 | 23 | 8
    5 | 17 | ?
    26 | 11 | 14
  27. 27.Each person always tells the truth or always lies. Rohan says: “At least one of us two, Diya or I, is a liar.” Diya says: “Rohan and I both tell the truth.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
  28. 28.Pooja is a girl. How is Pooja’s father’s father’s only son related to Pooja? (a) uncle (b) grandfather (c) father (d) brother
  29. 29.Which number is the odd one out: 23, 3, 24, 61? (a) 23 (b) 3 (c) 24 (d) 61
  30. 30.19 May is a Monday. What day of the week is 19 June of the same year? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
  31. 31.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 2. What comes out after step 2?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 3 − 5 ÷ 19?
  33. 33.1 January 2003 is a Wednesday. What day of the week is 14 October 2003? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  34. 34.If NEST is written as TSEN, how is TREE written in the same code? (a) EERT (b) DDQS (c) USFF (d) FFSU
  35. 35.Find the missing number. The same rule works in every row or in every column.
    ? | 2 | 12
    9 | 3 | 27
    6 | 6 | 36
  36. 36.In a group of 31 children, 15 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  37. 37.Four friends (Aisha, Karan, Manav and Pooja) sit in a row. Left and right are as you look at them. Manav sits at the right end. Aisha sits next to both Pooja and Manav. Who sits just to the left of Manav? (a) Aisha (b) Pooja (c) Karan (d) Manav
  38. 38.Aisha is lighter than Zoya. Yash is lighter than Aisha. Who is the second lightest? (a) Aisha (b) Zoya (c) Yash
  39. 39.Three friends (Aarav, Meera and Neel) sit in a row. Left and right are as you look at them. Meera sits somewhere to the left of Aarav. Aarav sits just to the right of Neel. Who sits just to the left of Neel? (a) Aarav (b) Meera (c) Neel
  40. 40.Today is Monday. What day of the week will it be 68 days from today? (a) Monday (b) Friday (c) Saturday (d) Sunday

Answer key

  1. truth-teller
  2. Meera
  3. must be false
  4. Farhan
  5. must be true
  6. 323
  7. sister
  8. Thursday
  9. No
  10. 88
  11. 36
  12. Nisha
  13. No
  14. must be true
  15. cat
  16. 6
  17. nephew
  18. liar
  19. 23
  20. 54
  21. 6
  22. uncle
  23. 49
  24. NUS
  25. 7
  26. 29
  27. truth-teller
  28. father
  29. 24
  30. Thursday
  31. 14
  32. 9
  33. Tuesday
  34. EERT
  35. 6
  36. 10
  37. Aisha
  38. Aisha
  39. Meera
  40. Saturday

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