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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 151 · 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. Tara says: “Myra and I are the same kind.” Myra says: “Tara and I are different kinds.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
  2. 2.16 January is a Thursday. What day of the week is 16 February of the same year? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
  3. 3.Each person always tells the truth or always lies. Tara says: “Priya and I are the same kind.” Priya says: “Tara tells the truth.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
  4. 4.Riya is a girl. How is Riya’s father’s sister related to Riya? (a) aunt (b) cousin (c) sister (d) mother
  5. 5.Today is Saturday. What day of the week will it be 44 days from today? (a) Wednesday (b) Monday (c) Tuesday (d) Sunday
  6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 6 − 16 × 17?
  7. 7.Neel is a boy. How is Neel’s son’s son related to Neel? (a) brother (b) grandson (c) nephew (d) son
  8. 8.Statements: All boxes are pens. Some bags are boxes. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 12 ÷ 16 + 9?
  10. 10.In a group of 36 children, 9 play cricket, 20 play football and 3 play both. How many play neither of the two?
  11. 11.Trees planted in a week: Kavya 40, Karan 5, Farhan 6, Yash 23, Pooja 20. How many children have more than 15 trees?
  12. 12.Aarav is lighter than Aditya. Ira is heavier than Nisha. Nisha is heavier than Aditya. Who is the heaviest? (a) Nisha (b) Ira (c) Aditya (d) Aarav
  13. 13.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have at least one painted face?
  14. 14.If SHIP is written as OHGR, how is BELL written in the same code? (a) ADKK (b) KKDA (c) LLEB (d) MMFC
  15. 15.I am a 2-digit number. My digits add up to 13 and my tens digit is 5 more than my ones digit. What number am I?
  16. 16.If TOYS is written as UAQV, how is CAT written in the same code? (a) ECV (b) TAC (c) VCE (d) RYA
  17. 17.Kites flown at Makar Sankranti: Aditya 25, Aisha 23, Rohan 10, Kavya 5, Arjun 9. What is the total for all five children?
  18. 18.Statements: Some coins are books. All bells are coins. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Ira is a girl. How is Ira’s mother’s father related to Ira? (a) grandson (b) uncle (c) grandfather (d) father
  20. 20.I am a 2-digit number. My digits add up to 8 and my tens digit is 4 more than my ones digit. What number am I?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 12 − 4 + 2?
  22. 22.Five friends (Aditya, Ishaan, Karan, Kavya and Tara) sit in a row. Left and right are as you look at them. Kavya sits just to the right of Karan. Kavya sits somewhere to the left of Ishaan. Tara sits next to both Kavya and Ishaan. Karan sits next to both Aditya and Kavya. Who sits in the middle? (a) Ishaan (b) Kavya (c) Karan (d) Aditya
  23. 23.Isha is a girl. How is Isha’s father’s sister’s husband related to Isha? (a) brother-in-law (b) grandfather (c) uncle (d) father
  24. 24.A clock shows 2:20. What time will it show 32 minutes later? (a) 2:52 (b) 3:02 (c) 2:42 (d) 3:52
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 3 ÷ 10 + 5?
  26. 26.In a group of 39 children, 19 sing Hindi songs, 26 sing English songs and 7 sing both. How many sing only Hindi songs?
  27. 27.1 January 2003 is a Wednesday. What day of the week is 17 April 2003? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
  28. 28.Which capital letter looks exactly the same in a mirror? (a) G (b) K (c) B (d) H
  29. 29.The sum of three consecutive numbers is 105. What is the smallest of them?
  30. 30.Today is Monday. What day of the week will it be 79 days from today? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  31. 31.Farhan, Rohan and Kavya each have a bag of a different colour: blue, yellow or red. Rohan’s bag is not red. Rohan’s bag is not yellow. Kavya’s bag is not yellow. What colour is Rohan’s bag? (a) blue (b) yellow (c) red
  32. 32.In a group of 18 children, 7 sing Hindi songs, 6 sing English songs and 3 sing both. How many sing neither of the two?
  33. 33.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) B (b) Y (c) J (d) G
  34. 34.In a group of 24 grown-ups, 14 drink tea, 10 drink coffee and 5 drink both. How many drink at least one of the two?
  35. 35.Rohan walks 12 m South, then turns around and walks 9 m. How far is he from the starting point now (in m)?
  36. 36.In a group of 36 children, 15 enjoy drawing, 21 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 3 ÷ 2 + 7?
  38. 38.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not go to the park. What can you say about “Aisha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  39. 39.Each person always tells the truth or always lies. Saanvi says: “Siddharth and I are different kinds.” Siddharth says: “Saanvi and I are the same kind.” Is Saanvi a truth-teller or a liar? (a) truth-teller (b) liar
  40. 40.A clock shows 3:14. What time will it show 87 minutes later? (a) 5:41 (b) 4:31 (c) 4:41 (d) 4:51

Answer key

  1. liar
  2. Sunday
  3. truth-teller
  4. aunt
  5. Monday
  6. 83
  7. grandson
  8. Yes
  9. 188
  10. 10
  11. 3
  12. Ira
  13. 152
  14. KKDA
  15. 94
  16. VCE
  17. 72
  18. No
  19. grandfather
  20. 62
  21. 29
  22. Kavya
  23. uncle
  24. 2:52
  25. 32
  26. 12
  27. Thursday
  28. H
  29. 34
  30. Wednesday
  31. blue
  32. 8
  33. B
  34. 19
  35. 3
  36. 32
  37. 2
  38. must be true
  39. truth-teller
  40. 4:41

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