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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 267 · 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.

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  1. 1.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  2. 2.If TOYS is written as SNXR, how is PEN written in the same code? (a) PEN (b) ODM (c) QFO (d) NCL
  3. 3.Priya, Vivaan and Farhan each have a bag of a different colour: green, yellow or white. Priya’s bag is not green. Farhan’s bag is not white. Vivaan’s bag is not yellow. Farhan’s bag is not green. Whose bag is yellow? (a) Priya (b) Vivaan (c) Farhan
  4. 4.Statements: All coins are kites. Some cups are coins. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Kavya, Kabir and Myra each play a different game: carrom, badminton or cricket. Myra does not play cricket. Myra does not play badminton. Kabir does not play cricket. Who plays cricket? (a) Kavya (b) Kabir (c) Myra
  6. 6.Riya is a girl. How is Riya’s brother’s wife related to Riya? (a) cousin (b) aunt (c) sister-in-law (d) sister
  7. 7.The sum of three consecutive numbers is 168. What is the largest of them?
  8. 8.Each person always tells the truth or always lies. Siddharth says: “Meera tells the truth.” Vivaan says: “Siddharth is a liar.” Meera says: “Siddharth and I are the same kind.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
  9. 9.Each person always tells the truth or always lies. Karan says: “At least one of us two, Ishaan or I, is a liar.” Ishaan says: “Nisha and I both tell the truth.” Nisha says: “Karan tells the truth.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
  10. 10.In a group of 37 grown-ups, 19 drink tea, 6 drink coffee and 3 drink both. How many drink at least one of the two?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 11 ÷ 6 + 2?
  12. 12.Saanvi is facing South. She turns right, then turns right, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
  13. 13.I am a 2-digit number. My digits add up to 15 and my tens digit is 3 more than my ones digit. What number am I?
  14. 14.Each person always tells the truth or always lies. Dev says: “Ishaan and I both tell the truth.” Ishaan says: “Dev is a liar.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
  15. 15.Saanvi is shorter than Isha. Ishaan is shorter than Saanvi. Manav is taller than Isha. Who is the second shortest? (a) Ishaan (b) Isha (c) Saanvi (d) Manav
  16. 16.Dev is taller than Meera. Dev is shorter than Kabir. Who is the shortest? (a) Dev (b) Kabir (c) Meera
  17. 17.In a group of 32 children, 9 enjoy drawing, 24 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  18. 18.Zoya is younger than Kabir. Kavya is older than Kabir. Who is the youngest? (a) Kabir (b) Zoya (c) Kavya
  19. 19.If COLD is written as EQNF, how is KITE written in the same code? (a) LJUF (b) IGRC (c) MKVG (d) NLWH
  20. 20.If BELL is written as NNGD, how is SUN written in the same code? (a) NUS (b) LSQ (c) UWP (d) PWU
  21. 21.Four friends (Myra, Omkar, Priya and Rahul) sit in a row. Left and right are as you look at them. Omkar sits just to the right of Myra. Rahul sits somewhere to the left of Myra. Priya does not sit at either end. Who sits just to the left of Myra? (a) Rahul (b) Omkar (c) Priya (d) Myra
  22. 22.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  23. 23.Karan walks 13 m West, then turns left and walks 2 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
  24. 24.25 June is a Tuesday. What day of the week is 25 July of the same year? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
  25. 25.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 31 | 10
    13 | 19 | 25
    28 | 7 | 22
  26. 26.Which capital letter looks exactly the same in a mirror? (a) G (b) L (c) A (d) Z
  27. 27.Each person always tells the truth or always lies. Ananya says: “Meera is a liar.” Meera says: “Ananya and I are the same kind.” Is Meera a truth-teller or a liar? (a) truth-teller (b) liar
  28. 28.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    24 | ? | 12
    9 | 21 | 33
    30 | 15 | 18
  29. 29.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
  30. 30.Ananya runs slower than Arjun. Myra runs faster than Arjun. Who runs the fastest? (a) Myra (b) Arjun (c) Ananya
  31. 31.Find the missing number. The same rule works in every row or in every column.
    4 | 3 | 12
    9 | 2 | 18
    9 | 8 | ?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 7 + 11 ÷ 7?
  33. 33.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 3. What comes out after step 3?
  34. 34.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?
  35. 35.Statements: Some cups are keys. No cups are balls. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Today is Thursday. What day of the week will it be 12 days from today? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
  37. 37.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is not open. What can you say about “Aditya buys milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Statements: All coins are keys. Some books are coins. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Arjun walks 9 m West, turns left and walks 24 m, then turns left again and walks 2 m. How far is he from the starting point now, in a straight line (in m)?
  40. 40.Find the missing number. The same rule works in every row or in every column.
    3 | ? | 23
    17 | 18 | 35
    5 | 17 | 22

Answer key

  1. must be true
  2. ODM
  3. Farhan
  4. No
  5. Kavya
  6. sister-in-law
  7. 57
  8. liar
  9. liar
  10. 22
  11. 44
  12. East
  13. 96
  14. liar
  15. Saanvi
  16. Meera
  17. 5
  18. Zoya
  19. MKVG
  20. PWU
  21. Priya
  22. can't tell
  23. South-West
  24. Thursday
  25. 16
  26. A
  27. liar
  28. 27
  29. 1
  30. Myra
  31. 72
  32. 74
  33. 146
  34. 54
  35. No
  36. Tuesday
  37. can't tell
  38. Yes
  39. 25
  40. 20

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