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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 591 · 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.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya gets a medal. What can you say about “Riya wins the match”? (a) must be true (b) must be false (c) can't tell
  2. 2.Each person always tells the truth or always lies. Dev says: “Pooja and I are the same kind.” Farhan says: “Dev tells the truth.” Pooja says: “Dev is a liar.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
  3. 3.Farhan is a boy. How is Farhan’s father’s father’s only son related to Farhan? (a) brother (b) father (c) grandfather (d) uncle
  4. 4.Which number is the odd one out: 19, 53, 89, 92? (a) 19 (b) 53 (c) 89 (d) 92
  5. 5.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: 60 35 94 91 12 76. After step 2, what is the 2nd number from the left?
  6. 6.Find the missing number. The same rule works in every row or in every column.
    18 | 1 | 6
    2 | 2 | 5
    20 | ? | 11
  7. 7.A clock shows 8:37. What time will it show 87 minutes later? (a) 10:14 (b) 10:04 (c) 11:04 (d) 9:54
  8. 8.Arjun, Rohan and Tara each have a different pet: parrot, tortoise or rabbit. Tara does not have the parrot. Arjun does not have the rabbit. Rohan does not have the parrot. Tara does not have the rabbit. Who has the rabbit? (a) Arjun (b) Rohan (c) Tara
  9. 9.Statements: All books are caps. All caps are rings. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Find the missing number. The same rule works in every row or in every column.
    8 | 14 | 22
    12 | 1 | 13
    2 | ? | 13
  11. 11.In a group of 45 children, 24 play cricket, 22 play football and 5 play both. How many play neither of the two?
  12. 12.Vivaan is a boy. How is Vivaan’s mother’s brother related to Vivaan? (a) brother (b) cousin (c) grandfather (d) uncle
  13. 13.Karan, Rohan and Diya each have a bag of a different colour: blue, green or yellow. Karan’s bag is not yellow. Karan’s bag is not blue. Rohan’s bag is not blue. Whose bag is green? (a) Karan (b) Rohan (c) Diya
  14. 14.Sneha is a girl. How is Sneha’s brother’s daughter related to Sneha? (a) niece (b) daughter (c) cousin (d) sister
  15. 15.In a group of 41 grown-ups, 17 drink tea, 23 drink coffee and 8 drink both. How many drink only tea?
  16. 16.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: 87 44 56 61 30 70. After step 2, what is the 4th number from the left?
  17. 17.Today is Wednesday. What day of the week will it be 47 days from today? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  18. 18.Which number is the odd one out: 55, 80, 29, 11? (a) 55 (b) 80 (c) 29 (d) 11
  19. 19.Dev walks 12 km North, then turns right and walks 5 km. How far is he from the starting point now, in a straight line (in km)?
  20. 20.Aarav walks 16 km North, then turns right and walks 12 km. How far is he from the starting point now, in a straight line (in km)?
  21. 21.Statements: No coins are bells. All kites are bells. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.1 January 2032 is a Thursday. What day of the week is 3 April 2032? (a) Monday (b) Sunday (c) Saturday (d) Friday
  23. 23.A clock shows 3:34. What time does it show in a mirror? (a) 9:26 (b) 9:34 (c) 8:26 (d) 7:26
  24. 24.Find the missing number. The same rule works in every row or in every column.
    13 | ? | 2
    5 | 11 | 7
    9 | 10 | 4
  25. 25.If NEST is written as PGUV, how is SUN written in the same code? (a) VXQ (b) TVO (c) UWP (d) QSL
  26. 26.I am a 2-digit number. My digits add up to 5 and my tens digit is 1 more than my ones digit. What number am I?
  27. 27.Find the missing number. The same rule works in every row or in every column.
    9 | 9 | 10
    4 | 20 | 8
    13 | ? | 18
  28. 28.If BOAT is written as UBPC, how is LAMP written in the same code? (a) QNBM (b) MBNQ (c) PMAL (d) OLZK
  29. 29.Steps climbed in a minute: Dev 28, Rohan 66, Diya 71, Priya 84, Karan 85. What is the total for all five children?
  30. 30.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: 58 54 51 57 60 86. After step 2, what is the 5th number from the left?
  31. 31.Five friends (Aisha, Farhan, Kavya, Neel and Nisha) sit in a row. Left and right are as you look at them. Kavya does not sit at either end. Aisha sits somewhere to the left of Neel. Aisha sits somewhere to the left of Farhan. Neel sits just to the right of Kavya. Nisha sits just to the right of Farhan. Neel sits next to both Kavya and Farhan. Who sits at the left end? (a) Farhan (b) Neel (c) Aisha (d) Kavya
  32. 32.Two standard dice show 3 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
  33. 33.Aarav, Rahul and Dev each play a different game: carrom, chess or football. Aarav does not play football. Rahul does not play chess. Rahul does not play football. Who plays football? (a) Aarav (b) Rahul (c) Dev
  34. 34.Each person always tells the truth or always lies. Rohan says: “Priya tells the truth.” Priya says: “Rohan and I are the same kind.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
  35. 35.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  37. 37.Find the missing number. The same rule works in every row or in every column.
    2 | 6 | 12
    2 | 8 | ?
    3 | 2 | 6
  38. 38.Which number is the odd one out: 73, 79, 87, 60? (a) 73 (b) 79 (c) 87 (d) 60
  39. 39.In a group of 41 grown-ups, 22 drink tea, 7 drink coffee and 2 drink both. How many drink at least one of the two?
  40. 40.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 2. What comes out after step 2?

Answer key

  1. can't tell
  2. liar
  3. father
  4. 92
  5. 91
  6. 3
  7. 10:04
  8. Rohan
  9. No
  10. 11
  11. 4
  12. uncle
  13. Karan
  14. niece
  15. 9
  16. 56
  17. Monday
  18. 80
  19. 13
  20. 20
  21. Yes
  22. Saturday
  23. 8:26
  24. 8
  25. UWP
  26. 32
  27. 29
  28. QNBM
  29. 334
  30. 51
  31. Aisha
  32. 9
  33. Dev
  34. truth-teller
  35. must be true
  36. can't tell
  37. 16
  38. 60
  39. 27
  40. 30

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