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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 938 · 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.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 3 × 16 ÷ 5?
  2. 2.Each person always tells the truth or always lies. Sneha says: “Rohan and I are the same kind.” Rohan says: “Zoya and I are the same kind.” Zoya says: “At least one of us two, Sneha or I, is a liar.” Is Sneha a truth-teller or a liar? (a) truth-teller (b) liar
  3. 3.Four friends (Aditya, Nisha, Priya and Tara) sit in a row. Left and right are as you look at them. Priya sits just to the right of Aditya. Tara sits somewhere to the left of Priya. Nisha sits just to the right of Priya. Who sits at the left end? (a) Aditya (b) Nisha (c) Priya (d) Tara
  4. 4.If NEST is written as MVHG, how is TOYS written in the same code? (a) FKAG (b) HMCI (c) GLBH (d) UPZT
  5. 5.Each person always tells the truth or always lies. Dev says: “Aarav is a liar.” Ishaan says: “Dev tells the truth.” Aarav says: “Ishaan and I both tell the truth.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
  6. 6.If MOON is written as OQQP, how is FROG written in the same code? (a) HTQI (b) IURJ (c) DPME (d) GSPH
  7. 7.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: 73 23 57 17 50 11. After step 3, what is the 1st number from the left?
  8. 8.In a group of 40 children, 20 play cricket, 23 play football and 7 play both. How many play only football?
  9. 9.In a group of 41 children, 24 sing Hindi songs, 16 sing English songs and 12 sing both. How many sing exactly one of the two?
  10. 10.A number machine multiplies a number by 2 and then takes away 4. Each output goes back in as the next input. Start with 9. What comes out after step 3?
  11. 11.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 5. What comes out after step 3?
  12. 12.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
  13. 13.Which capital letter looks exactly the same in a mirror? (a) Q (b) O (c) E (d) S
  14. 14.Four friends (Aditya, Farhan, Manav and Nisha) sit in a row. Left and right are as you look at them. Farhan sits just to the right of Aditya. Nisha sits next to both Manav and Aditya. Who sits at the left end? (a) Manav (b) Nisha (c) Aditya (d) Farhan
  15. 15.Each person always tells the truth or always lies. Vivaan says: “Karan tells the truth.” Karan says: “Vivaan and I are the same kind.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
  16. 16.Find the missing number. The same rule works in every row or in every column.
    12 | 17 | 29
    4 | 6 | 10
    14 | 1 | ?
  17. 17.Neel is a boy. How is Neel’s son’s son related to Neel? (a) son (b) grandson (c) brother (d) nephew
  18. 18.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 3 | 13
    7 | 11 | 15
    9 | 19 | 5
  19. 19.I am a 2-digit number. My digits add up to 11. If you swap my two digits, the new number is 9 more than me. What number am I?
  20. 20.Ananya is a girl. How is Ananya’s mother’s father related to Ananya? (a) uncle (b) grandfather (c) father (d) grandson
  21. 21.Sneha runs faster than Dev. Aditya runs faster than Sneha. Who runs the second slowest? (a) Dev (b) Sneha (c) Aditya
  22. 22.Today is Monday. What day of the week will it be 82 days from today? (a) Friday (b) Saturday (c) Sunday (d) Monday
  23. 23.If TOYS is written as GLBH, how is KITE written in the same code? (a) LJUF (b) QSHW (c) OQFU (d) PRGV
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 5 ÷ 17 + 3?
  25. 25.Arjun, Yash and Sneha each have a bag of a different colour: white, blue or red. Sneha’s bag is not red. Yash’s bag is not white. Arjun’s bag is not white. Yash’s bag is not red. What colour is Arjun’s bag? (a) white (b) blue (c) red
  26. 26.Sneha is facing North. She turns right, then turns right, then turns around (a half turn). Which direction is she facing now? (a) North (b) East (c) South (d) West
  27. 27.Zoya, Neel and Farhan each play a different game: carrom, chess or football. Zoya does not play football. Farhan does not play football. Farhan does not play carrom. Which game does Neel play? (a) carrom (b) chess (c) football
  28. 28.If LAMP is written as MBNQ, how is TOYS written in the same code? (a) VQAU (b) TZPU (c) SNXR (d) UPZT
  29. 29.Each person always tells the truth or always lies. Aisha says: “Aditya and I are the same kind.” Aditya says: “Aisha and I are different kinds.” Is Aisha a truth-teller or a liar? (a) truth-teller (b) liar
  30. 30.In a group of 20 children, 15 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing exactly one of the two?
  31. 31.Which number is the odd one out: 47, 23, 46, 73? (a) 47 (b) 23 (c) 46 (d) 73
  32. 32.Three friends (Ananya, Ishaan and Rohan) sit in a row. Left and right are as you look at them. Ishaan sits at the right end. Rohan sits just to the right of Ananya. Who sits at the left end? (a) Ishaan (b) Ananya (c) Rohan
  33. 33.If STAR is written as RATS, how is BELL written in the same code? (a) KKDA (b) LLEB (c) CFMM (d) MMFC
  34. 34.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  35. 35.Each person always tells the truth or always lies. Diya says: “Isha is a liar.” Ishaan says: “Isha and I both tell the truth.” Isha says: “Ishaan is a liar.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
  36. 36.Rohan walks 7 m South, turns left and walks 4 m, then turns left again and walks 4 m. How far is he from the starting point now, in a straight line (in m)?
  37. 37.Two standard dice show 4 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
  38. 38.Ira is facing South. She turns left, then turns left, then turns right, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
  39. 39.Five friends (Aarav, Myra, Priya, Saanvi and Yash) sit in a row. Left and right are as you look at them. Aarav sits next to both Priya and Saanvi. Aarav sits just to the right of Priya. Aarav sits somewhere to the left of Yash. Myra sits somewhere to the left of Aarav. Who sits in the middle? (a) Saanvi (b) Aarav (c) Myra (d) Priya
  40. 40.Five friends (Kavya, Rohan, Saanvi, Yash and Zoya) sit in a row. Left and right are as you look at them. Yash does not sit at either end. Rohan sits somewhere to the left of Zoya. Kavya does not sit at either end. Rohan sits somewhere to the left of Saanvi. Kavya sits next to both Saanvi and Zoya. Saanvi sits next to both Yash and Kavya. Who sits at the right end? (a) Zoya (b) Kavya (c) Saanvi (d) Yash

Answer key

  1. 10
  2. liar
  3. Tara
  4. GLBH
  5. liar
  6. HTQI
  7. 11
  8. 16
  9. 16
  10. 44
  11. 26
  12. 4
  13. O
  14. Manav
  15. truth-teller
  16. 15
  17. grandson
  18. 17
  19. 56
  20. grandfather
  21. Sneha
  22. Saturday
  23. PRGV
  24. 101
  25. red
  26. North
  27. football
  28. UPZT
  29. liar
  30. 7
  31. 46
  32. Ananya
  33. LLEB
  34. can't tell
  35. liar
  36. 5
  37. 9
  38. North
  39. Aarav
  40. Zoya

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