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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 297 · 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.Statements: All keys are pens. Some shoes are keys. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Each person always tells the truth or always lies. Diya says: “Arjun and I both tell the truth.” Arjun says: “At least one of us two, Diya or I, is a liar.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar
  3. 3.Kabir walks 18 m East, turns left and walks 16 m, then turns left again and walks 6 m. How far is he from the starting point now, in a straight line (in m)?
  4. 4.Four friends (Aarav, Arjun, Kabir and Pooja) sit in a row. Left and right are as you look at them. Pooja sits at the right end. Arjun sits just to the right of Aarav. Kabir sits somewhere to the left of Arjun. Who sits at the left end? (a) Arjun (b) Pooja (c) Kabir (d) Aarav
  5. 5.In a group of 26 children, 6 play cricket, 13 play football and 3 play both. How many play only football?
  6. 6.Find the missing number. The same rule works in every row or in every column.
    6 | 10 | 16
    14 | 8 | 22
    7 | ? | 25
  7. 7.In a group of 45 children, 24 play chess, 30 play carrom and 11 play both. How many play neither of the two?
  8. 8.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha does not go to the park. What can you say about “Nisha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 5 + 5 × 20?
  10. 10.If DESK is written as BCQI, how is DRUM written in the same code? (a) FTWO (b) AORJ (c) BPSK (d) CQTL
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 16 × 10 + 2?
  12. 12.1 January 2010 is a Friday. What day of the week is 18 December 2010? (a) Friday (b) Sunday (c) Monday (d) Saturday
  13. 13.Find the missing number. The same rule works in every row or in every column.
    4 | 6 | 24
    6 | 5 | 30
    ? | 6 | 30
  14. 14.Kites flown at Makar Sankranti: Meera 5, Omkar 25, Farhan 14, Ananya 17, Riya 21. What is the total for all five children?
  15. 15.I am a 2-digit number. My digits add up to 2 and my tens digit is 2 more than my ones digit. What number am I?
  16. 16.Find the missing number. The same rule works in every row or in every column.
    7 | 1 | 14
    5 | 15 | 2
    17 | ? | 3
  17. 17.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 9. What comes out after step 2?
  18. 18.Each person always tells the truth or always lies. Karan says: “Rohan tells the truth.” Rohan says: “Karan and I are the same kind.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
  19. 19.Which number is the odd one out: 73, 93, 83, 12? (a) 73 (b) 93 (c) 83 (d) 12
  20. 20.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
  21. 21.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) A (b) S (c) W (d) H
  22. 22.Which capital letter does NOT look the same in a mirror? (a) S (b) H (c) Y (d) T
  23. 23.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: 18 31 25 78 97 15. After step 4, what is the 2nd number from the left?
  24. 24.Myra is facing North. She turns left, then turns right, then turns left, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
  25. 25.Statements: Some toys are kites. All rings are toys. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Which number is the odd one out: 37, 74, 89, 13? (a) 37 (b) 74 (c) 89 (d) 13
  27. 27.Pooja walks 11 m South, then turns left and walks 15 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 3 + 5 × 5?
  30. 30.Rahul is a boy. How is Rahul’s sister’s son related to Rahul? (a) son (b) nephew (c) cousin (d) brother
  31. 31.Arjun is a boy. How is Arjun’s mother’s brother’s son related to Arjun? (a) nephew (b) cousin (c) uncle (d) brother
  32. 32.A clock shows 1:10. What time does it show in a mirror? (a) 11:10 (b) 9:50 (c) 10:50 (d) 11:50
  33. 33.If CAT is written as ECV, how is FISH written in the same code? (a) GJTI (b) DGQF (c) ILVK (d) HKUJ
  34. 34.Marks in a maths test (out of 50): Sneha 21, Aisha 32, Priya 39, Manav 25, Arjun 16. What is the total for all five children?
  35. 35.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  36. 36.Tara is a girl. How is Tara’s mother’s father related to Tara? (a) grandson (b) grandfather (c) father (d) uncle
  37. 37.Find the missing number. The same rule works in every row or in every column.
    13 | 9 | 16
    2 | 5 | 17
    ? | 14 | 33
  38. 38.Meera, Myra and Arjun each have a bag of a different colour: white, red or blue. Myra’s bag is not blue. Arjun’s bag is not red. Meera’s bag is not white. Meera’s bag is not red. Whose bag is blue? (a) Meera (b) Myra (c) Arjun
  39. 39.In a group of 19 children, 8 sing Hindi songs, 9 sing English songs and 3 sing both. How many sing neither of the two?
  40. 40.The sum of three consecutive even numbers is 42. What is the smallest of them?

Answer key

  1. Yes
  2. liar
  3. 20
  4. Kabir
  5. 10
  6. 18
  7. 2
  8. must be false
  9. 33
  10. BPSK
  11. 40
  12. Saturday
  13. 5
  14. 82
  15. 20
  16. 2
  17. 89
  18. truth-teller
  19. 12
  20. 1
  21. H
  22. S
  23. 18
  24. North
  25. No
  26. 74
  27. South-East
  28. 160
  29. 1
  30. nephew
  31. cousin
  32. 10:50
  33. HKUJ
  34. 133
  35. can't tell
  36. grandfather
  37. 15
  38. Meera
  39. 5
  40. 12

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