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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 17 · 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.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 2 − 16 ÷ 15?
  2. 2.Which capital letter does NOT look the same in a mirror? (a) V (b) A (c) U (d) F
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 × 4 + 3 ÷ 14?
  4. 4.Meera is a girl. How is Meera’s brother’s son related to Meera? (a) son (b) cousin (c) nephew (d) brother
  5. 5.Vivaan walks 25 m North, turns right and walks 7 m, then turns right again and walks 1 m. How far is he from the starting point now, in a straight line (in m)?
  6. 6.I am a 2-digit number. My digits add up to 12. If you swap my two digits, the new number is 18 more than me. What number am I?
  7. 7.In a group of 45 children, 19 like mangoes, 21 like bananas and 7 like both. How many like exactly one of the two?
  8. 8.If GOLD is written as TLOW, how is BOAT written in the same code? (a) ZMAH (b) YLZG (c) CPBU (d) XKYF
  9. 9.Statements: All rings are pens. No pens are coins. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Which number is the odd one out: 14, 32, 16, 4? (a) 14 (b) 32 (c) 16 (d) 4
  11. 11.Find the missing number. The same rule works in every row or in every column.
    3 | 6 | 18
    2 | ? | 6
    4 | 9 | 36
  12. 12.Find the missing number. The same rule works in every row or in every column.
    7 | 4 | ?
    6 | 5 | 30
    8 | 6 | 48
  13. 13.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 11 | 18
    17 | 15 | 13
    12 | 19 | 14
  14. 14.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
  15. 15.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: 75 36 62 47 27 89. After step 4, what is the 5th number from the left?
  16. 16.I am a 2-digit number. My digits add up to 14. If you swap my two digits, the new number is 36 more than me. What number am I?
  17. 17.A clock shows 7:11. What time does it show in a mirror? (a) 5:11 (b) 4:49 (c) 3:49 (d) 5:49
  18. 18.Siddharth is a boy. How is Siddharth’s sister’s son related to Siddharth? (a) nephew (b) cousin (c) son (d) brother
  19. 19.If PARK is written as OZQJ, how is WIND written in the same code? (a) VHMC (b) UGLB (c) XJOE (d) WIND
  20. 20.Statements: All shoes are keys. Some cups are shoes. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Dev is a boy. How is Dev’s father’s only son’s sister related to Dev? (a) mother (b) cousin (c) aunt (d) sister
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 8 + 19 ÷ 7?
  23. 23.Statements: No coins are toys. All bags are coins. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Find the missing number. The same rule works in every row or in every column.
    9 | ? | 20
    25 | 3 | 2
    4 | 20 | 6
  25. 25.1 January 2036 is a Tuesday. What day of the week is 29 November 2036? (a) Sunday (b) Monday (c) Saturday (d) Friday
  26. 26.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara finishes the homework. What can you say about “Tara does not go to the park”? (a) must be true (b) must be false (c) can't tell
  27. 27.Three friends (Ananya, Kavya and Saanvi) sit in a row. Left and right are as you look at them. Kavya sits at the left end. Ananya sits just to the right of Saanvi. Who sits at the right end? (a) Kavya (b) Ananya (c) Saanvi
  28. 28.Yash is a boy. How is Yash’s daughter’s husband related to Yash? (a) brother-in-law (b) son-in-law (c) son (d) nephew
  29. 29.Riya, Aisha and Ira each have a bag of a different colour: green, red or yellow. Aisha’s bag is not green. Ira’s bag is not yellow. Aisha’s bag is not red. Ira’s bag is not green. Whose bag is yellow? (a) Riya (b) Aisha (c) Ira
  30. 30.A clock shows 10:22. What time will it show 33 minutes later? (a) 10:45 (b) 11:05 (c) 11:55 (d) 10:55
  31. 31.Siddharth, Riya and Aarav each play a different game: badminton, football or chess. Aarav does not play chess. Riya does not play chess. Riya does not play football. Which game does Siddharth play? (a) badminton (b) football (c) chess
  32. 32.Each person always tells the truth or always lies. Priya says: “Omkar and I are the same kind.” Omkar says: “Priya and I both tell the truth.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
  33. 33.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    7 | 8 | 3
    ? | 6 | 10
    9 | 4 | 5
  34. 34.Each person always tells the truth or always lies. Meera says: “Riya is a liar.” Riya says: “Yash and I both tell the truth.” Yash says: “Meera tells the truth.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 4 ÷ 14 + 4?
  36. 36.Which number is the odd one out: 24, 8, 96, 13? (a) 24 (b) 8 (c) 96 (d) 13
  37. 37.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) L (b) V (c) D (d) U
  38. 38.In a group of 38 children, 21 play chess, 14 play carrom and 4 play both. How many play at least one of the two?
  39. 39.A clock shows 8:37. What time does it show in a mirror? (a) 3:23 (b) 2:23 (c) 4:37 (d) 4:23
  40. 40.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: 12 61 44 26 97 30. After step 2, what is the 1st number from the left?

Answer key

  1. 19
  2. F
  3. 12
  4. nephew
  5. 25
  6. 57
  7. 26
  8. YLZG
  9. Yes
  10. 14
  11. 3
  12. 28
  13. 16
  14. must be true
  15. 75
  16. 59
  17. 4:49
  18. nephew
  19. VHMC
  20. No
  21. sister
  22. 147
  23. Yes
  24. 1
  25. Saturday
  26. must be false
  27. Ananya
  28. son-in-law
  29. Aisha
  30. 10:55
  31. chess
  32. truth-teller
  33. 2
  34. truth-teller
  35. 69
  36. 13
  37. D
  38. 31
  39. 3:23
  40. 97

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