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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 377 · 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.Isha, Pooja and Riya each play a different game: cricket, football or chess. Pooja does not play chess. Pooja does not play cricket. Isha does not play cricket. Who plays cricket? (a) Isha (b) Pooja (c) Riya
  2. 2.Statements: All kites are coins. All bags are kites. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Runs scored in a cricket match: Pooja 24, Meera 18, Aisha 47, Aditya 38, Kabir 27. What is the difference between the highest and the lowest?
  4. 4.In a group of 30 children, 11 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  5. 5.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  6. 6.Books read in the summer holidays: Rohan 27, Ishaan 29, Yash 21, Karan 14, Diya 17. How many children have more than 18 books?
  7. 7.Statements: No bags are pens. Some rings are pens. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 13 ÷ 11 + 2?
  9. 9.Arjun, Rahul and Meera each play a different game: cricket, chess or badminton. Arjun does not play badminton. Meera does not play badminton. Meera does not play chess. Who plays chess? (a) Arjun (b) Rahul (c) Meera
  10. 10.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra finishes the homework. What can you say about “Myra does not go to the park”? (a) must be true (b) must be false (c) can't tell
  11. 11.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have at least one painted face?
  12. 12.A clock shows 1:03. What time does it show in a mirror? (a) 11:57 (b) 10:57 (c) 11:03 (d) 9:57
  13. 13.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 2. What comes out after step 2?
  14. 14.Manav, Nisha and Myra each have a different pet: rabbit, dog or cat. Manav does not have the cat. Myra does not have the cat. Manav does not have the rabbit. Which pet does Nisha have? (a) rabbit (b) dog (c) cat
  15. 15.Each person always tells the truth or always lies. Saanvi says: “Priya is a liar.” Diya says: “Saanvi and I are different kinds.” Priya says: “At least one of us two, Diya or I, is a liar.” Is Priya a truth-teller or a liar? (a) truth-teller (b) liar
  16. 16.Statements: No boxes are pens. All boxes are cups. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Two standard dice show 1 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
  18. 18.Trees planted in a week: Priya 23, Ira 25, Nisha 19, Zoya 24, Diya 6. How many children have more than 23 trees?
  19. 19.If BOOK is written as LPPC, how is BALL written in the same code? (a) LLAB (b) KKZA (c) CBMM (d) MMBC
  20. 20.If SHIP is written as PIHS, how is DOG written in the same code? (a) GOD (b) EPH (c) FNC (d) HPE
  21. 21.Aisha walks 8 m North, then turns around and walks 3 m. How far is she from the starting point now (in m)?
  22. 22.Sneha is a girl. How is Sneha’s brother’s daughter related to Sneha? (a) daughter (b) niece (c) cousin (d) sister
  23. 23.Three friends (Arjun, Diya and Zoya) sit in a row. Left and right are as you look at them. Diya sits at the right end. Zoya does not sit at either end. Who sits just to the left of Diya? (a) Diya (b) Arjun (c) Zoya
  24. 24.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) G (b) U (c) O (d) R
  25. 25.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  26. 26.Runs scored in a cricket match: Vivaan 11, Pooja 17, Meera 9, Saanvi 34, Aarav 14. How many children have more than 13 runs?
  27. 27.In a group of 26 grown-ups, 20 drink tea, 10 drink coffee and 6 drink both. How many drink exactly one of the two?
  28. 28.Three friends (Omkar, Sneha and Yash) sit in a row. Left and right are as you look at them. Yash sits at the right end. Sneha sits at the left end. Who sits just to the left of Omkar? (a) Yash (b) Omkar (c) Sneha
  29. 29.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: 90 17 73 82 56 55. After step 3, what is the 6th number from the left?
  30. 30.If KITE is written as PRGV, how is BOAT written in the same code? (a) CPBU (b) ZMAH (c) XKYF (d) YLZG
  31. 31.Find the missing number. The same rule works in every row or in every column.
    9 | 3 | 4
    7 | 3 | 6
    ? | 7 | 5
  32. 32.Find the missing number. The same rule works in every row or in every column.
    2 | 11 | 13
    10 | ? | 20
    14 | 18 | 32
  33. 33.Statements: All boxes are keys. All boxes are bags. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Kavya walks 28 m North, turns left and walks 7 m, then turns left again and walks 4 m. How far is she from the starting point now, in a straight line (in m)?
  35. 35.Which capital letter looks exactly the same in a mirror? (a) J (b) T (c) L (d) R
  36. 36.Which number is the odd one out: 73, 15, 5, 75? (a) 73 (b) 15 (c) 5 (d) 75
  37. 37.Which number is the odd one out: 90, 6, 45, 27? (a) 90 (b) 6 (c) 45 (d) 27
  38. 38.Arjun, Myra and Aisha each have a different pet: cat, dog or tortoise. Aisha does not have the tortoise. Aisha does not have the dog. Arjun does not have the dog. Which pet does Arjun have? (a) cat (b) dog (c) tortoise
  39. 39.Two standard dice show 2 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
  40. 40.Statements: Some caps are keys. Some rings are keys. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Riya
  2. No
  3. 29
  4. 21
  5. must be false
  6. 3
  7. No
  8. 14
  9. Arjun
  10. must be false
  11. 56
  12. 10:57
  13. 6
  14. cat
  15. truth-teller
  16. No
  17. 8
  18. 2
  19. MMBC
  20. GOD
  21. 5
  22. niece
  23. Zoya
  24. O
  25. must be true
  26. 3
  27. 18
  28. Sneha
  29. 82
  30. YLZG
  31. 4
  32. 10
  33. Yes
  34. 25
  35. T
  36. 73
  37. 6
  38. tortoise
  39. 7
  40. No

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