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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 321 · 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 bags are balls. All balls are pens. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Which number is the odd one out: 41, 73, 19, 70? (a) 41 (b) 73 (c) 19 (d) 70
  3. 3.Which number is the odd one out: 96, 46, 72, 54? (a) 96 (b) 46 (c) 72 (d) 54
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 2 + 17 × 16?
  5. 5.Statements: No bells are rings. Some boxes are rings. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Yash is a boy. How is Yash’s sister’s son related to Yash? (a) son (b) brother (c) nephew (d) cousin
  7. 7.Nisha, Farhan and Ananya each play a different game: cricket, badminton or chess. Ananya does not play badminton. Nisha does not play badminton. Ananya does not play cricket. Which game does Nisha play? (a) cricket (b) badminton (c) chess
  8. 8.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 no painted face?
  9. 9.Zoya runs slower than Meera. Nisha runs slower than Zoya. Who runs the second slowest? (a) Nisha (b) Meera (c) Zoya
  10. 10.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rahul walks 9 m North, turns left and walks 3 m, then turns left again and walks 5 m. How far is he from the starting point now, in a straight line (in m)?
  12. 12.In a group of 50 children, 21 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  13. 13.If CAKE is written as EKAC, how is WIND written in the same code? (a) CMHV (b) XJOE (c) EOJX (d) DNIW
  14. 14.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav does not get a medal. What can you say about “Aarav wins the match”? (a) must be true (b) must be false (c) can't tell
  15. 15.Each person always tells the truth or always lies. Nisha says: “Kabir tells the truth.” Kabir says: “Ira and I both tell the truth.” Ira says: “At least one of us two, Nisha or I, is a liar.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
  16. 16.Aarav is shorter than Ira. Meera is taller than Ishaan. Ira is shorter than Ishaan. Who is the second shortest? (a) Ira (b) Aarav (c) Meera (d) Ishaan
  17. 17.Which capital letter looks exactly the same in a mirror? (a) E (b) A (c) G (d) D
  18. 18.If PARK is written as NYPI, how is PEN written in the same code? (a) RGP (b) ODM (c) MBK (d) NCL
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 16 − 18 ÷ 7?
  21. 21.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have at least one painted face?
  22. 22.Sneha, Aisha and Dev each have a bag of a different colour: red, green or blue. Dev’s bag is not green. Dev’s bag is not red. Aisha’s bag is not green. Whose bag is green? (a) Sneha (b) Aisha (c) Dev
  23. 23.Runs scored in a cricket match: Siddharth 12, Manav 53, Vivaan 52, Saanvi 10, Meera 13. How many more runs does Manav have than Siddharth?
  24. 24.Diya, Dev and Rohan each have a bag of a different colour: yellow, green or blue. Rohan’s bag is not green. Dev’s bag is not green. Dev’s bag is not yellow. Whose bag is yellow? (a) Diya (b) Dev (c) Rohan
  25. 25.I am a 2-digit number. My digits add up to 5 and my tens digit is 3 more than my ones digit. What number am I?
  26. 26.Which capital letter does NOT look the same in a mirror? (a) W (b) O (c) H (d) B
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 9 ÷ 20 + 9?
  28. 28.If LION is written as OPJM, how is MILK written in the same code? (a) LMJN (b) KLIM (c) JKHL (d) NJML
  29. 29.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya does not go to the park. What can you say about “Zoya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  30. 30.Statements: All cups are coins. All bags are cups. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Steps climbed in a minute: Ishaan 83, Myra 36, Saanvi 90, Omkar 57, Isha 80. What is the total for all five children?
  32. 32.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    25 | 10 | 13
    4 | 16 | 28
    ? | 22 | 7
  33. 33.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not finish the homework. What can you say about “Aisha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  34. 34.Two standard dice show 2 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
  35. 35.A clock shows 12:13. What time does it show in a mirror? (a) 11:47 (b) 12:13 (c) 10:47 (d) 12:47
  36. 36.Dev, Kabir and Arjun each play a different game: football, carrom or chess. Kabir does not play chess. Arjun does not play chess. Arjun does not play carrom. Which game does Kabir play? (a) football (b) carrom (c) chess
  37. 37.Today is Wednesday. What day of the week will it be 73 days from today? (a) Monday (b) Saturday (c) Friday (d) Sunday
  38. 38.Each person always tells the truth or always lies. Yash says: “At least one of us two, Zoya or I, is a liar.” Tara says: “At least one of us two, Zoya or I, is a liar.” Zoya says: “Yash and I both tell the truth.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
  39. 39.Which capital letter looks exactly the same in a mirror? (a) W (b) F (c) D (d) B
  40. 40.In a group of 38 children, 17 play cricket, 12 play football and 2 play both. How many play only football?

Answer key

  1. Yes
  2. 70
  3. 46
  4. 29
  5. No
  6. nephew
  7. cricket
  8. 8
  9. Zoya
  10. can't tell
  11. 5
  12. 15
  13. DNIW
  14. must be false
  15. liar
  16. Ira
  17. A
  18. NCL
  19. 90
  20. 122
  21. 26
  22. Sneha
  23. 41
  24. Rohan
  25. 41
  26. B
  27. 137
  28. LMJN
  29. must be false
  30. Yes
  31. 346
  32. 19
  33. can't tell
  34. 6
  35. 11:47
  36. carrom
  37. Saturday
  38. truth-teller
  39. W
  40. 10

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