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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 379 · 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.In a group of 50 children, 29 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  2. 2.Statements: All cups are bells. Some kites are cups. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha wins the match. What can you say about “Sneha does not get a medal”? (a) must be true (b) must be false (c) can't tell
  4. 4.Today is Wednesday. What day of the week will it be 95 days from today? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
  5. 5.1 January 2005 is a Saturday. What day of the week is 16 November 2005? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  6. 6.Each person always tells the truth or always lies. Rahul says: “At least one of us two, Manav or I, is a liar.” Isha says: “Manav tells the truth.” Manav says: “Isha and I both tell the truth.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
  7. 7.Each person always tells the truth or always lies. Priya says: “Omkar and I are different kinds.” Omkar says: “Priya tells the truth.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
  8. 8.Aarav, Aditya and Rohan each have a different pet: dog, rabbit or cat. Aditya does not have the rabbit. Aarav does not have the cat. Rohan does not have the dog. Aarav does not have the rabbit. Which pet does Rohan have? (a) dog (b) rabbit (c) cat
  9. 9.Ishaan is heavier than Saanvi. Diya is lighter than Meera. Diya is heavier than Ishaan. Who is the second lightest? (a) Saanvi (b) Diya (c) Meera (d) Ishaan
  10. 10.The sum of three consecutive even numbers is 168. What is the largest of them?
  11. 11.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: 59 99 65 16 73 37. After step 2, what is the 2nd number from the left?
  12. 12.1 January 2018 is a Monday. What day of the week is 13 September 2018? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
  13. 13.Find the missing number. The same rule works in every row or in every column.
    3 | 3 | 9
    3 | 9 | 27
    8 | 6 | ?
  14. 14.Arjun is older than Riya. Arjun is younger than Ishaan. Yash is younger than Riya. Who is the second youngest? (a) Yash (b) Riya (c) Arjun (d) Ishaan
  15. 15.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
  16. 16.Isha is a girl. How is Isha’s mother’s mother related to Isha? (a) sister (b) mother (c) aunt (d) grandmother
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
  18. 18.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira wins the match. What can you say about “Ira does not get a medal”? (a) must be true (b) must be false (c) can't tell
  19. 19.Find the missing number. The same rule works in every row or in every column.
    ? | 13 | 26
    13 | 3 | 16
    17 | 20 | 37
  20. 20.The sum of three consecutive numbers is 120. What is the smallest of them?
  21. 21.If CAKE is written as XZPV, how is PARK written in the same code? (a) JYHO (b) KZIP (c) QBSL (d) LAJQ
  22. 22.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: 87 13 94 95 69 48. After step 2, what is the 3rd number from the left?
  23. 23.Statements: All bags are caps. All caps are balls. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Rule: If the shop is open, then Manav buys milk. Fact: Manav buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  25. 25.Today is Friday. What day of the week will it be 22 days from today? (a) Monday (b) Friday (c) Sunday (d) Saturday
  26. 26.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 4. What comes out after step 2?
  27. 27.In a group of 37 children, 15 enjoy drawing, 14 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  28. 28.A clock shows 7:20. What time does it show in a mirror? (a) 5:20 (b) 4:40 (c) 3:40 (d) 5:40
  29. 29.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
  30. 30.If COLD is written as FNQE, how is SHIP written in the same code? (a) PIHS (b) RKJU (c) NGFQ (d) UJKR
  31. 31.How many degrees does the minute hand of a clock turn in 11 minutes? =
  32. 32.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly one painted face?
  33. 33.Kites flown at Makar Sankranti: Nisha 19, Riya 3, Kabir 15, Vivaan 7, Aisha 5. Who has the fewest kites? (a) Nisha (b) Kabir (c) Riya (d) Vivaan
  34. 34.Which capital letter looks exactly the same in a mirror? (a) C (b) B (c) P (d) V
  35. 35.Four friends (Dev, Meera, Omkar and Sneha) sit in a row. Left and right are as you look at them. Dev sits somewhere to the left of Meera. Meera sits at the right end. Sneha does not sit at either end. Dev sits somewhere to the left of Sneha. Sneha sits just to the right of Omkar. Who sits at the left end? (a) Omkar (b) Sneha (c) Meera (d) Dev
  36. 36.Find the missing number. The same rule works in every row or in every column.
    7 | ? | 49
    6 | 6 | 36
    4 | 4 | 16
  37. 37.A clock shows 11:58. What time does it show in a mirror? (a) 1:58 (b) 12:02 (c) 11:02 (d) 1:02
  38. 38.Find the missing number. The same rule works in every row or in every column.
    2 | 2 | 4
    ? | 2 | 18
    3 | 3 | 9
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  40. 40.Which capital letter looks exactly the same in a mirror? (a) C (b) T (c) Z (d) B

Answer key

  1. 38
  2. No
  3. must be false
  4. Sunday
  5. Wednesday
  6. truth-teller
  7. liar
  8. rabbit
  9. Ishaan
  10. 58
  11. 37
  12. Thursday
  13. 48
  14. Riya
  15. 3
  16. grandmother
  17. 167.5
  18. must be false
  19. 13
  20. 39
  21. KZIP
  22. 87
  23. Yes
  24. can't tell
  25. Saturday
  26. 7
  27. 8
  28. 4:40
  29. 4
  30. RKJU
  31. 66
  32. 6
  33. Riya
  34. V
  35. Dev
  36. 7
  37. 12:02
  38. 9
  39. 66
  40. T

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