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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 873 · 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.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 4 ÷ 10 × 10?
  2. 2.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: 23 54 24 95 10 19. After step 2, what is the 3rd number from the left?
  3. 3.If TREE is written as FFSU, how is DRUM written in the same code? (a) ESVN (b) LTQC (c) NVSE (d) MURD
  4. 4.Rohan, Dev and Arjun each have a different pet: parrot, rabbit or dog. Rohan does not have the dog. Rohan does not have the parrot. Dev does not have the dog. Which pet does Rohan have? (a) parrot (b) rabbit (c) dog
  5. 5.Books read in the summer holidays: Aisha 20, Yash 7, Omkar 28, Zoya 11, Farhan 6. Who has the most books? (a) Yash (b) Omkar (c) Farhan (d) Zoya
  6. 6.Statements: All shoes are boxes. No boxes are pens. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Kavya is a girl. How is Kavya’s brother’s son related to Kavya? (a) son (b) cousin (c) nephew (d) brother
  8. 8.Yash is taller than Pooja. Karan is taller than Yash. Who is the shortest? (a) Pooja (b) Yash (c) Karan
  9. 9.Today is Sunday. What day of the week will it be 93 days from today? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
  10. 10.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
  11. 11.Which number is the odd one out: 48, 47, 2, 79? (a) 48 (b) 47 (c) 2 (d) 79
  12. 12.If MOON is written as NOOM, how is TREE written in the same code? (a) FFSU (b) USFF (c) DDQS (d) EERT
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  14. 14.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 9. What comes out after step 3?
  15. 15.Manav walks 8 km West, then turns right and walks 6 km. How far is he from the starting point now, in a straight line (in km)?
  16. 16.I am a 2-digit number. My digits add up to 7 and my tens digit is 7 more than my ones digit. What number am I?
  17. 17.Three friends (Kavya, Pooja and Priya) sit in a row. Left and right are as you look at them. Kavya sits somewhere to the left of Priya. Pooja sits just to the right of Kavya. Who sits in the middle? (a) Pooja (b) Kavya (c) Priya
  18. 18.Books read in the summer holidays: Dev 24, Tara 5, Ishaan 22, Neel 16, Kabir 14. What is the total for all five children?
  19. 19.In a group of 38 children, 22 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  20. 20.Each person always tells the truth or always lies. Yash says: “At least one of us two, Aisha or I, is a liar.” Aisha says: “Yash is a liar.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
  21. 21.If PEN is written as RGP, how is LION written in the same code? (a) JGML (b) NKQP (c) OLRQ (d) MJPO
  22. 22.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
  23. 23.Find the missing number. The same rule works in every row or in every column.
    3 | 1 | 4
    ? | 8 | 13
    11 | 4 | 15
  24. 24.Pooja is younger than Zoya. Pooja is older than Riya. Who is the oldest? (a) Riya (b) Zoya (c) Pooja
  25. 25.Sneha, Yash and Priya each have a bag of a different colour: red, green or white. Sneha’s bag is not green. Priya’s bag is not green. Sneha’s bag is not red. Whose bag is white? (a) Sneha (b) Yash (c) Priya
  26. 26.Each person always tells the truth or always lies. Aarav says: “Ishaan and I are the same kind.” Pooja says: “Aarav and I are the same kind.” Ishaan says: “Pooja and I both tell the truth.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
  27. 27.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not stay green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  28. 28.If MILK is written as KLIM, how is LAMP written in the same code? (a) MBNQ (b) PMAL (c) OLZK (d) QNBM
  29. 29.Each person always tells the truth or always lies. Kabir says: “Nisha and I are different kinds.” Nisha says: “Kabir is a liar.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
  30. 30.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 16 ÷ 19 − 4?
  32. 32.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
  33. 33.Which capital letter looks exactly the same in a mirror? (a) T (b) J (c) N (d) R
  34. 34.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
  35. 35.Which number is the odd one out: 92, 31, 37, 13? (a) 92 (b) 31 (c) 37 (d) 13
  36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 2 × 3 ÷ 2?
  37. 37.Ira runs slower than Karan. Kabir runs faster than Karan. Who runs the slowest? (a) Karan (b) Ira (c) Kabir
  38. 38.Find the missing number. The same rule works in every row or in every column.
    ? | 4 | 20
    8 | 6 | 48
    3 | 3 | 9
  39. 39.Marks in a maths test (out of 50): Karan 50, Pooja 36, Rohan 25, Rahul 39, Ananya 23. What is the total for all five children?
  40. 40.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 5. What comes out after step 2?

Answer key

  1. 27
  2. 23
  3. NVSE
  4. rabbit
  5. Omkar
  6. Yes
  7. nephew
  8. Pooja
  9. Tuesday
  10. must be true
  11. 48
  12. EERT
  13. 74
  14. 100
  15. 10
  16. 70
  17. Pooja
  18. 81
  19. 23
  20. truth-teller
  21. NKQP
  22. 6
  23. 5
  24. Zoya
  25. Sneha
  26. truth-teller
  27. must be false
  28. PMAL
  29. liar
  30. must be true
  31. 78
  32. must be false
  33. T
  34. 4
  35. 92
  36. 15
  37. Ira
  38. 5
  39. 173
  40. 57

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