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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 820 · 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.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth wins the match. What can you say about “Siddharth does not get a medal”? (a) must be true (b) must be false (c) can't tell
  2. 2.Which capital letter does NOT look the same in a mirror? (a) H (b) V (c) I (d) C
  3. 3.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: 18 52 87 95 57 20. After step 2, what is the 1st number from the left?
  4. 4.Each person always tells the truth or always lies. Isha says: “Rahul and I are the same kind.” Rahul says: “Isha and I are different kinds.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
  5. 5.Runs scored in a cricket match: Farhan 11, Diya 7, Yash 26, Riya 45, Pooja 21. How many children have more than 7 runs?
  6. 6.Yash, Farhan and Sneha each play a different game: football, carrom or cricket. Farhan does not play carrom. Farhan does not play football. Sneha does not play carrom. Which game does Yash play? (a) football (b) carrom (c) cricket
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 16 + 5 × 3?
  8. 8.Ira, Kavya and Rahul each play a different game: chess, football or badminton. Kavya does not play chess. Ira does not play football. Ira does not play badminton. Rahul does not play badminton. Which game does Kavya play? (a) chess (b) football (c) badminton
  9. 9.Each person always tells the truth or always lies. Pooja says: “Ishaan and I both tell the truth.” Aarav says: “At least one of us two, Ishaan or I, is a liar.” Ishaan says: “Aarav and I both tell the truth.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
  10. 10.Statements: All toys are bags. No bags are pens. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Dev is younger than Isha. Dev is older than Karan. Who is the oldest? (a) Dev (b) Isha (c) Karan
  12. 12.Saanvi is a girl. How is Saanvi’s son’s son related to Saanvi? (a) grandson (b) brother (c) nephew (d) son
  13. 13.Which number is the odd one out: 37, 54, 71, 43? (a) 37 (b) 54 (c) 71 (d) 43
  14. 14.Isha walks 4 m South, then turns right and walks 7 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 7 ÷ 13 − 2?
  16. 16.If NEST is written as SRDM, how is HAND written in the same code? (a) EOBI (b) CMZG (c) GZMC (d) DNAH
  17. 17.Which number is the odd one out: 56, 16, 77, 4? (a) 56 (b) 16 (c) 77 (d) 4
  18. 18.Karan is a boy. How is Karan’s mother’s mother related to Karan? (a) sister (b) aunt (c) grandmother (d) mother
  19. 19.Priya walks 17 m West, turns right and walks 9 m, then turns right again and walks 5 m. How far is she from the starting point now, in a straight line (in m)?
  20. 20.Siddharth is facing North. He turns right, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
  21. 21.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) S (b) Q (c) K (d) A
  22. 22.Find the missing number. The same rule works in every row or in every column.
    ? | 4 | 6
    2 | 6 | 10
    15 | 10 | 16
  23. 23.Which capital letter does NOT look the same in a mirror? (a) O (b) M (c) W (d) S
  24. 24.Rule: If the shop is open, then Riya buys milk. Fact: The shop is open. What can you say about “Riya buys milk”? (a) must be true (b) must be false (c) can't tell
  25. 25.Three friends (Ira, Myra and Saanvi) sit in a row. Left and right are as you look at them. Myra sits next to both Saanvi and Ira. Saanvi sits somewhere to the left of Ira. Who sits at the right end? (a) Ira (b) Saanvi (c) Myra
  26. 26.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  27. 27.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?
  28. 28.How many degrees does the minute hand of a clock turn in 48 minutes? =
  29. 29.Manav is facing South. He turns around (a half turn), then turns right, then turns around (a half turn), then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
  30. 30.In a group of 51 children, 22 like mangoes, 21 like bananas and 7 like both. How many like only mangoes?
  31. 31.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  32. 32.In a group of 41 children, 20 like mangoes, 19 like bananas and 4 like both. How many like exactly one of the two?
  33. 33.Statements: All boxes are bags. All bags are books. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Each person always tells the truth or always lies. Vivaan says: “Arjun and I are the same kind.” Meera says: “At least one of us two, Vivaan or I, is a liar.” Arjun says: “Vivaan and I are different kinds.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
  35. 35.Find the missing number. The same rule works in every row or in every column.
    ? | 18 | 34
    13 | 5 | 18
    20 | 2 | 22
  36. 36.Aisha walks 19 m East, then turns around and walks 10 m. How far is she from the starting point now (in m)?
  37. 37.Five friends (Aditya, Ananya, Isha, Rohan and Tara) sit in a row. Left and right are as you look at them. Isha sits at the right end. Aditya sits next to both Rohan and Ananya. Ananya sits next to both Aditya and Tara. Aditya sits somewhere to the left of Tara. Who sits just to the left of Isha? (a) Rohan (b) Ananya (c) Tara (d) Aditya
  38. 38.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    25 | 11 | ?
    15 | 19 | 23
    17 | 27 | 13
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  40. 40.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?

Answer key

  1. must be false
  2. C
  3. 18
  4. truth-teller
  5. 4
  6. carrom
  7. 92
  8. badminton
  9. liar
  10. No
  11. Isha
  12. grandson
  13. 54
  14. South-West
  15. 34
  16. CMZG
  17. 77
  18. grandmother
  19. 15
  20. South
  21. K
  22. 13
  23. S
  24. must be true
  25. Ira
  26. can't tell
  27. 41
  28. 288
  29. North
  30. 15
  31. can't tell
  32. 31
  33. Yes
  34. liar
  35. 16
  36. 9
  37. Tara
  38. 21
  39. 31.5
  40. 3

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