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Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 478 · 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.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have exactly three painted faces?
  2. 2.Three friends (Manav, Saanvi and Zoya) sit in a row. Left and right are as you look at them. Manav sits somewhere to the left of Saanvi. Saanvi sits at the right end. Zoya does not sit at either end. Who sits at the left end? (a) Zoya (b) Saanvi (c) Manav
  3. 3.Which capital letter looks exactly the same in a mirror? (a) N (b) P (c) K (d) H
  4. 4.Each person always tells the truth or always lies. Kavya says: “Ishaan and I both tell the truth.” Ishaan says: “Kavya is a liar.” Ira says: “Kavya is a liar.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
  5. 5.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    6 | 11 | 4
    ? | 7 | 9
    10 | 3 | 8
  6. 6.Karan runs slower than Priya. Karan runs faster than Dev. Who runs the slowest? (a) Priya (b) Karan (c) Dev
  7. 7.22 January is a Monday. What day of the week is 22 February of the same year? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  8. 8.Each person always tells the truth or always lies. Zoya says: “Nisha and I are different kinds.” Omkar says: “Zoya and I are the same kind.” Nisha says: “Omkar and I are different kinds.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
  9. 9.Each person always tells the truth or always lies. Sneha says: “At least one of us two, Ishaan or I, is a liar.” Ishaan says: “Sneha is a liar.” Is Sneha a truth-teller or a liar? (a) truth-teller (b) liar
  10. 10.Aditya, Neel and Rahul each have a bag of a different colour: green, white or blue. Neel’s bag is not white. Aditya’s bag is not green. Rahul’s bag is not white. Rahul’s bag is not green. Whose bag is green? (a) Aditya (b) Neel (c) Rahul
  11. 11.Statements: All bags are books. Some coins are books. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.I am a 2-digit number. My digits add up to 8. If you swap my two digits, the new number is 36 more than me. What number am I?
  13. 13.Nisha is a girl. How is Nisha’s son’s wife related to Nisha? (a) daughter (b) niece (c) sister-in-law (d) daughter-in-law
  14. 14.Which number is the odd one out: 79, 7, 97, 21? (a) 79 (b) 7 (c) 97 (d) 21
  15. 15.Myra runs faster than Vivaan. Kavya runs faster than Myra. Yash runs slower than Vivaan. Who runs the fastest? (a) Kavya (b) Vivaan (c) Yash (d) Myra
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 5 − 7 ÷ 5?
  17. 17.Find the missing number. The same rule works in every row or in every column.
    15 | 7 | 12
    16 | 6 | ?
    31 | 13 | 31
  18. 18.Find the missing number. The same rule works in every row or in every column.
    19 | 14 | ?
    2 | 3 | 5
    1 | 10 | 11
  19. 19.4 May is a Tuesday. What day of the week is 4 June of the same year? (a) Friday (b) Sunday (c) Thursday (d) Saturday
  20. 20.Three friends (Aarav, Omkar and Sneha) sit in a row. Left and right are as you look at them. Omkar sits next to both Aarav and Sneha. Sneha sits just to the right of Omkar. Who sits at the right end? (a) Omkar (b) Sneha (c) Aarav
  21. 21.Sneha is a girl. How is Sneha’s father’s sister’s husband related to Sneha? (a) father (b) uncle (c) brother-in-law (d) grandfather
  22. 22.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) T (b) M (c) Z (d) B
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 6 ÷ 10 × 15?
  24. 24.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 3. What comes out after step 2?
  25. 25.Three friends (Ananya, Dev and Diya) sit in a row. Left and right are as you look at them. Dev sits at the right end. Diya sits at the left end. Who sits just to the right of Ananya? (a) Diya (b) Dev (c) Ananya
  26. 26.I am a 2-digit number. My digits add up to 6. If you swap my two digits, the new number is 18 more than me. What number am I?
  27. 27.A clock shows 6:38. What time does it show in a mirror? (a) 5:22 (b) 6:22 (c) 6:38 (d) 4:22
  28. 28.Rule: If the shop is open, then Meera buys milk. Fact: Meera buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  29. 29.Today is Wednesday. What day of the week will it be 16 days from today? (a) Saturday (b) Friday (c) Thursday (d) Sunday
  30. 30.I am a 2-digit number. My digits add up to 11 and my tens digit is 5 more than my ones digit. What number am I?
  31. 31.I am a 2-digit number. My digits add up to 12. If you swap my two digits, the new number is 18 more than me. What number am I?
  32. 32.Is 2100 a leap year? (a) Yes (b) No
  33. 33.In a group of 33 children, 20 play cricket, 17 play football and 8 play both. How many play exactly one of the two?
  34. 34.If TOYS is written as UPZT, how is FROG written in the same code? (a) HPSG (b) EQNF (c) GSPH (d) HTQI
  35. 35.Ira runs slower than Yash. Ira runs faster than Diya. Who runs the fastest? (a) Diya (b) Ira (c) Yash
  36. 36.Nisha is a girl. How is Nisha’s brother’s daughter related to Nisha? (a) daughter (b) cousin (c) sister (d) niece
  37. 37.Statements: Some books are toys. All pens are books. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Today is Monday. What day of the week will it be 55 days from today? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
  39. 39.Marks in a maths test (out of 50): Kavya 41, Karan 29, Arjun 44, Vivaan 43, Saanvi 30. What is the difference between the highest and the lowest?
  40. 40.Which capital letter does NOT look the same in a mirror? (a) M (b) S (c) W (d) V

Answer key

  1. 8
  2. Manav
  3. H
  4. truth-teller
  5. 5
  6. Dev
  7. Thursday
  8. liar
  9. truth-teller
  10. Neel
  11. No
  12. 26
  13. daughter-in-law
  14. 21
  15. Kavya
  16. 27
  17. 19
  18. 33
  19. Friday
  20. Sneha
  21. uncle
  22. B
  23. 14
  24. 27
  25. Dev
  26. 24
  27. 5:22
  28. can't tell
  29. Friday
  30. 83
  31. 57
  32. No
  33. 21
  34. GSPH
  35. Yash
  36. niece
  37. No
  38. Sunday
  39. 15
  40. S

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