Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 488 · 40 questions

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.

1. 1.Each person always tells the truth or always lies. Neel says: “At least one of us two, Isha or I, is a liar.” Diya says: “Neel is a liar.” Isha says: “Neel and I are the same kind.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.Statements: Some pens are caps. Some pens are keys. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.Which capital letter does NOT look the same in a mirror? (a) J (b) I (c) O (d) U
4. 4.Find the missing number. The same rule works in every row or in every column.
   5 | 2 | 10
   6 | 7 | 42
   ? | 6 | 30
5. 5.Trees planted in a week: Yash 16, Arjun 9, Priya 7, Meera 14, Nisha 20. What is the difference between the highest and the lowest?
6. 6.Myra is heavier than Farhan. Farhan is heavier than Aarav. Who is the second lightest? (a) Myra (b) Aarav (c) Farhan
7. 7.If BOAT is written as ERDW, how is TREE written in the same code? (a) VTGG (b) XVII (c) WUHH (d) QOBB
8. 8.Trees planted in a week: Aarav 30, Dev 29, Arjun 7, Rohan 11, Farhan 5. What is the difference between the highest and the lowest?
9. 9.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly three painted faces?
10. 10.Farhan is a boy. How is Farhan’s son’s son related to Farhan? (a) brother (b) son (c) grandson (d) nephew
11. 11.Rahul, Ira and Isha each have a different pet: rabbit, tortoise or dog. Rahul does not have the rabbit. Rahul does not have the dog. Isha does not have the dog. Who has the rabbit? (a) Rahul (b) Ira (c) Isha
12. 12.Find the missing number. The same rule works in every row or in every column.
    8 | 9 | 17
    15 | 20 | ?
    10 | 5 | 15
13. 13.Is 2000 a leap year? (a) Yes (b) No
14. 14.Riya is taller than Siddharth. Riya is shorter than Yash. Who is the shortest? (a) Yash (b) Riya (c) Siddharth
15. 15.Aisha, Nisha and Ananya each have a bag of a different colour: red, white or yellow. Nisha’s bag is not red. Ananya’s bag is not yellow. Nisha’s bag is not white. Ananya’s bag is not red. Whose bag is white? (a) Aisha (b) Nisha (c) Ananya
16. 16.1 January 2023 is a Sunday. What day of the week is 3 September 2023? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
17. 17.Myra, Zoya and Ira each have a different pet: rabbit, tortoise or cat. Ira does not have the rabbit. Zoya does not have the tortoise. Ira does not have the cat. Zoya does not have the cat. Which pet does Ira have? (a) rabbit (b) tortoise (c) cat
18. 18.Each person always tells the truth or always lies. Arjun says: “Nisha and I are the same kind.” Nisha says: “Arjun and I both tell the truth.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
19. 19.Saanvi walks 23 m South, turns right and walks 8 m, then turns right again and walks 8 m. How far is she from the starting point now, in a straight line (in m)?
20. 20.Statements: Some cups are bags. All bags are shoes. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
21. 21.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
22. 22.In a group of 42 children, 21 play chess, 17 play carrom and 11 play both. How many play only chess?
23. 23.Kabir, Farhan and Vivaan each have a bag of a different colour: white, red or yellow. Vivaan’s bag is not yellow. Kabir’s bag is not yellow. Kabir’s bag is not white. Whose bag is red? (a) Kabir (b) Farhan (c) Vivaan
24. 24.Statements: All books are shoes. Some cups are shoes. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
25. 25.I am a 2-digit number. My digits add up to 16. If you swap my two digits, the new number is 18 more than me. What number am I?
26. 26.Statements: Some boxes are bells. All boxes are toys. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
27. 27.I am a 2-digit number. My digits add up to 13 and my tens digit is 1 more than my ones digit. What number am I?
28. 28.If TREE is written as USFF, how is LAMP written in the same code? (a) QNBM (b) KZLO (c) MBNQ (d) NCOR
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 16 − 7 ÷ 11?
30. 30.Kabir is lighter than Ananya. Karan is heavier than Kavya. Ananya is lighter than Kavya. Who is the heaviest? (a) Kabir (b) Karan (c) Kavya (d) Ananya
31. 31.In a group of 56 children, 28 play cricket, 28 play football and 9 play both. How many play exactly one of the two?
32. 32.Sneha, Pooja and Kabir each have a different pet: cat, rabbit or dog. Kabir does not have the cat. Pooja does not have the rabbit. Sneha does not have the rabbit. Sneha does not have the dog. Which pet does Kabir have? (a) cat (b) rabbit (c) dog
33. 33.Find the missing number. The same rule works in every row or in every column.
    17 | 2 | 19
    4 | 9 | ?
    2 | 5 | 7
34. 34.Aarav walks 10 m West, then turns left and walks 2 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
35. 35.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
36. 36.Which number is the odd one out: 61, 41, 22, 17? (a) 61 (b) 41 (c) 22 (d) 17
37. 37.I am a 2-digit number. My digits add up to 11. If you swap my two digits, the new number is 45 more than me. What number am I?
38. 38.Which number is the odd one out: 84, 99, 63, 27? (a) 84 (b) 99 (c) 63 (d) 27
39. 39.Tara walks 18 m North, turns left and walks 16 m, then turns left again and walks 6 m. How far is she from the starting point now, in a straight line (in m)?
40. 40.Which capital letter does NOT look the same in a mirror? (a) W (b) V (c) A (d) K

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