Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 756 · 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.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
2. 2.In a group of 30 children, 11 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
3. 3.I am a 2-digit number. My digits add up to 17. If you swap my two digits, the new number is 9 more than me. What number am I?
4. 4.Three friends (Isha, Kavya and Priya) sit in a row. Left and right are as you look at them. Isha sits just to the right of Priya. Kavya sits just to the right of Isha. Who sits at the right end? (a) Isha (b) Priya (c) Kavya
5. 5.Which number is the odd one out: 70, 35, 14, 61? (a) 70 (b) 35 (c) 14 (d) 61
6. 6.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) F (b) I (c) A (d) Y
7. 7.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
8. 8.Aarav is facing West. He turns left, then turns around (a half turn). Which direction is he facing now? (a) North (b) East (c) South (d) West
9. 9.In a group of 43 children, 18 enjoy drawing, 19 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
10. 10.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?
11. 11.Five friends (Kavya, Rohan, Siddharth, Vivaan and Zoya) sit in a row. Left and right are as you look at them. Kavya does not sit at either end. Kavya sits next to both Zoya and Vivaan. Zoya sits at the left end. Rohan does not sit at either end. Who sits just to the left of Rohan? (a) Siddharth (b) Kavya (c) Rohan (d) Vivaan
12. 12.Each person always tells the truth or always lies. Ishaan says: “Meera and I are the same kind.” Meera says: “At least one of us two, Ishaan or I, is a liar.” Is Meera a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.I am a 2-digit number. My digits add up to 13. If you swap my two digits, the new number is 27 more than me. What number am I?
14. 14.Statements: All balls are shoes. Some bags are shoes. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.Aarav is lighter than Ananya. Nisha is heavier than Ananya. Who is the second lightest? (a) Aarav (b) Ananya (c) Nisha
16. 16.Each person always tells the truth or always lies. Farhan says: “Omkar tells the truth.” Dev says: “At least one of us two, Farhan or I, is a liar.” Omkar says: “Dev is a liar.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
18. 18.In a group of 33 children, 9 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
19. 19.Rule: If the shop is open, then Meera buys milk. Fact: Meera buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
20. 20.Which number is the odd one out: 41, 17, 31, 87? (a) 41 (b) 17 (c) 31 (d) 87
21. 21.Steps climbed in a minute: Aisha 55, Zoya 58, Ananya 42, Siddharth 72, Priya 87. How many more steps does Zoya have than Aisha?
22. 22.Each person always tells the truth or always lies. Tara says: “Priya and I are the same kind.” Priya says: “Tara and I both tell the truth.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
23. 23.Aarav is shorter than Sneha. Yash is taller than Sneha. Who is the second shortest? (a) Yash (b) Sneha (c) Aarav
24. 24.In a group of 38 grown-ups, 14 drink tea, 18 drink coffee and 2 drink both. How many drink neither of the two?
25. 25.Which number is the odd one out: 3, 79, 36, 29? (a) 3 (b) 79 (c) 36 (d) 29
26. 26.Marks in a maths test (out of 50): Nisha 38, Siddharth 33, Rohan 16, Ishaan 48, Kavya 19. How many children have more than 23 marks?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 10 × 16 ÷ 4?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 10 + 2 − 2?
29. 29.I am a 2-digit number. My digits add up to 17 and my tens digit is 1 more than my ones digit. What number am I?
30. 30.Aditya is taller than Dev. Dev is taller than Omkar. Omkar is taller than Nisha. Who is the second shortest? (a) Omkar (b) Nisha (c) Aditya (d) Dev
31. 31.I am a 2-digit number. My digits add up to 12. If you swap my two digits, the new number is 54 more than me. What number am I?
32. 32.Tara walks 16 m East, then turns around and walks 5 m. How far is she from the starting point now (in m)?
33. 33.Each person always tells the truth or always lies. Sneha says: “Karan is a liar.” Arjun says: “Karan tells the truth.” Karan says: “Sneha and I are different kinds.” Is Sneha a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.Meera walks 23 m North, turns left and walks 12 m, then turns left again and walks 7 m. How far is she from the starting point now, in a straight line (in m)?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 19 − 19 + 15?
36. 36.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly two painted faces?
37. 37.Yash, Dev and Aarav each have a different pet: parrot, cat or rabbit. Aarav does not have the cat. Dev does not have the parrot. Aarav does not have the rabbit. Dev does not have the rabbit. Which pet does Yash have? (a) parrot (b) cat (c) rabbit
38. 38.Trees planted in a week: Omkar 10, Ira 40, Nisha 19, Yash 38, Rohan 17. Who has the most trees? (a) Rohan (b) Omkar (c) Ira (d) Yash
39. 39.Siddharth, Neel and Ananya each play a different game: badminton, chess or carrom. Siddharth does not play carrom. Neel does not play badminton. Ananya does not play carrom. Ananya does not play chess. Who plays carrom? (a) Siddharth (b) Neel (c) Ananya
40. 40.Which capital letter does NOT look the same in a mirror? (a) P (b) W (c) V (d) T

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