Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 403 · 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.Find the missing number. The same rule works in every row or in every column.
   1 | ? | 12
   4 | 6 | 10
   7 | 5 | 12
2. 2.Isha, Neel and Kavya each have a bag of a different colour: yellow, green or blue. Neel’s bag is not blue. Isha’s bag is not green. Neel’s bag is not yellow. Kavya’s bag is not blue. What colour is Neel’s bag? (a) yellow (b) green (c) blue
3. 3.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 65 96 53 31 73 57. After step 3, what is the 2nd number from the left?
4. 4.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
5. 5.Statements: No bells are rings. No caps are rings. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
6. 6.Yash, Myra and Rohan each have a bag of a different colour: green, yellow or red. Yash’s bag is not yellow. Myra’s bag is not yellow. Myra’s bag is not green. What colour is Rohan’s bag? (a) green (b) yellow (c) red
7. 7.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: 46 87 41 62 10 88. After step 4, what is the 2nd number from the left?
8. 8.Meera is facing West. She turns right, then turns left, then turns left, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
9. 9.I am a 2-digit number. My digits add up to 5. If you swap my two digits, the new number is 9 more than me. What number am I?
10. 10.Kabir, Siddharth and Aditya each have a different pet: rabbit, dog or cat. Aditya does not have the cat. Siddharth does not have the cat. Aditya does not have the rabbit. Who has the rabbit? (a) Kabir (b) Siddharth (c) Aditya
11. 11.Arjun is heavier than Zoya. Arjun is lighter than Vivaan. Vivaan is lighter than Pooja. Who is the second lightest? (a) Pooja (b) Arjun (c) Vivaan (d) Zoya
12. 12.Each person always tells the truth or always lies. Riya says: “Meera is a liar.” Isha says: “Meera and I are different kinds.” Meera says: “Isha is a liar.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.Rohan walks 11 m North, then turns around and walks 8 m. How far is he from the starting point now (in m)?
14. 14.Statements: No bags are balls. Some balls are pens. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.Omkar is taller than Isha. Diya is shorter than Nisha. Diya is taller than Omkar. Who is the second shortest? (a) Omkar (b) Diya (c) Isha (d) Nisha
16. 16.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya does not go to the park. What can you say about “Riya finishes the homework”? (a) must be true (b) must be false (c) can't tell
17. 17.Arjun, Dev and Manav each have a bag of a different colour: green, red or yellow. Arjun’s bag is not red. Manav’s bag is not red. Manav’s bag is not green. Whose bag is red? (a) Arjun (b) Dev (c) Manav
18. 18.Five friends (Kavya, Neel, Nisha, Rahul and Saanvi) sit in a row. Left and right are as you look at them. Saanvi sits just to the right of Nisha. Nisha sits next to both Neel and Saanvi. Neel sits next to both Kavya and Nisha. Saanvi sits at the right end. Who sits just to the right of Rahul? (a) Saanvi (b) Nisha (c) Rahul (d) Kavya
19. 19.Ishaan is a boy. How is Ishaan’s mother’s father related to Ishaan? (a) uncle (b) grandson (c) grandfather (d) father
20. 20.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) I (b) M (c) V (d) A
21. 21.Rahul is facing South. He turns right, then turns left, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
22. 22.Nisha, Myra and Yash each play a different game: badminton, chess or cricket. Myra does not play badminton. Myra does not play cricket. Yash does not play badminton. Who plays badminton? (a) Nisha (b) Myra (c) Yash
23. 23.Which number is the odd one out: 13, 95, 83, 73? (a) 13 (b) 95 (c) 83 (d) 73
24. 24.Aarav is facing North. He turns right, then turns right, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
25. 25.Books read in the summer holidays: Karan 25, Riya 17, Neel 28, Siddharth 3, Ananya 7. What is the total for all five children?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 11 + 2 × 10?
27. 27.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 51 10 31 64 30 74. After step 3, what is the 2nd number from the left?
28. 28.Which number is the odd one out: 23, 11, 59, 76? (a) 23 (b) 11 (c) 59 (d) 76
29. 29.Yash is a boy. How is Yash’s daughter’s husband related to Yash? (a) son-in-law (b) nephew (c) brother-in-law (d) son
30. 30.A clock shows 4:51. What time will it show 33 minutes later? (a) 5:24 (b) 5:14 (c) 5:34 (d) 6:24
31. 31.Find the missing number. The same rule works in every row or in every column.
    ? | 11 | 4
    3 | 7 | 6
    4 | 1 | 11
32. 32.Each person always tells the truth or always lies. Rahul says: “Zoya and I are different kinds.” Zoya says: “Rahul and I are different kinds.” Riya says: “Zoya tells the truth.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar
33. 33.Aisha is older than Zoya. Ananya is younger than Sneha. Ananya is older than Aisha. Who is the youngest? (a) Aisha (b) Sneha (c) Zoya (d) Ananya
34. 34.In a group of 30 children, 22 like mangoes, 11 like bananas and 4 like both. How many like exactly one of the two?
35. 35.If KITE is written as PRGV, how is SHIP written in the same code? (a) ITSL (b) HSRK (c) TIJQ (d) GRQJ
36. 36.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?
37. 37.Yash is taller than Rahul. Dev is shorter than Rahul. Yash is shorter than Myra. Who is the tallest? (a) Yash (b) Rahul (c) Dev (d) Myra
38. 38.Nisha walks 9 m North, turns left and walks 8 m, then turns left again and walks 3 m. How far is she from the starting point now, in a straight line (in m)?
39. 39.Kites flown at Makar Sankranti: Yash 20, Farhan 18, Meera 3, Rohan 5, Karan 4. How many more kites does Yash have than Rohan?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 5 + 9 × 3?

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