Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 221 · 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. Nisha says: “Yash and I both tell the truth.” Yash says: “Nisha is a liar.” Vivaan says: “Nisha tells the truth.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.Each person always tells the truth or always lies. Ishaan says: “Zoya tells the truth.” Zoya says: “At least one of us two, Aarav or I, is a liar.” Aarav says: “Ishaan is a liar.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
3. 3.Each person always tells the truth or always lies. Vivaan says: “Manav and I are the same kind.” Manav says: “Vivaan tells the truth.” Rahul says: “Vivaan is a liar.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
4. 4.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 7. What comes out after step 2?
5. 5.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 7. What comes out after step 2?
6. 6.In a group of 44 children, 21 sing Hindi songs, 19 sing English songs and 9 sing both. How many sing only English songs?
7. 7.Saanvi is a girl. How is Saanvi’s father’s father’s only son’s son related to Saanvi? (a) uncle (b) cousin (c) father (d) brother
8. 8.Which number is the odd one out: 13, 53, 71, 87? (a) 13 (b) 53 (c) 71 (d) 87
9. 9.Five friends (Aisha, Farhan, Pooja, Siddharth and Yash) sit in a row. Left and right are as you look at them. Siddharth does not sit at either end. Farhan sits somewhere to the left of Yash. Farhan sits somewhere to the left of Aisha. Siddharth sits somewhere to the left of Yash. Pooja sits somewhere to the left of Aisha. Siddharth sits next to both Pooja and Aisha. Who sits just to the right of Aisha? (a) Aisha (b) Pooja (c) Yash (d) Farhan
10. 10.Books read in the summer holidays: Tara 7, Neel 23, Ishaan 20, Omkar 24, Diya 30. Who has the fewest books? (a) Ishaan (b) Omkar (c) Tara (d) Neel
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 7 ÷ 11 − 10?
12. 12.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: 10 73 46 78 83 87. After step 2, what is the 4th number from the left?
13. 13.I am a 2-digit number. My digits add up to 15. If you swap my two digits, the new number is 9 more than me. What number am I?
14. 14.Which capital letter does NOT look the same in a mirror? (a) G (b) X (c) Y (d) W
15. 15.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 3. What comes out after step 2?
16. 16.Statements: All bells are bags. All coins are bells. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
17. 17.Statements: No books are caps. All books are bags. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
18. 18.A clock shows 2:01. What time will it show 85 minutes later? (a) 3:26 (b) 4:26 (c) 3:36 (d) 3:16
19. 19.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: 26 60 54 15 20 11. After step 2, what is the 2nd number from the left?
20. 20.The sum of three consecutive numbers is 42. What is the largest of them?
21. 21.Siddharth walks 21 m North, then turns around and walks 7 m. How far is he from the starting point now (in m)?
22. 22.If BELL is written as LLEB, how is GOLD written in the same code? (a) HPME (b) DLOG (c) CKNF (d) EMPH
23. 23.Find the missing number. The same rule works in every row or in every column.
    7 | 19 | 7
    18 | ? | 15
    25 | 34 | 22
24. 24.Four friends (Dev, Farhan, Vivaan and Yash) sit in a row. Left and right are as you look at them. Farhan sits somewhere to the left of Vivaan. Farhan does not sit at either end. Yash sits somewhere to the left of Vivaan. Dev sits next to both Farhan and Vivaan. Who sits at the right end? (a) Farhan (b) Vivaan (c) Dev (d) Yash
25. 25.Is 1700 a leap year? (a) Yes (b) No
26. 26.A clock shows 5:46. What time will it show 146 minutes later? (a) 9:12 (b) 8:02 (c) 8:12 (d) 8:22
27. 27.Priya is facing East. She turns right, then turns left, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
28. 28.Find the missing number. The same rule works in every row or in every column.
    22 | 1 | 4
    12 | 12 | ?
    5 | 15 | 7
29. 29.Omkar walks 26 m North, then turns around and walks 24 m. How far is he from the starting point now (in m)?
30. 30.Each person always tells the truth or always lies. Aditya says: “Karan is a liar.” Karan says: “Aditya and I both tell the truth.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.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 stop”? (a) must be true (b) must be false (c) can't tell
32. 32.Ishaan walks 7 m South, then turns left and walks 13 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
33. 33.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
34. 34.Ananya is lighter than Ishaan. Diya is lighter than Ananya. Who is the heaviest? (a) Ananya (b) Diya (c) Ishaan
35. 35.How many degrees does the minute hand of a clock turn in 38 minutes? =
36. 36.A clock shows 6:32. What time will it show 14 minutes later? (a) 6:36 (b) 7:46 (c) 6:56 (d) 6:46
37. 37.In a group of 37 children, 23 like mangoes, 14 like bananas and 3 like both. How many like only mangoes?
38. 38.Rahul is lighter than Meera. Rahul is heavier than Ishaan. Who is the second lightest? (a) Ishaan (b) Meera (c) Rahul
39. 39.Four friends (Isha, Kavya, Omkar and Pooja) sit in a row. Left and right are as you look at them. Isha sits next to both Kavya and Pooja. Omkar sits just to the right of Pooja. Who sits at the left end? (a) Omkar (b) Isha (c) Pooja (d) Kavya
40. 40.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: 66 86 78 23 25 92. After step 3, what is the 1st number from the left?

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