Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 103 · 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.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: 67 25 12 85 48 99. After step 2, what is the 5th number from the left?
2. 2.Myra is taller than Ananya. Myra is shorter than Aarav. Ananya is taller than Dev. Who is the second shortest? (a) Aarav (b) Ananya (c) Dev (d) Myra
3. 3.Two standard dice show 6 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 7 + 7 ÷ 7 − 7?
5. 5.Each person always tells the truth or always lies. Yash says: “Isha is a liar.” Isha says: “Yash and I are the same kind.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.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: 92 35 13 25 94 48. After step 4, what is the 2nd number from the left?
7. 7.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 7. What comes out after step 3?
8. 8.Three friends (Dev, Neel and Omkar) sit in a row. Left and right are as you look at them. Omkar sits at the right end. Dev sits next to both Neel and Omkar. Who sits at the left end? (a) Dev (b) Neel (c) Omkar
9. 9.Find the missing number. The same rule works in every row or in every column.
   18 | 20 | 38
   ? | 10 | 26
   20 | 9 | 29
10. 10.How many degrees does the minute hand of a clock turn in 21 minutes? =
11. 11.Find the missing number. The same rule works in every row or in every column.
    4 | 6 | 24
    2 | 8 | 16
    ? | 8 | 32
12. 12.Find the missing number. The same rule works in every row or in every column.
    11 | 5 | ?
    13 | 2 | 15
    6 | 19 | 25
13. 13.Which number is the odd one out: 91, 35, 25, 49? (a) 91 (b) 35 (c) 25 (d) 49
14. 14.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: 95 21 69 25 11 14. After step 3, what is the 2nd number from the left?
15. 15.Find the missing number. The same rule works in every row or in every column.
    9 | 5 | 45
    2 | 9 | 18
    ? | 5 | 30
16. 16.Each person always tells the truth or always lies. Isha says: “Saanvi and I are the same kind.” Tara says: “Saanvi is a liar.” Saanvi says: “At least one of us two, Isha or I, is a liar.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.How many degrees does the hour hand of a clock turn in 50 minutes? =
18. 18.In a group of 29 grown-ups, 16 drink tea, 22 drink coffee and 11 drink both. How many drink exactly one of the two?
19. 19.Each person always tells the truth or always lies. Isha says: “At least one of us two, Rohan or I, is a liar.” Rohan says: “Kavya tells the truth.” Kavya says: “Rohan and I are different kinds.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
20. 20.A clock shows 3:00. What time will it show 96 minutes later? (a) 4:26 (b) 4:36 (c) 4:46 (d) 5:36
21. 21.Today is Wednesday. What day of the week will it be 92 days from today? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
22. 22.Rohan, Pooja and Nisha each have a bag of a different colour: yellow, green or red. Pooja’s bag is not green. Nisha’s bag is not green. Pooja’s bag is not red. What colour is Rohan’s bag? (a) yellow (b) green (c) red
23. 23.Four friends (Ishaan, Myra, Omkar and Sneha) sit in a row. Left and right are as you look at them. Sneha sits somewhere to the left of Omkar. Myra does not sit at either end. Sneha sits at the left end. Myra sits somewhere to the left of Ishaan. Ishaan sits just to the right of Omkar. Who sits just to the right of Sneha? (a) Myra (b) Ishaan (c) Omkar (d) Sneha
24. 24.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Z (b) P (c) D (d) S
25. 25.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: 61 68 82 76 83 57. After step 3, what is the 6th number from the left?
26. 26.Farhan is lighter than Manav. Farhan is heavier than Kavya. Who is the second lightest? (a) Kavya (b) Farhan (c) Manav
27. 27.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
28. 28.Farhan is a boy. How is Farhan’s sister’s son related to Farhan? (a) cousin (b) son (c) brother (d) nephew
29. 29.A clock shows 6:20. What time will it show 104 minutes later? (a) 7:54 (b) 9:04 (c) 8:04 (d) 8:14
30. 30.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
31. 31.I am a 2-digit number. My digits add up to 9. If you swap my two digits, the new number is 9 more than me. What number am I?
32. 32.In a group of 30 grown-ups, 12 drink tea, 24 drink coffee and 7 drink both. How many drink only tea?
33. 33.Is 2025 a leap year? (a) Yes (b) No
34. 34.Which number is the odd one out: 86, 54, 6, 18? (a) 86 (b) 54 (c) 6 (d) 18
35. 35.Four friends (Arjun, Ira, Meera and Tara) sit in a row. Left and right are as you look at them. Tara sits next to both Meera and Ira. Meera sits next to both Arjun and Tara. Meera sits somewhere to the left of Ira. Who sits just to the left of Meera? (a) Arjun (b) Tara (c) Ira (d) Meera
36. 36.Steps climbed in a minute: Saanvi 31, Meera 89, Myra 61, Omkar 53, Dev 35. What is the total for all five children?
37. 37.Each person always tells the truth or always lies. Farhan says: “At least one of us two, Ira or I, is a liar.” Ira says: “Ananya is a liar.” Ananya says: “Farhan and I both tell the truth.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
38. 38.Each person always tells the truth or always lies. Omkar says: “Saanvi tells the truth.” Saanvi says: “Omkar and I are different kinds.” Is Saanvi a truth-teller or a liar? (a) truth-teller (b) liar
39. 39.Statements: All caps are shoes. All caps are rings. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
40. 40.Three friends (Karan, Nisha and Zoya) sit in a row. Left and right are as you look at them. Karan sits somewhere to the left of Zoya. Zoya sits at the right end. Nisha sits next to both Karan and Zoya. Who sits just to the left of Nisha? (a) Zoya (b) Karan (c) Nisha

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