Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 216 · 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.
   14 | 1 | 14
   20 | 2 | 10
   34 | 3 | ?
2. 2.I am a 2-digit number. My digits add up to 2 and my tens digit is 2 more than my ones digit. What number am I?
3. 3.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 5. What comes out after step 3?
4. 4.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: 85 63 51 10 78 94. After step 2, what is the 5th number from the left?
5. 5.Vivaan is a boy. How is Vivaan’s mother’s brother’s son related to Vivaan? (a) brother (b) nephew (c) uncle (d) cousin
6. 6.Ishaan is younger than Ananya. Aditya is older than Ananya. Who is the second youngest? (a) Ananya (b) Aditya (c) Ishaan
7. 7.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) N (b) U (c) B (d) P
8. 8.Four friends (Ananya, Dev, Nisha and Rahul) sit in a row. Left and right are as you look at them. Rahul sits next to both Dev and Ananya. Dev does not sit at either end. Rahul sits just to the right of Dev. Who sits just to the left of Dev? (a) Dev (b) Ananya (c) Rahul (d) Nisha
9. 9.Myra, Aisha and Aarav each have a different pet: parrot, tortoise or rabbit. Aarav does not have the rabbit. Aisha does not have the tortoise. Aisha does not have the parrot. Aarav does not have the parrot. Who has the rabbit? (a) Myra (b) Aisha (c) Aarav
10. 10.Two standard dice show 3 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
11. 11.Each person always tells the truth or always lies. Aarav says: “Myra tells the truth.” Neel says: “Aarav tells the truth.” Myra says: “Aarav and I are different kinds.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
12. 12.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
13. 13.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 6. What comes out after step 3?
14. 14.Which capital letter looks exactly the same in a mirror? (a) N (b) R (c) S (d) U
15. 15.Find the missing number. The same rule works in every row or in every column.
    ? | 2 | 12
    23 | 4 | 3
    19 | 6 | 5
16. 16.In a group of 35 children, 15 like mangoes, 20 like bananas and 10 like both. How many like only mangoes?
17. 17.Each person always tells the truth or always lies. Kavya says: “Yash and I both tell the truth.” Yash says: “At least one of us two, Kavya or I, is a liar.” Is Kavya a truth-teller or a liar? (a) truth-teller (b) liar
18. 18.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: 52 79 65 71 95 70. After step 3, what is the 3rd number from the left?
19. 19.Three friends (Kabir, Manav and Nisha) sit in a row. Left and right are as you look at them. Nisha sits somewhere to the left of Manav. Kabir sits just to the right of Nisha. Who sits in the middle? (a) Manav (b) Nisha (c) Kabir
20. 20.Farhan is heavier than Tara. Saanvi is heavier than Farhan. Ishaan is heavier than Saanvi. Who is the heaviest? (a) Tara (b) Saanvi (c) Farhan (d) Ishaan
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 4 × 7 ÷ 18?
22. 22.Each person always tells the truth or always lies. Priya says: “Arjun and I both tell the truth.” Arjun says: “At least one of us two, Priya or I, is a liar.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
23. 23.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 3. What comes out after step 3?
24. 24.A clock shows 1:05. What time will it show 117 minutes later? (a) 4:02 (b) 2:52 (c) 3:02 (d) 3:12
25. 25.Isha walks 17 m East, turns left and walks 9 m, then turns left again and walks 5 m. How far is she from the starting point now, in a straight line (in m)?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 13 − 2 × 17?
27. 27.If MOON is written as NOOM, how is JUMP written in the same code? (a) KVNQ (b) OLTI (c) PMUJ (d) QNVK
28. 28.Kabir is a boy. How is Kabir’s father’s only son’s sister related to Kabir? (a) mother (b) cousin (c) aunt (d) sister
29. 29.Kites flown at Makar Sankranti: Farhan 8, Diya 4, Kavya 17, Vivaan 13, Tara 21. Who has the most kites? (a) Farhan (b) Diya (c) Tara (d) Vivaan
30. 30.Statements: All rings are cups. All bags are cups. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.Ira is older than Omkar. Ira is younger than Ishaan. Nisha is older than Ishaan. Who is the second youngest? (a) Omkar (b) Ira (c) Nisha (d) Ishaan
32. 32.Priya is facing East. She turns left, then turns around (a half turn), then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
33. 33.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: 52 42 61 93 35 50. After step 2, what is the 1st number from the left?
34. 34.Sneha is a girl. How is Sneha’s mother’s mother related to Sneha? (a) grandmother (b) sister (c) mother (d) aunt
35. 35.Statements: Some cups are bags. No cups are shoes. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
36. 36.Each person always tells the truth or always lies. Pooja says: “At least one of us two, Kabir or I, is a liar.” Kabir says: “Pooja is a liar.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.Tara is a girl. How is Tara’s father’s father’s only son related to Tara? (a) father (b) uncle (c) brother (d) grandfather
38. 38.If TOYS is written as SYOT, how is CAT written in the same code? (a) UBD (b) DBU (c) SZB (d) TAC
39. 39.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera gets a medal. What can you say about “Meera does not win the match”? (a) must be true (b) must be false (c) can't tell
40. 40.Five friends (Aditya, Ishaan, Riya, Rohan and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits next to both Aditya and Riya. Vivaan sits somewhere to the left of Rohan. Riya does not sit at either end. Aditya sits somewhere to the left of Ishaan. Riya sits next to both Vivaan and Rohan. Who sits just to the right of Aditya? (a) Vivaan (b) Rohan (c) Ishaan (d) Aditya

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