Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 300 · 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 number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 2. What comes out after step 3?
2. 2.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
3. 3.In a group of 48 children, 23 like mangoes, 16 like bananas and 6 like both. How many like only bananas?
4. 4.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: 71 85 33 28 90 75. After step 4, what is the 4th number from the left?
5. 5.Find the missing number. The same rule works in every row or in every column.
   16 | ? | 1
   3 | 17 | 4
   15 | 7 | 2
6. 6.Each person always tells the truth or always lies. Ananya says: “Dev and I are different kinds.” Dev says: “Ananya is a liar.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
7. 7.Meera walks 16 m North, then turns around and walks 2 m. How far is she from the starting point now (in m)?
8. 8.Each person always tells the truth or always lies. Sneha says: “Rahul is a liar.” Rahul says: “Sneha and I both tell the truth.” Is Sneha a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.Find the missing number. The same rule works in every row or in every column.
   ? | 7 | 16
   14 | 6 | 20
   10 | 14 | 24
10. 10.If FISH is written as ITJG, how is RAIN written in the same code? (a) NIAR (b) OJBS (c) SBJO (d) MHZQ
11. 11.I am a 2-digit number. My digits add up to 5 and my tens digit is 5 more than my ones digit. What number am I?
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: 49 78 11 86 96 35. After step 3, what is the 1st number from the left?
13. 13.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan wins the match. What can you say about “Ishaan gets a medal”? (a) must be true (b) must be false (c) can't tell
14. 14.Kites flown at Makar Sankranti: Sneha 14, Manav 18, Riya 21, Siddharth 13, Saanvi 11. What is the total for all five children?
15. 15.Myra is a girl. How is Myra’s mother’s brother’s son related to Myra? (a) nephew (b) brother (c) cousin (d) uncle
16. 16.Tara is taller than Riya. Priya is taller than Tara. Who is the second shortest? (a) Tara (b) Riya (c) Priya
17. 17.Aarav is a boy. How is Aarav’s father’s only son’s sister related to Aarav? (a) cousin (b) sister (c) aunt (d) mother
18. 18.A clock shows 4:21. What time does it show in a mirror? (a) 7:39 (b) 6:39 (c) 8:21 (d) 8:39
19. 19.Kavya, Kabir and Rahul each have a different pet: rabbit, tortoise or parrot. Kabir does not have the parrot. Kabir does not have the rabbit. Kavya does not have the rabbit. Which pet does Rahul have? (a) rabbit (b) tortoise (c) parrot
20. 20.Find the missing number. The same rule works in every row or in every column.
    13 | 3 | 13
    ? | 5 | 15
    20 | 2 | 7
21. 21.Statements: Some books are boxes. No kites are books. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 6 ÷ 9 × 12?
23. 23.If BALL is written as ZYJJ, how is CAKE written in the same code? (a) BZJD (b) ZXHB (c) ECMG (d) AYIC
24. 24.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 8. What comes out after step 2?
25. 25.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
26. 26.Ananya walks 6 m North, then turns left and walks 8 m. How far is she from the starting point now, in a straight line (in m)?
27. 27.Rohan, Isha and Neel each have a bag of a different colour: blue, red or white. Isha’s bag is not red. Rohan’s bag is not white. Neel’s bag is not red. Neel’s bag is not white. Whose bag is white? (a) Rohan (b) Isha (c) Neel
28. 28.Ira is taller than Riya. Aisha is taller than Kavya. Riya is taller than Aisha. Who is the shortest? (a) Ira (b) Riya (c) Kavya (d) Aisha
29. 29.Myra, Aarav and Aisha each play a different game: chess, cricket or football. Aisha does not play chess. Aisha does not play football. Myra does not play chess. Who plays football? (a) Myra (b) Aarav (c) Aisha
30. 30.Each person always tells the truth or always lies. Vivaan says: “Kabir and I are different kinds.” Kabir says: “Vivaan and I are the same kind.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.Manav is a boy. How is Manav’s mother’s brother’s son related to Manav? (a) uncle (b) nephew (c) brother (d) cousin
32. 32.Saanvi is a girl. How is Saanvi’s brother’s wife related to Saanvi? (a) aunt (b) sister (c) sister-in-law (d) cousin
33. 33.Each person always tells the truth or always lies. Priya says: “At least one of us two, Aarav or I, is a liar.” Aarav says: “Priya is a liar.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.Aarav walks 8 m South, then turns around and walks 5 m. How far is he from the starting point now (in m)?
35. 35.If RAIN is written as NIAR, how is JUMP written in the same code? (a) KVNQ (b) OLTI (c) PMUJ (d) QNVK
36. 36.Statements: Some kites are pens. No pens are keys. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
37. 37.Two standard dice show 2 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
38. 38.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: 25 81 18 84 47 27. After step 3, what is the 5th number from the left?
39. 39.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly three painted faces?
40. 40.In a group of 45 children, 30 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy only dancing?

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