Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 535 · 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.Arjun is facing North. He turns around (a half turn), then turns right, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
2. 2.Statements: No books are boxes. All boxes are toys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.Aisha, Manav and Nisha each play a different game: badminton, chess or football. Aisha does not play football. Manav does not play chess. Aisha does not play badminton. Manav does not play badminton. Who plays football? (a) Aisha (b) Manav (c) Nisha
4. 4.Tara walks 19 m North, then turns around and walks 11 m. How far is she from the starting point now (in m)?
5. 5.Is 2200 a leap year? (a) Yes (b) No
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 15 ÷ 8 − 2?
7. 7.Find the missing number. The same rule works in every row or in every column.
   10 | 7 | 17
   5 | 7 | 12
   19 | ? | 33
8. 8.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 4. What comes out after step 3?
9. 9.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: 21 85 51 49 23 26. After step 3, what is the 5th number from the left?
10. 10.A clock shows 1:42. What time will it show 16 minutes later? (a) 2:58 (b) 1:48 (c) 1:58 (d) 2:08
11. 11.Four friends (Diya, Ishaan, Saanvi and Siddharth) sit in a row. Left and right are as you look at them. Ishaan sits next to both Saanvi and Siddharth. Saanvi sits next to both Diya and Ishaan. Diya sits somewhere to the left of Ishaan. Who sits at the left end? (a) Siddharth (b) Ishaan (c) Diya (d) Saanvi
12. 12.I am a 2-digit number. My digits add up to 14 and my tens digit is 4 more than my ones digit. What number am I?
13. 13.A wooden cube is painted on all six faces, then each edge is cut into 5 equal parts, making small cubes. How many small cubes have exactly three painted faces?
14. 14.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
15. 15.Find the missing number. The same rule works in every row or in every column.
    10 | 2 | 8
    3 | 17 | 13
    ? | 19 | 21
16. 16.Two standard dice show 5 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
17. 17.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
18. 18.Diya walks 9 km North, then turns right and walks 12 km. How far is she from the starting point now, in a straight line (in km)?
19. 19.In a group of 41 children, 23 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 − 7 + 8?
21. 21.Each person always tells the truth or always lies. Vivaan says: “Myra is a liar.” Myra says: “At least one of us two, Vivaan or I, is a liar.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
22. 22.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) V (b) T (c) H (d) L
23. 23.Each person always tells the truth or always lies. Kabir says: “Aisha is a liar.” Aisha says: “Rohan and I are the same kind.” Rohan says: “Aisha and I are different kinds.” Is Aisha a truth-teller or a liar? (a) truth-teller (b) liar
24. 24.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
25. 25.Three friends (Aditya, Pooja and Zoya) sit in a row. Left and right are as you look at them. Pooja sits at the right end. Zoya does not sit at either end. Who sits just to the left of Pooja? (a) Zoya (b) Pooja (c) Aditya
26. 26.Kabir, Tara and Kavya each have a different pet: tortoise, cat or parrot. Tara does not have the parrot. Kabir does not have the tortoise. Kavya does not have the parrot. Kavya does not have the tortoise. Which pet does Kavya have? (a) tortoise (b) cat (c) parrot
27. 27.Diya is a girl. How is Diya’s mother’s father related to Diya? (a) grandson (b) grandfather (c) father (d) uncle
28. 28.Find the missing number. The same rule works in every row or in every column.
    ? | 4 | 20
    8 | 9 | 72
    8 | 3 | 24
29. 29.Vivaan is taller than Diya. Yash is shorter than Diya. Who is the second tallest? (a) Yash (b) Vivaan (c) Diya
30. 30.Aarav is lighter than Kabir. Aarav is heavier than Diya. Who is the lightest? (a) Aarav (b) Diya (c) Kabir
31. 31.Isha, Aditya and Priya each play a different game: badminton, chess or carrom. Isha does not play chess. Priya does not play carrom. Isha does not play badminton. Aditya does not play badminton. Who plays badminton? (a) Isha (b) Aditya (c) Priya
32. 32.In a group of 29 children, 12 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
33. 33.Three friends (Neel, Rohan and Vivaan) sit in a row. Left and right are as you look at them. Neel sits just to the right of Rohan. Neel does not sit at either end. Who sits just to the left of Vivaan? (a) Rohan (b) Neel (c) Vivaan
34. 34.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
35. 35.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?
36. 36.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have no painted face?
37. 37.If TOYS is written as GLBH, how is TREE written in the same code? (a) HJWW (b) FHUU (c) GIVV (d) USFF
38. 38.Which number is the odd one out: 53, 66, 13, 73? (a) 53 (b) 66 (c) 13 (d) 73
39. 39.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
40. 40.Find the missing number. The same rule works in every row or in every column.
    3 | 18 | ?
    19 | 20 | 39
    5 | 17 | 22

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