Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 317 · 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.In a group of 11 children, 6 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing neither of the two?
2. 2.Rohan, Sneha and Arjun each have a different pet: dog, tortoise or cat. Arjun does not have the dog. Sneha does not have the cat. Rohan does not have the dog. Arjun does not have the cat. Who has the tortoise? (a) Rohan (b) Sneha (c) Arjun
3. 3.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
4. 4.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is open. What can you say about “Zoya buys milk”? (a) must be true (b) must be false (c) can't tell
5. 5.Nisha walks 10 m East, turns left and walks 3 m, then turns left again and walks 6 m. How far is she from the starting point now, in a straight line (in m)?
6. 6.If DOG is written as FNC, how is COLD written in the same code? (a) EMPD (b) CKNB (c) DLOC (d) BNKC
7. 7.In a group of 23 children, 11 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
8. 8.Steps climbed in a minute: Dev 64, Pooja 42, Omkar 69, Zoya 62, Yash 25. How many children have more than 67 steps?
9. 9.Which number is the odd one out: 30, 48, 64, 16? (a) 30 (b) 48 (c) 64 (d) 16
10. 10.Find the missing number. The same rule works in every row or in every column.
    2 | ? | 8
    1 | 14 | 15
    4 | 6 | 10
11. 11.If CAKE is written as BZJD, how is RAIN written in the same code? (a) SBJO (b) QZHM (c) RAIN (d) PYGL
12. 12.In a group of 42 grown-ups, 29 drink tea, 15 drink coffee and 12 drink both. How many drink exactly one of the two?
13. 13.Riya walks 10 m West, turns left and walks 24 m, then turns left again and walks 3 m. How far is she from the starting point now, in a straight line (in m)?
14. 14.Saanvi is facing North. She turns left, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
15. 15.Find the missing number. The same rule works in every row or in every column.
    13 | 15 | 8
    ? | 11 | 1
    17 | 26 | 9
16. 16.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
17. 17.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly three painted faces?
18. 18.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
19. 19.Which capital letter looks exactly the same in a mirror? (a) D (b) K (c) M (d) S
20. 20.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) N (b) F (c) O (d) Z
21. 21.Which number is the odd one out: 83, 78, 59, 29? (a) 83 (b) 78 (c) 59 (d) 29
22. 22.Find the missing number. The same rule works in every row or in every column.
    10 | ? | 30
    6 | 6 | 12
    18 | 14 | 32
23. 23.Find the missing number. The same rule works in every row or in every column.
    ? | 4 | 23
    2 | 13 | 15
    9 | 11 | 20
24. 24.The sum of three consecutive numbers is 57. What is the largest of them?
25. 25.If SUN is written as NUS, how is CAT written in the same code? (a) TAC (b) DBU (c) SZB (d) UBD
26. 26.Ishaan is a boy. How is Ishaan’s mother’s brother related to Ishaan? (a) brother (b) uncle (c) grandfather (d) cousin
27. 27.Vivaan is a boy. How is Vivaan’s mother’s brother related to Vivaan? (a) brother (b) uncle (c) cousin (d) grandfather
28. 28.Statements: No pens are keys. All toys are pens. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 7. What comes out after step 2?
30. 30.Each person always tells the truth or always lies. Ishaan says: “Rohan and I are the same kind.” Rohan says: “Ishaan and I are different kinds.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have no painted face?
32. 32.Each person always tells the truth or always lies. Meera says: “Ishaan is a liar.” Nisha says: “Meera tells the truth.” Ishaan says: “Meera and I both tell the truth.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
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.Which number is the odd one out: 37, 32, 61, 19? (a) 37 (b) 32 (c) 61 (d) 19
35. 35.Pooja, Vivaan and Rahul each have a different pet: tortoise, dog or cat. Rahul does not have the dog. Vivaan does not have the dog. Vivaan does not have the tortoise. Who has the tortoise? (a) Pooja (b) Vivaan (c) Rahul
36. 36.Manav walks 15 km East, then turns left and walks 8 km. How far is he from the starting point now, in a straight line (in km)?
37. 37.In a group of 31 children, 25 play cricket, 11 play football and 6 play both. How many play only football?
38. 38.Four friends (Ira, Kavya, Saanvi and Tara) sit in a row. Left and right are as you look at them. Ira sits just to the right of Tara. Kavya sits just to the right of Saanvi. Ira sits at the right end. Who sits at the left end? (a) Saanvi (b) Ira (c) Kavya (d) Tara
39. 39.If MOON is written as NPPO, how is NEST written in the same code? (a) PGUV (b) MDRS (c) UTFO (d) OFTU
40. 40.Saanvi is a girl. How is Saanvi’s brother’s wife related to Saanvi? (a) aunt (b) sister (c) sister-in-law (d) cousin

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