Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 450 · 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.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 3 × 2 − 18?
2. 2.Statements: No bags are shoes. All bags are keys. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.Kavya walks 10 m North, turns left and walks 8 m, then turns left again and walks 4 m. How far is she from the starting point now, in a straight line (in m)?
4. 4.Which number is the odd one out: 41, 73, 30, 97? (a) 41 (b) 73 (c) 30 (d) 97
5. 5.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 6. What comes out after step 2?
6. 6.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 does not stay green”? (a) must be true (b) must be false (c) can't tell
7. 7.Find the missing number. The same rule works in every row or in every column.
   3 | ? | 12
   6 | 9 | 54
   8 | 8 | 64
8. 8.Today is Friday. What day of the week will it be 94 days from today? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
9. 9.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
10. 10.In a group of 23 children, 11 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
11. 11.Find the missing number. The same rule works in every row or in every column.
    7 | 8 | ?
    9 | 8 | 72
    2 | 2 | 4
12. 12.Neel runs slower than Vivaan. Riya runs slower than Neel. Ishaan runs faster than Vivaan. Who runs the second fastest? (a) Neel (b) Ishaan (c) Vivaan (d) Riya
13. 13.Each person always tells the truth or always lies. Omkar says: “Farhan and I are different kinds.” Farhan says: “Omkar and I both tell the truth.” Rohan says: “At least one of us two, Omkar or I, is a liar.” Is Farhan a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Books read in the summer holidays: Kavya 19, Kabir 8, Karan 15, Riya 23, Manav 24. How many more books does Riya have than Kabir?
15. 15.Kites flown at Makar Sankranti: Meera 8, Vivaan 13, Kabir 6, Neel 5, Kavya 17. Who has the most kites? (a) Kabir (b) Vivaan (c) Neel (d) Kavya
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 18 ÷ 8 × 14?
17. 17.Five friends (Ira, Ishaan, Kavya, Vivaan and Yash) sit in a row. Left and right are as you look at them. Ishaan does not sit at either end. Yash sits at the left end. Ira sits somewhere to the left of Vivaan. Ira sits next to both Yash and Kavya. Who sits just to the left of Ira? (a) Yash (b) Ira (c) Kavya (d) Ishaan
18. 18.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: 78 80 30 56 21 77. After step 3, what is the 5th number from the left?
19. 19.In a group of 29 children, 21 sing Hindi songs, 7 sing English songs and 4 sing both. How many sing at least one of the two?
20. 20.Books read in the summer holidays: Ira 21, Omkar 20, Isha 12, Yash 25, Saanvi 7. How many children have more than 8 books?
21. 21.Riya walks 8 km North, then turns left and walks 15 km. How far is she from the starting point now, in a straight line (in km)?
22. 22.Five friends (Omkar, Rohan, Saanvi, Sneha and Yash) sit in a row. Left and right are as you look at them. Sneha sits next to both Omkar and Rohan. Omkar sits somewhere to the left of Rohan. Omkar does not sit at either end. Rohan does not sit at either end. Omkar sits just to the right of Yash. Who sits in the middle? (a) Saanvi (b) Rohan (c) Omkar (d) Sneha
23. 23.Rahul runs slower than Ishaan. Ishaan runs slower than Priya. Who runs the second slowest? (a) Ishaan (b) Rahul (c) Priya
24. 24.Today is Friday. What day of the week will it be 48 days from today? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
25. 25.Which number is the odd one out: 17, 31, 68, 29? (a) 17 (b) 31 (c) 68 (d) 29
26. 26.Farhan, Kabir and Kavya each have a different pet: rabbit, dog or tortoise. Kavya does not have the tortoise. Kabir does not have the dog. Farhan does not have the tortoise. Kavya does not have the rabbit. Which pet does Kabir have? (a) rabbit (b) dog (c) tortoise
27. 27.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly one painted face?
28. 28.A clock shows 12:03. What time does it show in a mirror? (a) 12:03 (b) 10:57 (c) 12:57 (d) 11:57
29. 29.Which number is the odd one out: 11, 14, 37, 19? (a) 11 (b) 14 (c) 37 (d) 19
30. 30.Arjun, Kabir and Diya each have a different pet: dog, rabbit or cat. Arjun does not have the rabbit. Diya does not have the dog. Arjun does not have the cat. Diya does not have the cat. Who has the cat? (a) Arjun (b) Kabir (c) Diya
31. 31.Aditya is a boy. How is Aditya’s mother’s brother’s son related to Aditya? (a) uncle (b) nephew (c) cousin (d) brother
32. 32.Find the missing number. The same rule works in every row or in every column.
    18 | ? | 9
    2 | 19 | 13
    20 | 25 | 22
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 12 − 2 × 20?
34. 34.Nisha is a girl. How is Nisha’s father’s father’s only son’s son related to Nisha? (a) uncle (b) cousin (c) brother (d) father
35. 35.In a group of 28 children, 16 play cricket, 14 play football and 10 play both. How many play at least one of the two?
36. 36.Arjun is a boy. How is Arjun’s mother’s only daughter related to Arjun? (a) mother (b) niece (c) sister (d) aunt
37. 37.Yash is lighter than Karan. Karan is lighter than Isha. Who is the second lightest? (a) Karan (b) Yash (c) Isha
38. 38.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha wins the match. What can you say about “Sneha gets a medal”? (a) must be true (b) must be false (c) can't tell
39. 39.Three friends (Aisha, Rohan and Tara) sit in a row. Left and right are as you look at them. Tara sits just to the right of Aisha. Rohan sits somewhere to the left of Tara. Who sits at the left end? (a) Aisha (b) Rohan (c) Tara
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 5 − 13 + 13?

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