Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 844 · 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 4. Each output goes back in as the next input. Start with 8. What comes out after step 2?
2. 2.Pooja is younger than Dev. Omkar is younger than Pooja. Who is the second oldest? (a) Dev (b) Pooja (c) Omkar
3. 3.Trees planted in a week: Isha 23, Rahul 38, Omkar 10, Sneha 12, Ananya 36. How many more trees does Ananya have than Omkar?
4. 4.In a group of 41 children, 23 play cricket, 18 play football and 4 play both. How many play only cricket?
5. 5.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
6. 6.23 November is a Friday. What day of the week is 23 December of the same year? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
7. 7.Which number is the odd one out: 28, 27, 63, 99? (a) 28 (b) 27 (c) 63 (d) 99
8. 8.Dev is a boy. How is Dev’s sister’s son related to Dev? (a) son (b) cousin (c) nephew (d) brother
9. 9.How many degrees does the minute hand of a clock turn in 31 minutes? =
10. 10.The sum of three consecutive even numbers is 36. What is the smallest of them?
11. 11.In a group of 37 children, 11 enjoy drawing, 20 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
12. 12.Runs scored in a cricket match: Vivaan 41, Aisha 56, Ishaan 50, Myra 32, Meera 15. Who has the fewest runs? (a) Vivaan (b) Myra (c) Meera (d) Ishaan
13. 13.Runs scored in a cricket match: Ishaan 20, Karan 12, Manav 15, Zoya 33, Rahul 55. What is the difference between the highest and the lowest?
14. 14.A clock shows 8:35. What time does it show in a mirror? (a) 4:25 (b) 3:25 (c) 2:25 (d) 4:35
15. 15.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 3 − 16 × 11?
17. 17.Ira, Siddharth and Ishaan each play a different game: football, badminton or cricket. Siddharth does not play cricket. Ira does not play cricket. Siddharth does not play badminton. Who plays football? (a) Ira (b) Siddharth (c) Ishaan
18. 18.Pooja is lighter than Saanvi. Rahul is heavier than Saanvi. Who is the lightest? (a) Rahul (b) Saanvi (c) Pooja
19. 19.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
20. 20.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have at least one painted face?
21. 21.9 June is a Friday. What day of the week is 9 July of the same year? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
22. 22.Each person always tells the truth or always lies. Rahul says: “Manav tells the truth.” Manav says: “Rahul and I are the same kind.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
23. 23.I am a 2-digit number. My digits add up to 11. If you swap my two digits, the new number is 27 more than me. What number am I?
24. 24.Arjun is a boy. How is Arjun’s mother’s brother’s son related to Arjun? (a) brother (b) cousin (c) uncle (d) nephew
25. 25.Pooja walks 8 km North, then turns right and walks 15 km. How far is she from the starting point now, in a straight line (in km)?
26. 26.Rohan walks 11 m North, then turns around and walks 7 m. How far is he from the starting point now (in m)?
27. 27.The sum of three consecutive even numbers is 162. What is the smallest of them?
28. 28.Statements: All balls are caps. All caps are kites. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
30. 30.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: 74 75 11 19 20 80. After step 3, what is the 2nd number from the left?
31. 31.Find the missing number. The same rule works in every row or in every column.
    1 | 23 | 2
    15 | 7 | 4
    ? | 5 | 20
32. 32.Which number is the odd one out: 59, 82, 93, 3? (a) 59 (b) 82 (c) 93 (d) 3
33. 33.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara does not score above 90. What can you say about “Tara gets a gold star”? (a) must be true (b) must be false (c) can't tell
34. 34.Kites flown at Makar Sankranti: Aditya 11, Manav 25, Rohan 2, Arjun 13, Ira 19. What is the difference between the highest and the lowest?
35. 35.Which capital letter looks exactly the same in a mirror? (a) W (b) S (c) F (d) C
36. 36.Each person always tells the truth or always lies. Pooja says: “Isha and I both tell the truth.” Farhan says: “Isha and I are different kinds.” Isha says: “Farhan tells the truth.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.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 one painted face?
38. 38.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
39. 39.Find the missing number. The same rule works in every row or in every column.
    ? | 9 | 14
    20 | 20 | 40
    3 | 15 | 18
40. 40.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 no painted face?

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