Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 897 · 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 39 children, 19 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
2. 2.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) T (b) R (c) M (d) I
3. 3.Kabir is taller than Vivaan. Kabir is shorter than Pooja. Who is the second shortest? (a) Pooja (b) Kabir (c) Vivaan
4. 4.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan does not go to the park. What can you say about “Ishaan finishes the homework”? (a) must be true (b) must be false (c) can't tell
5. 5.Two standard dice show 5 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
6. 6.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: 80 52 58 76 38 65. After step 2, what is the 3rd number from the left?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 14 × 7 − 6?
8. 8.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 5. What comes out after step 2?
9. 9.Isha, Dev and Aisha each play a different game: cricket, badminton or carrom. Isha does not play carrom. Isha does not play cricket. Dev does not play carrom. Who plays badminton? (a) Isha (b) Dev (c) Aisha
10. 10.Two standard dice show 1 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
11. 11.The sum of three consecutive numbers is 165. What is the smallest of them?
12. 12.Which number is the odd one out: 70, 61, 47, 5? (a) 70 (b) 61 (c) 47 (d) 5
13. 13.1 January 2030 is a Tuesday. What day of the week is 8 November 2030? (a) Sunday (b) Saturday (c) Thursday (d) Friday
14. 14.Statements: All shoes are bags. Some bags are kites. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
16. 16.Books read in the summer holidays: Ishaan 6, Aarav 30, Zoya 29, Rahul 24, Aditya 5. How many more books does Rahul have than Ishaan?
17. 17.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: 26 23 30 64 32 33. After step 3, what is the 4th number from the left?
18. 18.Two standard dice show 6 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
19. 19.Steps climbed in a minute: Rahul 80, Ananya 81, Meera 89, Priya 77, Vivaan 33. Who has the fewest steps? (a) Meera (b) Vivaan (c) Ananya (d) Rahul
20. 20.Kavya is a girl. How is Kavya’s brother’s daughter related to Kavya? (a) daughter (b) cousin (c) niece (d) sister
21. 21.Karan is a boy. How is Karan’s mother’s only daughter related to Karan? (a) mother (b) niece (c) sister (d) aunt
22. 22.Myra, Aarav and Diya each have a bag of a different colour: white, green or red. Myra’s bag is not green. Myra’s bag is not white. Diya’s bag is not green. What colour is Aarav’s bag? (a) white (b) green (c) red
23. 23.Find the missing number. The same rule works in every row or in every column.
    17 | 12 | 17
    11 | 11 | 2
    28 | ? | 19
24. 24.Which number is the odd one out: 89, 54, 45, 90? (a) 89 (b) 54 (c) 45 (d) 90
25. 25.Rahul is a boy. How is Rahul’s sister’s daughter related to Rahul? (a) sister (b) niece (c) aunt (d) daughter
26. 26.Kabir walks 22 m East, then turns around and walks 15 m. How far is he from the starting point now (in m)?
27. 27.Priya walks 3 m North, then turns right and walks 4 m. How far is she from the starting point now, in a straight line (in m)?
28. 28.Two standard dice show 2 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
29. 29.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: 14 16 98 91 73 70. After step 2, what is the 5th number from the left?
30. 30.Statements: No caps are bells. All bells are bags. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.A clock shows 4:16. What time does it show in a mirror? (a) 8:44 (b) 6:44 (c) 7:44 (d) 8:16
32. 32.Which number is the odd one out: 32, 8, 15, 88? (a) 32 (b) 8 (c) 15 (d) 88
33. 33.Find the missing number. The same rule works in every row or in every column.
    6 | 3 | 18
    ? | 2 | 8
    2 | 7 | 14
34. 34.Today is Wednesday. What day of the week will it be 44 days from today? (a) Saturday (b) Sunday (c) Friday (d) Thursday
35. 35.Neel is lighter than Vivaan. Pooja is lighter than Neel. Farhan is heavier than Vivaan. Who is the second heaviest? (a) Pooja (b) Vivaan (c) Neel (d) Farhan
36. 36.Which capital letter looks exactly the same in a mirror? (a) D (b) N (c) W (d) R
37. 37.Which number is the odd one out: 13, 67, 64, 53? (a) 13 (b) 67 (c) 64 (d) 53
38. 38.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    24 | 9 | 30
    27 | ? | 15
    12 | 33 | 18
39. 39.Rahul is facing East. 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
40. 40.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan scores above 90. What can you say about “Ishaan does not get a gold star”? (a) must be true (b) must be false (c) can't tell

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