Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 878 · 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.Which number is the odd one out: 70, 24, 52, 96? (a) 70 (b) 24 (c) 52 (d) 96
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 20 − 2 × 13?
3. 3.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) C (b) Y (c) N (d) R
4. 4.Kavya, Manav and Ira each have a bag of a different colour: yellow, red or green. Manav’s bag is not yellow. Manav’s bag is not green. Kavya’s bag is not green. What colour is Ira’s bag? (a) yellow (b) red (c) green
5. 5.Each person always tells the truth or always lies. Siddharth says: “Farhan tells the truth.” Farhan says: “Siddharth and I are different kinds.” Is Siddharth a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.12 October is a Tuesday. What day of the week is 12 November of the same year? (a) Saturday (b) Friday (c) Sunday (d) Thursday
7. 7.Rahul walks 15 m North, then turns left and walks 14 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
8. 8.Is 2000 a leap year? (a) Yes (b) No
9. 9.Three friends (Aarav, Ira and Sneha) sit in a row. Left and right are as you look at them. Ira does not sit at either end. Aarav sits at the right end. Who sits just to the left of Aarav? (a) Aarav (b) Sneha (c) Ira
10. 10.Today is Sunday. What day of the week will it be 60 days from today? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
11. 11.Arjun runs slower than Aditya. Aditya runs slower than Dev. Who runs the second slowest? (a) Dev (b) Aditya (c) Arjun
12. 12.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
13. 13.Which number is the odd one out: 17, 25, 67, 29? (a) 17 (b) 25 (c) 67 (d) 29
14. 14.Each person always tells the truth or always lies. Aditya says: “Yash tells the truth.” Yash says: “Aditya and I are different kinds.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
15. 15.In a group of 28 children, 8 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
16. 16.Ira is a girl. How is Ira’s brother’s son related to Ira? (a) nephew (b) brother (c) son (d) cousin
17. 17.Pooja, Rohan and Nisha each have a bag of a different colour: blue, red or green. Nisha’s bag is not blue. Pooja’s bag is not blue. Nisha’s bag is not red. Whose bag is green? (a) Pooja (b) Rohan (c) Nisha
18. 18.How many degrees does the minute hand of a clock turn in 34 minutes? =
19. 19.Aisha, Myra and Yash each play a different game: chess, cricket or badminton. Aisha does not play badminton. Myra does not play badminton. Myra does not play cricket. Who plays badminton? (a) Aisha (b) Myra (c) Yash
20. 20.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    12 | 27 | 24
    33 | 21 | 9
    18 | 15 | ?
21. 21.What is the smaller angle between the hour hand and the minute hand at 11:54? (in degrees) =
22. 22.1 January 2027 is a Friday. What day of the week is 17 August 2027? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
23. 23.Find the missing number. The same rule works in every row or in every column.
    1 | 20 | ?
    11 | 14 | 4
    12 | 34 | 20
24. 24.1 January 2036 is a Tuesday. What day of the week is 27 August 2036? (a) Wednesday (b) Tuesday (c) Friday (d) Thursday
25. 25.In a group of 42 children, 8 enjoy drawing, 23 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
26. 26.Aisha walks 8 m North, then turns left and walks 4 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
27. 27.Zoya is facing North. She turns left, then turns right, then turns right, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
28. 28.If PEN is written as PGR, how is STAR written in the same code? (a) RATS (b) UVCT (c) PYRQ (d) TCVU
29. 29.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
30. 30.I am a 2-digit number. My digits add up to 8. If you swap my two digits, the new number is 54 more than me. What number am I?
31. 31.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    15 | 13 | 23
    25 | 17 | 9
    ? | 21 | 19
32. 32.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
33. 33.Each person always tells the truth or always lies. Tara says: “Yash and I both tell the truth.” Yash says: “Tara and I are the same kind.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.In a group of 37 children, 18 like mangoes, 23 like bananas and 8 like both. How many like only bananas?
35. 35.Which number is the odd one out: 36, 96, 88, 64? (a) 36 (b) 96 (c) 88 (d) 64
36. 36.A clock shows 12:30. What time will it show 119 minutes later? (a) 3:29 (b) 2:39 (c) 2:29 (d) 2:19
37. 37.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
38. 38.Which number is the odd one out: 31, 17, 37, 22? (a) 31 (b) 17 (c) 37 (d) 22
39. 39.Sneha walks 6 km West, then turns left and walks 8 km. How far is she from the starting point now, in a straight line (in km)?
40. 40.Ananya is a girl. How is Ananya’s mother’s brother related to Ananya? (a) uncle (b) brother (c) grandfather (d) cousin

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