Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 360 · 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.How many degrees does the minute hand of a clock turn in 27 minutes? =
2. 2.If MILK is written as LHKJ, how is BELL written in the same code? (a) CFMM (b) ADKK (c) BELL (d) ZCJJ
3. 3.In a group of 36 children, 19 like mangoes, 17 like bananas and 3 like both. How many like at least one of the two?
4. 4.Each person always tells the truth or always lies. Arjun says: “At least one of us two, Vivaan or I, is a liar.” Vivaan says: “Arjun and I are the same kind.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
5. 5.If BOOK is written as KOOB, how is BOAT written in the same code? (a) SZNA (b) TAOB (c) UBPC (d) CPBU
6. 6.The sum of three consecutive numbers is 60. What is the smallest of them?
7. 7.Riya, Vivaan and Saanvi each have a different pet: rabbit, tortoise or parrot. Riya does not have the parrot. Riya does not have the rabbit. Vivaan does not have the parrot. Who has the tortoise? (a) Riya (b) Vivaan (c) Saanvi
8. 8.Five friends (Ananya, Karan, Omkar, Priya and Sneha) sit in a row. Left and right are as you look at them. Ananya sits at the left end. Sneha does not sit at either end. Omkar does not sit at either end. Omkar sits just to the right of Ananya. Sneha sits next to both Priya and Karan. Priya sits somewhere to the left of Karan. Who sits at the right end? (a) Priya (b) Ananya (c) Omkar (d) Karan
9. 9.Kites flown at Makar Sankranti: Karan 18, Aisha 19, Nisha 7, Neel 2, Kavya 21. Who has the fewest kites? (a) Aisha (b) Kavya (c) Neel (d) Karan
10. 10.The sum of three consecutive even numbers is 210. What is the largest of them?
11. 11.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: 20 28 62 96 60 76. After step 3, what is the 6th number from the left?
12. 12.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
13. 13.Find the missing number. The same rule works in every row or in every column.
    20 | 5 | 25
    3 | 1 | 4
    12 | 7 | ?
14. 14.Find the missing number. The same rule works in every row or in every column.
    5 | 1 | 6
    5 | 1 | 6
    20 | ? | 23
15. 15.Rule: If the shop is open, then Rahul buys milk. Fact: Rahul does not buy milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
16. 16.I am a 2-digit number. My digits add up to 9 and my tens digit is 1 more than my ones digit. What number am I?
17. 17.In a group of 34 children, 23 play cricket, 14 play football and 6 play both. How many play at least one of the two?
18. 18.Find the missing number. The same rule works in every row or in every column.
    9 | 12 | ?
    13 | 4 | 17
    13 | 3 | 16
19. 19.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 2. What comes out after step 2?
20. 20.Which number is the odd one out: 59, 23, 86, 47? (a) 59 (b) 23 (c) 86 (d) 47
21. 21.Find the missing number. The same rule works in every row or in every column.
    7 | 7 | 49
    3 | ? | 15
    5 | 2 | 10
22. 22.Find the missing number. The same rule works in every row or in every column.
    6 | 7 | 42
    6 | ? | 54
    3 | 8 | 24
23. 23.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    18 | 4 | 14
    8 | 12 | 16
    10 | ? | 6
24. 24.Which number is the odd one out: 71, 79, 26, 89? (a) 71 (b) 79 (c) 26 (d) 89
25. 25.If MOON is written as MNNL, how is RAIN written in the same code? (a) NIAR (b) OJBS (c) MHZQ (d) QZHM
26. 26.A clock shows 8:45. What time will it show 127 minutes later? (a) 11:02 (b) 10:42 (c) 10:52 (d) 11:52
27. 27.Kavya walks 8 km South, then turns left and walks 15 km. How far is she from the starting point now, in a straight line (in km)?
28. 28.Isha is a girl. How is Isha’s mother’s father related to Isha? (a) grandson (b) grandfather (c) uncle (d) father
29. 29.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have at least one painted face?
30. 30.Three friends (Aditya, Saanvi and Vivaan) sit in a row. Left and right are as you look at them. Saanvi sits at the right end. Aditya sits at the left end. Who sits just to the right of Aditya? (a) Saanvi (b) Aditya (c) Vivaan
31. 31.Karan, Rahul and Ishaan each have a bag of a different colour: green, blue or white. Rahul’s bag is not blue. Rahul’s bag is not white. Ishaan’s bag is not blue. What colour is Karan’s bag? (a) green (b) blue (c) white
32. 32.Karan walks 23 m West, then turns around and walks 7 m. How far is he from the starting point now (in m)?
33. 33.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
34. 34.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 29 | 26
    35 | 23 | 11
    20 | 17 | 32
35. 35.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
36. 36.Diya is facing West. She turns right, then turns right, then turns around (a half turn), then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
37. 37.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) M (b) X (c) R (d) S
38. 38.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
39. 39.How many degrees does the hour hand of a clock turn in 161 minutes? =
40. 40.Find the missing number. The same rule works in every row or in every column.
    ? | 3 | 6
    6 | 2 | 12
    4 | 3 | 12

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