Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 353 · 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 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?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 8 − 4 × 8?
3. 3.Find the missing number. The same rule works in every row or in every column.
   5 | ? | 23
   8 | 11 | 19
   13 | 1 | 14
4. 4.Find the missing number. The same rule works in every row or in every column.
   2 | 3 | 5
   7 | 3 | 10
   4 | 9 | ?
5. 5.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?
6. 6.A clock shows 4:16. What time will it show 36 minutes later? (a) 4:52 (b) 4:42 (c) 5:52 (d) 5:02
7. 7.Kavya is a girl. How is Kavya’s brother’s daughter related to Kavya? (a) daughter (b) sister (c) cousin (d) niece
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 16 + 4 ÷ 7?
9. 9.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) D (b) J (c) T (d) Y
10. 10.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: 34 77 27 78 18 23. After step 4, what is the 2nd number from the left?
11. 11.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
12. 12.In a group of 42 children, 22 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
13. 13.Two standard dice show 1 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
14. 14.Rule: If the shop is open, then Dev buys milk. Fact: The shop is not open. What can you say about “Dev does not buy milk”? (a) must be true (b) must be false (c) can't tell
15. 15.Which number is the odd one out: 48, 95, 40, 85? (a) 48 (b) 95 (c) 40 (d) 85
16. 16.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) B (b) L (c) F (d) W
17. 17.Five friends (Aarav, Karan, Omkar, Pooja and Rohan) sit in a row. Left and right are as you look at them. Karan sits somewhere to the left of Aarav. Rohan sits somewhere to the left of Aarav. Karan does not sit at either end. Pooja sits next to both Rohan and Karan. Omkar sits next to both Karan and Aarav. Who sits just to the left of Karan? (a) Karan (b) Omkar (c) Pooja (d) Rohan
18. 18.Isha runs faster than Manav. Karan runs slower than Ishaan. Ishaan runs slower than Manav. Who runs the second fastest? (a) Manav (b) Isha (c) Ishaan (d) Karan
19. 19.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
20. 20.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
21. 21.If PEN is written as NEP, how is BOOK written in the same code? (a) JNNA (b) LPPC (c) KOOB (d) CPPL
22. 22.Siddharth runs faster than Nisha. Aisha runs slower than Nisha. Who runs the second fastest? (a) Aisha (b) Nisha (c) Siddharth
23. 23.Rohan is heavier than Myra. Rohan is lighter than Karan. Pooja is heavier than Karan. Who is the second heaviest? (a) Rohan (b) Myra (c) Karan (d) Pooja
24. 24.Two standard dice show 2 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
25. 25.1 January 2001 is a Monday. What day of the week is 17 November 2001? (a) Sunday (b) Friday (c) Monday (d) Saturday
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 3 × 3 − 2?
27. 27.Find the missing number. The same rule works in every row or in every column.
    7 | 2 | 14
    9 | 8 | 72
    ? | 4 | 20
28. 28.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: 62 53 84 92 49 80. After step 3, what is the 1st number from the left?
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: 57 16 83 59 23 34. After step 4, what is the 3rd number from the left?
30. 30.Rohan, Isha and Nisha each have a different pet: tortoise, parrot or rabbit. Isha does not have the rabbit. Nisha does not have the parrot. Isha does not have the tortoise. Rohan does not have the tortoise. Which pet does Isha have? (a) tortoise (b) parrot (c) rabbit
31. 31.Find the missing number. The same rule works in every row or in every column.
    5 | ? | 5
    12 | 20 | 15
    17 | 29 | 20
32. 32.Which number is the odd one out: 24, 47, 97, 29? (a) 24 (b) 47 (c) 97 (d) 29
33. 33.Pooja walks 14 m South, then turns around and walks 8 m. How far is she from the starting point now (in m)?
34. 34.Each person always tells the truth or always lies. Kabir says: “Isha and I are different kinds.” Isha says: “Kabir and I are the same kind.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
35. 35.Which number is the odd one out: 71, 13, 23, 16? (a) 71 (b) 13 (c) 23 (d) 16
36. 36.Four friends (Aditya, Nisha, Rahul and Saanvi) sit in a row. Left and right are as you look at them. Rahul sits next to both Aditya and Nisha. Aditya sits next to both Saanvi and Rahul. Aditya sits somewhere to the left of Nisha. Who sits at the right end? (a) Aditya (b) Rahul (c) Nisha (d) Saanvi
37. 37.Arjun, Kavya and Yash each have a bag of a different colour: yellow, green or white. Arjun’s bag is not green. Kavya’s bag is not white. Yash’s bag is not yellow. Arjun’s bag is not white. What colour is Arjun’s bag? (a) yellow (b) green (c) white
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 2 ÷ 12 × 3?
39. 39.If PEN is written as NCL, how is CAKE written in the same code? (a) ZXHB (b) BZJD (c) ECMG (d) AYIC
40. 40.Each person always tells the truth or always lies. Saanvi says: “Riya and I are different kinds.” Riya says: “Saanvi tells the truth.” Is Saanvi a truth-teller or a liar? (a) truth-teller (b) liar

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