Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 318 · 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.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 7 × 19 + 5?
3. 3.In a group of 54 children, 23 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
4. 4.Sneha, Saanvi and Siddharth each have a different pet: parrot, tortoise or rabbit. Saanvi does not have the tortoise. Siddharth does not have the parrot. Saanvi does not have the rabbit. Siddharth does not have the tortoise. Who has the parrot? (a) Sneha (b) Saanvi (c) Siddharth
5. 5.Which capital letter looks exactly the same in a mirror? (a) G (b) S (c) D (d) A
6. 6.Two standard dice show 4 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
7. 7.Aditya is a boy. How is Aditya’s mother’s brother’s son related to Aditya? (a) nephew (b) uncle (c) brother (d) cousin
8. 8.Which number is the odd one out: 64, 16, 32, 97? (a) 64 (b) 16 (c) 32 (d) 97
9. 9.Which number is the odd one out: 94, 29, 17, 71? (a) 94 (b) 29 (c) 17 (d) 71
10. 10.Diya walks 9 m East, turns right and walks 4 m, then turns right again and walks 6 m. How far is she from the starting point now, in a straight line (in m)?
11. 11.Marks in a maths test (out of 50): Dev 29, Isha 36, Ira 15, Ishaan 17, Siddharth 26. What is the total for all five children?
12. 12.Find the missing number. The same rule works in every row or in every column.
    7 | 5 | 6
    ? | 1 | 1
    8 | 8 | 2
13. 13.Which number is the odd one out: 97, 67, 50, 53? (a) 97 (b) 67 (c) 50 (d) 53
14. 14.Myra, Ananya and Yash each have a different pet: dog, cat or parrot. Yash does not have the dog. Yash does not have the parrot. Ananya does not have the dog. Which pet does Ananya have? (a) dog (b) cat (c) parrot
15. 15.Four friends (Aditya, Arjun, Meera and Siddharth) sit in a row. Left and right are as you look at them. Siddharth sits next to both Aditya and Meera. Siddharth sits just to the right of Aditya. Arjun sits just to the right of Meera. Who sits at the left end? (a) Aditya (b) Meera (c) Siddharth (d) Arjun
16. 16.Runs scored in a cricket match: Aisha 39, Tara 25, Zoya 29, Pooja 51, Riya 27. Who has the most runs? (a) Zoya (b) Tara (c) Pooja (d) Aisha
17. 17.Arjun is a boy. How is Arjun’s father’s sister’s husband related to Arjun? (a) uncle (b) father (c) grandfather (d) brother-in-law
18. 18.Isha walks 15 m North, turns left and walks 8 m, then turns left again and walks 9 m. How far is she from the starting point now, in a straight line (in m)?
19. 19.How many degrees does the hour hand of a clock turn in 159 minutes? =
20. 20.Aditya is a boy. How is Aditya’s mother’s only daughter related to Aditya? (a) niece (b) mother (c) sister (d) aunt
21. 21.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 6. What comes out after step 2?
22. 22.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
23. 23.Manav is a boy. How is Manav’s father’s father’s only son related to Manav? (a) grandfather (b) brother (c) uncle (d) father
24. 24.Rule: If the shop is open, then Myra buys milk. Fact: The shop is not open. What can you say about “Myra buys milk”? (a) must be true (b) must be false (c) can't tell
25. 25.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have exactly two painted faces?
26. 26.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    28 | 13 | 34
    31 | ? | 19
    16 | 37 | 22
27. 27.I am a 2-digit number. My digits add up to 15 and my tens digit is 1 more than my ones digit. What number am I?
28. 28.In a group of 40 children, 25 play chess, 12 play carrom and 5 play both. How many play only chess?
29. 29.In a group of 36 children, 26 play cricket, 13 play football and 7 play both. How many play only football?
30. 30.Each person always tells the truth or always lies. Aditya says: “Neel tells the truth.” Neel says: “Aditya and I are the same kind.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
32. 32.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have exactly two painted faces?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 4 − 11 + 10?
34. 34.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
35. 35.Karan is facing North. He turns right, then turns right, then turns right, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
36. 36.Each person always tells the truth or always lies. Rohan says: “Kavya and I both tell the truth.” Kavya says: “At least one of us two, Rohan or I, is a liar.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.Each person always tells the truth or always lies. Saanvi says: “Omkar and I are the same kind.” Omkar says: “Kabir and I are the same kind.” Kabir says: “Saanvi is a liar.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
38. 38.I am a 2-digit number. My digits add up to 11. If you swap my two digits, the new number is 63 more than me. What number am I?
39. 39.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
40. 40.Ananya is facing North. She turns right, then turns right, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West

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