Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 560 · 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.Find the missing number. The same rule works in every row or in every column.
   4 | 9 | 11
   2 | 3 | ?
   6 | 12 | 12
2. 2.Statements: Some bells are balls. All bells are books. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.Karan walks 4 km South, then turns left and walks 3 km. How far is he from the starting point now, in a straight line (in km)?
4. 4.A clock shows 2:12. What time does it show in a mirror? (a) 10:12 (b) 9:48 (c) 10:48 (d) 8:48
5. 5.Each person always tells the truth or always lies. Dev says: “At least one of us two, Diya or I, is a liar.” Diya says: “Dev and I both tell the truth.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.Tara is heavier than Kavya. Kavya is heavier than Yash. Tara is lighter than Kabir. Who is the heaviest? (a) Yash (b) Kavya (c) Kabir (d) Tara
7. 7.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   3 | 10 | 5
   8 | 6 | 4
   ? | 2 | 9
8. 8.Which number is the odd one out: 71, 35, 61, 73? (a) 71 (b) 35 (c) 61 (d) 73
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 15 ÷ 5 + 2?
10. 10.Diya is a girl. How is Diya’s mother’s mother related to Diya? (a) grandmother (b) aunt (c) mother (d) sister
11. 11.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
12. 12.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
13. 13.Find the missing number. The same rule works in every row or in every column.
    16 | 8 | 24
    ? | 15 | 23
    4 | 6 | 10
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 9 − 6 ÷ 11?
15. 15.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
16. 16.Rahul is a boy. How is Rahul’s father’s sister’s husband related to Rahul? (a) uncle (b) father (c) brother-in-law (d) grandfather
17. 17.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
18. 18.Aditya, Dev and Tara each play a different game: cricket, chess or badminton. Tara does not play cricket. Tara does not play chess. Dev does not play chess. Who plays chess? (a) Aditya (b) Dev (c) Tara
19. 19.Ishaan runs slower than Aditya. Aditya runs slower than Dev. Neel runs slower than Ishaan. Who runs the fastest? (a) Aditya (b) Neel (c) Dev (d) Ishaan
20. 20.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly three painted faces?
21. 21.Which capital letter does NOT look the same in a mirror? (a) U (b) A (c) V (d) Z
22. 22.Statements: All toys are caps. Some bags are toys. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
23. 23.If DESK is written as CDRJ, how is PARK written in the same code? (a) OZQJ (b) QBSL (c) NYPI (d) PARK
24. 24.Arjun is heavier than Ishaan. Arjun is lighter than Diya. Who is the lightest? (a) Ishaan (b) Arjun (c) Diya
25. 25.A clock shows 3:42. What time does it show in a mirror? (a) 9:18 (b) 9:42 (c) 7:18 (d) 8:18
26. 26.Runs scored in a cricket match: Aarav 55, Diya 21, Priya 8, Aisha 50, Rohan 6. How many children have more than 6 runs?
27. 27.Two standard dice show 5 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
28. 28.Kabir is a boy. How is Kabir’s daughter’s husband related to Kabir? (a) brother-in-law (b) son (c) nephew (d) son-in-law
29. 29.Statements: Some books are boxes. All boxes are toys. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
30. 30.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
31. 31.Aditya walks 14 m South, turns left and walks 15 m, then turns left again and walks 6 m. How far is he from the starting point now, in a straight line (in m)?
32. 32.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
33. 33.Myra walks 3 m South, then turns right and walks 4 m. How far is she from the starting point now, in a straight line (in m)?
34. 34.Books read in the summer holidays: Kavya 26, Saanvi 4, Yash 8, Aarav 18, Ira 3. What is the total for all five children?
35. 35.In a group of 35 children, 12 play cricket, 22 play football and 3 play both. How many play exactly one of the two?
36. 36.Three friends (Diya, Saanvi and Zoya) sit in a row. Left and right are as you look at them. Diya sits at the right end. Saanvi sits just to the right of Zoya. Who sits in the middle? (a) Saanvi (b) Zoya (c) Diya
37. 37.Four friends (Rahul, Rohan, Vivaan and Zoya) sit in a row. Left and right are as you look at them. Rohan does not sit at either end. Vivaan sits next to both Rahul and Rohan. Vivaan sits somewhere to the left of Zoya. Who sits at the right end? (a) Vivaan (b) Rohan (c) Zoya (d) Rahul
38. 38.Three friends (Aarav, Karan and Yash) sit in a row. Left and right are as you look at them. Karan sits just to the right of Aarav. Yash sits somewhere to the left of Karan. Who sits in the middle? (a) Karan (b) Yash (c) Aarav
39. 39.Each person always tells the truth or always lies. Farhan says: “Isha is a liar.” Isha says: “Farhan and I both tell the truth.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
40. 40.Yash, Pooja and Isha each have a different pet: parrot, dog or cat. Pooja does not have the cat. Isha does not have the dog. Yash does not have the parrot. Pooja does not have the parrot. Which pet does Isha have? (a) parrot (b) dog (c) cat

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