Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 531 · 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.
   17 | 3 | 5
   3 | 11 | 11
   20 | 14 | ?
2. 2.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
3. 3.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly three painted faces?
4. 4.Which number is the odd one out: 18, 64, 16, 36? (a) 18 (b) 64 (c) 16 (d) 36
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 7 ÷ 12 + 14?
6. 6.Steps climbed in a minute: Saanvi 54, Riya 27, Kavya 23, Ishaan 76, Tara 28. How many children have more than 24 steps?
7. 7.Statements: No pens are coins. Some cups are pens. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.Isha is a girl. How is Isha’s daughter’s husband related to Isha? (a) brother-in-law (b) son (c) son-in-law (d) nephew
9. 9.Which number is the odd one out: 41, 24, 11, 29? (a) 41 (b) 24 (c) 11 (d) 29
10. 10.A clock shows 8:32. What time does it show in a mirror? (a) 4:32 (b) 2:28 (c) 4:28 (d) 3:28
11. 11.Each person always tells the truth or always lies. Pooja says: “Diya is a liar.” Diya says: “Pooja and I are different kinds.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
12. 12.Each person always tells the truth or always lies. Aditya says: “Kavya and I are the same kind.” Kavya says: “Aditya and I both tell the truth.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 12 ÷ 9 + 9?
14. 14.Dev is facing East. He turns right, then turns around (a half turn). Which direction is he facing now? (a) North (b) East (c) South (d) West
15. 15.A clock shows 9:19. What time does it show in a mirror? (a) 1:41 (b) 2:41 (c) 3:41 (d) 3:19
16. 16.Is 2035 a leap year? (a) Yes (b) No
17. 17.The sum of three consecutive numbers is 30. What is the largest of them?
18. 18.1 January 2004 is a Thursday. What day of the week is 29 April 2004? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
19. 19.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
20. 20.Each person always tells the truth or always lies. Omkar says: “Saanvi and I are different kinds.” Saanvi says: “Omkar is a liar.” Is Saanvi a truth-teller or a liar? (a) truth-teller (b) liar
21. 21.In a group of 27 children, 18 play cricket, 10 play football and 3 play both. How many play exactly one of the two?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 2 − 6 ÷ 7?
23. 23.Aarav is a boy. How is Aarav’s sister’s son related to Aarav? (a) nephew (b) brother (c) son (d) cousin
24. 24.Meera, Nisha and Ira each have a different pet: cat, rabbit or dog. Meera does not have the cat. Ira does not have the dog. Nisha does not have the cat. Meera does not have the rabbit. Who has the cat? (a) Meera (b) Nisha (c) Ira
25. 25.Aarav walks 19 m East, turns right and walks 5 m, then turns right again and walks 7 m. How far is he from the starting point now, in a straight line (in m)?
26. 26.A clock shows 3:36. What time will it show 34 minutes later? (a) 5:10 (b) 4:20 (c) 4:00 (d) 4:10
27. 27.A clock shows 1:27. What time does it show in a mirror? (a) 9:33 (b) 11:33 (c) 11:27 (d) 10:33
28. 28.Marks in a maths test (out of 50): Neel 19, Arjun 35, Dev 41, Zoya 16, Rahul 21. Who has the fewest marks? (a) Neel (b) Zoya (c) Rahul (d) Arjun
29. 29.Which number is the odd one out: 67, 24, 37, 43? (a) 67 (b) 24 (c) 37 (d) 43
30. 30.If SUN is written as VXQ, how is RAIN written in the same code? (a) OXFK (b) UDLQ (c) TCKP (d) VEMR
31. 31.Find the missing number. The same rule works in every row or in every column.
    13 | ? | 1
    10 | 15 | 19
    23 | 16 | 20
32. 32.Three friends (Isha, Ishaan and Riya) sit in a row. Left and right are as you look at them. Riya sits next to both Ishaan and Isha. Ishaan sits somewhere to the left of Isha. Who sits at the left end? (a) Riya (b) Isha (c) Ishaan
33. 33.Ira, Riya and Manav each have a different pet: dog, cat or rabbit. Riya does not have the rabbit. Manav does not have the cat. Ira does not have the dog. Riya does not have the dog. Which pet does Riya have? (a) dog (b) cat (c) rabbit
34. 34.Kavya is younger than Farhan. Nisha is younger than Kavya. Who is the second oldest? (a) Nisha (b) Farhan (c) Kavya
35. 35.Find the missing number. The same rule works in every row or in every column.
    10 | ? | 15
    5 | 2 | 8
    15 | 7 | 23
36. 36.Each person always tells the truth or always lies. Ira says: “Aditya and I are the same kind.” Aditya says: “Ira tells the truth.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 15 − 19 + 12?
38. 38.Priya is facing West. She turns right, then turns right, then turns around (a half turn), then turns around (a half turn). Which direction is she facing now? (a) North (b) East (c) South (d) West
39. 39.Which number is the odd one out: 19, 29, 33, 73? (a) 19 (b) 29 (c) 33 (d) 73
40. 40.Which number is the odd one out: 47, 19, 13, 15? (a) 47 (b) 19 (c) 13 (d) 15

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