Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 822 · 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.If BOOK is written as ANNJ, how is SHIP written in the same code? (a) SHIP (b) TIJQ (c) RGHO (d) QFGN
2. 2.Which capital letter does NOT look the same in a mirror? (a) Y (b) A (c) O (d) B
3. 3.Ishaan walks 22 m South, then turns around and walks 6 m. How far is he from the starting point now (in m)?
4. 4.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 6. What comes out after step 2?
5. 5.In a group of 39 grown-ups, 29 drink tea, 17 drink coffee and 9 drink both. How many drink only tea?
6. 6.Each person always tells the truth or always lies. Aditya says: “Kavya is a liar.” Kavya says: “Aditya and I both tell the truth.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
7. 7.Two standard dice show 2 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
8. 8.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya does not get a medal. What can you say about “Aditya does not win the match”? (a) must be true (b) must be false (c) can't tell
9. 9.Find the missing number. The same rule works in every row or in every column.
   4 | 9 | 13
   17 | 8 | 25
   ? | 12 | 30
10. 10.Find the missing number. The same rule works in every row or in every column.
    2 | 9 | ?
    3 | 7 | 21
    5 | 3 | 15
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 14 − 11 × 17?
12. 12.Which capital letter does NOT look the same in a mirror? (a) W (b) A (c) I (d) G
13. 13.Farhan is lighter than Arjun. Arjun is lighter than Sneha. Who is the second heaviest? (a) Arjun (b) Sneha (c) Farhan
14. 14.Statements: Some balls are shoes. Some balls are bags. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.If CAKE is written as DBLF, how is LION written in the same code? (a) KHNM (b) OPJM (c) MJPO (d) NKQP
16. 16.Today is Wednesday. What day of the week will it be 18 days from today? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
17. 17.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 6 × 6 ÷ 4?
19. 19.Find the missing number. The same rule works in every row or in every column.
    16 | ? | 26
    6 | 7 | 13
    5 | 12 | 17
20. 20.Each person always tells the truth or always lies. Zoya says: “Aditya is a liar.” Aditya says: “At least one of us two, Zoya or I, is a liar.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar
21. 21.A clock shows 11:59. What time does it show in a mirror? (a) 11:01 (b) 1:01 (c) 12:01 (d) 1:59
22. 22.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
23. 23.Find the missing number. The same rule works in every row or in every column.
    5 | 3 | 15
    3 | ? | 21
    3 | 9 | 27
24. 24.Ananya is older than Tara. Rahul is older than Ananya. Who is the youngest? (a) Rahul (b) Tara (c) Ananya
25. 25.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
26. 26.Neel walks 12 km South, then turns left and walks 16 km. How far is he from the starting point now, in a straight line (in km)?
27. 27.Is 2200 a leap year? (a) Yes (b) No
28. 28.Find the missing number. The same rule works in every row or in every column.
    14 | 12 | 3
    26 | 1 | 2
    ? | 9 | 1
29. 29.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
30. 30.Each person always tells the truth or always lies. Dev says: “Karan is a liar.” Isha says: “Dev and I both tell the truth.” Karan says: “Isha tells the truth.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.Omkar is a boy. How is Omkar’s sister’s daughter related to Omkar? (a) daughter (b) sister (c) aunt (d) niece
32. 32.Books read in the summer holidays: Vivaan 11, Ishaan 29, Diya 21, Ananya 22, Meera 25. What is the difference between the highest and the lowest?
33. 33.Statements: No balls are kites. All balls are cups. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
34. 34.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 at least one painted face?
35. 35.Three friends (Aisha, Farhan and Omkar) sit in a row. Left and right are as you look at them. Aisha sits next to both Omkar and Farhan. Omkar sits somewhere to the left of Farhan. Who sits just to the right of Omkar? (a) Omkar (b) Aisha (c) Farhan
36. 36.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
37. 37.Aarav, Tara and Riya each have a different pet: dog, rabbit or tortoise. Tara does not have the tortoise. Riya does not have the rabbit. Aarav does not have the tortoise. Tara does not have the dog. Which pet does Riya have? (a) dog (b) rabbit (c) tortoise
38. 38.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: 62 77 20 95 59 30. After step 3, what is the 1st number from the left?
39. 39.A clock shows 11:31. What time will it show 139 minutes later? (a) 2:50 (b) 2:00 (c) 1:50 (d) 1:40
40. 40.Diya walks 19 m West, then turns around and walks 5 m. How far is she from the starting point now (in m)?

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