Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 888 · 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.
   7 | 19 | 8
   12 | 16 | 9
   19 | ? | 17
2. 2.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   5 | 10 | ?
   4 | 6 | 8
   9 | 2 | 7
3. 3.Isha walks 27 m North, then turns around and walks 21 m. How far is she from the starting point now (in m)?
4. 4.Marks in a maths test (out of 50): Priya 23, Isha 19, Karan 38, Rohan 30, Arjun 20. What is the difference between the highest and the lowest?
5. 5.The sum of three consecutive even numbers is 114. What is the smallest of them?
6. 6.Nisha, Farhan and Aisha each play a different game: carrom, badminton or chess. Farhan does not play badminton. Aisha does not play chess. Farhan does not play carrom. Aisha does not play carrom. Which game does Farhan play? (a) carrom (b) badminton (c) chess
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 10 + 2 − 12?
8. 8.Find the missing number. The same rule works in every row or in every column.
   6 | 5 | 2
   5 | 1 | ?
   1 | 2 | 10
9. 9.Each person always tells the truth or always lies. Dev says: “Zoya tells the truth.” Zoya says: “Isha is a liar.” Isha says: “At least one of us two, Dev or I, is a liar.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.Siddharth is a boy. How is Siddharth’s mother’s mother related to Siddharth? (a) sister (b) aunt (c) grandmother (d) mother
11. 11.Trees planted in a week: Ishaan 29, Aditya 11, Saanvi 36, Kavya 22, Karan 19. How many more trees does Kavya have than Karan?
12. 12.Siddharth, Vivaan and Priya each have a different pet: cat, tortoise or dog. Siddharth does not have the dog. Siddharth does not have the tortoise. Priya does not have the tortoise. Which pet does Vivaan have? (a) cat (b) tortoise (c) dog
13. 13.If LAMP is written as ODPS, how is TOYS written in the same code? (a) VQAU (b) WRBV (c) QLVP (d) XSCW
14. 14.Rule: If the shop is open, then Arjun buys milk. Fact: Arjun buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
15. 15.Books read in the summer holidays: Priya 13, Zoya 5, Dev 27, Ira 12, Farhan 8. Who has the fewest books? (a) Priya (b) Farhan (c) Ira (d) Zoya
16. 16.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: 78 70 32 31 10 15. After step 3, what is the 1st number from the left?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 5 − 18 + 6?
18. 18.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
19. 19.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not finish the homework. What can you say about “Arjun does not go to the park”? (a) must be true (b) must be false (c) can't tell
20. 20.1 January 2034 is a Sunday. What day of the week is 4 February 2034? (a) Friday (b) Monday (c) Sunday (d) Saturday
21. 21.Zoya, Ishaan and Priya each have a different pet: tortoise, cat or dog. Zoya does not have the tortoise. Priya does not have the dog. Ishaan does not have the tortoise. Zoya does not have the cat. Which pet does Zoya have? (a) tortoise (b) cat (c) dog
22. 22.Dev walks 7 m North, turns right and walks 12 m, then turns right again and walks 2 m. How far is he from the starting point now, in a straight line (in m)?
23. 23.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    14 | 11 | 26
    29 | ? | 5
    8 | 23 | 20
24. 24.If TREE is written as GGTV, how is BELL written in the same code? (a) JJCZ (b) NNGD (c) LLEB (d) DGNN
25. 25.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    9 | ? | 11
    14 | 12 | 10
    13 | 8 | 15
26. 26.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: 75 73 22 43 50 11. After step 4, what is the 4th number from the left?
27. 27.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    16 | ? | 12
    14 | 18 | 22
    24 | 10 | 20
28. 28.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
29. 29.Statements: All shoes are balls. No balls are books. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
30. 30.Siddharth, Dev and Aisha each have a different pet: tortoise, parrot or dog. Aisha does not have the tortoise. Siddharth does not have the dog. Dev does not have the tortoise. Aisha does not have the dog. Who has the dog? (a) Siddharth (b) Dev (c) Aisha
31. 31.Diya is younger than Yash. Yash is younger than Meera. Who is the second youngest? (a) Meera (b) Diya (c) Yash
32. 32.Statements: All pens are bells. All bells are rings. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
33. 33.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: 73 66 28 14 37 94. After step 2, what is the 1st number from the left?
34. 34.Each person always tells the truth or always lies. Rohan says: “Ishaan and I are different kinds.” Ishaan says: “Neel is a liar.” Neel says: “Rohan and I are different kinds.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
35. 35.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 at least one painted face?
36. 36.In a group of 40 children, 20 enjoy drawing, 21 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
37. 37.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: 79 28 27 76 58 10. After step 2, what is the 3rd number from the left?
38. 38.Rohan is lighter than Vivaan. Diya is heavier than Vivaan. Aarav is lighter than Rohan. Who is the second lightest? (a) Aarav (b) Diya (c) Rohan (d) Vivaan
39. 39.Dev walks 23 m East, then turns around and walks 13 m. How far is he from the starting point now (in m)?
40. 40.A clock shows 5:57. What time will it show 165 minutes later? (a) 8:32 (b) 8:42 (c) 9:42 (d) 8:52

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