Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 168 · 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 9:30? (in degrees) =
2. 2.Farhan is a boy. How is Farhan’s mother’s brother related to Farhan? (a) grandfather (b) cousin (c) brother (d) uncle
3. 3.Which capital letter looks exactly the same in a mirror? (a) Q (b) P (c) V (d) F
4. 4.Statements: Some boxes are balls. No balls are pens. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
5. 5.If RAIN is written as NIAR, how is TOYS written in the same code? (a) RXNS (b) TZPU (c) SYOT (d) UPZT
6. 6.Omkar walks 11 m West, turns left and walks 24 m, then turns left again and walks 4 m. How far is he from the starting point now, in a straight line (in m)?
7. 7.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan does not go to the park. What can you say about “Farhan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
8. 8.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: 15 11 70 93 35 81. After step 4, what is the 6th number from the left?
9. 9.In a group of 30 children, 8 sing Hindi songs, 16 sing English songs and 2 sing both. How many sing exactly one of the two?
10. 10.Which number is the odd one out: 71, 97, 52, 31? (a) 71 (b) 97 (c) 52 (d) 31
11. 11.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: 91 60 53 99 36 77. After step 3, what is the 1st number from the left?
12. 12.Ananya is a girl. How is Ananya’s brother’s wife related to Ananya? (a) sister-in-law (b) aunt (c) cousin (d) sister
13. 13.Siddharth runs faster than Aisha. Siddharth runs slower than Kabir. Who runs the fastest? (a) Aisha (b) Siddharth (c) Kabir
14. 14.Five friends (Ishaan, Rohan, Siddharth, Sneha and Zoya) sit in a row. Left and right are as you look at them. Rohan sits somewhere to the left of Siddharth. Zoya sits somewhere to the left of Siddharth. Zoya sits next to both Rohan and Sneha. Sneha sits next to both Zoya and Siddharth. Sneha sits somewhere to the left of Ishaan. Who sits at the right end? (a) Siddharth (b) Rohan (c) Ishaan (d) Sneha
15. 15.Which capital letter does NOT look the same in a mirror? (a) M (b) Y (c) D (d) W
16. 16.Arjun, Tara and Kabir each play a different game: football, chess or carrom. Tara does not play chess. Tara does not play football. Arjun does not play football. Which game does Arjun play? (a) football (b) chess (c) carrom
17. 17.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 3. What comes out after step 2?
18. 18.Vivaan is older than Priya. Vivaan is younger than Ananya. Priya is older than Ishaan. Who is the oldest? (a) Ishaan (b) Priya (c) Ananya (d) Vivaan
19. 19.Statements: Some pens are caps. All pens are shoes. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
20. 20.Find the missing number. The same rule works in every row or in every column.
    8 | 2 | 16
    4 | 4 | ?
    2 | 4 | 8
21. 21.Which number is the odd one out: 96, 72, 18, 86? (a) 96 (b) 72 (c) 18 (d) 86
22. 22.If HAND is written as FYLB, how is BOOK written in the same code? (a) ZMMI (b) YLLH (c) DQQM (d) ANNJ
23. 23.Riya, Dev and Neel each play a different game: cricket, chess or football. Dev does not play chess. Riya does not play chess. Dev does not play football. Which game does Neel play? (a) cricket (b) chess (c) football
24. 24.Find the missing number. The same rule works in every row or in every column.
    8 | 19 | 10
    18 | 13 | 11
    ? | 32 | 21
25. 25.How many degrees does the hour hand of a clock turn in 84 minutes? =
26. 26.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan does not finish the homework. What can you say about “Vivaan does not go to the park”? (a) must be true (b) must be false (c) can't tell
27. 27.Which number is the odd one out: 56, 40, 80, 7? (a) 56 (b) 40 (c) 80 (d) 7
28. 28.Statements: Some books are bags. All bags are bells. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.Is 2035 a leap year? (a) Yes (b) No
30. 30.Two standard dice show 3 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
31. 31.Marks in a maths test (out of 50): Dev 31, Rohan 45, Ira 22, Ananya 29, Tara 43. Who has the most marks? (a) Dev (b) Rohan (c) Ira (d) Ananya
32. 32.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: 25 11 66 23 20 88. After step 4, what is the 5th number from the left?
33. 33.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 4 + 18 − 10?
35. 35.Which number is the odd one out: 13, 41, 37, 81? (a) 13 (b) 41 (c) 37 (d) 81
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 11 ÷ 20 − 16?
37. 37.Find the missing number. The same rule works in every row or in every column.
    6 | ? | 17
    11 | 9 | 20
    6 | 13 | 19
38. 38.Statements: All bags are toys. All bags are bells. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 16 × 12 − 2?
40. 40.Statements: Some bells are balls. No keys are balls. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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