Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 975 · 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.A clock shows 2:21. What time does it show in a mirror? (a) 10:21 (b) 10:39 (c) 9:39 (d) 8:39
2. 2.In a group of 54 children, 22 play cricket, 20 play football and 2 play both. How many play only football?
3. 3.Books read in the summer holidays: Riya 4, Kabir 14, Arjun 23, Meera 10, Aarav 29. How many more books does Arjun have than Kabir?
4. 4.Which number is the odd one out: 23, 42, 83, 43? (a) 23 (b) 42 (c) 83 (d) 43
5. 5.A clock shows 3:49. What time will it show 78 minutes later? (a) 5:07 (b) 5:17 (c) 6:07 (d) 4:57
6. 6.I am a 2-digit number. My digits add up to 15. If you swap my two digits, the new number is 9 more than me. What number am I?
7. 7.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 6. What comes out after step 3?
8. 8.Which number is the odd one out: 53, 79, 37, 60? (a) 53 (b) 79 (c) 37 (d) 60
9. 9.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: 14 13 78 39 31 70. After step 4, what is the 1st number from the left?
10. 10.If KITE is written as GVKM, how is BOOK written in the same code? (a) MQQD (b) IMMZ (c) DQQM (d) KOOB
11. 11.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 6. What comes out after step 3?
12. 12.A clock shows 2:14. What time does it show in a mirror? (a) 10:46 (b) 10:14 (c) 8:46 (d) 9:46
13. 13.Each person always tells the truth or always lies. Yash says: “Isha is a liar.” Farhan says: “Yash and I both tell the truth.” Isha says: “At least one of us two, Yash or I, is a liar.” Is Farhan a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Statements: No shoes are pens. All shoes are books. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.Aarav walks 14 m East, then turns right and walks 6 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
16. 16.If BOAT is written as TAOB, how is MOON written in the same code? (a) MNNL (b) NPPO (c) NOOM (d) OPPN
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 stop”? (a) must be true (b) must be false (c) can't tell
18. 18.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    15 | 13 | 23
    25 | 17 | ?
    11 | 21 | 19
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 5 − 17 ÷ 19?
20. 20.Is 1990 a leap year? (a) Yes (b) No
21. 21.In a group of 41 children, 14 like mangoes, 24 like bananas and 6 like both. How many like at least one of the two?
22. 22.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) B (b) L (c) N (d) Q
23. 23.If SHIP is written as QFGN, how is WIND written in the same code? (a) TFKA (b) UGLB (c) YKPF (d) VHMC
24. 24.Tara is lighter than Aditya. Aditya is lighter than Yash. Rohan is heavier than Yash. Who is the second lightest? (a) Tara (b) Aditya (c) Rohan (d) Yash
25. 25.Is 1997 a leap year? (a) Yes (b) No
26. 26.Each person always tells the truth or always lies. Karan says: “Aisha is a liar.” Aisha says: “Karan and I are the same kind.” Is Aisha a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.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: 59 22 95 84 13 11. After step 3, what is the 3rd number from the left?
28. 28.Vivaan walks 14 m North, then turns right and walks 15 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
29. 29.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
30. 30.I am a 2-digit number. My digits add up to 15. If you swap my two digits, the new number is 27 more than me. What number am I?
31. 31.Sneha, Karan and Vivaan each have a different pet: parrot, cat or dog. Karan does not have the dog. Sneha does not have the cat. Vivaan does not have the parrot. Sneha does not have the parrot. Which pet does Karan have? (a) parrot (b) cat (c) dog
32. 32.In a group of 23 grown-ups, 10 drink tea, 10 drink coffee and 2 drink both. How many drink neither of the two?
33. 33.Which capital letter looks exactly the same in a mirror? (a) B (b) F (c) O (d) G
34. 34.In a group of 40 grown-ups, 10 drink tea, 24 drink coffee and 7 drink both. How many drink at least one of the two?
35. 35.Find the missing number. The same rule works in every row or in every column.
    8 | 4 | 32
    9 | 6 | 54
    ? | 4 | 32
36. 36.Which number is the odd one out: 47, 38, 2, 41? (a) 47 (b) 38 (c) 2 (d) 41
37. 37.Ishaan, Sneha and Rohan each play a different game: carrom, football or badminton. Ishaan does not play badminton. Rohan does not play carrom. Rohan does not play football. Ishaan does not play carrom. Which game does Ishaan play? (a) carrom (b) football (c) badminton
38. 38.Which number is the odd one out: 78, 24, 96, 34? (a) 78 (b) 24 (c) 96 (d) 34
39. 39.Today is Friday. What day of the week will it be 63 days from today? (a) Friday (b) Sunday (c) Saturday (d) Thursday
40. 40.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =

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