Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 84 · 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.Pooja walks 9 m North, then turns around and walks 6 m. How far is she from the starting point now (in m)?
2. 2.If FISH is written as GRHE, how is BALL written in the same code? (a) KKZA (b) MMBC (c) AZKK (d) LLAB
3. 3.Statements: Some keys are toys. All toys are cups. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
4. 4.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   12 | 14 | 4
   2 | 10 | ?
   16 | 6 | 8
5. 5.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha does not go to the park. What can you say about “Isha finishes the homework”? (a) must be true (b) must be false (c) can't tell
6. 6.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: 92 82 50 64 36 61. After step 2, what is the 2nd number from the left?
7. 7.If HAND is written as CMZG, how is WIND written in the same code? (a) VHMC (b) CMHV (c) EOJX (d) DNIW
8. 8.In a group of 55 children, 26 play chess, 24 play carrom and 9 play both. How many play only chess?
9. 9.Which number is the odd one out: 37, 17, 74, 19? (a) 37 (b) 17 (c) 74 (d) 19
10. 10.Two standard dice show 1 and 3 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 17 × 8 ÷ 15?
12. 12.Trees planted in a week: Sneha 38, Karan 8, Yash 7, Aditya 11, Kavya 24. Who has the fewest trees? (a) Aditya (b) Sneha (c) Karan (d) Yash
13. 13.Yash is a boy. How is Yash’s mother’s brother’s son related to Yash? (a) nephew (b) uncle (c) brother (d) cousin
14. 14.I am a 2-digit number. My digits add up to 9 and my tens digit is 1 more than my ones digit. What number am I?
15. 15.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
16. 16.Trees planted in a week: Aisha 26, Omkar 38, Siddharth 31, Aditya 23, Rohan 14. What is the difference between the highest and the lowest?
17. 17.If SHIP is written as OHGR, how is LION written in the same code? (a) KHNM (b) NOIL (c) MNHK (d) OPJM
18. 18.Farhan is taller than Neel. Neel is taller than Aisha. Who is the second shortest? (a) Aisha (b) Farhan (c) Neel
19. 19.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) A (b) V (c) B (d) J
20. 20.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
21. 21.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 4. What comes out after step 2?
22. 22.I am a 2-digit number. My digits add up to 5 and my tens digit is 5 more than my ones digit. What number am I?
23. 23.Steps climbed in a minute: Neel 36, Riya 38, Kavya 86, Farhan 48, Siddharth 50. What is the total for all five children?
24. 24.Today is Monday. What day of the week will it be 67 days from today? (a) Thursday (b) Saturday (c) Friday (d) Sunday
25. 25.Diya walks 30 m West, then turns around and walks 7 m. How far is she from the starting point now (in m)?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 2 ÷ 2 + 2?
27. 27.Is 1600 a leap year? (a) Yes (b) No
28. 28.Aisha walks 20 m West, turns left and walks 8 m, then turns left again and walks 5 m. How far is she from the starting point now, in a straight line (in m)?
29. 29.Find the missing number. The same rule works in every row or in every column.
    8 | 2 | 16
    5 | 4 | 20
    ? | 7 | 63
30. 30.If LAMP is written as PMAL, how is BOAT written in the same code? (a) CPBU (b) SZNA (c) UBPC (d) TAOB
31. 31.In a group of 42 children, 18 sing Hindi songs, 26 sing English songs and 6 sing both. How many sing only Hindi songs?
32. 32.Aisha is a girl. How is Aisha’s mother’s father related to Aisha? (a) father (b) grandson (c) grandfather (d) uncle
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 17 × 18 − 3?
34. 34.I am a 2-digit number. My digits add up to 9 and my tens digit is 3 more than my ones digit. What number am I?
35. 35.Each person always tells the truth or always lies. Neel says: “Nisha and I both tell the truth.” Nisha says: “Neel is a liar.” Saanvi says: “Neel tells the truth.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
36. 36.Four friends (Aisha, Farhan, Ira and Saanvi) sit in a row. Left and right are as you look at them. Saanvi sits just to the right of Farhan. Saanvi does not sit at either end. Aisha sits at the right end. Saanvi sits next to both Farhan and Aisha. Who sits at the left end? (a) Ira (b) Aisha (c) Farhan (d) Saanvi
37. 37.Each person always tells the truth or always lies. Saanvi says: “Aarav and I both tell the truth.” Siddharth says: “Aarav is a liar.” Aarav says: “At least one of us two, Saanvi or I, is a liar.” Is Siddharth a truth-teller or a liar? (a) truth-teller (b) liar
38. 38.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly two painted faces?
39. 39.Kites flown at Makar Sankranti: Ira 9, Arjun 20, Neel 24, Vivaan 13, Saanvi 10. Who has the most kites? (a) Arjun (b) Saanvi (c) Ira (d) Neel
40. 40.I am a 2-digit number. My digits add up to 12. If you swap my two digits, the new number is 54 more than me. What number am I?

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