Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 961 · 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.I am a 2-digit number. My digits add up to 2 and my tens digit is 2 more than my ones digit. What number am I?
2. 2.Find the missing number. The same rule works in every row or in every column.
   18 | 2 | 6
   19 | 6 | ?
   8 | 8 | 10
3. 3.Aditya is a boy. How is Aditya’s son’s son related to Aditya? (a) nephew (b) brother (c) grandson (d) son
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 6 + 3 × 11?
5. 5.Which number is the odd one out: 67, 17, 28, 37? (a) 67 (b) 17 (c) 28 (d) 37
6. 6.Three friends (Myra, Neel and Saanvi) sit in a row. Left and right are as you look at them. Saanvi sits at the left end. Myra sits just to the right of Saanvi. Who sits just to the left of Neel? (a) Saanvi (b) Myra (c) Neel
7. 7.Saanvi is a girl. How is Saanvi’s mother’s brother’s son related to Saanvi? (a) brother (b) cousin (c) uncle (d) nephew
8. 8.Which number is the odd one out: 41, 33, 71, 11? (a) 41 (b) 33 (c) 71 (d) 11
9. 9.Find the missing number. The same rule works in every row or in every column.
   5 | 17 | 14
   10 | 3 | 4
   15 | 20 | ?
10. 10.Statements: All toys are balls. All toys are kites. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
11. 11.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: 28 21 47 76 13 35. After step 4, what is the 3rd number from the left?
12. 12.In a group of 47 children, 25 enjoy drawing, 28 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
13. 13.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?
14. 14.I am a 2-digit number. My digits add up to 17. If you swap my two digits, the new number is 9 more than me. What number am I?
15. 15.Arjun is shorter than Pooja. Rahul is shorter than Arjun. Who is the second shortest? (a) Rahul (b) Pooja (c) Arjun
16. 16.Saanvi walks 5 m South, then turns left and walks 12 m. How far is she from the starting point now, in a straight line (in m)?
17. 17.In a group of 36 children, 14 like mangoes, 13 like bananas and 2 like both. How many like only bananas?
18. 18.In a group of 48 children, 25 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
19. 19.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: 54 79 80 35 77 50. After step 4, what is the 6th number from the left?
20. 20.In a group of 26 grown-ups, 13 drink tea, 16 drink coffee and 7 drink both. How many drink exactly one of the two?
21. 21.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
22. 22.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: 45 50 25 64 51 12. After step 2, what is the 4th number from the left?
23. 23.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly three painted faces?
24. 24.Each person always tells the truth or always lies. Riya says: “Aisha and I are the same kind.” Omkar says: “Riya is a liar.” Aisha says: “Riya is a liar.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
25. 25.Kavya is taller than Aisha. Sneha is shorter than Pooja. Pooja is shorter than Aisha. Who is the shortest? (a) Kavya (b) Pooja (c) Aisha (d) Sneha
26. 26.Saanvi, Myra and Meera each play a different game: badminton, football or carrom. Saanvi does not play football. Myra does not play carrom. Saanvi does not play carrom. Who plays football? (a) Saanvi (b) Myra (c) Meera
27. 27.A clock shows 2:10. What time will it show 69 minutes later? (a) 3:29 (b) 4:19 (c) 3:09 (d) 3:19
28. 28.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 exactly one painted face?
29. 29.Vivaan is shorter than Dev. Yash is shorter than Vivaan. Who is the tallest? (a) Dev (b) Vivaan (c) Yash
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 8 ÷ 4 × 4?
31. 31.Steps climbed in a minute: Manav 58, Meera 38, Pooja 65, Priya 85, Rahul 22. How many more steps does Priya have than Rahul?
32. 32.Three friends (Ishaan, Kabir and Rahul) sit in a row. Left and right are as you look at them. Ishaan sits just to the right of Rahul. Ishaan sits at the right end. Who sits at the left end? (a) Kabir (b) Ishaan (c) Rahul
33. 33.Meera runs slower than Omkar. Omkar runs slower than Riya. Who runs the fastest? (a) Riya (b) Meera (c) Omkar
34. 34.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 3. What comes out after step 3?
35. 35.Sneha walks 15 m North, turns right and walks 24 m, then turns right again and walks 8 m. How far is she from the starting point now, in a straight line (in m)?
36. 36.Each person always tells the truth or always lies. Ananya says: “Siddharth and I both tell the truth.” Siddharth says: “Ananya and I are the same kind.” Is Siddharth a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.Two standard dice show 1 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
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: 23 74 22 83 43 18. After step 3, what is the 3rd number from the left?
39. 39.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
40. 40.How many degrees does the minute hand of a clock turn in 10 minutes? =

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