Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 964 · 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 wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have at least one painted face?
2. 2.Which number is the odd one out: 50, 10, 47, 22? (a) 50 (b) 10 (c) 47 (d) 22
3. 3.In a group of 50 children, 26 enjoy drawing, 20 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
4. 4.Is 2022 a leap year? (a) Yes (b) No
5. 5.Rahul walks 4 m East, then turns right and walks 5 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
6. 6.Dev, Siddharth and Isha each have a bag of a different colour: white, blue or red. Dev’s bag is not white. Siddharth’s bag is not red. Dev’s bag is not blue. Siddharth’s bag is not white. What colour is Dev’s bag? (a) white (b) blue (c) red
7. 7.In a group of 32 children, 6 play cricket, 22 play football and 3 play both. How many play only football?
8. 8.Saanvi walks 25 m North, turns right and walks 12 m, then turns right again and walks 9 m. How far is she from the starting point now, in a straight line (in m)?
9. 9.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
10. 10.Each person always tells the truth or always lies. Nisha says: “Priya is a liar.” Priya says: “At least one of us two, Nisha or I, is a liar.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
11. 11.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 5 × 17 − 19?
13. 13.Is 2023 a leap year? (a) Yes (b) No
14. 14.Which capital letter does NOT look the same in a mirror? (a) M (b) O (c) U (d) N
15. 15.A clock shows 5:40. What time will it show 76 minutes later? (a) 6:46 (b) 7:56 (c) 7:06 (d) 6:56
16. 16.In a group of 47 children, 14 like mangoes, 22 like bananas and 4 like both. How many like only bananas?
17. 17.Aditya runs slower than Neel. Myra runs faster than Neel. Who runs the second slowest? (a) Aditya (b) Myra (c) Neel
18. 18.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: 80 78 26 32 19 70. After step 4, what is the 1st number from the left?
19. 19.Ishaan is shorter than Zoya. Nisha is shorter than Ishaan. Ira is shorter than Nisha. Who is the second tallest? (a) Nisha (b) Ira (c) Zoya (d) Ishaan
20. 20.In a group of 40 grown-ups, 16 drink tea, 20 drink coffee and 8 drink both. How many drink neither of the two?
21. 21.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have no painted face?
22. 22.In a group of 45 children, 24 sing Hindi songs, 18 sing English songs and 6 sing both. How many sing only Hindi songs?
23. 23.Runs scored in a cricket match: Kabir 43, Tara 19, Siddharth 6, Diya 33, Isha 17. How many more runs does Kabir have than Isha?
24. 24.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
25. 25.23 October is a Wednesday. What day of the week is 23 November of the same year? (a) Sunday (b) Monday (c) Saturday (d) Friday
26. 26.A clock shows 6:50. What time does it show in a mirror? (a) 6:50 (b) 5:10 (c) 4:10 (d) 6:10
27. 27.A clock shows 8:47. What time does it show in a mirror? (a) 4:13 (b) 3:13 (c) 2:13 (d) 4:47
28. 28.Statements: All pens are cups. Some pens are boxes. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.Books read in the summer holidays: Aditya 13, Priya 18, Aisha 12, Manav 19, Karan 24. Who has the fewest books? (a) Karan (b) Aditya (c) Aisha (d) Manav
30. 30.Steps climbed in a minute: Aarav 58, Manav 71, Riya 50, Tara 22, Kavya 36. How many more steps does Manav have than Kavya?
31. 31.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira goes to the park. What can you say about “Ira does not finish the homework”? (a) must be true (b) must be false (c) can't tell
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 13 + 12 − 3?
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: 92 84 35 54 96 43. After step 3, what is the 1st number from the left?
34. 34.Which capital letter looks exactly the same in a mirror? (a) B (b) E (c) L (d) M
35. 35.Each person always tells the truth or always lies. Kavya says: “Myra is a liar.” Ananya says: “Kavya and I are the same kind.” Myra says: “Ananya and I are different kinds.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
36. 36.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) C (b) Q (c) G (d) V
37. 37.Which number is the odd one out: 56, 29, 28, 8? (a) 56 (b) 29 (c) 28 (d) 8
38. 38.Dev walks 17 m South, turns left and walks 8 m, then turns left again and walks 2 m. How far is he from the starting point now, in a straight line (in m)?
39. 39.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    24 | 14 | ?
    10 | 18 | 26
    20 | 22 | 12
40. 40.Which number is the odd one out: 83, 55, 43, 23? (a) 83 (b) 55 (c) 43 (d) 23

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