Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 931 · 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 7:10? (in degrees) =
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 4 ÷ 3 − 7?
3. 3.Neel, Saanvi and Aarav each have a bag of a different colour: blue, green or white. Neel’s bag is not green. Saanvi’s bag is not white. Saanvi’s bag is not green. What colour is Neel’s bag? (a) blue (b) green (c) white
4. 4.In a group of 37 children, 16 play cricket, 21 play football and 11 play both. How many play exactly one of the two?
5. 5.Five friends (Kabir, Myra, Omkar, Rohan and Siddharth) sit in a row. Left and right are as you look at them. Siddharth sits somewhere to the left of Kabir. Myra sits just to the right of Siddharth. Omkar sits somewhere to the left of Rohan. Omkar sits next to both Myra and Kabir. Who sits at the right end? (a) Omkar (b) Kabir (c) Myra (d) Rohan
6. 6.Diya is a girl. How is Diya’s brother’s daughter related to Diya? (a) sister (b) cousin (c) daughter (d) niece
7. 7.Yash is a boy. How is Yash’s mother’s father related to Yash? (a) father (b) grandfather (c) grandson (d) uncle
8. 8.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Y (b) U (c) T (d) K
9. 9.Each person always tells the truth or always lies. Ira says: “At least one of us two, Rohan or I, is a liar.” Rohan says: “Ira and I are the same kind.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 20 + 18 × 4?
11. 11.Which capital letter does NOT look the same in a mirror? (a) A (b) I (c) M (d) G
12. 12.Zoya, Kavya and Myra each have a bag of a different colour: red, white or green. Myra’s bag is not green. Myra’s bag is not white. Zoya’s bag is not white. Whose bag is green? (a) Zoya (b) Kavya (c) Myra
13. 13.Find the missing number. The same rule works in every row or in every column.
    8 | 19 | 27
    3 | 11 | 14
    ? | 2 | 11
14. 14.Four friends (Ananya, Kavya, Manav and Yash) sit in a row. Left and right are as you look at them. Ananya sits somewhere to the left of Kavya. Yash sits next to both Ananya and Kavya. Ananya sits just to the right of Manav. Who sits at the right end? (a) Kavya (b) Ananya (c) Yash (d) Manav
15. 15.In a group of 33 children, 27 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
16. 16.Kabir walks 12 m North, turns left and walks 4 m, then turns left again and walks 9 m. How far is he from the starting point now, in a straight line (in m)?
17. 17.Aditya, Isha and Kavya each have a bag of a different colour: yellow, blue or red. Isha’s bag is not red. Kavya’s bag is not blue. Kavya’s bag is not yellow. Aditya’s bag is not blue. Whose bag is blue? (a) Aditya (b) Isha (c) Kavya
18. 18.Which number is the odd one out: 41, 47, 59, 28? (a) 41 (b) 47 (c) 59 (d) 28
19. 19.Find the missing number. The same rule works in every row or in every column.
    4 | 7 | 3
    5 | 2 | 7
    7 | 6 | ?
20. 20.Kites flown at Makar Sankranti: Meera 8, Karan 24, Siddharth 3, Aisha 16, Diya 6. Who has the most kites? (a) Siddharth (b) Karan (c) Diya (d) Meera
21. 21.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?
22. 22.Ishaan, Tara and Pooja each have a bag of a different colour: green, red or white. Ishaan’s bag is not red. Tara’s bag is not white. Pooja’s bag is not white. Tara’s bag is not red. What colour is Ishaan’s bag? (a) green (b) red (c) white
23. 23.If LAMP is written as PMAL, how is STAR written in the same code? (a) QZSR (b) TUBS (c) SBUT (d) RATS
24. 24.If DESK is written as KSED, how is MOON written in the same code? (a) NOOM (b) NPPO (c) MNNL (d) OPPN
25. 25.In a group of 29 children, 20 play cricket, 13 play football and 7 play both. How many play neither of the two?
26. 26.In a group of 35 children, 13 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
27. 27.Rohan walks 7 m North, then turns left 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
28. 28.Two standard dice show 1 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
29. 29.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: 45 93 21 90 17 72. After step 3, what is the 4th number from the left?
30. 30.Rohan, Manav and Tara each have a bag of a different colour: yellow, green or white. Rohan’s bag is not green. Manav’s bag is not white. Tara’s bag is not green. Tara’s bag is not white. Whose bag is green? (a) Rohan (b) Manav (c) Tara
31. 31.Statements: All shoes are bells. No pens are bells. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
32. 32.I am a 2-digit number. My digits add up to 6. If you swap my two digits, the new number is 36 more than me. What number am I?
33. 33.Aditya is facing North. He turns right, then turns around (a half turn), then turns left, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 15 × 19 − 19?
35. 35.Three friends (Arjun, Kabir and Pooja) sit in a row. Left and right are as you look at them. Arjun sits next to both Pooja and Kabir. Pooja sits somewhere to the left of Kabir. Who sits just to the left of Kabir? (a) Kabir (b) Pooja (c) Arjun
36. 36.Which number is the odd one out: 26, 23, 13, 53? (a) 26 (b) 23 (c) 13 (d) 53
37. 37.Vivaan walks 12 km West, then turns left and walks 5 km. How far is he from the starting point now, in a straight line (in km)?
38. 38.Four friends (Dev, Omkar, Pooja and Siddharth) sit in a row. Left and right are as you look at them. Pooja sits somewhere to the left of Omkar. Pooja does not sit at either end. Omkar sits just to the right of Dev. Who sits at the left end? (a) Pooja (b) Dev (c) Omkar (d) Siddharth
39. 39.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?
40. 40.Three friends (Manav, Nisha and Zoya) sit in a row. Left and right are as you look at them. Nisha sits just to the right of Zoya. Zoya does not sit at either end. Who sits just to the left of Zoya? (a) Zoya (b) Nisha (c) Manav

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