Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 833 · 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.Rule: If the shop is open, then Karan buys milk. Fact: Karan buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
2. 2.In a group of 35 children, 24 play cricket, 19 play football and 12 play both. How many play only cricket?
3. 3.Kites flown at Makar Sankranti: Yash 21, Diya 13, Sneha 6, Ananya 22, Saanvi 19. What is the difference between the highest and the lowest?
4. 4.Pooja runs faster than Arjun. Yash runs faster than Pooja. Who runs the fastest? (a) Arjun (b) Pooja (c) Yash
5. 5.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
6. 6.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 5. What comes out after step 2?
7. 7.In a group of 40 children, 23 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing only English songs?
8. 8.In a group of 36 children, 13 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing only Hindi songs?
9. 9.Which number is the odd one out: 60, 30, 12, 33? (a) 60 (b) 30 (c) 12 (d) 33
10. 10.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have exactly three painted faces?
11. 11.Kavya walks 5 m East, then turns left and walks 3 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 19 + 19 − 16?
13. 13.I am a 2-digit number. My digits add up to 9. If you swap my two digits, the new number is 45 more than me. What number am I?
14. 14.Today is Sunday. What day of the week will it be 51 days from today? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
15. 15.Diya is younger than Siddharth. Diya is older than Kabir. Who is the second youngest? (a) Siddharth (b) Kabir (c) Diya
16. 16.Which number is the odd one out: 72, 70, 35, 63? (a) 72 (b) 70 (c) 35 (d) 63
17. 17.Dev walks 17 m West, turns left and walks 16 m, then turns left again and walks 5 m. How far is he from the starting point now, in a straight line (in m)?
18. 18.Rule: If the shop is open, then Zoya buys milk. Fact: Zoya does not buy milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
19. 19.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 9. What comes out after step 3?
20. 20.Rohan walks 5 m North, turns left and walks 4 m, then turns left again and walks 2 m. How far is he from the starting point now, in a straight line (in m)?
21. 21.Ishaan is younger than Meera. Ishaan is older than Diya. Ananya is older than Meera. Who is the youngest? (a) Ishaan (b) Ananya (c) Diya (d) Meera
22. 22.Statements: All books are boxes. No books are toys. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
23. 23.Kites flown at Makar Sankranti: Manav 22, Dev 8, Neel 11, Zoya 3, Nisha 13. Who has the fewest kites? (a) Manav (b) Neel (c) Zoya (d) Nisha
24. 24.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 6. What comes out after step 3?
25. 25.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 2. What comes out after step 2?
26. 26.Vivaan, Arjun and Manav each have a bag of a different colour: red, white or yellow. Vivaan’s bag is not white. Vivaan’s bag is not red. Arjun’s bag is not white. Whose bag is red? (a) Vivaan (b) Arjun (c) Manav
27. 27.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
28. 28.Statements: All boxes are pens. All pens are rings. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.Which number is the odd one out: 13, 79, 33, 73? (a) 13 (b) 79 (c) 33 (d) 73
30. 30.Statements: No kites are balls. No coins are balls. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.A clock shows 8:25. What time will it show 23 minutes later? (a) 9:48 (b) 8:48 (c) 8:38 (d) 8:58
32. 32.Priya is a girl. How is Priya’s son’s wife related to Priya? (a) niece (b) sister-in-law (c) daughter (d) daughter-in-law
33. 33.Kabir is facing East. He turns right, then turns left, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
34. 34.Three friends (Dev, Ishaan and Rohan) sit in a row. Left and right are as you look at them. Dev does not sit at either end. Ishaan sits at the left end. Who sits just to the left of Dev? (a) Rohan (b) Dev (c) Ishaan
35. 35.1 January 2023 is a Sunday. What day of the week is 26 November 2023? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
36. 36.Each person always tells the truth or always lies. Riya says: “Nisha and I are the same kind.” Nisha says: “At least one of us two, Riya or I, is a liar.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.Which number is the odd one out: 40, 95, 31, 37? (a) 40 (b) 95 (c) 31 (d) 37
38. 38.Which number is the odd one out: 54, 59, 53, 3? (a) 54 (b) 59 (c) 53 (d) 3
39. 39.Find the missing number. The same rule works in every row or in every column.
    8 | 8 | 64
    ? | 4 | 28
    4 | 3 | 12
40. 40.Steps climbed in a minute: Neel 79, Rohan 61, Ishaan 35, Ananya 87, Sneha 46. How many more steps does Neel have than Ishaan?

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