Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 953 · 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.Manav, Riya and Priya each play a different game: cricket, football or badminton. Manav does not play badminton. Priya does not play badminton. Priya does not play cricket. Who plays football? (a) Manav (b) Riya (c) Priya
2. 2.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
3. 3.If GOLD is written as TLOW, how is COLD written in the same code? (a) DPME (b) WKNV (c) XLOW (d) YMPX
4. 4.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
5. 5.Statements: Some coins are shoes. All shoes are toys. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
6. 6.Manav is a boy. How is Manav’s son’s son related to Manav? (a) grandson (b) brother (c) nephew (d) son
7. 7.Rule: If the shop is open, then Zoya buys milk. Fact: Zoya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
8. 8.Statements: All books are coins. Some books are balls. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
9. 9.In a group of 26 children, 8 play cricket, 11 play football and 3 play both. How many play at least one of the two?
10. 10.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 5. What comes out after step 2?
11. 11.Siddharth is older than Ira. Zoya is younger than Ira. Who is the oldest? (a) Ira (b) Siddharth (c) Zoya
12. 12.Ira is heavier than Kabir. Kabir is heavier than Riya. Nisha is lighter than Riya. Who is the lightest? (a) Ira (b) Kabir (c) Nisha (d) Riya
13. 13.If GOLD is written as CKNF, how is BOOK written in the same code? (a) ANNJ (b) KOOB (c) JNNA (d) LPPC
14. 14.Rohan is heavier than Myra. Arjun is lighter than Myra. Who is the second lightest? (a) Myra (b) Rohan (c) Arjun
15. 15.Yash is a boy. How is Yash’s father’s only son’s sister related to Yash? (a) sister (b) aunt (c) mother (d) cousin
16. 16.Ananya, Myra and Tara each have a bag of a different colour: blue, green or white. Ananya’s bag is not green. Ananya’s bag is not blue. Tara’s bag is not blue. Whose bag is blue? (a) Ananya (b) Myra (c) Tara
17. 17.Three friends (Aarav, Dev and Diya) sit in a row. Left and right are as you look at them. Diya sits just to the right of Aarav. Diya does not sit at either end. Who sits at the left end? (a) Aarav (b) Diya (c) Dev
18. 18.Find the missing number. The same rule works in every row or in every column.
    12 | 15 | 3
    17 | ? | 12
    29 | 20 | 15
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 7 + 8 − 3?
20. 20.Siddharth walks 12 m North, then turns left and walks 5 m. How far is he from the starting point now, in a straight line (in m)?
21. 21.Each person always tells the truth or always lies. Aditya says: “Karan and I are the same kind.” Karan says: “Aditya is a liar.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
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: 63 79 36 27 64 34. After step 2, what is the 4th number from the left?
23. 23.Two standard dice show 4 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 6 + 3 − 3?
25. 25.Meera, Aditya and Sneha each have a bag of a different colour: yellow, white or red. Meera’s bag is not red. Aditya’s bag is not yellow. Aditya’s bag is not white. Sneha’s bag is not white. Whose bag is red? (a) Meera (b) Aditya (c) Sneha
26. 26.Each person always tells the truth or always lies. Neel says: “Aditya and I are different kinds.” Aditya says: “Neel and I are different kinds.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.Four friends (Dev, Diya, Siddharth and Zoya) sit in a row. Left and right are as you look at them. Zoya sits somewhere to the left of Diya. Dev sits at the right end. Siddharth sits just to the right of Zoya. Who sits just to the right of Diya? (a) Zoya (b) Siddharth (c) Dev (d) Diya
28. 28.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have at least one painted face?
29. 29.Karan is lighter than Aisha. Arjun is lighter than Karan. Who is the lightest? (a) Aisha (b) Arjun (c) Karan
30. 30.Meera walks 6 m East, then turns right and walks 15 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
31. 31.Find the missing number. The same rule works in every row or in every column.
    3 | ? | 27
    4 | 3 | 12
    4 | 4 | 16
32. 32.Siddharth walks 7 m South, then turns left and walks 2 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
33. 33.Neel is shorter than Ananya. Ananya is shorter than Yash. Who is the second tallest? (a) Ananya (b) Neel (c) Yash
34. 34.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not go to the park. What can you say about “Aisha finishes the homework”? (a) must be true (b) must be false (c) can't tell
35. 35.Statements: All shoes are bags. All bags are rings. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
36. 36.26 September is a Wednesday. What day of the week is 26 October of the same year? (a) Thursday (b) Sunday (c) Friday (d) Saturday
37. 37.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly three painted faces?
38. 38.Which capital letter does NOT look the same in a mirror? (a) A (b) S (c) W (d) M
39. 39.Find the missing number. The same rule works in every row or in every column.
    4 | 4 | 16
    5 | 6 | 30
    ? | 6 | 48
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 7 ÷ 4 × 20?

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