Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 829 · 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.Each person always tells the truth or always lies. Siddharth says: “Rohan is a liar.” Rohan says: “At least one of us two, Siddharth or I, is a liar.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.Each person always tells the truth or always lies. Priya says: “Zoya and I are different kinds.” Karan says: “Priya is a liar.” Zoya says: “Karan and I are different kinds.” Is Priya a truth-teller or a liar? (a) truth-teller (b) liar
3. 3.Today is Monday. What day of the week will it be 9 days from today? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
4. 4.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   19 | 21 | 11
   ? | 17 | 25
   23 | 13 | 15
5. 5.Which number is the odd one out: 18, 30, 85, 27? (a) 18 (b) 30 (c) 85 (d) 27
6. 6.Saanvi is younger than Aarav. Aarav is younger than Meera. Who is the second oldest? (a) Aarav (b) Meera (c) Saanvi
7. 7.Find the missing number. The same rule works in every row or in every column.
   ? | 12 | 1
   11 | 3 | 1
   3 | 1 | 11
8. 8.If PARK is written as KRAP, how is JUMP written in the same code? (a) PMUJ (b) QNVK (c) KVNQ (d) OLTI
9. 9.Statements: No bags are pens. No pens are boxes. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
10. 10.Statements: No coins are kites. All coins are bells. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
11. 11.A number machine multiplies a number by 2 and then takes away 5. Each output goes back in as the next input. Start with 7. What comes out after step 3?
12. 12.A clock shows 5:07. What time does it show in a mirror? (a) 7:07 (b) 6:53 (c) 7:53 (d) 5:53
13. 13.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
14. 14.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
15. 15.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    22 | 37 | 16
    19 | 25 | ?
    34 | 13 | 28
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 8 − 5 ÷ 2?
17. 17.Each person always tells the truth or always lies. Arjun says: “Neel and I are different kinds.” Neel says: “Arjun and I are different kinds.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
18. 18.Tara walks 5 km North, then turns right and walks 12 km. How far is she from the starting point now, in a straight line (in km)?
19. 19.Zoya, Aarav and Farhan each play a different game: cricket, football or chess. Zoya does not play chess. Zoya does not play cricket. Farhan does not play chess. Which game does Farhan play? (a) cricket (b) football (c) chess
20. 20.Tara runs slower than Nisha. Nisha runs slower than Rohan. Who runs the fastest? (a) Nisha (b) Rohan (c) Tara
21. 21.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
22. 22.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: 96 19 32 68 20 36. After step 3, what is the 5th number from the left?
23. 23.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) P (b) E (c) Y (d) A
24. 24.Find the missing number. The same rule works in every row or in every column.
    1 | 6 | 22
    14 | 11 | 4
    16 | 8 | ?
25. 25.In a group of 33 children, 18 sing Hindi songs, 17 sing English songs and 7 sing both. How many sing neither of the two?
26. 26.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
27. 27.Tara walks 5 m North, then turns right and walks 2 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
28. 28.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
29. 29.Aisha walks 13 m North, then turns left and walks 2 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
30. 30.Each person always tells the truth or always lies. Kavya says: “Omkar and I are the same kind.” Omkar says: “Kavya tells the truth.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.Trees planted in a week: Kabir 5, Priya 36, Arjun 20, Ira 7, Vivaan 12. Who has the most trees? (a) Priya (b) Arjun (c) Vivaan (d) Kabir
32. 32.Statements: All kites are caps. All caps are coins. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
33. 33.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have exactly three painted faces?
34. 34.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
35. 35.Which number is the odd one out: 91, 16, 56, 49? (a) 91 (b) 16 (c) 56 (d) 49
36. 36.Find the missing number. The same rule works in every row or in every column.
    3 | 6 | ?
    8 | 2 | 16
    5 | 9 | 45
37. 37.I am a 2-digit number. My digits add up to 16 and my tens digit is 2 more than my ones digit. What number am I?
38. 38.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?
39. 39.Which number is the odd one out: 47, 53, 96, 97? (a) 47 (b) 53 (c) 96 (d) 97
40. 40.Find the missing number. The same rule works in every row or in every column.
    27 | 1 | ?
    21 | 3 | 5
    15 | 11 | 3

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