Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 750 · 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. Riya says: “At least one of us two, Ananya or I, is a liar.” Ananya says: “Riya is a liar.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.Kabir walks 11 m East, turns right and walks 3 m, then turns right again and walks 7 m. How far is he from the starting point now, in a straight line (in m)?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 6 + 9 − 15?
4. 4.If STAR is written as SBUT, how is SUN written in the same code? (a) MTR (b) OVT (c) TVO (d) NUS
5. 5.A clock shows 3:14. What time does it show in a mirror? (a) 9:46 (b) 7:46 (c) 9:14 (d) 8:46
6. 6.Five friends (Ira, Kabir, Karan, Sneha and Yash) sit in a row. Left and right are as you look at them. Kabir sits somewhere to the left of Yash. Kabir sits somewhere to the left of Karan. Ira sits somewhere to the left of Karan. Ira does not sit at either end. Kabir does not sit at either end. Ira sits just to the right of Kabir. Karan sits at the right end. Who sits at the left end? (a) Karan (b) Yash (c) Kabir (d) Sneha
7. 7.Saanvi is lighter than Karan. Saanvi is heavier than Ishaan. Who is the heaviest? (a) Karan (b) Saanvi (c) Ishaan
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 18 × 10 − 5?
9. 9.Statements: No rings are pens. No keys are pens. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
10. 10.Runs scored in a cricket match: Kabir 46, Vivaan 48, Arjun 52, Ishaan 33, Omkar 13. What is the total for all five children?
11. 11.Which number is the odd one out: 13, 74, 37, 53? (a) 13 (b) 74 (c) 37 (d) 53
12. 12.Statements: No shoes are caps. Some caps are rings. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
13. 13.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 5 − 5 × 7?
15. 15.Is 1800 a leap year? (a) Yes (b) No
16. 16.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    19 | 16 | 31
    34 | ? | 10
    13 | 28 | 25
17. 17.Vivaan is a boy. How is Vivaan’s mother’s mother related to Vivaan? (a) aunt (b) grandmother (c) mother (d) sister
18. 18.Which number is the odd one out: 23, 19, 82, 11? (a) 23 (b) 19 (c) 82 (d) 11
19. 19.Each person always tells the truth or always lies. Arjun says: “Zoya and I are the same kind.” Zoya says: “Arjun is a liar.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
20. 20.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
21. 21.Four friends (Aarav, Ira, Meera and Yash) sit in a row. Left and right are as you look at them. Aarav sits somewhere to the left of Ira. Yash sits just to the right of Meera. Meera does not sit at either end. Meera sits next to both Aarav and Yash. Who sits at the left end? (a) Meera (b) Yash (c) Ira (d) Aarav
22. 22.How many degrees does the minute hand of a clock turn in 52 minutes? =
23. 23.Ira is taller than Yash. Ira is shorter than Nisha. Who is the second shortest? (a) Yash (b) Nisha (c) Ira
24. 24.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
25. 25.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: 86 68 27 92 11 80. After step 2, what is the 3rd number from the left?
26. 26.Four friends (Aisha, Ira, Omkar and Priya) sit in a row. Left and right are as you look at them. Ira does not sit at either end. Omkar sits at the left end. Priya sits somewhere to the left of Aisha. Ira sits next to both Priya and Aisha. Who sits at the right end? (a) Priya (b) Aisha (c) Ira (d) Omkar
27. 27.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?
28. 28.Is 2100 a leap year? (a) Yes (b) No
29. 29.Each person always tells the truth or always lies. Pooja says: “Diya and I are the same kind.” Diya says: “Pooja and I both tell the truth.” Aditya says: “Pooja is a liar.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
30. 30.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
31. 31.If LAMP is written as OZNK, how is MOON written in the same code? (a) NLLM (b) OMMN (c) NPPO (d) MKKL
32. 32.Marks in a maths test (out of 50): Pooja 37, Farhan 24, Omkar 16, Diya 49, Meera 40. Who has the fewest marks? (a) Farhan (b) Diya (c) Omkar (d) Pooja
33. 33.Each person always tells the truth or always lies. Saanvi says: “Yash is a liar.” Yash says: “Saanvi and I are different kinds.” Is Saanvi a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.Karan runs slower than Diya. Diya runs slower than Dev. Who runs the second slowest? (a) Diya (b) Dev (c) Karan
35. 35.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
36. 36.In a group of 43 children, 29 play chess, 18 play carrom and 12 play both. How many play only carrom?
37. 37.Find the missing number. The same rule works in every row or in every column.
    3 | 6 | 18
    5 | 8 | 40
    8 | ? | 40
38. 38.Today is Sunday. What day of the week will it be 45 days from today? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
39. 39.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?
40. 40.Which number is the odd one out: 41, 37, 59, 95? (a) 41 (b) 37 (c) 59 (d) 95

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