Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 679 · 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.The sum of three consecutive numbers is 72. What is the largest of them?
2. 2.1 January 2036 is a Tuesday. What day of the week is 6 December 2036? (a) Monday (b) Friday (c) Sunday (d) Saturday
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 13 − 13 ÷ 4?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 3 − 3 ÷ 5?
5. 5.Each person always tells the truth or always lies. Meera says: “Ira and I are the same kind.” Ira says: “Meera and I are different kinds.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.24 June is a Wednesday. What day of the week is 24 July of the same year? (a) Saturday (b) Thursday (c) Sunday (d) Friday
7. 7.If RAIN is written as OJBS, how is BOOK written in the same code? (a) KOOB (b) LPPC (c) JNNA (d) CPPL
8. 8.In a group of 31 children, 10 like mangoes, 19 like bananas and 4 like both. How many like neither of the two?
9. 9.Karan, Neel and Dev each play a different game: cricket, chess or carrom. Karan does not play chess. Neel does not play carrom. Karan does not play cricket. Neel does not play cricket. Which game does Karan play? (a) cricket (b) chess (c) carrom
10. 10.Statements: No cups are kites. All bags are cups. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
11. 11.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha does not finish the homework. What can you say about “Nisha does not go to the park”? (a) must be true (b) must be false (c) can't tell
12. 12.Priya walks 12 km South, then turns right and walks 16 km. How far is she from the starting point now, in a straight line (in km)?
13. 13.In a group of 39 children, 6 like mangoes, 21 like bananas and 2 like both. How many like exactly one of the two?
14. 14.Ishaan, Kabir and Myra each play a different game: carrom, cricket or football. Myra does not play football. Ishaan does not play carrom. Kabir does not play football. Myra does not play carrom. Who plays cricket? (a) Ishaan (b) Kabir (c) Myra
15. 15.Each person always tells the truth or always lies. Zoya says: “Omkar is a liar.” Omkar says: “Zoya and I both tell the truth.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
16. 16.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: 34 47 79 54 92 19. After step 3, what is the 2nd number from the left?
17. 17.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: 25 64 46 85 52 63. After step 3, what is the 6th number from the left?
18. 18.Which number is the odd one out: 53, 79, 54, 41? (a) 53 (b) 79 (c) 54 (d) 41
19. 19.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
20. 20.Each person always tells the truth or always lies. Vivaan says: “Aarav and I are different kinds.” Aarav says: “Vivaan tells the truth.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
21. 21.Which number is the odd one out: 71, 83, 82, 13? (a) 71 (b) 83 (c) 82 (d) 13
22. 22.Five friends (Aisha, Ishaan, Nisha, Pooja and Priya) sit in a row. Left and right are as you look at them. Nisha sits just to the right of Aisha. Aisha sits somewhere to the left of Ishaan. Pooja sits somewhere to the left of Nisha. Aisha sits next to both Pooja and Nisha. Pooja sits next to both Priya and Aisha. Who sits in the middle? (a) Pooja (b) Nisha (c) Priya (d) Aisha
23. 23.Each person always tells the truth or always lies. Vivaan says: “At least one of us two, Kavya or I, is a liar.” Kavya says: “Vivaan and I are the same kind.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
24. 24.Statements: No bags are pens. Some keys are bags. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
25. 25.In a group of 36 children, 22 play cricket, 20 play football and 12 play both. How many play only cricket?
26. 26.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 7. What comes out after step 2?
27. 27.Ira walks 12 km West, then turns right and walks 16 km. How far is she from the starting point now, in a straight line (in km)?
28. 28.Which number is the odd one out: 2, 59, 18, 83? (a) 2 (b) 59 (c) 18 (d) 83
29. 29.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
30. 30.Find the missing number. The same rule works in every row or in every column.
    20 | 5 | 25
    12 | 7 | 19
    13 | 2 | ?
31. 31.Pooja is facing South. She turns right, then turns around (a half turn), then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
32. 32.If NEST is written as PGUV, how is HAND written in the same code? (a) KDQG (b) JCPF (c) FYLB (d) IBOE
33. 33.1 January 2019 is a Tuesday. What day of the week is 28 February 2019? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
34. 34.A clock shows 5:02. What time will it show 16 minutes later? (a) 5:08 (b) 5:18 (c) 5:28 (d) 6:18
35. 35.In a group of 32 grown-ups, 13 drink tea, 25 drink coffee and 9 drink both. How many drink only tea?
36. 36.Find the missing number. The same rule works in every row or in every column.
    4 | 7 | 28
    ? | 2 | 8
    3 | 2 | 6
37. 37.Each person always tells the truth or always lies. Karan says: “Manav and I are the same kind.” Manav says: “Karan and I are different kinds.” Is Manav a truth-teller or a liar? (a) truth-teller (b) liar
38. 38.Two standard dice show 4 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
39. 39.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: 67 30 13 42 51 15. After step 4, what is the 1st number from the left?
40. 40.Is 2200 a leap year? (a) Yes (b) No

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