Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 98 · 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.Which number is the odd one out: 20, 91, 52, 70? (a) 20 (b) 91 (c) 52 (d) 70
2. 2.Today is Sunday. What day of the week will it be 32 days from today? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
3. 3.I am a 2-digit number. My digits add up to 3 and my tens digit is 1 more than my ones digit. What number am I?
4. 4.In a group of 45 grown-ups, 26 drink tea, 19 drink coffee and 11 drink both. How many drink only coffee?
5. 5.Riya is a girl. How is Riya’s mother’s brother related to Riya? (a) cousin (b) brother (c) uncle (d) grandfather
6. 6.Each person always tells the truth or always lies. Ananya says: “Manav is a liar.” Manav says: “Aisha and I are different kinds.” Aisha says: “Manav is a liar.” Is Aisha a truth-teller or a liar? (a) truth-teller (b) liar
7. 7.Today is Saturday. What day of the week will it be 17 days from today? (a) Thursday (b) Tuesday (c) Wednesday (d) Monday
8. 8.Aditya walks 6 m East, then turns right and walks 9 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
9. 9.Each person always tells the truth or always lies. Sneha says: “Ishaan is a liar.” Ishaan says: “Sneha and I both tell the truth.” Priya says: “Sneha is a liar.” Is Priya a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.Steps climbed in a minute: Vivaan 52, Kavya 27, Karan 25, Tara 50, Pooja 64. What is the difference between the highest and the lowest?
11. 11.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have no painted face?
12. 12.Kites flown at Makar Sankranti: Vivaan 21, Nisha 20, Aarav 17, Ira 23, Manav 16. Who has the most kites? (a) Aarav (b) Vivaan (c) Manav (d) Ira
13. 13.12 April is a Monday. What day of the week is 12 May of the same year? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
14. 14.The sum of three consecutive numbers is 48. What is the smallest of them?
15. 15.Each person always tells the truth or always lies. Zoya says: “At least one of us two, Saanvi or I, is a liar.” Saanvi says: “Zoya and I are the same kind.” Is Saanvi 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: 27 38 77 13 90 21. After step 4, what is the 3rd number from the left?
17. 17.Karan is a boy. How is Karan’s mother’s brother related to Karan? (a) grandfather (b) brother (c) cousin (d) uncle
18. 18.Find the missing number. The same rule works in every row or in every column.
    10 | 19 | 8
    2 | 18 | 3
    ? | 37 | 11
19. 19.Nisha runs slower than Kabir. Nisha runs faster than Karan. Who runs the slowest? (a) Nisha (b) Kabir (c) Karan
20. 20.Riya is younger than Vivaan. Rahul is older than Vivaan. Who is the second youngest? (a) Riya (b) Vivaan (c) Rahul
21. 21.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: 67 79 81 74 31 27. After step 4, what is the 2nd number from the left?
22. 22.Which capital letter does NOT look the same in a mirror? (a) I (b) U (c) L (d) T
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 5 − 2 ÷ 9?
24. 24.In a group of 34 children, 18 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
25. 25.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 2. What comes out after step 3?
26. 26.Is 2022 a leap year? (a) Yes (b) No
27. 27.In a group of 46 children, 28 play chess, 20 play carrom and 12 play both. How many play neither of the two?
28. 28.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev gets a medal. What can you say about “Dev wins the match”? (a) must be true (b) must be false (c) can't tell
29. 29.Statements: All caps are boxes. All shoes are boxes. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
30. 30.Find the missing number. The same rule works in every row or in every column.
    11 | 17 | 1
    ? | 23 | 2
    24 | 2 | 3
31. 31.Each person always tells the truth or always lies. Zoya says: “Arjun and I are different kinds.” Arjun says: “Zoya tells the truth.” Karan says: “Arjun tells the truth.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
32. 32.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: 26 78 87 11 95 85. After step 2, what is the 6th number from the left?
33. 33.Statements: No books are shoes. All shoes are bags. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
34. 34.If BOOK is written as YLLP, how is JUMP written in the same code? (a) RGOL (b) KVNQ (c) PEMJ (d) QFNK
35. 35.In a group of 46 children, 20 enjoy drawing, 22 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
36. 36.Isha walks 14 m West, turns right and walks 9 m, then turns right again and walks 2 m. How far is she from the starting point now, in a straight line (in m)?
37. 37.Kavya is a girl. How is Kavya’s mother’s father related to Kavya? (a) grandson (b) grandfather (c) uncle (d) father
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 9 + 3 × 17?
39. 39.Aarav, Sneha and Aisha each have a bag of a different colour: yellow, red or green. Sneha’s bag is not yellow. Aarav’s bag is not yellow. Aarav’s bag is not green. What colour is Aisha’s bag? (a) yellow (b) red (c) green
40. 40.1 January 2003 is a Wednesday. What day of the week is 10 October 2003? (a) Sunday (b) Saturday (c) Friday (d) Thursday

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