Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 623 · 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.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: 26 65 91 10 78 82. After step 2, what is the 4th number from the left?
2. 2.Which number is the odd one out: 70, 11, 17, 61? (a) 70 (b) 11 (c) 17 (d) 61
3. 3.If TREE is written as SQDD, how is DOG written in the same code? (a) DOG (b) EPH (c) CNF (d) BME
4. 4.In a group of 40 children, 21 like mangoes, 17 like bananas and 4 like both. How many like at least one of the two?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 11 × 11 + 18?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 20 + 17 ÷ 19?
7. 7.Nisha is lighter than Isha. Neel is lighter than Yash. Isha is lighter than Neel. Who is the second lightest? (a) Nisha (b) Yash (c) Isha (d) Neel
8. 8.Statements: All pens are kites. All pens are balls. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
9. 9.Statements: No rings are pens. All cups are pens. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
10. 10.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
11. 11.Aarav is a boy. How is Aarav’s mother’s father related to Aarav? (a) grandfather (b) father (c) grandson (d) uncle
12. 12.The sum of three consecutive numbers is 117. What is the smallest of them?
13. 13.Each person always tells the truth or always lies. Farhan says: “Aditya is a liar.” Aditya says: “Farhan and I both tell the truth.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Marks in a maths test (out of 50): Kavya 21, Nisha 27, Tara 20, Ira 40, Kabir 29. What is the total for all five children?
15. 15.Statements: Some toys are pens. No balls are pens. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
16. 16.Ananya is a girl. How is Ananya’s brother’s wife related to Ananya? (a) sister (b) cousin (c) aunt (d) sister-in-law
17. 17.11 May is a Thursday. What day of the week is 11 June of the same year? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
18. 18.Vivaan is a boy. How is Vivaan’s father’s father’s only son related to Vivaan? (a) brother (b) grandfather (c) father (d) uncle
19. 19.Which capital letter does NOT look the same in a mirror? (a) O (b) L (c) M (d) X
20. 20.Today is Saturday. What day of the week will it be 49 days from today? (a) Monday (b) Saturday (c) Friday (d) Sunday
21. 21.Four friends (Aisha, Farhan, Nisha and Riya) sit in a row. Left and right are as you look at them. Farhan sits at the right end. Nisha does not sit at either end. Riya sits next to both Aisha and Nisha. Who sits just to the right of Riya? (a) Riya (b) Aisha (c) Farhan (d) Nisha
22. 22.Which number is the odd one out: 32, 82, 24, 12? (a) 32 (b) 82 (c) 24 (d) 12
23. 23.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
24. 24.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 exactly one painted face?
25. 25.Yash, Dev and Kabir each play a different game: badminton, cricket or carrom. Yash does not play cricket. Yash does not play badminton. Kabir does not play badminton. Who plays badminton? (a) Yash (b) Dev (c) Kabir
26. 26.Which number is the odd one out: 65, 75, 42, 85? (a) 65 (b) 75 (c) 42 (d) 85
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 18 + 19 ÷ 9?
28. 28.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun wins the match. What can you say about “Arjun gets a medal”? (a) must be true (b) must be false (c) can't tell
29. 29.Which number is the odd one out: 64, 27, 16, 81? (a) 64 (b) 27 (c) 16 (d) 81
30. 30.Today is Wednesday. What day of the week will it be 66 days from today? (a) Sunday (b) Friday (c) Saturday (d) Monday
31. 31.Farhan is younger than Ishaan. Yash is younger than Farhan. Who is the second youngest? (a) Ishaan (b) Yash (c) Farhan
32. 32.Meera is older than Priya. Aarav is older than Tara. Aarav is younger than Priya. Who is the youngest? (a) Priya (b) Aarav (c) Tara (d) Meera
33. 33.Today is Saturday. What day of the week will it be 81 days from today? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
34. 34.A clock shows 8:41. What time does it show in a mirror? (a) 3:19 (b) 2:19 (c) 4:41 (d) 4:19
35. 35.In a group of 34 children, 8 play cricket, 16 play football and 4 play both. How many play neither of the two?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 18 + 11 ÷ 20?
37. 37.Aditya, Isha and Priya each have a bag of a different colour: white, blue or yellow. Isha’s bag is not blue. Aditya’s bag is not yellow. Isha’s bag is not yellow. What colour is Isha’s bag? (a) white (b) blue (c) yellow
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 4 × 3 + 14?
39. 39.Myra is facing North. She turns left, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
40. 40.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not finish the homework. What can you say about “Yash goes to the park”? (a) must be true (b) must be false (c) can't tell

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