Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 301 · 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 capital letter looks exactly the same in water (an upside-down reflection)? (a) F (b) V (c) E (d) W
2. 2.Each person always tells the truth or always lies. Riya says: “Ishaan and I are different kinds.” Ishaan says: “Riya is a liar.” Aditya says: “Riya is a liar.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
3. 3.Ananya, Rahul and Isha each have a different pet: tortoise, cat or rabbit. Ananya does not have the tortoise. Isha does not have the tortoise. Ananya does not have the rabbit. Which pet does Ananya have? (a) tortoise (b) cat (c) rabbit
4. 4.A clock shows 6:59. What time will it show 134 minutes later? (a) 9:23 (b) 9:13 (c) 9:03 (d) 10:13
5. 5.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have at least one painted face?
6. 6.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: 84 69 11 99 57 86. After step 2, what is the 4th number from the left?
7. 7.Trees planted in a week: Rahul 6, Dev 35, Diya 40, Myra 22, Manav 19. What is the difference between the highest and the lowest?
8. 8.Which number is the odd one out: 80, 65, 29, 40? (a) 80 (b) 65 (c) 29 (d) 40
9. 9.Which number is the odd one out: 89, 17, 2, 16? (a) 89 (b) 17 (c) 2 (d) 16
10. 10.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    10 | 11 | 6
    5 | 9 | 13
    ? | 7 | 8
11. 11.Priya is a girl. How is Priya’s father’s father’s only son’s son related to Priya? (a) cousin (b) brother (c) uncle (d) father
12. 12.Four friends (Farhan, Meera, Rahul and Sneha) sit in a row. Left and right are as you look at them. Meera sits just to the right of Farhan. Rahul sits somewhere to the left of Meera. Sneha does not sit at either end. Who sits just to the right of Sneha? (a) Rahul (b) Meera (c) Farhan (d) Sneha
13. 13.Kabir is heavier than Ishaan. Ira is lighter than Ishaan. Kabir is lighter than Vivaan. Who is the lightest? (a) Vivaan (b) Ira (c) Kabir (d) Ishaan
14. 14.Ira, Riya and Kabir each have a bag of a different colour: yellow, blue or white. Riya’s bag is not white. Kabir’s bag is not white. Riya’s bag is not blue. Whose bag is yellow? (a) Ira (b) Riya (c) Kabir
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 16 ÷ 12 − 20?
16. 16.1 January 2020 is a Wednesday. What day of the week is 17 November 2020? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
17. 17.Three friends (Meera, Riya and Yash) sit in a row. Left and right are as you look at them. Meera does not sit at either end. Yash sits at the left end. Who sits just to the left of Meera? (a) Riya (b) Yash (c) Meera
18. 18.How many degrees does the hour hand of a clock turn in 33 minutes? =
19. 19.Manav, Siddharth and Sneha each have a different pet: tortoise, cat or dog. Siddharth does not have the tortoise. Manav does not have the cat. Sneha does not have the tortoise. Siddharth does not have the dog. Who has the tortoise? (a) Manav (b) Siddharth (c) Sneha
20. 20.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: 12 30 73 61 67 53. After step 2, what is the 3rd number from the left?
21. 21.Find the missing number. The same rule works in every row or in every column.
    18 | 11 | 29
    3 | 1 | ?
    17 | 7 | 24
22. 22.Books read in the summer holidays: Ananya 5, Aditya 9, Neel 6, Myra 16, Ira 21. What is the difference between the highest and the lowest?
23. 23.In a group of 20 children, 11 enjoy drawing, 11 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
24. 24.Siddharth walks 8 m West, then turns right and walks 6 m. How far is he from the starting point now, in a straight line (in m)?
25. 25.Ishaan is a boy. How is Ishaan’s sister’s son related to Ishaan? (a) nephew (b) cousin (c) brother (d) son
26. 26.Is 2033 a leap year? (a) Yes (b) No
27. 27.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
28. 28.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: 77 62 21 28 75 93. After step 2, what is the 5th number from the left?
29. 29.Books read in the summer holidays: Aarav 4, Karan 10, Riya 8, Ishaan 6, Dev 13. What is the difference between the highest and the lowest?
30. 30.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
31. 31.Myra runs slower than Meera. Arjun runs slower than Myra. Arjun runs faster than Vivaan. Who runs the slowest? (a) Arjun (b) Vivaan (c) Myra (d) Meera
32. 32.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
33. 33.Ananya is lighter than Saanvi. Saanvi is lighter than Sneha. Who is the second heaviest? (a) Saanvi (b) Sneha (c) Ananya
34. 34.Ishaan, Nisha and Pooja each play a different game: chess, football or carrom. Ishaan does not play carrom. Nisha does not play chess. Ishaan does not play football. Pooja does not play carrom. Which game does Ishaan play? (a) chess (b) football (c) carrom
35. 35.Rule: If the shop is open, then Omkar buys milk. Fact: The shop is not open. What can you say about “Omkar buys milk”? (a) must be true (b) must be false (c) can't tell
36. 36.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: 16 26 31 86 27 73. After step 2, what is the 1st number from the left?
37. 37.A clock shows 11:40. What time does it show in a mirror? (a) 12:20 (b) 11:20 (c) 1:40 (d) 1:20
38. 38.Four friends (Dev, Farhan, Myra and Sneha) sit in a row. Left and right are as you look at them. Myra sits somewhere to the left of Dev. Dev sits just to the right of Sneha. Myra sits at the left end. Sneha sits somewhere to the left of Farhan. Who sits at the right end? (a) Myra (b) Sneha (c) Dev (d) Farhan
39. 39.Four friends (Aditya, Kabir, Priya and Riya) sit in a row. Left and right are as you look at them. Riya sits just to the right of Priya. Aditya sits next to both Riya and Kabir. Who sits at the right end? (a) Priya (b) Riya (c) Aditya (d) Kabir
40. 40.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 one painted face?

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