Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 475 · 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.Statements: Some kites are cups. No toys are cups. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
2. 2.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
3. 3.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
4. 4.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly two painted faces?
5. 5.Which number is the odd one out: 23, 60, 13, 59? (a) 23 (b) 60 (c) 13 (d) 59
6. 6.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: 27 10 58 83 46 44. After step 3, what is the 3rd number from the left?
7. 7.In a group of 32 children, 20 like mangoes, 11 like bananas and 7 like both. How many like exactly one of the two?
8. 8.Yash is facing South. He turns left, then turns left, then turns around (a half turn), then turns around (a half turn). Which direction is he facing now? (a) North (b) East (c) South (d) West
9. 9.Myra walks 13 m East, turns right and walks 3 m, then turns right again and walks 9 m. How far is she from the starting point now, in a straight line (in m)?
10. 10.Rohan walks 10 m West, then turns right and walks 3 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
11. 11.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: 66 20 90 89 61 68. After step 3, what is the 4th number from the left?
12. 12.In a group of 35 children, 20 play cricket, 20 play football and 10 play both. How many play at least one of the two?
13. 13.If HAND is written as SZMW, how is KITE written in the same code? (a) OQFU (b) PRGV (c) QSHW (d) LJUF
14. 14.The sum of three consecutive even numbers is 180. What is the largest of them?
15. 15.How many degrees does the minute hand of a clock turn in 32 minutes? =
16. 16.Find the missing number. The same rule works in every row or in every column.
    8 | ? | 16
    3 | 6 | 18
    4 | 7 | 28
17. 17.Three friends (Karan, Omkar and Saanvi) sit in a row. Left and right are as you look at them. Saanvi sits just to the right of Omkar. Omkar does not sit at either end. Who sits just to the right of Karan? (a) Saanvi (b) Omkar (c) Karan
18. 18.Which capital letter looks exactly the same in a mirror? (a) P (b) D (c) W (d) J
19. 19.A clock shows 4:37. What time does it show in a mirror? (a) 8:23 (b) 8:37 (c) 6:23 (d) 7:23
20. 20.Pooja, Rahul and Meera each have a different pet: tortoise, parrot or dog. Meera does not have the parrot. Pooja does not have the tortoise. Meera does not have the dog. Rahul does not have the dog. Who has the dog? (a) Pooja (b) Rahul (c) Meera
21. 21.Runs scored in a cricket match: Nisha 25, Saanvi 55, Ananya 47, Yash 40, Aarav 28. What is the total for all five children?
22. 22.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 2. What comes out after step 2?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 5 − 7 ÷ 2?
24. 24.If LION is written as KHNM, how is BOOK written in the same code? (a) ZMMI (b) ANNJ (c) BOOK (d) CPPL
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 5. What comes out after step 2?
26. 26.Dev, Ishaan and Aisha each have a different pet: tortoise, cat or rabbit. Dev does not have the rabbit. Ishaan does not have the rabbit. Dev does not have the tortoise. Which pet does Ishaan have? (a) tortoise (b) cat (c) rabbit
27. 27.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra goes to the park. What can you say about “Myra finishes the homework”? (a) must be true (b) must be false (c) can't tell
28. 28.Saanvi walks 3 m West, then turns left and walks 4 m. How far is she from the starting point now, in a straight line (in m)?
29. 29.If STAR is written as TCVU, how is DOG written in the same code? (a) EMB (b) IQF (c) GOD (d) FQI
30. 30.17 September is a Thursday. What day of the week is 17 October of the same year? (a) Sunday (b) Saturday (c) Friday (d) Monday
31. 31.Manav walks 7 m South, then turns left and walks 24 m. How far is he from the starting point now, in a straight line (in m)?
32. 32.The sum of three consecutive even numbers is 222. What is the smallest of them?
33. 33.Omkar is a boy. How is Omkar’s father’s sister related to Omkar? (a) aunt (b) sister (c) cousin (d) mother
34. 34.Riya, Myra and Aisha each play a different game: football, cricket or chess. Myra does not play chess. Aisha does not play football. Myra does not play cricket. Riya does not play cricket. Who plays cricket? (a) Riya (b) Myra (c) Aisha
35. 35.Find the missing number. The same rule works in every row or in every column.
    5 | 3 | 15
    ? | 7 | 21
    5 | 3 | 15
36. 36.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: 27 77 90 31 19 22. After step 2, what is the 4th number from the left?
37. 37.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: 23 99 11 26 37 63. After step 2, what is the 2nd number from the left?
38. 38.Marks in a maths test (out of 50): Vivaan 39, Aarav 26, Nisha 41, Ananya 21, Aditya 25. Who has the fewest marks? (a) Aarav (b) Vivaan (c) Aditya (d) Ananya
39. 39.Which capital letter does NOT look the same in a mirror? (a) H (b) Y (c) W (d) N
40. 40.The sum of three consecutive numbers is 105. What is the largest of them?

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