Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 459 · 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.Four friends (Aarav, Aditya, Dev and Myra) sit in a row. Left and right are as you look at them. Aditya sits at the right end. Myra sits just to the right of Dev. Aarav sits at the left end. Who sits just to the right of Aarav? (a) Aditya (b) Myra (c) Dev (d) Aarav
2. 2.Rohan walks 11 m East, then turns around and walks 2 m. How far is he from the starting point now (in m)?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 15 × 16 + 15?
4. 4.Aarav walks 8 m East, then turns right and walks 5 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 6 ÷ 12 × 4?
6. 6.Statements: No keys are shoes. All books are shoes. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
7. 7.Karan, Priya and Vivaan each play a different game: chess, football or badminton. Vivaan does not play football. Priya does not play badminton. Karan does not play chess. Vivaan does not play chess. Who plays badminton? (a) Karan (b) Priya (c) Vivaan
8. 8.Farhan, Rahul and Saanvi each have a bag of a different colour: red, green or yellow. Farhan’s bag is not red. Rahul’s bag is not red. Rahul’s bag is not yellow. What colour is Farhan’s bag? (a) red (b) green (c) yellow
9. 9.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
10. 10.In a group of 38 children, 11 play cricket, 14 play football and 2 play both. How many play exactly one of the two?
11. 11.Each person always tells the truth or always lies. Siddharth says: “Diya is a liar.” Karan says: “Diya and I both tell the truth.” Diya says: “Karan is a liar.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 14 + 5 ÷ 10?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 6 ÷ 20 × 4?
14. 14.Is 2100 a leap year? (a) Yes (b) No
15. 15.Today is Thursday. What day of the week will it be 15 days from today? (a) Friday (b) Sunday (c) Saturday (d) Thursday
16. 16.Which capital letter looks exactly the same in a mirror? (a) R (b) F (c) J (d) A
17. 17.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    2 | 9 | 4
    7 | 5 | 3
    6 | 1 | ?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 14 − 16 + 2?
19. 19.The sum of three consecutive numbers is 96. What is the smallest of them?
20. 20.If MILK is written as MNKO, how is COLD written in the same code? (a) BJMA (b) FNQE (c) DLOC (d) EQNF
21. 21.Vivaan is a boy. How is Vivaan’s son’s wife related to Vivaan? (a) sister-in-law (b) daughter-in-law (c) niece (d) daughter
22. 22.Today is Tuesday. What day of the week will it be 75 days from today? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
23. 23.A clock shows 6:34. What time does it show in a mirror? (a) 5:26 (b) 6:34 (c) 4:26 (d) 6:26
24. 24.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 9. What comes out after step 2?
25. 25.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have no painted face?
26. 26.How many degrees does the minute hand of a clock turn in 6 minutes? =
27. 27.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly one painted face?
28. 28.Which number is the odd one out: 19, 57, 72, 13? (a) 19 (b) 57 (c) 72 (d) 13
29. 29.In a group of 47 grown-ups, 22 drink tea, 29 drink coffee and 10 drink both. How many drink only tea?
30. 30.A clock shows 9:25. What time does it show in a mirror? (a) 2:35 (b) 3:35 (c) 1:35 (d) 3:25
31. 31.27 May is a Wednesday. What day of the week is 27 June of the same year? (a) Sunday (b) Friday (c) Saturday (d) Monday
32. 32.I am a 2-digit number. My digits add up to 9. If you swap my two digits, the new number is 63 more than me. What number am I?
33. 33.Statements: All toys are keys. All boxes are keys. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
34. 34.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    7 | 8 | 3
    2 | ? | 10
    9 | 4 | 5
35. 35.If FROG is written as GORF, how is STAR written in the same code? (a) QZSR (b) TUBS (c) RATS (d) SBUT
36. 36.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
37. 37.Farhan, Neel and Riya each have a different pet: rabbit, tortoise or parrot. Riya does not have the rabbit. Neel does not have the parrot. Neel does not have the rabbit. Who has the parrot? (a) Farhan (b) Neel (c) Riya
38. 38.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 4. What comes out after step 3?
39. 39.Dev is a boy. How is Dev’s mother’s brother related to Dev? (a) grandfather (b) uncle (c) cousin (d) brother
40. 40.Rohan, Isha and Dev each have a different pet: rabbit, cat or tortoise. Isha does not have the rabbit. Dev does not have the cat. Rohan does not have the tortoise. Dev does not have the tortoise. Who has the cat? (a) Rohan (b) Isha (c) Dev

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