Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 630 · 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.How many degrees does the hour hand of a clock turn in 36 minutes? =
2. 2.Find the missing number. The same rule works in every row or in every column.
   ? | 10 | 13
   4 | 5 | 9
   10 | 10 | 20
3. 3.Runs scored in a cricket match: Aisha 14, Neel 35, Rohan 6, Omkar 45, Kabir 38. How many children have more than 44 runs?
4. 4.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: 29 34 56 28 95 89. After step 4, what is the 4th number from the left?
5. 5.Statements: No rings are toys. Some boxes are rings. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
6. 6.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have no painted face?
7. 7.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev does not finish the homework. What can you say about “Dev goes to the park”? (a) must be true (b) must be false (c) can't tell
8. 8.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have exactly two painted faces?
9. 9.Rule: If the shop is open, then Riya buys milk. Fact: The shop is not open. What can you say about “Riya buys milk”? (a) must be true (b) must be false (c) can't tell
10. 10.1 January 2040 is a Sunday. What day of the week is 24 December 2040? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
11. 11.Which number is the odd one out: 67, 6, 37, 73? (a) 67 (b) 6 (c) 37 (d) 73
12. 12.Which number is the odd one out: 79, 17, 84, 53? (a) 79 (b) 17 (c) 84 (d) 53
13. 13.A clock shows 12:01. What time will it show 21 minutes later? (a) 12:32 (b) 1:22 (c) 12:22 (d) 12:12
14. 14.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: 56 28 12 17 72 64. After step 4, what is the 6th number from the left?
15. 15.Two standard dice show 6 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
16. 16.Is 2025 a leap year? (a) Yes (b) No
17. 17.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 6. What comes out after step 2?
18. 18.Manav walks 28 m South, then turns around and walks 10 m. How far is he from the starting point now (in m)?
19. 19.Nisha, Manav and Aarav each have a different pet: dog, tortoise or rabbit. Manav does not have the tortoise. Manav does not have the dog. Aarav does not have the tortoise. Which pet does Manav have? (a) dog (b) tortoise (c) rabbit
20. 20.Each person always tells the truth or always lies. Yash says: “At least one of us two, Aditya or I, is a liar.” Aditya says: “Yash and I are the same kind.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
21. 21.In a group of 18 children, 8 like mangoes, 6 like bananas and 3 like both. How many like neither of the two?
22. 22.Which number is the odd one out: 83, 40, 11, 61? (a) 83 (b) 40 (c) 11 (d) 61
23. 23.Runs scored in a cricket match: Zoya 43, Yash 42, Myra 38, Sneha 53, Aarav 36. Who has the most runs? (a) Sneha (b) Yash (c) Aarav (d) Myra
24. 24.Neel walks 14 m North, then turns left and walks 2 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
25. 25.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
26. 26.Karan, Priya and Omkar each have a different pet: parrot, rabbit or cat. Karan does not have the cat. Omkar does not have the parrot. Priya does not have the rabbit. Omkar does not have the rabbit. Which pet does Karan have? (a) parrot (b) rabbit (c) cat
27. 27.Books read in the summer holidays: Meera 22, Aarav 25, Omkar 30, Isha 5, Rohan 15. What is the difference between the highest and the lowest?
28. 28.In a group of 33 grown-ups, 6 drink tea, 21 drink coffee and 2 drink both. How many drink exactly one of the two?
29. 29.Five friends (Dev, Ira, Rahul, Riya and Saanvi) sit in a row. Left and right are as you look at them. Dev sits next to both Ira and Riya. Rahul sits somewhere to the left of Ira. Ira sits next to both Saanvi and Dev. Saanvi does not sit at either end. Who sits just to the right of Saanvi? (a) Riya (b) Dev (c) Ira (d) Rahul
30. 30.Find the missing number. The same rule works in every row or in every column.
    4 | 10 | 15
    12 | 13 | 8
    16 | 23 | ?
31. 31.Statements: No pens are shoes. Some pens are rings. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
32. 32.Ishaan, Dev and Sneha each have a different pet: rabbit, dog or cat. Ishaan does not have the cat. Ishaan does not have the rabbit. Sneha does not have the rabbit. Who has the dog? (a) Ishaan (b) Dev (c) Sneha
33. 33.A clock shows 7:10. What time will it show 45 minutes later? (a) 7:45 (b) 8:05 (c) 7:55 (d) 8:55
34. 34.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?
35. 35.Diya, Neel and Vivaan each play a different game: carrom, cricket or chess. Neel does not play chess. Neel does not play carrom. Vivaan does not play chess. Which game does Neel play? (a) carrom (b) cricket (c) chess
36. 36.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 26 | 11
    8 | 20 | 32
    29 | 14 | 17
37. 37.Books read in the summer holidays: Neel 21, Rohan 22, Karan 5, Dev 6, Farhan 19. Who has the most books? (a) Farhan (b) Rohan (c) Neel (d) Karan
38. 38.Find the missing number. The same rule works in every row or in every column.
    14 | ? | 10
    6 | 6 | 5
    20 | 9 | 15
39. 39.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
40. 40.Aditya, Manav and Yash each have a different pet: tortoise, parrot or rabbit. Yash does not have the tortoise. Aditya does not have the parrot. Aditya does not have the rabbit. Yash does not have the rabbit. Who has the tortoise? (a) Aditya (b) Manav (c) Yash

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