Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 484 · 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.Each person always tells the truth or always lies. Diya says: “Manav is a liar.” Manav says: “Diya and I are different kinds.” Is Manav a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.Pooja is a girl. How is Pooja’s father’s father’s only son’s son related to Pooja? (a) father (b) brother (c) uncle (d) cousin
3. 3.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: 31 40 87 83 27 73. After step 2, what is the 4th number from the left?
4. 4.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is open. What can you say about “Aarav does not buy milk”? (a) must be true (b) must be false (c) can't tell
5. 5.Find the missing number. The same rule works in every row or in every column.
   8 | ? | 24
   4 | 7 | 28
   2 | 9 | 18
6. 6.Which number is the odd one out: 13, 29, 82, 17? (a) 13 (b) 29 (c) 82 (d) 17
7. 7.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: 75 24 31 76 12 10. After step 3, what is the 3rd number from the left?
8. 8.Marks in a maths test (out of 50): Ishaan 17, Vivaan 46, Arjun 42, Rahul 33, Manav 36. How many children have more than 24 marks?
9. 9.Siddharth, Neel and Kavya each have a different pet: tortoise, dog or cat. Kavya does not have the cat. Kavya does not have the tortoise. Siddharth does not have the cat. Which pet does Siddharth have? (a) tortoise (b) dog (c) cat
10. 10.Isha runs faster than Sneha. Ira runs faster than Aisha. Aisha runs faster than Isha. Who runs the slowest? (a) Sneha (b) Isha (c) Ira (d) Aisha
11. 11.Two standard dice show 3 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
12. 12.Kites flown at Makar Sankranti: Siddharth 13, Priya 22, Kabir 25, Zoya 11, Tara 17. How many more kites does Kabir have than Siddharth?
13. 13.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
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: 50 59 16 12 54 19. After step 3, what is the 1st number from the left?
15. 15.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 2. What comes out after step 3?
16. 16.A clock shows 1:30. What time does it show in a mirror? (a) 11:30 (b) 10:30 (c) 9:30 (d) 1:30
17. 17.If DRUM is written as WIFN, how is BALL written in the same code? (a) ZAPP (b) XYNN (c) YZOO (d) CBMM
18. 18.Meera is facing North. She turns left, then turns right, then turns right, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
19. 19.Ananya, Meera and Aditya each play a different game: badminton, cricket or football. Meera does not play badminton. Meera does not play football. Aditya does not play football. Which game does Meera play? (a) badminton (b) cricket (c) football
20. 20.Which number is the odd one out: 53, 43, 69, 23? (a) 53 (b) 43 (c) 69 (d) 23
21. 21.Which number is the odd one out: 3, 99, 59, 47? (a) 3 (b) 99 (c) 59 (d) 47
22. 22.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
23. 23.Which number is the odd one out: 59, 57, 71, 89? (a) 59 (b) 57 (c) 71 (d) 89
24. 24.Which number is the odd one out: 85, 89, 79, 71? (a) 85 (b) 89 (c) 79 (d) 71
25. 25.Diya is a girl. How is Diya’s brother’s son related to Diya? (a) brother (b) son (c) nephew (d) cousin
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 7 ÷ 17 − 2?
27. 27.Karan runs slower than Neel. Rohan runs faster than Ishaan. Karan runs faster than Rohan. Who runs the fastest? (a) Rohan (b) Karan (c) Neel (d) Ishaan
28. 28.Yash is facing South. He turns right, then turns right, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
29. 29.Which number is the odd one out: 64, 8, 7, 4? (a) 64 (b) 8 (c) 7 (d) 4
30. 30.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 8. What comes out after step 2?
31. 31.Two standard dice show 5 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
32. 32.1 January 2005 is a Saturday. What day of the week is 11 September 2005? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
33. 33.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 8. What comes out after step 2?
34. 34.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: 81 86 30 64 26 99. After step 2, what is the 3rd number from the left?
35. 35.The sum of three consecutive numbers is 33. What is the largest of them?
36. 36.Which capital letter looks exactly the same in a mirror? (a) L (b) N (c) A (d) P
37. 37.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
38. 38.Each person always tells the truth or always lies. Ananya says: “Yash is a liar.” Yash says: “Ananya and I are different kinds.” Pooja says: “Ananya and I both tell the truth.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
39. 39.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?
40. 40.Find the missing number. The same rule works in every row or in every column.
    ? | 15 | 17
    15 | 16 | 31
    13 | 12 | 25

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