Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 570 · 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 number is the odd one out: 29, 54, 73, 11? (a) 29 (b) 54 (c) 73 (d) 11
2. 2.Three friends (Neel, Nisha and Rohan) sit in a row. Left and right are as you look at them. Neel sits somewhere to the left of Rohan. Nisha does not sit at either end. Who sits just to the left of Rohan? (a) Neel (b) Nisha (c) Rohan
3. 3.Which capital letter looks exactly the same in a mirror? (a) Q (b) G (c) F (d) V
4. 4.Saanvi is facing North. She turns left, then turns right, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
5. 5.Which number is the odd one out: 24, 48, 65, 78? (a) 24 (b) 48 (c) 65 (d) 78
6. 6.15 April is a Sunday. What day of the week is 15 May of the same year? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
7. 7.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 5. What comes out after step 2?
8. 8.Which number is the odd one out: 73, 92, 47, 41? (a) 73 (b) 92 (c) 47 (d) 41
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 4 × 12 + 19?
10. 10.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
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: 63 53 88 36 27 77. After step 3, what is the 3rd number from the left?
12. 12.Vivaan is older than Aditya. Aditya is older than Zoya. Who is the second youngest? (a) Vivaan (b) Aditya (c) Zoya
13. 13.Find the missing number. The same rule works in every row or in every column.
    ? | 9 | 5
    17 | 5 | 4
    23 | 1 | 2
14. 14.If COLD is written as XLOW, how is TOYS written in the same code? (a) HMCI (b) UPZT (c) FKAG (d) GLBH
15. 15.Which number is the odd one out: 45, 99, 35, 69? (a) 45 (b) 99 (c) 35 (d) 69
16. 16.In a group of 37 grown-ups, 18 drink tea, 19 drink coffee and 3 drink both. How many drink only coffee?
17. 17.Statements: No toys are balls. All cups are balls. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
18. 18.Trees planted in a week: Riya 23, Ishaan 6, Nisha 10, Karan 5, Isha 26. What is the difference between the highest and the lowest?
19. 19.In a group of 31 children, 11 like mangoes, 20 like bananas and 6 like both. How many like exactly one of the two?
20. 20.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul finishes the homework. What can you say about “Rahul goes to the park”? (a) must be true (b) must be false (c) can't tell
21. 21.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 7. What comes out after step 2?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 14 ÷ 5 + 10?
23. 23.Two standard dice show 2 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
24. 24.Each person always tells the truth or always lies. Omkar says: “Aditya tells the truth.” Kavya says: “Omkar is a liar.” Aditya says: “Kavya and I both tell the truth.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
25. 25.Marks in a maths test (out of 50): Omkar 29, Yash 20, Arjun 50, Dev 44, Rohan 26. What is the difference between the highest and the lowest?
26. 26.Ira is lighter than Ishaan. Tara is heavier than Meera. Meera is heavier than Ishaan. Who is the heaviest? (a) Tara (b) Ira (c) Ishaan (d) Meera
27. 27.Each person always tells the truth or always lies. Zoya says: “Neel tells the truth.” Neel says: “Zoya and I are different kinds.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar
28. 28.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar finishes the homework. What can you say about “Omkar does not go to the park”? (a) must be true (b) must be false (c) can't tell
29. 29.Kites flown at Makar Sankranti: Ananya 24, Sneha 2, Myra 4, Dev 6, Ira 18. What is the total for all five children?
30. 30.Each person always tells the truth or always lies. Nisha says: “Vivaan is a liar.” Siddharth says: “Nisha is a liar.” Vivaan says: “Nisha and I are different kinds.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.Four friends (Ira, Karan, Riya and Zoya) sit in a row. Left and right are as you look at them. Karan does not sit at either end. Karan sits somewhere to the left of Riya. Karan sits next to both Zoya and Ira. Ira sits next to both Karan and Riya. Who sits at the left end? (a) Riya (b) Ira (c) Karan (d) Zoya
32. 32.Meera walks 6 m West, then turns left and walks 5 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
33. 33.If JUMP is written as PMUJ, how is MILK written in the same code? (a) LMJN (b) KLIM (c) JKHL (d) NJML
34. 34.Ananya walks 20 m North, turns left and walks 8 m, then turns left again and walks 5 m. How far is she from the starting point now, in a straight line (in m)?
35. 35.Each person always tells the truth or always lies. Aditya says: “Ira is a liar.” Ira says: “At least one of us two, Aditya or I, is a liar.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
36. 36.Which number is the odd one out: 43, 72, 73, 13? (a) 43 (b) 72 (c) 73 (d) 13
37. 37.Rohan is younger than Yash. Rohan is older than Zoya. Who is the oldest? (a) Rohan (b) Zoya (c) Yash
38. 38.Isha is a girl. How is Isha’s daughter’s husband related to Isha? (a) brother-in-law (b) nephew (c) son-in-law (d) son
39. 39.Five friends (Ananya, Arjun, Meera, Sneha and Tara) sit in a row. Left and right are as you look at them. Meera does not sit at either end. Arjun sits just to the right of Meera. Ananya sits somewhere to the left of Arjun. Sneha sits somewhere to the left of Arjun. Meera sits just to the right of Sneha. Tara sits just to the right of Arjun. Who sits in the middle? (a) Ananya (b) Meera (c) Tara (d) Sneha
40. 40.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly three painted faces?

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