Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 771 · 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.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 16 − 4 × 3?
2. 2.Manav is older than Rahul. Vivaan is younger than Rahul. Vivaan is older than Aarav. Who is the youngest? (a) Vivaan (b) Aarav (c) Rahul (d) Manav
3. 3.Each person always tells the truth or always lies. Isha says: “Dev tells the truth.” Dev says: “Isha and I are the same kind.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
4. 4.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 8. What comes out after step 2?
5. 5.If TREE is written as GIVV, how is DOG written in the same code? (a) XMU (b) WLT (c) VKS (d) EPH
6. 6.If TREE is written as VTGG, how is FROG written in the same code? (a) HTQI (b) DPME (c) IURJ (d) GSPH
7. 7.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: 79 18 61 66 39 54. After step 2, what is the 6th number from the left?
8. 8.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
9. 9.Saanvi is a girl. How is Saanvi’s brother’s son related to Saanvi? (a) nephew (b) son (c) cousin (d) brother
10. 10.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 4. What comes out after step 3?
11. 11.Find the missing number. The same rule works in every row or in every column.
    2 | 6 | 12
    4 | 2 | 8
    4 | 8 | ?
12. 12.Diya walks 7 m South, turns left and walks 12 m, then turns left again and walks 2 m. How far is she from the starting point now, in a straight line (in m)?
13. 13.Rule: If Myra wins the match, then Myra gets a medal. Fact: Myra gets a medal. What can you say about “Myra wins the match”? (a) must be true (b) must be false (c) can't tell
14. 14.Ananya, Kabir and Farhan each have a different pet: cat, rabbit or dog. Kabir does not have the cat. Kabir does not have the dog. Farhan does not have the dog. Which pet does Kabir have? (a) cat (b) rabbit (c) dog
15. 15.Statements: No pens are rings. All bags are rings. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
16. 16.Which capital letter does NOT look the same in a mirror? (a) X (b) K (c) A (d) Y
17. 17.Today is Saturday. What day of the week will it be 39 days from today? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
18. 18.Statements: Some coins are rings. All balls are rings. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
19. 19.If GOLD is written as CKNF, how is SUN written in the same code? (a) NUS (b) MTR (c) RTM (d) OVT
20. 20.Four friends (Aarav, Ishaan, Saanvi and Vivaan) sit in a row. Left and right are as you look at them. Saanvi sits at the right end. Vivaan sits just to the right of Aarav. Aarav sits next to both Ishaan and Vivaan. Who sits just to the right of Ishaan? (a) Ishaan (b) Aarav (c) Saanvi (d) Vivaan
21. 21.Saanvi is older than Aditya. Saanvi is younger than Riya. Who is the second youngest? (a) Saanvi (b) Riya (c) Aditya
22. 22.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly three painted faces?
23. 23.How many degrees does the minute hand of a clock turn in 24 minutes? =
24. 24.Neel, Kavya and Diya each have a different pet: parrot, tortoise or cat. Diya does not have the tortoise. Kavya does not have the tortoise. Kavya does not have the parrot. Which pet does Diya have? (a) parrot (b) tortoise (c) cat
25. 25.Tara walks 9 m North, then turns right and walks 3 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 12 − 19 + 19?
27. 27.Marks in a maths test (out of 50): Manav 22, Riya 35, Pooja 50, Omkar 20, Arjun 39. How many more marks does Manav have than Omkar?
28. 28.Two standard dice show 1 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
29. 29.Aditya is facing East. He turns right, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
30. 30.I am a 2-digit number. My digits add up to 5 and my tens digit is 3 more than my ones digit. What number am I?
31. 31.Tara is taller than Manav. Tara is shorter than Omkar. Who is the second tallest? (a) Tara (b) Manav (c) Omkar
32. 32.In a group of 39 children, 29 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing exactly one of the two?
33. 33.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 5. What comes out after step 3?
34. 34.Which capital letter does NOT look the same in a mirror? (a) A (b) Z (c) X (d) W
35. 35.Dev is a boy. How is Dev’s mother’s brother related to Dev? (a) cousin (b) uncle (c) brother (d) grandfather
36. 36.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
37. 37.In a group of 33 grown-ups, 22 drink tea, 13 drink coffee and 8 drink both. How many drink only coffee?
38. 38.Rahul is taller than Yash. Ishaan is shorter than Yash. Who is the second shortest? (a) Yash (b) Rahul (c) Ishaan
39. 39.In a group of 38 children, 16 play chess, 21 play carrom and 7 play both. How many play neither of the two?
40. 40.1 January 2026 is a Thursday. What day of the week is 15 February 2026? (a) Sunday (b) Tuesday (c) Monday (d) Saturday

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