Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 331 · 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.In a group of 39 children, 15 play chess, 14 play carrom and 2 play both. How many play only carrom?
2. 2.26 August is a Thursday. What day of the week is 26 September of the same year? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
3. 3.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: 12 85 17 99 49 27. After step 3, what is the 4th number from the left?
4. 4.Each person always tells the truth or always lies. Nisha says: “Tara and I are the same kind.” Tara says: “At least one of us two, Nisha or I, is a liar.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
5. 5.Each person always tells the truth or always lies. Pooja says: “Karan and I are different kinds.” Karan says: “Aditya is a liar.” Aditya says: “Pooja and I both tell the truth.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.A clock shows 6:51. What time does it show in a mirror? (a) 4:09 (b) 5:09 (c) 6:51 (d) 6:09
7. 7.If STAR is written as QRYP, how is FISH written in the same code? (a) HKUJ (b) EHRG (c) CFPE (d) DGQF
8. 8.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: 67 43 66 73 98 36. After step 2, what is the 2nd number from the left?
9. 9.Trees planted in a week: Ira 16, Yash 13, Karan 35, Rahul 9, Dev 4. Who has the most trees? (a) Yash (b) Rahul (c) Karan (d) Ira
10. 10.Ira, Aisha and Neel each play a different game: badminton, chess or cricket. Aisha does not play badminton. Neel does not play cricket. Ira does not play badminton. Aisha does not play chess. Which game does Ira play? (a) badminton (b) chess (c) cricket
11. 11.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 7. What comes out after step 2?
12. 12.Which number is the odd one out: 24, 9, 48, 36? (a) 24 (b) 9 (c) 48 (d) 36
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 5 ÷ 15 × 3?
14. 14.If COLD is written as XLOW, how is JUMP written in the same code? (a) RGOL (b) PEMJ (c) KVNQ (d) QFNK
15. 15.Is 2000 a leap year? (a) Yes (b) No
16. 16.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
17. 17.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have exactly three painted faces?
18. 18.Aditya runs faster than Nisha. Aarav runs slower than Nisha. Aditya runs slower than Omkar. Who runs the fastest? (a) Aarav (b) Nisha (c) Omkar (d) Aditya
19. 19.Statements: No caps are keys. All balls are keys. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
20. 20.A number machine multiplies a number by 2 and then takes away 5. Each output goes back in as the next input. Start with 8. What comes out after step 3?
21. 21.Two standard dice show 1 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
22. 22.In a group of 47 children, 29 enjoy drawing, 23 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
23. 23.Statements: No shoes are balls. Some bags are shoes. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
24. 24.7 October is a Tuesday. What day of the week is 7 November of the same year? (a) Thursday (b) Saturday (c) Friday (d) Sunday
25. 25.Manav, Neel and Nisha each play a different game: carrom, chess or cricket. Nisha does not play cricket. Neel does not play chess. Nisha does not play carrom. Neel does not play carrom. Who plays carrom? (a) Manav (b) Neel (c) Nisha
26. 26.Riya is taller than Priya. Priya is taller than Kavya. Who is the second tallest? (a) Riya (b) Priya (c) Kavya
27. 27.Farhan is a boy. How is Farhan’s father’s sister related to Farhan? (a) cousin (b) sister (c) aunt (d) mother
28. 28.Statements: All books are kites. Some caps are books. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.If SUN is written as HFM, how is CAT written in the same code? (a) YAH (b) DBU (c) XZG (d) WYF
30. 30.Diya is younger than Saanvi. Arjun is older than Saanvi. Who is the youngest? (a) Saanvi (b) Diya (c) Arjun
31. 31.Which number is the odd one out: 23, 61, 98, 41? (a) 23 (b) 61 (c) 98 (d) 41
32. 32.Rule: If the shop is open, then Tara buys milk. Fact: The shop is not open. What can you say about “Tara buys milk”? (a) must be true (b) must be false (c) can't tell
33. 33.If DESK is written as WVHP, how is DOG written in the same code? (a) XMU (b) VKS (c) WLT (d) EPH
34. 34.Farhan is facing East. He turns left, then turns left, then turns around (a half turn). Which direction is he facing now? (a) North (b) East (c) South (d) West
35. 35.Two standard dice show 5 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
36. 36.Each person always tells the truth or always lies. Ananya says: “Vivaan is a liar.” Farhan says: “Vivaan is a liar.” Vivaan says: “Ananya and I both tell the truth.” Is Farhan a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.Kavya walks 13 m North, then turns around and walks 11 m. How far is she from the starting point now (in m)?
38. 38.Five friends (Farhan, Ishaan, Kabir, Myra and Riya) sit in a row. Left and right are as you look at them. Farhan does not sit at either end. Riya sits just to the right of Kabir. Farhan sits next to both Ishaan and Kabir. Myra sits somewhere to the left of Farhan. Who sits at the left end? (a) Kabir (b) Myra (c) Ishaan (d) Farhan
39. 39.Is 1996 a leap year? (a) Yes (b) No
40. 40.Statements: No pens are boxes. Some boxes are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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