Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 996 · 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.Neel is taller than Isha. Siddharth is taller than Neel. Who is the second shortest? (a) Neel (b) Siddharth (c) Isha
2. 2.If NEST is written as MVHG, how is DOG written in the same code? (a) XMU (b) VKS (c) EPH (d) WLT
3. 3.Three friends (Ira, Rahul and Rohan) sit in a row. Left and right are as you look at them. Rohan sits somewhere to the left of Rahul. Ira sits next to both Rohan and Rahul. Who sits at the right end? (a) Rohan (b) Ira (c) Rahul
4. 4.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?
5. 5.Aisha is a girl. How is Aisha’s brother’s son related to Aisha? (a) son (b) cousin (c) nephew (d) brother
6. 6.Find the missing number. The same rule works in every row or in every column.
   2 | 9 | 18
   9 | 3 | ?
   3 | 6 | 18
7. 7.A clock shows 2:45. What time will it show 63 minutes later? (a) 4:48 (b) 3:38 (c) 3:58 (d) 3:48
8. 8.Each person always tells the truth or always lies. Omkar says: “Pooja is a liar.” Pooja says: “Omkar and I are different kinds.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.Each person always tells the truth or always lies. Isha says: “Kabir and I are the same kind.” Kabir says: “At least one of us two, Isha or I, is a liar.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.Riya, Neel and Priya each have a bag of a different colour: green, yellow or white. Riya’s bag is not green. Neel’s bag is not yellow. Priya’s bag is not white. Riya’s bag is not yellow. What colour is Neel’s bag? (a) green (b) yellow (c) white
11. 11.If STAR is written as RATS, how is BOOK written in the same code? (a) KOOB (b) JNNA (c) CPPL (d) LPPC
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 18 × 18 ÷ 7?
13. 13.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav does not score above 90. What can you say about “Aarav gets a gold star”? (a) must be true (b) must be false (c) can't tell
14. 14.In a group of 51 children, 25 like mangoes, 17 like bananas and 6 like both. How many like at least one of the two?
15. 15.Is 2000 a leap year? (a) Yes (b) No
16. 16.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 7. What comes out after step 2?
17. 17.Farhan is a boy. How is Farhan’s father’s sister related to Farhan? (a) sister (b) aunt (c) cousin (d) mother
18. 18.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
19. 19.Priya walks 10 m North, then turns around and walks 8 m. How far is she from the starting point now (in m)?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 − 19 × 19?
21. 21.Two standard dice show 1 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
22. 22.Isha is younger than Aisha. Vivaan is older than Aisha. Omkar is younger than Isha. Who is the second youngest? (a) Isha (b) Omkar (c) Aisha (d) Vivaan
23. 23.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara goes to the park. What can you say about “Tara finishes the homework”? (a) must be true (b) must be false (c) can't tell
24. 24.Which number is the odd one out: 15, 85, 65, 87? (a) 15 (b) 85 (c) 65 (d) 87
25. 25.Five friends (Aarav, Diya, Priya, Rahul and Vivaan) sit in a row. Left and right are as you look at them. Diya sits somewhere to the left of Vivaan. Priya does not sit at either end. Aarav does not sit at either end. Vivaan sits at the right end. Priya sits next to both Diya and Aarav. Diya sits next to both Rahul and Priya. Who sits just to the right of Rahul? (a) Diya (b) Vivaan (c) Rahul (d) Aarav
26. 26.1 January 2037 is a Thursday. What day of the week is 1 November 2037? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
27. 27.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
28. 28.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: 65 87 13 79 69 95. After step 3, what is the 4th number from the left?
29. 29.What is the smaller angle between the hour hand and the minute hand at 5:35? (in degrees) =
30. 30.Statements: All coins are boxes. Some coins are pens. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.A clock shows 8:48. What time does it show in a mirror? (a) 2:12 (b) 4:48 (c) 3:12 (d) 4:12
32. 32.Each person always tells the truth or always lies. Rahul says: “Yash and I are the same kind.” Yash says: “Rahul and I are the same kind.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
33. 33.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 one painted face?
34. 34.Sneha is a girl. How is Sneha’s father’s sister related to Sneha? (a) sister (b) mother (c) aunt (d) cousin
35. 35.Find the missing number. The same rule works in every row or in every column.
    13 | 4 | 1
    8 | 3 | 7
    ? | 1 | 2
36. 36.Zoya walks 4 km West, then turns right and walks 3 km. How far is she from the starting point now, in a straight line (in km)?
37. 37.I am a 2-digit number. My digits add up to 2 and my tens digit is 2 more than my ones digit. What number am I?
38. 38.In a group of 52 children, 31 play chess, 27 play carrom and 12 play both. How many play neither of the two?
39. 39.Which number is the odd one out: 17, 41, 6, 37? (a) 17 (b) 41 (c) 6 (d) 37
40. 40.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    10 | ? | 8
    5 | 7 | 9
    6 | 11 | 4

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