Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 462 · 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 24 children, 19 like mangoes, 8 like bananas and 4 like both. How many like exactly one of the two?
2. 2.Find the missing number. The same rule works in every row or in every column.
   8 | 3 | 3
   ? | 1 | 3
   10 | 1 | 3
3. 3.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   6 | 11 | 4
   5 | 7 | 9
   10 | ? | 8
4. 4.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly three painted faces?
5. 5.I am a 2-digit number. My digits add up to 17 and my tens digit is 1 more than my ones digit. What number am I?
6. 6.Three friends (Aisha, Diya and Vivaan) sit in a row. Left and right are as you look at them. Aisha does not sit at either end. Aisha sits just to the right of Vivaan. Who sits at the left end? (a) Aisha (b) Diya (c) Vivaan
7. 7.Each person always tells the truth or always lies. Ananya says: “Sneha is a liar.” Sneha says: “Ananya and I are the same kind.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
8. 8.Which number is the odd one out: 50, 26, 55, 74? (a) 50 (b) 26 (c) 55 (d) 74
9. 9.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 3?
10. 10.Neel walks 19 m West, then turns around and walks 5 m. How far is he from the starting point now (in m)?
11. 11.How many degrees does the hour hand of a clock turn in 133 minutes? =
12. 12.Ananya walks 3 m East, then turns right and walks 15 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
13. 13.Farhan walks 13 m East, then turns left and walks 3 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
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: 59 72 76 16 23 42. After step 4, what is the 2nd number from the left?
15. 15.Is 2011 a leap year? (a) Yes (b) No
16. 16.Rohan is a boy. How is Rohan’s son’s son related to Rohan? (a) brother (b) son (c) nephew (d) grandson
17. 17.Statements: All toys are books. No cups are toys. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
18. 18.Meera is a girl. How is Meera’s brother’s son related to Meera? (a) cousin (b) nephew (c) son (d) brother
19. 19.If LION is written as NOIL, how is DOG written in the same code? (a) FNC (b) GOD (c) EPH (d) HPE
20. 20.Each person always tells the truth or always lies. Isha says: “Myra and I are different kinds.” Myra says: “Isha is a liar.” Is Myra a truth-teller or a liar? (a) truth-teller (b) liar
21. 21.Each person always tells the truth or always lies. Kavya says: “Meera and I are the same kind.” Meera says: “Kavya and I are different kinds.” Is Meera a truth-teller or a liar? (a) truth-teller (b) liar
22. 22.Statements: All boxes are pens. All boxes are books. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
23. 23.Five friends (Aditya, Ananya, Karan, Myra and Omkar) sit in a row. Left and right are as you look at them. Myra does not sit at either end. Ananya sits at the right end. Omkar does not sit at either end. Myra sits next to both Aditya and Ananya. Who sits just to the left of Omkar? (a) Aditya (b) Karan (c) Ananya (d) Omkar
24. 24.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    12 | 14 | 4
    2 | 10 | 18
    16 | 6 | ?
25. 25.Which number is the odd one out: 17, 71, 40, 23? (a) 17 (b) 71 (c) 40 (d) 23
26. 26.If RAIN is written as MHZQ, how is CAT written in the same code? (a) UBD (b) TAC (c) SZB (d) BZS
27. 27.Tara is a girl. How is Tara’s mother’s mother related to Tara? (a) mother (b) sister (c) grandmother (d) aunt
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: 76 84 51 31 96 64. After step 3, what is the 5th number from the left?
29. 29.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 2?
30. 30.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
31. 31.Arjun, Neel and Ira each have a bag of a different colour: white, yellow or red. Ira’s bag is not white. Arjun’s bag is not yellow. Arjun’s bag is not white. Whose bag is white? (a) Arjun (b) Neel (c) Ira
32. 32.Statements: All caps are toys. Some toys are rings. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
33. 33.1 January 2010 is a Friday. What day of the week is 28 March 2010? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
34. 34.Meera is heavier than Manav. Meera is lighter than Yash. Isha is lighter than Manav. Who is the second heaviest? (a) Meera (b) Manav (c) Isha (d) Yash
35. 35.Which capital letter does NOT look the same in a mirror? (a) K (b) O (c) V (d) Y
36. 36.Books read in the summer holidays: Aarav 21, Siddharth 4, Rohan 8, Kabir 6, Omkar 11. Who has the most books? (a) Kabir (b) Aarav (c) Siddharth (d) Omkar
37. 37.Rule: If the shop is open, then Aisha buys milk. Fact: Aisha buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
38. 38.Vivaan is a boy. How is Vivaan’s mother’s only daughter related to Vivaan? (a) sister (b) niece (c) mother (d) aunt
39. 39.13 January is a Thursday. What day of the week is 13 February of the same year? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
40. 40.Three friends (Rohan, Saanvi and Yash) sit in a row. Left and right are as you look at them. Yash sits at the right end. Rohan sits next to both Saanvi and Yash. Who sits just to the left of Yash? (a) Saanvi (b) Rohan (c) Yash

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