Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 561 · 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.The sum of three consecutive even numbers is 114. What is the largest of them?
2. 2.Statements: Some coins are bells. Some bells are caps. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.How many degrees does the minute hand of a clock turn in 6 minutes? =
4. 4.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   14 | 12 | ?
   24 | 16 | 8
   10 | 20 | 18
5. 5.Kites flown at Makar Sankranti: Dev 2, Aditya 8, Omkar 6, Neel 3, Riya 13. Who has the fewest kites? (a) Neel (b) Aditya (c) Riya (d) Dev
6. 6.Siddharth is a boy. How is Siddharth’s sister’s son related to Siddharth? (a) nephew (b) brother (c) cousin (d) son
7. 7.Kabir is a boy. How is Kabir’s father’s father’s only son related to Kabir? (a) brother (b) uncle (c) grandfather (d) father
8. 8.Which capital letter looks exactly the same in a mirror? (a) C (b) P (c) T (d) J
9. 9.Each person always tells the truth or always lies. Aditya says: “Tara and I both tell the truth.” Tara says: “Aditya is a liar.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 4 × 7 + 10?
11. 11.Today is Thursday. What day of the week will it be 30 days from today? (a) Friday (b) Sunday (c) Saturday (d) Monday
12. 12.Myra walks 13 m South, turns left and walks 12 m, then turns left again and walks 8 m. How far is she from the starting point now, in a straight line (in m)?
13. 13.Diya is heavier than Rohan. Diya is lighter than Arjun. Rohan is heavier than Omkar. Who is the second heaviest? (a) Omkar (b) Arjun (c) Rohan (d) Diya
14. 14.If PEN is written as KVM, how is WIND written in the same code? (a) XJOE (b) DRMW (c) CQLV (d) ESNX
15. 15.Manav, Isha and Meera each have a different pet: tortoise, parrot or dog. Manav does not have the tortoise. Meera does not have the parrot. Isha does not have the tortoise. Manav does not have the dog. Which pet does Manav have? (a) tortoise (b) parrot (c) dog
16. 16.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
17. 17.Which number is the odd one out: 38, 11, 2, 61? (a) 38 (b) 11 (c) 2 (d) 61
18. 18.If BOAT is written as ZMYR, how is GOLD written in the same code? (a) DLIA (b) IQNF (c) EMJB (d) FNKC
19. 19.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 13 43 38 64 16. After step 4, what is the 2nd number from the left?
20. 20.Find the missing number. The same rule works in every row or in every column.
    22 | 1 | 1
    10 | 4 | ?
    4 | 12 | 8
21. 21.Ira is a girl. How is Ira’s father’s father’s only son’s son related to Ira? (a) brother (b) uncle (c) cousin (d) father
22. 22.Find the missing number. The same rule works in every row or in every column.
    3 | 9 | 27
    9 | 4 | 36
    3 | 6 | ?
23. 23.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan goes to the park. What can you say about “Rohan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
24. 24.Statements: All kites are caps. Some caps are cups. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
25. 25.Five friends (Aarav, Ishaan, Nisha, Rohan and Siddharth) sit in a row. Left and right are as you look at them. Aarav sits somewhere to the left of Rohan. Siddharth sits at the left end. Ishaan sits next to both Siddharth and Aarav. Aarav sits next to both Ishaan and Nisha. Who sits just to the right of Siddharth? (a) Rohan (b) Ishaan (c) Aarav (d) Nisha
26. 26.I am a 2-digit number. My digits add up to 9. If you swap my two digits, the new number is 63 more than me. What number am I?
27. 27.Aditya, Neel and Rohan each have a bag of a different colour: red, blue or white. Aditya’s bag is not white. Neel’s bag is not blue. Rohan’s bag is not blue. Neel’s bag is not white. Whose bag is red? (a) Aditya (b) Neel (c) Rohan
28. 28.Each person always tells the truth or always lies. Arjun says: “Nisha is a liar.” Nisha says: “Arjun and I both tell the truth.” Karan says: “Nisha and I both tell the truth.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
29. 29.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 2. What comes out after step 3?
30. 30.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: 29 77 19 51 81 96. After step 2, what is the 3rd number from the left?
31. 31.Runs scored in a cricket match: Yash 59, Siddharth 50, Sneha 52, Karan 21, Neel 34. What is the total for all five children?
32. 32.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 16 | 9
    10 | 12 | 14
    15 | 8 | 13
33. 33.Is 1900 a leap year? (a) Yes (b) No
34. 34.Rule: If the shop is open, then Siddharth buys milk. Fact: Siddharth does not buy milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
35. 35.Each person always tells the truth or always lies. Zoya says: “Tara tells the truth.” Aarav says: “Zoya and I are the same kind.” Tara says: “Aarav and I are different kinds.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar
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.Two standard dice show 4 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
38. 38.Each person always tells the truth or always lies. Zoya says: “Farhan tells the truth.” Riya says: “Zoya and I are the same kind.” Farhan says: “Riya is a liar.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
39. 39.Marks in a maths test (out of 50): Zoya 37, Yash 44, Arjun 19, Isha 27, Rohan 24. What is the difference between the highest and the lowest?
40. 40.Kabir walks 27 m West, then turns around and walks 23 m. How far is he from the starting point now (in m)?

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