Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 697 · 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.Is 2100 a leap year? (a) Yes (b) No
2. 2.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Z (b) Y (c) T (d) B
3. 3.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 6. What comes out after step 2?
4. 4.Ananya is a girl. How is Ananya’s brother’s wife related to Ananya? (a) sister-in-law (b) aunt (c) sister (d) cousin
5. 5.I am a 2-digit number. My digits add up to 14. If you swap my two digits, the new number is 36 more than me. What number am I?
6. 6.A clock shows 10:16. What time will it show 121 minutes later? (a) 1:17 (b) 12:17 (c) 12:07 (d) 12:27
7. 7.Find the missing number. The same rule works in every row or in every column.
   3 | 9 | 15
   5 | 11 | 12
   8 | 20 | ?
8. 8.Vivaan is a boy. How is Vivaan’s sister’s son related to Vivaan? (a) brother (b) cousin (c) son (d) nephew
9. 9.Which number is the odd one out: 23, 17, 39, 19? (a) 23 (b) 17 (c) 39 (d) 19
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 4 − 7 ÷ 15?
11. 11.Which number is the odd one out: 23, 80, 77, 7? (a) 23 (b) 80 (c) 77 (d) 7
12. 12.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not finish the homework. What can you say about “Arjun does not go to the park”? (a) must be true (b) must be false (c) can't tell
13. 13.Each person always tells the truth or always lies. Farhan says: “At least one of us two, Dev or I, is a liar.” Dev says: “Farhan is a liar.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Statements: All shoes are caps. Some caps are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.Rohan walks 5 m North, 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
16. 16.In a group of 46 children, 20 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing only English songs?
17. 17.4 July is a Sunday. What day of the week is 4 August of the same year? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
18. 18.1 January 2001 is a Monday. What day of the week is 7 May 2001? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
19. 19.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya does not get a medal. What can you say about “Diya wins the match”? (a) must be true (b) must be false (c) can't tell
20. 20.Omkar runs slower than Zoya. Ishaan runs faster than Zoya. Who runs the slowest? (a) Omkar (b) Zoya (c) Ishaan
21. 21.Each person always tells the truth or always lies. Neel says: “Siddharth and I are the same kind.” Siddharth says: “Neel and I both tell the truth.” Is Siddharth a truth-teller or a liar? (a) truth-teller (b) liar
22. 22.Tara is younger than Meera. Nisha is older than Meera. Who is the oldest? (a) Tara (b) Nisha (c) Meera
23. 23.Kites flown at Makar Sankranti: Omkar 24, Saanvi 8, Aisha 4, Karan 14, Ananya 5. Who has the most kites? (a) Ananya (b) Saanvi (c) Omkar (d) Karan
24. 24.Two standard dice show 3 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
25. 25.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
26. 26.The sum of three consecutive numbers is 147. What is the smallest of them?
27. 27.Which number is the odd one out: 43, 53, 59, 21? (a) 43 (b) 53 (c) 59 (d) 21
28. 28.In a group of 38 children, 20 play cricket, 12 play football and 5 play both. How many play only cricket?
29. 29.In a group of 45 children, 20 play cricket, 23 play football and 5 play both. How many play only football?
30. 30.I am a 2-digit number. My digits add up to 3. If you swap my two digits, the new number is 9 more than me. What number am I?
31. 31.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
32. 32.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 23 | 9
    11 | 15 | 19
    21 | 7 | 17
33. 33.In a group of 27 children, 13 play chess, 17 play carrom and 8 play both. How many play neither of the two?
34. 34.Find the missing number. The same rule works in every row or in every column.
    3 | 3 | 9
    4 | 5 | 20
    2 | 2 | ?
35. 35.Find the missing number. The same rule works in every row or in every column.
    ? | 11 | 7
    16 | 7 | 1
    14 | 6 | 4
36. 36.Priya, Dev and Meera each have a different pet: dog, rabbit or tortoise. Meera does not have the tortoise. Priya does not have the tortoise. Meera does not have the dog. Who has the tortoise? (a) Priya (b) Dev (c) Meera
37. 37.Ishaan walks 26 m North, then turns around and walks 14 m. How far is he from the starting point now (in m)?
38. 38.The sum of three consecutive even numbers is 240. What is the largest of them?
39. 39.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev gets a medal. What can you say about “Dev does not win the match”? (a) must be true (b) must be false (c) can't tell
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 16 × 8 ÷ 3?

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