Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 735 · 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.Yash walks 24 km East, then turns right and walks 7 km. How far is he from the starting point now, in a straight line (in km)?
2. 2.Statements: Some balls are boxes. Some boxes are shoes. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.I am a 2-digit number. My digits add up to 11. If you swap my two digits, the new number is 45 more than me. What number am I?
4. 4.Each person always tells the truth or always lies. Isha says: “Tara and I are different kinds.” Tara says: “Isha is a liar.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
5. 5.Is 2030 a leap year? (a) Yes (b) No
6. 6.I am a 2-digit number. My digits add up to 10 and my tens digit is 8 more than my ones digit. What number am I?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 7 − 9 × 3?
8. 8.Statements: All caps are coins. All toys are caps. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
9. 9.Isha walks 13 m South, then turns around and walks 4 m. How far is she from the starting point now (in m)?
10. 10.Zoya walks 3 m South, then turns left and walks 7 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
11. 11.Two standard dice show 6 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
12. 12.Which number is the odd one out: 45, 96, 6, 24? (a) 45 (b) 96 (c) 6 (d) 24
13. 13.A clock shows 2:53. What time will it show 31 minutes later? (a) 3:14 (b) 3:34 (c) 3:24 (d) 4:24
14. 14.How many degrees does the hour hand of a clock turn in 61 minutes? =
15. 15.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha does not go to the park. What can you say about “Nisha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
16. 16.Statements: No cups are coins. No cups are caps. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
17. 17.Pooja is younger than Manav. Riya is older than Manav. Who is the oldest? (a) Manav (b) Pooja (c) Riya
18. 18.Today is Monday. What day of the week will it be 93 days from today? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday
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: 13 15 37 94 79 71. After step 2, what is the 2nd number from the left?
20. 20.How many degrees does the hour hand of a clock turn in 96 minutes? =
21. 21.Kites flown at Makar Sankranti: Aisha 14, Aditya 4, Neel 12, Pooja 7, Kabir 13. How many children have more than 6 kites?
22. 22.Siddharth is a boy. How is Siddharth’s sister’s daughter related to Siddharth? (a) aunt (b) daughter (c) sister (d) niece
23. 23.Saanvi, Rohan and Siddharth each play a different game: carrom, cricket or badminton. Rohan does not play badminton. Siddharth does not play badminton. Siddharth does not play carrom. Which game does Rohan play? (a) carrom (b) cricket (c) badminton
24. 24.Which number is the odd one out: 81, 87, 73, 9? (a) 81 (b) 87 (c) 73 (d) 9
25. 25.Each person always tells the truth or always lies. Vivaan says: “Meera and I are the same kind.” Meera says: “Vivaan and I are different kinds.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
26. 26.Which number is the odd one out: 70, 14, 65, 77? (a) 70 (b) 14 (c) 65 (d) 77
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 9 × 16 + 2?
28. 28.I am a 2-digit number. My digits add up to 3 and my tens digit is 3 more than my ones digit. What number am I?
29. 29.Find the missing number. The same rule works in every row or in every column.
    ? | 16 | 28
    4 | 16 | 20
    4 | 19 | 23
30. 30.Find the missing number. The same rule works in every row or in every column.
    19 | 11 | 6
    15 | ? | 20
    34 | 30 | 26
31. 31.1 January 2005 is a Saturday. What day of the week is 23 June 2005? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
32. 32.Each person always tells the truth or always lies. Ananya says: “Saanvi is a liar.” Saanvi says: “Ananya and I both tell the truth.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
33. 33.If STAR is written as QRYP, how is SHIP written in the same code? (a) PEFM (b) UJKR (c) QFGN (d) RGHO
34. 34.If MOON is written as KMML, how is BOOK written in the same code? (a) DQQM (b) ZMMI (c) YLLH (d) ANNJ
35. 35.In a group of 36 children, 28 play cricket, 17 play football and 10 play both. How many play at least one of the two?
36. 36.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is open. What can you say about “Kabir does not buy milk”? (a) must be true (b) must be false (c) can't tell
37. 37.Two standard dice show 2 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 17 × 7 ÷ 20?
39. 39.A clock shows 9:20. What time will it show 144 minutes later? (a) 11:34 (b) 11:44 (c) 12:44 (d) 11:54
40. 40.Three friends (Ira, Siddharth and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits at the right end. Ira sits just to the right of Siddharth. Who sits just to the right of Ira? (a) Siddharth (b) Ira (c) Vivaan

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