Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 101 · 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.Find the missing number. The same rule works in every row or in every column.
   26 | 1 | 2
   24 | 1 | 4
   16 | 4 | ?
2. 2.Karan is a boy. How is Karan’s father’s only son’s sister related to Karan? (a) cousin (b) aunt (c) mother (d) sister
3. 3.Find the missing number. The same rule works in every row or in every column.
   3 | 7 | 2
   2 | 9 | 1
   ? | 2 | 7
4. 4.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya scores above 90. What can you say about “Priya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
5. 5.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have exactly two painted faces?
6. 6.Farhan walks 4 m North, then turns right and walks 10 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 11 ÷ 3 × 20?
8. 8.1 January 2016 is a Friday. What day of the week is 6 April 2016? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
9. 9.Find the missing number. The same rule works in every row or in every column.
   5 | 2 | 10
   6 | 4 | 24
   6 | ? | 54
10. 10.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav finishes the homework. What can you say about “Manav does not go to the park”? (a) must be true (b) must be false (c) can't tell
11. 11.Find the missing number. The same rule works in every row or in every column.
    2 | 3 | 12
    1 | ? | 13
    13 | 1 | 3
12. 12.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
13. 13.Each person always tells the truth or always lies. Pooja says: “Kavya and I are different kinds.” Kavya says: “Pooja is a liar.” Rohan says: “Pooja is a liar.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Find the missing number. The same rule works in every row or in every column.
    10 | 17 | 27
    7 | 12 | ?
    9 | 4 | 13
15. 15.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
16. 16.If DOG is written as WLT, how is SHIP written in the same code? (a) TIJQ (b) GRQJ (c) ITSL (d) HSRK
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 15 ÷ 2 × 20?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 11 × 14 + 19?
19. 19.Siddharth walks 3 km West, then turns right and walks 4 km. How far is he from the starting point now, in a straight line (in km)?
20. 20.Which number is the odd one out: 61, 43, 45, 59? (a) 61 (b) 43 (c) 45 (d) 59
21. 21.Meera, Omkar and Sneha each have a bag of a different colour: blue, red or white. Sneha’s bag is not white. Omkar’s bag is not red. Meera’s bag is not blue. Sneha’s bag is not blue. Whose bag is blue? (a) Meera (b) Omkar (c) Sneha
22. 22.Find the missing number. The same rule works in every row or in every column.
    20 | 5 | 3
    8 | 17 | 16
    ? | 22 | 19
23. 23.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is not open. What can you say about “Aditya buys milk”? (a) must be true (b) must be false (c) can't tell
24. 24.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: 81 90 71 89 72 67. After step 2, what is the 5th number from the left?
25. 25.Is 1990 a leap year? (a) Yes (b) No
26. 26.How many degrees does the hour hand of a clock turn in 33 minutes? =
27. 27.Find the missing number. The same rule works in every row or in every column.
    ? | 14 | 24
    4 | 15 | 19
    11 | 18 | 29
28. 28.Statements: All coins are boxes. All boxes are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.Aditya walks 10 m North, then turns left and walks 4 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
30. 30.Kites flown at Makar Sankranti: Riya 11, Kabir 19, Pooja 9, Manav 23, Myra 13. What is the difference between the highest and the lowest?
31. 31.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    9 | 10 | 5
    4 | 8 | 12
    ? | 6 | 7
32. 32.Which number is the odd one out: 37, 97, 82, 29? (a) 37 (b) 97 (c) 82 (d) 29
33. 33.If WIND is written as EOJX, how is DOG written in the same code? (a) EPH (b) GOD (c) FNC (d) HPE
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 20 × 5 ÷ 12?
35. 35.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
36. 36.Each person always tells the truth or always lies. Ira says: “Ishaan is a liar.” Ishaan says: “Ira and I are different kinds.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 4 − 2 + 16?
38. 38.In a group of 49 children, 26 play cricket, 24 play football and 8 play both. How many play only cricket?
39. 39.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 3. What comes out after step 3?
40. 40.Is 1900 a leap year? (a) Yes (b) No

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