Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 986 · 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.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 × 20 − 13?
2. 2.I am a 2-digit number. My digits add up to 12 and my tens digit is 2 more than my ones digit. What number am I?
3. 3.Is 1900 a leap year? (a) Yes (b) No
4. 4.I am a 2-digit number. My digits add up to 4 and my tens digit is 2 more than my ones digit. What number am I?
5. 5.I am a 2-digit number. My digits add up to 11. If you swap my two digits, the new number is 27 more than me. What number am I?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 19 + 17 × 18?
7. 7.Find the missing number. The same rule works in every row or in every column.
   2 | 10 | ?
   2 | 19 | 10
   4 | 29 | 26
8. 8.Find the missing number. The same rule works in every row or in every column.
   2 | 8 | 16
   8 | 9 | ?
   4 | 6 | 24
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 6 ÷ 10 − 13?
10. 10.Find the missing number. The same rule works in every row or in every column.
    19 | 19 | ?
    6 | 13 | 1
    25 | 32 | 17
11. 11.Find the missing number. The same rule works in every row or in every column.
    6 | ? | 18
    3 | 5 | 15
    3 | 5 | 15
12. 12.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?
13. 13.Ananya is facing East. She turns right, then turns left, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
14. 14.Which number is the odd one out: 25, 36, 18, 60? (a) 25 (b) 36 (c) 18 (d) 60
15. 15.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
16. 16.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: 68 91 93 48 38 23. After step 2, what is the 6th number from the left?
17. 17.Is 2045 a leap year? (a) Yes (b) No
18. 18.Zoya is facing West. She turns around (a half turn), then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
19. 19.Ishaan is lighter than Isha. Ishaan is heavier than Vivaan. Who is the second heaviest? (a) Vivaan (b) Ishaan (c) Isha
20. 20.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) B (b) M (c) F (d) A
21. 21.Each person always tells the truth or always lies. Sneha says: “Myra is a liar.” Myra says: “Sneha and I are the same kind.” Is Sneha a truth-teller or a liar? (a) truth-teller (b) liar
22. 22.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
23. 23.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya gets a gold star. What can you say about “Zoya does not score above 90”? (a) must be true (b) must be false (c) can't tell
24. 24.Kavya walks 8 m North, then turns right and walks 15 m. How far is she from the starting point now, in a straight line (in m)?
25. 25.Statements: All shoes are boxes. All shoes are bags. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
26. 26.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 8. What comes out after step 2?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 5 ÷ 19 × 8?
28. 28.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) P (b) W (c) I (d) Q
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 17 − 13 × 9?
30. 30.Find the missing number. The same rule works in every row or in every column.
    11 | 14 | 2
    12 | 14 | 1
    18 | ? | 2
31. 31.Vivaan runs slower than Ira. Meera runs faster than Ira. Rohan runs slower than Vivaan. Who runs the second slowest? (a) Meera (b) Ira (c) Rohan (d) Vivaan
32. 32.Find the missing number. The same rule works in every row or in every column.
    2 | 2 | 17
    18 | 1 | 2
    ? | 2 | 4
33. 33.Two standard dice show 5 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
34. 34.Sneha is a girl. How is Sneha’s father’s father’s only son’s son related to Sneha? (a) father (b) brother (c) uncle (d) cousin
35. 35.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) S (b) X (c) P (d) V
36. 36.Which number is the odd one out: 17, 89, 46, 29? (a) 17 (b) 89 (c) 46 (d) 29
37. 37.How many degrees does the hour hand of a clock turn in 173 minutes? =
38. 38.How many degrees does the minute hand of a clock turn in 7 minutes? =
39. 39.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
40. 40.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 4. What comes out after step 3?

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