Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 92 · 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.Aisha is shorter than Myra. Rohan is shorter than Aisha. Who is the tallest? (a) Aisha (b) Rohan (c) Myra
2. 2.Which number is the odd one out: 37, 73, 18, 89? (a) 37 (b) 73 (c) 18 (d) 89
3. 3.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have at least one painted face?
4. 4.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera does not get a gold star. What can you say about “Meera scores above 90”? (a) must be true (b) must be false (c) can't tell
5. 5.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly three painted faces?
6. 6.Three friends (Ananya, Dev and Rohan) sit in a row. Left and right are as you look at them. Dev sits at the left end. Rohan sits next to both Dev and Ananya. Who sits at the right end? (a) Ananya (b) Dev (c) Rohan
7. 7.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 9. What comes out after step 2?
8. 8.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
9. 9.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya finishes the homework. What can you say about “Priya does not go to the park”? (a) must be true (b) must be false (c) can't tell
10. 10.Omkar is a boy. How is Omkar’s sister’s son related to Omkar? (a) cousin (b) brother (c) nephew (d) son
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 10 + 10 × 14?
12. 12.Pooja, Zoya and Ishaan each have a different pet: tortoise, parrot or dog. Ishaan does not have the parrot. Zoya does not have the dog. Pooja does not have the dog. Zoya does not have the tortoise. Who has the parrot? (a) Pooja (b) Zoya (c) Ishaan
13. 13.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 9 | 23
    21 | 17 | 13
    11 | 25 | 15
14. 14.Which number is the odd one out: 79, 86, 59, 29? (a) 79 (b) 86 (c) 59 (d) 29
15. 15.Statements: No cups are books. No balls are cups. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
16. 16.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 7. What comes out after step 2?
17. 17.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: 63 79 61 13 48 12. After step 2, what is the 2nd number from the left?
18. 18.Which number is the odd one out: 12, 73, 31, 83? (a) 12 (b) 73 (c) 31 (d) 83
19. 19.Which number is the odd one out: 59, 94, 79, 17? (a) 59 (b) 94 (c) 79 (d) 17
20. 20.Today is Friday. What day of the week will it be 48 days from today? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
21. 21.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
22. 22.Vivaan is lighter than Aisha. Vivaan is heavier than Sneha. Who is the heaviest? (a) Vivaan (b) Sneha (c) Aisha
23. 23.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 9. What comes out after step 3?
24. 24.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly three painted faces?
25. 25.Rahul is facing West. He turns right, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
26. 26.Two standard dice show 2 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
27. 27.Runs scored in a cricket match: Aisha 12, Aditya 26, Dev 30, Riya 11, Zoya 19. What is the total for all five children?
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.If MILK is written as KLIM, how is BOAT written in the same code? (a) TAOB (b) CPBU (c) UBPC (d) SZNA
30. 30.Saanvi, Ishaan and Isha each have a bag of a different colour: red, blue or white. Saanvi’s bag is not red. Isha’s bag is not red. Saanvi’s bag is not white. What colour is Isha’s bag? (a) red (b) blue (c) white
31. 31.In a group of 23 children, 13 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
32. 32.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) S (b) B (c) V (d) W
33. 33.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 14 | 9
    8 | 12 | 16
    15 | 10 | 11
34. 34.Find the missing number. The same rule works in every row or in every column.
    14 | 18 | ?
    11 | 15 | 6
    25 | 33 | 18
35. 35.Which number is the odd one out: 97, 57, 83, 89? (a) 97 (b) 57 (c) 83 (d) 89
36. 36.The sum of three consecutive even numbers is 48. What is the largest of them?
37. 37.Ananya is a girl. How is Ananya’s son’s wife related to Ananya? (a) niece (b) daughter (c) daughter-in-law (d) sister-in-law
38. 38.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
39. 39.Statements: All pens are rings. All boxes are rings. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
40. 40.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 4 | 9
    6 | 8 | 10
    7 | 12 | 5

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