Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 538 · 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.Dev, Priya and Tara each have a different pet: tortoise, parrot or rabbit. Priya does not have the parrot. Dev does not have the parrot. Priya does not have the rabbit. Who has the rabbit? (a) Dev (b) Priya (c) Tara
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 4 × 20 − 4?
3. 3.Yash, Aarav and Priya each play a different game: chess, badminton or football. Yash does not play badminton. Aarav does not play chess. Aarav does not play football. Priya does not play football. Who plays badminton? (a) Yash (b) Aarav (c) Priya
4. 4.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 6. What comes out after step 2?
5. 5.Which number is the odd one out: 40, 8, 80, 21? (a) 40 (b) 8 (c) 80 (d) 21
6. 6.Statements: Some caps are bags. Some books are caps. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
7. 7.If PEN is written as KVM, how is HAND written in the same code? (a) IBOE (b) TANX (c) SZMW (d) RYLV
8. 8.In a group of 37 children, 17 like mangoes, 13 like bananas and 6 like both. How many like exactly one of the two?
9. 9.Find the missing number. The same rule works in every row or in every column.
   3 | 4 | 7
   18 | 7 | 25
   8 | ? | 18
10. 10.Zoya, Vivaan and Ira each have a different pet: dog, cat or parrot. Zoya does not have the parrot. Ira does not have the cat. Vivaan does not have the dog. Zoya does not have the cat. Which pet does Vivaan have? (a) dog (b) cat (c) parrot
11. 11.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have no painted face?
12. 12.The sum of three consecutive even numbers is 84. What is the largest of them?
13. 13.Find the missing number. The same rule works in every row or in every column.
    3 | 9 | 27
    9 | 9 | 81
    3 | ? | 9
14. 14.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 8. What comes out after step 2?
15. 15.Aarav is a boy. How is Aarav’s father’s sister related to Aarav? (a) mother (b) cousin (c) aunt (d) sister
16. 16.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya does not get a medal. What can you say about “Ananya wins the match”? (a) must be true (b) must be false (c) can't tell
17. 17.Five friends (Aditya, Farhan, Kabir, Kavya and Zoya) sit in a row. Left and right are as you look at them. Zoya sits next to both Kavya and Kabir. Kavya sits somewhere to the left of Aditya. Kabir does not sit at either end. Farhan sits somewhere to the left of Zoya. Kabir sits next to both Zoya and Aditya. Who sits just to the right of Kavya? (a) Farhan (b) Zoya (c) Kavya (d) Aditya
18. 18.Five friends (Ishaan, Kabir, Myra, Pooja and Sneha) sit in a row. Left and right are as you look at them. Myra sits just to the right of Pooja. Myra does not sit at either end. Sneha sits somewhere to the left of Kabir. Pooja sits somewhere to the left of Kabir. Pooja sits somewhere to the left of Ishaan. Sneha sits next to both Myra and Ishaan. Who sits at the right end? (a) Ishaan (b) Kabir (c) Myra (d) Sneha
19. 19.Which number is the odd one out: 89, 11, 9, 67? (a) 89 (b) 11 (c) 9 (d) 67
20. 20.If PEN is written as ODM, how is CAT written in the same code? (a) DBU (b) AYR (c) CAT (d) BZS
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.Siddharth is lighter than Myra. Myra is lighter than Rohan. Who is the heaviest? (a) Siddharth (b) Myra (c) Rohan
23. 23.Pooja walks 8 m North, then turns around and walks 4 m. How far is she from the starting point now (in m)?
24. 24.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    17 | 15 | 25
    27 | 19 | ?
    13 | 23 | 21
25. 25.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    14 | 16 | 6
    4 | ? | 20
    18 | 8 | 10
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 6 ÷ 4 − 18?
27. 27.Steps climbed in a minute: Kabir 35, Aditya 22, Diya 87, Rahul 21, Omkar 29. How many children have more than 22 steps?
28. 28.Find the missing number. The same rule works in every row or in every column.
    6 | 6 | 36
    ? | 5 | 35
    3 | 2 | 6
29. 29.Runs scored in a cricket match: Isha 40, Nisha 32, Saanvi 26, Meera 34, Aditya 22. Who has the most runs? (a) Saanvi (b) Isha (c) Meera (d) Nisha
30. 30.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 7. What comes out after step 2?
31. 31.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
32. 32.Dev, Rohan and Siddharth each have a different pet: parrot, tortoise or dog. Rohan does not have the dog. Rohan does not have the parrot. Siddharth does not have the parrot. Who has the parrot? (a) Dev (b) Rohan (c) Siddharth
33. 33.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly three painted faces?
34. 34.Rohan, Pooja and Yash each have a bag of a different colour: yellow, white or red. Pooja’s bag is not yellow. Rohan’s bag is not yellow. Rohan’s bag is not white. Whose bag is white? (a) Rohan (b) Pooja (c) Yash
35. 35.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
36. 36.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: 86 15 76 52 10 33. After step 4, what is the 2nd number from the left?
37. 37.Statements: No shoes are keys. Some bells are keys. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
38. 38.Tara walks 11 m West, then turns right and walks 13 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
39. 39.How many degrees does the hour hand of a clock turn in 99 minutes? =
40. 40.Pooja is taller than Zoya. Arjun is taller than Pooja. Who is the shortest? (a) Zoya (b) Pooja (c) Arjun

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