Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 415 · 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.Is 1800 a leap year? (a) Yes (b) No
2. 2.Statements: All balls are bags. Some bags are bells. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.Find the missing number. The same rule works in every row or in every column.
   4 | ? | 36
   7 | 2 | 14
   2 | 3 | 6
4. 4.In a group of 30 children, 15 enjoy drawing, 26 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
5. 5.Each person always tells the truth or always lies. Myra says: “Manav is a liar.” Manav says: “Myra and I are different kinds.” Is Manav a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.Aisha is a girl. How is Aisha’s father’s sister related to Aisha? (a) sister (b) mother (c) cousin (d) aunt
7. 7.Each person always tells the truth or always lies. Karan says: “Neel and I are the same kind.” Neel says: “Karan and I both tell the truth.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 9 × 9 ÷ 17?
9. 9.3 March is a Thursday. What day of the week is 3 April of the same year? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
10. 10.Rahul, Meera and Rohan each have a bag of a different colour: green, blue or red. Rohan’s bag is not blue. Meera’s bag is not red. Meera’s bag is not green. Rahul’s bag is not red. What colour is Meera’s bag? (a) green (b) blue (c) red
11. 11.How many degrees does the minute hand of a clock turn in 35 minutes? =
12. 12.Trees planted in a week: Zoya 23, Tara 16, Rahul 40, Ira 27, Meera 26. What is the total for all five children?
13. 13.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    16 | 9 | 14
    11 | 13 | 15
    12 | 17 | ?
14. 14.Which number is the odd one out: 79, 67, 27, 61? (a) 79 (b) 67 (c) 27 (d) 61
15. 15.Find the missing number. The same rule works in every row or in every column.
    7 | 6 | ?
    9 | 9 | 81
    5 | 4 | 20
16. 16.Each person always tells the truth or always lies. Aditya says: “At least one of us two, Meera or I, is a liar.” Meera says: “Dev is a liar.” Dev says: “Meera is a liar.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.Steps climbed in a minute: Aarav 38, Saanvi 33, Neel 39, Tara 51, Omkar 73. What is the total for all five children?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 4 + 9 × 9?
19. 19.Rahul, Arjun and Kabir each have a different pet: rabbit, cat or dog. Rahul does not have the cat. Arjun does not have the rabbit. Kabir does not have the rabbit. Arjun does not have the cat. Which pet does Arjun have? (a) rabbit (b) cat (c) dog
20. 20.Find the missing number. The same rule works in every row or in every column.
    ? | 5 | 10
    6 | 2 | 12
    9 | 5 | 45
21. 21.Aditya, Arjun and Aarav each have a bag of a different colour: blue, white or red. Aarav’s bag is not blue. Aarav’s bag is not white. Arjun’s bag is not white. What colour is Aditya’s bag? (a) blue (b) white (c) red
22. 22.A clock shows 12:48. What time does it show in a mirror? (a) 10:12 (b) 11:12 (c) 12:12 (d) 12:48
23. 23.Is 1900 a leap year? (a) Yes (b) No
24. 24.In a group of 32 children, 9 like mangoes, 19 like bananas and 5 like both. How many like exactly one of the two?
25. 25.Nisha walks 11 m South, turns left and walks 8 m, then turns left again and walks 5 m. How far is she from the starting point now, in a straight line (in m)?
26. 26.8 October is a Monday. What day of the week is 8 November of the same year? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
27. 27.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    27 | 30 | 15
    12 | 24 | 36
    ? | 18 | 21
28. 28.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
29. 29.Two standard dice show 3 and 3 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
30. 30.Vivaan walks 8 m West, turns left and walks 8 m, then turns left again and walks 2 m. How far is he from the starting point now, in a straight line (in m)?
31. 31.Tara, Diya and Yash each have a different pet: dog, tortoise or cat. Diya does not have the dog. Yash does not have the tortoise. Yash does not have the cat. Diya does not have the tortoise. Who has the dog? (a) Tara (b) Diya (c) Yash
32. 32.Three friends (Priya, Rohan and Siddharth) sit in a row. Left and right are as you look at them. Rohan does not sit at either end. Rohan sits just to the right of Priya. Who sits just to the left of Siddharth? (a) Priya (b) Siddharth (c) Rohan
33. 33.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 6. What comes out after step 2?
34. 34.Is 2029 a leap year? (a) Yes (b) No
35. 35.Each person always tells the truth or always lies. Ira says: “Ananya is a liar.” Ananya says: “At least one of us two, Ira or I, is a liar.” Ishaan says: “Ananya tells the truth.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
36. 36.Each person always tells the truth or always lies. Aarav says: “Dev is a liar.” Dev says: “Aarav and I are different kinds.” Sneha says: “Aarav tells the truth.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.Rule: If the shop is open, then Manav buys milk. Fact: Manav buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
38. 38.In a group of 27 children, 16 play cricket, 18 play football and 9 play both. How many play exactly one of the two?
39. 39.Ira, Vivaan and Sneha each have a different pet: cat, dog or parrot. Vivaan does not have the cat. Sneha does not have the dog. Ira does not have the dog. Ira does not have the parrot. Who has the cat? (a) Ira (b) Vivaan (c) Sneha
40. 40.Is 2400 a leap year? (a) Yes (b) No

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