Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 473 · 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.Each person always tells the truth or always lies. Ananya says: “Omkar and I are the same kind.” Omkar says: “At least one of us two, Ananya or I, is a liar.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.Statements: No pens are bells. Some boxes are pens. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.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
4. 4.Marks in a maths test (out of 50): Kabir 47, Aisha 36, Pooja 22, Ira 43, Diya 17. How many children have more than 36 marks?
5. 5.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
6. 6.Priya is younger than Isha. Nisha is older than Isha. Who is the oldest? (a) Nisha (b) Priya (c) Isha
7. 7.Ira is facing West. She turns left, then turns around (a half turn), then turns right, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 2 ÷ 16 − 5?
9. 9.Statements: All boxes are bells. All bells are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
10. 10.If BALL is written as YZOO, how is TOYS written in the same code? (a) HMCI (b) FKAG (c) UPZT (d) GLBH
11. 11.If PARK is written as RCTM, how is MOON written in the same code? (a) NPPO (b) KMML (c) PRRQ (d) OQQP
12. 12.Aarav is shorter than Saanvi. Myra is taller than Saanvi. Who is the tallest? (a) Saanvi (b) Aarav (c) Myra
13. 13.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have at least one painted face?
14. 14.Each person always tells the truth or always lies. Ananya says: “Rahul and I both tell the truth.” Rahul says: “At least one of us two, Ananya or I, is a liar.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
15. 15.If WIND is written as DNIW, how is JUMP written in the same code? (a) OLTI (b) PMUJ (c) QNVK (d) KVNQ
16. 16.Trees planted in a week: Dev 20, Tara 19, Saanvi 31, Neel 9, Meera 23. What is the total for all five children?
17. 17.Sneha, Meera and Siddharth each have a bag of a different colour: green, yellow or red. Meera’s bag is not red. Sneha’s bag is not yellow. Sneha’s bag is not green. Siddharth’s bag is not yellow. Whose bag is red? (a) Sneha (b) Meera (c) Siddharth
18. 18.I am a 2-digit number. My digits add up to 17. If you swap my two digits, the new number is 9 more than me. What number am I?
19. 19.Marks in a maths test (out of 50): Aditya 49, Ishaan 15, Neel 30, Sneha 48, Aisha 31. How many more marks does Aditya have than Neel?
20. 20.Marks in a maths test (out of 50): Pooja 41, Dev 35, Karan 37, Priya 45, Manav 48. What is the total for all five children?
21. 21.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    12 | 27 | 6
    9 | 15 | 21
    24 | 3 | ?
22. 22.Ishaan walks 22 m West, turns left and walks 12 m, then turns left again and walks 6 m. How far is he from the starting point now, in a straight line (in m)?
23. 23.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar finishes the homework. What can you say about “Omkar does not go to the park”? (a) must be true (b) must be false (c) can't tell
24. 24.In a group of 40 grown-ups, 13 drink tea, 27 drink coffee and 8 drink both. How many drink at least one of the two?
25. 25.Three friends (Arjun, Omkar and Rahul) sit in a row. Left and right are as you look at them. Arjun sits next to both Rahul and Omkar. Arjun sits just to the right of Rahul. Who sits at the right end? (a) Arjun (b) Omkar (c) Rahul
26. 26.Omkar is older than Kavya. Neel is younger than Kavya. Who is the second oldest? (a) Kavya (b) Neel (c) Omkar
27. 27.Rohan walks 12 km South, then turns right and walks 9 km. How far is he from the starting point now, in a straight line (in km)?
28. 28.Statements: All caps are toys. All cups are caps. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 20 − 6 + 7?
30. 30.Statements: Some keys are coins. Some toys are keys. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.Each person always tells the truth or always lies. Neel says: “Kavya and I are different kinds.” Kavya says: “Neel is a liar.” Is Kavya a truth-teller or a liar? (a) truth-teller (b) liar
32. 32.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) C (b) V (c) Y (d) F
33. 33.Which number is the odd one out: 29, 12, 19, 37? (a) 29 (b) 12 (c) 19 (d) 37
34. 34.Kabir, Yash and Myra each play a different game: chess, badminton or football. Kabir does not play football. Yash does not play badminton. Myra does not play football. Myra does not play badminton. Which game does Myra play? (a) chess (b) badminton (c) football
35. 35.Find the missing number. The same rule works in every row or in every column.
    18 | 10 | 11
    12 | ? | 12
    30 | 29 | 23
36. 36.Ira is younger than Nisha. Ira is older than Manav. Neel is older than Nisha. Who is the second oldest? (a) Nisha (b) Manav (c) Neel (d) Ira
37. 37.How many degrees does the hour hand of a clock turn in 67 minutes? =
38. 38.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    16 | 11 | 12
    9 | 13 | 17
    14 | 15 | ?
39. 39.Isha, Kabir and Karan each have a different pet: dog, rabbit or parrot. Kabir does not have the parrot. Isha does not have the rabbit. Karan does not have the dog. Karan does not have the rabbit. Which pet does Karan have? (a) dog (b) rabbit (c) parrot
40. 40.I am a 2-digit number. My digits add up to 7 and my tens digit is 1 more than my ones digit. What number am I?

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