Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 923 · 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. Sneha says: “Tara and I are different kinds.” Karan says: “Tara is a liar.” Tara says: “Sneha and I are different kinds.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   12 | 14 | 4
   ? | 10 | 18
   16 | 6 | 8
3. 3.21 January is a Saturday. What day of the week is 21 February of the same year? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
4. 4.Statements: No pens are bags. All pens are books. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
5. 5.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan does not score above 90. What can you say about “Rohan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
6. 6.Rohan, Omkar and Aditya each have a bag of a different colour: blue, green or yellow. Omkar’s bag is not green. Rohan’s bag is not green. Rohan’s bag is not blue. Whose bag is yellow? (a) Rohan (b) Omkar (c) Aditya
7. 7.Each person always tells the truth or always lies. Siddharth says: “Nisha is a liar.” Nisha says: “Siddharth and I both tell the truth.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
8. 8.Each person always tells the truth or always lies. Pooja says: “At least one of us two, Vivaan or I, is a liar.” Vivaan says: “Pooja and I are the same kind.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.Marks in a maths test (out of 50): Meera 28, Rahul 19, Isha 24, Dev 36, Ishaan 32. Who has the fewest marks? (a) Meera (b) Ishaan (c) Dev (d) Rahul
10. 10.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    12 | 27 | 24
    33 | 21 | ?
    18 | 15 | 30
11. 11.Books read in the summer holidays: Saanvi 25, Kavya 24, Zoya 6, Rahul 7, Yash 29. How many more books does Kavya have than Rahul?
12. 12.If RAIN is written as TCKP, how is DESK written in the same code? (a) BCQI (b) FGUM (c) EFTL (d) GHVN
13. 13.Aditya is a boy. How is Aditya’s son’s wife related to Aditya? (a) daughter-in-law (b) daughter (c) niece (d) sister-in-law
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 2 − 3 ÷ 6?
15. 15.Manav is heavier than Karan. Rahul is heavier than Neel. Neel is heavier than Manav. Who is the heaviest? (a) Neel (b) Karan (c) Manav (d) Rahul
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: 57 19 96 48 21 77. After step 3, what is the 2nd number from the left?
17. 17.A clock shows 7:48. What time will it show 37 minutes later? (a) 9:25 (b) 8:15 (c) 8:35 (d) 8:25
18. 18.9 November is a Wednesday. What day of the week is 9 December of the same year? (a) Saturday (b) Thursday (c) Sunday (d) Friday
19. 19.Four friends (Ananya, Kabir, Omkar and Vivaan) sit in a row. Left and right are as you look at them. Kabir sits just to the right of Ananya. Vivaan sits somewhere to the left of Omkar. Omkar sits at the right end. Ananya does not sit at either end. Who sits at the left end? (a) Ananya (b) Kabir (c) Omkar (d) Vivaan
20. 20.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 11 ÷ 13 × 9?
22. 22.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 6. What comes out after step 2?
23. 23.A clock shows 6:54. What time will it show 168 minutes later? (a) 9:32 (b) 9:52 (c) 10:42 (d) 9:42
24. 24.Five friends (Aarav, Aisha, Meera, Neel and Siddharth) sit in a row. Left and right are as you look at them. Siddharth sits somewhere to the left of Aisha. Neel sits next to both Aisha and Aarav. Aisha sits somewhere to the left of Aarav. Aisha sits just to the right of Meera. Who sits in the middle? (a) Siddharth (b) Meera (c) Aarav (d) Aisha
25. 25.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
26. 26.Kabir is a boy. How is Kabir’s mother’s only daughter related to Kabir? (a) aunt (b) niece (c) mother (d) sister
27. 27.Arjun, Neel and Omkar each have a different pet: rabbit, parrot or dog. Omkar does not have the rabbit. Neel does not have the dog. Arjun does not have the dog. Neel does not have the rabbit. Who has the dog? (a) Arjun (b) Neel (c) Omkar
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 16 × 16 + 6?
29. 29.Which number is the odd one out: 84, 35, 20, 85? (a) 84 (b) 35 (c) 20 (d) 85
30. 30.Each person always tells the truth or always lies. Arjun says: “Saanvi tells the truth.” Saanvi says: “Ishaan tells the truth.” Ishaan says: “Arjun and I are the same kind.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
32. 32.Statements: All coins are rings. All bells are coins. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
33. 33.Priya is heavier than Vivaan. Vivaan is heavier than Saanvi. Who is the lightest? (a) Vivaan (b) Priya (c) Saanvi
34. 34.Ananya is a girl. How is Ananya’s brother’s daughter related to Ananya? (a) niece (b) sister (c) daughter (d) cousin
35. 35.Which number is the odd one out: 87, 11, 13, 79? (a) 87 (b) 11 (c) 13 (d) 79
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: 51 13 47 20 11 24. After step 4, what is the 3rd number from the left?
37. 37.Ira is a girl. How is Ira’s father’s sister’s husband related to Ira? (a) uncle (b) brother-in-law (c) father (d) grandfather
38. 38.Isha walks 20 m East, then turns around and walks 16 m. How far is she from the starting point now (in m)?
39. 39.I am a 2-digit number. My digits add up to 5. If you swap my two digits, the new number is 27 more than me. What number am I?
40. 40.The sum of three consecutive numbers is 147. What is the smallest of them?

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