Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 842 · 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.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 4. What comes out after step 3?
2. 2.I am a 2-digit number. My digits add up to 12 and my tens digit is 2 more than my ones digit. What number am I?
3. 3.If GOLD is written as CKNF, how is MOON written in the same code? (a) MNNL (b) NOOM (c) LNNM (d) OPPN
4. 4.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   24 | 3 | 18
   ? | 15 | 21
   12 | 27 | 6
5. 5.Ananya is a girl. How is Ananya’s mother’s mother related to Ananya? (a) aunt (b) grandmother (c) sister (d) mother
6. 6.Zoya, Ananya and Vivaan each play a different game: chess, carrom or football. Vivaan does not play football. Ananya does not play chess. Ananya does not play carrom. Vivaan does not play carrom. Which game does Ananya play? (a) chess (b) carrom (c) football
7. 7.Rohan is a boy. How is Rohan’s father’s sister related to Rohan? (a) sister (b) cousin (c) mother (d) aunt
8. 8.Runs scored in a cricket match: Siddharth 19, Farhan 46, Omkar 25, Aditya 10, Karan 8. Who has the most runs? (a) Omkar (b) Farhan (c) Aditya (d) Karan
9. 9.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
10. 10.1 January 2014 is a Wednesday. What day of the week is 4 November 2014? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
11. 11.Each person always tells the truth or always lies. Dev says: “Aditya and I are the same kind.” Aditya says: “Dev and I both tell the truth.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
12. 12.Statements: All boxes are balls. All boxes are shoes. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 18 × 6 ÷ 18?
14. 14.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
15. 15.Which number is the odd one out: 43, 47, 13, 10? (a) 43 (b) 47 (c) 13 (d) 10
16. 16.Find the missing number. The same rule works in every row or in every column.
    15 | 1 | 1
    15 | 1 | 1
    6 | ? | 2
17. 17.Diya, Isha and Ishaan each have a different pet: rabbit, parrot or tortoise. Diya does not have the tortoise. Isha does not have the tortoise. Isha does not have the parrot. Who has the parrot? (a) Diya (b) Isha (c) Ishaan
18. 18.Saanvi is a girl. How is Saanvi’s daughter’s husband related to Saanvi? (a) son (b) brother-in-law (c) nephew (d) son-in-law
19. 19.Each person always tells the truth or always lies. Ishaan says: “Vivaan and I are the same kind.” Vivaan says: “Ishaan and I both tell the truth.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
20. 20.Statements: No bags are coins. No rings are bags. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
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.Which number is the odd one out: 73, 71, 64, 31? (a) 73 (b) 71 (c) 64 (d) 31
23. 23.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 exactly three painted faces?
24. 24.How many degrees does the minute hand of a clock turn in 10 minutes? =
25. 25.Which number is the odd one out: 8, 81, 4, 9? (a) 8 (b) 81 (c) 4 (d) 9
26. 26.Aditya, Arjun and Kavya each play a different game: cricket, chess or football. Aditya does not play cricket. Arjun does not play chess. Arjun does not play cricket. Which game does Kavya play? (a) cricket (b) chess (c) football
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 13 + 7 ÷ 19?
28. 28.1 January 2035 is a Monday. What day of the week is 28 February 2035? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
29. 29.1 January 2022 is a Saturday. What day of the week is 9 July 2022? (a) Monday (b) Friday (c) Saturday (d) Sunday
30. 30.Aarav, Kabir and Isha each have a bag of a different colour: green, yellow or blue. Isha’s bag is not blue. Aarav’s bag is not green. Isha’s bag is not yellow. Kabir’s bag is not yellow. What colour is Aarav’s bag? (a) green (b) yellow (c) blue
31. 31.Neel walks 24 m South, then turns right and walks 7 m. How far is he from the starting point now, in a straight line (in m)?
32. 32.I am a 2-digit number. My digits add up to 7 and my tens digit is 7 more than my ones digit. What number am I?
33. 33.Four friends (Dev, Diya, Farhan and Riya) sit in a row. Left and right are as you look at them. Dev sits next to both Farhan and Diya. Diya sits just to the right of Dev. Diya sits next to both Dev and Riya. Who sits at the left end? (a) Dev (b) Diya (c) Farhan (d) Riya
34. 34.Arjun is heavier than Myra. Pooja is heavier than Arjun. Myra is heavier than Zoya. Who is the lightest? (a) Pooja (b) Myra (c) Arjun (d) Zoya
35. 35.If MILK is written as LMJN, how is FROG written in the same code? (a) HPSG (b) FNQE (c) GORF (d) GSPH
36. 36.Which capital letter does NOT look the same in a mirror? (a) E (b) M (c) T (d) Y
37. 37.Three friends (Ishaan, Karan and Priya) sit in a row. Left and right are as you look at them. Karan sits at the left end. Priya sits next to both Karan and Ishaan. Who sits at the right end? (a) Priya (b) Ishaan (c) Karan
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 10 + 17 × 17?
39. 39.Four friends (Ananya, Neel, Saanvi and Yash) sit in a row. Left and right are as you look at them. Saanvi does not sit at either end. Yash sits just to the right of Ananya. Saanvi sits somewhere to the left of Yash. Who sits at the left end? (a) Ananya (b) Neel (c) Saanvi (d) Yash
40. 40.If CAKE is written as AYIC, how is WIND written in the same code? (a) UGLB (b) TFKA (c) YKPF (d) VHMC

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