Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 99 · 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.Arjun walks 16 m West, turns left and walks 15 m, then turns left again and walks 8 m. How far is he from the starting point now, in a straight line (in m)?
2. 2.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan does not finish the homework. What can you say about “Ishaan goes to the park”? (a) must be true (b) must be false (c) can't tell
3. 3.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 one painted face?
4. 4.Today is Monday. What day of the week will it be 80 days from today? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 12 + 17 − 6?
6. 6.Three friends (Aditya, Kavya and Saanvi) sit in a row. Left and right are as you look at them. Saanvi sits just to the right of Aditya. Aditya sits next to both Kavya and Saanvi. Who sits just to the right of Kavya? (a) Kavya (b) Saanvi (c) Aditya
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 7 × 12 + 2?
8. 8.Four friends (Aditya, Karan, Manav and Nisha) sit in a row. Left and right are as you look at them. Nisha sits just to the right of Karan. Manav sits just to the right of Aditya. Karan sits next to both Manav and Nisha. Who sits at the left end? (a) Karan (b) Nisha (c) Aditya (d) Manav
9. 9.Ananya is a girl. How is Ananya’s brother’s wife related to Ananya? (a) sister-in-law (b) sister (c) cousin (d) aunt
10. 10.Rule: If Ananya scores above 90, then Ananya gets a gold star. Fact: Ananya gets a gold star. What can you say about “Ananya does not score above 90”? (a) must be true (b) must be false (c) can't tell
11. 11.Kites flown at Makar Sankranti: Meera 24, Vivaan 4, Yash 11, Isha 10, Dev 3. How many children have more than 10 kites?
12. 12.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: 49 45 60 92 73 82. After step 2, what is the 6th number from the left?
13. 13.In a group of 43 children, 24 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
14. 14.Find the missing number. The same rule works in every row or in every column.
    17 | 12 | 29
    3 | 2 | 5
    20 | 18 | ?
15. 15.Rahul is a boy. How is Rahul’s son’s wife related to Rahul? (a) daughter (b) daughter-in-law (c) niece (d) sister-in-law
16. 16.Each person always tells the truth or always lies. Pooja says: “Aditya tells the truth.” Aditya says: “Siddharth and I both tell the truth.” Siddharth says: “Aditya is a liar.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.Statements: No toys are coins. All bells are coins. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
18. 18.Farhan walks 3 m West, then turns right and walks 8 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
19. 19.Ishaan is a boy. How is Ishaan’s father’s sister’s husband related to Ishaan? (a) uncle (b) brother-in-law (c) grandfather (d) father
20. 20.Kites flown at Makar Sankranti: Manav 22, Diya 5, Myra 6, Siddharth 11, Saanvi 10. What is the total for all five children?
21. 21.In a group of 26 children, 5 sing Hindi songs, 17 sing English songs and 2 sing both. How many sing neither of the two?
22. 22.Each person always tells the truth or always lies. Karan says: “Rohan and I both tell the truth.” Diya says: “Karan is a liar.” Rohan says: “Diya and I are different kinds.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
23. 23.Books read in the summer holidays: Kabir 26, Aarav 15, Zoya 25, Priya 4, Aisha 6. What is the total for all five children?
24. 24.Ananya, Myra and Manav each have a bag of a different colour: yellow, red or green. Myra’s bag is not green. Ananya’s bag is not yellow. Manav’s bag is not green. Myra’s bag is not yellow. Whose bag is yellow? (a) Ananya (b) Myra (c) Manav
25. 25.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?
26. 26.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 9. What comes out after step 3?
27. 27.Tara, Manav and Aisha each play a different game: carrom, badminton or chess. Manav does not play badminton. Aisha does not play badminton. Aisha does not play chess. Which game does Tara play? (a) carrom (b) badminton (c) chess
28. 28.Each person always tells the truth or always lies. Neel says: “At least one of us two, Ishaan or I, is a liar.” Sneha says: “Neel tells the truth.” Ishaan says: “Neel and I both tell the truth.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
29. 29.Statements: Some cups are boxes. Some bells are boxes. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
30. 30.Find the missing number. The same rule works in every row or in every column.
    19 | 17 | 36
    8 | 10 | ?
    5 | 2 | 7
31. 31.Manav, Siddharth and Vivaan each play a different game: cricket, chess or carrom. Siddharth does not play cricket. Manav does not play carrom. Siddharth does not play chess. Vivaan does not play cricket. Who plays carrom? (a) Manav (b) Siddharth (c) Vivaan
32. 32.Each person always tells the truth or always lies. Priya says: “Neel is a liar.” Neel says: “Priya and I both tell the truth.” Is Priya a truth-teller or a liar? (a) truth-teller (b) liar
33. 33.1 January 2025 is a Wednesday. What day of the week is 15 June 2025? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
34. 34.Tara runs slower than Karan. Karan runs slower than Aditya. Who runs the slowest? (a) Aditya (b) Karan (c) Tara
35. 35.Ishaan, Zoya and Diya each have a different pet: cat, dog or parrot. Zoya does not have the parrot. Zoya does not have the cat. Diya does not have the cat. Which pet does Zoya have? (a) cat (b) dog (c) parrot
36. 36.Aarav is a boy. How is Aarav’s sister’s daughter related to Aarav? (a) sister (b) daughter (c) niece (d) aunt
37. 37.Marks in a maths test (out of 50): Nisha 36, Kabir 50, Dev 28, Manav 15, Meera 45. What is the difference between the highest and the lowest?
38. 38.Find the missing number. The same rule works in every row or in every column.
    16 | 16 | 6
    ? | 6 | 1
    27 | 22 | 7
39. 39.Five friends (Kabir, Karan, Neel, Rohan and Vivaan) sit in a row. Left and right are as you look at them. Karan sits next to both Neel and Vivaan. Rohan sits somewhere to the left of Neel. Kabir sits somewhere to the left of Vivaan. Vivaan sits just to the right of Karan. Kabir sits next to both Rohan and Neel. Who sits at the left end? (a) Rohan (b) Neel (c) Karan (d) Vivaan
40. 40.I am a 2-digit number. My digits add up to 13 and my tens digit is 1 more than my ones digit. What number am I?

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