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Part 1: Main Homework NO. ANSWER 1 ● Clue 1: Thinking Skills is in Room 4. ● Clue 2: A class is held in Room 1 at 8:00am. ● Clue 3: Keira has Writing. ● Clue 4: Lisa has a class at 1:00pm, and it is not Maths. ● Clue 5: Maths is at 10:00am and not held in Room 3. Step-by-step: 1. Room 1 at 8:00am: Based on Clue 2, this is not Thinking Skills (since it's in Room 4). So, Maths must be at 8:00am in Room 1. 2. Room 2 at 10:00am: Since Maths is at 8:00am, Maths is in Room 2 at 10:00am (Clue 5), leaving Thinking Skills in Room 4 at 1:00pm. 3. Keira has Writing. Based on Clue 3, Keira must have Writing, which leaves her with Room 3 at 12:00pm. 4. Lisa has a class at 1:00pm, and it is not Maths. Based on Clue 4, Lisa must have Thinking Skills at 1:00pm in Room 4. Checking the options: 1. There is a class in Room 4 at 1:00pm. This is true because Lisa has Thinking Skills at 1:00pm in Room 4. 2. Anthony has a class at 12:00pm. This is false because Anthony is in Room 1 at 8:00am (Maths). 3. Lisa has Maths. This is false because Lisa has Thinking Skills. 4. Thinking Skills is not conducted at 1:00pm. This is false because Thinking Skills is taught at 1:00pm. Option A is the correct answer. 2 Clue 1 tells us that three people chose their favourite flavour, and two chose flavours that were not their favourites. Clue 4 tells us that James chose chocolate, and it was his favourite. Clue 5 tells us that Lily’s favourite flavour is chocolate, but she chose strawberry. Therefore, Lily has strawberry, not her favourite. Clue 6 tells us that Max’s favourite flavour is strawberry, but he chose mango. So, Max has mango, not his favourite. Clue 3 tells us that Emma and Oliver did not choose their favourite flavour. Assigning Flavours: ● Since James chose chocolate, he has chocolate. ● Lily has strawberry (not her favourite). ● Max has mango (not his favourite). ● Since Emma and Oliver did not choose their favourite flavours, and mango and chocolate are already ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 1


- Since Lightning's number cannot be 5, 4, 3, or 2, the only possible number left for Lightning is 1. Option A is the correct answer. 6 1. Ahn is the father of Dave, but is not a scientist. 2. Bobby can either be a scientist or a writer. 3. Cho is an architect, and is the father of Evelyn. 4. Frank is the son of a scientist. From statement 1, we know Ahn cannot be a scientist, so he must be either an architect or a writer. From statement 3, we know Cho is the father of Evelyn and he's an architect. From statement 4, we know that Frank is the son of a scientist. Since Ahn cannot be a scientist, Bobby must be the scientist. So, Bobby is the father of Frank. Since Dave is not Bobby's child, he must be Ahn's child. And since Ahn is not a scientist, Dave's father must be a writer. Therefore, the profession of Dave’s father is a Writer. Option C is the correct answer. 7 We know from the question that Racheal likes drama and lives in Parramatta, we also know that the person who is a violist lives in Eastwood. This leaves Chatswood and Carlingford to go with a person who plays Oztag and likes to crochet. The person who lives in Chatswood does not play Oztag, therefore the person who lives in Chatswood must be the one who likes crocheting. This means Ethan must live in Chatswood. If Ethan lives in Chatswood, then Kate must be the violist who lives in Eastwood. Finally, if Kate is the violist and we know Ethan is the person who likes crochet and Rachael likes drama, then Josh must play Oztag. Option C is the correct answer. 8 To achieve the desired ratio of 1/2 oil and 1/2 vinegar in a 120 ml container, Sally needs 60 ml of oil and 60 ml of vinegar. Initially, the container has 2/3 oil and 1/3 vinegar: - Oil: (2/3) * 120 ml = 80 ml - Vinegar: (1/3) * 120 ml = 40 ml Sally needs to remove some of the mixture and replace it with vinegar to achieve 60 ml of oil and 60 ml of vinegar. If she removes x ml of the mixture, she removes (2/3)x ml of oil and (1/3)x ml of vinegar. The remaining amounts will be: - Oil: 80 ml - (2/3)x ml - Vinegar: 40 ml - (1/3)x ml + x ml (since she adds x ml of vinegar) ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 4

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