Free School Safety Agent Inductive & Deductive Reasoning Question and Answers — Questions and Answers
Question 1: One of the lemon cakes that Kevin left unattended in the staff area for an hour vanished. All three of Margaret, Alice, and Peter have been charged with consuming the treat. Following a quest, you discover that: <br> <br> Margaret has a citrus allergy, but around lunch, she was seen exiting the staff room. <br> <br> Lemon cake is Alice's favorite flavor, but she wasn't seen near the staff area. <br> <br> Since Peter started, additional cakes have vanished and Peter has previously stolen cakes from the staff room. <br> <br> Who is the person you can infer has stolen the lemon cake most likely?
- Peter (Correct answer)
- Margaret
- Alice
Correct answer: Peter
Margaret is unlikely due to her citrus allergy, which would prevent her from eating lemon cake. Alice is also unlikely as she was not seen near the staff area. Peter, however, has a history of previously stealing cakes from the staff room and 'additional cakes have vanished' since he started, establishing a clear pattern of behavior and making him the most probable culprit.
Question 2: You bring £100 to an art market in the hopes that you would leave with a great painting to take home. You start to keep track of the prices of the works you have seen as you move around: £450, £2000, £500, and £1500. <br> <br> Which of the subsequent claims best exemplifies an inductive argument?
- You won’t find a painting to take home with you
- You probably won’t be able to afford any of the paintings (Correct answer)
- You’ll find a painting you can afford if you keep looking
- The art is overpriced
Correct answer: You probably won’t be able to afford any of the paintings
An inductive argument draws a probable conclusion based on specific observations. Here, the specific observations are that all four paintings seen so far are significantly more expensive than your £100 budget. The conclusion 'You probably won’t be able to afford any of the paintings' is an inductive inference because it generalizes from these limited examples to a likely future outcome, acknowledging it's not a certainty.
Question 3: The Red Room, Blue Room, Yellow Room, and Green Room are the names of the classrooms in a school.<br> <br> Which of the subsequent claims best exemplifies an inductive argument?
- The children in Red Room probably wear red clothes
- All of the classrooms are probably named after colors (Correct answer)
- There are 4 rooms in the school
- All of the above
Correct answer: All of the classrooms are probably named after colors
An inductive argument makes a generalization based on specific observations. The specific observations are that the Red Room, Blue Room, Yellow Room, and Green Room are all named after colors. From these specific examples, the statement 'All of the classrooms are probably named after colors' makes a probable generalization about the naming convention for all classrooms in the school, which is characteristic of inductive reasoning.
Question 4: 1. Vehicles are either to one another's right or left. <br> 2. The German car is parked next to just Dutch vehicles. <br> 3. The bus is twice as large as the German car. <br> 4. The Swedish vehicle is positioned close to the Dutch bicycle. <br> 5. The motorcycle and the cars next to the German car are also from the same country. <br> 6. The German car is only half as big as the motorcycle.<br> <br> The motorcycle is Dutch, as stated.
- False
- True (Correct answer)
- Insufficient information
Correct answer: True
Statement 2 indicates that the German car is parked next to only Dutch vehicles. Statement 5 then explicitly states that 'The motorcycle and the cars next to the German car are also from the same country.' Since the cars next to the German car are Dutch, it logically follows that the motorcycle must also be Dutch.
Question 5: 1. Vehicles are either to one another's right or left. <br> 2. The German car is parked next to just Dutch vehicles. <br> 3. The bus is twice as large as the German car. <br> 4. The Swedish vehicle is positioned close to the Dutch bicycle. <br> 5. The motorcycle and the cars next to the German car are also from the same country. <br> 6. The German car is only half as big as the motorcycle.<br> <br> The bus is eight times bigger than the motorcycle.
- False (Correct answer)
- True
- Insufficient information
Correct answer: False
Statement 3 says the bus is twice as large as the German car. Statement 6 says the German car is half as big as the motorcycle, meaning the motorcycle is twice as large as the German car. Therefore, both the bus and the motorcycle are twice the size of the German car, making them equal in size to each other. The claim that the bus is eight times bigger than the motorcycle is false.
Question 6: 1. Vehicles are either to one another's right or left. <br> 2. The German car is parked next to just Dutch vehicles. <br> 3. The bus is twice as large as the German car. <br> 4. The Swedish vehicle is positioned close to the Dutch bicycle. <br> 5. The motorcycle and the cars next to the German car are also from the same country. <br> 6. The German car is only half as big as the motorcycle.<br> <br> The bicycle is half as large as the motorcycle.
- False
- True
- Insufficient information (Correct answer)
Correct answer: Insufficient information
The provided statements offer no information regarding the size of the bicycle in relation to the motorcycle or any other vehicle. While we can deduce the nationalities of some vehicles, their relative sizes are only given for the bus, German car, and motorcycle. Therefore, there is insufficient information to determine if the bicycle is half as large as the motorcycle.
Question 7: A store selling art supplies: <br> <br> Paint tubes cost $1.50 each. <br> Two square feet of the canvas are covered by a tube of paint. <br> Small or big canvases are available, measuring 1 foot by 1.5 feet or 2 feet x 3 feet. <br> The price difference between the two canvases is proportional to their size. <br> A discounted starter set includes one small canvas, one large canvas, and four paint tubes cost $22. <br> When compared to purchasing the art supplies separately, the beginner's bundle deal saves $4. <br> The price of paint is not reduced for beginners. <br> <br> Both canvases can be painted using a package for beginners.
- False
- True (Correct answer)
- Insufficient information
Correct answer: True
The small canvas is 1.5 sq ft and the large canvas is 6 sq ft, totaling 7.5 sq ft of canvas. The beginner's package includes four paint tubes, with each tube covering 2 sq ft. This provides a total of 8 sq ft of paint coverage (4 tubes * 2 sq ft/tube). Since 8 sq ft of paint is more than the 7.5 sq ft of canvas, there is enough paint to cover both canvases.
Free School Safety Agent Inductive & Deductive Reasoning Question and Answers
One of the lemon cakes that Kevin left unattended in the staff area for an hour vanished.
All three of Margaret, Alice, and Peter have been charged with consuming the treat.
Following a quest, you discover that:
Margaret has a citrus allergy, but around lunch, she was seen exiting the staff room.
Lemon cake is Alice's favorite flavor, but she wasn't seen near the staff area.
Since Peter started, additional cakes have vanished and Peter has previously stolen cakes from the staff room.
Who is the person you can infer has stolen the lemon cake most likely?