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Question

Statement: XYZ company has marked its product, “Go ahead and purchase it, if price and quality are your consideration.”

Conclusions:

I. The product must be good in quality.

II. The price of the product must be reasonable.

The correct answer is

If both conclusion I and II follow

Analyzing the Product Statement and Conclusions

The question asks us to evaluate two conclusions based on a statement made by XYZ company about their product. The statement is: “Go ahead and purchase it, if price and quality are your consideration.”

Let's break down the statement and the conclusions:

  • Statement: The company recommends purchasing the product *if* a buyer is considering price and quality. This means the recommendation is conditional. The condition is "price and quality are your consideration". The implied consequence of this condition being met is that the product is suitable for purchase based on those factors.
  • Conclusion I: The product must be good in quality.
  • Conclusion II: The price of the product must be reasonable.

Evaluation of Conclusion I: Product Quality

The statement links the recommendation to purchase to the consideration of quality. For someone who considers quality, the product is deemed suitable for purchase. This strongly implies that the product meets a standard of quality that is considered "good" by the company, sufficient for a purchase decision based on this factor.

If the product were of poor quality, the company's recommendation based on quality consideration would be misleading. Therefore, Conclusion I, stating the product must be good in quality, follows logically from the premise that purchase is recommended if quality is a consideration.

Evaluation of Conclusion II: Product Price

Similarly, the statement links the recommendation to purchase to the consideration of price. For someone who considers price, the product is deemed suitable for purchase. This suggests that the price meets a standard that is considered "reasonable" by the company, sufficient for a purchase decision based on this factor.

If the price were unreasonable (too high), recommending purchase based on price consideration would not make sense. Therefore, Conclusion II, stating the price of the product must be reasonable, also follows logically from the premise that purchase is recommended if price is a consideration.

Overall Analysis

The statement essentially says: "If you care about price and quality, you should buy this product." This implies that the product satisfies the implicit requirements for price and quality for someone who prioritizes these factors. Therefore, both the quality must be good and the price must be reasonable for the statement to hold true and for the recommendation to be valid based on the stated conditions.

Both Conclusion I and Conclusion II are necessary conditions for the company's statement to be a rational recommendation for someone who considers price and quality.

Statement Element Implied Meaning Corresponding Conclusion Does it Follow?
"if price... are your consideration" Suitability based on price Conclusion II: Price is reasonable Yes
"if... quality are your consideration" Suitability based on quality Conclusion I: Quality is good Yes

Based on this analysis, both Conclusion I and Conclusion II follow from the given statement.

Revision Table: Statement and Conclusion Analysis

Concept Description Relevance to Question
Statement Analysis Breaking down the main premise given. Understanding XYZ company's product claim.
Drawing Conclusions Inferring logical consequences from the statement. Checking if the quality and price claims are supported.
Conditional Statements Statements in the form "If P, then Q". The company's statement is a conditional recommendation based on consumer considerations.
Logical Inference Deriving conclusions that must be true if the premise is true. Determining if the goodness of quality and reasonableness of price are necessary inferences.

Additional Information: Logical Deduction and Marketing Claims

In logical reasoning, we examine whether a conclusion necessarily follows from the premises. In this case, the statement acts as the premise. The statement makes a strong claim: if you care about price and quality, you should buy the product. This isn't just a casual suggestion; it's a recommendation tied specifically to those two criteria.

For this recommendation to be honest and logical from the company's perspective (assuming they want satisfied customers who consider these things), the product must indeed measure up in terms of price and quality. If the quality were poor, or the price exorbitant, the statement would be misleading to someone whose primary considerations are price and quality.

Consider it this way: The statement implies that the product meets the standards required by someone who considers price and quality. What standards would such a person expect? They would expect good quality and a reasonable price. Therefore, the statement logically leads to the conclusion that the product possesses these characteristics.

This type of question tests your ability to understand implicit claims and logical consequences within statements, particularly in a context that resembles real-world marketing or recommendations.

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Important Questions from Volume and Surface Area

  1. If the base radius of a cone is doubled and its height is halved, then the volume of the new cone will be:

  2. How many solid spherical balls, each of diameter 1.5 cm, can be made by melting a solid cylinder with height 36cm and base radius 8cm?

  3. Three cubes each of volume 343 cm³ are placed side by side. What will be the surface area of the solid so formed (in cm²)?

  4. A solid metallic sphere of radius 8 cm is melted and recasted as a cone of height 8 cm. Find the base radius of the cone (in cm).

  5. The volume of a wall which is 5 times as high as it is broad and 8 times as long as it is high, is 12.8m³. The breadth of the wall is:

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