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x, y and z are three positive integers such that x > y > z. Which of the following is closest to the product xyz?
  • a)
    (x - 1)yz
  • b)
    x(y - 1)z
  • c)
    xy(z - 1)
  • d)
    x(y + 1)z
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
x, y and z are three positive integers such that x > y > z. Whic...
The expressions in the four options can be expanded as
xyz-yz; xyz-xz; xyz-xy and xyz+xz
The closest value to xyz would be xyz-yz, as yz is the least value among yz, xz and xy.
Option a) is the correct answer.
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x, y and z are three positive integers such that x > y > z. Whic...
Explanation:

Given:
x, y, and z are three positive integers such that x > y > z.

To find:
The expression closest to the product xyz.

Solution:

Approach:
To find the closest expression to the product xyz, we need to consider the given condition x > y > z.
- We know that x is the largest among x, y, and z. So, the closest expression to xyz would be when we replace x with (x - 1) to get a smaller value.
- This is because if we replace x with (x - 1), the product xyz will decrease, making it closer to the actual value.

Calculations:
Let's consider option A: (x - 1)yz
- If we substitute x with (x - 1), the expression becomes: (x - 1)yz
- The product of this expression is: (x - 1) * y * z
- This expression will be closest to the product xyz because we are replacing the largest value x with (x - 1), making the product smaller.
Therefore, option A: (x - 1)yz is the closest to the product xyz.
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Directions: Study the following information carefully and answer the questions given beside.A mobile phone manufacturer wants to understand the market demand for its latest product range. The manufacturer has three products in its range – A, B, and C. The manufacturer conducted a survey of 5000 customers to understand the popularity of these products. The results of the survey are given below:Product A: 40% of the customers preferred this product.Product B: 20% of the customers preferred this product.Product C: 40% of the customers preferred this product.The manufacturer also analyzed the age group of the customers who preferred each product. The results of this analysis are given below:Product A: 45% of the customers who preferred this product were between the ages of 18 and 30. 30% of the customers who preferred this product were between the ages of 31 and 45. 25% of the customers who preferred this product were between the ages of 46 and 60.Product B: 20% of the customers who preferred this product were between the ages of 18 and 30. 40% of the customers who preferred this product were between the ages of 31 and 45. 40% of the customers who preferred this product were between the ages of 46 and 60.Product C: 50% of the customers who preferred this product were between the ages of 18 and 30. 30% of the customers who preferred this product were between the ages of 31 and 45. 20% of the customers who preferred this product were between the ages of 46 and 60.Questions asked are about only these 5000 customers.Q.What is the number of customers who preferred B and were above 30 years of age?

Directions: Study the following information carefully and answer the questions given beside.A mobile phone manufacturer wants to understand the market demand for its latest product range. The manufacturer has three products in its range – A, B, and C. The manufacturer conducted a survey of 5000 customers to understand the popularity of these products. The results of the survey are given below:Product A: 40% of the customers preferred this product.Product B: 20% of the customers preferred this product.Product C: 40% of the customers preferred this product.The manufacturer also analyzed the age group of the customers who preferred each product. The results of this analysis are given below:Product A: 45% of the customers who preferred this product were between the ages of 18 and 30. 30% of the customers who preferred this product were between the ages of 31 and 45. 25% of the customers who preferred this product were between the ages of 46 and 60.Product B: 20% of the customers who preferred this product were between the ages of 18 and 30. 40% of the customers who preferred this product were between the ages of 31 and 45. 40% of the customers who preferred this product were between the ages of 46 and 60.Product C: 50% of the customers who preferred this product were between the ages of 18 and 30. 30% of the customers who preferred this product were between the ages of 31 and 45. 20% of the customers who preferred this product were between the ages of 46 and 60.Questions asked are about only these 5000 customers.Q.What percentage of total customers were aged between 31 and 45?

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x, y and z are three positive integers such that x > y > z. Which of the following is closest to the product xyz?a)(x - 1)yzb)x(y - 1)zc)xy(z - 1)d)x(y + 1)zCorrect answer is option 'A'. Can you explain this answer?
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