Question

Study the following table: Number of pages printed by 5 printers.

In percentage how much less is smallest number of printed pages in any day than the largest number of printed pages any other or same day?}

• A. 89% Approx.
• B. 65% Approx.
• C. 212% Approx.
• D. 111% Approx.

Hint:

To estimate quickly during exams without complete long division:
\(257 \approx 260\), and \(168 \approx 170\).
\(170 / 260 = 17 / 26 \approx 65\%\), which directly matches the 65% option.

Answer 1

The Correct Option is B

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Step 1: Understanding the Question: This question is based on tabular analysis and percentages.
We need to find the absolute minimum and the absolute maximum number of pages printed across all printers on any day.
Then, we compute the percentage by which this minimum value is less than the maximum value.

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Step 2: Key Formula or Approach:
First, locate the minimum value (\(V_{\text{min}}\)) and the maximum value (\(V_{\text{max}}\)) from the given table.
Then, use the percentage change formula:
\[ \text{Percentage Less} = \left(\frac{V_{\text{max}} - V_{\text{min}}}{V_{\text{max}}}\right) \times 100 \]

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Step 3: Detailed Explanation:
Let us scan the dataset to find the respective values:
- Scanning all rows and columns for the smallest value:
We observe that on Thursday, Printer A prints only 89 pages. Checking all other values, this is indeed the lowest value.
So, \(V_{\text{min}} = 89\).
- Scanning all rows and columns for the largest value:
We observe that on Friday, Printer C prints 257 pages. Checking all other values, this is indeed the highest value.
So, \(V_{\text{max}} = 257\).
Now, let us calculate the percentage difference:
The difference between these two values is:
\[ \text{Difference} = 257 - 89 = 168 \]
Now, we find how much less this is relative to the largest value:
\[ \text{Percentage Less} = \left(\frac{168}{257}\right) \times 100 \]
\[ \text{Percentage Less} \approx 0.65369 \times 100 \approx 65.37\% \]
Rounding off to the nearest option, we get approximately 65%.

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Step 4: Final Answer: The smallest number of pages is approximately 65% less than the largest number of pages, which corresponds to option (B).