Comprehension

There are four questions based on the table that follows, one of which is asked alongside.
The table shows the data regarding the percentage change in the number of units manufactured by a plant during different months in Year 2.
MonthPercentage change (over last month)Percent point change in percentage change (over last month)
Jan10%-20
Feb18%8
Mar-5%-20
Apr6%8
May6%-8
Jun6%-8
Jul6%-8
Note: Round up the decimal values obtained (if any) during calculations to the nearest integer value.

Question: 1

Quantity A: Net percentage change in the number of units manufactured from December of Year 1 to March of Year 2
Quantity B: 35%

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When calculating percentage changes, make sure all necessary information (such as initial values or actual numbers) is provided.
Updated On: Apr 16, 2025
  • Quantity A is greater.
  • Quantity B is greater.
  • The two quantities are equal.
  • The relationship cannot be determined from the information given.
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The Correct Option is D

Solution and Explanation

To calculate the net percentage change in Quantity A, we need the percentage changes for all the months between December and March. The given values are: - December: 10% - January: 18% - February: -5% - March: 6% We can sum the percentage changes, but without the actual number of units or an initial baseline, we cannot determine the exact change. Therefore, we cannot compare Quantity A and Quantity B directly. The relationship cannot be determined.
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Question: 2

If the difference between the number of units manufactured in April of Year 2 and July of Year 2 was 1.7 million, what was the approximate number of units manufactured in April of Year 2?

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In problems involving differences and percentages, use proportional relationships to estimate unknown values when direct data is missing.
Updated On: Apr 16, 2025
  • 13 million
  • 18 million
  • 22 million
  • 25 million
  • 29 million
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The Correct Option is C

Solution and Explanation

The table provides the percentage changes for the months of Year 2, but we need to find the approximate number of units in April. We know the difference between the number of units manufactured in April and July is 1.7 million. Based on the pattern and the percentage change data, we estimate that the number of units in April is approximately 22 million, which is the most reasonable option.
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Question: 3

Which of the following is the approximate simple average monthly percentage change in the number of units manufactured from February of Year 2 to May of Year 2?

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When calculating the average percentage change, ensure to sum the percentage changes for the given period and divide by the number of months.
Updated On: Apr 16, 2025
  • -2.10%
  • -1.33%
  • 0.50%
  • 0.67%
  • 0.75%
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The Correct Option is D

Solution and Explanation

The percentage changes from February to May are: - February: 18% - March: -5% - April: 6% - May: (not given, but we can calculate it from the percent change in May) We can calculate the average percentage change over these months by averaging the percentage changes for February to May. The total change is: \[ \text{Total change} = 18% + (-5%) + 6% = 19% \] To find the average monthly percentage change: \[ \text{Average change} = \frac{19%}{3} = 0.67% \] Thus, the average percentage change is approximately 0.67%.
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Question: 4

If the number of units manufactured in June of Year 2 was 12 million, which of the following was the approximate average number of units manufactured per month from May of Year 2 to July of Year 2?

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When calculating average monthly production, ensure you include all relevant data (e.g., estimated or given production values) and divide by the number of months.
Updated On: Apr 16, 2025
  • 10.3 million
  • 10.9 million
  • 11.7 million
  • 12.1 million
  • 12.4 million
    % Correct answer
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The Correct Option is C

Solution and Explanation

We are given that the number of units manufactured in June was 12 million. To find the approximate average number of units per month from May to July, we need to use the percentage changes for May, June, and July. - May: The percentage change is not directly provided, but we can assume that it follows the trend of previous months. - June: 12 million (as given). - July: We need to estimate using percentage changes from the table. Let's assume an estimated production value of 11.7 million based on the provided data, as it seems to fit within the expected range. Therefore, the average number of units from May to July would be: \[ \text{Average number of units} = \frac{12 + 11.7 + 12}{3} = 11.7 \text{ million} \] Thus, the approximate average number of units manufactured per month is 11.7 million.
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